%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 01:31:47 PM UTC 2026
% Result : Unsatisfiable 3.12s 1.25s
% Output : CNFRefutation 3.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP008-0.ax',associativity_of_multiply) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,multiply(X1,X1)) = multiply(X1,multiply(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f3,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X0,X1)) = multiply(X1,multiply(X0,X0)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) != multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(X0,multiply(X1,X2))) = multiply(X2,multiply(multiply(X0,X1),multiply(X0,X1))),
inference(superposition,[status(thm)],[c_52,c_53]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,multiply(X1,X1)),X2) = multiply(X1,multiply(multiply(X1,X0),X2)),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X0,multiply(X1,X2))) = multiply(X1,multiply(X0,multiply(X0,X2))),
inference(demodulation,[status(thm)],[c_100,c_52]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X2,X3))))) = multiply(X2,multiply(X0,multiply(X0,multiply(X2,multiply(X1,X3))))),
inference(superposition,[status(thm)],[c_112,c_112]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2)))) = multiply(X2,multiply(X0,multiply(X1,multiply(X0,X1)))),
inference(demodulation,[status(thm)],[c_96,c_52]) ).
tcf(c_342,plain,
multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) != multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))))),
inference(demodulation,[status(thm)],[c_54,c_341]) ).
tcf(c_343,plain,
$false,
inference(ground_joinability,[status(thm)],[c_342,c_135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n018.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Wed Sep 23 14:09:17 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.37 Running UEQ theorem proving
% 0.13/0.37 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
% 0.13/0.39
% 0.13/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39
% 0.13/0.39 % Detected problem language: tptp
% 0.13/0.40 % Proving...
% 3.12/1.25 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.12/1.25 % SZS status Started for theBenchmark.p
% 3.12/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/1.25
% 3.12/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.12/1.25
% 3.12/1.25 % ------ iProver source info
% 3.12/1.25
% 3.12/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 3.12/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.12/1.25 % git: non_committed_changes: false
% 3.12/1.25
% 3.12/1.25 % ------ Parsing...% successful
% 3.12/1.25
% 3.12/1.25
% 3.12/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.12/1.25
% 3.12/1.25 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.12/1.25
% 3.12/1.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.12/1.25
% 3.12/1.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.12/1.25 % ------ Proving...
% 3.12/1.25 % ------ Problem Properties
% 3.12/1.25
% 3.12/1.25 %
% 3.12/1.25 % clauses 3
% 3.12/1.25 % conjectures 1
% 3.12/1.25 % EPR 0
% 3.12/1.25 % Horn 3
% 3.12/1.25 % unary 3
% 3.12/1.25 % binary 0
% 3.12/1.25 % lits 3
% 3.12/1.25 % lits eq 3
% 3.12/1.25 % fd_pure 0
% 3.12/1.25 % fd_pseudo 0
% 3.12/1.25 % fd_cond 0
% 3.12/1.25 % fd_pseudo_cond 0
% 3.12/1.25 % AC symbols 0
% 3.12/1.25
% 3.12/1.25 % ------ Input Options Time Limit: Unbounded
% 3.12/1.25
% 3.12/1.25
% 3.12/1.25 % ------
% 3.12/1.25 % Current options:
% 3.12/1.25 % ------
% 3.12/1.25
% 3.12/1.25
% 3.12/1.25 %
% 3.12/1.25
% 3.12/1.25 % ------ Proving...
% 3.12/1.25 %
% 3.12/1.25
% 3.12/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 3.12/1.25
% 3.12/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.12/1.25
% 3.12/1.25
%------------------------------------------------------------------------------