%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP515-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.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 01:34:37 PM UTC 2026
% Result : Unsatisfiable 3.69s 1.32s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 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 : 61 ( 0 sgn 61 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
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_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2))))))) = X3,
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_51,c_93]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_97,c_93]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X1,multiply(X2,inverse(X0))),inverse(X2))) = X1,
inference(superposition,[status(thm)],[c_116,c_51]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[status(thm)],[c_116,c_93]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,X1),multiply(multiply(X2,multiply(X3,inverse(multiply(X3,X1)))),inverse(X0))) = X2,
inference(superposition,[status(thm)],[c_134,c_51]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(X2,inverse(X0))) = multiply(X2,X1),
inference(superposition,[status(thm)],[c_134,c_93]) ).
tcf(c_272,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X1,X2),inverse(X1))) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_165,c_132]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(superposition,[status(thm)],[c_272,c_165]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X1,inverse(X0)),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_327,c_116]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(multiply(X0,inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_382,c_97]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_441,c_116]) ).
tcf(c_518,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_472,c_327]) ).
tcf(c_532,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_518,c_382]) ).
tcf(c_533,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_518,c_116]) ).
tcf(c_539,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,multiply(X2,inverse(X1)))) = multiply(X2,X0),
inference(demodulation,[status(thm)],[c_165,c_532]) ).
tcf(c_540,plain,
multiply(a3,multiply(b3,c3)) != multiply(b3,multiply(a3,c3)),
inference(demodulation,[status(thm)],[c_52,c_532]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_533,c_116]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,X1))) = X2,
inference(demodulation,[status(thm)],[c_163,c_532,c_539]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_660,c_590]) ).
tcf(c_1809,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_693,c_533]) ).
tcf(c_1818,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_540,c_1809]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP515-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 15:00:40 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running UEQ theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 3.69/1.32 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.69/1.32 % SZS status Started for theBenchmark.p
% 3.69/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.69/1.32
% 3.69/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.69/1.32
% 3.69/1.32 % ------ iProver source info
% 3.69/1.32
% 3.69/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.69/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.69/1.32 % git: non_committed_changes: false
% 3.69/1.32
% 3.69/1.32 % ------ Parsing...% successful
% 3.69/1.32
% 3.69/1.32
% 3.69/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.69/1.32
% 3.69/1.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.69/1.32
% 3.69/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.69/1.32
% 3.69/1.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.69/1.32 % ------ Proving...
% 3.69/1.32 % ------ Problem Properties
% 3.69/1.32
% 3.69/1.32 %
% 3.69/1.32 % clauses 2
% 3.69/1.32 % conjectures 1
% 3.69/1.32 % EPR 0
% 3.69/1.32 % Horn 2
% 3.69/1.32 % unary 2
% 3.69/1.32 % binary 0
% 3.69/1.32 % lits 2
% 3.69/1.32 % lits eq 2
% 3.69/1.32 % fd_pure 0
% 3.69/1.32 % fd_pseudo 0
% 3.69/1.32 % fd_cond 0
% 3.69/1.32 % fd_pseudo_cond 0
% 3.69/1.32 % AC symbols 0
% 3.69/1.32
% 3.69/1.32 % ------ Input Options Time Limit: Unbounded
% 3.69/1.32
% 3.69/1.32
% 3.69/1.32 % ------
% 3.69/1.32 % Current options:
% 3.69/1.32 % ------
% 3.69/1.32
% 3.69/1.32
% 3.69/1.32 %
% 3.69/1.32
% 3.69/1.32 % ------ Proving...
% 3.69/1.32 %
% 3.69/1.32
% 3.69/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 3.69/1.32
% 3.69/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.69/1.32
% 3.69/1.32
%------------------------------------------------------------------------------