%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP286-1 : 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 : n007.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 01:32:44 PM UTC 2026
% Result : Unsatisfiable 14.25s 2.80s
% Output : CNFRefutation 14.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 43
% Syntax : Number of formulae : 324 ( 92 unt; 11 def)
% Number of atoms : 1125 ( 607 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 440 ( 128 ~; 312 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?; 63 :)
% 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_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f15]) ).
fof(f19,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f27,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f31,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f35]) ).
fof(f39,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != X3
| multiply(sk_c8,X3) != sk_c7
| inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3
| sk_c7 != multiply(sk_c8,X3)
| sk_c7 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != inverse(X1)
| sk_c6 != multiply(X1,sk_c7)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X0,X1,X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c7 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c7 != inverse(X1)
| sk_c6 != multiply(X1,sk_c7)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(equality_resolution,[],[f66]) ).
tcf(c_83,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_84,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_86,negated_conjecture,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_90,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_104,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_105,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_107,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_108,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c7 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X3,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 )
| ( multiply(sk_c8,multiply(X2,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_410,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).
tcf(c_411,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_412,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_116]) ).
tcf(c_413,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_414,definition,
iPr_def_14 = multiply(sk_c8,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_415,definition,
iPr_def_15 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_416,definition,
iPr_def_16 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_417,definition,
iPr_def_17 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_418,definition,
iPr_def_18 = multiply(sk_c4,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_419,definition,
iPr_def_19 = multiply(sk_c8,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_420,definition,
iPr_def_20 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_421,definition,
iPr_def_21 = multiply(sk_c3,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_422,definition,
iPr_def_22 = multiply(sk_c2,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_423,definition,
iPr_def_23 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_424,definition,
iPr_def_24 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_425,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c6 )
| ( iPr_def_14 != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_413,c_415,c_414]) ).
tcf(c_426,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_412]) ).
tcf(c_427,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_411]) ).
tcf(c_428,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_410]) ).
tcf(c_429,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_409]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_115,c_417,c_416]) ).
tcf(c_431,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_114,c_418]) ).
tcf(c_432,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_113,c_419]) ).
tcf(c_433,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_112,c_420]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111,c_421]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_109,c_422]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_18 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_103,c_423]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_97,c_424]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_16 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_455,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_458,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_459,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_460,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_687,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c7 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_432,c_433]) ).
tcf(c_695,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( sk_c7 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_430,c_434]) ).
tcf(c_741,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_430,c_418]) ).
tcf(c_748,plain,
( ( sk_c6 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_437,c_419]) ).
tcf(c_836,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_444,c_414]) ).
tcf(c_879,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_433,c_421]) ).
tcf(c_891,plain,
! [X0: $i] :
( ( iPr_def_14 = sk_c6 )
| ( iPr_def_14 != X0 )
| ( sk_c6 != X0 ) ),
inference(instantiation,[status(thm)],[c_461]) ).
tcf(c_893,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_445,c_424]) ).
tcf(c_894,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_444,c_424]) ).
tcf(c_895,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_442,c_424]) ).
tcf(c_909,plain,
! [X0: $i,X1: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_461]) ).
tcf(c_910,plain,
! [X0: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != sk_c6 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_909]) ).
tcf(c_911,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_460]) ).
tcf(c_919,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c6 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_461]) ).
tcf(c_921,plain,
( ( sk_c6 = iPr_def_15 )
| ( iPr_def_15 != sk_c6 )
| ( sk_c6 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_910]) ).
tcf(c_923,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(superposition,[status(thm)],[c_420,c_84]) ).
tcf(c_924,plain,
multiply(iPr_def_16,sk_c4) = identity,
inference(superposition,[status(thm)],[c_416,c_84]) ).
tcf(c_925,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_423,c_84]) ).
tcf(c_926,plain,
multiply(iPr_def_17,sk_c2) = identity,
inference(superposition,[status(thm)],[c_417,c_84]) ).
tcf(c_933,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_446,c_424]) ).
tcf(c_999,plain,
! [X0: $i] :
( ( X0 = sk_c6 )
| ( sk_c6 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_919]) ).
tcf(c_1018,plain,
( ( sk_c7 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_448,c_418]) ).
tcf(c_1050,plain,
( ( iPr_def_14 = sk_c6 )
| ( iPr_def_14 != iPr_def_15 )
| ( sk_c6 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_891]) ).
tcf(c_1107,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_22 )
| ( iPr_def_22 != X0 )
| ( iPr_def_14 != X0 ) ),
inference(instantiation,[status(thm)],[c_461]) ).
tcf(c_1139,plain,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_22 != iPr_def_22 )
| ( sk_c6 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_999]) ).
tcf(c_1140,plain,
iPr_def_22 = iPr_def_22,
inference(instantiation,[status(thm)],[c_460]) ).
tcf(c_1154,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( sk_c7 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_452,c_448]) ).
tcf(c_1253,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c6 = iPr_def_15 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_454,c_441]) ).
tcf(c_1257,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_454,c_436]) ).
tcf(c_1323,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_456,c_438]) ).
tcf(c_1374,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_457,c_439]) ).
tcf(c_1407,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c8 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_458,c_440]) ).
tcf(c_1502,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( iPr_def_22 != sk_c6 )
| ( iPr_def_14 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1107]) ).
tcf(c_1511,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_24 )
| ( sk_c7 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_451]) ).
tcf(c_1512,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_24 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_687,c_450]) ).
tcf(c_1513,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_687,c_422]) ).
tcf(c_1566,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_695,c_422]) ).
tcf(c_1620,plain,
( ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1154,c_695]) ).
tcf(c_1665,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_16,sk_c5) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1257,c_419]) ).
tcf(c_1666,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1257,c_418]) ).
tcf(c_1866,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_21 )
| ( inverse(sk_c3) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_421,c_427]) ).
tcf(c_1868,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c6 )
| ( inverse(identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_83,c_427]) ).
tcf(c_1884,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_21 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_1866,c_420]) ).
tcf(c_1958,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_15 )
| ( inverse(sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_415,c_428]) ).
tcf(c_1962,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_84,c_428]) ).
tcf(c_2091,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_14 )
| ( inverse(sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_414,c_429]) ).
tcf(c_2193,plain,
( ~ iPr_def_13
| ( inverse(sk_c7) != sk_c8 )
| ( multiply(sk_c8,iPr_def_15) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_415,c_426]) ).
tcf(c_2194,plain,
( ~ iPr_def_13
| ( inverse(sk_c4) != sk_c8 )
| ( multiply(sk_c8,iPr_def_18) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_418,c_426]) ).
tcf(c_2214,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_16 )
| ( multiply(sk_c8,iPr_def_18) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2194,c_416]) ).
tcf(c_2442,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1374,c_1323]) ).
tcf(c_2451,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1374,c_421]) ).
tcf(c_2452,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_20,sk_c8) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1374,c_415]) ).
tcf(c_2523,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1407,c_1257]) ).
tcf(c_2530,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_21,sk_c5) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1407,c_419]) ).
tcf(c_2533,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_21,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1407,c_414]) ).
tcf(c_2604,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_414,c_85]) ).
tcf(c_2605,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_415,c_85]) ).
tcf(c_2606,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_421,c_85]) ).
tcf(c_2607,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_419,c_85]) ).
tcf(c_2608,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_418,c_85]) ).
tcf(c_2612,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2614,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_923,c_85]) ).
tcf(c_2615,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_924,c_85]) ).
tcf(c_2616,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_925,c_85]) ).
tcf(c_2617,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_926,c_85]) ).
tcf(c_2623,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2617,c_83]) ).
tcf(c_2624,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2616,c_83]) ).
tcf(c_2625,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2615,c_83]) ).
tcf(c_2626,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2614,c_83]) ).
tcf(c_2719,plain,
multiply(iPr_def_17,iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_422,c_2623]) ).
tcf(c_2741,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_22,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2719,c_85]) ).
tcf(c_2743,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c8,
inference(superposition,[status(thm)],[c_424,c_2624]) ).
tcf(c_2746,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2743,c_85]) ).
tcf(c_3186,plain,
multiply(iPr_def_16,iPr_def_18) = sk_c8,
inference(superposition,[status(thm)],[c_418,c_2625]) ).
tcf(c_3201,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3186,c_85]) ).
tcf(c_3213,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c7,
inference(superposition,[status(thm)],[c_421,c_2626]) ).
tcf(c_3235,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3213,c_85]) ).
tcf(c_4315,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_450,c_836]) ).
tcf(c_4321,plain,
( ( sk_c7 = iPr_def_19 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4315,c_2743]) ).
tcf(c_4623,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4321,c_414]) ).
tcf(c_8539,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1407,c_2452]) ).
tcf(c_8552,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_8539,c_3213]) ).
tcf(c_9128,plain,
multiply(sk_c8,iPr_def_15) = multiply(iPr_def_14,sk_c8),
inference(superposition,[status(thm)],[c_415,c_2604]) ).
tcf(c_9433,plain,
multiply(sk_c7,iPr_def_14) = multiply(iPr_def_15,sk_c7),
inference(superposition,[status(thm)],[c_414,c_2605]) ).
tcf(c_9434,plain,
multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,sk_c5),
inference(superposition,[status(thm)],[c_419,c_2605]) ).
tcf(c_9831,plain,
multiply(sk_c3,multiply(iPr_def_15,sk_c5)) = multiply(iPr_def_21,iPr_def_19),
inference(superposition,[status(thm)],[c_9434,c_2606]) ).
tcf(c_10084,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c6 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_1253,c_441,c_459,c_911,c_921,c_1502]) ).
tcf(c_10232,plain,
multiply(sk_c4,iPr_def_14) = multiply(iPr_def_18,sk_c7),
inference(superposition,[status(thm)],[c_414,c_2608]) ).
tcf(c_10233,plain,
multiply(sk_c4,iPr_def_19) = multiply(iPr_def_18,sk_c5),
inference(superposition,[status(thm)],[c_419,c_2608]) ).
tcf(c_10242,plain,
( ( sk_c6 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_19) = multiply(iPr_def_18,iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_748,c_2608]) ).
tcf(c_11451,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1512,c_1511]) ).
tcf(c_13057,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2612,c_83]) ).
tcf(c_13069,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_13057]) ).
tcf(c_13070,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_13057]) ).
tcf(c_13177,plain,
multiply(inverse(sk_c7),multiply(iPr_def_15,sk_c5)) = iPr_def_19,
inference(superposition,[status(thm)],[c_9434,c_13057]) ).
tcf(c_13188,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2626,c_13057]) ).
tcf(c_13189,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2625,c_13057]) ).
tcf(c_13190,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2624,c_13057]) ).
tcf(c_13191,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2623,c_13057]) ).
tcf(c_13200,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(inverse(iPr_def_14),iPr_def_14) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_4623,c_13057]) ).
tcf(c_13249,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_13057,c_13057]) ).
tcf(c_14632,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_13070,c_13249]) ).
tcf(c_14646,plain,
multiply(sk_c8,sk_c7) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_14632,c_2604]) ).
tcf(c_14649,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_14632,c_2605]) ).
tcf(c_14650,plain,
multiply(sk_c7,identity) = multiply(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_14632,c_3235]) ).
tcf(c_14651,plain,
multiply(sk_c8,sk_c5) = multiply(iPr_def_19,identity),
inference(superposition,[status(thm)],[c_14632,c_2607]) ).
tcf(c_14652,plain,
multiply(sk_c8,identity) = multiply(iPr_def_16,iPr_def_18),
inference(superposition,[status(thm)],[c_14632,c_3201]) ).
tcf(c_14653,plain,
multiply(sk_c8,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_14632,c_2746]) ).
tcf(c_14654,plain,
multiply(sk_c7,identity) = multiply(iPr_def_17,iPr_def_22),
inference(superposition,[status(thm)],[c_14632,c_2741]) ).
tcf(c_14659,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14632,c_13069]) ).
tcf(c_14660,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_14654,c_2719]) ).
tcf(c_14661,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_14653,c_2743]) ).
tcf(c_14663,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_14651,c_419]) ).
tcf(c_14665,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_14649,c_415]) ).
tcf(c_14668,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_14646,c_414]) ).
tcf(c_14786,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_14659,c_84]) ).
tcf(c_15847,plain,
multiply(sk_c3,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_13188,c_84]) ).
tcf(c_15850,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_20)) != sk_c7 )
| ( multiply(sk_c3,sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_13188,c_429]) ).
tcf(c_15852,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_13188,c_13057]) ).
tcf(c_15853,plain,
multiply(sk_c3,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_13188,c_14632]) ).
tcf(c_15858,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_21 )
| ( inverse(inverse(iPr_def_20)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_15850,c_421]) ).
tcf(c_15869,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_2451,c_15847]) ).
tcf(c_15870,plain,
( ( identity = iPr_def_21 )
| ( sk_c7 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_879,c_15847]) ).
tcf(c_15897,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_15853,c_14632]) ).
tcf(c_15907,plain,
multiply(sk_c3,sk_c7) = iPr_def_21,
inference(superposition,[status(thm)],[c_3213,c_15852]) ).
tcf(c_16881,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_15869,c_83]) ).
tcf(c_16969,plain,
( ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_21 )
| ( sk_c7 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_15870,c_451]) ).
tcf(c_16971,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_15870,c_422]) ).
tcf(c_17289,plain,
multiply(sk_c4,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_13189,c_84]) ).
tcf(c_17294,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_13189,c_13057]) ).
tcf(c_17295,plain,
multiply(sk_c4,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_13189,c_14632]) ).
tcf(c_17310,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_1666,c_17289]) ).
tcf(c_17311,plain,
( ( identity = iPr_def_18 )
| ( sk_c7 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1018,c_17289]) ).
tcf(c_17312,plain,
( ( identity = iPr_def_18 )
| ( sk_c7 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_741,c_17289]) ).
tcf(c_17457,plain,
( ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_16969,c_421]) ).
tcf(c_17470,plain,
( ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_17457,c_15847]) ).
tcf(c_17782,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_17310,c_15869]) ).
tcf(c_17784,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( inverse(iPr_def_18) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_17310,c_14659]) ).
tcf(c_18053,plain,
( ( iPr_def_17 = iPr_def_24 )
| ( identity = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_17312,c_17311]) ).
tcf(c_18113,plain,
( ( identity = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_17312,c_422]) ).
tcf(c_18315,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_19) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_1665,c_17294]) ).
tcf(c_18341,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_18,sk_c5) = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_18315,c_10233]) ).
tcf(c_18452,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18053,c_17470]) ).
tcf(c_18577,plain,
( ~ iPr_def_12
| ( sk_c7 != identity )
| ( sk_c7 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1868,c_14659]) ).
tcf(c_20177,plain,
multiply(sk_c1,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_13190,c_84]) ).
tcf(c_20200,plain,
( ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_933,c_20177]) ).
tcf(c_20201,plain,
( ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_895,c_20177]) ).
tcf(c_20202,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_894,c_20177]) ).
tcf(c_20203,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_893,c_20177]) ).
tcf(c_20956,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20201,c_20200]) ).
tcf(c_21025,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_20201,c_418]) ).
tcf(c_21035,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_21025,c_17289]) ).
tcf(c_21753,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20203,c_20202]) ).
tcf(c_21823,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_20203,c_421]) ).
tcf(c_21833,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_21823,c_15847]) ).
tcf(c_22713,plain,
multiply(sk_c2,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_13191,c_84]) ).
tcf(c_22718,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_13191,c_13057]) ).
tcf(c_22719,plain,
multiply(sk_c2,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_13191,c_14632]) ).
tcf(c_22737,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_1566,c_22713]) ).
tcf(c_22738,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_1513,c_22713]) ).
tcf(c_22787,plain,
inverse(iPr_def_17) = sk_c2,
inference(demodulation,[status(thm)],[c_22719,c_14632]) ).
tcf(c_23721,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_22737,c_20956]) ).
tcf(c_23763,plain,
multiply(sk_c2,sk_c7) = iPr_def_22,
inference(superposition,[status(thm)],[c_2719,c_22718]) ).
tcf(c_23853,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_19 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_22738,c_21753]) ).
tcf(c_23940,plain,
( ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_23721,c_1620]) ).
tcf(c_29062,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_23853,c_11451]) ).
tcf(c_29399,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23940,c_2523]) ).
tcf(c_29454,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_29062,c_2442]) ).
tcf(c_30150,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_19) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_29454,c_15897]) ).
tcf(c_30151,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_29454,c_15847]) ).
tcf(c_30244,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_18,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_17784,c_84]) ).
tcf(c_30959,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_16881,c_2533]) ).
tcf(c_30962,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c5 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_16881,c_2530]) ).
tcf(c_31037,plain,
( ( identity = iPr_def_22 )
| ( identity = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_16971,c_22713]) ).
tcf(c_31054,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_31037,c_21833]) ).
tcf(c_31272,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_30959,c_8552]) ).
tcf(c_31581,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c6 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_30962,c_455]) ).
tcf(c_31585,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c6 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30962,c_437]) ).
tcf(c_31802,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_31581,c_1050,c_1139,c_1140,c_1502,c_10084,c_31272,c_31585]) ).
tcf(c_32523,plain,
( ( identity = iPr_def_22 )
| ( identity = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_18113,c_22713]) ).
tcf(c_32543,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32523,c_21035]) ).
tcf(c_32605,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_32543,c_31054]) ).
tcf(c_32763,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32605,c_18452]) ).
tcf(c_33146,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_32763,c_17782]) ).
tcf(c_33252,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_33146,c_29399]) ).
tcf(c_35618,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_33252,c_31802,c_30959,c_30244,c_30151,c_30150,c_29399,c_23763,c_22787,c_22719,c_22713,c_18577,c_18341,c_17295,c_15907,c_15897,c_15858,c_15853,c_15847,c_14668,c_14665,c_14663,c_14661,c_14660,c_14652,c_14651,c_14650,c_14649,c_14646,c_14659,c_13200,c_13177,c_10242,c_10233,c_10232,c_9831,c_9433,c_9128,c_2214,c_2193,c_2091,c_1962,c_1958,c_1884,c_14786,c_459,c_458,c_457,c_456,c_438,c_437,c_435,c_434,c_433,c_432,c_431,c_430,c_425,c_420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP286-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 14:20:08 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 14.25/2.80 % SZS status Started for theBenchmark.p
% 14.25/2.80 % SZS status Unsatisfiable for theBenchmark.p
% 14.25/2.80
% 14.25/2.80 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.25/2.80
% 14.25/2.80 % ------ iProver source info
% 14.25/2.80
% 14.25/2.80 % git: date: 2026-07-19 20:42:38 +0200
% 14.25/2.80 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.25/2.80 % git: non_committed_changes: false
% 14.25/2.80
% 14.25/2.80 % ------ Parsing...% successful
% 14.25/2.80
% 14.25/2.80
% 14.25/2.80 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.25/2.80
% 14.25/2.80 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 14.25/2.80
% 14.25/2.80 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.25/2.80
% 14.25/2.80 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 14.25/2.80 % ------ Proving...
% 14.25/2.80 % ------ Problem Properties
% 14.25/2.80
% 14.25/2.80 %
% 14.25/2.80 % clauses 49
% 14.25/2.80 % conjectures 35
% 14.25/2.80 % EPR 31
% 14.25/2.80 % Horn 18
% 14.25/2.80 % unary 14
% 14.25/2.80 % binary 30
% 14.25/2.80 % lits 92
% 14.25/2.80 % lits eq 84
% 14.25/2.80 % fd_pure 0
% 14.25/2.80 % fd_pseudo 0
% 14.25/2.80 % fd_cond 0
% 14.25/2.80 % fd_pseudo_cond 0
% 14.25/2.80 % AC symbols 0
% 14.25/2.80
% 14.25/2.80 % ------ Schedule dynamic 5 is on
% 14.25/2.80
% 14.25/2.80 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.25/2.80
% 14.25/2.80
% 14.25/2.80 % ------
% 14.25/2.80 % Current options:
% 14.25/2.80 % ------
% 14.25/2.80
% 14.25/2.80
% 14.25/2.80 %
% 14.25/2.80
% 14.25/2.80 % ------ Proving...
% 14.25/2.80 %
% 14.25/2.80
% 14.25/2.80 % SZS status Unsatisfiable for theBenchmark.p
% 14.25/2.80
% 14.25/2.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.25/2.80
% 14.25/2.80
%------------------------------------------------------------------------------