%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO886_6 : 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 : n019.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 03:52:15 PM UTC 2026
% Result : Theorem 1.15s 1.31s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO886_6 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 % Computer : n019.cluster.edu
% 0.09/0.41 % Model : x86_64 x86_64
% 0.09/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.41 % Memory : 8046.5625MB
% 0.09/0.41 % OS : Linux 6.8.0-71-generic
% 0.09/0.41 % CPULimit : 300
% 0.09/0.41 % WCLimit : 300
% 0.09/0.41 % DateTime : Fri Sep 25 03:57:49 UTC 2026
% 0.09/0.41 % CPUTime :
% 0.09/0.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.45 Running first-order theorem proving
% 0.09/0.45 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
% 0.14/0.46
% 0.14/0.46 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.46
% 0.14/0.46 % Detected problem language: tptp
% 0.14/0.47 % Proving...
% 1.15/1.31 % SZS status Started for theBenchmark.p
% 1.15/1.31 % SZS status Theorem for theBenchmark.p
% 1.15/1.31
% 1.15/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.15/1.31
% 1.15/1.31 % ------ iProver source info
% 1.15/1.31
% 1.15/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 1.15/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.15/1.31 % git: non_committed_changes: false
% 1.15/1.31
% 1.15/1.31 % ------ Parsing...
% 1.15/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.15/1.31 %
% 1.15/1.31
% 1.15/1.31 % ------ Preprocessing... pe_s pe:1:0s%
% 1.15/1.31
% 1.15/1.31 % SZS status Theorem for theBenchmark.p
% 1.15/1.31
% 1.15/1.31 % SZS output start CNFRefutation for theBenchmark.p
% 1.15/1.31
% 1.15/1.31 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.15/1.31 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.15/1.31 tff(pred_def_2, type, f: ('$ki_world' * $i) > $o).
% 1.15/1.31 tff(pred_def_3, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 1.15/1.31 tff(type_def_5, type, '$ki_world': $tType).
% 1.15/1.31 tff(f2,axiom,(
% 1.15/1.31 ! [X0 : '$ki_world',X1 : $i] : '$ki_exists_in_world_$i'(X0,X1)),
% 1.15/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const')).
% 1.15/1.31
% 1.15/1.31 tff(f4,conjecture,(
% 1.15/1.31 ! [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => f(X1,X0))) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => ! [X0 : $i] : ('$ki_exists_in_world_$i'(X1,X0) => f(X1,X0)))),
% 1.15/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.15/1.31
% 1.15/1.31 tff(f5,negated_conjecture,(
% 1.15/1.31 ~(! [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => f(X1,X0))) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => ! [X0 : $i] : ('$ki_exists_in_world_$i'(X1,X0) => f(X1,X0))))),
% 1.15/1.31 inference(negated_conjecture,[status(cth)],[f4])).
% 1.15/1.31
% 1.15/1.31 tff(f6,plain,(
% 1.15/1.31 ~(! [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => f(X1,X0))) => ! [X2 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X2) => ! [X3 : $i] : ('$ki_exists_in_world_$i'(X2,X3) => f(X2,X3))))),
% 1.15/1.31 inference(rectify,[],[f5])).
% 1.15/1.31
% 1.15/1.31 tff(f7,plain,(
% 1.15/1.31 ? [X2 : '$ki_world'] : (? [X3 : $i] : (~f(X2,X3) & '$ki_exists_in_world_$i'(X2,X3)) & '$ki_accessible'('$ki_local_world',X2)) & ! [X0 : $i] : (! [X1 : '$ki_world'] : (f(X1,X0) | ~'$ki_accessible'('$ki_local_world',X1)) | ~'$ki_exists_in_world_$i'('$ki_local_world',X0))),
% 1.15/1.31 inference(ennf_transformation,[],[f6])).
% 1.15/1.31
% 1.15/1.31 tff(f10,plain,(
% 1.15/1.31 ? [X0 : '$ki_world'] : (? [X1 : $i] : (~f(X0,X1) & '$ki_exists_in_world_$i'(X0,X1)) & '$ki_accessible'('$ki_local_world',X0)) & ! [X2 : $i] : (! [X3 : '$ki_world'] : (f(X3,X2) | ~'$ki_accessible'('$ki_local_world',X3)) | ~'$ki_exists_in_world_$i'('$ki_local_world',X2))),
% 1.15/1.31 inference(rectify,[],[f7])).
% 1.15/1.31
% 1.15/1.31 tff(f11,plain,(
% 1.15/1.31 ((~f(sK2,sK3) & '$ki_exists_in_world_$i'(sK2,sK3)) & '$ki_accessible'('$ki_local_world',sK2)) & ! [X2 : $i] : (! [X3 : '$ki_world'] : (f(X3,X2) | ~'$ki_accessible'('$ki_local_world',X3)) | ~'$ki_exists_in_world_$i'('$ki_local_world',X2))),
% 1.15/1.31 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f10])).
% 1.15/1.31
% 1.15/1.31 tff(f13,plain,(
% 1.15/1.31 ( ! [X0 : '$ki_world',X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1)) )),
% 1.15/1.31 inference(cnf_transformation,[],[f2])).
% 1.15/1.31
% 1.15/1.31 tff(f15,plain,(
% 1.15/1.31 ( ! [X2 : $i,X3 : '$ki_world'] : (f(X3,X2) | ~'$ki_accessible'('$ki_local_world',X3) | ~'$ki_exists_in_world_$i'('$ki_local_world',X2)) )),
% 1.15/1.31 inference(cnf_transformation,[],[f11])).
% 1.15/1.31
% 1.15/1.31 tff(f16,plain,(
% 1.15/1.31 '$ki_accessible'('$ki_local_world',sK2)),
% 1.15/1.31 inference(cnf_transformation,[],[f11])).
% 1.15/1.31
% 1.15/1.31 tff(f18,plain,(
% 1.15/1.31 ~f(sK2,sK3)),
% 1.15/1.31 inference(cnf_transformation,[],[f11])).
% 1.15/1.31
% 1.15/1.31 tcf(c_50,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.15/1.31 ('$ki_exists_in_world(X0_'ki_world',X0)),
% 1.15/1.31 inference(cnf_transformation,[],[f13])).
% 1.15/1.31
% 1.15/1.31 tcf(c_52,negated_conjecture,
% 1.15/1.31 (~f(sK2,sK3)),
% 1.15/1.31 inference(cnf_transformation,[],[f18])).
% 1.15/1.31
% 1.15/1.31 tcf(c_54,negated_conjecture,
% 1.15/1.31 ('$ki_accessible'('$ki_local_world',sK2)),
% 1.15/1.31 inference(cnf_transformation,[],[f16])).
% 1.15/1.31
% 1.15/1.31 tcf(c_55,negated_conjecture,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.15/1.31 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~'$ki_exists_in_world('$ki_local_world',X0)|
% 1.15/1.31 f(X0_'ki_world',X0)),
% 1.15/1.31 inference(cnf_transformation,[],[f15])).
% 1.15/1.31
% 1.15/1.31 tcf(c_62,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.15/1.31 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|f(X0_'ki_world',X0)),
% 1.15/1.31 inference(backward_subsumption_resolution,[status(thm)],[c_55,c_50])).
% 1.15/1.31
% 1.15/1.31 tcf(c_74,plain,
% 1.15/1.31 (~'$ki_accessible'('$ki_local_world',sK2)),
% 1.15/1.31 inference(resolution,[status(thm)],[c_52,c_62])).
% 1.15/1.31
% 1.15/1.31 tcf(c_75,plain,
% 1.15/1.31 ($false),
% 1.15/1.31 inference(prop_impl_just,[status(thm)],[c_74,c_54])).
% 1.15/1.31
% 1.15/1.31
% 1.15/1.31 % SZS output end CNFRefutation for theBenchmark.p
% 1.15/1.31
% 1.15/1.31
%------------------------------------------------------------------------------