%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : DAT334_21 : 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 : n007.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 2.02s 1.28s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT334_21 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 10:28:54 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.02/1.28 % SZS status Started for theBenchmark.p
% 2.02/1.28 % SZS status Theorem for theBenchmark.p
% 2.02/1.28
% 2.02/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.02/1.28
% 2.02/1.28 % ------ iProver source info
% 2.02/1.28
% 2.02/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.02/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.02/1.28 % git: non_committed_changes: false
% 2.02/1.28
% 2.02/1.28 % ------ Parsing...
% 2.02/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 2.02/1.28 %
% 2.02/1.28
% 2.02/1.28 % ------ Preprocessing... pe_s pe:1:0s%
% 2.02/1.28
% 2.02/1.28 % SZS status Theorem for theBenchmark.p
% 2.02/1.28
% 2.02/1.28 % SZS output start CNFRefutation for theBenchmark.p
% 2.02/1.28
% 2.02/1.28 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 2.02/1.28 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 2.02/1.28 tff(pred_def_2, type, teach: ('$ki_world' * $i * $i) > $o).
% 2.02/1.28 tff(pred_def_3, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 2.02/1.28 tff(type_def_5, type, '$ki_world': $tType).
% 2.02/1.28 tff(func_def_7, type, sK0: '$ki_world' > '$ki_world').
% 2.02/1.28 tff(func_def_8, type, sK1: '$ki_world' > $i).
% 2.02/1.28 tff(func_def_9, type, sK2: '$ki_world' > $i).
% 2.02/1.28 tff(func_def_10, type, sK3: '$ki_world').
% 2.02/1.28 tff(f4,axiom,(
% 2.02/1.28 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (teach(X0,john,math) & ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & teach(X0,X1,cs)) & teach(X0,mary,psych) & teach(X0,sue,psych)))),
% 2.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',db)).
% 2.02/1.28
% 2.02/1.28 tff(f5,conjecture,(
% 2.02/1.28 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & teach(X0,X1,cs)))),
% 2.02/1.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify)).
% 2.02/1.28
% 2.02/1.28 tff(f6,negated_conjecture,(
% 2.02/1.28 ~ ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & teach(X0,X1,cs)))),
% 2.02/1.28 inference(negated_conjecture,[status(cth)],[f5])).
% 2.02/1.28
% 2.02/1.28 tff(f9,plain,(
% 2.02/1.28 ! [X0 : '$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'('$ki_local_world',X0))),
% 2.02/1.28 inference(ennf_transformation,[],[f4])).
% 2.02/1.28
% 2.02/1.28 tff(f10,plain,(
% 2.02/1.28 ? [X0 : '$ki_world'] : (! [X1 : $i] : (~'$ki_exists_in_world_$i'(X0,X1) | ~teach(X0,X1,cs)) & '$ki_accessible'('$ki_local_world',X0))),
% 2.02/1.28 inference(ennf_transformation,[],[f6])).
% 2.02/1.28
% 2.02/1.28 tff(f13,plain,(
% 2.02/1.28 ! [X0 : '$ki_world'] : ((teach(X0,john,math) & ('$ki_exists_in_world_$i'(X0,sK2(X0)) & teach(X0,sK2(X0),cs)) & teach(X0,mary,psych) & teach(X0,sue,psych)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 2.02/1.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f9])).
% 2.02/1.28
% 2.02/1.28 tff(f14,plain,(
% 2.02/1.28 ! [X1 : $i] : (~'$ki_exists_in_world_$i'(sK3,X1) | ~teach(sK3,X1,cs)) & '$ki_accessible'('$ki_local_world',sK3)),
% 2.02/1.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f10])).
% 2.02/1.28
% 2.02/1.28 tff(f20,plain,(
% 2.02/1.28 ( ! [X0 : '$ki_world'] : (teach(X0,sK2(X0),cs) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 2.02/1.28 inference(cnf_transformation,[],[f13])).
% 2.02/1.28
% 2.02/1.28 tff(f21,plain,(
% 2.02/1.28 ( ! [X0 : '$ki_world'] : ('$ki_exists_in_world_$i'(X0,sK2(X0)) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 2.02/1.28 inference(cnf_transformation,[],[f13])).
% 2.02/1.28
% 2.02/1.28 tff(f23,plain,(
% 2.02/1.28 '$ki_accessible'('$ki_local_world',sK3)),
% 2.02/1.28 inference(cnf_transformation,[],[f14])).
% 2.02/1.28
% 2.02/1.28 tff(f24,plain,(
% 2.02/1.28 ( ! [X1 : $i] : (~'$ki_exists_in_world_$i'(sK3,X1) | ~teach(sK3,X1,cs)) )),
% 2.02/1.28 inference(cnf_transformation,[],[f14])).
% 2.02/1.28
% 2.02/1.28 tcf(c_53,plain,![X0_'ki_world':'$ki_world']:
% 2.02/1.28 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|'$ki_exists_in_world(X0_'ki_world',sK2(X0_'ki_world'))),
% 2.02/1.28 inference(cnf_transformation,[],[f21])).
% 2.02/1.28
% 2.02/1.28 tcf(c_54,plain,![X0_'ki_world':'$ki_world']:
% 2.02/1.28 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|teach(X0_'ki_world',sK2(X0_'ki_world'),cs)),
% 2.02/1.28 inference(cnf_transformation,[],[f20])).
% 2.02/1.28
% 2.02/1.28 tcf(c_57,negated_conjecture,![X0:$i]:
% 2.02/1.28 (~teach(sK3,X0,cs)|~'$ki_exists_in_world(sK3,X0)),
% 2.02/1.28 inference(cnf_transformation,[],[f24])).
% 2.02/1.28
% 2.02/1.28 tcf(c_58,negated_conjecture,
% 2.02/1.28 ('$ki_accessible'('$ki_local_world',sK3)),
% 2.02/1.28 inference(cnf_transformation,[],[f23])).
% 2.02/1.28
% 2.02/1.28 tcf(c_103,plain,
% 2.02/1.28 (~'$ki_exists_in_world(sK3,sK2(sK3))|~'$ki_accessible'('$ki_local_world',sK3)),
% 2.02/1.28 inference(resolution,[status(thm)],[c_54,c_57])).
% 2.02/1.28
% 2.02/1.28 tcf(c_130,plain,
% 2.02/1.28 ('$ki_exists_in_world(sK3,sK2(sK3))),
% 2.02/1.28 inference(resolution,[status(thm)],[c_53,c_58])).
% 2.02/1.28
% 2.02/1.28 tcf(c_131,plain,
% 2.02/1.28 ($false),
% 2.02/1.28 inference(prop_impl_just,[status(thm)],[c_130,c_103,c_58])).
% 2.02/1.28
% 2.02/1.28
% 2.02/1.28 % SZS output end CNFRefutation for theBenchmark.p
% 2.02/1.28
% 2.02/1.28
%------------------------------------------------------------------------------