%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP405-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 01:33:40 PM UTC 2026
% Result : Unsatisfiable 26.34s 9.57s
% Output : CNFRefutation 26.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 2
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 10 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 150 ( 0 sgn 150 !; 0 ?; 147 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(X1),X1)))))),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),inverse(multiply(X1,multiply(inverse(X1),X1))))))) = X2,
inference(superposition,[status(thm)],[c_94,c_51]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(multiply(X0,X1)),X3))),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X3,
inference(superposition,[status(thm)],[c_94,c_51]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),inverse(multiply(X1,multiply(inverse(X1),X1))))) = X2,
inference(superposition,[status(thm)],[c_131,c_131]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,inverse(multiply(multiply(X0,X2),multiply(inverse(multiply(X0,X2)),multiply(X0,X2))))))) = inverse(multiply(X1,multiply(inverse(X1),X1))),
inference(superposition,[status(thm)],[c_337,c_51]) ).
tcf(c_383,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_337,c_120]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X1),X1))))),multiply(X0,X2)) = multiply(X3,multiply(inverse(multiply(inverse(multiply(X4,X1)),multiply(X4,X3))),X2)),
inference(superposition,[status(thm)],[c_337,c_383]) ).
tcf(c_550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(multiply(X1,X2),multiply(inverse(multiply(X4,X2)),multiply(X4,X2)))))))) = X3,
inference(superposition,[status(thm)],[c_383,c_120]) ).
tcf(c_1394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3)) = multiply(X4,multiply(inverse(multiply(inverse(multiply(X5,X2)),multiply(X5,X4))),X3)),
inference(superposition,[status(thm)],[c_510,c_510]) ).
tcf(c_3551,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),inverse(multiply(X1,multiply(inverse(X1),X1)))) = X2,
inference(superposition,[status(thm)],[c_372,c_550]) ).
tcf(c_3856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),inverse(multiply(X2,multiply(inverse(X2),X2))))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_3551,c_1394]) ).
tcf(c_4254,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_3856,c_3856]) ).
tcf(c_4701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),inverse(multiply(X1,multiply(inverse(X3),X3))))))) = X2,
inference(superposition,[status(thm)],[c_4254,c_120]) ).
tcf(c_4736,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,multiply(inverse(X1),X1))))) = X1,
inference(superposition,[status(thm)],[c_4254,c_337]) ).
tcf(c_4746,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_4254,c_383]) ).
tcf(c_4789,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),multiply(inverse(inverse(X1)),inverse(X1))))) = X1,
inference(superposition,[status(thm)],[c_4254,c_3551]) ).
tcf(c_4863,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_4254,c_4736]) ).
tcf(c_4919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(X0,multiply(inverse(X2),X2))))) = multiply(inverse(X3),X3),
inference(superposition,[status(thm)],[c_4863,c_4254]) ).
tcf(c_5855,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_4254,c_4789]) ).
tcf(c_5908,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_4254,c_5855]) ).
tcf(c_6041,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(X1),X1)),
inference(superposition,[status(thm)],[c_5908,c_4863]) ).
tcf(c_6232,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_6041,c_6041]) ).
tcf(c_6236,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_6041,c_4254]) ).
tcf(c_8790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),X2)))) = inverse(multiply(X1,multiply(inverse(X3),X3))),
inference(superposition,[status(thm)],[c_4254,c_4701]) ).
tcf(c_16411,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_8790,c_4919]) ).
tcf(c_16414,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_8790,c_6236]) ).
tcf(c_17764,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_16414,c_5908]) ).
tcf(c_17765,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),multiply(inverse(X2),X2)))) = X1,
inference(superposition,[status(thm)],[c_16414,c_5855]) ).
tcf(c_17792,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_16414,c_6232]) ).
tcf(c_18384,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_17792,c_16411]) ).
tcf(c_18510,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X1)) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_17792,c_4746]) ).
tcf(c_29119,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_18510,c_17765]) ).
tcf(c_61770,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1)))),X2) = X2,
inference(superposition,[status(thm)],[c_29119,c_4701]) ).
tcf(c_62020,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_18384,c_61770]) ).
tcf(c_62027,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_17764,c_61770]) ).
tcf(c_62423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1)))),X2)),X3) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(superposition,[status(thm)],[c_61770,c_383]) ).
tcf(c_62541,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(light_normalisation,[status(thm)],[c_62423,c_61770]) ).
tcf(c_62560,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(demodulation,[status(thm)],[c_5855,c_62027]) ).
tcf(c_67283,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = multiply(X2,multiply(inverse(X2),X1)),
inference(superposition,[status(thm)],[c_62560,c_62541]) ).
tcf(c_67425,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_62541,c_62560]) ).
tcf(c_67427,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_67283,c_62027]) ).
tcf(c_67506,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_62541,c_67427]) ).
tcf(c_67514,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_67427,c_62541]) ).
tcf(c_67523,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_67514,c_67425]) ).
tcf(c_67527,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_62020,c_67523]) ).
tcf(c_68140,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_67527,c_67506]) ).
tcf(c_68163,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_68140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP405-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.20/0.45 % Computer : n009.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Wed Sep 23 14:41:00 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.24/0.52 Running UEQ theorem proving
% 0.24/0.52 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.54
% 0.24/0.54 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.54
% 0.24/0.54 % Detected problem language: tptp
% 0.24/0.56 % Proving...
% 26.34/9.57 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 26.34/9.57 % SZS status Started for theBenchmark.p
% 26.34/9.57 % SZS status Unsatisfiable for theBenchmark.p
% 26.34/9.57
% 26.34/9.57 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.34/9.57
% 26.34/9.57 % ------ iProver source info
% 26.34/9.57
% 26.34/9.57 % git: date: 2026-07-19 20:42:38 +0200
% 26.34/9.57 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.34/9.57 % git: non_committed_changes: false
% 26.34/9.57
% 26.34/9.57 % ------ Parsing...% successful
% 26.34/9.57
% 26.34/9.57
% 26.34/9.57 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 26.34/9.57
% 26.34/9.57 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 26.34/9.57
% 26.34/9.57 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 26.34/9.57
% 26.34/9.57 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 26.34/9.57 % ------ Proving...
% 26.34/9.57 % ------ Problem Properties
% 26.34/9.57
% 26.34/9.57 %
% 26.34/9.57 % clauses 2
% 26.34/9.57 % conjectures 1
% 26.34/9.57 % EPR 0
% 26.34/9.57 % Horn 2
% 26.34/9.57 % unary 2
% 26.34/9.57 % binary 0
% 26.34/9.57 % lits 2
% 26.34/9.57 % lits eq 2
% 26.34/9.57 % fd_pure 0
% 26.34/9.57 % fd_pseudo 0
% 26.34/9.57 % fd_cond 0
% 26.34/9.57 % fd_pseudo_cond 0
% 26.34/9.57 % AC symbols 0
% 26.34/9.57
% 26.34/9.57 % ------ Input Options Time Limit: Unbounded
% 26.34/9.57
% 26.34/9.57
% 26.34/9.57 % ------
% 26.34/9.57 % Current options:
% 26.34/9.57 % ------
% 26.34/9.57
% 26.34/9.57
% 26.34/9.57 %
% 26.34/9.57
% 26.34/9.57 % ------ Proving...
% 26.34/9.57 %
% 26.34/9.57
% 26.34/9.57 % SZS status Unsatisfiable for theBenchmark.p
% 26.34/9.57
% 26.34/9.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.34/9.57
% 26.34/9.57
%------------------------------------------------------------------------------