%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET151-6 : 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 : n009.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 12:40:18 PM UTC 2026
% Result : Unsatisfiable 5.45s 1.75s
% Output : Refutation 5.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 36 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 16 ~; 12 |; 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 : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 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] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
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(f122,negated_conjecture,
complement(null_class) != universal_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_complement_of_null_class_1) ).
fof(f123,plain,
universal_class != complement(null_class),
inference(reorient_equations,[],[f122]) ).
fof(f187,plain,
~ subclass(universal_class,complement(null_class)),
inference(unit_resulting_resolution,[],[f7,f4,f123]) ).
fof(f191,plain,
member(not_subclass_element(universal_class,complement(null_class)),universal_class),
inference(unit_resulting_resolution,[],[f2,f187]) ).
fof(f192,plain,
~ member(not_subclass_element(universal_class,complement(null_class)),complement(null_class)),
inference(unit_resulting_resolution,[],[f3,f187]) ).
fof(f212,plain,
member(not_subclass_element(universal_class,complement(null_class)),null_class),
inference(unit_resulting_resolution,[],[f25,f191,f192]) ).
fof(f216,plain,
! [X0] : ~ member(not_subclass_element(universal_class,complement(null_class)),intersection(complement(null_class),X0)),
inference(unit_resulting_resolution,[],[f21,f192]) ).
fof(f232,plain,
~ subclass(null_class,complement(null_class)),
inference(unit_resulting_resolution,[],[f1,f192,f212]) ).
fof(f247,plain,
member(not_subclass_element(null_class,complement(null_class)),null_class),
inference(unit_resulting_resolution,[],[f2,f232]) ).
fof(f248,plain,
~ member(not_subclass_element(null_class,complement(null_class)),complement(null_class)),
inference(unit_resulting_resolution,[],[f3,f232]) ).
fof(f387,plain,
( ~ member(not_subclass_element(universal_class,complement(null_class)),null_class)
| null_class = complement(null_class) ),
inference(superposition,[],[f216,f70]) ).
fof(f389,plain,
null_class = complement(null_class),
inference(forward_subsumption_resolution,[],[f387,f212]) ).
fof(f414,plain,
member(not_subclass_element(null_class,null_class),null_class),
inference(backward_demodulation,[],[f247,f389]) ).
fof(f415,plain,
~ member(not_subclass_element(null_class,null_class),null_class),
inference(backward_demodulation,[],[f248,f389]) ).
fof(f512,plain,
$false,
inference(forward_subsumption_resolution,[],[f414,f415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET151-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 00:55:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 5.45/1.75 % (2574954)Input is clausal, will run a generic CNF schedule.
% 5.45/1.75 % (2574959)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=507042860:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.45/1.75 % (2574964)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4121054485:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.45/1.75 % (2574961)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=446741924:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.45/1.75 % (2574962)lrs+10_1_sil=8000:sp=occurrence:random_seed=760510712:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.45/1.75 % (2574960)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1294809380:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.45/1.75 % (2574965)dis-21_1_sil=8000:lcm=predicate:random_seed=874040132: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)
% 5.45/1.75 % (2574963)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3355022197:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.45/1.75 % (2574962)Refutation not found, incomplete strategy
% 5.45/1.75 % (2574962)------------------------------
% 5.45/1.75 % (2574962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.75 % (2574962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.75 % (2574962)CaDiCaL version: 2.1.3
% 5.45/1.75 % (2574962)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.75 % (2574962)Time elapsed: 0.001 s
% 5.45/1.75 % (2574962)Peak memory usage: 88 MB
% 5.45/1.75 % (2574963)Instruction limit reached!
% 5.45/1.75 % (2574963)------------------------------
% 5.45/1.75 % (2574963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.75 % (2574963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.75 % (2574963)CaDiCaL version: 2.1.3
% 5.45/1.75 % (2574963)Termination reason: Instruction limit
% 5.45/1.75 % (2574963)Termination phase: Saturation
% 5.45/1.75 % (2574963)Time elapsed: 0.067 s
% 5.45/1.75 % (2574963)Peak memory usage: 88 MB
% 5.45/1.75 % (2574963)Instructions burned: 115 (million)
% 5.45/1.75 % (2574964)Instruction limit reached!
% 5.45/1.75 % (2574964)------------------------------
% 5.45/1.75 % (2574964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.75 % (2574965)Instruction limit reached!
% 5.45/1.75 % (2574965)------------------------------
% 5.45/1.75 % (2574965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.75 % (2574965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.75 % (2574964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.75 % (2574965)CaDiCaL version: 2.1.3
% 5.45/1.75 % (2574964)CaDiCaL version: 2.1.3
% 5.45/1.75 % (2574965)Termination reason: Instruction limit
% 5.45/1.75 % (2574965)Termination phase: Saturation
% 5.45/1.75 % (2574965)Time elapsed: 0.068 s
% 5.45/1.75 % (2574964)Termination reason: Instruction limit
% 5.45/1.75 % (2574964)Termination phase: Saturation
% 5.45/1.75 % (2574965)Peak memory usage: 89 MB
% 5.45/1.75 % (2574964)Time elapsed: 0.071 s
% 5.45/1.75 % (2574965)Instructions burned: 119 (million)
% 5.45/1.75 % (2574964)Peak memory usage: 90 MB
% 5.45/1.75 % (2574964)Instructions burned: 181 (million)
% 5.45/1.75 % (2574975)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=519722254:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.45/1.75 % (2574975)Refutation not found, incomplete strategy
% 5.45/1.75 % (2574975)------------------------------
% 5.45/1.75 % (2574975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.75 % (2574975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.75 % (2574975)CaDiCaL version: 2.1.3
% 5.45/1.75 % (2574975)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.75 % (2574975)Time elapsed: 0.002 s
% 5.45/1.75 % (2574975)Peak memory usage: 88 MB
% 5.45/1.75 % (2574975)Instructions burned: 3 (million)
% 5.45/1.75 % (2574973)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=3162430700:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.45/1.75 % (2574974)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2876057377: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)
% 5.45/1.75 % (2574973)Refutation not found, incomplete strategy
% 5.45/1.75 % (2574973)------------------------------
% 5.45/1.75 % (2574973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.75 % (2574973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.75 % (2574973)CaDiCaL version: 2.1.3
% 5.45/1.75 % (2574973)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.75 % (2574973)Time elapsed: 0.003 s
% 5.45/1.75 % (2574973)Peak memory usage: 88 MB
% 5.45/1.75 % (2574973)Instructions burned: 3 (million)
% 5.45/1.75 % (2574962)------------------------------
% 5.45/1.75 % (2574962)------------------------------
% 5.45/1.75 % (2574974)First to succeed.
% 5.45/1.75 % (2574974)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2574954"
% 5.45/1.75 % (2574975)------------------------------
% 5.45/1.75 % (2574975)------------------------------
% 5.45/1.75 % (2574979)lrs+10_64_to=lpo:sil=8000:random_seed=2695112099:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.45/1.75 % (2574980)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2780648056:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.45/1.75 % (2574973)------------------------------
% 5.45/1.75 % (2574973)------------------------------
% 5.45/1.75 % (2574979)Instruction limit reached!
% 5.45/1.75 % (2574979)------------------------------
% 5.45/1.75 % (2574979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.75 % (2574979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.75 % (2574979)CaDiCaL version: 2.1.3
% 5.45/1.75 % (2574979)Termination reason: Instruction limit
% 5.45/1.75 % (2574979)Termination phase: Saturation
% 5.45/1.75 % (2574979)Time elapsed: 0.080 s
% 5.45/1.75 % (2574979)Peak memory usage: 89 MB
% 5.45/1.75 % (2574979)Instructions burned: 127 (million)
% 5.45/1.75 % (2574974)Refutation found. Thanks to Tanya!
% 5.45/1.75 % SZS status Unsatisfiable for theBenchmark
% 5.45/1.75 % SZS output start Proof for theBenchmark
% See solution above
% 5.45/1.75 % (2574974)------------------------------
% 5.45/1.75 % (2574974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.75 % (2574974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.75 % (2574974)CaDiCaL version: 2.1.3
% 5.45/1.75 % (2574974)Termination reason: Refutation
% 5.45/1.75 % (2574974)Time elapsed: 0.024 s
% 5.45/1.75 % (2574974)Peak memory usage: 89 MB
% 5.45/1.75 % (2574974)Instructions burned: 40 (million)
% 5.45/1.75 % (2574974)------------------------------
% 5.45/1.75 % (2574974)------------------------------
% 5.45/1.75 % (2574954)Success in time 0.683 s
% 5.45/1.75 % Vampire exiting
%------------------------------------------------------------------------------