%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : DAT334_8 : 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 01:14:16 PM UTC 2026
% Result : Theorem 1.12s 1.28s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT334_8 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 10:32:04 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.12/1.28 % SZS status Started for theBenchmark.p
% 1.12/1.28 % SZS status Theorem for theBenchmark.p
% 1.12/1.28
% 1.12/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.12/1.28
% 1.12/1.28 % ------ iProver source info
% 1.12/1.28
% 1.12/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.12/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.12/1.28 % git: non_committed_changes: false
% 1.12/1.28
% 1.12/1.28 % ------ Parsing...
% 1.12/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.12/1.28 %
% 1.12/1.28
% 1.12/1.28 % ------ Preprocessing... pe_s pe:1:0s%
% 1.12/1.28
% 1.12/1.28 % SZS status Theorem for theBenchmark.p
% 1.12/1.28
% 1.12/1.28 % SZS output start CNFRefutation for theBenchmark.p
% 1.12/1.28
% 1.12/1.28 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.12/1.28 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.12/1.28 tff(pred_def_2, type, teach: ('$ki_world' * $i * $i) > $o).
% 1.12/1.28 tff(pred_def_3, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 1.12/1.28 tff(type_def_5, type, '$ki_world': $tType).
% 1.12/1.28 tff(func_def_7, type, sK0: '$ki_world' > $i).
% 1.12/1.28 tff(func_def_8, type, sK1: '$ki_world' > $i).
% 1.12/1.28 tff(func_def_9, type, sK2: '$ki_world').
% 1.12/1.28 tff(f3,axiom,(
% 1.12/1.28 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (teach(X0,john,math) & ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & teach(X0,X1,cs)) & teach(X0,mary,psych) & teach(X0,sue,psych)))),
% 1.12/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',db)).
% 1.12/1.28
% 1.12/1.28 tff(f4,conjecture,(
% 1.12/1.28 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & teach(X0,X1,cs)))),
% 1.12/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.12/1.28
% 1.12/1.28 tff(f5,negated_conjecture,(
% 1.12/1.28 ~ ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & teach(X0,X1,cs)))),
% 1.12/1.28 inference(negated_conjecture,[status(cth)],[f4])).
% 1.12/1.28
% 1.12/1.28 tff(f6,plain,(
% 1.12/1.28 ! [X0 : '$ki_world'] : ((teach(X0,john,math) & ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & teach(X0,X1,cs)) & teach(X0,mary,psych) & teach(X0,sue,psych)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.12/1.28 inference(ennf_transformation,[],[f3])).
% 1.12/1.28
% 1.12/1.28 tff(f7,plain,(
% 1.12/1.28 ? [X0 : '$ki_world'] : (! [X1 : $i] : (~'$ki_exists_in_world_$i'(X0,X1) | ~teach(X0,X1,cs)) & '$ki_accessible'('$ki_local_world',X0))),
% 1.12/1.28 inference(ennf_transformation,[],[f5])).
% 1.12/1.28
% 1.12/1.28 tff(f9,plain,(
% 1.12/1.28 ! [X0 : '$ki_world'] : ((teach(X0,john,math) & ('$ki_exists_in_world_$i'(X0,sK1(X0)) & teach(X0,sK1(X0),cs)) & teach(X0,mary,psych) & teach(X0,sue,psych)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.12/1.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f6])).
% 1.12/1.28
% 1.12/1.28 tff(f10,plain,(
% 1.12/1.28 ! [X1 : $i] : (~'$ki_exists_in_world_$i'(sK2,X1) | ~teach(sK2,X1,cs)) & '$ki_accessible'('$ki_local_world',sK2)),
% 1.12/1.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f7])).
% 1.12/1.28
% 1.12/1.28 tff(f15,plain,(
% 1.12/1.28 ( ! [X0 : '$ki_world'] : (teach(X0,sK1(X0),cs) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.12/1.28 inference(cnf_transformation,[],[f9])).
% 1.12/1.28
% 1.12/1.28 tff(f16,plain,(
% 1.12/1.28 ( ! [X0 : '$ki_world'] : ('$ki_exists_in_world_$i'(X0,sK1(X0)) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.12/1.28 inference(cnf_transformation,[],[f9])).
% 1.12/1.28
% 1.12/1.28 tff(f18,plain,(
% 1.12/1.28 '$ki_accessible'('$ki_local_world',sK2)),
% 1.12/1.28 inference(cnf_transformation,[],[f10])).
% 1.12/1.28
% 1.12/1.28 tff(f19,plain,(
% 1.12/1.28 ( ! [X1 : $i] : (~'$ki_exists_in_world_$i'(sK2,X1) | ~teach(sK2,X1,cs)) )),
% 1.12/1.28 inference(cnf_transformation,[],[f10])).
% 1.12/1.28
% 1.12/1.28 tcf(c_52,plain,![X0_'ki_world':'$ki_world']:
% 1.12/1.28 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|'$ki_exists_in_world(X0_'ki_world',sK1(X0_'ki_world'))),
% 1.12/1.28 inference(cnf_transformation,[],[f16])).
% 1.12/1.28
% 1.12/1.28 tcf(c_53,plain,![X0_'ki_world':'$ki_world']:
% 1.12/1.28 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|teach(X0_'ki_world',sK1(X0_'ki_world'),cs)),
% 1.12/1.28 inference(cnf_transformation,[],[f15])).
% 1.12/1.28
% 1.12/1.28 tcf(c_56,negated_conjecture,![X0:$i]:
% 1.12/1.28 (~teach(sK2,X0,cs)|~'$ki_exists_in_world(sK2,X0)),
% 1.12/1.28 inference(cnf_transformation,[],[f19])).
% 1.12/1.28
% 1.12/1.28 tcf(c_57,negated_conjecture,
% 1.12/1.28 ('$ki_accessible'('$ki_local_world',sK2)),
% 1.12/1.28 inference(cnf_transformation,[],[f18])).
% 1.12/1.28
% 1.12/1.28 tcf(c_100,plain,
% 1.12/1.28 (~teach(sK2,sK1(sK2),cs)|~'$ki_accessible'('$ki_local_world',sK2)),
% 1.12/1.28 inference(resolution,[status(thm)],[c_52,c_56])).
% 1.12/1.28
% 1.12/1.28 tcf(c_132,plain,
% 1.12/1.28 (teach(sK2,sK1(sK2),cs)),
% 1.12/1.28 inference(resolution,[status(thm)],[c_53,c_57])).
% 1.12/1.28
% 1.12/1.28 tcf(c_133,plain,
% 1.12/1.28 ($false),
% 1.12/1.28 inference(prop_impl_just,[status(thm)],[c_132,c_100,c_57])).
% 1.12/1.28
% 1.12/1.28
% 1.12/1.28 % SZS output end CNFRefutation for theBenchmark.p
% 1.12/1.28
% 1.12/1.28
%------------------------------------------------------------------------------