%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO890_16 : 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 : n003.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 03:52:16 PM UTC 2026
% Result : Theorem 1.52s 1.48s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO890_16 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.57 % Computer : n003.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Fri Sep 25 03:59:52 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.61 Running first-order theorem proving
% 0.09/0.61 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
% 0.13/0.63
% 0.13/0.63 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.63
% 0.13/0.63 % Detected problem language: tptp
% 0.13/0.64 % Proving...
% 1.52/1.48 % SZS status Started for theBenchmark.p
% 1.52/1.48 % SZS status Theorem for theBenchmark.p
% 1.52/1.48
% 1.52/1.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.52/1.48
% 1.52/1.48 % ------ iProver source info
% 1.52/1.48
% 1.52/1.48 % git: date: 2026-07-19 20:42:38 +0200
% 1.52/1.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.52/1.48 % git: non_committed_changes: false
% 1.52/1.48
% 1.52/1.48 % ------ Parsing...
% 1.52/1.48 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.52/1.48 %
% 1.52/1.48
% 1.52/1.48 % ------ Preprocessing... pe_s pe:1:0s pe_e pe_s pe_e %
% 1.52/1.48
% 1.52/1.48 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.52/1.48 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.52/1.48 % ------ Proving...
% 1.52/1.48 % ------ Problem Properties
% 1.52/1.48
% 1.52/1.48 %
% 1.52/1.48 % clauses 7
% 1.52/1.48 % conjectures 2
% 1.52/1.48 % EPR 6
% 1.52/1.48 % Horn 7
% 1.52/1.48 % unary 5
% 1.52/1.48 % binary 0
% 1.52/1.48 % lits 11
% 1.52/1.48 % lits eq 0
% 1.52/1.48 % fd_pure 0
% 1.52/1.48 % fd_pseudo 0
% 1.52/1.48 % fd_cond 0
% 1.52/1.48 % fd_pseudo_cond 0
% 1.52/1.48 % AC symbols 0
% 1.52/1.48
% 1.52/1.48 % ------ Schedule dynamic 5 is on
% 1.52/1.48
% 1.52/1.48 % ------ no equalities: superposition off
% 1.52/1.48
% 1.52/1.48 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.52/1.48
% 1.52/1.48
% 1.52/1.48 % ------
% 1.52/1.48 % Current options:
% 1.52/1.48 % ------
% 1.52/1.48
% 1.52/1.48
% 1.52/1.48 %
% 1.52/1.48
% 1.52/1.48 % ------ Proving...
% 1.52/1.48 %
% 1.52/1.48
% 1.52/1.48 % SZS status Theorem for theBenchmark.p
% 1.52/1.48
% 1.52/1.48 % SZS output start CNFRefutation for theBenchmark.p
% 1.52/1.48
% 1.52/1.48 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.52/1.48 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.52/1.48 tff(pred_def_2, type, e: ('$ki_world' * $i) > $o).
% 1.52/1.48 tff(pred_def_3, type, f: ('$ki_world' * $i) > $o).
% 1.52/1.48 tff(pred_def_4, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 1.52/1.48 tff(type_def_5, type, '$ki_world': $tType).
% 1.52/1.48 tff(f3,axiom,(
% 1.52/1.48 ! [X0 : '$ki_world',X1 : '$ki_world',X2 : $i] : (('$ki_exists_in_world_$i'(X0,X2) & '$ki_accessible'(X0,X1)) => '$ki_exists_in_world_$i'(X1,X2))),
% 1.52/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_cumul')).
% 1.52/1.48
% 1.52/1.48 tff(f5,conjecture,(
% 1.52/1.48 ? [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => (e(X1,X0) & f(X1,X0)))) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => ? [X0 : $i] : ('$ki_exists_in_world_$i'(X1,X0) & f(X1,X0)))),
% 1.52/1.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.52/1.48
% 1.52/1.48 tff(f6,negated_conjecture,(
% 1.52/1.48 ~(? [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => (e(X1,X0) & f(X1,X0)))) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => ? [X0 : $i] : ('$ki_exists_in_world_$i'(X1,X0) & f(X1,X0))))),
% 1.52/1.48 inference(negated_conjecture,[status(cth)],[f5])).
% 1.52/1.48
% 1.52/1.48 tff(f7,plain,(
% 1.52/1.48 ~(? [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => (e(X1,X0) & f(X1,X0)))) => ! [X2 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X2) => ? [X3 : $i] : ('$ki_exists_in_world_$i'(X2,X3) & f(X2,X3))))),
% 1.52/1.48 inference(rectify,[],[f6])).
% 1.52/1.48
% 1.52/1.48 tff(f8,plain,(
% 1.52/1.48 ~(? [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_$i'(X2,X3) & f(X2,X3))))),
% 1.52/1.48 inference(pure_predicate_removal,[],[f7])).
% 1.52/1.48
% 1.52/1.48 tff(f11,plain,(
% 1.52/1.48 ! [X0 : '$ki_world',X1 : '$ki_world',X2 : $i] : ('$ki_exists_in_world_$i'(X1,X2) | (~'$ki_exists_in_world_$i'(X0,X2) | ~'$ki_accessible'(X0,X1)))),
% 1.52/1.48 inference(ennf_transformation,[],[f3])).
% 1.52/1.48
% 1.52/1.48 tff(f12,plain,(
% 1.52/1.48 ! [X0 : '$ki_world',X1 : '$ki_world',X2 : $i] : ('$ki_exists_in_world_$i'(X1,X2) | ~'$ki_exists_in_world_$i'(X0,X2) | ~'$ki_accessible'(X0,X1))),
% 1.52/1.48 inference(flattening,[],[f11])).
% 1.52/1.48
% 1.52/1.48 tff(f13,plain,(
% 1.52/1.48 ? [X2 : '$ki_world'] : (! [X3 : $i] : (~'$ki_exists_in_world_$i'(X2,X3) | ~f(X2,X3)) & '$ki_accessible'('$ki_local_world',X2)) & ? [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : (f(X1,X0) | ~'$ki_accessible'('$ki_local_world',X1)))),
% 1.52/1.48 inference(ennf_transformation,[],[f8])).
% 1.52/1.48
% 1.52/1.48 tff(f15,plain,(
% 1.52/1.48 ? [X0 : '$ki_world'] : (! [X1 : $i] : (~'$ki_exists_in_world_$i'(X0,X1) | ~f(X0,X1)) & '$ki_accessible'('$ki_local_world',X0)) & ? [X2 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X2) & ! [X3 : '$ki_world'] : (f(X3,X2) | ~'$ki_accessible'('$ki_local_world',X3)))),
% 1.52/1.48 inference(rectify,[],[f13])).
% 1.52/1.48
% 1.52/1.48 tff(f16,plain,(
% 1.52/1.48 (! [X1 : $i] : (~'$ki_exists_in_world_$i'(sK1,X1) | ~f(sK1,X1)) & '$ki_accessible'('$ki_local_world',sK1)) & ('$ki_exists_in_world_$i'('$ki_local_world',sK2) & ! [X3 : '$ki_world'] : (f(X3,sK2) | ~'$ki_accessible'('$ki_local_world',X3)))),
% 1.52/1.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X2,sK2)],[f15])).
% 1.52/1.48
% 1.52/1.48 tff(f19,plain,(
% 1.52/1.48 ( ! [X2 : $i,X0 : '$ki_world',X1 : '$ki_world'] : ('$ki_exists_in_world_$i'(X1,X2) | ~'$ki_exists_in_world_$i'(X0,X2) | ~'$ki_accessible'(X0,X1)) )),
% 1.52/1.48 inference(cnf_transformation,[],[f12])).
% 1.52/1.48
% 1.52/1.48 tff(f21,plain,(
% 1.52/1.48 ( ! [X3 : '$ki_world'] : (f(X3,sK2) | ~'$ki_accessible'('$ki_local_world',X3)) )),
% 1.52/1.48 inference(cnf_transformation,[],[f16])).
% 1.52/1.48
% 1.52/1.48 tff(f22,plain,(
% 1.52/1.48 '$ki_exists_in_world_$i'('$ki_local_world',sK2)),
% 1.52/1.48 inference(cnf_transformation,[],[f16])).
% 1.52/1.48
% 1.52/1.48 tff(f23,plain,(
% 1.52/1.48 '$ki_accessible'('$ki_local_world',sK1)),
% 1.52/1.48 inference(cnf_transformation,[],[f16])).
% 1.52/1.48
% 1.52/1.48 tff(f24,plain,(
% 1.52/1.48 ( ! [X1 : $i] : (~'$ki_exists_in_world_$i'(sK1,X1) | ~f(sK1,X1)) )),
% 1.52/1.48 inference(cnf_transformation,[],[f16])).
% 1.52/1.48
% 1.52/1.48 tcf(c_51,plain,![X0:$i,X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.52/1.48 (~'$ki_accessible'(X0_'ki_world',X1_'ki_world')|~'$ki_exists_in_world(X0_'ki_world',X0)|
% 1.52/1.48 '$ki_exists_in_world(X1_'ki_world',X0)),
% 1.52/1.48 inference(cnf_transformation,[],[f19])).
% 1.52/1.48
% 1.52/1.48 tcf(c_53,negated_conjecture,![X0:$i]:
% 1.52/1.48 (~f(sK1,X0)|~'$ki_exists_in_world(sK1,X0)),
% 1.52/1.48 inference(cnf_transformation,[],[f24])).
% 1.52/1.48
% 1.52/1.48 tcf(c_54,negated_conjecture,
% 1.52/1.48 ('$ki_accessible'('$ki_local_world',sK1)),
% 1.52/1.48 inference(cnf_transformation,[],[f23])).
% 1.52/1.48
% 1.52/1.48 tcf(c_55,negated_conjecture,
% 1.52/1.48 ('$ki_exists_in_world('$ki_local_world',sK2)),
% 1.52/1.48 inference(cnf_transformation,[],[f22])).
% 1.52/1.48
% 1.52/1.48 tcf(c_56,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.52/1.48 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|f(X0_'ki_world',sK2)),
% 1.52/1.48 inference(cnf_transformation,[],[f21])).
% 1.52/1.48
% 1.52/1.48 tcf(c_89,plain,
% 1.52/1.48 (~'$ki_accessible'('$ki_local_world',sK1)|~'$ki_exists_in_world(sK1,sK2)),
% 1.52/1.48 inference(resolution,[status(thm)],[c_53,c_56])).
% 1.52/1.48
% 1.52/1.48 tcf(c_121,plain,![X0_'ki_world':'$ki_world']:
% 1.52/1.48 (~'$ki_accessible'(X0_'ki_world',sK1)|~'$ki_exists_in_world(X0_'ki_world',sK2)|
% 1.52/1.48 '$ki_exists_in_world(sK1,sK2)),
% 1.52/1.48 inference(instantiation,[status(thm)],[c_51])).
% 1.52/1.48
% 1.52/1.48 tcf(c_122,plain,
% 1.52/1.48 (~'$ki_accessible'('$ki_local_world',sK1)|~'$ki_exists_in_world('$ki_local_world',sK2)|
% 1.52/1.48 '$ki_exists_in_world(sK1,sK2)),
% 1.52/1.48 inference(instantiation,[status(thm)],[c_121])).
% 1.52/1.48
% 1.52/1.48 tcf(c_123,plain,
% 1.52/1.48 ($false),
% 1.52/1.48 inference(prop_impl_just,[status(thm)],[c_122,c_89,c_54,c_55])).
% 1.52/1.48
% 1.52/1.48
% 1.52/1.48 % SZS output end CNFRefutation for theBenchmark.p
% 1.52/1.48
% 1.52/1.48
%------------------------------------------------------------------------------