%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP057-1 : TPTP v9.3.1. Released v1.0.0.
% 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 01:30:25 PM UTC 2026
% Result : Unsatisfiable 54.57s 13.44s
% Output : CNFRefutation 54.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 2
% Syntax : Number of formulae : 102 ( 98 unt; 0 def)
% Number of atoms : 109 ( 108 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 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 : 300 ( 0 sgn 300 !; 0 ?; 296 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
file('/export/starexec/sandbox/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/sandbox/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,X3: $i] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),X2))),X3),inverse(multiply(X0,X3)))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X4),X2)),X5),inverse(multiply(X4,X5))))),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))) = X2,
inference(superposition,[status(thm)],[c_108,c_52]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),multiply(inverse(X1),X2)))),X3),inverse(multiply(X0,X3)))) = X2,
inference(superposition,[status(thm)],[c_108,c_52]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),inverse(multiply(X0,X2)))) = multiply(X3,inverse(multiply(multiply(inverse(X1),X4),inverse(multiply(inverse(X3),X4))))),
inference(superposition,[status(thm)],[c_142,c_52]) ).
tcf(c_399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),multiply(X1,X2)))),X3),inverse(multiply(X0,X3)))) = X2,
inference(superposition,[status(thm)],[c_152,c_152]) ).
tcf(c_451,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(inverse(X2),multiply(X2,X1)),
inference(superposition,[status(thm)],[c_399,c_142]) ).
tcf(c_567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X3),inverse(multiply(inverse(X0),X3))))) = X2,
inference(superposition,[status(thm)],[c_451,c_52]) ).
tcf(c_580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X3,multiply(multiply(inverse(X3),X4),X2))))))) = X4,
inference(superposition,[status(thm)],[c_451,c_142]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))),X3),inverse(multiply(inverse(X1),X3)))) = X2,
inference(superposition,[status(thm)],[c_451,c_399]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,X2))) = multiply(inverse(X3),multiply(X3,multiply(X0,X2))),
inference(superposition,[status(thm)],[c_451,c_451]) ).
tcf(c_726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(inverse(X1)),multiply(inverse(X2),multiply(X2,X3)))),X4),inverse(multiply(inverse(X0),X4))))) = multiply(X1,X3),
inference(superposition,[status(thm)],[c_587,c_52]) ).
tcf(c_753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,X2))) = multiply(inverse(inverse(X0)),multiply(inverse(X3),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_587,c_587]) ).
tcf(c_1270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(inverse(X0),multiply(multiply(inverse(X3),multiply(X3,X4)),X2)))))) = X4,
inference(superposition,[status(thm)],[c_451,c_567]) ).
tcf(c_2265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(inverse(X1),multiply(X1,X2))) = multiply(inverse(X0),multiply(inverse(X3),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_399,c_753]) ).
tcf(c_2433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(inverse(X1),multiply(X1,X2))) = multiply(X0,multiply(inverse(X3),multiply(X3,X2))),
inference(superposition,[status(thm)],[c_399,c_2265]) ).
tcf(c_5415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(multiply(inverse(X2),multiply(X2,X3)),inverse(multiply(inverse(X4),multiply(X4,X3)))))) = X1,
inference(superposition,[status(thm)],[c_451,c_1270]) ).
tcf(c_10719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X1),X3))))))) = X2,
inference(superposition,[status(thm)],[c_297,c_580]) ).
tcf(c_10723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X0),X2)),X3),inverse(multiply(inverse(X1),X3)))))) = X2,
inference(superposition,[status(thm)],[c_297,c_1270]) ).
tcf(c_11918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X0),X3))))))) = X2,
inference(superposition,[status(thm)],[c_10719,c_2433]) ).
tcf(c_12662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(multiply(inverse(multiply(inverse(inverse(X0)),X1)),X2),inverse(multiply(inverse(inverse(X3)),X2)))) = multiply(X3,inverse(multiply(multiply(inverse(X1),X4),inverse(multiply(X0,X4))))),
inference(superposition,[status(thm)],[c_10723,c_52]) ).
tcf(c_14167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(inverse(X1),multiply(X1,inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(X0,X3))))))) = X2,
inference(superposition,[status(thm)],[c_399,c_11918]) ).
tcf(c_14449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(X2,X1)))) = inverse(multiply(multiply(inverse(X0),X3),inverse(multiply(X2,X3)))),
inference(superposition,[status(thm)],[c_14167,c_399]) ).
tcf(c_17035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(multiply(X0,X1),inverse(multiply(X2,X1)))) = inverse(multiply(multiply(X0,X3),inverse(multiply(X2,X3)))),
inference(superposition,[status(thm)],[c_399,c_14449]) ).
tcf(c_17380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : inverse(multiply(X0,inverse(multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),multiply(inverse(X3),X0))),X4),inverse(multiply(X2,X4)))))))) = inverse(multiply(multiply(X3,X5),inverse(multiply(X1,X5)))),
inference(superposition,[status(thm)],[c_52,c_17035]) ).
tcf(c_19640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(multiply(inverse(X2),X3),inverse(multiply(inverse(X2),X3))))) = X1,
inference(superposition,[status(thm)],[c_17035,c_5415]) ).
tcf(c_19811,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(X0)),multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2)) = X0,
inference(superposition,[status(thm)],[c_5415,c_14167]) ).
tcf(c_33998,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X2,inverse(X2)))) = X1,
inference(superposition,[status(thm)],[c_19811,c_19640]) ).
tcf(c_34193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(inverse(X0)),multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2)) = multiply(inverse(X3),multiply(X3,multiply(X0,inverse(multiply(X4,inverse(X4)))))),
inference(superposition,[status(thm)],[c_33998,c_587]) ).
tcf(c_34232,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(X2,inverse(X2)))))) = X1,
inference(light_normalisation,[status(thm)],[c_34193,c_19811]) ).
tcf(c_34699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3))))) = multiply(X0,multiply(X2,inverse(multiply(X4,inverse(X4))))),
inference(superposition,[status(thm)],[c_34232,c_52]) ).
tcf(c_34819,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = multiply(X0,inverse(multiply(X2,inverse(X2)))),
inference(superposition,[status(thm)],[c_34232,c_33998]) ).
tcf(c_34838,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(inverse(X0),X1),inverse(multiply(inverse(X0),X1)))) = inverse(multiply(X2,inverse(X2))),
inference(superposition,[status(thm)],[c_34232,c_585]) ).
tcf(c_34855,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(X1,inverse(multiply(X2,inverse(X2)))))) = X0,
inference(superposition,[status(thm)],[c_34232,c_2433]) ).
tcf(c_35711,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(inverse(X0),X1),inverse(multiply(X2,inverse(X2))))) = X1,
inference(superposition,[status(thm)],[c_34819,c_10723]) ).
tcf(c_38056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(inverse(inverse(X1))),multiply(inverse(X0),X2))),multiply(inverse(X3),multiply(X3,inverse(multiply(X4,inverse(X4)))))),inverse(X1)))) = X2,
inference(superposition,[status(thm)],[c_34855,c_52]) ).
tcf(c_39294,plain,
! [X0: $i,X1: $i] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[status(thm)],[c_34838,c_34838]) ).
tcf(c_39670,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))) = inverse(multiply(X2,inverse(X2))),
inference(superposition,[status(thm)],[c_39294,c_39294]) ).
tcf(c_39702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(multiply(X2,inverse(X2))),X3))),X4),inverse(multiply(X1,X4))))) = X3,
inference(superposition,[status(thm)],[c_39294,c_52]) ).
tcf(c_39760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(X1,inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(multiply(inverse(X1),X3)))))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_39294,c_10723]) ).
tcf(c_40448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),multiply(inverse(X0),X2))),inverse(multiply(X3,inverse(X3)))),inverse(multiply(X4,inverse(X4)))))) = X2,
inference(superposition,[status(thm)],[c_39670,c_52]) ).
tcf(c_40481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(multiply(inverse(multiply(X2,inverse(X2))),X3),inverse(multiply(inverse(X1),X3))))))) = multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,inverse(X5)))),
inference(superposition,[status(thm)],[c_39670,c_10719]) ).
tcf(c_40676,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))) = multiply(inverse(X2),inverse(inverse(X2))),
inference(light_normalisation,[status(thm)],[c_40481,c_39760]) ).
tcf(c_43676,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))) = multiply(X2,inverse(X2)),
inference(superposition,[status(thm)],[c_399,c_40676]) ).
tcf(c_44065,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_43676,c_43676]) ).
tcf(c_44067,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_43676,c_35711]) ).
tcf(c_52174,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X2,inverse(X2)),X1),
inference(superposition,[status(thm)],[c_39702,c_726]) ).
tcf(c_55203,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,inverse(X1))) = inverse(inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_44067,c_451]) ).
tcf(c_55216,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(inverse(X1),multiply(X1,inverse(X2)))) = multiply(X0,inverse(inverse(inverse(X2)))),
inference(superposition,[status(thm)],[c_44067,c_2433]) ).
tcf(c_57034,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_399,c_55203]) ).
tcf(c_57192,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),multiply(inverse(inverse(inverse(X1))),X1)) = X0,
inference(demodulation,[status(thm)],[c_19811,c_57034]) ).
tcf(c_57201,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),inverse(multiply(X1,inverse(X1)))) = X0,
inference(demodulation,[status(thm)],[c_33998,c_57034]) ).
tcf(c_57308,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),inverse(inverse(X1))) = inverse(inverse(multiply(X0,X1))),
inference(superposition,[status(thm)],[c_57034,c_57034]) ).
tcf(c_58372,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),inverse(inverse(multiply(X1,inverse(X1))))) = X0,
inference(superposition,[status(thm)],[c_57201,c_57192]) ).
tcf(c_59199,plain,
! [X0: $i] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(demodulation,[status(thm)],[c_58372,c_44067,c_57308]) ).
tcf(c_59229,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(inverse(X0))),X0) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_59199,c_44065]) ).
tcf(c_59256,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_59199,c_57201]) ).
tcf(c_59266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3))))) = multiply(X0,inverse(inverse(X2))),
inference(demodulation,[status(thm)],[c_34699,c_59256]) ).
tcf(c_59268,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(inverse(multiply(inverse(X0),X1)))) = X1,
inference(demodulation,[status(thm)],[c_35711,c_59256]) ).
tcf(c_59609,plain,
! [X0: $i,X1: $i] : inverse(inverse(multiply(inverse(inverse(X0)),X1))) = multiply(X0,inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_59268,c_59268]) ).
tcf(c_59770,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(inverse(inverse(inverse(inverse(X0)))))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[status(thm)],[c_59256,c_59268]) ).
tcf(c_59775,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(X0,X1),inverse(multiply(X2,X1)))) = inverse(inverse(inverse(multiply(X0,inverse(X2))))),
inference(superposition,[status(thm)],[c_59256,c_17035]) ).
tcf(c_59785,plain,
! [X0: $i,X1: $i] : inverse(multiply(X0,inverse(X0))) = multiply(X1,inverse(X1)),
inference(light_normalisation,[status(thm)],[c_59770,c_59199]) ).
tcf(c_59865,plain,
! [X0: $i,X1: $i] : inverse(inverse(inverse(multiply(X0,inverse(X0))))) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_59785,c_59199]) ).
tcf(c_59881,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(inverse(X0))),X0) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[status(thm)],[c_59785,c_59229]) ).
tcf(c_61565,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,inverse(X1)))))) = inverse(inverse(inverse(X0))),
inference(superposition,[status(thm)],[c_59865,c_57034]) ).
tcf(c_61782,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),inverse(inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(superposition,[status(thm)],[c_59199,c_59881]) ).
tcf(c_64227,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(X0))),X1) = multiply(multiply(X2,inverse(X2)),X1),
inference(superposition,[status(thm)],[c_61782,c_52174]) ).
tcf(c_65918,plain,
! [X0: $i,X1: $i] : inverse(inverse(inverse(inverse(multiply(X0,X1))))) = multiply(X0,inverse(inverse(inverse(inverse(X1))))),
inference(superposition,[status(thm)],[c_57308,c_59609]) ).
tcf(c_80153,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(inverse(multiply(inverse(multiply(X1,inverse(X1))),multiply(inverse(X0),X2))))) = X2,
inference(demodulation,[status(thm)],[c_40448,c_59199,c_59256,c_65918]) ).
tcf(c_80297,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X0))),X1) = X1,
inference(superposition,[status(thm)],[c_80153,c_59268]) ).
tcf(c_80309,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(demodulation,[status(thm)],[c_64227,c_80297]) ).
tcf(c_80654,plain,
! [X0: $i,X1: $i] : inverse(inverse(multiply(inverse(multiply(X0,inverse(X0))),X1))) = X1,
inference(superposition,[status(thm)],[c_80309,c_59268]) ).
tcf(c_80662,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80654,c_80297]) ).
tcf(c_80675,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_57034,c_80662]) ).
tcf(c_80687,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(demodulation,[status(thm)],[c_44067,c_80662]) ).
tcf(c_80688,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_59268,c_80662]) ).
tcf(c_80752,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_80662,c_80309]) ).
tcf(c_80756,plain,
( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_80752]) ).
tcf(c_80819,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[status(thm)],[c_80662,c_80687]) ).
tcf(c_80884,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_80819,c_80752]) ).
tcf(c_80885,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_80756,c_80884]) ).
tcf(c_81424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(multiply(inverse(multiply(X0,X1)),X2),inverse(multiply(inverse(inverse(X3)),X2)))) = multiply(X3,inverse(multiply(multiply(inverse(X1),X4),inverse(multiply(X0,X4))))),
inference(light_normalisation,[status(thm)],[c_12662,c_80662]) ).
tcf(c_81425,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(X0,X1)),inverse(X2))) = multiply(X2,inverse(multiply(inverse(X1),inverse(X0)))),
inference(demodulation,[status(thm)],[c_81424,c_59775,c_80662]) ).
tcf(c_81452,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),inverse(multiply(inverse(X1),inverse(X2)))) = inverse(multiply(inverse(multiply(X2,X1)),X0)),
inference(superposition,[status(thm)],[c_80662,c_81425]) ).
tcf(c_81583,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),X2)),X1)))) = X2,
inference(demodulation,[status(thm)],[c_38056,c_55216,c_61565,c_80662,c_81425,c_81452]) ).
tcf(c_81634,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(multiply(inverse(inverse(X0)),X1)),X0)) = X1,
inference(superposition,[status(thm)],[c_81583,c_80675]) ).
tcf(c_81640,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(multiply(X0,X1)),X0)) = X1,
inference(light_normalisation,[status(thm)],[c_81634,c_80662]) ).
tcf(c_82259,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_81640,c_80662]) ).
tcf(c_82484,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_82259,c_80688]) ).
tcf(c_82485,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),inverse(multiply(X1,X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_82259,c_82259]) ).
tcf(c_82494,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_82485,c_80662]) ).
tcf(c_82551,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_80662,c_82484]) ).
tcf(c_82652,plain,
! [X0: $i,X1: $i] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(superposition,[status(thm)],[c_82551,c_82494]) ).
tcf(c_87565,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,multiply(inverse(X1),X2)),inverse(X2)) = multiply(X0,inverse(X1)),
inference(demodulation,[status(thm)],[c_17380,c_59266,c_59775,c_80662,c_82652]) ).
tcf(c_87590,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,multiply(X1,X2)),inverse(X2)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_80662,c_87565]) ).
tcf(c_87736,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_87590,c_82551]) ).
tcf(c_87746,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_80885,c_87736]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP057-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n006.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Wed Sep 23 13:24:47 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.45 % Proving...
% 54.57/13.44 % SZS status Started for theBenchmark.p
% 54.57/13.44 % SZS status Unsatisfiable for theBenchmark.p
% 54.57/13.44
% 54.57/13.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 54.57/13.44
% 54.57/13.44 % ------ iProver source info
% 54.57/13.44
% 54.57/13.44 % git: date: 2026-07-19 20:42:38 +0200
% 54.57/13.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 54.57/13.44 % git: non_committed_changes: false
% 54.57/13.44
% 54.57/13.44 % ------ Parsing...% successful
% 54.57/13.44
% 54.57/13.44
% 54.57/13.44 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 54.57/13.44
% 54.57/13.44 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 54.57/13.44
% 54.57/13.44 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 54.57/13.44
% 54.57/13.44 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 54.57/13.44 % ------ Proving...
% 54.57/13.44 % ------ Problem Properties
% 54.57/13.44
% 54.57/13.44 %
% 54.57/13.44 % clauses 2
% 54.57/13.44 % conjectures 1
% 54.57/13.44 % EPR 0
% 54.57/13.44 % Horn 2
% 54.57/13.44 % unary 1
% 54.57/13.44 % binary 0
% 54.57/13.44 % lits 4
% 54.57/13.44 % lits eq 4
% 54.57/13.44 % fd_pure 0
% 54.57/13.44 % fd_pseudo 0
% 54.57/13.44 % fd_cond 0
% 54.57/13.44 % fd_pseudo_cond 0
% 54.57/13.44 % AC symbols 0
% 54.57/13.44
% 54.57/13.44 % ------ Schedule dynamic 5 is on
% 54.57/13.44
% 54.57/13.44 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 54.57/13.44
% 54.57/13.44
% 54.57/13.44 % ------
% 54.57/13.44 % Current options:
% 54.57/13.44 % ------
% 54.57/13.44
% 54.57/13.44
% 54.57/13.44 %
% 54.57/13.44
% 54.57/13.44 % ------ Proving...
% 54.57/13.44 %
% 54.57/13.44
% 54.57/13.44 % SZS status Unsatisfiable for theBenchmark.p
% 54.57/13.44
% 54.57/13.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.57/13.44
% 54.57/13.44
%------------------------------------------------------------------------------