%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP250-1 : 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 : n005.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 01:32:27 PM UTC 2026
% Result : Unsatisfiable 5.08s 2.44s
% Output : CNFRefutation 5.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 48
% Syntax : Number of formulae : 327 ( 75 unt; 12 def)
% Number of atoms : 1051 ( 585 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 453 ( 130 ~; 323 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?; 48 :)
% 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,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c7 = inverse(sk_c6)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| multiply(sk_c1,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f18]) ).
fof(f24,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c7 = inverse(sk_c6)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c1) ),
inference(reorient_equations,[],[f26]) ).
fof(f32,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = inverse(sk_c6)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c9 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c7 = inverse(sk_c6)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c9 = inverse(sk_c4)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c7 = inverse(sk_c6)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( multiply(sk_c4,sk_c9) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( inverse(sk_c4) = sk_c9
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c7 = inverse(sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f74]) ).
fof(f76,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(X5,sk_c8) != sk_c7
| inverse(X5) != sk_c7
| inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| inverse(X3) != sk_c9
| multiply(X3,sk_c9) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| inverse(X2) != sk_c8
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| inverse(X0) != sk_c9
| multiply(X0,sk_c9) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c7 != inverse(X5)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(X1,sk_c8)
| inverse(X0) != sk_c9
| sk_c8 != multiply(X0,sk_c9) ),
inference(reorient_equations,[],[f76]) ).
tcf(c_89,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_90,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c4,sk_c9) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_94,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_97,negated_conjecture,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c9 ) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c1) = sk_c9 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_106,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_109,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_116,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c4) = sk_c9 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_118,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_120,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_122,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c9) = sk_c8 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c4) = sk_c9 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_124,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_126,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_127,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( inverse(X5) != sk_c7 )
| ( inverse(X4) != sk_c8 )
| ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c9 )
| ( inverse(X0) != sk_c9 )
| ( multiply(X5,sk_c8) != sk_c7 )
| ( multiply(X4,sk_c8) != sk_c7 )
| ( multiply(X3,sk_c8) != sk_c7 )
| ( multiply(X2,sk_c7) != sk_c8 )
| ( multiply(X1,sk_c9) != sk_c8 )
| ( multiply(X0,sk_c9) != sk_c8 ) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_477,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_128]) ).
tcf(c_478,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_128]) ).
tcf(c_479,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_128]) ).
tcf(c_480,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_128]) ).
tcf(c_481,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_128]) ).
tcf(c_482,definition,
iPr_def_14 = multiply(sk_c6,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_483,definition,
iPr_def_15 = multiply(sk_c3,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_484,definition,
iPr_def_16 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_485,definition,
iPr_def_17 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_486,definition,
iPr_def_18 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_487,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_488,definition,
iPr_def_20 = multiply(sk_c4,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_489,definition,
iPr_def_21 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_490,definition,
iPr_def_22 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_491,definition,
iPr_def_23 = multiply(sk_c2,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_492,definition,
iPr_def_24 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_493,definition,
iPr_def_25 = multiply(sk_c1,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_494,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_481]) ).
tcf(c_496,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_480]) ).
tcf(c_497,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,sk_c9) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_479]) ).
tcf(c_499,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_478]) ).
tcf(c_500,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_477]) ).
tcf(c_501,negated_conjecture,
( ( iPr_def_15 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_127,c_483,c_482]) ).
tcf(c_502,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_126,c_484]) ).
tcf(c_503,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_125,c_485]) ).
tcf(c_504,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_124,c_486]) ).
tcf(c_505,negated_conjecture,
( ( iPr_def_19 = sk_c9 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_123,c_487]) ).
tcf(c_506,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_122,c_488]) ).
tcf(c_507,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_121,c_489]) ).
tcf(c_508,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_509,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_510,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_511,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_512,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_513,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_115,c_490]) ).
tcf(c_514,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_515,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_516,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_517,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_518,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_519,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_109,c_491]) ).
tcf(c_520,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_521,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_522,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_525,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_103,c_492]) ).
tcf(c_526,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_529,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_530,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_531,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_14 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_97,c_493]) ).
tcf(c_532,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_533,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_534,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_535,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_19 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_536,negated_conjecture,
( ( iPr_def_25 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_836,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_507,c_483]) ).
tcf(c_855,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_508,c_483]) ).
tcf(c_892,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_510,c_483]) ).
tcf(c_912,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_512,c_482]) ).
tcf(c_933,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_513,c_483]) ).
tcf(c_961,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_514,c_483]) ).
tcf(c_985,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_515,c_482]) ).
tcf(c_1003,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_509,c_486]) ).
tcf(c_1016,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_511,c_488]) ).
tcf(c_1050,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_487,c_90]) ).
tcf(c_1051,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(superposition,[status(thm)],[c_485,c_90]) ).
tcf(c_1052,plain,
multiply(iPr_def_16,sk_c6) = identity,
inference(superposition,[status(thm)],[c_484,c_90]) ).
tcf(c_1053,plain,
multiply(iPr_def_24,sk_c1) = identity,
inference(superposition,[status(thm)],[c_492,c_90]) ).
tcf(c_1054,plain,
multiply(iPr_def_22,sk_c2) = identity,
inference(superposition,[status(thm)],[c_490,c_90]) ).
tcf(c_1055,plain,
multiply(iPr_def_21,sk_c3) = identity,
inference(superposition,[status(thm)],[c_489,c_90]) ).
tcf(c_1082,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_516,c_483]) ).
tcf(c_1116,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_517,c_493]) ).
tcf(c_1130,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_518,c_491]) ).
tcf(c_1169,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_519,c_483]) ).
tcf(c_1227,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_520,c_483]) ).
tcf(c_1294,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_521,c_483]) ).
tcf(c_1356,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_522,c_483]) ).
tcf(c_1492,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_525,c_493]) ).
tcf(c_1529,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_526,c_493]) ).
tcf(c_1645,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_529,c_493]) ).
tcf(c_1684,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_530,c_493]) ).
tcf(c_1737,plain,
( ( sk_c8 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_531,c_483]) ).
tcf(c_1822,plain,
( ( sk_c8 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_532,c_483]) ).
tcf(c_1911,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_533,c_491]) ).
tcf(c_2007,plain,
( ( sk_c8 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_534,c_483]) ).
tcf(c_2089,plain,
( ( sk_c8 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_535,c_493]) ).
tcf(c_2136,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_536,c_491]) ).
tcf(c_2176,plain,
( ~ iPr_def_13
| ( sk_c7 != iPr_def_14 )
| ( inverse(sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_482,c_496]) ).
tcf(c_2177,plain,
( ~ iPr_def_13
| ( sk_c7 != iPr_def_23 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_491,c_496]) ).
tcf(c_2191,plain,
( ~ iPr_def_13
| ( sk_c7 != iPr_def_23 )
| ( sk_c7 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2177,c_490]) ).
tcf(c_2195,plain,
( ~ iPr_def_13
| ( sk_c7 != iPr_def_16 )
| ( sk_c7 != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_2176,c_484]) ).
tcf(c_2308,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_25 )
| ( inverse(sk_c1) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_493,c_497]) ).
tcf(c_2309,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_20 )
| ( inverse(sk_c4) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_488,c_497]) ).
tcf(c_2326,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_20 )
| ( sk_c9 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2309,c_487]) ).
tcf(c_2330,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_25 )
| ( sk_c9 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_2308,c_492]) ).
tcf(c_2548,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_90,c_91]) ).
tcf(c_2550,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1050,c_91]) ).
tcf(c_2551,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1051,c_91]) ).
tcf(c_2552,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1052,c_91]) ).
tcf(c_2553,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1053,c_91]) ).
tcf(c_2554,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1054,c_91]) ).
tcf(c_2555,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1055,c_91]) ).
tcf(c_2559,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2555,c_89]) ).
tcf(c_2560,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2554,c_89]) ).
tcf(c_2561,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2553,c_89]) ).
tcf(c_2562,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2552,c_89]) ).
tcf(c_2563,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2551,c_89]) ).
tcf(c_2564,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2550,c_89]) ).
tcf(c_3231,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_15 )
| ( inverse(sk_c3) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_483,c_499]) ).
tcf(c_3255,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_21 )
| ( sk_c8 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3231,c_489]) ).
tcf(c_3414,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_18 )
| ( inverse(sk_c5) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_486,c_500]) ).
tcf(c_3416,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_23 )
| ( inverse(sk_c2) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_491,c_500]) ).
tcf(c_3439,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_23 )
| ( sk_c8 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_3416,c_490]) ).
tcf(c_3447,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_18 )
| ( sk_c8 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3414,c_485]) ).
tcf(c_5264,plain,
multiply(iPr_def_21,iPr_def_15) = sk_c7,
inference(superposition,[status(thm)],[c_483,c_2559]) ).
tcf(c_5277,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c8,
inference(superposition,[status(thm)],[c_491,c_2560]) ).
tcf(c_5324,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_836,c_2559]) ).
tcf(c_5325,plain,
( ( sk_c7 = iPr_def_14 )
| ( sk_c8 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_5324,c_5264]) ).
tcf(c_5372,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_855,c_2559]) ).
tcf(c_5373,plain,
( ( sk_c7 = iPr_def_16 )
| ( sk_c8 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_5372,c_5264]) ).
tcf(c_5389,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_23,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_5277,c_91]) ).
tcf(c_5391,plain,
multiply(iPr_def_24,iPr_def_25) = sk_c9,
inference(superposition,[status(thm)],[c_493,c_2561]) ).
tcf(c_5396,plain,
multiply(iPr_def_16,iPr_def_14) = sk_c8,
inference(superposition,[status(thm)],[c_482,c_2562]) ).
tcf(c_5410,plain,
multiply(iPr_def_17,iPr_def_18) = sk_c8,
inference(superposition,[status(thm)],[c_486,c_2563]) ).
tcf(c_5415,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c9,
inference(superposition,[status(thm)],[c_488,c_2564]) ).
tcf(c_5454,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_912,c_2562]) ).
tcf(c_5455,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_5454,c_5396]) ).
tcf(c_5466,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_933,c_2559]) ).
tcf(c_5467,plain,
( ( sk_c7 = iPr_def_14 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_5466,c_5264]) ).
tcf(c_5478,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_961,c_2559]) ).
tcf(c_5479,plain,
( ( sk_c7 = iPr_def_16 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_5478,c_5264]) ).
tcf(c_5490,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_985,c_2562]) ).
tcf(c_5491,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_5490,c_5396]) ).
tcf(c_5522,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1003,c_2563]) ).
tcf(c_5523,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_5522,c_5410]) ).
tcf(c_5806,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1082,c_2559]) ).
tcf(c_5807,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c8 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_5806,c_5264]) ).
tcf(c_5818,plain,
( ( sk_c8 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1116,c_2561]) ).
tcf(c_5819,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c9 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5818,c_5391]) ).
tcf(c_5841,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1130,c_2560]) ).
tcf(c_5842,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_5841,c_5277]) ).
tcf(c_6003,plain,
( ( sk_c7 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1169,c_2559]) ).
tcf(c_6004,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6003,c_5264]) ).
tcf(c_6015,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1227,c_2559]) ).
tcf(c_6016,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_6015,c_5264]) ).
tcf(c_6027,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1294,c_2559]) ).
tcf(c_6028,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6027,c_5264]) ).
tcf(c_6039,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1356,c_2559]) ).
tcf(c_6040,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6039,c_5264]) ).
tcf(c_6332,plain,
( ( sk_c9 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1645,c_2561]) ).
tcf(c_6333,plain,
( ( sk_c9 = iPr_def_24 )
| ( sk_c9 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6332,c_5391]) ).
tcf(c_6358,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1684,c_2561]) ).
tcf(c_6359,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c9 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_6358,c_5391]) ).
tcf(c_6384,plain,
( ( sk_c8 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1737,c_2559]) ).
tcf(c_6385,plain,
( ( sk_c7 = iPr_def_14 )
| ( sk_c8 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_6384,c_5264]) ).
tcf(c_6396,plain,
( ( sk_c8 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1822,c_2559]) ).
tcf(c_6397,plain,
( ( sk_c7 = iPr_def_16 )
| ( sk_c8 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_6396,c_5264]) ).
tcf(c_6410,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1911,c_2560]) ).
tcf(c_6411,plain,
( ( sk_c8 = iPr_def_25 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6410,c_5277]) ).
tcf(c_6508,plain,
( ( sk_c8 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2007,c_2559]) ).
tcf(c_6509,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c8 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_6508,c_5264]) ).
tcf(c_6520,plain,
( ( sk_c8 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2089,c_2561]) ).
tcf(c_6521,plain,
( ( sk_c8 = iPr_def_25 )
| ( sk_c9 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6520,c_5391]) ).
tcf(c_6548,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2136,c_2560]) ).
tcf(c_6549,plain,
( ( sk_c8 = iPr_def_25 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6548,c_5277]) ).
tcf(c_9710,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2548,c_89]) ).
tcf(c_9722,plain,
multiply(inverse(sk_c3),iPr_def_15) = sk_c7,
inference(superposition,[status(thm)],[c_483,c_9710]) ).
tcf(c_9723,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_89,c_9710]) ).
tcf(c_9724,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_90,c_9710]) ).
tcf(c_9740,plain,
( ( sk_c8 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_892,c_9710]) ).
tcf(c_9807,plain,
multiply(inverse(iPr_def_21),identity) = sk_c3,
inference(superposition,[status(thm)],[c_1055,c_9710]) ).
tcf(c_9859,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2564,c_9710]) ).
tcf(c_9860,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2563,c_9710]) ).
tcf(c_9861,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2562,c_9710]) ).
tcf(c_9862,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2561,c_9710]) ).
tcf(c_9865,plain,
multiply(inverse(iPr_def_21),sk_c7) = iPr_def_15,
inference(superposition,[status(thm)],[c_5264,c_9710]) ).
tcf(c_9876,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_9710,c_9710]) ).
tcf(c_10168,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_9724,c_9876]) ).
tcf(c_10184,plain,
multiply(sk_c8,identity) = multiply(iPr_def_22,iPr_def_23),
inference(superposition,[status(thm)],[c_10168,c_5389]) ).
tcf(c_10193,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_10168,c_9723]) ).
tcf(c_10196,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_10184,c_5277]) ).
tcf(c_10241,plain,
( ~ iPr_def_13
| ( sk_c7 != iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_2191,c_2195,c_2191,c_6004,c_6016]) ).
tcf(c_10264,plain,
( ( sk_c8 = iPr_def_25 )
| ~ iPr_def_13
| ( iPr_def_18 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_534,c_10241]) ).
tcf(c_10272,plain,
( ( sk_c8 = iPr_def_22 )
| ~ iPr_def_13
| ( iPr_def_18 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_516,c_10241]) ).
tcf(c_10275,plain,
( ( sk_c8 = iPr_def_21 )
| ~ iPr_def_13
| ( iPr_def_18 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_510,c_10241]) ).
tcf(c_10381,plain,
( ( sk_c8 = iPr_def_25 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_10264,c_2195,c_6385,c_6397]) ).
tcf(c_10387,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_494,c_10381]) ).
tcf(c_10394,plain,
( ( sk_c8 = iPr_def_25 )
| iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_10387,c_494,c_2326,c_3447,c_6411,c_6509,c_6521,c_6549,c_10381]) ).
tcf(c_10395,plain,
( iPr_def_11
| ( sk_c8 = iPr_def_25 ) ),
inference(renaming,[status(thm)],[c_10394]) ).
tcf(c_10432,plain,
( ( sk_c8 = iPr_def_22 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_10272,c_2195,c_5467,c_5479]) ).
tcf(c_10438,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_494,c_10432]) ).
tcf(c_10456,plain,
( ( sk_c8 = iPr_def_21 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_10275,c_2195,c_5325,c_5373]) ).
tcf(c_10462,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_494,c_10456]) ).
tcf(c_10469,plain,
( ( sk_c8 = iPr_def_22 )
| iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_10438,c_494,c_2326,c_3447,c_5491,c_5807,c_5819,c_5842,c_10432]) ).
tcf(c_10470,plain,
( iPr_def_11
| ( sk_c8 = iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_10469]) ).
tcf(c_10479,plain,
( ( sk_c8 = iPr_def_21 )
| iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_10462,c_494,c_2330,c_2326,c_3447,c_3439,c_5455,c_5491,c_5807,c_5819,c_5842,c_6028,c_6040,c_6333,c_6521,c_10432,c_10462]) ).
tcf(c_10480,plain,
( iPr_def_11
| ( sk_c8 = iPr_def_21 ) ),
inference(renaming,[status(thm)],[c_10479]) ).
tcf(c_10756,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_2326,c_2330,c_2326,c_6333,c_6521]) ).
tcf(c_10758,plain,
~ iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_10756,c_2330,c_6359,c_6549,c_10756]) ).
tcf(c_10760,plain,
( iPr_def_13
| iPr_def_11
| iPr_def_10 ),
inference(backward_subsumption_resolution,[status(thm)],[c_494,c_10758]) ).
tcf(c_10764,plain,
( iPr_def_13
| iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_10760,c_494,c_3447,c_3439,c_6028,c_6040,c_10470,c_10758]) ).
tcf(c_10778,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_9859,c_90]) ).
tcf(c_10784,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_9859,c_9710]) ).
tcf(c_10799,plain,
( ( identity = iPr_def_20 )
| ( sk_c8 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_1016,c_10778]) ).
tcf(c_12228,plain,
multiply(sk_c4,sk_c9) = iPr_def_20,
inference(superposition,[status(thm)],[c_5415,c_10784]) ).
tcf(c_13002,plain,
multiply(sk_c5,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_9860,c_90]) ).
tcf(c_13005,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_17)) != sk_c8 )
| ( multiply(sk_c5,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_9860,c_500]) ).
tcf(c_13007,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_17)) != sk_c8 )
| ( multiply(sk_c5,sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_9860,c_499]) ).
tcf(c_13008,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_9860,c_9710]) ).
tcf(c_13009,plain,
multiply(sk_c5,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_9860,c_10168]) ).
tcf(c_13017,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_18 )
| ( inverse(inverse(iPr_def_17)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_13005,c_486]) ).
tcf(c_13041,plain,
inverse(iPr_def_17) = sk_c5,
inference(demodulation,[status(thm)],[c_13009,c_10168]) ).
tcf(c_13410,plain,
multiply(sk_c5,sk_c8) = iPr_def_18,
inference(superposition,[status(thm)],[c_5410,c_13008]) ).
tcf(c_13770,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_16)) != sk_c7 )
| ( multiply(sk_c6,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_9861,c_496]) ).
tcf(c_13772,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_9861,c_9710]) ).
tcf(c_13773,plain,
multiply(sk_c6,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_9861,c_10168]) ).
tcf(c_13793,plain,
inverse(iPr_def_16) = sk_c6,
inference(demodulation,[status(thm)],[c_13773,c_10168]) ).
tcf(c_14118,plain,
multiply(sk_c6,sk_c8) = iPr_def_14,
inference(superposition,[status(thm)],[c_5396,c_13772]) ).
tcf(c_14173,plain,
multiply(sk_c1,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_9862,c_90]) ).
tcf(c_14194,plain,
( ( identity = iPr_def_25 )
| ( sk_c7 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1529,c_14173]) ).
tcf(c_14195,plain,
( ( identity = iPr_def_25 )
| ( sk_c7 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1492,c_14173]) ).
tcf(c_15703,plain,
( ( identity = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c7 != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_14195,c_2195]) ).
tcf(c_20597,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_15703,c_14194,c_14118,c_13793,c_13770,c_13410,c_13041,c_13017,c_13007,c_13002,c_12228,c_10799,c_10778,c_10764,c_10760,c_10480,c_10470,c_10395,c_10241,c_10196,c_10193,c_9865,c_9807,c_9740,c_9722,c_5523,c_5455,c_3255,c_3231,c_506,c_505,c_504,c_503,c_502,c_501,c_489,c_485,c_484]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP250-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.42 % Computer : n005.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Wed Sep 23 14:15:33 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.48 Running first-order theorem proving
% 0.15/0.48 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
% 0.15/0.50
% 0.15/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.50
% 0.15/0.50 % Detected problem language: tptp
% 0.23/0.52 % Proving...
% 5.08/2.44 % SZS status Started for theBenchmark.p
% 5.08/2.44 % SZS status Unsatisfiable for theBenchmark.p
% 5.08/2.44
% 5.08/2.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.08/2.44
% 5.08/2.44 % ------ iProver source info
% 5.08/2.44
% 5.08/2.44 % git: date: 2026-07-19 20:42:38 +0200
% 5.08/2.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.08/2.44 % git: non_committed_changes: false
% 5.08/2.44
% 5.08/2.44 % ------ Parsing...% successful
% 5.08/2.44
% 5.08/2.44
% 5.08/2.44 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.08/2.44
% 5.08/2.44 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 5.08/2.44
% 5.08/2.44 % ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.08/2.44
% 5.08/2.44 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 5.08/2.44 % ------ Proving...
% 5.08/2.44 % ------ Problem Properties
% 5.08/2.44
% 5.08/2.44 %
% 5.08/2.44 % clauses 56
% 5.08/2.44 % conjectures 41
% 5.08/2.44 % EPR 37
% 5.08/2.44 % Horn 19
% 5.08/2.44 % unary 15
% 5.08/2.44 % binary 36
% 5.08/2.44 % lits 103
% 5.08/2.44 % lits eq 95
% 5.08/2.44 % fd_pure 0
% 5.08/2.44 % fd_pseudo 0
% 5.08/2.44 % fd_cond 0
% 5.08/2.44 % fd_pseudo_cond 0
% 5.08/2.44 % AC symbols 0
% 5.08/2.44
% 5.08/2.44 % ------ Schedule dynamic 5 is on
% 5.08/2.44
% 5.08/2.44 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.08/2.44
% 5.08/2.44
% 5.08/2.44 % ------
% 5.08/2.44 % Current options:
% 5.08/2.44 % ------
% 5.08/2.44
% 5.08/2.44
% 5.08/2.44 %
% 5.08/2.44
% 5.08/2.44 % ------ Proving...
% 5.08/2.44 %
% 5.08/2.44
% 5.08/2.44 % SZS status Unsatisfiable for theBenchmark.p
% 5.08/2.44
% 5.08/2.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.08/2.45
% 5.08/2.45
%------------------------------------------------------------------------------