%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP235-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 01:32:04 PM UTC 2026
% Result : Unsatisfiable 18.62s 3.34s
% Output : CNFRefutation 18.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 45
% Syntax : Number of formulae : 421 ( 131 unt; 11 def)
% Number of atoms : 1490 ( 780 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 658 ( 220 ~; 438 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn 113 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f17]) ).
fof(f23,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
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/sandbox/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_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c2,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c2,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c3,sk_c8) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X5) != sk_c8
| multiply(X5,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| inverse(X1) != X2
| multiply(X1,X2) != sk_c7
| multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c8
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X2,sk_c8)
| inverse(X1) != X2
| multiply(X1,X2) != sk_c7
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X3,X0,X1,X4,X5] :
( sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(inverse(X1),sk_c8)
| sk_c7 != multiply(X1,inverse(X1))
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f66]) ).
fof(f68,plain,
! [X3,X0,X1,X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(inverse(X1),sk_c8)
| sk_c7 != multiply(X1,inverse(X1))
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f67]) ).
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,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_97,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = 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_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_103,negated_conjecture,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_104,negated_conjecture,
( ( multiply(sk_c2,sk_c3) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( multiply(sk_c3,sk_c8) = 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_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c8) != sk_c7 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 )
| ( multiply(inverse(X3),sk_c8) != sk_c7 )
| ( multiply(X3,inverse(X3)) != sk_c7 )
| ( multiply(sk_c8,multiply(X2,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_405,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_406,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(inverse(X0),sk_c8) != sk_c7 )
| ( multiply(X0,inverse(X0)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_408,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_409,definition,
iPr_def_13 = inverse(sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_410,definition,
iPr_def_14 = multiply(sk_c3,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_411,definition,
iPr_def_15 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_412,definition,
iPr_def_16 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_413,definition,
iPr_def_17 = multiply(sk_c8,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_414,definition,
iPr_def_18 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_415,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_416,definition,
iPr_def_20 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_417,definition,
iPr_def_21 = multiply(sk_c2,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_418,definition,
iPr_def_22 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_419,definition,
iPr_def_23 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_420,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_408,c_409]) ).
tcf(c_421,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_407]) ).
tcf(c_423,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(inverse(X0),sk_c8) != sk_c7 )
| ( multiply(X0,inverse(X0)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_406]) ).
tcf(c_424,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_405]) ).
tcf(c_425,negated_conjecture,
( ( iPr_def_15 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_115,c_411,c_410]) ).
tcf(c_426,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_114,c_412]) ).
tcf(c_427,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_113,c_413]) ).
tcf(c_428,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_112,c_414]) ).
tcf(c_429,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111,c_415]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_20 = sk_c3 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_110,c_416]) ).
tcf(c_431,negated_conjecture,
( ( iPr_def_20 = sk_c3 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_432,negated_conjecture,
( ( iPr_def_20 = sk_c3 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_433,negated_conjecture,
( ( iPr_def_20 = sk_c3 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_20 = sk_c3 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_105,c_417]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_100,c_418]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_95,c_419]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_15 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_455,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_461,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_665,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_15 )
| ( iPr_def_13 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_425,c_420]) ).
tcf(c_681,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_14 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_427,c_420]) ).
tcf(c_696,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 )
| ( iPr_def_13 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_428,c_420]) ).
tcf(c_711,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_19 )
| ( iPr_def_13 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_429,c_420]) ).
tcf(c_731,plain,
( ( sk_c3 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_431,c_413]) ).
tcf(c_748,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_20,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_433,c_410]) ).
tcf(c_791,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_436,c_413]) ).
tcf(c_877,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_429,c_414]) ).
tcf(c_880,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_425,c_414]) ).
tcf(c_897,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_434,c_417]) ).
tcf(c_898,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_433,c_417]) ).
tcf(c_899,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_432,c_417]) ).
tcf(c_900,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_430,c_417]) ).
tcf(c_909,plain,
! [X0: $i] :
( ( iPr_def_13 = sk_c7 )
| ( iPr_def_13 != X0 )
| ( sk_c7 != X0 ) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_936,plain,
! [X0: $i,X1: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_937,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != sk_c7 )
| ( X0 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_936]) ).
tcf(c_938,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_946,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_947,plain,
( ( sk_c8 = sk_c7 )
| ( sk_c7 != sk_c8 )
| ( sk_c8 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_946]) ).
tcf(c_948,plain,
( ( sk_c7 = iPr_def_17 )
| ( iPr_def_17 != sk_c7 )
| ( sk_c7 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_937]) ).
tcf(c_950,plain,
multiply(iPr_def_13,sk_c8) = identity,
inference(superposition,[status(thm)],[c_409,c_84]) ).
tcf(c_951,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_415,c_84]) ).
tcf(c_952,plain,
multiply(iPr_def_15,sk_c5) = identity,
inference(superposition,[status(thm)],[c_411,c_84]) ).
tcf(c_953,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_419,c_84]) ).
tcf(c_954,plain,
multiply(iPr_def_20,sk_c2) = identity,
inference(superposition,[status(thm)],[c_416,c_84]) ).
tcf(c_956,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != iPr_def_17 )
| ( X0 != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_936]) ).
tcf(c_963,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_440,c_412]) ).
tcf(c_983,plain,
! [X0: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != iPr_def_17 )
| ( X0 != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_946]) ).
tcf(c_1015,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_22 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_442,c_420]) ).
tcf(c_1068,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_443,c_412]) ).
tcf(c_1097,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_444,c_412]) ).
tcf(c_1134,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_445,c_412]) ).
tcf(c_1161,plain,
iPr_def_13 = iPr_def_13,
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_1162,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_13 = X0 )
| ( iPr_def_13 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1250,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_448,c_412]) ).
tcf(c_1292,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_449,c_412]) ).
tcf(c_1342,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c7 = iPr_def_17 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_450,c_437]) ).
tcf(c_1343,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_450,c_435]) ).
tcf(c_1347,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_450,c_425]) ).
tcf(c_1395,plain,
( ( sk_c7 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_451,c_413]) ).
tcf(c_1421,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_452,c_420]) ).
tcf(c_1499,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_453,c_438]) ).
tcf(c_1503,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_453,c_428]) ).
tcf(c_1506,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_453,c_420]) ).
tcf(c_1626,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_454,c_439]) ).
tcf(c_1630,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_454,c_429]) ).
tcf(c_1634,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_454,c_420]) ).
tcf(c_1667,plain,
! [X0: $i] :
( ( iPr_def_13 = X0 )
| ( iPr_def_13 != sk_c7 )
| ( X0 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_1162]) ).
tcf(c_1699,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_18 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_414,c_424]) ).
tcf(c_1700,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_22 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_418,c_424]) ).
tcf(c_1720,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_23 )
| ( sk_c8 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_1700,c_419]) ).
tcf(c_1724,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_19 )
| ( sk_c8 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_1699,c_415]) ).
tcf(c_1885,plain,
( ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(sk_c8,iPr_def_16) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_412,c_421]) ).
tcf(c_1905,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_15 )
| ( multiply(sk_c8,iPr_def_16) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1885,c_411]) ).
tcf(c_1975,plain,
( ~ iPr_def_11
| ( inverse(identity) != sk_c7 )
| ( multiply(inverse(identity),sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_83,c_423]) ).
tcf(c_1978,plain,
( ~ iPr_def_11
| ( multiply(sk_c5,iPr_def_15) != sk_c7 )
| ( multiply(inverse(sk_c5),sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_411,c_423]) ).
tcf(c_1992,plain,
( ~ iPr_def_11
| ( multiply(iPr_def_15,sk_c8) != sk_c7 )
| ( multiply(sk_c5,iPr_def_15) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1978,c_411]) ).
tcf(c_2156,plain,
( ( iPr_def_13 = sk_c7 )
| ( iPr_def_13 != iPr_def_14 )
| ( sk_c7 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_909]) ).
tcf(c_2210,plain,
! [X0: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != iPr_def_21 )
| ( X0 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_946]) ).
tcf(c_2211,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != iPr_def_21 )
| ( X0 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_936]) ).
tcf(c_2212,plain,
( ( sk_c7 = sk_c8 )
| ( sk_c7 != iPr_def_21 )
| ( sk_c8 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_2211]) ).
tcf(c_2418,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_414,c_85]) ).
tcf(c_2420,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_412,c_85]) ).
tcf(c_2422,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c3,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_417,c_85]) ).
tcf(c_2423,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_410,c_85]) ).
tcf(c_2425,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2427,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_950,c_85]) ).
tcf(c_2428,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_951,c_85]) ).
tcf(c_2429,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_952,c_85]) ).
tcf(c_2430,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_953,c_85]) ).
tcf(c_2431,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_954,c_85]) ).
tcf(c_2436,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2431,c_83]) ).
tcf(c_2437,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2430,c_83]) ).
tcf(c_2438,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2429,c_83]) ).
tcf(c_2439,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2428,c_83]) ).
tcf(c_2440,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2427,c_83]) ).
tcf(c_2900,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( multiply(iPr_def_18,sk_c6) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1499,c_413]) ).
tcf(c_3043,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( inverse(iPr_def_19) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1626,c_409]) ).
tcf(c_3354,plain,
( ( iPr_def_13 = sk_c7 )
| ( iPr_def_13 != iPr_def_13 )
| ( sk_c7 != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_909]) ).
tcf(c_3361,plain,
multiply(iPr_def_23,iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_418,c_2437]) ).
tcf(c_3364,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_22,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3361,c_85]) ).
tcf(c_3389,plain,
multiply(iPr_def_15,iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_412,c_2438]) ).
tcf(c_3401,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c3 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1343,c_731]) ).
tcf(c_3455,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c3 = iPr_def_20 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3401,c_3389]) ).
tcf(c_3590,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( iPr_def_21 != sk_c7 )
| ( iPr_def_13 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_1667]) ).
tcf(c_3831,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_443,c_748]) ).
tcf(c_3895,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1343,c_791]) ).
tcf(c_3949,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c7 = iPr_def_21 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3895,c_3389]) ).
tcf(c_4088,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3389,c_85]) ).
tcf(c_4090,plain,
multiply(iPr_def_19,iPr_def_18) = sk_c7,
inference(superposition,[status(thm)],[c_414,c_2439]) ).
tcf(c_4099,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4090,c_85]) ).
tcf(c_4101,plain,
multiply(iPr_def_13,iPr_def_17) = sk_c6,
inference(superposition,[status(thm)],[c_413,c_2440]) ).
tcf(c_4411,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_877,c_2439]) ).
tcf(c_4412,plain,
( ( sk_c7 = iPr_def_14 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_4411,c_4090]) ).
tcf(c_4458,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_880,c_2439]) ).
tcf(c_4459,plain,
( ( sk_c7 = iPr_def_14 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4458,c_4090]) ).
tcf(c_5127,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_963,c_2438]) ).
tcf(c_5128,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5127,c_3389]) ).
tcf(c_5508,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1068,c_2438]) ).
tcf(c_5509,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5508,c_3389]) ).
tcf(c_5588,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1097,c_2438]) ).
tcf(c_5589,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5588,c_3389]) ).
tcf(c_5649,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1134,c_2438]) ).
tcf(c_5650,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5649,c_3389]) ).
tcf(c_5900,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1250,c_2438]) ).
tcf(c_5901,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5900,c_3389]) ).
tcf(c_5975,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1292,c_2438]) ).
tcf(c_5976,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5975,c_3389]) ).
tcf(c_6166,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c7 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1343,c_1395]) ).
tcf(c_6206,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c7 = iPr_def_13 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6166,c_3389]) ).
tcf(c_6275,plain,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_21 != iPr_def_21 )
| ( sk_c7 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_2210]) ).
tcf(c_6276,plain,
iPr_def_21 = iPr_def_21,
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_6686,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c8 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_665,c_420,c_1347,c_1720,c_2156,c_4459,c_5128,c_5650]) ).
tcf(c_6694,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_681,c_420,c_1161,c_1421,c_3354]) ).
tcf(c_6937,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c8 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_696,c_696,c_1503,c_1720,c_5509,c_5901]) ).
tcf(c_6945,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c8 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_711,c_420,c_1630,c_1720,c_2156,c_4412,c_5589,c_5976]) ).
tcf(c_7249,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 != iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_1015,c_1724,c_6694,c_6937,c_6945]) ).
tcf(c_7369,plain,
multiply(sk_c5,iPr_def_17) = multiply(iPr_def_16,sk_c6),
inference(superposition,[status(thm)],[c_413,c_2420]) ).
tcf(c_7584,plain,
multiply(sk_c2,iPr_def_14) = multiply(iPr_def_21,sk_c8),
inference(superposition,[status(thm)],[c_410,c_2422]) ).
tcf(c_7691,plain,
multiply(sk_c3,iPr_def_17) = multiply(iPr_def_14,sk_c6),
inference(superposition,[status(thm)],[c_413,c_2423]) ).
tcf(c_7879,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c7 = iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_1342,c_437,c_452,c_938,c_948,c_3590]) ).
tcf(c_7922,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_7879,c_414]) ).
tcf(c_8905,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2425,c_83]) ).
tcf(c_8934,plain,
multiply(inverse(sk_c3),iPr_def_14) = sk_c8,
inference(superposition,[status(thm)],[c_410,c_8905]) ).
tcf(c_8935,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_8905]) ).
tcf(c_8936,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_8905]) ).
tcf(c_8937,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_8905]) ).
tcf(c_9066,plain,
! [X0: $i] : multiply(inverse(iPr_def_13),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2440,c_8905]) ).
tcf(c_9067,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2439,c_8905]) ).
tcf(c_9068,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2438,c_8905]) ).
tcf(c_9070,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2436,c_8905]) ).
tcf(c_9075,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(inverse(iPr_def_20),iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3831,c_8905]) ).
tcf(c_9098,plain,
multiply(inverse(sk_c3),multiply(iPr_def_14,sk_c6)) = iPr_def_17,
inference(superposition,[status(thm)],[c_7691,c_8905]) ).
tcf(c_9102,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_8905,c_8905]) ).
tcf(c_9753,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_8936,c_9102]) ).
tcf(c_9761,plain,
multiply(sk_c7,identity) = multiply(iPr_def_19,iPr_def_18),
inference(superposition,[status(thm)],[c_9753,c_4099]) ).
tcf(c_9766,plain,
multiply(sk_c8,identity) = multiply(iPr_def_15,iPr_def_16),
inference(superposition,[status(thm)],[c_9753,c_4088]) ).
tcf(c_9767,plain,
multiply(sk_c3,sk_c8) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_9753,c_2423]) ).
tcf(c_9773,plain,
multiply(sk_c7,identity) = multiply(iPr_def_23,iPr_def_22),
inference(superposition,[status(thm)],[c_9753,c_3364]) ).
tcf(c_9783,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_9753,c_8935]) ).
tcf(c_9786,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_9773,c_3361]) ).
tcf(c_9788,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_9767,c_410]) ).
tcf(c_10100,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_1720,c_1724,c_1720,c_5509,c_5589]) ).
tcf(c_10102,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_10100,c_1724,c_5901,c_5976,c_10100]) ).
tcf(c_10104,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c7 != iPr_def_13 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_420,c_10102]) ).
tcf(c_10134,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c8 = iPr_def_22 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_442,c_10104]) ).
tcf(c_10451,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_18)) = sk_c7,
inference(superposition,[status(thm)],[c_414,c_8937]) ).
tcf(c_10454,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_22)) = sk_c7,
inference(superposition,[status(thm)],[c_418,c_8937]) ).
tcf(c_10455,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_21)) = sk_c3,
inference(superposition,[status(thm)],[c_417,c_8937]) ).
tcf(c_10498,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = sk_c8,
inference(superposition,[status(thm)],[c_950,c_8937]) ).
tcf(c_10502,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = sk_c2,
inference(superposition,[status(thm)],[c_954,c_8937]) ).
tcf(c_10639,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_20)),X0) = sk_c2,
inference(light_normalisation,[status(thm)],[c_10502,c_9753]) ).
tcf(c_10643,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_13)),X0) = sk_c8,
inference(light_normalisation,[status(thm)],[c_10498,c_9753]) ).
tcf(c_12675,plain,
multiply(sk_c8,iPr_def_13) = identity,
inference(superposition,[status(thm)],[c_9066,c_84]) ).
tcf(c_12679,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_13,X0)) = X0,
inference(superposition,[status(thm)],[c_9066,c_8905]) ).
tcf(c_12680,plain,
multiply(sk_c8,identity) = inverse(iPr_def_13),
inference(superposition,[status(thm)],[c_9066,c_9753]) ).
tcf(c_12726,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,identity)) = iPr_def_13,
inference(superposition,[status(thm)],[c_12675,c_8937]) ).
tcf(c_12731,plain,
multiply(sk_c3,identity) = multiply(iPr_def_14,iPr_def_13),
inference(superposition,[status(thm)],[c_12675,c_2423]) ).
tcf(c_12732,plain,
multiply(sk_c5,identity) = multiply(iPr_def_16,iPr_def_13),
inference(superposition,[status(thm)],[c_12675,c_2420]) ).
tcf(c_12773,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),X0) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_12726,c_9753]) ).
tcf(c_12837,plain,
inverse(iPr_def_13) = sk_c8,
inference(demodulation,[status(thm)],[c_12680,c_9753]) ).
tcf(c_13191,plain,
multiply(inverse(multiply(iPr_def_19,sk_c4)),sk_c7) = sk_c7,
inference(superposition,[status(thm)],[c_4090,c_10451]) ).
tcf(c_13198,plain,
multiply(identity,sk_c7) = sk_c7,
inference(light_normalisation,[status(thm)],[c_13191,c_951,c_9783]) ).
tcf(c_13341,plain,
multiply(sk_c8,sk_c6) = iPr_def_17,
inference(superposition,[status(thm)],[c_4101,c_12679]) ).
tcf(c_13355,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 )
| ( inverse(iPr_def_13) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_12679,c_421]) ).
tcf(c_13433,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 ) ),
inference(ground_joinability,[status(thm)],[c_13355,c_12837]) ).
tcf(c_13653,plain,
( ( iPr_def_13 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7879,c_13433]) ).
tcf(c_13676,plain,
( ( sk_c7 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_437,c_13433]) ).
tcf(c_13677,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_435,c_13433]) ).
tcf(c_13778,plain,
multiply(iPr_def_14,iPr_def_13) = sk_c3,
inference(demodulation,[status(thm)],[c_12731,c_9753]) ).
tcf(c_13781,plain,
multiply(inverse(iPr_def_14),sk_c3) = iPr_def_13,
inference(superposition,[status(thm)],[c_13778,c_8905]) ).
tcf(c_15001,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(sk_c3,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_13781,c_85]) ).
tcf(c_15051,plain,
multiply(iPr_def_16,iPr_def_13) = sk_c5,
inference(demodulation,[status(thm)],[c_12732,c_9753]) ).
tcf(c_15054,plain,
multiply(inverse(iPr_def_16),sk_c5) = iPr_def_13,
inference(superposition,[status(thm)],[c_15051,c_8905]) ).
tcf(c_15063,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(sk_c5,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_15054,c_85]) ).
tcf(c_15223,plain,
! [X0: $i] :
( ( multiply(X0,iPr_def_16) = sk_c7 )
| ( sk_c7 != iPr_def_17 )
| ( multiply(X0,iPr_def_16) != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_983]) ).
tcf(c_15226,plain,
( ( multiply(sk_c8,iPr_def_16) = sk_c7 )
| ( sk_c7 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_16) != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_15223]) ).
tcf(c_15328,plain,
( ( sk_c8 != iPr_def_21 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_13677,c_461,c_791,c_947,c_1905,c_2212,c_13433,c_13676,c_13677,c_15226]) ).
tcf(c_15329,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_21 ) ),
inference(renaming,[status(thm)],[c_15328]) ).
tcf(c_15573,plain,
multiply(inverse(multiply(inverse(iPr_def_22),sk_c1)),identity) = sk_c7,
inference(superposition,[status(thm)],[c_84,c_10454]) ).
tcf(c_16118,plain,
inverse(multiply(inverse(iPr_def_22),sk_c1)) = sk_c7,
inference(demodulation,[status(thm)],[c_15573,c_9753]) ).
tcf(c_16127,plain,
multiply(sk_c7,multiply(inverse(iPr_def_22),sk_c1)) = identity,
inference(superposition,[status(thm)],[c_16118,c_84]) ).
tcf(c_16609,plain,
multiply(iPr_def_18,multiply(inverse(iPr_def_22),sk_c1)) = multiply(sk_c4,identity),
inference(superposition,[status(thm)],[c_16127,c_2418]) ).
tcf(c_17024,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_9067,c_84]) ).
tcf(c_17030,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_9067,c_8905]) ).
tcf(c_17032,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_9067,c_9753]) ).
tcf(c_17133,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_17024,c_2439]) ).
tcf(c_17179,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_17032,c_9753]) ).
tcf(c_17182,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c4 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3043,c_17179]) ).
tcf(c_17511,plain,
multiply(inverse(multiply(inverse(iPr_def_21),sk_c2)),identity) = sk_c3,
inference(superposition,[status(thm)],[c_84,c_10455]) ).
tcf(c_17617,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_951,c_17030]) ).
tcf(c_17625,plain,
multiply(sk_c4,sk_c7) = iPr_def_18,
inference(superposition,[status(thm)],[c_4090,c_17030]) ).
tcf(c_17838,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_17182,c_7922]) ).
tcf(c_17861,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_17838,c_4101]) ).
tcf(c_18476,plain,
inverse(multiply(inverse(iPr_def_21),sk_c2)) = sk_c3,
inference(demodulation,[status(thm)],[c_17511,c_9753]) ).
tcf(c_18484,plain,
( ~ iPr_def_11
| ( multiply(multiply(inverse(iPr_def_21),sk_c2),sk_c3) != sk_c7 )
| ( multiply(inverse(multiply(inverse(iPr_def_21),sk_c2)),sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_18476,c_423]) ).
tcf(c_18503,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_14 )
| ( multiply(multiply(inverse(iPr_def_21),sk_c2),sk_c3) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_18484,c_410,c_18476]) ).
tcf(c_19982,plain,
multiply(sk_c5,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_9068,c_84]) ).
tcf(c_19988,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_9068,c_8905]) ).
tcf(c_20430,plain,
multiply(sk_c5,sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_3389,c_19988]) ).
tcf(c_22082,plain,
multiply(inverse(iPr_def_14),multiply(iPr_def_14,sk_c6)) = multiply(iPr_def_13,iPr_def_17),
inference(superposition,[status(thm)],[c_7691,c_15001]) ).
tcf(c_22101,plain,
multiply(inverse(iPr_def_14),multiply(iPr_def_14,sk_c6)) = sk_c6,
inference(light_normalisation,[status(thm)],[c_22082,c_4101]) ).
tcf(c_22217,plain,
multiply(inverse(iPr_def_16),multiply(iPr_def_16,sk_c6)) = multiply(iPr_def_13,iPr_def_17),
inference(superposition,[status(thm)],[c_7369,c_15063]) ).
tcf(c_22230,plain,
multiply(inverse(iPr_def_16),multiply(iPr_def_16,sk_c6)) = sk_c6,
inference(light_normalisation,[status(thm)],[c_22217,c_4101]) ).
tcf(c_25743,plain,
multiply(sk_c2,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_9070,c_84]) ).
tcf(c_25750,plain,
multiply(sk_c2,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_9070,c_9753]) ).
tcf(c_25762,plain,
( ( identity = iPr_def_21 )
| ( sk_c8 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_900,c_25743]) ).
tcf(c_25763,plain,
( ( identity = iPr_def_21 )
| ( sk_c7 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_899,c_25743]) ).
tcf(c_25764,plain,
( ( identity = iPr_def_21 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_898,c_25743]) ).
tcf(c_25765,plain,
( ( identity = iPr_def_21 )
| ( sk_c8 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_897,c_25743]) ).
tcf(c_25851,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,identity)) = iPr_def_20,
inference(superposition,[status(thm)],[c_25743,c_8937]) ).
tcf(c_25859,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_25851,c_9753]) ).
tcf(c_26368,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_25763,c_414]) ).
tcf(c_26814,plain,
( ( identity = iPr_def_21 )
| ( inverse(iPr_def_19) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_25765,c_409]) ).
tcf(c_26819,plain,
( ( identity = iPr_def_21 )
| ( sk_c4 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_26814,c_17179]) ).
tcf(c_26946,plain,
inverse(iPr_def_20) = sk_c2,
inference(demodulation,[status(thm)],[c_25750,c_9753]) ).
tcf(c_27238,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c8 = iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_3455,c_1161,c_3354,c_3590,c_3949,c_6206,c_6275,c_6276]) ).
tcf(c_27328,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_27238,c_950]) ).
tcf(c_27350,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c6 = identity ) ),
inference(light_normalisation,[status(thm)],[c_27328,c_4101]) ).
tcf(c_27996,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_13,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_26819,c_26368]) ).
tcf(c_28008,plain,
( ( identity = iPr_def_21 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_27996,c_4101]) ).
tcf(c_28345,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( identity = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27350,c_17861]) ).
tcf(c_28725,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( identity = iPr_def_21 )
| ( sk_c3 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_28008,c_431]) ).
tcf(c_28828,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_21 )
| ( multiply(iPr_def_18,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28345,c_83]) ).
tcf(c_28854,plain,
multiply(inverse(identity),sk_c2) = sk_c2,
inference(superposition,[status(thm)],[c_25743,c_10639]) ).
tcf(c_28873,plain,
multiply(identity,sk_c2) = sk_c2,
inference(light_normalisation,[status(thm)],[c_28854,c_9783]) ).
tcf(c_29676,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( identity = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_28725,c_417]) ).
tcf(c_29681,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( identity = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_29676,c_25743]) ).
tcf(c_29710,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29681,c_83]) ).
tcf(c_31834,plain,
( ( sk_c7 = identity )
| ( identity != iPr_def_17 )
| ( sk_c7 != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_956]) ).
tcf(c_33560,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c6 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_28828,c_2900]) ).
tcf(c_33719,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(inverse(iPr_def_13),iPr_def_21) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_29710,c_10643]) ).
tcf(c_34047,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_33560,c_27350]) ).
tcf(c_34295,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_21 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34047,c_83]) ).
tcf(c_34345,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( multiply(identity,sk_c8) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1975,c_9783]) ).
tcf(c_34346,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c8 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_34345,c_83]) ).
tcf(c_34357,plain,
( ( iPr_def_13 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c8 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7879,c_34346]) ).
tcf(c_34372,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c8 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_454,c_34346]) ).
tcf(c_34373,plain,
( ( sk_c8 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c8 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_453,c_34346]) ).
tcf(c_34375,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c8 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_450,c_34346]) ).
tcf(c_34710,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_34295,c_12773]) ).
tcf(c_34743,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c6 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_34710,c_409,c_4101]) ).
tcf(c_35023,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_34743,c_33560]) ).
tcf(c_35327,plain,
iPr_def_13 = iPr_def_21,
inference(global_subsumption_just,[status(thm)],[c_35023,c_7249,c_7879,c_13653,c_27238,c_31834,c_34047,c_34357,c_35023]) ).
tcf(c_35372,plain,
( ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_25765,c_35327]) ).
tcf(c_35373,plain,
( ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_25764,c_35327]) ).
tcf(c_35375,plain,
( ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_25762,c_35327]) ).
tcf(c_35408,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_15329,c_35327]) ).
tcf(c_35427,plain,
multiply(sk_c2,iPr_def_14) = multiply(iPr_def_13,sk_c8),
inference(demodulation,[status(thm)],[c_7584,c_35327]) ).
tcf(c_35471,plain,
multiply(sk_c2,iPr_def_14) = identity,
inference(light_normalisation,[status(thm)],[c_35427,c_950]) ).
tcf(c_35857,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,identity)) = iPr_def_14,
inference(superposition,[status(thm)],[c_35471,c_8937]) ).
tcf(c_35867,plain,
iPr_def_14 = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_35857,c_9753,c_25859]) ).
tcf(c_35871,plain,
inverse(iPr_def_14) = sk_c2,
inference(demodulation,[status(thm)],[c_26946,c_35867]) ).
tcf(c_35906,plain,
( ( sk_c3 = iPr_def_14 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_433,c_35867]) ).
tcf(c_35910,plain,
( ( sk_c3 = iPr_def_14 )
| ( sk_c8 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_430,c_35867]) ).
tcf(c_36032,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(inverse(iPr_def_14),iPr_def_14) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_35906,c_8934]) ).
tcf(c_36049,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c8 = identity ) ),
inference(light_normalisation,[status(thm)],[c_36032,c_35471,c_35871]) ).
tcf(c_36158,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_14) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_35910,c_8934]) ).
tcf(c_36175,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = identity ) ),
inference(light_normalisation,[status(thm)],[c_36158,c_35471,c_35871]) ).
tcf(c_36643,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c8 != iPr_def_13 )
| ( sk_c7 != identity ) ),
inference(global_subsumption_just,[status(thm)],[c_34372,c_1634,c_1724,c_5901,c_5976,c_10100,c_34372,c_35408]) ).
tcf(c_36644,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c7 != identity )
| ( sk_c8 != iPr_def_13 ) ),
inference(renaming,[status(thm)],[c_36643]) ).
tcf(c_36667,plain,
( ( sk_c8 = iPr_def_19 )
| ( iPr_def_13 != iPr_def_22 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm)],[c_444,c_36644]) ).
tcf(c_36756,plain,
( ( sk_c8 = iPr_def_19 )
| ( iPr_def_13 != iPr_def_22 )
| ( identity != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_454,c_36667]) ).
tcf(c_37034,plain,
( ( sk_c8 = iPr_def_19 )
| ( iPr_def_13 != iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_36756,c_35372,c_36756]) ).
tcf(c_37042,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c8 != iPr_def_13 )
| ( sk_c7 != identity ) ),
inference(global_subsumption_just,[status(thm)],[c_34373,c_1506,c_10102,c_34373,c_35408]) ).
tcf(c_37043,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c7 != identity )
| ( sk_c8 != iPr_def_13 ) ),
inference(renaming,[status(thm)],[c_37042]) ).
tcf(c_37067,plain,
( ( sk_c8 = iPr_def_18 )
| ( iPr_def_13 != iPr_def_22 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm)],[c_443,c_37043]) ).
tcf(c_37140,plain,
( ( sk_c8 = iPr_def_18 )
| ( iPr_def_13 != iPr_def_22 )
| ( identity != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_453,c_37067]) ).
tcf(c_37434,plain,
( ( sk_c8 = iPr_def_18 )
| ( iPr_def_13 != iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_37140,c_35373,c_37140]) ).
tcf(c_37503,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 != iPr_def_13 )
| ( sk_c7 != identity ) ),
inference(global_subsumption_just,[status(thm)],[c_34375,c_6686,c_34375,c_35408]) ).
tcf(c_37504,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 != identity )
| ( sk_c8 != iPr_def_13 ) ),
inference(renaming,[status(thm)],[c_37503]) ).
tcf(c_37529,plain,
( ( sk_c8 = iPr_def_15 )
| ( iPr_def_13 != iPr_def_22 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm)],[c_440,c_37504]) ).
tcf(c_37589,plain,
( ( sk_c8 = iPr_def_15 )
| ( iPr_def_13 != iPr_def_22 )
| ( identity != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_450,c_37529]) ).
tcf(c_40507,plain,
( ( sk_c8 = iPr_def_15 )
| ( iPr_def_13 != iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_37589,c_35375,c_37589]) ).
tcf(c_44456,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_40507,c_37434,c_37034,c_36175,c_36049,c_35871,c_35471,c_35408,c_35327,c_33719,c_28873,c_26946,c_22230,c_22217,c_22101,c_20430,c_19982,c_18503,c_18484,c_18476,c_17625,c_17617,c_17179,c_17133,c_16609,c_16127,c_13778,c_13341,c_12837,c_12731,c_12680,c_12675,c_10134,c_10102,c_9788,c_9786,c_9767,c_9766,c_9761,c_9783,c_9098,c_9075,c_7249,c_5128,c_1992,c_1905,c_13198,c_442,c_441,c_429,c_428,c_427,c_426,c_425,c_420,c_409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP235-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 14:16:26 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 18.62/3.34 % SZS status Started for theBenchmark.p
% 18.62/3.34 % SZS status Unsatisfiable for theBenchmark.p
% 18.62/3.34
% 18.62/3.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.62/3.34
% 18.62/3.34 % ------ iProver source info
% 18.62/3.34
% 18.62/3.34 % git: date: 2026-07-19 20:42:38 +0200
% 18.62/3.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.62/3.34 % git: non_committed_changes: false
% 18.62/3.34
% 18.62/3.34 % ------ Parsing...% successful
% 18.62/3.34
% 18.62/3.34
% 18.62/3.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.62/3.34
% 18.62/3.34 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 18.62/3.34
% 18.62/3.34 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.62/3.34
% 18.62/3.34 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 18.62/3.34 % ------ Proving...
% 18.62/3.34 % ------ Problem Properties
% 18.62/3.34
% 18.62/3.34 %
% 18.62/3.34 % clauses 48
% 18.62/3.34 % conjectures 34
% 18.62/3.34 % EPR 31
% 18.62/3.34 % Horn 17
% 18.62/3.34 % unary 14
% 18.62/3.34 % binary 30
% 18.62/3.34 % lits 87
% 18.62/3.34 % lits eq 81
% 18.62/3.34 % fd_pure 0
% 18.62/3.34 % fd_pseudo 0
% 18.62/3.34 % fd_cond 0
% 18.62/3.34 % fd_pseudo_cond 0
% 18.62/3.34 % AC symbols 0
% 18.62/3.34
% 18.62/3.34 % ------ Schedule dynamic 5 is on
% 18.62/3.34
% 18.62/3.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.62/3.34
% 18.62/3.34
% 18.62/3.34 % ------
% 18.62/3.34 % Current options:
% 18.62/3.34 % ------
% 18.62/3.34
% 18.62/3.34
% 18.62/3.34 %
% 18.62/3.34
% 18.62/3.34 % ------ Proving...
% 18.62/3.34 %
% 18.62/3.34
% 18.62/3.34 % SZS status Unsatisfiable for theBenchmark.p
% 18.62/3.34
% 18.62/3.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.62/3.35
% 18.62/3.35
%------------------------------------------------------------------------------