%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET063-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:39:53 PM UTC 2026
% Result : Unsatisfiable 3.78s 1.41s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 37 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f5,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_implies_subclass1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f21,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/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(x,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).
fof(f102,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).
fof(f103,plain,
null_class != x,
inference(reorient_equations,[],[f102]) ).
fof(f104,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f5]) ).
fof(f116,plain,
! [X2,X0,X1] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[],[f1,f3]) ).
fof(f130,plain,
( ~ subclass(null_class,x)
| null_class = x ),
inference(resolution,[],[f7,f101]) ).
fof(f132,plain,
~ subclass(null_class,x),
inference(forward_subsumption_resolution,[],[f130,f103]) ).
fof(f151,plain,
member(not_subclass_element(null_class,x),null_class),
inference(resolution,[],[f132,f2]) ).
fof(f372,plain,
! [X0] :
( ~ subclass(X0,x)
| ~ member(not_subclass_element(null_class,x),X0) ),
inference(resolution,[],[f116,f132]) ).
fof(f373,plain,
~ member(not_subclass_element(null_class,x),x),
inference(resolution,[],[f372,f104]) ).
fof(f435,plain,
! [X0] : ~ member(not_subclass_element(null_class,x),intersection(x,X0)),
inference(resolution,[],[f373,f21]) ).
fof(f653,plain,
( ~ member(not_subclass_element(null_class,x),null_class)
| null_class = x ),
inference(superposition,[],[f435,f70]) ).
fof(f655,plain,
null_class = x,
inference(forward_subsumption_resolution,[],[f653,f151]) ).
fof(f656,plain,
$false,
inference(forward_subsumption_resolution,[],[f655,f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET063-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n003.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 00:29:26 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.78/1.41 % (1076355)Input is clausal, will run a generic CNF schedule.
% 3.78/1.41 % (1076407)dis-21_1_sil=8000:lcm=predicate:random_seed=1396356395: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)
% 3.78/1.41 % (1076406)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=563247524:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.78/1.41 % (1076401)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=1407304974:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.78/1.41 % (1076405)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2836344507:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.78/1.41 % (1076402)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3006574499:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.78/1.41 % (1076403)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2211540977:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.78/1.41 % (1076404)lrs+10_1_sil=8000:sp=occurrence:random_seed=3927987248:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.78/1.41 % (1076407)Instruction limit reached!
% 3.78/1.41 % (1076407)------------------------------
% 3.78/1.41 % (1076407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.41 % (1076407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.41 % (1076407)CaDiCaL version: 2.1.3
% 3.78/1.41 % (1076407)Termination reason: Instruction limit
% 3.78/1.41 % (1076407)Termination phase: Saturation
% 3.78/1.41 % (1076407)Time elapsed: 0.031 s
% 3.78/1.41 % (1076407)Peak memory usage: 88 MB
% 3.78/1.41 % (1076407)Instructions burned: 119 (million)
% 3.78/1.41 % (1076404)Refutation not found, incomplete strategy
% 3.78/1.41 % (1076404)------------------------------
% 3.78/1.41 % (1076404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.41 % (1076404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.41 % (1076404)CaDiCaL version: 2.1.3
% 3.78/1.41 % (1076404)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.41 % (1076404)Time elapsed: 0.001 s
% 3.78/1.41 % (1076404)Peak memory usage: 87 MB
% 3.78/1.41 % (1076406)First to succeed.
% 3.78/1.41 % (1076406)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1076355"
% 3.78/1.41 % (1076405)Instruction limit reached!
% 3.78/1.41 % (1076405)------------------------------
% 3.78/1.41 % (1076405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.41 % (1076405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.41 % (1076405)CaDiCaL version: 2.1.3
% 3.78/1.41 % (1076405)Termination reason: Instruction limit
% 3.78/1.41 % (1076405)Termination phase: Saturation
% 3.78/1.41 % (1076405)Time elapsed: 0.070 s
% 3.78/1.41 % (1076405)Peak memory usage: 89 MB
% 3.78/1.41 % (1076405)Instructions burned: 115 (million)
% 3.78/1.41 % (1076415)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=2412162281:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.78/1.41 % (1076415)Refutation not found, incomplete strategy
% 3.78/1.41 % (1076415)------------------------------
% 3.78/1.41 % (1076415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.41 % (1076415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.41 % (1076415)CaDiCaL version: 2.1.3
% 3.78/1.41 % (1076415)Termination reason: Refutation not found, incomplete strategy
% 3.78/1.41 % (1076415)Time elapsed: 0.002 s
% 3.78/1.41 % (1076415)Peak memory usage: 88 MB
% 3.78/1.41 % (1076415)Instructions burned: 3 (million)
% 3.78/1.41 % (1076416)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1647286628:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.78/1.41 % (1076404)------------------------------
% 3.78/1.41 % (1076404)------------------------------
% 3.78/1.41 % (1076416)Also succeeded, but the first one will report.
% 3.78/1.41 % (1076415)------------------------------
% 3.78/1.41 % (1076415)------------------------------
% 3.78/1.41 % (1076406)Refutation found. Thanks to Tanya!
% 3.78/1.41 % SZS status Unsatisfiable for theBenchmark
% 3.78/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.41 % (1076406)------------------------------
% 3.78/1.41 % (1076406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.41 % (1076406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.41 % (1076406)CaDiCaL version: 2.1.3
% 3.78/1.41 % (1076406)Termination reason: Refutation
% 3.78/1.41 % (1076406)Time elapsed: 0.022 s
% 3.78/1.41 % (1076406)Peak memory usage: 89 MB
% 3.78/1.41 % (1076406)Instructions burned: 27 (million)
% 3.78/1.41 % (1076406)------------------------------
% 3.78/1.41 % (1076406)------------------------------
% 3.78/1.41 % (1076355)Success in time 0.456 s
% 3.78/1.41 % Vampire exiting
%------------------------------------------------------------------------------