%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO018-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.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 01:00:15 PM UTC 2026
% Result : Unsatisfiable 1.56s 11.28s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% 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 : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',commutativity_of_multiply) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',multiplicative_id1) ).
fof(f9,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO004-0.ax',multiplicative_inverse1) ).
fof(f10,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
inverse(multiplicative_identity) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_of_1_is_0) ).
fof(f12,plain,
additive_identity != inverse(multiplicative_identity),
inference(reorient_equations,[],[f11]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,plain,
! [X0: $i] : multiply(X0,multiplicative_identity) = X0,
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,plain,
! [X0: $i] : multiply(X0,inverse(X0)) = additive_identity,
inference(cnf_transformation,[],[f10]) ).
tcf(c_66,negated_conjecture,
inverse(multiplicative_identity) != additive_identity,
inference(cnf_transformation,[],[f12]) ).
tcf(c_159,plain,
! [X0: $i] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[status(thm)],[c_63,c_59]) ).
tcf(c_223,plain,
inverse(multiplicative_identity) = additive_identity,
inference(superposition,[status(thm)],[c_159,c_65]) ).
tcf(c_224,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_223,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO018-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/10.38 % Computer : n004.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Fri Sep 25 06:34:02 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.42 Running UEQ theorem proving
% 0.14/10.42 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
% 0.14/10.43
% 0.14/10.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.43
% 0.14/10.43 % Detected problem language: tptp
% 0.14/10.44 % Proving...
% 1.56/11.28 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 1.56/11.28 % SZS status Started for theBenchmark.p
% 1.56/11.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.56/11.28
% 1.56/11.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.56/11.28
% 1.56/11.28 % ------ iProver source info
% 1.56/11.28
% 1.56/11.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.56/11.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.56/11.28 % git: non_committed_changes: false
% 1.56/11.28
% 1.56/11.28 % ------ Parsing...% successful
% 1.56/11.28
% 1.56/11.28
% 1.56/11.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.56/11.28
% 1.56/11.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.56/11.28
% 1.56/11.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.56/11.28
% 1.56/11.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.56/11.28 % ------ Proving...
% 1.56/11.28 % ------ Problem Properties
% 1.56/11.28
% 1.56/11.28 %
% 1.56/11.28 % clauses 9
% 1.56/11.28 % conjectures 1
% 1.56/11.28 % EPR 0
% 1.56/11.28 % Horn 9
% 1.56/11.28 % unary 9
% 1.56/11.28 % binary 0
% 1.56/11.28 % lits 9
% 1.56/11.28 % lits eq 9
% 1.56/11.28 % fd_pure 0
% 1.56/11.28 % fd_pseudo 0
% 1.56/11.28 % fd_cond 0
% 1.56/11.28 % fd_pseudo_cond 0
% 1.56/11.28 % AC symbols 0
% 1.56/11.28
% 1.56/11.28 % ------ Input Options Time Limit: Unbounded
% 1.56/11.28
% 1.56/11.28
% 1.56/11.28 % ------
% 1.56/11.28 % Current options:
% 1.56/11.28 % ------
% 1.56/11.28
% 1.56/11.28
% 1.56/11.28 %
% 1.56/11.28
% 1.56/11.28 % ------ Proving...
% 1.56/11.28 %
% 1.56/11.28
% 1.56/11.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.56/11.28
% 1.56/11.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.56/11.28
% 1.56/11.28
%------------------------------------------------------------------------------