%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CAT010-4 : 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 : n020.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 3.66s 11.30s
% Output : CNFRefutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 19 unt; 3 def)
% Number of atoms : 67 ( 20 equ)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?; 10 :)
% 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(f6,axiom,
! [X0,X1] :
( there_exists(domain(X0))
| ~ there_exists(compose(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',composition_implies_domain) ).
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(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
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(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_exists) ).
fof(f13,negated_conjecture,
codomain(compose(a,b)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_ab_equals_codomain_of_a) ).
tcf(c_65,plain,
! [X0: $i] :
( there_exists(X0)
| ~ there_exists(domain(X0)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( there_exists(domain(X0))
| ~ there_exists(compose(X0,X1)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ( codomain(X1) = domain(X0) )
| ~ there_exists(compose(X0,X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] : compose(compose(X0,X1),X2) = compose(X0,compose(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_72,plain,
! [X0: $i] : compose(codomain(X0),X0) = X0,
inference(cnf_transformation,[],[f11]) ).
tcf(c_73,plain,
there_exists(compose(a,b)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_74,negated_conjecture,
codomain(compose(a,b)) != codomain(a),
inference(cnf_transformation,[],[f13]) ).
tcf(c_76,plain,
( there_exists(a)
| ~ there_exists(domain(a)) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_230,definition,
iPr_def_10 = compose(a,b),
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,definition,
iPr_def_12 = codomain(a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_233,negated_conjecture,
iPr_def_11 != iPr_def_12,
inference(demodulation,[status(thm)],[c_74,c_232,c_230,c_231]) ).
tcf(c_370,plain,
there_exists(iPr_def_10),
inference(light_normalisation,[status(thm)],[c_73,c_230]) ).
tcf(c_395,plain,
compose(iPr_def_12,a) = a,
inference(superposition,[status(thm)],[c_232,c_72]) ).
tcf(c_403,plain,
( there_exists(domain(a))
| ~ there_exists(iPr_def_10) ),
inference(superposition,[status(thm)],[c_230,c_67]) ).
tcf(c_409,plain,
there_exists(domain(a)),
inference(forward_subsumption_resolution,[status(thm)],[c_403,c_370]) ).
tcf(c_436,plain,
( ( codomain(a) = domain(iPr_def_12) )
| ~ there_exists(a) ),
inference(superposition,[status(thm)],[c_395,c_68]) ).
tcf(c_438,plain,
! [X0: $i] : compose(iPr_def_12,compose(a,X0)) = compose(a,X0),
inference(superposition,[status(thm)],[c_395,c_70]) ).
tcf(c_441,plain,
( ( domain(iPr_def_12) = iPr_def_12 )
| ~ there_exists(a) ),
inference(light_normalisation,[status(thm)],[c_436,c_232]) ).
tcf(c_613,plain,
domain(iPr_def_12) = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_441,c_76,c_409,c_441]) ).
tcf(c_797,plain,
compose(iPr_def_12,iPr_def_10) = iPr_def_10,
inference(superposition,[status(thm)],[c_230,c_438]) ).
tcf(c_813,plain,
( ( codomain(iPr_def_10) = domain(iPr_def_12) )
| ~ there_exists(iPr_def_10) ),
inference(superposition,[status(thm)],[c_797,c_68]) ).
tcf(c_817,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ there_exists(iPr_def_10) ),
inference(light_normalisation,[status(thm)],[c_813,c_231,c_613]) ).
tcf(c_818,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_817,c_233,c_370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT010-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/10.39 % Computer : n020.cluster.edu
% 0.13/10.39 % Model : x86_64 x86_64
% 0.13/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.39 % Memory : 8046.5625MB
% 0.13/10.39 % OS : Linux 6.8.0-71-generic
% 0.13/10.39 % CPULimit : 300
% 0.13/10.39 % WCLimit : 300
% 0.13/10.39 % DateTime : Fri Sep 25 06:55:45 UTC 2026
% 0.13/10.39 % CPUTime :
% 0.13/10.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/10.43 Running first-order theorem proving
% 0.16/10.43 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
% 0.16/10.44
% 0.16/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.44
% 0.16/10.44 % Detected problem language: tptp
% 0.16/10.45 % Proving...
% 3.66/11.30 % SZS status Started for theBenchmark.p
% 3.66/11.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.66/11.30
% 3.66/11.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.66/11.30
% 3.66/11.30 % ------ iProver source info
% 3.66/11.30
% 3.66/11.30 % git: date: 2026-07-19 20:42:38 +0200
% 3.66/11.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.66/11.30 % git: non_committed_changes: false
% 3.66/11.30
% 3.66/11.30 % ------ Parsing...% successful
% 3.66/11.30
% 3.66/11.30
% 3.66/11.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.66/11.30
% 3.66/11.30 % ------ 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 %
% 3.66/11.30
% 3.66/11.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.66/11.30
% 3.66/11.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.66/11.30 % ------ Proving...
% 3.66/11.30 % ------ Problem Properties
% 3.66/11.30
% 3.66/11.30 %
% 3.66/11.30 % clauses 13
% 3.66/11.30 % conjectures 1
% 3.66/11.30 % EPR 1
% 3.66/11.30 % Horn 13
% 3.66/11.30 % unary 8
% 3.66/11.30 % binary 4
% 3.66/11.30 % lits 19
% 3.66/11.30 % lits eq 9
% 3.66/11.30 % fd_pure 0
% 3.66/11.30 % fd_pseudo 0
% 3.66/11.30 % fd_cond 0
% 3.66/11.30 % fd_pseudo_cond 0
% 3.66/11.30 % AC symbols 0
% 3.66/11.30
% 3.66/11.30 % ------ Schedule dynamic 5 is on
% 3.66/11.30
% 3.66/11.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.66/11.30
% 3.66/11.30
% 3.66/11.30 % ------
% 3.66/11.30 % Current options:
% 3.66/11.30 % ------
% 3.66/11.30
% 3.66/11.30
% 3.66/11.30 %
% 3.66/11.30
% 3.66/11.30 % ------ Proving...
% 3.66/11.30 %
% 3.66/11.30
% 3.66/11.30 % SZS status Unsatisfiable for theBenchmark.p
% 3.66/11.30
% 3.66/11.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.66/11.30
% 3.66/11.30
%------------------------------------------------------------------------------