%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO901_11 : 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 : 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 03:52:18 PM UTC 2026
% Result : Theorem 1.10s 1.28s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO901_11 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 03:58:14 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.10/1.28 % SZS status Started for theBenchmark.p
% 1.10/1.28 % SZS status Theorem for theBenchmark.p
% 1.10/1.28
% 1.10/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.10/1.28
% 1.10/1.28 % ------ iProver source info
% 1.10/1.28
% 1.10/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.10/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.10/1.28 % git: non_committed_changes: false
% 1.10/1.28
% 1.10/1.28 % ------ Parsing...
% 1.10/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.10/1.28 %
% 1.10/1.28
% 1.10/1.28 % ------ Preprocessing...%
% 1.10/1.28
% 1.10/1.28 % SZS status Theorem for theBenchmark.p
% 1.10/1.28
% 1.10/1.28 % SZS output start CNFRefutation for theBenchmark.p
% 1.10/1.28
% 1.10/1.28 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.10/1.28 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.10/1.28 tff(pred_def_2, type, p: '$ki_world' > $o).
% 1.10/1.28 tff(pred_def_3, type, q: '$ki_world' > $o).
% 1.10/1.28 tff(type_def_5, type, '$ki_world': $tType).
% 1.10/1.28 tff(f1,axiom,(
% 1.10/1.28 ! [X0 : '$ki_world',X1 : '$ki_world'] : '$ki_accessible'(X0,X1)),
% 1.10/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal)).
% 1.10/1.28
% 1.10/1.28 tff(f2,conjecture,(
% 1.10/1.28 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (p(X0) <=> q(X0))) => ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => p(X1)) <=> ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => q(X1))))),
% 1.10/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.10/1.28
% 1.10/1.28 tff(f3,negated_conjecture,(
% 1.10/1.28 ~(! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (p(X0) <=> q(X0))) => ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => p(X1)) <=> ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => q(X1)))))),
% 1.10/1.28 inference(negated_conjecture,[status(cth)],[f2])).
% 1.10/1.28
% 1.10/1.28 tff(f4,plain,(
% 1.10/1.28 ~(! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (p(X0) <=> q(X0))) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => (! [X2 : '$ki_world'] : ('$ki_accessible'(X1,X2) => p(X2)) <=> ! [X3 : '$ki_world'] : ('$ki_accessible'(X1,X3) => q(X3)))))),
% 1.10/1.28 inference(rectify,[],[f3])).
% 1.10/1.28
% 1.10/1.28 tff(f5,plain,(
% 1.10/1.28 ? [X1 : '$ki_world'] : ((! [X2 : '$ki_world'] : (p(X2) | ~'$ki_accessible'(X1,X2)) <~> ! [X3 : '$ki_world'] : (q(X3) | ~'$ki_accessible'(X1,X3))) & '$ki_accessible'('$ki_local_world',X1)) & ! [X0 : '$ki_world'] : ((p(X0) <=> q(X0)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.10/1.28 inference(ennf_transformation,[],[f4])).
% 1.10/1.28
% 1.10/1.28 tff(f6,plain,(
% 1.10/1.28 ? [X1 : '$ki_world'] : (((? [X3 : '$ki_world'] : (~q(X3) & '$ki_accessible'(X1,X3)) | ? [X2 : '$ki_world'] : (~p(X2) & '$ki_accessible'(X1,X2))) & (! [X3 : '$ki_world'] : (q(X3) | ~'$ki_accessible'(X1,X3)) | ! [X2 : '$ki_world'] : (p(X2) | ~'$ki_accessible'(X1,X2)))) & '$ki_accessible'('$ki_local_world',X1)) & ! [X0 : '$ki_world'] : (((p(X0) | ~q(X0)) & (q(X0) | ~p(X0))) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.10/1.28 inference(nnf_transformation,[],[f5])).
% 1.10/1.28
% 1.10/1.28 tff(f7,plain,(
% 1.10/1.28 ? [X1 : '$ki_world'] : ((? [X3 : '$ki_world'] : (~q(X3) & '$ki_accessible'(X1,X3)) | ? [X2 : '$ki_world'] : (~p(X2) & '$ki_accessible'(X1,X2))) & (! [X3 : '$ki_world'] : (q(X3) | ~'$ki_accessible'(X1,X3)) | ! [X2 : '$ki_world'] : (p(X2) | ~'$ki_accessible'(X1,X2))) & '$ki_accessible'('$ki_local_world',X1)) & ! [X0 : '$ki_world'] : (((p(X0) | ~q(X0)) & (q(X0) | ~p(X0))) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.10/1.28 inference(flattening,[],[f6])).
% 1.10/1.28
% 1.10/1.28 tff(f8,plain,(
% 1.10/1.28 ? [X0 : '$ki_world'] : ((? [X1 : '$ki_world'] : (~q(X1) & '$ki_accessible'(X0,X1)) | ? [X2 : '$ki_world'] : (~p(X2) & '$ki_accessible'(X0,X2))) & (! [X3 : '$ki_world'] : (q(X3) | ~'$ki_accessible'(X0,X3)) | ! [X4 : '$ki_world'] : (p(X4) | ~'$ki_accessible'(X0,X4))) & '$ki_accessible'('$ki_local_world',X0)) & ! [X5 : '$ki_world'] : (((p(X5) | ~q(X5)) & (q(X5) | ~p(X5))) | ~'$ki_accessible'('$ki_local_world',X5))),
% 1.10/1.28 inference(rectify,[],[f7])).
% 1.10/1.28
% 1.10/1.28 tff(f9,plain,(
% 1.10/1.28 (((~q(sK1) & '$ki_accessible'(sK0,sK1)) | (~p(sK2) & '$ki_accessible'(sK0,sK2))) & (! [X3 : '$ki_world'] : (q(X3) | ~'$ki_accessible'(sK0,X3)) | ! [X4 : '$ki_world'] : (p(X4) | ~'$ki_accessible'(sK0,X4))) & '$ki_accessible'('$ki_local_world',sK0)) & ! [X5 : '$ki_world'] : (((p(X5) | ~q(X5)) & (q(X5) | ~p(X5))) | ~'$ki_accessible'('$ki_local_world',X5))),
% 1.10/1.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f8])).
% 1.10/1.28
% 1.10/1.28 tff(f10,plain,(
% 1.10/1.28 ( ! [X0 : '$ki_world',X1 : '$ki_world'] : ('$ki_accessible'(X0,X1)) )),
% 1.10/1.28 inference(cnf_transformation,[],[f1])).
% 1.10/1.28
% 1.10/1.28 tff(f11,plain,(
% 1.10/1.28 ( ! [X5 : '$ki_world'] : (q(X5) | ~p(X5) | ~'$ki_accessible'('$ki_local_world',X5)) )),
% 1.10/1.28 inference(cnf_transformation,[],[f9])).
% 1.10/1.28
% 1.10/1.28 tff(f12,plain,(
% 1.10/1.28 ( ! [X5 : '$ki_world'] : (p(X5) | ~q(X5) | ~'$ki_accessible'('$ki_local_world',X5)) )),
% 1.10/1.28 inference(cnf_transformation,[],[f9])).
% 1.10/1.28
% 1.10/1.28 tff(f14,plain,(
% 1.10/1.28 ( ! [X3 : '$ki_world',X4 : '$ki_world'] : (q(X3) | ~'$ki_accessible'(sK0,X3) | p(X4) | ~'$ki_accessible'(sK0,X4)) )),
% 1.10/1.28 inference(cnf_transformation,[],[f9])).
% 1.10/1.28
% 1.10/1.28 tff(f18,plain,(
% 1.10/1.28 ~q(sK1) | ~p(sK2)),
% 1.10/1.28 inference(cnf_transformation,[],[f9])).
% 1.10/1.28
% 1.10/1.28 tcf(c_49,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.10/1.28 ('$ki_accessible'(X0_'ki_world',X1_'ki_world')),
% 1.10/1.28 inference(cnf_transformation,[],[f10])).
% 1.10/1.28
% 1.10/1.28 tcf(c_50,negated_conjecture,
% 1.10/1.28 (~p(sK2)|~q(sK1)),
% 1.10/1.28 inference(cnf_transformation,[],[f18])).
% 1.10/1.28
% 1.10/1.28 tcf(c_54,negated_conjecture,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.10/1.28 (~'$ki_accessible'(sK0,X0_'ki_world')|~'$ki_accessible'(sK0,X1_'ki_world')|
% 1.10/1.28 p(X0_'ki_world')|q(X1_'ki_world')),
% 1.10/1.28 inference(cnf_transformation,[],[f14])).
% 1.10/1.28
% 1.10/1.28 tcf(c_56,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.10/1.28 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~q(X0_'ki_world')|
% 1.10/1.28 p(X0_'ki_world')),
% 1.10/1.28 inference(cnf_transformation,[],[f12])).
% 1.10/1.28
% 1.10/1.28 tcf(c_57,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.10/1.28 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~p(X0_'ki_world')|
% 1.10/1.28 q(X0_'ki_world')),
% 1.10/1.28 inference(cnf_transformation,[],[f11])).
% 1.10/1.28
% 1.10/1.28 tcf(c_64,plain,![X0_'ki_world':'$ki_world']:
% 1.10/1.28 (~q(X0_'ki_world')|p(X0_'ki_world')),
% 1.10/1.28 inference(backward_subsumption_resolution,[status(thm)],[c_56,c_49])).
% 1.10/1.28
% 1.10/1.28 tcf(c_65,plain,![X0_'ki_world':'$ki_world']:
% 1.10/1.28 (~p(X0_'ki_world')|q(X0_'ki_world')),
% 1.10/1.28 inference(backward_subsumption_resolution,[status(thm)],[c_57,c_49])).
% 1.10/1.28
% 1.10/1.28 tcf(c_66,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.10/1.28 (~'$ki_accessible'(sK0,X0_'ki_world')|p(X1_'ki_world')|q(X0_'ki_world')),
% 1.10/1.28 inference(backward_subsumption_resolution,[status(thm)],[c_54,c_49])).
% 1.10/1.28
% 1.10/1.28 tcf(c_84,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.10/1.28 (p(X0_'ki_world')|q(X1_'ki_world')),
% 1.10/1.28 inference(forward_subsumption_resolution,[status(thm)],[c_66,c_49])).
% 1.10/1.28
% 1.10/1.28 tcf(c_91,plain,![X0_'ki_world':'$ki_world']:
% 1.10/1.28 (q(X0_'ki_world')),
% 1.10/1.28 inference(backward_subsumption_resolution,[status(thm)],[c_65,c_84])).
% 1.10/1.28
% 1.10/1.28 tcf(c_93,plain,![X0_'ki_world':'$ki_world']:
% 1.10/1.28 (p(X0_'ki_world')),
% 1.10/1.28 inference(backward_subsumption_resolution,[status(thm)],[c_64,c_84])).
% 1.10/1.28
% 1.10/1.28 tcf(c_98,plain,
% 1.10/1.28 (~p(sK2)),
% 1.10/1.28 inference(backward_subsumption_resolution,[status(thm)],[c_50,c_91])).
% 1.10/1.28
% 1.10/1.28 tcf(c_101,plain,
% 1.10/1.28 ($false),
% 1.10/1.28 inference(backward_subsumption_resolution,[status(thm)],[c_98,c_93])).
% 1.10/1.28
% 1.10/1.28
% 1.10/1.28 % SZS output end CNFRefutation for theBenchmark.p
% 1.10/1.28
% 1.10/1.28
%------------------------------------------------------------------------------