%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP342-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:33:17 PM UTC 2026
% Result : Unsatisfiable 20.04s 9.96s
% Output : CNFRefutation 20.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 45
% Syntax : Number of formulae : 509 ( 147 unt; 11 def)
% Number of atoms : 1900 ( 909 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 696 ( 201 ~; 495 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 114 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c8 = multiply(sk_c3,sk_c4)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c3) = sk_c4
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c4 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c3,sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c3) = sk_c4
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c4 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c3,sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c3) = sk_c4
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c4 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c3,sk_c4)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c4
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c4 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c8
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = multiply(sk_c3,sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c3) = sk_c4
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c4 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c6
| multiply(X3,sk_c7) != sk_c8
| inverse(X2) != X3
| multiply(X2,X3) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c7
| multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != multiply(X3,sk_c7)
| inverse(X2) != X3
| sk_c8 != multiply(X2,X3)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X1,sk_c6)
| sk_c7 != inverse(X1)
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X0,X1,X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != multiply(inverse(X2),sk_c7)
| sk_c8 != multiply(X2,inverse(X2))
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X1,sk_c6)
| sk_c7 != inverse(X1)
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(equality_resolution,[],[f66]) ).
tcf(c_83,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_84,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_86,negated_conjecture,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( multiply(sk_c3,sk_c4) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_90,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c4 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_99,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_101,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c4 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c3) = sk_c4 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c8 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X3,sk_c8) != sk_c6 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 )
| ( multiply(inverse(X2),sk_c7) != sk_c8 )
| ( multiply(X2,inverse(X2)) != sk_c8 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_410,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).
tcf(c_411,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_412,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c7) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_116]) ).
tcf(c_413,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_414,definition,
iPr_def_14 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_415,definition,
iPr_def_15 = multiply(sk_c8,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_416,definition,
iPr_def_16 = multiply(sk_c2,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_417,definition,
iPr_def_17 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_418,definition,
iPr_def_18 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_419,definition,
iPr_def_19 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_420,definition,
iPr_def_20 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_421,definition,
iPr_def_21 = multiply(sk_c3,sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_422,definition,
iPr_def_22 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_423,definition,
iPr_def_23 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_424,definition,
iPr_def_24 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_425,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c7 )
| ( iPr_def_14 != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_413,c_415,c_414]) ).
tcf(c_426,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c7) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_412]) ).
tcf(c_427,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_411]) ).
tcf(c_428,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_410]) ).
tcf(c_429,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_409]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_115,c_417,c_416]) ).
tcf(c_431,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_114,c_418]) ).
tcf(c_432,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_113,c_419]) ).
tcf(c_433,negated_conjecture,
( ( iPr_def_20 = sk_c4 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_112,c_420]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111,c_421]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_109,c_422]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_20 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_103,c_423]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_20 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_97,c_424]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_20 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_455,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_20 = sk_c4 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_458,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_459,negated_conjecture,
( ( iPr_def_15 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_706,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c8 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_436,c_430]) ).
tcf(c_719,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_436,c_414]) ).
tcf(c_720,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_435,c_414]) ).
tcf(c_723,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_430,c_414]) ).
tcf(c_734,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_437,c_415]) ).
tcf(c_740,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_437,c_416]) ).
tcf(c_754,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_438,c_414]) ).
tcf(c_778,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_440,c_414]) ).
tcf(c_795,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_22,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_441,c_414]) ).
tcf(c_808,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_442,c_418]) ).
tcf(c_809,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c6) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_442,c_415]) ).
tcf(c_821,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_443,c_416]) ).
tcf(c_831,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_444,c_418]) ).
tcf(c_844,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(iPr_def_20,sk_c7) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_445,c_419]) ).
tcf(c_847,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_441,c_419]) ).
tcf(c_877,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_445,c_421]) ).
tcf(c_878,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_439,c_421]) ).
tcf(c_879,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_433,c_421]) ).
tcf(c_887,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_440,c_423]) ).
tcf(c_888,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_438,c_423]) ).
tcf(c_889,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_436,c_423]) ).
tcf(c_927,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(superposition,[status(thm)],[c_420,c_84]) ).
tcf(c_928,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(superposition,[status(thm)],[c_417,c_84]) ).
tcf(c_929,plain,
multiply(iPr_def_24,sk_c1) = identity,
inference(superposition,[status(thm)],[c_424,c_84]) ).
tcf(c_930,plain,
multiply(iPr_def_22,sk_c2) = identity,
inference(superposition,[status(thm)],[c_422,c_84]) ).
tcf(c_935,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_446,c_418]) ).
tcf(c_959,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_447,c_423]) ).
tcf(c_1039,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_448,c_418]) ).
tcf(c_1040,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c6) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_448,c_415]) ).
tcf(c_1060,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_449,c_416]) ).
tcf(c_1089,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_450,c_418]) ).
tcf(c_1090,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c6) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_450,c_415]) ).
tcf(c_1107,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_451,c_421]) ).
tcf(c_1108,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(iPr_def_20,sk_c7) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_451,c_419]) ).
tcf(c_1128,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_452,c_418]) ).
tcf(c_1129,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c6) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_452,c_415]) ).
tcf(c_1156,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_453,c_423]) ).
tcf(c_1219,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_454,c_416]) ).
tcf(c_1220,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_454,c_415]) ).
tcf(c_1255,plain,
( ( sk_c6 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_455,c_416]) ).
tcf(c_1335,plain,
( ( sk_c6 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_457,c_421]) ).
tcf(c_1407,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_459,c_416]) ).
tcf(c_1408,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_459,c_415]) ).
tcf(c_1446,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_706,c_418]) ).
tcf(c_1683,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_21 )
| ( sk_c7 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_458,c_425]) ).
tcf(c_1684,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_19 )
| ( sk_c7 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_456,c_425]) ).
tcf(c_1686,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_17 )
| ( sk_c7 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_454,c_425]) ).
tcf(c_1775,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_14 )
| ( inverse(sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_414,c_427]) ).
tcf(c_1776,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_18 )
| ( inverse(sk_c5) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_418,c_427]) ).
tcf(c_1791,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_18 )
| ( sk_c8 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_1776,c_417]) ).
tcf(c_1892,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_23 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_423,c_428]) ).
tcf(c_1909,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_24 )
| ( sk_c8 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_1892,c_424]) ).
tcf(c_2013,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_15 )
| ( inverse(sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_415,c_429]) ).
tcf(c_2014,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_16 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_416,c_429]) ).
tcf(c_2029,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_22 )
| ( sk_c7 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_2014,c_422]) ).
tcf(c_2130,plain,
( ~ iPr_def_13
| ( multiply(sk_c3,iPr_def_20) != sk_c8 )
| ( multiply(inverse(sk_c3),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_420,c_426]) ).
tcf(c_2149,plain,
( ~ iPr_def_13
| ( multiply(iPr_def_20,sk_c7) != sk_c8 )
| ( multiply(sk_c3,iPr_def_20) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2130,c_420]) ).
tcf(c_2446,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_414,c_85]) ).
tcf(c_2447,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_415,c_85]) ).
tcf(c_2448,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c4,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_421,c_85]) ).
tcf(c_2450,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_418,c_85]) ).
tcf(c_2451,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_423,c_85]) ).
tcf(c_2452,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c6,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_416,c_85]) ).
tcf(c_2454,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2456,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_927,c_85]) ).
tcf(c_2457,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_928,c_85]) ).
tcf(c_2458,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_929,c_85]) ).
tcf(c_2459,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_930,c_85]) ).
tcf(c_2465,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2459,c_83]) ).
tcf(c_2466,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2458,c_83]) ).
tcf(c_2467,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2457,c_83]) ).
tcf(c_2468,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2456,c_83]) ).
tcf(c_2569,plain,
multiply(iPr_def_22,iPr_def_16) = sk_c6,
inference(superposition,[status(thm)],[c_416,c_2465]) ).
tcf(c_2612,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_16,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2569,c_85]) ).
tcf(c_2614,plain,
multiply(iPr_def_24,iPr_def_23) = sk_c7,
inference(superposition,[status(thm)],[c_423,c_2466]) ).
tcf(c_2617,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_23,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2614,c_85]) ).
tcf(c_2707,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_448,c_719]) ).
tcf(c_2711,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_719,c_85]) ).
tcf(c_2904,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_448,c_723]) ).
tcf(c_2908,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_723,c_85]) ).
tcf(c_2930,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_706,c_734]) ).
tcf(c_3099,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_740,c_85]) ).
tcf(c_3109,plain,
multiply(iPr_def_17,iPr_def_18) = sk_c8,
inference(superposition,[status(thm)],[c_418,c_2467]) ).
tcf(c_3112,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_18,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3109,c_85]) ).
tcf(c_3118,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c4,
inference(superposition,[status(thm)],[c_421,c_2468]) ).
tcf(c_3121,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3118,c_85]) ).
tcf(c_3284,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_450,c_754]) ).
tcf(c_3289,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_754,c_85]) ).
tcf(c_3319,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_452,c_778]) ).
tcf(c_3325,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_22,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_778,c_85]) ).
tcf(c_3433,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_808,c_2467]) ).
tcf(c_3434,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3433,c_3109]) ).
tcf(c_3449,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_454,c_809]) ).
tcf(c_3501,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(iPr_def_22,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_821,c_2465]) ).
tcf(c_3502,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c8 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_3501,c_2569]) ).
tcf(c_3646,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_831,c_2467]) ).
tcf(c_3647,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_3646,c_3109]) ).
tcf(c_3845,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_447,c_844]) ).
tcf(c_4405,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_887,c_2466]) ).
tcf(c_4406,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_4405,c_2614]) ).
tcf(c_4420,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_888,c_2466]) ).
tcf(c_4421,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_4420,c_2614]) ).
tcf(c_4435,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_889,c_2466]) ).
tcf(c_4436,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_4435,c_2614]) ).
tcf(c_4502,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_935,c_2467]) ).
tcf(c_4503,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_4502,c_3109]) ).
tcf(c_4601,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_959,c_2466]) ).
tcf(c_4602,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4601,c_2614]) ).
tcf(c_4800,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1039,c_2467]) ).
tcf(c_4801,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_4800,c_3109]) ).
tcf(c_5025,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1089,c_2467]) ).
tcf(c_5026,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5025,c_3109]) ).
tcf(c_5044,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_456,c_1090]) ).
tcf(c_5128,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_453,c_1108]) ).
tcf(c_5163,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1128,c_2467]) ).
tcf(c_5164,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c8 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_5163,c_3109]) ).
tcf(c_5337,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_458,c_1129]) ).
tcf(c_5411,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1156,c_2466]) ).
tcf(c_5412,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5411,c_2614]) ).
tcf(c_5507,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1219,c_2465]) ).
tcf(c_5508,plain,
( ( sk_c6 = iPr_def_14 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_5507,c_2569]) ).
tcf(c_5566,plain,
( ( sk_c6 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1255,c_2465]) ).
tcf(c_5567,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c6 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5566,c_2569]) ).
tcf(c_7168,plain,
multiply(sk_c7,iPr_def_15) = multiply(iPr_def_14,sk_c6),
inference(superposition,[status(thm)],[c_415,c_2446]) ).
tcf(c_7389,plain,
multiply(sk_c3,iPr_def_19) = multiply(iPr_def_21,sk_c7),
inference(superposition,[status(thm)],[c_419,c_2448]) ).
tcf(c_7633,plain,
multiply(sk_c5,iPr_def_15) = multiply(iPr_def_18,sk_c6),
inference(superposition,[status(thm)],[c_415,c_2450]) ).
tcf(c_7884,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c6,sk_c8) = multiply(iPr_def_22,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_720,c_2612]) ).
tcf(c_7885,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_24) = multiply(iPr_def_22,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2904,c_2612]) ).
tcf(c_7978,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c7,sk_c6) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_809,c_2617]) ).
tcf(c_7981,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_14) = multiply(iPr_def_24,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_3449,c_2617]) ).
tcf(c_8035,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2454,c_83]) ).
tcf(c_8041,plain,
multiply(inverse(sk_c8),iPr_def_15) = sk_c6,
inference(superposition,[status(thm)],[c_415,c_8035]) ).
tcf(c_8043,plain,
multiply(inverse(sk_c4),iPr_def_19) = sk_c7,
inference(superposition,[status(thm)],[c_419,c_8035]) ).
tcf(c_8047,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_8035]) ).
tcf(c_8048,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_8035]) ).
tcf(c_8049,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_85,c_8035]) ).
tcf(c_8159,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2468,c_8035]) ).
tcf(c_8160,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2467,c_8035]) ).
tcf(c_8161,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2466,c_8035]) ).
tcf(c_8162,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2465,c_8035]) ).
tcf(c_8196,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_8035,c_8035]) ).
tcf(c_9031,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_8048,c_8196]) ).
tcf(c_9041,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_9031,c_2446]) ).
tcf(c_9043,plain,
multiply(sk_c8,sk_c6) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_9031,c_2447]) ).
tcf(c_9044,plain,
multiply(sk_c4,identity) = multiply(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_9031,c_3121]) ).
tcf(c_9048,plain,
multiply(sk_c8,identity) = multiply(iPr_def_17,iPr_def_18),
inference(superposition,[status(thm)],[c_9031,c_3112]) ).
tcf(c_9049,plain,
multiply(sk_c7,identity) = multiply(iPr_def_24,iPr_def_23),
inference(superposition,[status(thm)],[c_9031,c_2617]) ).
tcf(c_9050,plain,
multiply(sk_c6,identity) = multiply(iPr_def_22,iPr_def_16),
inference(superposition,[status(thm)],[c_9031,c_2612]) ).
tcf(c_9055,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_9031,c_8047]) ).
tcf(c_9056,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_9050,c_2569]) ).
tcf(c_9057,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_9049,c_2614]) ).
tcf(c_9058,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_9048,c_3109]) ).
tcf(c_9062,plain,
multiply(sk_c4,identity) = sk_c4,
inference(light_normalisation,[status(thm)],[c_9044,c_3118]) ).
tcf(c_9063,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_9043,c_415]) ).
tcf(c_9065,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_9041,c_414]) ).
tcf(c_9091,plain,
( ( sk_c8 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c6 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_446,c_1791]) ).
tcf(c_9093,plain,
( ( sk_c8 = iPr_def_17 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c6 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_442,c_1791]) ).
tcf(c_9202,plain,
( ( sk_c8 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_446,c_1909]) ).
tcf(c_9203,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_444,c_1909]) ).
tcf(c_9204,plain,
( ( sk_c8 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_442,c_1909]) ).
tcf(c_9350,plain,
( ( sk_c8 = iPr_def_17 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_9204,c_4801,c_9204]) ).
tcf(c_9406,plain,
( ( sk_c8 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_434,c_2029]) ).
tcf(c_9407,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_432,c_2029]) ).
tcf(c_9408,plain,
( ( sk_c8 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_430,c_2029]) ).
tcf(c_9639,plain,
multiply(sk_c3,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_8159,c_84]) ).
tcf(c_9643,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_8159,c_8035]) ).
tcf(c_9644,plain,
multiply(sk_c3,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_8159,c_9031]) ).
tcf(c_9657,plain,
( ( identity = iPr_def_21 )
| ( sk_c6 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1335,c_9639]) ).
tcf(c_9658,plain,
( ( identity = iPr_def_21 )
| ( sk_c8 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1107,c_9639]) ).
tcf(c_9659,plain,
( ( identity = iPr_def_21 )
| ( sk_c7 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_879,c_9639]) ).
tcf(c_9660,plain,
( ( identity = iPr_def_21 )
| ( sk_c7 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_878,c_9639]) ).
tcf(c_9661,plain,
( ( identity = iPr_def_21 )
| ( sk_c8 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_877,c_9639]) ).
tcf(c_9680,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_9644,c_9031]) ).
tcf(c_9683,plain,
( ~ iPr_def_13
| ( multiply(iPr_def_20,sk_c3) != sk_c8 )
| ( multiply(inverse(iPr_def_20),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_9680,c_426]) ).
tcf(c_9685,plain,
( ~ iPr_def_13
| ( sk_c8 != identity )
| ( multiply(sk_c3,sk_c7) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_9683,c_927,c_9680]) ).
tcf(c_9695,plain,
multiply(sk_c3,sk_c4) = iPr_def_21,
inference(superposition,[status(thm)],[c_3118,c_9643]) ).
tcf(c_9903,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c8 = iPr_def_21 )
| ( sk_c7 != iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_1683,c_1683,c_4406,c_5164,c_9202,c_9406]) ).
tcf(c_9931,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c8 = iPr_def_21 )
| ( iPr_def_15 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_434,c_9903]) ).
tcf(c_10077,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_21 )
| ( sk_c7 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9657,c_425]) ).
tcf(c_10082,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9657,c_415]) ).
tcf(c_10186,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c6) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9658,c_415]) ).
tcf(c_10338,plain,
( ( identity = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9659,c_2029]) ).
tcf(c_10637,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9660,c_414]) ).
tcf(c_10771,plain,
( ( identity = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9661,c_1909]) ).
tcf(c_10810,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_9661,c_418]) ).
tcf(c_10812,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9661,c_414]) ).
tcf(c_11182,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_17)) != sk_c8 )
| ( multiply(sk_c5,sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_8160,c_428]) ).
tcf(c_11185,plain,
multiply(sk_c5,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_8160,c_84]) ).
tcf(c_11187,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_17)) != sk_c8 )
| ( multiply(sk_c5,sk_c8) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8160,c_427]) ).
tcf(c_11189,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_8160,c_8035]) ).
tcf(c_11190,plain,
multiply(sk_c5,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_8160,c_9031]) ).
tcf(c_11191,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_18 )
| ( inverse(inverse(iPr_def_17)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_11187,c_418]) ).
tcf(c_11205,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( identity = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_1446,c_11185]) ).
tcf(c_11224,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_11185,c_2467]) ).
tcf(c_11227,plain,
inverse(iPr_def_17) = sk_c5,
inference(demodulation,[status(thm)],[c_11190,c_9031]) ).
tcf(c_11239,plain,
multiply(sk_c5,sk_c8) = iPr_def_18,
inference(superposition,[status(thm)],[c_3109,c_11189]) ).
tcf(c_11256,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c8 = iPr_def_19 )
| ( sk_c7 != iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_1684,c_1684,c_4421,c_5026,c_9203,c_9407]) ).
tcf(c_11287,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c8 = iPr_def_19 )
| ( iPr_def_15 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_432,c_11256]) ).
tcf(c_11394,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c8 = iPr_def_17 )
| ( sk_c7 != iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_1686,c_1686,c_4436,c_4801,c_9204,c_9408]) ).
tcf(c_11422,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c8 = iPr_def_17 )
| ( iPr_def_15 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_436,c_11394]) ).
tcf(c_11580,plain,
( ~ iPr_def_12
| ( inverse(sk_c7) != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_1775,c_1791,c_1775,c_5508,c_5567]) ).
tcf(c_11600,plain,
( ( sk_c8 = iPr_def_23 )
| ~ iPr_def_12
| ( inverse(iPr_def_15) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_447,c_11580]) ).
tcf(c_11602,plain,
( ( sk_c8 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(iPr_def_22) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_440,c_11580]) ).
tcf(c_11603,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(iPr_def_22) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_438,c_11580]) ).
tcf(c_11604,plain,
( ( sk_c8 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(iPr_def_22) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_436,c_11580]) ).
tcf(c_11743,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_22 )
| ( multiply(iPr_def_18,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_11205,c_83]) ).
tcf(c_12004,plain,
multiply(sk_c1,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_8161,c_84]) ).
tcf(c_12008,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_8161,c_8035]) ).
tcf(c_12009,plain,
multiply(sk_c1,identity) = inverse(iPr_def_24),
inference(superposition,[status(thm)],[c_8161,c_9031]) ).
tcf(c_12058,plain,
( ( sk_c8 = iPr_def_23 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_11600,c_1791,c_3434,c_3502]) ).
tcf(c_12146,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(superposition,[status(thm)],[c_12004,c_2466]) ).
tcf(c_12246,plain,
inverse(iPr_def_24) = sk_c1,
inference(demodulation,[status(thm)],[c_12009,c_9031]) ).
tcf(c_12253,plain,
( ~ iPr_def_13
| ( multiply(iPr_def_24,sk_c1) != sk_c8 )
| ( multiply(inverse(iPr_def_24),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_12246,c_426]) ).
tcf(c_12263,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_23 )
| ( sk_c8 != identity ) ),
inference(light_normalisation,[status(thm)],[c_12253,c_423,c_929,c_12246]) ).
tcf(c_12267,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_929,c_12008]) ).
tcf(c_12374,plain,
multiply(sk_c2,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_8162,c_84]) ).
tcf(c_12375,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_22)) != sk_c7 )
| ( multiply(sk_c2,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_8162,c_429]) ).
tcf(c_12378,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_8162,c_8035]) ).
tcf(c_12379,plain,
multiply(sk_c2,identity) = inverse(iPr_def_22),
inference(superposition,[status(thm)],[c_8162,c_9031]) ).
tcf(c_12389,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_16 )
| ( inverse(inverse(iPr_def_22)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_12375,c_416]) ).
tcf(c_12761,plain,
( iPr_def_13
| iPr_def_12
| ( identity = iPr_def_21 )
| ( sk_c7 != iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_10077,c_9660,c_9658,c_10077,c_10338,c_10771]) ).
tcf(c_13006,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(superposition,[status(thm)],[c_12374,c_2465]) ).
tcf(c_13067,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9661,c_10637]) ).
tcf(c_13105,plain,
inverse(iPr_def_22) = sk_c2,
inference(demodulation,[status(thm)],[c_12379,c_9031]) ).
tcf(c_13107,plain,
( ( sk_c8 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c8 != sk_c2 ) ),
inference(demodulation,[status(thm)],[c_11604,c_13105]) ).
tcf(c_13108,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c8 != sk_c2 ) ),
inference(demodulation,[status(thm)],[c_11603,c_13105]) ).
tcf(c_13109,plain,
( ( sk_c8 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c8 != sk_c2 ) ),
inference(demodulation,[status(thm)],[c_11602,c_13105]) ).
tcf(c_13176,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_14) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_795,c_12378]) ).
tcf(c_13180,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm)],[c_930,c_12378]) ).
tcf(c_16560,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_14) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_1220,c_2711]) ).
tcf(c_16983,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = sk_c8,
inference(superposition,[status(thm)],[c_414,c_8049]) ).
tcf(c_16984,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_15)) = sk_c6,
inference(superposition,[status(thm)],[c_415,c_8049]) ).
tcf(c_16987,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_19)) = sk_c7,
inference(superposition,[status(thm)],[c_419,c_8049]) ).
tcf(c_17025,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_14)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10812,c_8049]) ).
tcf(c_17055,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = sk_c3,
inference(superposition,[status(thm)],[c_927,c_8049]) ).
tcf(c_17058,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = sk_c2,
inference(superposition,[status(thm)],[c_930,c_8049]) ).
tcf(c_17072,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_15)) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_10186,c_8049]) ).
tcf(c_17085,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_15)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10082,c_8049]) ).
tcf(c_17086,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_15)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1408,c_8049]) ).
tcf(c_17089,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_15)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1220,c_8049]) ).
tcf(c_17090,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,identity)) = iPr_def_17,
inference(superposition,[status(thm)],[c_11185,c_8049]) ).
tcf(c_17109,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,identity)) = iPr_def_24,
inference(superposition,[status(thm)],[c_12004,c_8049]) ).
tcf(c_17110,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,identity)) = iPr_def_22,
inference(superposition,[status(thm)],[c_12374,c_8049]) ).
tcf(c_17129,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,sk_c7)) = iPr_def_23,
inference(superposition,[status(thm)],[c_2614,c_8049]) ).
tcf(c_17165,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_15)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5337,c_8049]) ).
tcf(c_17166,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_15)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5044,c_8049]) ).
tcf(c_17216,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_17110,c_9031]) ).
tcf(c_17217,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),X0) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_17109,c_9031]) ).
tcf(c_17218,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),X0) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_17090,c_9031]) ).
tcf(c_17219,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_22)),X0) = sk_c2,
inference(light_normalisation,[status(thm)],[c_17058,c_9031]) ).
tcf(c_17222,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_20)),X0) = sk_c3,
inference(light_normalisation,[status(thm)],[c_17055,c_9031]) ).
tcf(c_19834,plain,
multiply(inverse(multiply(inverse(iPr_def_14),sk_c7)),identity) = sk_c8,
inference(superposition,[status(thm)],[c_84,c_16983]) ).
tcf(c_20225,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c2))),multiply(X0,X1)) = iPr_def_22,
inference(superposition,[status(thm)],[c_85,c_17216]) ).
tcf(c_20226,plain,
multiply(inverse(identity),iPr_def_22) = iPr_def_22,
inference(superposition,[status(thm)],[c_930,c_17216]) ).
tcf(c_20242,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_22 )
| ( inverse(inverse(multiply(sk_c6,sk_c2))) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_17216,c_429]) ).
tcf(c_20247,plain,
multiply(identity,iPr_def_22) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_20226,c_9055]) ).
tcf(c_20389,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c1))),multiply(X0,X1)) = iPr_def_24,
inference(superposition,[status(thm)],[c_85,c_17217]) ).
tcf(c_20723,plain,
inverse(multiply(inverse(iPr_def_14),sk_c7)) = sk_c8,
inference(demodulation,[status(thm)],[c_19834,c_9031]) ).
tcf(c_20750,plain,
multiply(sk_c8,multiply(inverse(iPr_def_14),sk_c7)) = identity,
inference(superposition,[status(thm)],[c_20723,c_84]) ).
tcf(c_20875,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),sk_c7)) = identity ) ),
inference(superposition,[status(thm)],[c_448,c_20750]) ).
tcf(c_20878,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),sk_c7)) = identity ) ),
inference(superposition,[status(thm)],[c_442,c_20750]) ).
tcf(c_21107,plain,
multiply(inverse(identity),multiply(inverse(sk_c8),iPr_def_15)) = sk_c6,
inference(superposition,[status(thm)],[c_84,c_16984]) ).
tcf(c_21149,plain,
multiply(inverse(multiply(inverse(iPr_def_15),sk_c8)),identity) = sk_c6,
inference(superposition,[status(thm)],[c_84,c_16984]) ).
tcf(c_21163,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c8)),iPr_def_19) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_5128,c_16984]) ).
tcf(c_21164,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c8)),iPr_def_19) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_3845,c_16984]) ).
tcf(c_21189,plain,
multiply(identity,sk_c6) = sk_c6,
inference(light_normalisation,[status(thm)],[c_21107,c_8041,c_9055]) ).
tcf(c_21683,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c5))),multiply(X0,X1)) = iPr_def_17,
inference(superposition,[status(thm)],[c_85,c_17218]) ).
tcf(c_21693,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_17 )
| ( inverse(inverse(multiply(sk_c7,sk_c5))) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_17218,c_428]) ).
tcf(c_21707,plain,
multiply(inverse(iPr_def_17),inverse(multiply(sk_c2,sk_c5))) = iPr_def_22,
inference(superposition,[status(thm)],[c_17218,c_17216]) ).
tcf(c_21710,plain,
multiply(sk_c5,inverse(multiply(sk_c2,sk_c5))) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_21707,c_11227]) ).
tcf(c_22002,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,iPr_def_22))),multiply(X0,X1)) = sk_c2,
inference(superposition,[status(thm)],[c_85,c_17219]) ).
tcf(c_22576,plain,
inverse(multiply(inverse(iPr_def_15),sk_c8)) = sk_c6,
inference(demodulation,[status(thm)],[c_21149,c_9031]) ).
tcf(c_22599,plain,
multiply(sk_c6,multiply(inverse(iPr_def_15),sk_c8)) = identity,
inference(superposition,[status(thm)],[c_22576,c_84]) ).
tcf(c_22697,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_15),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_458,c_22599]) ).
tcf(c_22698,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_15),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_456,c_22599]) ).
tcf(c_22700,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_15),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_454,c_22599]) ).
tcf(c_22724,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c6,multiply(inverse(iPr_def_15),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_442,c_22599]) ).
tcf(c_22729,plain,
multiply(inverse(multiply(sk_c6,inverse(iPr_def_15))),identity) = sk_c8,
inference(superposition,[status(thm)],[c_22599,c_8049]) ).
tcf(c_22730,plain,
multiply(iPr_def_16,multiply(inverse(iPr_def_15),sk_c8)) = multiply(sk_c2,identity),
inference(superposition,[status(thm)],[c_22599,c_2452]) ).
tcf(c_22731,plain,
multiply(iPr_def_15,multiply(inverse(iPr_def_15),sk_c8)) = multiply(sk_c8,identity),
inference(superposition,[status(thm)],[c_22599,c_2447]) ).
tcf(c_23559,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c8 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_436,c_430]) ).
tcf(c_23764,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( multiply(iPr_def_17,sk_c6) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_23559,c_415]) ).
tcf(c_24168,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(superposition,[status(thm)],[c_417,c_84]) ).
tcf(c_24543,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_24168,c_85]) ).
tcf(c_24544,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_24543,c_83]) ).
tcf(c_25121,plain,
multiply(iPr_def_17,iPr_def_18) = sk_c8,
inference(superposition,[status(thm)],[c_418,c_24544]) ).
tcf(c_25144,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_437,c_23764]) ).
tcf(c_25145,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_431,c_23764]) ).
tcf(c_25150,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_25145,c_25121]) ).
tcf(c_25154,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_25144,c_25121]) ).
tcf(c_27094,plain,
multiply(inverse(identity),multiply(inverse(sk_c4),iPr_def_19)) = sk_c7,
inference(superposition,[status(thm)],[c_84,c_16987]) ).
tcf(c_27117,plain,
multiply(inverse(multiply(inverse(iPr_def_19),sk_c4)),identity) = sk_c7,
inference(superposition,[status(thm)],[c_84,c_16987]) ).
tcf(c_27142,plain,
multiply(identity,sk_c7) = sk_c7,
inference(light_normalisation,[status(thm)],[c_27094,c_8043,c_9055]) ).
tcf(c_27321,plain,
inverse(multiply(inverse(iPr_def_19),sk_c4)) = sk_c7,
inference(demodulation,[status(thm)],[c_27117,c_9031]) ).
tcf(c_27334,plain,
multiply(sk_c7,multiply(inverse(iPr_def_19),sk_c4)) = identity,
inference(superposition,[status(thm)],[c_27321,c_84]) ).
tcf(c_27368,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,iPr_def_20))),multiply(X0,X1)) = sk_c3,
inference(superposition,[status(thm)],[c_85,c_17222]) ).
tcf(c_27399,plain,
multiply(inverse(sk_c3),inverse(multiply(sk_c5,iPr_def_20))) = iPr_def_17,
inference(superposition,[status(thm)],[c_17222,c_17218]) ).
tcf(c_27408,plain,
multiply(iPr_def_20,inverse(multiply(sk_c5,iPr_def_20))) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_27399,c_420]) ).
tcf(c_28153,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_430,c_20875]) ).
tcf(c_28334,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_19),sk_c4)) = identity ) ),
inference(superposition,[status(thm)],[c_436,c_27334]) ).
tcf(c_28354,plain,
multiply(iPr_def_23,multiply(inverse(iPr_def_19),sk_c4)) = multiply(sk_c1,identity),
inference(superposition,[status(thm)],[c_27334,c_2451]) ).
tcf(c_28883,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),iPr_def_22)) = identity ) ),
inference(superposition,[status(thm)],[c_436,c_20878]) ).
tcf(c_28887,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),iPr_def_16)) = identity ) ),
inference(superposition,[status(thm)],[c_430,c_20878]) ).
tcf(c_29749,plain,
inverse(multiply(sk_c2,sk_c5)) = multiply(iPr_def_17,iPr_def_22),
inference(superposition,[status(thm)],[c_21710,c_2467]) ).
tcf(c_29752,plain,
multiply(sk_c5,multiply(iPr_def_17,iPr_def_22)) = iPr_def_22,
inference(demodulation,[status(thm)],[c_21710,c_29749]) ).
tcf(c_30312,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_15),iPr_def_24)) = identity ) ),
inference(superposition,[status(thm)],[c_452,c_22697]) ).
tcf(c_30315,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_15),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_446,c_22697]) ).
tcf(c_30385,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_15),iPr_def_24)) = identity ) ),
inference(superposition,[status(thm)],[c_450,c_22698]) ).
tcf(c_30388,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_15),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_444,c_22698]) ).
tcf(c_30450,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_14) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_1220,c_2908]) ).
tcf(c_30674,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c4,multiply(iPr_def_22,sk_c2))),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_847,c_20225]) ).
tcf(c_31139,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c4,identity)),iPr_def_19) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_30674,c_930]) ).
tcf(c_32995,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_15),iPr_def_24)) = identity ) ),
inference(superposition,[status(thm)],[c_448,c_22700]) ).
tcf(c_32998,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_15),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_442,c_22700]) ).
tcf(c_33877,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_24,sk_c1))),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3319,c_20389]) ).
tcf(c_33878,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_24,sk_c1))),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_3284,c_20389]) ).
tcf(c_33879,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(iPr_def_24,sk_c1))),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2707,c_20389]) ).
tcf(c_34098,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_22,identity)),iPr_def_14) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_33879,c_929]) ).
tcf(c_34101,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_22,identity)),iPr_def_14) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_33878,c_929]) ).
tcf(c_34104,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_22,identity)),iPr_def_14) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_33877,c_929]) ).
tcf(c_35541,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c6,inverse(iPr_def_15))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_22724,c_8049]) ).
tcf(c_36265,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),iPr_def_16) = multiply(sk_c1,identity) ) ),
inference(superposition,[status(thm)],[c_28153,c_12008]) ).
tcf(c_36609,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(inverse(iPr_def_19),sk_c4) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_28334,c_12378]) ).
tcf(c_36871,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_25154,c_25150]) ).
tcf(c_37138,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(sk_c8,sk_c5))),iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_795,c_21683]) ).
tcf(c_41620,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(sk_c8,iPr_def_22))),iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_778,c_22002]) ).
tcf(c_41621,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_22,multiply(sk_c8,iPr_def_22))),iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_754,c_22002]) ).
tcf(c_41634,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_18,iPr_def_22))),iPr_def_16) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_1060,c_22002]) ).
tcf(c_41635,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c2,multiply(iPr_def_18,iPr_def_22))),iPr_def_16) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_821,c_22002]) ).
tcf(c_44726,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_14))),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28883,c_8049]) ).
tcf(c_44770,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_14))),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_28887,c_8049]) ).
tcf(c_44771,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c7,multiply(inverse(iPr_def_14),iPr_def_16)) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_28887,c_2617]) ).
tcf(c_44834,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_14,inverse(iPr_def_15))),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30312,c_8049]) ).
tcf(c_44871,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_14,inverse(iPr_def_15))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30315,c_8049]) ).
tcf(c_44929,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_14,inverse(iPr_def_15))),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_30385,c_8049]) ).
tcf(c_44966,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_14,inverse(iPr_def_15))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_30388,c_8049]) ).
tcf(c_45040,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,inverse(iPr_def_15))),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32995,c_8049]) ).
tcf(c_45095,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,inverse(iPr_def_15))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_32998,c_8049]) ).
tcf(c_45428,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2930,c_3109]) ).
tcf(c_45513,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_45428,c_435]) ).
tcf(c_45632,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_45513,c_36871]) ).
tcf(c_45741,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_45632,c_418]) ).
tcf(c_45755,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( multiply(iPr_def_18,sk_c6) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_45741,c_7633]) ).
tcf(c_46773,plain,
( ( iPr_def_16 = iPr_def_22 )
| ( sk_c6 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_45755,c_11743]) ).
tcf(c_55347,plain,
inverse(multiply(sk_c5,iPr_def_20)) = multiply(sk_c3,iPr_def_17),
inference(superposition,[status(thm)],[c_27408,c_9643]) ).
tcf(c_55350,plain,
multiply(iPr_def_20,multiply(sk_c3,iPr_def_17)) = iPr_def_17,
inference(demodulation,[status(thm)],[c_27408,c_55347]) ).
tcf(c_60010,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_20)),multiply(sk_c2,iPr_def_18)) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_3099,c_27368]) ).
tcf(c_61758,plain,
( ( sk_c6 != iPr_def_18 )
| ( iPr_def_17 != iPr_def_23 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_9091,c_1791,c_9093]) ).
tcf(c_61759,plain,
( ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 )
| ( sk_c6 != iPr_def_18 ) ),
inference(renaming,[status(thm)],[c_61758]) ).
tcf(c_61766,plain,
( ( iPr_def_16 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_17 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_46773,c_61759]) ).
tcf(c_62740,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_17 )
| ( multiply(sk_c5,sk_c7) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_11182,c_417,c_11227]) ).
tcf(c_62744,plain,
( ~ iPr_def_11
| ( multiply(sk_c5,sk_c7) != sk_c8 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62740,c_9350]) ).
tcf(c_62768,plain,
( ( sk_c8 = iPr_def_23 )
| ~ iPr_def_11
| ( multiply(sk_c5,iPr_def_15) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_447,c_62744]) ).
tcf(c_62783,plain,
( ( sk_c8 = iPr_def_23 )
| ~ iPr_def_11
| ( multiply(iPr_def_18,sk_c6) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_62768,c_7633]) ).
tcf(c_65341,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_14,identity) = multiply(iPr_def_22,sk_c8) ) ),
inference(superposition,[status(thm)],[c_9031,c_3289]) ).
tcf(c_65784,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_14,identity) = multiply(iPr_def_22,sk_c8) ) ),
inference(superposition,[status(thm)],[c_9031,c_3325]) ).
tcf(c_68051,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_62783,c_62744,c_61766,c_65341,c_60010,c_65784,c_55350,c_46773,c_45095,c_45040,c_44966,c_44929,c_44871,c_44834,c_44771,c_44770,c_44726,c_41635,c_41634,c_41621,c_41620,c_37138,c_36609,c_36265,c_35541,c_34104,c_34101,c_34098,c_31139,c_30450,c_29752,c_28354,c_22731,c_22730,c_22729,c_21693,c_21164,c_21163,c_20247,c_20242,c_17166,c_17165,c_17129,c_17089,c_17086,c_17085,c_17072,c_17025,c_16984,c_16983,c_16560,c_13180,c_13176,c_13109,c_13108,c_13107,c_13105,c_13067,c_13006,c_12761,c_12389,c_12374,c_12267,c_12263,c_12246,c_12146,c_12058,c_11580,c_11422,c_27142,c_11287,c_11256,c_11239,c_11227,c_11224,c_11191,c_11185,c_10810,c_9931,c_9903,c_9695,c_9685,c_9680,c_9661,c_9644,c_9639,c_9065,c_9063,c_9062,c_9058,c_9057,c_9056,c_9050,c_9049,c_9048,c_9044,c_9043,c_9041,c_9055,c_8043,c_8041,c_7981,c_7978,c_7885,c_7884,c_7633,c_7389,c_7168,c_5412,c_4602,c_4503,c_3647,c_3434,c_2149,c_2013,c_1909,c_1791,c_1407,c_1219,c_1040,c_930,c_929,c_928,c_21189,c_435,c_434,c_433,c_432,c_431,c_430,c_425,c_422,c_420,c_417]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP342-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.59 % Computer : n004.cluster.edu
% 0.11/5.59 % Model : x86_64 x86_64
% 0.11/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.59 % Memory : 8046.5625MB
% 0.11/5.59 % OS : Linux 6.8.0-71-generic
% 0.11/5.59 % CPULimit : 300
% 0.11/5.59 % WCLimit : 300
% 0.11/5.59 % DateTime : Wed Sep 23 14:31:26 UTC 2026
% 0.11/5.60 % CPUTime :
% 0.11/5.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.63 Running first-order theorem proving
% 0.14/5.64 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.65
% 0.14/5.65 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.65
% 0.14/5.65 % Detected problem language: tptp
% 0.14/5.66 % Proving...
% 20.04/9.96 % SZS status Started for theBenchmark.p
% 20.04/9.96 % SZS status Unsatisfiable for theBenchmark.p
% 20.04/9.96
% 20.04/9.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 20.04/9.96
% 20.04/9.96 % ------ iProver source info
% 20.04/9.96
% 20.04/9.96 % git: date: 2026-07-19 20:42:38 +0200
% 20.04/9.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 20.04/9.96 % git: non_committed_changes: false
% 20.04/9.96
% 20.04/9.96 % ------ Parsing...% successful
% 20.04/9.96
% 20.04/9.96
% 20.04/9.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 20.04/9.96
% 20.04/9.96 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 20.04/9.96
% 20.04/9.96 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 20.04/9.96
% 20.04/9.96 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 20.04/9.96 % ------ Proving...
% 20.04/9.96 % ------ Problem Properties
% 20.04/9.96
% 20.04/9.96 %
% 20.04/9.96 % clauses 49
% 20.04/9.96 % conjectures 35
% 20.04/9.96 % EPR 31
% 20.04/9.96 % Horn 18
% 20.04/9.96 % unary 14
% 20.04/9.96 % binary 30
% 20.04/9.96 % lits 92
% 20.04/9.96 % lits eq 84
% 20.04/9.96 % fd_pure 0
% 20.04/9.96 % fd_pseudo 0
% 20.04/9.96 % fd_cond 0
% 20.04/9.96 % fd_pseudo_cond 0
% 20.04/9.96 % AC symbols 0
% 20.04/9.96
% 20.04/9.96 % ------ Schedule dynamic 5 is on
% 20.04/9.96
% 20.04/9.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 20.04/9.96
% 20.04/9.96
% 20.04/9.96 % ------
% 20.04/9.96 % Current options:
% 20.04/9.96 % ------
% 20.04/9.96
% 20.04/9.96
% 20.04/9.96 %
% 20.04/9.96
% 20.04/9.96 % ------ Proving...
% 20.04/9.96 %
% 20.04/9.96
% 20.04/9.96 % SZS status Unsatisfiable for theBenchmark.p
% 20.04/9.96
% 20.04/9.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.04/9.98
% 20.04/9.98
%------------------------------------------------------------------------------