%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO011-1 : TPTP v9.3.1. Released v1.0.0.
% 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 01:00:11 PM UTC 2026
% Result : Unsatisfiable 1.59s 1.14s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 15 unt; 1 def)
% Number of atoms : 22 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).
fof(f23,negated_conjecture,
inverse(additive_identity) != multiplicative_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
fof(f24,plain,
multiplicative_identity != inverse(additive_identity),
inference(reorient_equations,[],[f23]) ).
tcf(c_76,plain,
! [X0: $i] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_89,plain,
! [X0: $i] : sum(X0,inverse(X0),multiplicative_identity),
inference(cnf_transformation,[],[f18]) ).
tcf(c_94,negated_conjecture,
inverse(additive_identity) != multiplicative_identity,
inference(cnf_transformation,[],[f24]) ).
tcf(c_112,plain,
! [X0: $i] : add(additive_identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_76]) ).
tcf(c_133,plain,
! [X0: $i] : add(X0,inverse(X0)) = multiplicative_identity,
inference(well_definedness,[status(thm)],[c_89]) ).
tcf(c_327,definition,
iPr_def_10 = inverse(additive_identity),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_328,negated_conjecture,
iPr_def_10 != multiplicative_identity,
inference(demodulation,[status(thm)],[c_94,c_327]) ).
tcf(c_390,plain,
inverse(additive_identity) = multiplicative_identity,
inference(superposition,[status(thm)],[c_133,c_112]) ).
tcf(c_391,plain,
multiplicative_identity = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_390,c_327]) ).
tcf(c_395,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_328,c_391]) ).
tcf(c_396,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 06:31:49 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.59/1.14 % SZS status Started for theBenchmark.p
% 1.59/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.14
% 1.59/1.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.59/1.14
% 1.59/1.14 % ------ iProver source info
% 1.59/1.14
% 1.59/1.14 % git: date: 2026-07-19 20:42:38 +0200
% 1.59/1.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.59/1.14 % git: non_committed_changes: false
% 1.59/1.14
% 1.59/1.14 % ------ Parsing...% successful
% 1.59/1.14
% 1.59/1.14
% 1.59/1.14 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.59/1.14
% 1.59/1.14 % ------ Preprocessing... sup_sim: 18 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.59/1.14
% 1.59/1.14 % ------ Preprocessing...% ------ preprocesses with Option_UEQ
% 1.59/1.14 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.59/1.14
% 1.59/1.14 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.59/1.14 % ------ Proving...
% 1.59/1.14 % ------ Problem Properties
% 1.59/1.14
% 1.59/1.14 %
% 1.59/1.14 % clauses 14
% 1.59/1.14 % conjectures 1
% 1.59/1.14 % EPR 1
% 1.59/1.14 % Horn 14
% 1.59/1.14 % unary 14
% 1.59/1.14 % binary 0
% 1.59/1.15 % lits 14
% 1.59/1.15 % lits eq 14
% 1.59/1.15 % fd_pure 0
% 1.59/1.15 % fd_pseudo 0
% 1.59/1.15 % fd_cond 0
% 1.59/1.15 % fd_pseudo_cond 0
% 1.59/1.15 % AC symbols 0
% 1.59/1.15
% 1.59/1.15 % ------ Schedule UEQ
% 1.59/1.15
% 1.59/1.15 % ------ Option_UEQ Time Limit: 10.
% 1.59/1.15
% 1.59/1.15
% 1.59/1.15 % ------
% 1.59/1.15 % Current options:
% 1.59/1.15 % ------
% 1.59/1.15
% 1.59/1.15
% 1.59/1.15 %
% 1.59/1.15
% 1.59/1.15 % ------ Proving...
% 1.59/1.15 %
% 1.59/1.15
% 1.59/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.15
% 1.59/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.59/1.15
% 1.59/1.15
%------------------------------------------------------------------------------