%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP233-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:32:04 PM UTC 2026
% Result : Unsatisfiable 10.20s 2.20s
% Output : CNFRefutation 10.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 45
% Syntax : Number of formulae : 320 ( 85 unt; 11 def)
% Number of atoms : 1091 ( 592 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 471 ( 132 ~; 339 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 79 !; 0 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f39]) ).
fof(f43,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f53,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X5) != sk_c8
| multiply(X5,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c8
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != X1
| multiply(sk_c8,X1) != sk_c7
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X2)
| multiply(X2,sk_c8) != X1
| sk_c7 != multiply(sk_c8,X1)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| inverse(sk_c8) != sk_c7 ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4,X5] :
( sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| inverse(sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f66]) ).
fof(f68,plain,
! [X2,X3,X0,X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| inverse(sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f67]) ).
tcf(c_83,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_84,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_86,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_94,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_103,negated_conjecture,
( ( multiply(sk_c8,sk_c3) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_107,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_108,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 )
| ( multiply(sk_c8,multiply(X3,sk_c8)) != sk_c7 )
| ( multiply(sk_c8,multiply(X2,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_405,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_406,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_408,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_409,definition,
iPr_def_13 = inverse(sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_410,definition,
iPr_def_14 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_411,definition,
iPr_def_15 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_412,definition,
iPr_def_16 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_413,definition,
iPr_def_17 = multiply(sk_c8,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_414,definition,
iPr_def_18 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_415,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_416,definition,
iPr_def_20 = multiply(sk_c2,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_417,definition,
iPr_def_21 = multiply(sk_c8,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_418,definition,
iPr_def_22 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_419,definition,
iPr_def_23 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_420,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_408,c_409]) ).
tcf(c_422,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_407]) ).
tcf(c_423,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_406]) ).
tcf(c_424,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_405]) ).
tcf(c_425,negated_conjecture,
( ( iPr_def_15 = sk_c8 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_115,c_411,c_410]) ).
tcf(c_426,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_114,c_412]) ).
tcf(c_427,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_113,c_413]) ).
tcf(c_428,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_112,c_414]) ).
tcf(c_429,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_111,c_415]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_20 = sk_c3 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_110,c_416]) ).
tcf(c_432,negated_conjecture,
( ( iPr_def_20 = sk_c3 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_433,negated_conjecture,
( ( iPr_def_20 = sk_c3 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_20 = sk_c3 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_105,c_417]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_100,c_418]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_95,c_419]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_14 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_455,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_673,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_15 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_427,c_420]) ).
tcf(c_759,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_435,c_414]) ).
tcf(c_761,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_14 )
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_435,c_420]) ).
tcf(c_786,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_17 )
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_437,c_420]) ).
tcf(c_802,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_438,c_414]) ).
tcf(c_804,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 )
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_438,c_420]) ).
tcf(c_820,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_439,c_414]) ).
tcf(c_822,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_19 )
| ( iPr_def_13 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_439,c_420]) ).
tcf(c_844,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_425,c_417]) ).
tcf(c_845,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_434,c_417]) ).
tcf(c_846,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_433,c_417]) ).
tcf(c_847,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_432,c_417]) ).
tcf(c_875,plain,
multiply(iPr_def_13,sk_c8) = identity,
inference(superposition,[status(thm)],[c_409,c_84]) ).
tcf(c_876,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_415,c_84]) ).
tcf(c_877,plain,
multiply(iPr_def_14,sk_c5) = identity,
inference(superposition,[status(thm)],[c_410,c_84]) ).
tcf(c_878,plain,
multiply(iPr_def_22,sk_c1) = identity,
inference(superposition,[status(thm)],[c_418,c_84]) ).
tcf(c_879,plain,
multiply(iPr_def_15,sk_c2) = identity,
inference(superposition,[status(thm)],[c_411,c_84]) ).
tcf(c_880,plain,
! [X0: $i] :
( ( iPr_def_13 = sk_c7 )
| ( iPr_def_13 != X0 )
| ( sk_c7 != X0 ) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_883,plain,
! [X0: $i,X1: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_884,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != sk_c7 )
| ( X0 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_883]) ).
tcf(c_885,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_895,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_440,c_419]) ).
tcf(c_903,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_440,c_425]) ).
tcf(c_931,plain,
( ( sk_c7 = iPr_def_17 )
| ( iPr_def_17 != sk_c7 )
| ( sk_c7 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_884]) ).
tcf(c_957,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_441,c_413]) ).
tcf(c_972,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_442,c_414]) ).
tcf(c_1014,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_443,c_419]) ).
tcf(c_1066,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_444,c_419]) ).
tcf(c_1138,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_445,c_414]) ).
tcf(c_1176,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_446,c_413]) ).
tcf(c_1201,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_447,c_414]) ).
tcf(c_1221,plain,
iPr_def_13 = iPr_def_13,
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_1239,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_448,c_414]) ).
tcf(c_1278,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_449,c_439]) ).
tcf(c_1282,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_449,c_414]) ).
tcf(c_1332,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_450,c_435]) ).
tcf(c_1391,plain,
( ( sk_c7 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_451,c_413]) ).
tcf(c_1394,plain,
( ( iPr_def_13 = sk_c7 )
| ( iPr_def_13 != iPr_def_13 )
| ( sk_c7 != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_880]) ).
tcf(c_1422,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_452,c_420]) ).
tcf(c_1463,plain,
( ( iPr_def_13 = sk_c7 )
| ( iPr_def_13 != iPr_def_21 )
| ( sk_c7 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_880]) ).
tcf(c_1495,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_453,c_438]) ).
tcf(c_1498,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_453,c_414]) ).
tcf(c_1613,plain,
( ( iPr_def_13 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_454,c_439]) ).
tcf(c_1678,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_23 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_419,c_423]) ).
tcf(c_1699,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_23 )
| ( sk_c8 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_1678,c_418]) ).
tcf(c_1780,plain,
( ~ iPr_def_10
| ( sk_c8 != sk_c7 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_83,c_424]) ).
tcf(c_2166,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_19 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_903,c_429]) ).
tcf(c_2546,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_412,c_85]) ).
tcf(c_2549,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_416,c_85]) ).
tcf(c_2551,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2553,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_875,c_85]) ).
tcf(c_2554,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_876,c_85]) ).
tcf(c_2555,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_877,c_85]) ).
tcf(c_2556,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_878,c_85]) ).
tcf(c_2557,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_879,c_85]) ).
tcf(c_2562,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2557,c_83]) ).
tcf(c_2563,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2556,c_83]) ).
tcf(c_2564,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2555,c_83]) ).
tcf(c_2565,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2554,c_83]) ).
tcf(c_2566,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2553,c_83]) ).
tcf(c_2802,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1278,c_412]) ).
tcf(c_3620,plain,
multiply(iPr_def_15,iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_416,c_2562]) ).
tcf(c_3665,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c8,
inference(superposition,[status(thm)],[c_419,c_2563]) ).
tcf(c_3681,plain,
multiply(iPr_def_14,iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_412,c_2564]) ).
tcf(c_3689,plain,
multiply(iPr_def_19,iPr_def_18) = sk_c7,
inference(superposition,[status(thm)],[c_414,c_2565]) ).
tcf(c_3692,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3689,c_85]) ).
tcf(c_3848,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_759,c_2565]) ).
tcf(c_3849,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_3848,c_3689]) ).
tcf(c_3855,plain,
multiply(iPr_def_13,iPr_def_17) = sk_c6,
inference(superposition,[status(thm)],[c_413,c_2566]) ).
tcf(c_3869,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_444,c_2566]) ).
tcf(c_3870,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_443,c_2566]) ).
tcf(c_4238,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_802,c_2565]) ).
tcf(c_4239,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_4238,c_3689]) ).
tcf(c_4250,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_820,c_2565]) ).
tcf(c_4251,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_4250,c_3689]) ).
tcf(c_4443,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_430,c_844]) ).
tcf(c_4445,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4443,c_3620]) ).
tcf(c_4476,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_444,c_845]) ).
tcf(c_5587,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_895,c_2563]) ).
tcf(c_5588,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5587,c_3665]) ).
tcf(c_5828,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_957,c_2566]) ).
tcf(c_5829,plain,
( ( sk_c6 = iPr_def_16 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_5828,c_3855]) ).
tcf(c_5958,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_972,c_2565]) ).
tcf(c_5959,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_5958,c_3689]) ).
tcf(c_5976,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1014,c_2563]) ).
tcf(c_5977,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5976,c_3665]) ).
tcf(c_6197,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1066,c_2563]) ).
tcf(c_6198,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6197,c_3665]) ).
tcf(c_6270,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1138,c_2565]) ).
tcf(c_6271,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6270,c_3689]) ).
tcf(c_6305,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(iPr_def_13,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1176,c_2566]) ).
tcf(c_6306,plain,
( ( sk_c6 = iPr_def_16 )
| ( sk_c7 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_6305,c_3855]) ).
tcf(c_6384,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1201,c_2565]) ).
tcf(c_6385,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6384,c_3689]) ).
tcf(c_6747,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1239,c_2565]) ).
tcf(c_6748,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6747,c_3689]) ).
tcf(c_6765,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1282,c_2565]) ).
tcf(c_6766,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6765,c_3689]) ).
tcf(c_7200,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_673,c_420,c_1221,c_1394,c_1422]) ).
tcf(c_7210,plain,
( iPr_def_12
| ( sk_c8 = iPr_def_14 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_761,c_420,c_1332,c_1463,c_1699,c_3849,c_5588,c_6271]) ).
tcf(c_7211,plain,
( iPr_def_12
| iPr_def_10
| ( sk_c8 = iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_7210]) ).
tcf(c_7218,plain,
( iPr_def_12
| ( sk_c7 = iPr_def_17 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_786,c_420,c_452,c_885,c_931,c_1699,c_5959,c_6385]) ).
tcf(c_7219,plain,
( iPr_def_12
| iPr_def_10
| ( sk_c7 = iPr_def_17 ) ),
inference(renaming,[status(thm)],[c_7218]) ).
tcf(c_7499,plain,
( iPr_def_12
| ( sk_c8 = iPr_def_18 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_804,c_420,c_1463,c_1495,c_1699,c_4239,c_5977,c_6748]) ).
tcf(c_7500,plain,
( iPr_def_12
| iPr_def_10
| ( sk_c8 = iPr_def_18 ) ),
inference(renaming,[status(thm)],[c_7499]) ).
tcf(c_7507,plain,
( iPr_def_12
| ( sk_c8 = iPr_def_19 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_822,c_420,c_1463,c_1613,c_1699,c_4251,c_6198,c_6766]) ).
tcf(c_7508,plain,
( iPr_def_12
| iPr_def_10
| ( sk_c8 = iPr_def_19 ) ),
inference(renaming,[status(thm)],[c_7507]) ).
tcf(c_9031,plain,
multiply(sk_c2,iPr_def_17) = multiply(iPr_def_20,sk_c6),
inference(superposition,[status(thm)],[c_413,c_2549]) ).
tcf(c_10472,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2166,c_444]) ).
tcf(c_11562,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c8) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3665,c_3869]) ).
tcf(c_11569,plain,
( ( identity = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_11562,c_875]) ).
tcf(c_11602,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c8) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3665,c_3870]) ).
tcf(c_11609,plain,
( ( identity = iPr_def_23 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_11602,c_875]) ).
tcf(c_11948,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_11569,c_412]) ).
tcf(c_15469,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2551,c_83]) ).
tcf(c_15501,plain,
multiply(inverse(sk_c5),iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_412,c_15469]) ).
tcf(c_15502,plain,
multiply(inverse(sk_c1),iPr_def_23) = sk_c8,
inference(superposition,[status(thm)],[c_419,c_15469]) ).
tcf(c_15504,plain,
multiply(inverse(sk_c2),iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_416,c_15469]) ).
tcf(c_15505,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_15469]) ).
tcf(c_15506,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_15469]) ).
tcf(c_15510,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(inverse(sk_c5),iPr_def_16) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2802,c_15469]) ).
tcf(c_15538,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(inverse(sk_c4),iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_802,c_15469]) ).
tcf(c_15578,plain,
multiply(inverse(iPr_def_14),identity) = sk_c5,
inference(superposition,[status(thm)],[c_877,c_15469]) ).
tcf(c_15610,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(inverse(sk_c4),iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1239,c_15469]) ).
tcf(c_15614,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(inverse(sk_c4),iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1498,c_15469]) ).
tcf(c_15647,plain,
! [X0: $i] : multiply(inverse(iPr_def_13),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2566,c_15469]) ).
tcf(c_15648,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2565,c_15469]) ).
tcf(c_15654,plain,
multiply(inverse(iPr_def_22),sk_c8) = iPr_def_23,
inference(superposition,[status(thm)],[c_3665,c_15469]) ).
tcf(c_15656,plain,
multiply(inverse(iPr_def_14),sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_3681,c_15469]) ).
tcf(c_15683,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15469,c_15469]) ).
tcf(c_16381,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_15506,c_15683]) ).
tcf(c_16393,plain,
multiply(sk_c7,identity) = multiply(iPr_def_19,iPr_def_18),
inference(superposition,[status(thm)],[c_16381,c_3692]) ).
tcf(c_16415,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_16381,c_15505]) ).
tcf(c_16427,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_16393,c_3689]) ).
tcf(c_18443,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_10472,c_903]) ).
tcf(c_18852,plain,
( ( iPr_def_14 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_18443,c_4476]) ).
tcf(c_18925,plain,
( ( iPr_def_14 = iPr_def_19 )
| ( sk_c8 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_18852,c_3620]) ).
tcf(c_18982,plain,
multiply(sk_c8,iPr_def_13) = identity,
inference(superposition,[status(thm)],[c_15647,c_84]) ).
tcf(c_18986,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_13,X0)) = X0,
inference(superposition,[status(thm)],[c_15647,c_15469]) ).
tcf(c_18987,plain,
multiply(sk_c8,identity) = inverse(iPr_def_13),
inference(superposition,[status(thm)],[c_15647,c_16381]) ).
tcf(c_19066,plain,
multiply(sk_c2,identity) = multiply(iPr_def_20,iPr_def_13),
inference(superposition,[status(thm)],[c_18982,c_2549]) ).
tcf(c_19068,plain,
multiply(sk_c5,identity) = multiply(iPr_def_16,iPr_def_13),
inference(superposition,[status(thm)],[c_18982,c_2546]) ).
tcf(c_19774,plain,
inverse(iPr_def_13) = sk_c8,
inference(demodulation,[status(thm)],[c_18987,c_16381]) ).
tcf(c_19843,plain,
multiply(sk_c8,sk_c6) = iPr_def_17,
inference(superposition,[status(thm)],[c_3855,c_18986]) ).
tcf(c_19856,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 )
| ( inverse(iPr_def_13) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_18986,c_422]) ).
tcf(c_19939,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 ) ),
inference(ground_joinability,[status(thm)],[c_19856,c_19774]) ).
tcf(c_20632,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_450,c_19939]) ).
tcf(c_20638,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_439,c_19939]) ).
tcf(c_20640,plain,
( ( sk_c7 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_437,c_19939]) ).
tcf(c_20641,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_435,c_19939]) ).
tcf(c_20694,plain,
multiply(iPr_def_20,iPr_def_13) = sk_c2,
inference(demodulation,[status(thm)],[c_19066,c_16381]) ).
tcf(c_20695,plain,
multiply(inverse(iPr_def_20),sk_c2) = iPr_def_13,
inference(superposition,[status(thm)],[c_20694,c_15469]) ).
tcf(c_20700,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_20695,c_85]) ).
tcf(c_20850,plain,
multiply(iPr_def_16,iPr_def_13) = sk_c5,
inference(demodulation,[status(thm)],[c_19068,c_16381]) ).
tcf(c_21621,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_20632,c_4445,c_20641]) ).
tcf(c_21627,plain,
( iPr_def_10
| ( sk_c8 = iPr_def_14 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7211,c_21621]) ).
tcf(c_22292,plain,
( ( identity = iPr_def_23 )
| ( multiply(inverse(sk_c5),iPr_def_16) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_11948,c_15469]) ).
tcf(c_23188,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_19)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_15648,c_422]) ).
tcf(c_23189,plain,
( ~ iPr_def_11
| ( multiply(sk_c4,sk_c8) != sk_c7 )
| ( inverse(inverse(iPr_def_19)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_15648,c_423]) ).
tcf(c_23190,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_15648,c_84]) ).
tcf(c_23193,plain,
( ~ iPr_def_10
| ( multiply(sk_c4,sk_c7) != sk_c8 )
| ( inverse(inverse(iPr_def_19)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_15648,c_424]) ).
tcf(c_23194,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_15648,c_15469]) ).
tcf(c_23195,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_15648,c_16381]) ).
tcf(c_23204,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_18 )
| ( inverse(inverse(iPr_def_19)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_23193,c_414]) ).
tcf(c_23261,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_23195,c_16381]) ).
tcf(c_23290,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_876,c_23194]) ).
tcf(c_23291,plain,
multiply(sk_c4,sk_c7) = iPr_def_18,
inference(superposition,[status(thm)],[c_3689,c_23194]) ).
tcf(c_23477,plain,
( ~ iPr_def_10
| ( sk_c8 != identity )
| ( sk_c8 != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1780,c_16415]) ).
tcf(c_23513,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c8 != iPr_def_21 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_439,c_23477]) ).
tcf(c_29704,plain,
multiply(inverse(iPr_def_20),iPr_def_20) = multiply(iPr_def_13,sk_c8),
inference(superposition,[status(thm)],[c_416,c_20700]) ).
tcf(c_29730,plain,
multiply(inverse(iPr_def_20),multiply(iPr_def_20,sk_c6)) = multiply(iPr_def_13,iPr_def_17),
inference(superposition,[status(thm)],[c_9031,c_20700]) ).
tcf(c_29731,plain,
multiply(inverse(iPr_def_20),sk_c2) = multiply(iPr_def_13,identity),
inference(superposition,[status(thm)],[c_16381,c_20700]) ).
tcf(c_29735,plain,
multiply(inverse(iPr_def_20),iPr_def_20) = identity,
inference(light_normalisation,[status(thm)],[c_29704,c_875]) ).
tcf(c_29736,plain,
multiply(inverse(iPr_def_20),multiply(iPr_def_20,sk_c6)) = sk_c6,
inference(light_normalisation,[status(thm)],[c_29730,c_3855]) ).
tcf(c_29885,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_29736,c_29735,c_29731,c_29730,c_29704,c_23513,c_23291,c_23290,c_23261,c_23204,c_23193,c_23189,c_23188,c_23190,c_22292,c_21627,c_20850,c_20695,c_20640,c_20638,c_19939,c_19843,c_19774,c_18987,c_18982,c_18925,c_16427,c_16393,c_15656,c_15654,c_15614,c_15610,c_15578,c_15538,c_15510,c_15504,c_15502,c_15501,c_11609,c_7508,c_7500,c_7219,c_7200,c_6306,c_5829,c_1699,c_1498,c_1391,c_1176,c_957,c_847,c_846,c_845,c_451,c_429,c_428,c_427,c_426,c_425,c_420,c_418,c_415,c_411,c_410,c_409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP233-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.33 % Computer : n006.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Wed Sep 23 14:12:41 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 Running first-order theorem proving
% 0.12/0.37 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38
% 0.12/0.38 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.38
% 0.12/0.39 % Detected problem language: tptp
% 0.12/0.40 % Proving...
% 10.20/2.20 % SZS status Started for theBenchmark.p
% 10.20/2.20 % SZS status Unsatisfiable for theBenchmark.p
% 10.20/2.20
% 10.20/2.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.20/2.20
% 10.20/2.20 % ------ iProver source info
% 10.20/2.20
% 10.20/2.20 % git: date: 2026-07-19 20:42:38 +0200
% 10.20/2.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.20/2.20 % git: non_committed_changes: false
% 10.20/2.20
% 10.20/2.20 % ------ Parsing...% successful
% 10.20/2.20
% 10.20/2.20
% 10.20/2.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.20/2.20
% 10.20/2.20 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.20/2.20
% 10.20/2.20 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.20/2.20
% 10.20/2.20 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.20/2.20 % ------ Proving...
% 10.20/2.20 % ------ Problem Properties
% 10.20/2.20
% 10.20/2.20 %
% 10.20/2.20 % clauses 48
% 10.20/2.20 % conjectures 34
% 10.20/2.20 % EPR 31
% 10.20/2.20 % Horn 17
% 10.20/2.20 % unary 14
% 10.20/2.20 % binary 30
% 10.20/2.20 % lits 87
% 10.20/2.20 % lits eq 81
% 10.20/2.20 % fd_pure 0
% 10.20/2.20 % fd_pseudo 0
% 10.20/2.20 % fd_cond 0
% 10.20/2.20 % fd_pseudo_cond 0
% 10.20/2.20 % AC symbols 0
% 10.20/2.20
% 10.20/2.20 % ------ Schedule dynamic 5 is on
% 10.20/2.20
% 10.20/2.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.20/2.20
% 10.20/2.20
% 10.20/2.20 % ------
% 10.20/2.20 % Current options:
% 10.20/2.20 % ------
% 10.20/2.20
% 10.20/2.20
% 10.20/2.20 %
% 10.20/2.20
% 10.20/2.20 % ------ Proving...
% 10.20/2.20 %
% 10.20/2.20
% 10.20/2.20 % SZS status Unsatisfiable for theBenchmark.p
% 10.20/2.20
% 10.20/2.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.20/2.20
% 10.20/2.20
%------------------------------------------------------------------------------