%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET062-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:39:52 PM UTC 2026
% Result : Unsatisfiable 2.33s 0.93s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 10 unt; 2 def)
% Number of atoms : 52 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 22 ~; 20 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f5,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_subclass1) ).
fof(f21,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f101,negated_conjecture,
~ subclass(null_class,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_subclass_1) ).
fof(f102,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f5]) ).
fof(f111,plain,
! [X2,X0,X1] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[],[f1,f3]) ).
fof(f317,plain,
! [X0] :
( ~ subclass(X0,x)
| ~ member(not_subclass_element(null_class,x),X0) ),
inference(resolution,[],[f111,f101]) ).
fof(f320,plain,
~ member(not_subclass_element(null_class,x),x),
inference(resolution,[],[f317,f102]) ).
fof(f371,plain,
! [X0] : ~ member(not_subclass_element(null_class,x),intersection(x,X0)),
inference(resolution,[],[f320,f21]) ).
fof(f443,plain,
( ~ member(not_subclass_element(null_class,x),null_class)
| null_class = x ),
inference(superposition,[],[f371,f70]) ).
fof(f446,definition,
( spl0_22
<=> null_class = x ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f448,plain,
( null_class = x
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f450,definition,
( spl0_23
<=> member(not_subclass_element(null_class,x),null_class) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f452,plain,
( ~ member(not_subclass_element(null_class,x),null_class)
| spl0_23 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f453,plain,
( spl0_22
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f443,f450,f446]) ).
fof(f455,plain,
( subclass(null_class,x)
| spl0_23 ),
inference(resolution,[],[f452,f2]) ).
fof(f459,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f455,f101]) ).
fof(f460,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f462,plain,
( ~ subclass(null_class,null_class)
| ~ spl0_22 ),
inference(superposition,[],[f101,f448]) ).
fof(f476,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f462,f102]) ).
fof(f477,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f476]) ).
cnf(s12,plain,
( spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f453]) ).
cnf(s13,plain,
spl0_23,
inference(sat_conversion,[],[f460]) ).
cnf(s14,plain,
~ spl0_22,
inference(sat_conversion,[],[f477]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s12,s13,s14]) ).
fof(f478,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET062-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Mon Sep 28 00:26:25 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 2.33/0.93 % (2903656)Input is clausal, will run a generic CNF schedule.
% 2.33/0.93 % (2903665)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1932902719:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.33/0.93 % (2903666)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3044151812:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.33/0.93 % (2903662)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2796273997:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.33/0.93 % (2903663)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2618671672:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.33/0.93 % (2903661)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=2823050752:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.33/0.93 % (2903667)dis-21_1_sil=8000:lcm=predicate:random_seed=3421361486:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.33/0.93 % (2903664)lrs+10_1_sil=8000:sp=occurrence:random_seed=1415991284:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.33/0.93 % (2903664)Refutation not found, incomplete strategy
% 2.33/0.93 % (2903664)------------------------------
% 2.33/0.93 % (2903664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/0.93 % (2903664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.93 % (2903664)CaDiCaL version: 2.1.3
% 2.33/0.93 % (2903664)Termination reason: Refutation not found, incomplete strategy
% 2.33/0.93 % (2903664)Time elapsed: 0.001 s
% 2.33/0.93 % (2903664)Peak memory usage: 87 MB
% 2.33/0.93 % (2903666)First to succeed.
% 2.33/0.93 % (2903666)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2903656"
% 2.33/0.93 % (2903667)Instruction limit reached!
% 2.33/0.93 % (2903667)------------------------------
% 2.33/0.93 % (2903667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/0.93 % (2903667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.93 % (2903667)CaDiCaL version: 2.1.3
% 2.33/0.93 % (2903667)Termination reason: Instruction limit
% 2.33/0.93 % (2903667)Termination phase: Saturation
% 2.33/0.93 % (2903667)Time elapsed: 0.035 s
% 2.33/0.93 % (2903667)Peak memory usage: 88 MB
% 2.33/0.93 % (2903667)Instructions burned: 120 (million)
% 2.33/0.93 % (2903665)Instruction limit reached!
% 2.33/0.93 % (2903665)------------------------------
% 2.33/0.93 % (2903665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/0.93 % (2903665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.93 % (2903665)CaDiCaL version: 2.1.3
% 2.33/0.93 % (2903665)Termination reason: Instruction limit
% 2.33/0.93 % (2903665)Termination phase: Saturation
% 2.33/0.93 % (2903665)Time elapsed: 0.037 s
% 2.33/0.93 % (2903665)Peak memory usage: 89 MB
% 2.33/0.93 % (2903665)Instructions burned: 117 (million)
% 2.33/0.93 % (2903664)------------------------------
% 2.33/0.93 % (2903664)------------------------------
% 2.33/0.93 % (2903675)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=298451104:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.33/0.93 % (2903676)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4047112137:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.33/0.93 % (2903666)Refutation found. Thanks to Tanya!
% 2.33/0.93 % SZS status Unsatisfiable for theBenchmark
% 2.33/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.33/0.93 % (2903666)------------------------------
% 2.33/0.93 % (2903666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/0.93 % (2903666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.93 % (2903666)CaDiCaL version: 2.1.3
% 2.33/0.93 % (2903666)Termination reason: Refutation
% 2.33/0.93 % (2903666)Time elapsed: 0.009 s
% 2.33/0.93 % (2903666)Peak memory usage: 89 MB
% 2.33/0.93 % (2903666)Instructions burned: 19 (million)
% 2.33/0.93 % (2903666)------------------------------
% 2.33/0.93 % (2903666)------------------------------
% 2.33/0.93 % (2903656)Success in time 0.3 s
% 2.33/0.93 % Vampire exiting
%------------------------------------------------------------------------------