%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT012-4 : 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 : n011.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 01:01:10 PM UTC 2026
% Result : Unsatisfiable 2.07s 1.30s
% Output : CNFRefutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 16 unt; 2 def)
% Number of atoms : 45 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( there_exists(X0)
| ~ there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_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(f12,axiom,
there_exists(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_domain_exists) ).
fof(f13,negated_conjecture,
codomain(domain(a)) != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).
fof(f14,plain,
domain(a) != codomain(domain(a)),
inference(reorient_equations,[],[f13]) ).
tcf(c_65,plain,
! [X0: $i] :
( there_exists(X0)
| ~ there_exists(domain(X0)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ( domain(X0) = codomain(X1) )
| ~ 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_73,plain,
there_exists(domain(a)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_74,negated_conjecture,
codomain(domain(a)) != domain(a),
inference(cnf_transformation,[],[f14]) ).
tcf(c_231,definition,
iPr_def_10 = domain(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_232,definition,
iPr_def_11 = codomain(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_233,negated_conjecture,
iPr_def_11 != iPr_def_10,
inference(demodulation,[status(thm)],[c_74,c_231,c_232]) ).
tcf(c_376,plain,
there_exists(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_73,c_231]) ).
tcf(c_379,plain,
( there_exists(a)
| ~ there_exists(iPr_def_10) ),
inference(superposition,[status(thm)],[c_231,c_65]) ).
tcf(c_380,plain,
there_exists(a),
inference(forward_subsumption_resolution,[status(thm)],[c_379,c_376]) ).
tcf(c_386,plain,
compose(a,iPr_def_10) = a,
inference(superposition,[status(thm)],[c_231,c_71]) ).
tcf(c_407,plain,
( ( domain(a) = codomain(iPr_def_10) )
| ~ there_exists(a) ),
inference(superposition,[status(thm)],[c_386,c_68]) ).
tcf(c_408,plain,
( ( iPr_def_10 = iPr_def_11 )
| ~ there_exists(a) ),
inference(light_normalisation,[status(thm)],[c_407,c_231,c_232]) ).
tcf(c_409,plain,
iPr_def_10 = iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_408,c_380]) ).
tcf(c_415,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_233,c_409]) ).
tcf(c_416,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT012-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 06:55:43 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 2.07/1.30 % SZS status Started for theBenchmark.p
% 2.07/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.07/1.30
% 2.07/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.07/1.30
% 2.07/1.30 % ------ iProver source info
% 2.07/1.30
% 2.07/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.07/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.07/1.30 % git: non_committed_changes: false
% 2.07/1.30
% 2.07/1.30 % ------ Parsing...% successful
% 2.07/1.30
% 2.07/1.30
% 2.07/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.07/1.30
% 2.07/1.30 % ------ 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 %
% 2.07/1.30
% 2.07/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.07/1.30
% 2.07/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.07/1.30 % ------ Proving...
% 2.07/1.30 % ------ Problem Properties
% 2.07/1.30
% 2.07/1.30 %
% 2.07/1.30 % clauses 12
% 2.07/1.30 % conjectures 1
% 2.07/1.30 % EPR 1
% 2.07/1.30 % Horn 12
% 2.07/1.30 % unary 7
% 2.07/1.30 % binary 4
% 2.07/1.30 % lits 18
% 2.07/1.30 % lits eq 8
% 2.07/1.30 % fd_pure 0
% 2.07/1.30 % fd_pseudo 0
% 2.07/1.30 % fd_cond 0
% 2.07/1.30 % fd_pseudo_cond 0
% 2.07/1.30 % AC symbols 0
% 2.07/1.30
% 2.07/1.30 % ------ Schedule dynamic 5 is on
% 2.07/1.30
% 2.07/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.07/1.30
% 2.07/1.30
% 2.07/1.30 % ------
% 2.07/1.30 % Current options:
% 2.07/1.30 % ------
% 2.07/1.30
% 2.07/1.30
% 2.07/1.30 %
% 2.07/1.30
% 2.07/1.30 % ------ Proving...
% 2.07/1.30 %
% 2.07/1.30
% 2.07/1.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.07/1.30
% 2.07/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.07/1.30
% 2.07/1.30
%------------------------------------------------------------------------------