%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP324-1 : 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 : n011.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 01:32:51 PM UTC 2026
% Result : Unsatisfiable 14.33s 2.84s
% Output : CNFRefutation 14.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 48
% Syntax : Number of formulae : 366 ( 111 unt; 12 def)
% Number of atoms : 1241 ( 675 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 571 ( 197 ~; 374 |; 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 : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 82 !; 0 ?; 62 :)
% 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_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f7]) ).
fof(f11,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = inverse(sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c5,sk_c7) = 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_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f13]) ).
fof(f17,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = inverse(sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c6 = inverse(sk_c8)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = inverse(sk_c5)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = inverse(sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f47]) ).
fof(f51,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f51]) ).
fof(f55,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c6 = inverse(sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f59]) ).
fof(f65,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c6 = inverse(sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c7
| multiply(X4,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c6
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != X1
| multiply(sk_c8,X1) != sk_c7
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7)
| sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(X2)
| multiply(X2,sk_c8) != X1
| sk_c7 != multiply(sk_c8,X1)
| inverse(X0) != sk_c7
| sk_c8 != multiply(X0,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X2,X3,X0,X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7)
| sk_c6 != inverse(sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| inverse(X0) != sk_c7
| sk_c8 != multiply(X0,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(equality_resolution,[],[f78]) ).
tcf(c_89,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_90,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_96,negated_conjecture,
( ( multiply(sk_c5,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_99,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_111,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_117,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_118,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_122,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_124,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_126,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_127,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c8) != sk_c6 )
| ( inverse(X3) != sk_c7 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X3,sk_c7) != sk_c6 )
| ( multiply(X2,sk_c8) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 )
| ( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_473,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_128]) ).
tcf(c_474,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_128]) ).
tcf(c_475,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_128]) ).
tcf(c_476,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_128]) ).
tcf(c_477,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_128]) ).
tcf(c_478,definition,
iPr_def_14 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_479,definition,
iPr_def_15 = multiply(sk_c8,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_480,definition,
iPr_def_16 = inverse(sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_481,definition,
iPr_def_17 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_482,definition,
iPr_def_18 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_483,definition,
iPr_def_19 = multiply(sk_c5,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_484,definition,
iPr_def_20 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_485,definition,
iPr_def_21 = multiply(sk_c4,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_486,definition,
iPr_def_22 = multiply(sk_c2,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_487,definition,
iPr_def_23 = multiply(sk_c8,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_488,definition,
iPr_def_24 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_489,definition,
iPr_def_25 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_490,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 != sk_c6 )
| ( iPr_def_15 != sk_c6 )
| ( iPr_def_14 != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_477,c_480,c_479,c_478]) ).
tcf(c_491,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_476]) ).
tcf(c_492,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_475]) ).
tcf(c_493,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_474]) ).
tcf(c_494,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_473]) ).
tcf(c_495,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_127,c_482,c_481]) ).
tcf(c_496,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_126,c_483]) ).
tcf(c_497,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_125]) ).
tcf(c_498,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_124,c_484]) ).
tcf(c_499,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_123,c_485]) ).
tcf(c_500,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_503,negated_conjecture,
( ( iPr_def_22 = sk_c3 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_504,negated_conjecture,
( ( iPr_def_22 = sk_c3 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_505,negated_conjecture,
( ( iPr_def_22 = sk_c3 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_507,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_115,c_487]) ).
tcf(c_509,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_510,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_511,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_512,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_513,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_109,c_488]) ).
tcf(c_514,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_515,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_516,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_517,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_518,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_519,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_103,c_489]) ).
tcf(c_520,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_521,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_522,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_523,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_524,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_526,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_527,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_529,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_530,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_531,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_804,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_500,c_497]) ).
tcf(c_935,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_505,c_487]) ).
tcf(c_936,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_504,c_487]) ).
tcf(c_937,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_503,c_487]) ).
tcf(c_966,plain,
multiply(iPr_def_20,sk_c4) = identity,
inference(superposition,[status(thm)],[c_484,c_90]) ).
tcf(c_967,plain,
multiply(iPr_def_16,sk_c8) = identity,
inference(superposition,[status(thm)],[c_480,c_90]) ).
tcf(c_968,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(superposition,[status(thm)],[c_481,c_90]) ).
tcf(c_969,plain,
multiply(iPr_def_24,sk_c1) = identity,
inference(superposition,[status(thm)],[c_488,c_90]) ).
tcf(c_970,plain,
multiply(iPr_def_18,sk_c2) = identity,
inference(superposition,[status(thm)],[c_482,c_90]) ).
tcf(c_1000,plain,
! [X0: $i] :
( ( iPr_def_14 = sk_c6 )
| ( iPr_def_14 != X0 )
| ( sk_c6 != X0 ) ),
inference(instantiation,[status(thm)],[c_532]) ).
tcf(c_1010,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c7 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_512,c_509]) ).
tcf(c_1019,plain,
! [X0: $i,X1: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_532]) ).
tcf(c_1030,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_513,c_489]) ).
tcf(c_1032,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( sk_c7 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_513,c_507]) ).
tcf(c_1060,plain,
! [X0: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != sk_c6 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1019]) ).
tcf(c_1061,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_1073,plain,
( ( sk_c6 = iPr_def_19 )
| ( iPr_def_19 != sk_c6 )
| ( sk_c6 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1060]) ).
tcf(c_1102,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c7 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_515,c_514]) ).
tcf(c_1113,plain,
( ( sk_c6 = iPr_def_14 )
| ( iPr_def_14 != sk_c6 )
| ( sk_c6 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1060]) ).
tcf(c_1124,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_516,c_489]) ).
tcf(c_1129,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_24,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_516,c_478]) ).
tcf(c_1177,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_517,c_489]) ).
tcf(c_1222,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c7 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_518,c_515]) ).
tcf(c_1223,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c7 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_518,c_514]) ).
tcf(c_1250,plain,
( ( sk_c8 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_519,c_483]) ).
tcf(c_1306,plain,
( ( iPr_def_14 = sk_c6 )
| ( iPr_def_14 != iPr_def_19 )
| ( sk_c6 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1000]) ).
tcf(c_1391,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_522,c_486]) ).
tcf(c_1393,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_522,c_479]) ).
tcf(c_1456,plain,
( ( sk_c8 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_523,c_489]) ).
tcf(c_1511,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c8 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_524,c_521]) ).
tcf(c_1512,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c8 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_524,c_520]) ).
tcf(c_1845,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( sk_c6 = iPr_def_14 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_529,c_527]) ).
tcf(c_1846,plain,
( ( iPr_def_14 = iPr_def_19 )
| ( sk_c6 = iPr_def_14 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_529,c_526]) ).
tcf(c_1989,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c6 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_530,c_527]) ).
tcf(c_1990,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c6 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_530,c_526]) ).
tcf(c_2037,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_15 )
| ( inverse(sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_479,c_492]) ).
tcf(c_2040,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c6 )
| ( inverse(identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_89,c_492]) ).
tcf(c_2063,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_15 )
| ( sk_c7 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_2037,c_480]) ).
tcf(c_2172,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_19 )
| ( inverse(sk_c5) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_483,c_493]) ).
tcf(c_2173,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_25 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_489,c_493]) ).
tcf(c_2174,plain,
( ~ iPr_def_11
| ( sk_c7 != sk_c8 )
| ( inverse(identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_89,c_493]) ).
tcf(c_2189,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_25 )
| ( sk_c7 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_2173,c_488]) ).
tcf(c_2193,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_19 )
| ( sk_c7 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2172,c_481]) ).
tcf(c_2288,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_21 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_485,c_494]) ).
tcf(c_2290,plain,
( ~ iPr_def_10
| ( sk_c7 != sk_c8 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_89,c_494]) ).
tcf(c_2292,plain,
( ~ iPr_def_10
| ( sk_c7 != identity )
| ( inverse(iPr_def_16) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_967,c_494]) ).
tcf(c_2305,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_20 )
| ( sk_c7 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_2288,c_484]) ).
tcf(c_2370,plain,
( ~ iPr_def_13
| ( inverse(sk_c4) != sk_c8 )
| ( multiply(sk_c8,iPr_def_21) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_485,c_491]) ).
tcf(c_2373,plain,
( ~ iPr_def_13
| ( inverse(inverse(sk_c8)) != sk_c8 )
| ( multiply(sk_c8,identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_90,c_491]) ).
tcf(c_2387,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_20 )
| ( multiply(sk_c8,iPr_def_21) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2370,c_484]) ).
tcf(c_2505,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_478,c_91]) ).
tcf(c_2506,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_479,c_91]) ).
tcf(c_2507,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_485,c_91]) ).
tcf(c_2508,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c7,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_483,c_91]) ).
tcf(c_2511,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_486,c_91]) ).
tcf(c_2513,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_90,c_91]) ).
tcf(c_2515,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_966,c_91]) ).
tcf(c_2516,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_967,c_91]) ).
tcf(c_2517,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_968,c_91]) ).
tcf(c_2518,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_969,c_91]) ).
tcf(c_2519,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_970,c_91]) ).
tcf(c_2525,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2519,c_89]) ).
tcf(c_2526,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2518,c_89]) ).
tcf(c_2527,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2517,c_89]) ).
tcf(c_2528,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2516,c_89]) ).
tcf(c_2529,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2515,c_89]) ).
tcf(c_2709,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_804,c_486]) ).
tcf(c_3098,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1032,c_483]) ).
tcf(c_3201,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 )
| ( iPr_def_14 != iPr_def_15 )
| ( sk_c6 != iPr_def_16 )
| ( sk_c6 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_500,c_490]) ).
tcf(c_3433,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1102,c_489]) ).
tcf(c_3747,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1222,c_1010]) ).
tcf(c_3754,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1222,c_489]) ).
tcf(c_3759,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_24,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1222,c_478]) ).
tcf(c_3921,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1223,c_478]) ).
tcf(c_4231,plain,
( ( iPr_def_18 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1511,c_804]) ).
tcf(c_4240,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_25,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1511,c_479]) ).
tcf(c_4318,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( multiply(iPr_def_25,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1512,c_479]) ).
tcf(c_4522,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 = iPr_def_16 )
| ( sk_c6 != iPr_def_16 )
| ( sk_c6 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1989,c_490]) ).
tcf(c_4650,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 = iPr_def_19 )
| ( sk_c6 != iPr_def_16 )
| ( sk_c6 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1990,c_490]) ).
tcf(c_4653,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_19 )
| ( sk_c6 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1990,c_526]) ).
tcf(c_4790,plain,
multiply(iPr_def_18,iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_486,c_2525]) ).
tcf(c_4793,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_4790,c_91]) ).
tcf(c_4802,plain,
multiply(iPr_def_24,iPr_def_25) = sk_c7,
inference(superposition,[status(thm)],[c_489,c_2526]) ).
tcf(c_5099,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_25,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_4802,c_91]) ).
tcf(c_5108,plain,
multiply(iPr_def_17,iPr_def_19) = sk_c7,
inference(superposition,[status(thm)],[c_483,c_2527]) ).
tcf(c_5121,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_5108,c_91]) ).
tcf(c_5133,plain,
multiply(iPr_def_16,iPr_def_15) = sk_c7,
inference(superposition,[status(thm)],[c_479,c_2528]) ).
tcf(c_5226,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_15,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_5133,c_91]) ).
tcf(c_5230,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_485,c_2529]) ).
tcf(c_5262,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_5230,c_91]) ).
tcf(c_7122,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_522,c_1129]) ).
tcf(c_7127,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_7122,c_4802]) ).
tcf(c_7166,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1177,c_2526]) ).
tcf(c_7167,plain,
( ( sk_c7 = iPr_def_24 )
| ( sk_c7 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7166,c_4802]) ).
tcf(c_8205,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1391,c_2525]) ).
tcf(c_8206,plain,
( ( sk_c8 = iPr_def_25 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_8205,c_4790]) ).
tcf(c_8263,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7127,c_1393]) ).
tcf(c_8527,plain,
( ( sk_c8 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1456,c_2526]) ).
tcf(c_8528,plain,
( ( sk_c8 = iPr_def_25 )
| ( sk_c7 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_8527,c_4802]) ).
tcf(c_9657,plain,
multiply(sk_c7,iPr_def_15) = multiply(iPr_def_14,sk_c7),
inference(superposition,[status(thm)],[c_479,c_2505]) ).
tcf(c_10321,plain,
multiply(sk_c8,iPr_def_14) = multiply(iPr_def_15,sk_c8),
inference(superposition,[status(thm)],[c_478,c_2506]) ).
tcf(c_10522,plain,
multiply(iPr_def_16,multiply(iPr_def_15,sk_c8)) = iPr_def_14,
inference(superposition,[status(thm)],[c_10321,c_2528]) ).
tcf(c_10880,plain,
multiply(sk_c5,iPr_def_14) = multiply(iPr_def_19,sk_c8),
inference(superposition,[status(thm)],[c_478,c_2508]) ).
tcf(c_11224,plain,
multiply(sk_c2,multiply(iPr_def_15,sk_c8)) = multiply(iPr_def_22,iPr_def_14),
inference(superposition,[status(thm)],[c_10321,c_2511]) ).
tcf(c_12583,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c6 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_1845,c_526,c_1061,c_1073,c_1113,c_1306,c_1846]) ).
tcf(c_12584,plain,
( ( sk_c6 = iPr_def_14 )
| ( sk_c7 = iPr_def_21 ) ),
inference(renaming,[status(thm)],[c_12583]) ).
tcf(c_14039,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2513,c_89]) ).
tcf(c_14059,plain,
multiply(inverse(sk_c7),iPr_def_14) = sk_c8,
inference(superposition,[status(thm)],[c_478,c_14039]) ).
tcf(c_14066,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_89,c_14039]) ).
tcf(c_14067,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_90,c_14039]) ).
tcf(c_14192,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2529,c_14039]) ).
tcf(c_14193,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2528,c_14039]) ).
tcf(c_14194,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2527,c_14039]) ).
tcf(c_14195,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2526,c_14039]) ).
tcf(c_14196,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2525,c_14039]) ).
tcf(c_14218,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_14039,c_14039]) ).
tcf(c_14682,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_14067,c_14218]) ).
tcf(c_14693,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_14682,c_2505]) ).
tcf(c_14697,plain,
multiply(sk_c8,sk_c7) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_14682,c_2506]) ).
tcf(c_14703,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14682,c_14066]) ).
tcf(c_14705,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_14697,c_479]) ).
tcf(c_14708,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_14693,c_478]) ).
tcf(c_14734,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_14703,c_90]) ).
tcf(c_15155,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1511,c_3759]) ).
tcf(c_15169,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_15155,c_4802]) ).
tcf(c_15323,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1512,c_3921]) ).
tcf(c_15338,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_15323,c_4802]) ).
tcf(c_16550,plain,
multiply(sk_c4,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_14192,c_90]) ).
tcf(c_16554,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_20)) != sk_c8 )
| ( multiply(sk_c4,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_14192,c_494]) ).
tcf(c_16555,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_14192,c_14039]) ).
tcf(c_16556,plain,
multiply(sk_c4,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_14192,c_14682]) ).
tcf(c_16565,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_21 )
| ( inverse(inverse(iPr_def_20)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_16554,c_485]) ).
tcf(c_16607,plain,
inverse(iPr_def_20) = sk_c4,
inference(demodulation,[status(thm)],[c_16556,c_14682]) ).
tcf(c_17090,plain,
multiply(sk_c4,sk_c8) = iPr_def_21,
inference(superposition,[status(thm)],[c_5230,c_16555]) ).
tcf(c_17632,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_16)) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_14193,c_492]) ).
tcf(c_17633,plain,
multiply(sk_c8,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_14193,c_90]) ).
tcf(c_17638,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_14193,c_14039]) ).
tcf(c_17639,plain,
multiply(sk_c8,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_14193,c_14682]) ).
tcf(c_17647,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_15 )
| ( inverse(inverse(iPr_def_16)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_17632,c_479]) ).
tcf(c_17708,plain,
multiply(sk_c4,identity) = multiply(iPr_def_21,iPr_def_16),
inference(superposition,[status(thm)],[c_17633,c_2507]) ).
tcf(c_17709,plain,
multiply(sk_c7,identity) = multiply(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_17633,c_2505]) ).
tcf(c_17710,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_17633,c_2528]) ).
tcf(c_17942,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_25,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_15169,c_4240]) ).
tcf(c_17990,plain,
inverse(iPr_def_16) = sk_c8,
inference(demodulation,[status(thm)],[c_17639,c_14682]) ).
tcf(c_18016,plain,
multiply(sk_c8,identity) = sk_c8,
inference(superposition,[status(thm)],[c_967,c_17638]) ).
tcf(c_18027,plain,
multiply(sk_c8,sk_c7) = iPr_def_15,
inference(superposition,[status(thm)],[c_5133,c_17638]) ).
tcf(c_18032,plain,
( ~ iPr_def_13
| ( sk_c7 != sk_c8 )
| ( inverse(iPr_def_16) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_17638,c_491]) ).
tcf(c_18080,plain,
( ~ iPr_def_13
| ( sk_c7 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_18032,c_17990]) ).
tcf(c_18555,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_15338,c_4318]) ).
tcf(c_18637,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c8 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_511,c_18080]) ).
tcf(c_18783,plain,
multiply(iPr_def_21,iPr_def_16) = sk_c4,
inference(demodulation,[status(thm)],[c_17708,c_14682]) ).
tcf(c_19598,plain,
multiply(sk_c8,identity) = multiply(iPr_def_18,iPr_def_22),
inference(superposition,[status(thm)],[c_14682,c_4793]) ).
tcf(c_19628,plain,
multiply(sk_c7,identity) = multiply(iPr_def_24,iPr_def_25),
inference(superposition,[status(thm)],[c_14682,c_5099]) ).
tcf(c_19636,plain,
multiply(iPr_def_14,iPr_def_16) = sk_c7,
inference(light_normalisation,[status(thm)],[c_19628,c_4802,c_17709]) ).
tcf(c_19753,plain,
multiply(sk_c7,identity) = multiply(iPr_def_17,iPr_def_19),
inference(superposition,[status(thm)],[c_14682,c_5121]) ).
tcf(c_19818,plain,
multiply(inverse(iPr_def_14),sk_c7) = iPr_def_16,
inference(superposition,[status(thm)],[c_19636,c_14039]) ).
tcf(c_19898,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(inverse(iPr_def_14),iPr_def_23) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_511,c_19818]) ).
tcf(c_19904,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_16 )
| ( inverse(inverse(iPr_def_14)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_19818,c_492]) ).
tcf(c_19905,plain,
multiply(inverse(inverse(iPr_def_14)),iPr_def_16) = sk_c7,
inference(superposition,[status(thm)],[c_19818,c_14039]) ).
tcf(c_19974,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_17709,c_19636]) ).
tcf(c_20122,plain,
multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_15),
inference(superposition,[status(thm)],[c_14682,c_5226]) ).
tcf(c_20239,plain,
multiply(sk_c8,identity) = multiply(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_14682,c_5262]) ).
tcf(c_20381,plain,
multiply(sk_c5,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_14194,c_90]) ).
tcf(c_20387,plain,
multiply(sk_c5,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_14194,c_14682]) ).
tcf(c_20402,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( identity = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_3098,c_20381]) ).
tcf(c_20403,plain,
( ( identity = iPr_def_19 )
| ( sk_c8 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_1250,c_20381]) ).
tcf(c_20597,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(inverse(inverse(iPr_def_14)),iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19898,c_14039]) ).
tcf(c_20795,plain,
( ( identity = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_25) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_20403,c_10321]) ).
tcf(c_21676,plain,
inverse(iPr_def_17) = sk_c5,
inference(demodulation,[status(thm)],[c_20387,c_14682]) ).
tcf(c_22755,plain,
multiply(sk_c1,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_14195,c_90]) ).
tcf(c_22761,plain,
multiply(sk_c1,identity) = inverse(iPr_def_24),
inference(superposition,[status(thm)],[c_14195,c_14682]) ).
tcf(c_22797,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_3754,c_22755]) ).
tcf(c_22798,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_3433,c_22755]) ).
tcf(c_22799,plain,
( ( identity = iPr_def_25 )
| ( sk_c7 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_1177,c_22755]) ).
tcf(c_22800,plain,
( ( identity = iPr_def_25 )
| ( sk_c8 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1124,c_22755]) ).
tcf(c_22801,plain,
( ( identity = iPr_def_25 )
| ( sk_c7 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1030,c_22755]) ).
tcf(c_22860,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(superposition,[status(thm)],[c_22755,c_2526]) ).
tcf(c_23696,plain,
inverse(iPr_def_24) = sk_c1,
inference(demodulation,[status(thm)],[c_22761,c_14682]) ).
tcf(c_24022,plain,
( ( identity = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_22800,c_485]) ).
tcf(c_24023,plain,
( ( identity = iPr_def_25 )
| ( multiply(iPr_def_20,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_22800,c_479]) ).
tcf(c_24024,plain,
( ( identity = iPr_def_25 )
| ( inverse(iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_22800,c_480]) ).
tcf(c_24026,plain,
( ( identity = iPr_def_25 )
| ( sk_c4 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_24024,c_16607]) ).
tcf(c_24033,plain,
( ( identity = iPr_def_25 )
| ( identity = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_24022,c_16550]) ).
tcf(c_24558,plain,
( ( identity = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),iPr_def_14) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_22801,c_14059]) ).
tcf(c_24607,plain,
( ( identity = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_22801,c_483]) ).
tcf(c_24617,plain,
( ( identity = iPr_def_25 )
| ( identity = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_24607,c_20381]) ).
tcf(c_24941,plain,
( ( identity = iPr_def_25 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_24026,c_485]) ).
tcf(c_25008,plain,
multiply(sk_c2,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_14196,c_90]) ).
tcf(c_25011,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_18)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c2,sk_c8)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_14196,c_491]) ).
tcf(c_25013,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_14196,c_14039]) ).
tcf(c_25014,plain,
multiply(sk_c2,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_14196,c_14682]) ).
tcf(c_25044,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_2709,c_25008]) ).
tcf(c_25426,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_25044,c_22797]) ).
tcf(c_25653,plain,
inverse(iPr_def_18) = sk_c2,
inference(demodulation,[status(thm)],[c_25014,c_14682]) ).
tcf(c_25687,plain,
multiply(sk_c2,sk_c8) = iPr_def_22,
inference(superposition,[status(thm)],[c_4790,c_25013]) ).
tcf(c_26363,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_25426,c_4231]) ).
tcf(c_31138,plain,
( ~ iPr_def_12
| ( sk_c7 != identity )
| ( sk_c7 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_2040,c_14703]) ).
tcf(c_31151,plain,
( ( iPr_def_15 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c7 != iPr_def_14 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm)],[c_1990,c_31138]) ).
tcf(c_31162,plain,
( ( sk_c8 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c7 != iPr_def_19 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm)],[c_520,c_31138]) ).
tcf(c_31349,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c7 != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2174,c_14703]) ).
tcf(c_31360,plain,
( ( identity = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_21 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm)],[c_22799,c_31349]) ).
tcf(c_31847,plain,
( ~ iPr_def_10
| ( sk_c8 != identity )
| ( sk_c7 != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2290,c_14703]) ).
tcf(c_32108,plain,
( ~ iPr_def_10
| ( sk_c7 != identity ) ),
inference(ground_joinability,[status(thm)],[c_2292,c_17990]) ).
tcf(c_32116,plain,
( ( identity = iPr_def_25 )
| ~ iPr_def_10
| ( identity != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_22799,c_32108]) ).
tcf(c_32145,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_511,c_32108]) ).
tcf(c_32146,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_510,c_32108]) ).
tcf(c_33377,plain,
( ( identity != iPr_def_23 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_32145,c_2305,c_32146,c_32145]) ).
tcf(c_33378,plain,
( ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(renaming,[status(thm)],[c_33377]) ).
tcf(c_34114,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c6 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26363,c_937]) ).
tcf(c_34115,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26363,c_936]) ).
tcf(c_34782,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_34115,c_34114,c_33378,c_32116,c_31847,c_31360,c_31162,c_31151,c_25687,c_25653,c_25011,c_25008,c_24941,c_24617,c_24558,c_24033,c_24023,c_23696,c_22860,c_22799,c_22798,c_22797,c_21676,c_20795,c_20597,c_20403,c_20402,c_20239,c_20122,c_19974,c_19905,c_19904,c_19753,c_19636,c_19628,c_19598,c_18783,c_18637,c_18555,c_18027,c_18016,c_17990,c_17942,c_17710,c_17647,c_17090,c_16607,c_16565,c_16550,c_14708,c_14705,c_14693,c_14703,c_12584,c_11224,c_10880,c_10522,c_10321,c_9657,c_8528,c_8263,c_8206,c_7167,c_4650,c_4653,c_4522,c_3747,c_3201,c_2387,c_2373,c_2305,c_2193,c_2189,c_2063,c_1989,c_1512,c_14734,c_967,c_935,c_526,c_524,c_521,c_500,c_499,c_498,c_497,c_496,c_495,c_490,c_488,c_484,c_482,c_480]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP324-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.38 % Computer : n011.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Wed Sep 23 14:28:28 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.43 % Detected problem language: tptp
% 0.13/0.45 % Proving...
% 14.33/2.84 % SZS status Started for theBenchmark.p
% 14.33/2.84 % SZS status Unsatisfiable for theBenchmark.p
% 14.33/2.84
% 14.33/2.84 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.33/2.84
% 14.33/2.84 % ------ iProver source info
% 14.33/2.84
% 14.33/2.84 % git: date: 2026-07-19 20:42:38 +0200
% 14.33/2.84 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.33/2.84 % git: non_committed_changes: false
% 14.33/2.84
% 14.33/2.84 % ------ Parsing...% successful
% 14.33/2.84
% 14.33/2.84
% 14.33/2.84 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.33/2.84
% 14.33/2.84 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 14.33/2.84
% 14.33/2.84 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.33/2.84
% 14.33/2.84 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 14.33/2.84 % ------ Proving...
% 14.33/2.84 % ------ Problem Properties
% 14.33/2.84
% 14.33/2.84 %
% 14.33/2.84 % clauses 56
% 14.33/2.84 % conjectures 41
% 14.33/2.84 % EPR 37
% 14.33/2.84 % Horn 19
% 14.33/2.84 % unary 15
% 14.33/2.84 % binary 36
% 14.33/2.84 % lits 106
% 14.33/2.84 % lits eq 98
% 14.33/2.84 % fd_pure 0
% 14.33/2.84 % fd_pseudo 0
% 14.33/2.84 % fd_cond 0
% 14.33/2.84 % fd_pseudo_cond 0
% 14.33/2.84 % AC symbols 0
% 14.33/2.84
% 14.33/2.84 % ------ Schedule dynamic 5 is on
% 14.33/2.84
% 14.33/2.84 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.33/2.84
% 14.33/2.84
% 14.33/2.84 % ------
% 14.33/2.84 % Current options:
% 14.33/2.84 % ------
% 14.33/2.84
% 14.33/2.84
% 14.33/2.84 %
% 14.33/2.84
% 14.33/2.84 % ------ Proving...
% 14.33/2.84 %
% 14.33/2.84
% 14.33/2.84 % SZS status Unsatisfiable for theBenchmark.p
% 14.33/2.84
% 14.33/2.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.33/2.85
% 14.33/2.85
%------------------------------------------------------------------------------