%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP206-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 01:31:48 PM UTC 2026
% Result : Unsatisfiable 2.19s 1.28s
% Output : CNFRefutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f3,axiom,
! [X0,X1] : multiply(X0,left_division(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_left_division) ).
fof(f4,axiom,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_division_multiply) ).
fof(f11,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),X0)) = multiply(multiply(X0,X1),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang4) ).
fof(f12,negated_conjecture,
multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang1) ).
tcf(c_59,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : multiply(X0,left_division(X0,X1)) = X1,
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : left_division(X0,multiply(X0,X1)) = X1,
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(X2,X0)) = multiply(X0,multiply(multiply(X1,X2),X0)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_68,negated_conjecture,
multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_98,plain,
multiply(multiply(a,multiply(b,c)),a) != multiply(a,multiply(multiply(b,c),a)),
inference(demodulation,[status(thm)],[c_68,c_67]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(left_division(X0,X1),X2),X0)) = multiply(X1,multiply(X2,X0)),
inference(superposition,[status(thm)],[c_61,c_67]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(left_division(X0,X1),X0)) = multiply(X1,multiply(identity,X0)),
inference(superposition,[status(thm)],[c_60,c_190]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(left_division(X0,X1),X0)) = multiply(X1,X0),
inference(light_normalisation,[status(thm)],[c_279,c_59]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_62,c_295]) ).
tcf(c_339,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_98,c_323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP206-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 14:10:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running UEQ theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 2.19/1.28 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.19/1.28 % SZS status Started for theBenchmark.p
% 2.19/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.19/1.28
% 2.19/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.19/1.28
% 2.19/1.28 % ------ iProver source info
% 2.19/1.28
% 2.19/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.19/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.19/1.28 % git: non_committed_changes: false
% 2.19/1.28
% 2.19/1.28 % ------ Parsing...% successful
% 2.19/1.28
% 2.19/1.28
% 2.19/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.19/1.28
% 2.19/1.28 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.19/1.28
% 2.19/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.19/1.28
% 2.19/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.19/1.28 % ------ Proving...
% 2.19/1.28 % ------ Problem Properties
% 2.19/1.28
% 2.19/1.28 %
% 2.19/1.28 % clauses 10
% 2.19/1.28 % conjectures 0
% 2.19/1.28 % EPR 0
% 2.19/1.28 % Horn 10
% 2.19/1.28 % unary 10
% 2.19/1.28 % binary 0
% 2.19/1.28 % lits 10
% 2.19/1.28 % lits eq 10
% 2.19/1.28 % fd_pure 0
% 2.19/1.28 % fd_pseudo 0
% 2.19/1.28 % fd_cond 0
% 2.19/1.28 % fd_pseudo_cond 0
% 2.19/1.28 % AC symbols 0
% 2.19/1.28
% 2.19/1.28 % ------ Input Options Time Limit: Unbounded
% 2.19/1.28
% 2.19/1.28
% 2.19/1.28 % ------
% 2.19/1.28 % Current options:
% 2.19/1.28 % ------
% 2.19/1.28
% 2.19/1.28
% 2.19/1.28 %
% 2.19/1.28
% 2.19/1.28 % ------ Proving...
% 2.19/1.28 %
% 2.19/1.28
% 2.19/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.19/1.28
% 2.19/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.19/1.28
% 2.19/1.28
%------------------------------------------------------------------------------