%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT014-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n007.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 01:01:11 PM UTC 2026
% Result : Unsatisfiable 1.79s 1.28s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 20 unt; 2 def)
% Number of atoms : 64 ( 21 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 23 ( 14 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( there_exists(X0)
| ~ there_exists(codomain(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',codomain_has_elements) ).
fof(f7,axiom,
! [X0,X1] :
( domain(X0) = codomain(X1)
| ~ there_exists(compose(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_domain) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
fof(f12,axiom,
there_exists(codomain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_codomain_exists) ).
fof(f13,negated_conjecture,
codomain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).
fof(f14,plain,
codomain(a) != codomain(codomain(a)),
inference(reorient_equations,[],[f13]) ).
tcf(c_66,plain,
! [X0: $i] :
( there_exists(X0)
| ~ there_exists(codomain(X0)) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ( codomain(X1) = domain(X0) )
| ~ there_exists(compose(X0,X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_71,plain,
! [X0: $i] : compose(X0,domain(X0)) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_72,plain,
! [X0: $i] : compose(codomain(X0),X0) = X0,
inference(cnf_transformation,[],[f11]) ).
tcf(c_73,plain,
there_exists(codomain(a)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_74,negated_conjecture,
codomain(codomain(a)) != codomain(a),
inference(cnf_transformation,[],[f14]) ).
tcf(c_230,definition,
iPr_def_10 = codomain(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_231,definition,
iPr_def_11 = codomain(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_232,negated_conjecture,
iPr_def_11 != iPr_def_10,
inference(demodulation,[status(thm)],[c_74,c_230,c_231]) ).
tcf(c_365,plain,
there_exists(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_73,c_230]) ).
tcf(c_372,plain,
( there_exists(a)
| ~ there_exists(iPr_def_10) ),
inference(superposition,[status(thm)],[c_230,c_66]) ).
tcf(c_374,plain,
there_exists(a),
inference(forward_subsumption_resolution,[status(thm)],[c_372,c_365]) ).
tcf(c_375,plain,
compose(iPr_def_10,a) = a,
inference(superposition,[status(thm)],[c_230,c_72]) ).
tcf(c_426,plain,
( ( codomain(a) = domain(iPr_def_10) )
| ~ there_exists(a) ),
inference(superposition,[status(thm)],[c_375,c_68]) ).
tcf(c_429,plain,
( ( domain(iPr_def_10) = iPr_def_10 )
| ~ there_exists(a) ),
inference(light_normalisation,[status(thm)],[c_426,c_230]) ).
tcf(c_430,plain,
domain(iPr_def_10) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_429,c_374]) ).
tcf(c_433,plain,
compose(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_430,c_71]) ).
tcf(c_473,plain,
( ( codomain(iPr_def_10) = domain(iPr_def_10) )
| ~ there_exists(iPr_def_10) ),
inference(superposition,[status(thm)],[c_433,c_68]) ).
tcf(c_476,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ there_exists(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_473,c_231,c_430]) ).
tcf(c_477,plain,
iPr_def_10 = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_476,c_365]) ).
tcf(c_482,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_232,c_477]) ).
tcf(c_483,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT014-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n007.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 06:54:38 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/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...
% 1.79/1.28 % SZS status Started for theBenchmark.p
% 1.79/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.28
% 1.79/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.79/1.28
% 1.79/1.28 % ------ iProver source info
% 1.79/1.28
% 1.79/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.79/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.79/1.28 % git: non_committed_changes: false
% 1.79/1.28
% 1.79/1.28 % ------ Parsing...% successful
% 1.79/1.28
% 1.79/1.28
% 1.79/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.79/1.28
% 1.79/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.79/1.28
% 1.79/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.79/1.28
% 1.79/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.79/1.28 % ------ Proving...
% 1.79/1.28 % ------ Problem Properties
% 1.79/1.28
% 1.79/1.28 %
% 1.79/1.28 % clauses 12
% 1.79/1.28 % conjectures 1
% 1.79/1.28 % EPR 1
% 1.79/1.28 % Horn 12
% 1.79/1.28 % unary 7
% 1.79/1.28 % binary 4
% 1.79/1.28 % lits 18
% 1.79/1.28 % lits eq 8
% 1.79/1.28 % fd_pure 0
% 1.79/1.28 % fd_pseudo 0
% 1.79/1.28 % fd_cond 0
% 1.79/1.28 % fd_pseudo_cond 0
% 1.79/1.28 % AC symbols 0
% 1.79/1.28
% 1.79/1.28 % ------ Schedule dynamic 5 is on
% 1.79/1.28
% 1.79/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.79/1.28
% 1.79/1.28
% 1.79/1.28 % ------
% 1.79/1.28 % Current options:
% 1.79/1.28 % ------
% 1.79/1.28
% 1.79/1.28
% 1.79/1.28 %
% 1.79/1.28
% 1.79/1.28 % ------ Proving...
% 1.79/1.28 %
% 1.79/1.28
% 1.79/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.28
% 1.79/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.79/1.28
% 1.79/1.28
%------------------------------------------------------------------------------