%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP055-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 01:30:24 PM UTC 2026
% Result : Unsatisfiable 121.64s 20.49s
% Output : CNFRefutation 121.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 2
% Syntax : Number of formulae : 87 ( 81 unt; 0 def)
% Number of atoms : 96 ( 95 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 16 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 264 ( 0 sgn 264 !; 0 ?; 261 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f2]) ).
tcf(c_51,negated_conjecture,
( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_111,c_111]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2)))),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_175,c_52]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_175,c_175]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X0,X4))) = multiply(inverse(multiply(X5,X2)),multiply(X5,X3)),
inference(superposition,[status(thm)],[c_136,c_52]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(multiply(X2,X3)),inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X3)))))))),multiply(X0,multiply(X2,X3)))) = X1,
inference(superposition,[status(thm)],[c_136,c_52]) ).
tcf(c_520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(multiply(X2,X3)),inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X3)))))))),multiply(X0,multiply(X2,X3)))) = X1,
inference(superposition,[status(thm)],[c_211,c_52]) ).
tcf(c_1287,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)) = X1,
inference(superposition,[status(thm)],[c_109,c_259]) ).
tcf(c_3008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(demodulation,[status(thm)],[c_257,c_52]) ).
tcf(c_3036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3)) = multiply(inverse(multiply(X4,multiply(X1,X2))),multiply(X4,X3)),
inference(superposition,[status(thm)],[c_52,c_3008]) ).
tcf(c_4211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X2))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_1287,c_3036]) ).
tcf(c_4828,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_4211,c_4211]) ).
tcf(c_4912,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_4828]) ).
tcf(c_5530,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)) = X1,
inference(superposition,[status(thm)],[c_173,c_520]) ).
tcf(c_106432,plain,
( ( multiply(multiply(inverse(b2),b2),a2) != a2 )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(global_subsumption_just,[status(thm)],[c_51,c_4912]) ).
tcf(c_106433,negated_conjecture,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(renaming,[status(thm)],[c_106432]) ).
tcf(c_106452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_209,c_52]) ).
tcf(c_106494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_209,c_5530]) ).
tcf(c_106538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3)) = multiply(inverse(multiply(X4,multiply(X1,X2))),multiply(X4,X3)),
inference(superposition,[status(thm)],[c_52,c_106494]) ).
tcf(c_107019,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2)))) = X1,
inference(superposition,[status(thm)],[c_173,c_52]) ).
tcf(c_107307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2)))) = inverse(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2)))),
inference(superposition,[status(thm)],[c_209,c_107019]) ).
tcf(c_107714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,X2))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_5530,c_106538]) ).
tcf(c_107715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(inverse(X0),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),multiply(inverse(multiply(X2,X1)),X3)) = multiply(inverse(multiply(X4,multiply(X2,X0))),multiply(X4,X3)),
inference(superposition,[status(thm)],[c_52,c_106538]) ).
tcf(c_108727,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_107714,c_107714]) ).
tcf(c_108928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,inverse(multiply(inverse(inverse(X1)),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))))),multiply(X0,X2)) = X1,
inference(superposition,[status(thm)],[c_108727,c_5530]) ).
tcf(c_108930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X3),X3))))))),multiply(X0,X2))) = X1,
inference(superposition,[status(thm)],[c_108727,c_52]) ).
tcf(c_108954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_108727,c_106494]) ).
tcf(c_108955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_108727,c_106452]) ).
tcf(c_108960,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))) = X1,
inference(superposition,[status(thm)],[c_108727,c_209]) ).
tcf(c_108962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X2),X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X0)),
inference(superposition,[status(thm)],[c_108727,c_106494]) ).
tcf(c_108963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X2),X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X0))),
inference(superposition,[status(thm)],[c_108727,c_106452]) ).
tcf(c_108965,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_108727,c_106452]) ).
tcf(c_109185,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_108965,c_108965]) ).
tcf(c_109250,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1)) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_109185,c_108727]) ).
tcf(c_109394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))),multiply(inverse(X2),X2)) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_109250,c_109250]) ).
tcf(c_109727,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_108727,c_108960]) ).
tcf(c_109779,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_108727,c_109727]) ).
tcf(c_110459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X2)) = multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X1),X2)),
inference(superposition,[status(thm)],[c_108954,c_108954]) ).
tcf(c_110773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X2),X2)) = multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X3),X3)),
inference(superposition,[status(thm)],[c_108962,c_108962]) ).
tcf(c_111792,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)))) = inverse(inverse(multiply(inverse(X2),X2))),
inference(superposition,[status(thm)],[c_109250,c_107307]) ).
tcf(c_112236,plain,
! [X0: $i,X1: $i] : inverse(inverse(multiply(inverse(X0),X0))) = inverse(inverse(multiply(inverse(X1),X1))),
inference(superposition,[status(thm)],[c_111792,c_111792]) ).
tcf(c_112397,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_112236,c_108727]) ).
tcf(c_124541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(X0),X0)),multiply(X1,X2)) = multiply(inverse(multiply(inverse(X3),X3)),multiply(X1,X2)),
inference(superposition,[status(thm)],[c_109727,c_110459]) ).
tcf(c_125585,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(inverse(X1),X1)) = multiply(X0,multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_109727,c_110773]) ).
tcf(c_126125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X2),X2)))) = multiply(X0,multiply(inverse(X3),X3)),
inference(superposition,[status(thm)],[c_112236,c_125585]) ).
tcf(c_134439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(multiply(inverse(X2),X2)))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_109779,c_108928]) ).
tcf(c_134679,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = multiply(inverse(multiply(inverse(X2),X2)),X1),
inference(superposition,[status(thm)],[c_108928,c_124541]) ).
tcf(c_136359,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_134439,c_108930]) ).
tcf(c_137734,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_136359,c_112397]) ).
tcf(c_137736,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(inverse(X1),X1))) = multiply(X0,multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_136359,c_126125]) ).
tcf(c_139712,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = multiply(multiply(inverse(X2),X2),X1),
inference(superposition,[status(thm)],[c_137734,c_134679]) ).
tcf(c_139726,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_137734,c_109727]) ).
tcf(c_139794,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1)) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_137734,c_109394]) ).
tcf(c_147991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,multiply(inverse(X4),X4)))),
inference(superposition,[status(thm)],[c_137736,c_108955]) ).
tcf(c_148047,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(inverse(X2),X2)))) = X1,
inference(light_normalisation,[status(thm)],[c_147991,c_139726]) ).
tcf(c_155456,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X1) = multiply(multiply(inverse(X2),X2),X1),
inference(superposition,[status(thm)],[c_136359,c_139712]) ).
tcf(c_165041,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_137734,c_148047]) ).
tcf(c_165160,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),X1)),multiply(inverse(X2),X2))) = X1,
inference(superposition,[status(thm)],[c_139794,c_148047]) ).
tcf(c_165193,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_136359,c_148047]) ).
tcf(c_198663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),X2))))) = multiply(multiply(inverse(X3),X3),X1),
inference(superposition,[status(thm)],[c_165160,c_108930]) ).
tcf(c_198664,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(light_normalisation,[status(thm)],[c_198663,c_165193]) ).
tcf(c_198667,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_106433,c_198664]) ).
tcf(c_198668,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X1) = X1,
inference(demodulation,[status(thm)],[c_155456,c_198664]) ).
tcf(c_198676,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(demodulation,[status(thm)],[c_165041,c_198664]) ).
tcf(c_198682,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = multiply(inverse(X2),X1),
inference(demodulation,[status(thm)],[c_108963,c_198676]) ).
tcf(c_198686,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(demodulation,[status(thm)],[c_148047,c_198682]) ).
tcf(c_198698,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(demodulation,[status(thm)],[c_108954,c_198686]) ).
tcf(c_198712,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))) = X0,
inference(demodulation,[status(thm)],[c_109727,c_198668]) ).
tcf(c_199990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(inverse(X0),X1),multiply(inverse(multiply(X2,X1)),X3)) = multiply(inverse(multiply(X2,X0)),X3),
inference(demodulation,[status(thm)],[c_107715,c_198668,c_198698,c_198712]) ).
tcf(c_200051,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X1)),X2) = multiply(multiply(inverse(X1),X0),X2),
inference(superposition,[status(thm)],[c_198686,c_199990]) ).
tcf(c_202668,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X1) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_198712,c_198698]) ).
tcf(c_202771,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_198698,c_198676]) ).
tcf(c_202773,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_202668,c_198668]) ).
tcf(c_202832,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_198698,c_202773]) ).
tcf(c_202839,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X1)),X2) = multiply(inverse(X1),multiply(X0,X2)),
inference(superposition,[status(thm)],[c_202773,c_198698]) ).
tcf(c_202847,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X1),X2) = multiply(inverse(X0),multiply(X1,X2)),
inference(light_normalisation,[status(thm)],[c_202839,c_200051,c_202771]) ).
tcf(c_202850,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_198664,c_202847]) ).
tcf(c_205448,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_202850,c_202832]) ).
tcf(c_205481,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_198667,c_205448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 13:20:29 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 121.64/20.49 % SZS status Started for theBenchmark.p
% 121.64/20.49 ERROR - "ProverProcess:heur/445550:16.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) | multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )")
% 121.64/20.49 Fatal error: exception Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) | multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )")
% 121.64/20.49 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode time_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 1.6084091637003026 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd false --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red true --prep_gs_sim false --prep_res_sim true --prep_sem_filter neg --prep_sup_sim_all true --prep_sup_sim_sup true --prep_unflatten true --prep_upred false --preprocessing_flag true --prolific_symb_bound 32768 --prop_solver_per_cl 4096 --pure_diseq_elim false --res_backward_subs subset_subsumption --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution false --res_lit_sel adaptive --res_lit_sel_side num_var --res_ordering kbo --res_passive_queue_type stack --res_passive_queues "[[-num_lits;+conj_symb;-num_symb];[-num_lits;+min_def_symb]]" --res_passive_queues_freq "[1;3]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input false --res_time_limit 202.19 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl true --splitting_grd true --splitting_mode input --splitting_nvd 16 --stats_out none --sub_typing false --subs_bck_mult 1 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[DemodLightNormLoopTriv;ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.9903106699302947 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 5.33" --time_out_real 16.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_wzurbt51/0ak5lx24 2>> /export/starexec/sandbox2/tmp/iprover_out_wzurbt51/0ak5lx24_error
% 121.64/20.49 % SZS status Unsatisfiable for theBenchmark.p
% 121.64/20.49
% 121.64/20.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 121.64/20.49
% 121.64/20.49 % ------ iProver source info
% 121.64/20.49
% 121.64/20.49 % git: date: 2026-07-19 20:42:38 +0200
% 121.64/20.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 121.64/20.49 % git: non_committed_changes: false
% 121.64/20.49
% 121.64/20.49 % ------ Parsing...% successful
% 121.64/20.49
% 121.64/20.49
% 121.64/20.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 121.64/20.49
% 121.64/20.49 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 121.64/20.49
% 121.64/20.49 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 121.64/20.49
% 121.64/20.49 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 121.64/20.49 % ------ Proving...
% 121.64/20.49 % ------ Problem Properties
% 121.64/20.49
% 121.64/20.49 %
% 121.64/20.49 % clauses 2
% 121.64/20.49 % conjectures 1
% 121.64/20.49 % EPR 0
% 121.64/20.49 % Horn 2
% 121.64/20.49 % unary 1
% 121.64/20.49 % binary 0
% 121.64/20.49 % lits 4
% 121.64/20.49 % lits eq 4
% 121.64/20.49 % fd_pure 0
% 121.64/20.49 % fd_pseudo 0
% 121.64/20.49 % fd_cond 0
% 121.64/20.49 % fd_pseudo_cond 0
% 121.64/20.49 % AC symbols 0
% 121.64/20.49
% 121.64/20.49 % ------ Schedule dynamic 5 is on
% 121.64/20.49
% 121.64/20.49 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 121.64/20.49
% 121.64/20.49
% 121.64/20.49 % ------
% 121.64/20.49 % Current options:
% 121.64/20.49 % ------
% 121.64/20.49
% 121.64/20.49
% 121.64/20.49 %
% 121.64/20.49
% 121.64/20.49 % ------ Proving...
% 121.64/20.49 % Proof_search_loop: time out after: 2152 full_loop iterations
% 121.64/20.49
% 121.64/20.49 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 121.64/20.49
% 121.64/20.49
% 121.64/20.49 % ------
% 121.64/20.49 % Current options:
% 121.64/20.49 % ------
% 121.64/20.49
% 121.64/20.49
% 121.64/20.49 %
% 121.64/20.49
% 121.64/20.49 % ------ Proving...
% 121.64/20.49 %
% 121.64/20.49
% 121.64/20.49 % SZS status Unsatisfiable for theBenchmark.p
% 121.64/20.49
% 121.64/20.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 121.64/20.49
% 121.64/20.49
%------------------------------------------------------------------------------