%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO899_8 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 03:52:17 PM UTC 2026
% Result : Theorem 1.55s 1.25s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO899_8 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n008.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 03:58:54 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 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...
% 1.55/1.25 % SZS status Started for theBenchmark.p
% 1.55/1.25 % SZS status Theorem for theBenchmark.p
% 1.55/1.25
% 1.55/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.55/1.25
% 1.55/1.25 % ------ iProver source info
% 1.55/1.25
% 1.55/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 1.55/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.55/1.25 % git: non_committed_changes: false
% 1.55/1.25
% 1.55/1.25 % ------ Parsing...
% 1.55/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.55/1.25 %
% 1.55/1.25
% 1.55/1.25 % ------ Preprocessing... pe_s pe:1:0s pe:2:0s pe_e pe_s pe_e %
% 1.55/1.25
% 1.55/1.25 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.55/1.25 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.55/1.25 % ------ Proving...
% 1.55/1.25 % ------ Problem Properties
% 1.55/1.25
% 1.55/1.25 %
% 1.55/1.25 % clauses 3
% 1.55/1.25 % conjectures 1
% 1.55/1.25 % EPR 3
% 1.55/1.25 % Horn 3
% 1.55/1.25 % unary 2
% 1.55/1.25 % binary 1
% 1.55/1.25 % lits 4
% 1.55/1.25 % lits eq 0
% 1.55/1.25 % fd_pure 0
% 1.55/1.25 % fd_pseudo 0
% 1.55/1.25 % fd_cond 0
% 1.55/1.25 % fd_pseudo_cond 0
% 1.55/1.25 % AC symbols 0
% 1.55/1.25
% 1.55/1.25 % ------ Schedule EPR Horn non eq is on
% 1.55/1.25
% 1.55/1.25 % ------ no equalities: superposition off
% 1.55/1.25
% 1.55/1.25 % ------ Option_epr_horn Time Limit: Unbounded
% 1.55/1.25
% 1.55/1.25
% 1.55/1.25 % ------
% 1.55/1.25 % Current options:
% 1.55/1.25 % ------
% 1.55/1.25
% 1.55/1.25
% 1.55/1.25 %
% 1.55/1.25
% 1.55/1.25 % ------ Proving...
% 1.55/1.25 %
% 1.55/1.25
% 1.55/1.25 % SZS status Theorem for theBenchmark.p
% 1.55/1.25
% 1.55/1.25 % SZS output start CNFRefutation for theBenchmark.p
% 1.55/1.25
% 1.55/1.25 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.55/1.25 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.55/1.25 tff(pred_def_2, type, p: '$ki_world' > $o).
% 1.55/1.25 tff(pred_def_3, type, q: '$ki_world' > $o).
% 1.55/1.25 tff(type_def_5, type, '$ki_world': $tType).
% 1.55/1.25 tff(f1,axiom,(
% 1.55/1.25 ! [X0 : '$ki_world'] : '$ki_accessible'(X0,X0)),
% 1.55/1.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive)).
% 1.55/1.26
% 1.55/1.26 tff(f2,conjecture,(
% 1.55/1.26 ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & (p(X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => q(X1)))) => (! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => p(X0)) => ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & q(X0)))),
% 1.55/1.26 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.55/1.26
% 1.55/1.26 tff(f3,negated_conjecture,(
% 1.55/1.26 ~(? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & (p(X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => q(X1)))) => (! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => p(X0)) => ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & q(X0))))),
% 1.55/1.26 inference(negated_conjecture,[status(cth)],[f2])).
% 1.55/1.26
% 1.55/1.26 tff(f4,plain,(
% 1.55/1.26 ~(? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & (p(X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => q(X1)))) => (! [X2 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X2) => p(X2)) => ? [X3 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X3) & q(X3))))),
% 1.55/1.26 inference(rectify,[],[f3])).
% 1.55/1.26
% 1.55/1.26 tff(f5,plain,(
% 1.55/1.26 (! [X3 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X3) | ~q(X3)) & ! [X2 : '$ki_world'] : (p(X2) | ~'$ki_accessible'('$ki_local_world',X2))) & ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & (! [X1 : '$ki_world'] : (q(X1) | ~'$ki_accessible'(X0,X1)) | ~p(X0)))),
% 1.55/1.26 inference(ennf_transformation,[],[f4])).
% 1.55/1.26
% 1.55/1.26 tff(f6,plain,(
% 1.55/1.26 ! [X3 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X3) | ~q(X3)) & ! [X2 : '$ki_world'] : (p(X2) | ~'$ki_accessible'('$ki_local_world',X2)) & ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & (! [X1 : '$ki_world'] : (q(X1) | ~'$ki_accessible'(X0,X1)) | ~p(X0)))),
% 1.55/1.26 inference(flattening,[],[f5])).
% 1.55/1.26
% 1.55/1.26 tff(f7,plain,(
% 1.55/1.26 ! [X0 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X0) | ~q(X0)) & ! [X1 : '$ki_world'] : (p(X1) | ~'$ki_accessible'('$ki_local_world',X1)) & ? [X2 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X2) & (! [X3 : '$ki_world'] : (q(X3) | ~'$ki_accessible'(X2,X3)) | ~p(X2)))),
% 1.55/1.26 inference(rectify,[],[f6])).
% 1.55/1.26
% 1.55/1.26 tff(f8,plain,(
% 1.55/1.26 ! [X0 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X0) | ~q(X0)) & ! [X1 : '$ki_world'] : (p(X1) | ~'$ki_accessible'('$ki_local_world',X1)) & ('$ki_accessible'('$ki_local_world',sK0) & (! [X3 : '$ki_world'] : (q(X3) | ~'$ki_accessible'(sK0,X3)) | ~p(sK0)))),
% 1.55/1.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0)],[f7])).
% 1.55/1.26
% 1.55/1.26 tff(f9,plain,(
% 1.55/1.26 ( ! [X0 : '$ki_world'] : ('$ki_accessible'(X0,X0)) )),
% 1.55/1.26 inference(cnf_transformation,[],[f1])).
% 1.55/1.26
% 1.55/1.26 tff(f10,plain,(
% 1.55/1.26 ( ! [X3 : '$ki_world'] : (q(X3) | ~'$ki_accessible'(sK0,X3) | ~p(sK0)) )),
% 1.55/1.26 inference(cnf_transformation,[],[f8])).
% 1.55/1.26
% 1.55/1.26 tff(f11,plain,(
% 1.55/1.26 '$ki_accessible'('$ki_local_world',sK0)),
% 1.55/1.26 inference(cnf_transformation,[],[f8])).
% 1.55/1.26
% 1.55/1.26 tff(f12,plain,(
% 1.55/1.26 ( ! [X1 : '$ki_world'] : (p(X1) | ~'$ki_accessible'('$ki_local_world',X1)) )),
% 1.55/1.26 inference(cnf_transformation,[],[f8])).
% 1.55/1.26
% 1.55/1.26 tff(f13,plain,(
% 1.55/1.26 ( ! [X0 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X0) | ~q(X0)) )),
% 1.55/1.26 inference(cnf_transformation,[],[f8])).
% 1.55/1.26
% 1.55/1.26 tcf(c_49,plain,![X0_'ki_world':'$ki_world']:
% 1.55/1.26 ('$ki_accessible'(X0_'ki_world',X0_'ki_world')),
% 1.55/1.26 inference(cnf_transformation,[],[f9])).
% 1.55/1.26
% 1.55/1.26 tcf(c_50,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.55/1.26 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~q(X0_'ki_world')),
% 1.55/1.26 inference(cnf_transformation,[],[f13])).
% 1.55/1.26
% 1.55/1.26 tcf(c_51,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.55/1.26 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|p(X0_'ki_world')),
% 1.55/1.26 inference(cnf_transformation,[],[f12])).
% 1.55/1.26
% 1.55/1.26 tcf(c_52,negated_conjecture,
% 1.55/1.26 ('$ki_accessible'('$ki_local_world',sK0)),
% 1.55/1.26 inference(cnf_transformation,[],[f11])).
% 1.55/1.26
% 1.55/1.26 tcf(c_53,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.55/1.26 (~'$ki_accessible'(sK0,X0_'ki_world')|~p(sK0)|q(X0_'ki_world')),
% 1.55/1.26 inference(cnf_transformation,[],[f10])).
% 1.55/1.26
% 1.55/1.26 tcf(c_76,plain,![X0_'ki_world':'$ki_world']:
% 1.55/1.26 (~'$ki_accessible'(sK0,X0_'ki_world')|~'$ki_accessible'('$ki_local_world',sK0)|
% 1.55/1.26 q(X0_'ki_world')),
% 1.55/1.26 inference(resolution,[status(thm)],[c_51,c_53])).
% 1.55/1.26
% 1.55/1.26 tcf(c_78,plain,![X0_'ki_world':'$ki_world']:
% 1.55/1.26 (~'$ki_accessible'(sK0,X0_'ki_world')|q(X0_'ki_world')),
% 1.55/1.26 inference(global_subsumption_just,[status(thm)],[c_76,c_52,c_76])).
% 1.55/1.26
% 1.55/1.26 tcf(c_89,plain,![X0_'ki_world':'$ki_world']:
% 1.55/1.26 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~'$ki_accessible'(sK0,X0_'ki_world')),
% 1.55/1.26 inference(resolution,[status(thm)],[c_78,c_50])).
% 1.55/1.26
% 1.55/1.26 tcf(c_107,plain,![X0_'ki_world':'$ki_world']:
% 1.55/1.26 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~'$ki_accessible'(sK0,X0_'ki_world')),
% 1.55/1.26 inference(demodulation,[status(thm)],[c_89])).
% 1.55/1.26
% 1.55/1.26 tcf(c_108,negated_conjecture,
% 1.55/1.26 ('$ki_accessible'('$ki_local_world',sK0)),
% 1.55/1.26 inference(demodulation,[status(thm)],[c_52])).
% 1.55/1.26
% 1.55/1.26 tcf(c_109,plain,
% 1.55/1.26 (~'$ki_accessible'(sK0,sK0)),
% 1.55/1.26 inference(resolution,[status(thm)],[c_107,c_108])).
% 1.55/1.26
% 1.55/1.26 tcf(c_111,plain, ($false),inference(resolution,[status(thm)],[c_49,c_109])).
% 1.55/1.26
% 1.55/1.26
% 1.55/1.26 % SZS output end CNFRefutation for theBenchmark.p
% 1.55/1.26
% 1.55/1.26
%------------------------------------------------------------------------------