%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO895_9 : 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 : 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 03:52:17 PM UTC 2026
% Result : Theorem 1.14s 1.26s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO895_9 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 03:59:19 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 1.14/1.26 % SZS status Started for theBenchmark.p
% 1.14/1.26 % SZS status Theorem for theBenchmark.p
% 1.14/1.26
% 1.14/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.14/1.26
% 1.14/1.26 % ------ iProver source info
% 1.14/1.26
% 1.14/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.14/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.14/1.26 % git: non_committed_changes: false
% 1.14/1.26
% 1.14/1.26 % ------ Parsing...
% 1.14/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.14/1.26 %
% 1.14/1.26
% 1.14/1.26 % ------ Preprocessing... pe_s pe:1:0s%
% 1.14/1.26
% 1.14/1.26 % SZS status Theorem for theBenchmark.p
% 1.14/1.26
% 1.14/1.26 % SZS output start CNFRefutation for theBenchmark.p
% 1.14/1.26
% 1.14/1.26 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.14/1.26 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.14/1.26 tff(pred_def_2, type, p: '$ki_world' > $o).
% 1.14/1.26 tff(pred_def_3, type, q: '$ki_world' > $o).
% 1.14/1.26 tff(type_def_5, type, '$ki_world': $tType).
% 1.14/1.26 tff(f2,conjecture,(
% 1.14/1.26 (! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => p(X0)) & ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => q(X0))) => ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (p(X0) & q(X0)))),
% 1.14/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.14/1.27
% 1.14/1.27 tff(f3,negated_conjecture,(
% 1.14/1.27 ~((! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => p(X0)) & ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => q(X0))) => ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (p(X0) & q(X0))))),
% 1.14/1.27 inference(negated_conjecture,[status(cth)],[f2])).
% 1.14/1.27
% 1.14/1.27 tff(f4,plain,(
% 1.14/1.27 ~((! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => p(X0)) & ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => q(X1))) => ! [X2 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X2) => (p(X2) & q(X2))))),
% 1.14/1.27 inference(rectify,[],[f3])).
% 1.14/1.27
% 1.14/1.27 tff(f5,plain,(
% 1.14/1.27 ? [X2 : '$ki_world'] : ((~p(X2) | ~q(X2)) & '$ki_accessible'('$ki_local_world',X2)) & (! [X0 : '$ki_world'] : (p(X0) | ~'$ki_accessible'('$ki_local_world',X0)) & ! [X1 : '$ki_world'] : (q(X1) | ~'$ki_accessible'('$ki_local_world',X1)))),
% 1.14/1.27 inference(ennf_transformation,[],[f4])).
% 1.14/1.27
% 1.14/1.27 tff(f6,plain,(
% 1.14/1.27 ? [X2 : '$ki_world'] : ((~p(X2) | ~q(X2)) & '$ki_accessible'('$ki_local_world',X2)) & ! [X0 : '$ki_world'] : (p(X0) | ~'$ki_accessible'('$ki_local_world',X0)) & ! [X1 : '$ki_world'] : (q(X1) | ~'$ki_accessible'('$ki_local_world',X1))),
% 1.14/1.27 inference(flattening,[],[f5])).
% 1.14/1.27
% 1.14/1.27 tff(f8,plain,(
% 1.14/1.27 ? [X0 : '$ki_world'] : ((~p(X0) | ~q(X0)) & '$ki_accessible'('$ki_local_world',X0)) & ! [X1 : '$ki_world'] : (p(X1) | ~'$ki_accessible'('$ki_local_world',X1)) & ! [X2 : '$ki_world'] : (q(X2) | ~'$ki_accessible'('$ki_local_world',X2))),
% 1.14/1.27 inference(rectify,[],[f6])).
% 1.14/1.27
% 1.14/1.27 tff(f9,plain,(
% 1.14/1.27 ((~p(sK1) | ~q(sK1)) & '$ki_accessible'('$ki_local_world',sK1)) & ! [X1 : '$ki_world'] : (p(X1) | ~'$ki_accessible'('$ki_local_world',X1)) & ! [X2 : '$ki_world'] : (q(X2) | ~'$ki_accessible'('$ki_local_world',X2))),
% 1.14/1.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f8])).
% 1.14/1.27
% 1.14/1.27 tff(f11,plain,(
% 1.14/1.27 ( ! [X2 : '$ki_world'] : (q(X2) | ~'$ki_accessible'('$ki_local_world',X2)) )),
% 1.14/1.27 inference(cnf_transformation,[],[f9])).
% 1.14/1.27
% 1.14/1.27 tff(f12,plain,(
% 1.14/1.27 ( ! [X1 : '$ki_world'] : (p(X1) | ~'$ki_accessible'('$ki_local_world',X1)) )),
% 1.14/1.27 inference(cnf_transformation,[],[f9])).
% 1.14/1.27
% 1.14/1.27 tff(f13,plain,(
% 1.14/1.27 '$ki_accessible'('$ki_local_world',sK1)),
% 1.14/1.27 inference(cnf_transformation,[],[f9])).
% 1.14/1.27
% 1.14/1.27 tff(f14,plain,(
% 1.14/1.27 ~p(sK1) | ~q(sK1)),
% 1.14/1.27 inference(cnf_transformation,[],[f9])).
% 1.14/1.27
% 1.14/1.27 tcf(c_50,negated_conjecture,
% 1.14/1.27 (~p(sK1)|~q(sK1)),
% 1.14/1.27 inference(cnf_transformation,[],[f14])).
% 1.14/1.27
% 1.14/1.27 tcf(c_51,negated_conjecture,
% 1.14/1.27 ('$ki_accessible'('$ki_local_world',sK1)),
% 1.14/1.27 inference(cnf_transformation,[],[f13])).
% 1.14/1.27
% 1.14/1.27 tcf(c_52,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.14/1.27 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|p(X0_'ki_world')),
% 1.14/1.27 inference(cnf_transformation,[],[f12])).
% 1.14/1.27
% 1.14/1.27 tcf(c_53,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.14/1.27 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|q(X0_'ki_world')),
% 1.14/1.27 inference(cnf_transformation,[],[f11])).
% 1.14/1.27
% 1.14/1.27 tcf(c_73,plain,
% 1.14/1.27 (~'$ki_accessible'('$ki_local_world',sK1)|~q(sK1)),
% 1.14/1.27 inference(resolution,[status(thm)],[c_50,c_52])).
% 1.14/1.27
% 1.14/1.27 tcf(c_74,plain,
% 1.14/1.27 (~q(sK1)),
% 1.14/1.27 inference(global_subsumption_just,[status(thm)],[c_73,c_51,c_73])).
% 1.14/1.27
% 1.14/1.27 tcf(c_80,plain,
% 1.14/1.27 (~'$ki_accessible'('$ki_local_world',sK1)),
% 1.14/1.27 inference(resolution,[status(thm)],[c_74,c_53])).
% 1.14/1.27
% 1.14/1.27 tcf(c_81,plain,
% 1.14/1.27 ($false),
% 1.14/1.27 inference(prop_impl_just,[status(thm)],[c_80,c_51])).
% 1.14/1.27
% 1.14/1.27
% 1.14/1.27 % SZS output end CNFRefutation for theBenchmark.p
% 1.14/1.27
% 1.14/1.27
%------------------------------------------------------------------------------