%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT333_3 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 : Tue Sep 29 09:47:47 AM UTC 2026
% Result : Theorem 3.46s 1.26s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 40 ( 14 ~; 7 |; 16 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 31 ( 31 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 15 !; 5 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'$ki_world': $tType ).
tff(func_def_0,type,
'$ki_local_world': '$ki_world' ).
tff(func_def_7,type,
sK0: '$ki_world' > '$ki_world' ).
tff(func_def_8,type,
sK1: '$ki_world' > $i ).
tff(func_def_9,type,
sK2: '$ki_world' > $i ).
tff(func_def_10,type,
sK3: $i > '$ki_world' ).
tff(pred_def_1,type,
'$ki_accessible': ( '$ki_world' * '$ki_world' ) > $o ).
tff(pred_def_2,type,
teach: ( '$ki_world' * $i * $i ) > $o ).
tff(pred_def_3,type,
'$ki_exists_in_world_$i': ( '$ki_world' * $i ) > $o ).
tff(f2,axiom,
! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
tff(f4,axiom,
! [X0: '$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) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',db) ).
tff(f5,conjecture,
? [X0: $i] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> teach(X1,john,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
tff(f6,negated_conjecture,
~ ? [X0: $i] :
( '$ki_exists_in_world_$i'('$ki_local_world',X0)
& ! [X1: '$ki_world'] :
( '$ki_accessible'('$ki_local_world',X1)
=> teach(X1,john,X0) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
tff(f7,plain,
! [X0: '$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) ),
inference(ennf_transformation,[],[f4]) ).
tff(f8,plain,
! [X0: $i] :
( ~ '$ki_exists_in_world_$i'('$ki_local_world',X0)
| ? [X1: '$ki_world'] :
( ~ teach(X1,john,X0)
& '$ki_accessible'('$ki_local_world',X1) ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f11,plain,
! [X0: '$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) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f7]) ).
tff(f12,plain,
! [X0: $i] :
( ~ '$ki_exists_in_world_$i'('$ki_local_world',X0)
| ( ~ teach(sK3(X0),john,X0)
& '$ki_accessible'('$ki_local_world',sK3(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f8]) ).
tff(f14,plain,
! [X0: '$ki_world',X1: $i] : '$ki_exists_in_world_$i'(X0,X1),
inference(cnf_transformation,[],[f2]) ).
tff(f20,plain,
! [X0: '$ki_world'] :
( teach(X0,john,math)
| ~ '$ki_accessible'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f21,plain,
! [X0: $i] :
( '$ki_accessible'('$ki_local_world',sK3(X0))
| ~ '$ki_exists_in_world_$i'('$ki_local_world',X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f22,plain,
! [X0: $i] :
( ~ '$ki_exists_in_world_$i'('$ki_local_world',X0)
| ~ teach(sK3(X0),john,X0) ),
inference(cnf_transformation,[],[f12]) ).
tff(f23,plain,
! [X0: $i] : ~ teach(sK3(X0),john,X0),
inference(resolution,[],[f14,f22]) ).
tff(f24,plain,
~ '$ki_accessible'('$ki_local_world',sK3(math)),
inference(resolution,[],[f20,f23]) ).
tff(f25,plain,
~ '$ki_exists_in_world_$i'('$ki_local_world',math),
inference(resolution,[],[f24,f21]) ).
tff(f26,plain,
$false,
inference(forward_subsumption_resolution,[],[f25,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT333_3 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n010.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 00:20:03 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.46/1.26 % (2502611)Detected formulas, will run a generic FOF schedule.
% 3.46/1.26 % (2502636)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=963589284:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.46/1.26 % (2502636)Refutation not found, incomplete strategy
% 3.46/1.26 % (2502636)------------------------------
% 3.46/1.26 % (2502636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.26 % (2502636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.26 % (2502636)CaDiCaL version: 2.1.3
% 3.46/1.26 % (2502636)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.26 % (2502636)Time elapsed: 0.0000 s
% 3.46/1.26 % (2502636)Peak memory usage: 86 MB
% 3.46/1.26 % (2502638)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3177152286:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.46/1.26 % (2502633)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1979119686:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.46/1.26 % (2502637)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1225708223:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.46/1.26 % (2502634)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=72610163:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.46/1.26 % (2502635)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2770456949:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.46/1.26 % (2502637)Refutation not found, incomplete strategy
% 3.46/1.26 % (2502637)------------------------------
% 3.46/1.26 % (2502637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.26 % (2502637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.26 % (2502637)CaDiCaL version: 2.1.3
% 3.46/1.26 % (2502637)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.26 % (2502637)Time elapsed: 0.0000 s
% 3.46/1.26 % (2502637)Peak memory usage: 86 MB
% 3.46/1.26 % (2502638)First to succeed.
% 3.46/1.26 % (2502638)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2502611"
% 3.46/1.26 % (2502639)dis-21_1_sil=8000:lcm=predicate:random_seed=1476105445:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.46/1.26 % (2502639)Also succeeded, but the first one will report.
% 3.46/1.26 % (2502636)------------------------------
% 3.46/1.26 % (2502636)------------------------------
% 3.46/1.26 % (2502647)lrs+10_1_sil=8000:sp=occurrence:random_seed=3281701527:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.46/1.26 % (2502647)Also succeeded, but the first one will report.
% 3.46/1.26 % (2502637)------------------------------
% 3.46/1.26 % (2502637)------------------------------
% 3.46/1.26 % (2502638)Refutation found. Thanks to Tanya!
% 3.46/1.26 % SZS status Theorem for theBenchmark
% 3.46/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.26 % (2502638)------------------------------
% 3.46/1.26 % (2502638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.26 % (2502638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.26 % (2502638)CaDiCaL version: 2.1.3
% 3.46/1.26 % (2502638)Termination reason: Refutation
% 3.46/1.26 % (2502638)Time elapsed: 0.002 s
% 3.46/1.26 % (2502638)Peak memory usage: 88 MB
% 3.46/1.26 % (2502638)Instructions burned: 1 (million)
% 3.46/1.26 % (2502638)------------------------------
% 3.46/1.26 % (2502638)------------------------------
% 3.46/1.26 % (2502611)Success in time 0.392 s
% 3.46/1.26 % Vampire exiting
%------------------------------------------------------------------------------