%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT011-2 : 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 : 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 01:01:09 PM UTC 2026
% Result : Unsatisfiable 1.65s 1.27s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 17 unt; 2 def)
% Number of atoms : 30 ( 16 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 : 3 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : codomain(domain(X0)) = domain(X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_of_domain_is_domain) ).
fof(f2,plain,
! [X0] : domain(X0) = codomain(domain(X0)),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X0] : domain(codomain(X0)) = codomain(X0),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',domain_of_codomain_is_codomain) ).
fof(f4,plain,
! [X0] : codomain(X0) = domain(codomain(X0)),
inference(reorient_equations,[],[f3]) ).
fof(f11,negated_conjecture,
domain(domain(a)) != domain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
fof(f12,plain,
domain(a) != domain(domain(a)),
inference(reorient_equations,[],[f11]) ).
tcf(c_57,plain,
! [X0: $i] : codomain(domain(X0)) = domain(X0),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i] : domain(codomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f4]) ).
tcf(c_64,negated_conjecture,
domain(domain(a)) != domain(a),
inference(cnf_transformation,[],[f12]) ).
tcf(c_113,definition,
iPr_def_10 = domain(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_114,definition,
iPr_def_11 = domain(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_115,negated_conjecture,
iPr_def_11 != iPr_def_10,
inference(demodulation,[status(thm)],[c_64,c_113,c_114]) ).
tcf(c_175,plain,
codomain(iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_113,c_57]) ).
tcf(c_178,plain,
domain(iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_175,c_58]) ).
tcf(c_181,plain,
iPr_def_10 = iPr_def_11,
inference(demodulation,[status(thm)],[c_114,c_178]) ).
tcf(c_183,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_115,c_181]) ).
tcf(c_184,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT011-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 06:57:57 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.65/1.27 % SZS status Started for theBenchmark.p
% 1.65/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.65/1.27
% 1.65/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.65/1.27
% 1.65/1.27 % ------ iProver source info
% 1.65/1.27
% 1.65/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.65/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.65/1.27 % git: non_committed_changes: false
% 1.65/1.27
% 1.65/1.27 % ------ Parsing...% successful
% 1.65/1.27
% 1.65/1.27
% 1.65/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.65/1.27
% 1.65/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.65/1.27
% 1.65/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.65/1.27
% 1.65/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.65/1.27 % ------ Proving...
% 1.65/1.27 % ------ Problem Properties
% 1.65/1.27
% 1.65/1.27 %
% 1.65/1.27 % clauses 10
% 1.65/1.27 % conjectures 1
% 1.65/1.27 % EPR 1
% 1.65/1.27 % Horn 10
% 1.65/1.27 % unary 7
% 1.65/1.27 % binary 2
% 1.65/1.27 % lits 14
% 1.65/1.27 % lits eq 14
% 1.65/1.27 % fd_pure 0
% 1.65/1.27 % fd_pseudo 0
% 1.65/1.27 % fd_cond 0
% 1.65/1.27 % fd_pseudo_cond 0
% 1.65/1.27 % AC symbols 0
% 1.65/1.27
% 1.65/1.27 % ------ Schedule dynamic 5 is on
% 1.65/1.27
% 1.65/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.65/1.27
% 1.65/1.27
% 1.65/1.27 % ------
% 1.65/1.27 % Current options:
% 1.65/1.27 % ------
% 1.65/1.27
% 1.65/1.27
% 1.65/1.27 %
% 1.65/1.27
% 1.65/1.27 % ------ Proving...
% 1.65/1.27 %
% 1.65/1.27
% 1.65/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.65/1.27
% 1.65/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.65/1.27
% 1.65/1.27
%------------------------------------------------------------------------------