%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP511-1 : 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 2.77s 1.27s
% Output : CNFRefutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 59 ( 0 sgn 59 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,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(multiply(multiply(X0,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_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,X1),inverse(multiply(multiply(multiply(X2,X0),X3),X1))) = inverse(multiply(X2,X3)),
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(multiply(X1,X0),inverse(multiply(X1,X2))))) = X2,
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,inverse(multiply(X1,X2))),inverse(X0)) = inverse(multiply(X1,X2)),
inference(superposition,[status(thm)],[c_51,c_94]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(X0,multiply(X1,inverse(multiply(multiply(X0,X1),X2))))) = X2,
inference(superposition,[status(thm)],[c_94,c_95]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_137,c_122]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_265,c_51]) ).
tcf(c_500,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(superposition,[status(thm)],[c_306,c_265]) ).
tcf(c_772,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(multiply(X0,inverse(X0)),X1),X2),inverse(X2)) = X1,
inference(superposition,[status(thm)],[c_500,c_51]) ).
tcf(c_780,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(light_normalisation,[status(thm)],[c_772,c_500]) ).
tcf(c_811,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(inverse(multiply(X1,X2)))) = multiply(multiply(X1,X0),X2),
inference(superposition,[status(thm)],[c_51,c_780]) ).
tcf(c_813,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(inverse(X1))) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_265,c_780]) ).
tcf(c_834,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_780,c_500]) ).
tcf(c_931,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[status(thm)],[c_834,c_265]) ).
tcf(c_932,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_834,c_780]) ).
tcf(c_1047,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_931,c_932]) ).
tcf(c_1053,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(light_normalisation,[status(thm)],[c_1047,c_834]) ).
tcf(c_1054,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(demodulation,[status(thm)],[c_52,c_1053]) ).
tcf(c_1106,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(demodulation,[status(thm)],[c_811,c_813]) ).
tcf(c_1128,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(multiply(X1,X2),X0),
inference(superposition,[status(thm)],[c_1053,c_1106]) ).
tcf(c_1149,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_1106,c_1053]) ).
tcf(c_1621,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(light_normalisation,[status(thm)],[c_1128,c_1149]) ).
tcf(c_1654,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(superposition,[status(thm)],[c_1621,c_1053]) ).
tcf(c_1670,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(demodulation,[status(thm)],[c_1054,c_1654]) ).
tcf(c_1672,plain,
$false,
inference(ground_joinability,[status(thm)],[c_1670,c_1053]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP511-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Wed Sep 23 15:00:25 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.39 Running UEQ theorem proving
% 0.03/0.39 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
% 0.03/0.40
% 0.03/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.40
% 0.03/0.40 % Detected problem language: tptp
% 0.03/0.42 % Proving...
% 2.77/1.27 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.77/1.27 % SZS status Started for theBenchmark.p
% 2.77/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.77/1.27
% 2.77/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.77/1.27
% 2.77/1.27 % ------ iProver source info
% 2.77/1.27
% 2.77/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 2.77/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.77/1.27 % git: non_committed_changes: false
% 2.77/1.27
% 2.77/1.27 % ------ Parsing...% successful
% 2.77/1.27
% 2.77/1.27
% 2.77/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.77/1.27
% 2.77/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.77/1.27
% 2.77/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.77/1.27
% 2.77/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.77/1.27 % ------ Proving...
% 2.77/1.27 % ------ Problem Properties
% 2.77/1.27
% 2.77/1.27 %
% 2.77/1.27 % clauses 2
% 2.77/1.27 % conjectures 1
% 2.77/1.27 % EPR 0
% 2.77/1.27 % Horn 2
% 2.77/1.27 % unary 2
% 2.77/1.27 % binary 0
% 2.77/1.27 % lits 2
% 2.77/1.27 % lits eq 2
% 2.77/1.27 % fd_pure 0
% 2.77/1.27 % fd_pseudo 0
% 2.77/1.27 % fd_cond 0
% 2.77/1.27 % fd_pseudo_cond 0
% 2.77/1.27 % AC symbols 0
% 2.77/1.27
% 2.77/1.27 % ------ Input Options Time Limit: Unbounded
% 2.77/1.27
% 2.77/1.27
% 2.77/1.27 % ------
% 2.77/1.27 % Current options:
% 2.77/1.27 % ------
% 2.77/1.27
% 2.77/1.27
% 2.77/1.27 %
% 2.77/1.27
% 2.77/1.27 % ------ Proving...
% 2.77/1.27 %
% 2.77/1.27
% 2.77/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 2.77/1.27
% 2.77/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.77/1.27
% 2.77/1.27
%------------------------------------------------------------------------------