%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : DAT334_23 : 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 : n002.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 01:14:15 PM UTC 2026
% Result : Theorem 1.13s 1.27s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT334_23 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 10:33:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.13/1.27 % SZS status Started for theBenchmark.p
% 1.13/1.27 % SZS status Theorem for theBenchmark.p
% 1.13/1.27
% 1.13/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.13/1.27
% 1.13/1.27 % ------ iProver source info
% 1.13/1.27
% 1.13/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.13/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.13/1.27 % git: non_committed_changes: false
% 1.13/1.27
% 1.13/1.27 % ------ Parsing...
% 1.13/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.13/1.27 %
% 1.13/1.27
% 1.13/1.27 % ------ Preprocessing... pe_s pe:1:0s%
% 1.13/1.27
% 1.13/1.27 % SZS status Theorem for theBenchmark.p
% 1.13/1.27
% 1.13/1.27 % SZS output start CNFRefutation for theBenchmark.p
% 1.13/1.27
% 1.13/1.27 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.13/1.27 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.13/1.27 tff(pred_def_2, type, teach: ('$ki_world' * $i * $i) > $o).
% 1.13/1.27 tff(pred_def_3, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 1.13/1.27 tff(type_def_5, type, '$ki_world': $tType).
% 1.13/1.27 tff(func_def_7, type, sK0: '$ki_world' > $i).
% 1.13/1.27 tff(func_def_8, type, sK1: '$ki_world' > $i).
% 1.13/1.27 tff(func_def_9, type, sK2: '$ki_world').
% 1.13/1.27 tff(f1,axiom,(
% 1.13/1.27 ! [X0 : '$ki_world',X1 : '$ki_world'] : '$ki_accessible'(X0,X1)),
% 1.13/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal)).
% 1.13/1.27
% 1.13/1.27 tff(f2,axiom,(
% 1.13/1.27 ! [X0 : '$ki_world',X1 : $i] : '$ki_exists_in_world_$i'(X0,X1)),
% 1.13/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const')).
% 1.13/1.27
% 1.13/1.27 tff(f4,axiom,(
% 1.13/1.27 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (teach(X0,john,math) & ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & teach(X0,X1,cs)) & teach(X0,mary,psych) & teach(X0,sue,psych)))),
% 1.13/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',db)).
% 1.13/1.27
% 1.13/1.27 tff(f5,conjecture,(
% 1.13/1.27 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & teach(X0,X1,cs)))),
% 1.13/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.13/1.27
% 1.13/1.27 tff(f6,negated_conjecture,(
% 1.13/1.27 ~ ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & teach(X0,X1,cs)))),
% 1.13/1.27 inference(negated_conjecture,[status(cth)],[f5])).
% 1.13/1.27
% 1.13/1.27 tff(f7,plain,(
% 1.13/1.27 ! [X0 : '$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'('$ki_local_world',X0))),
% 1.13/1.27 inference(ennf_transformation,[],[f4])).
% 1.13/1.27
% 1.13/1.27 tff(f8,plain,(
% 1.13/1.27 ? [X0 : '$ki_world'] : (! [X1 : $i] : (~'$ki_exists_in_world_$i'(X0,X1) | ~teach(X0,X1,cs)) & '$ki_accessible'('$ki_local_world',X0))),
% 1.13/1.27 inference(ennf_transformation,[],[f6])).
% 1.13/1.27
% 1.13/1.27 tff(f10,plain,(
% 1.13/1.27 ! [X0 : '$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))),
% 1.13/1.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f7])).
% 1.13/1.27
% 1.13/1.27 tff(f11,plain,(
% 1.13/1.27 ! [X1 : $i] : (~'$ki_exists_in_world_$i'(sK2,X1) | ~teach(sK2,X1,cs)) & '$ki_accessible'('$ki_local_world',sK2)),
% 1.13/1.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f8])).
% 1.13/1.27
% 1.13/1.27 tff(f12,plain,(
% 1.13/1.27 ( ! [X0 : '$ki_world',X1 : '$ki_world'] : ('$ki_accessible'(X0,X1)) )),
% 1.13/1.27 inference(cnf_transformation,[],[f1])).
% 1.13/1.27
% 1.13/1.27 tff(f13,plain,(
% 1.13/1.27 ( ! [X0 : '$ki_world',X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1)) )),
% 1.13/1.27 inference(cnf_transformation,[],[f2])).
% 1.13/1.27
% 1.13/1.27 tff(f17,plain,(
% 1.13/1.27 ( ! [X0 : '$ki_world'] : (teach(X0,sK1(X0),cs) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.13/1.27 inference(cnf_transformation,[],[f10])).
% 1.13/1.27
% 1.13/1.27 tff(f21,plain,(
% 1.13/1.27 ( ! [X1 : $i] : (~'$ki_exists_in_world_$i'(sK2,X1) | ~teach(sK2,X1,cs)) )),
% 1.13/1.27 inference(cnf_transformation,[],[f11])).
% 1.13/1.27
% 1.13/1.27 tcf(c_49,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.13/1.27 ('$ki_accessible'(X0_'ki_world',X1_'ki_world')),
% 1.13/1.27 inference(cnf_transformation,[],[f12])).
% 1.13/1.27
% 1.13/1.27 tcf(c_50,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.13/1.27 ('$ki_exists_in_world(X0_'ki_world',X0)),
% 1.13/1.27 inference(cnf_transformation,[],[f13])).
% 1.13/1.27
% 1.13/1.27 tcf(c_54,plain,![X0_'ki_world':'$ki_world']:
% 1.13/1.27 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|teach(X0_'ki_world',sK1(X0_'ki_world'),cs)),
% 1.13/1.27 inference(cnf_transformation,[],[f17])).
% 1.13/1.27
% 1.13/1.27 tcf(c_57,negated_conjecture,![X0:$i]:
% 1.13/1.27 (~teach(sK2,X0,cs)|~'$ki_exists_in_world(sK2,X0)),
% 1.13/1.27 inference(cnf_transformation,[],[f21])).
% 1.13/1.27
% 1.13/1.27 tcf(c_74,plain,![X0_'ki_world':'$ki_world']:
% 1.13/1.27 (teach(X0_'ki_world',sK1(X0_'ki_world'),cs)),
% 1.13/1.27 inference(backward_subsumption_resolution,[status(thm)],[c_54,c_49])).
% 1.13/1.27
% 1.13/1.27 tcf(c_82,plain,![X0:$i]:
% 1.13/1.27 (~teach(sK2,X0,cs)),
% 1.13/1.27 inference(backward_subsumption_resolution,[status(thm)],[c_57,c_50])).
% 1.13/1.27
% 1.13/1.27 tcf(c_94,plain, ($false),inference(resolution,[status(thm)],[c_74,c_82])).
% 1.13/1.27
% 1.13/1.27
% 1.13/1.27 % SZS output end CNFRefutation for theBenchmark.p
% 1.13/1.27
% 1.13/1.27
%------------------------------------------------------------------------------