%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL954_19 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 02:08:44 PM UTC 2026
% Result : Theorem 4.20s 1.26s
% Output : CNFRefutation 4.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL954_19 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.34 % Computer : n026.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Thu Sep 24 00:45:38 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 4.20/1.26 % SZS status Started for theBenchmark.p
% 4.20/1.26 % SZS status Theorem for theBenchmark.p
% 4.20/1.26
% 4.20/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.20/1.26
% 4.20/1.26 % ------ iProver source info
% 4.20/1.26
% 4.20/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 4.20/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.20/1.26 % git: non_committed_changes: false
% 4.20/1.26
% 4.20/1.26 % ------ Parsing...
% 4.20/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 4.20/1.26 %
% 4.20/1.26
% 4.20/1.26 % ------ Preprocessing... pe_s %
% 4.20/1.26
% 4.20/1.26 % SZS status Theorem for theBenchmark.p
% 4.20/1.26
% 4.20/1.26 % SZS output start CNFRefutation for theBenchmark.p
% 4.20/1.26
% 4.20/1.26 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 4.20/1.26 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 4.20/1.26 tff(pred_def_2, type, customqmltpeq: ('$ki_world' * $i * $i) > $o).
% 4.20/1.26 tff(pred_def_3, type, true: '$ki_world' > $o).
% 4.20/1.26 tff(pred_def_4, type, geq: ('$ki_world' * $i * $i) > $o).
% 4.20/1.26 tff(pred_def_5, type, lt: ('$ki_world' * $i * $i) > $o).
% 4.20/1.26 tff(pred_def_6, type, leq: ('$ki_world' * $i * $i) > $o).
% 4.20/1.26 tff(pred_def_7, type, gt: ('$ki_world' * $i * $i) > $o).
% 4.20/1.26 tff(pred_def_8, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 4.20/1.26 tff(func_def_29, type, sK0: '$ki_world').
% 4.20/1.26 tff(func_def_30, type, sK1: '$ki_world').
% 4.20/1.26 tff(func_def_31, type, sK2: ($i * $i * '$ki_world') > '$ki_world').
% 4.20/1.26 tff(func_def_32, type, sK3: ($i * $i * '$ki_world') > '$ki_world').
% 4.20/1.26 tff(func_def_33, type, sK4: ($i * $i * '$ki_world') > '$ki_world').
% 4.20/1.26 tff(func_def_34, type, sK5: '$ki_world' > $i).
% 4.20/1.26 tff(f137,conjecture,(
% 4.20/1.26 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => true(X1)) => ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => true(X1))))),
% 4.20/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify)).
% 4.20/1.26
% 4.20/1.26 tff(f138,negated_conjecture,(
% 4.20/1.26 ~ ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => true(X1)) => ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => true(X1))))),
% 4.20/1.26 inference(negated_conjecture,[status(cth)],[f137])).
% 4.20/1.26
% 4.20/1.26 tff(f139,plain,(
% 4.20/1.26 ~ ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => true(X1)) => ! [X2 : '$ki_world'] : ('$ki_accessible'(X0,X2) => true(X2))))),
% 4.20/1.26 inference(rectify,[],[f138])).
% 4.20/1.26
% 4.20/1.26 tff(f142,plain,(
% 4.20/1.26 ? [X0 : '$ki_world'] : ((? [X2 : '$ki_world'] : (~true(X2) & '$ki_accessible'(X0,X2)) & ! [X1 : '$ki_world'] : (true(X1) | ~'$ki_accessible'(X0,X1))) & '$ki_accessible'('$ki_local_world',X0))),
% 4.20/1.26 inference(ennf_transformation,[],[f139])).
% 4.20/1.26
% 4.20/1.26 tff(f143,plain,(
% 4.20/1.26 ? [X0 : '$ki_world'] : (? [X2 : '$ki_world'] : (~true(X2) & '$ki_accessible'(X0,X2)) & ! [X1 : '$ki_world'] : (true(X1) | ~'$ki_accessible'(X0,X1)) & '$ki_accessible'('$ki_local_world',X0))),
% 4.20/1.26 inference(flattening,[],[f142])).
% 4.20/1.26
% 4.20/1.26 tff(f152,plain,(
% 4.20/1.26 ? [X0 : '$ki_world'] : (? [X1 : '$ki_world'] : (~true(X1) & '$ki_accessible'(X0,X1)) & ! [X2 : '$ki_world'] : (true(X2) | ~'$ki_accessible'(X0,X2)) & '$ki_accessible'('$ki_local_world',X0))),
% 4.20/1.26 inference(rectify,[],[f143])).
% 4.20/1.26
% 4.20/1.26 tff(f153,plain,(
% 4.20/1.26 (~true(sK1) & '$ki_accessible'(sK0,sK1)) & ! [X2 : '$ki_world'] : (true(X2) | ~'$ki_accessible'(sK0,X2)) & '$ki_accessible'('$ki_local_world',sK0)),
% 4.20/1.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f152])).
% 4.20/1.26
% 4.20/1.26 tff(f160,plain,(
% 4.20/1.26 ( ! [X2 : '$ki_world'] : (true(X2) | ~'$ki_accessible'(sK0,X2)) )),
% 4.20/1.26 inference(cnf_transformation,[],[f153])).
% 4.20/1.26
% 4.20/1.26 tff(f161,plain,(
% 4.20/1.26 '$ki_accessible'(sK0,sK1)),
% 4.20/1.26 inference(cnf_transformation,[],[f153])).
% 4.20/1.26
% 4.20/1.26 tff(f162,plain,(
% 4.20/1.26 ~true(sK1)),
% 4.20/1.26 inference(cnf_transformation,[],[f153])).
% 4.20/1.26
% 4.20/1.26 tcf(c_49,negated_conjecture,
% 4.20/1.26 (~true(sK1)),
% 4.20/1.26 inference(cnf_transformation,[],[f162])).
% 4.20/1.26
% 4.20/1.26 tcf(c_50,negated_conjecture,
% 4.20/1.26 ('$ki_accessible'(sK0,sK1)),
% 4.20/1.26 inference(cnf_transformation,[],[f161])).
% 4.20/1.26
% 4.20/1.26 tcf(c_51,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 4.20/1.26 (~'$ki_accessible'(sK0,X0_'ki_world')|true(X0_'ki_world')),
% 4.20/1.26 inference(cnf_transformation,[],[f160])).
% 4.20/1.26
% 4.20/1.26 tcf(c_225,plain,
% 4.20/1.26 (~'$ki_accessible'(sK0,sK1)),
% 4.20/1.26 inference(resolution,[status(thm)],[c_49,c_51])).
% 4.20/1.26
% 4.20/1.26 tcf(c_226,plain,
% 4.20/1.26 ($false),
% 4.20/1.26 inference(prop_impl_just,[status(thm)],[c_225,c_50])).
% 4.20/1.26
% 4.20/1.26
% 4.20/1.26 % SZS output end CNFRefutation for theBenchmark.p
% 4.20/1.26
% 4.20/1.26
%------------------------------------------------------------------------------