%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET014-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:39:32 PM UTC 2026
% Result : Unsatisfiable 0.15s 1.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 32 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 16 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
fof(f36,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f37,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f38,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ little_set(X0)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f39,axiom,
! [X0,X1] : union(X0,X1) = complement(intersection(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f79,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset1) ).
fof(f80,axiom,
! [X0,X1] :
( member(f17(X0,X1),X0)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset2) ).
fof(f81,axiom,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset3) ).
fof(f162,axiom,
subset(as,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_of_c) ).
fof(f163,axiom,
subset(bs,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_of_c) ).
fof(f164,negated_conjecture,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
fof(f167,plain,
~ subset(complement(intersection(complement(as),complement(bs))),cs),
inference(definition_unfolding,[],[f164,f39]) ).
fof(f179,plain,
member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(intersection(complement(as),complement(bs)))),
inference(unit_resulting_resolution,[],[f80,f167]) ).
fof(f180,plain,
~ member(f17(complement(intersection(complement(as),complement(bs))),cs),cs),
inference(unit_resulting_resolution,[],[f81,f167]) ).
fof(f186,plain,
~ member(f17(complement(intersection(complement(as),complement(bs))),cs),as),
inference(unit_resulting_resolution,[],[f79,f162,f180]) ).
fof(f187,plain,
~ member(f17(complement(intersection(complement(as),complement(bs))),cs),bs),
inference(unit_resulting_resolution,[],[f79,f163,f180]) ).
fof(f188,plain,
~ member(f17(complement(intersection(complement(as),complement(bs))),cs),intersection(complement(as),complement(bs))),
inference(unit_resulting_resolution,[],[f37,f179]) ).
fof(f189,plain,
little_set(f17(complement(intersection(complement(as),complement(bs))),cs)),
inference(unit_resulting_resolution,[],[f1,f179]) ).
fof(f199,plain,
member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as)),
inference(unit_resulting_resolution,[],[f38,f189,f186]) ).
fof(f206,plain,
member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs)),
inference(unit_resulting_resolution,[],[f38,f189,f187]) ).
fof(f311,plain,
~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs)),
inference(unit_resulting_resolution,[],[f36,f188,f199]) ).
fof(f326,plain,
$false,
inference(forward_subsumption_resolution,[],[f311,f206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET014-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 28 00:03:52 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.15/1.50 % (4022267)Input is clausal, will run a generic CNF schedule.
% 0.15/1.50 % (4022275)lrs+10_1_sil=8000:sp=occurrence:random_seed=4096417486:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.15/1.50 % (4022273)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2972141014:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.15/1.50 % (4022272)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=1744856146:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.15/1.50 % (4022277)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=27807991:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.15/1.50 % (4022276)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2690708692:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.15/1.50 % (4022274)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3879579075:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.15/1.50 % (4022278)dis-21_1_sil=8000:lcm=predicate:random_seed=4020215479: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)
% 0.15/1.50 % (4022275)Refutation not found, incomplete strategy
% 0.15/1.50 % (4022275)------------------------------
% 0.15/1.50 % (4022275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.50 % (4022275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.50 % (4022275)CaDiCaL version: 2.1.3
% 0.15/1.50 % (4022275)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.50 % (4022275)Time elapsed: 0.002 s
% 0.15/1.50 % (4022275)Peak memory usage: 88 MB
% 0.15/1.50 % (4022275)Instructions burned: 2 (million)
% 0.15/1.50 % (4022276)Refutation not found, incomplete strategy
% 0.15/1.50 % (4022276)------------------------------
% 0.15/1.50 % (4022276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.50 % (4022276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.50 % (4022276)CaDiCaL version: 2.1.3
% 0.15/1.50 % (4022276)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.50 % (4022276)Time elapsed: 0.002 s
% 0.15/1.50 % (4022276)Peak memory usage: 88 MB
% 0.15/1.50 % (4022276)Instructions burned: 2 (million)
% 0.15/1.50 % (4022278)Instruction limit reached!
% 0.15/1.50 % (4022278)------------------------------
% 0.15/1.50 % (4022278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.50 % (4022278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.50 % (4022278)CaDiCaL version: 2.1.3
% 0.15/1.50 % (4022278)Termination reason: Instruction limit
% 0.15/1.50 % (4022278)Termination phase: Saturation
% 0.15/1.50 % (4022278)Time elapsed: 0.072 s
% 0.15/1.50 % (4022278)Peak memory usage: 90 MB
% 0.15/1.50 % (4022278)Instructions burned: 118 (million)
% 0.15/1.50 % (4022277)Instruction limit reached!
% 0.15/1.50 % (4022277)------------------------------
% 0.15/1.50 % (4022277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.50 % (4022277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.50 % (4022277)CaDiCaL version: 2.1.3
% 0.15/1.50 % (4022277)Termination reason: Instruction limit
% 0.15/1.50 % (4022277)Termination phase: Saturation
% 0.15/1.50 % (4022277)Time elapsed: 0.076 s
% 0.15/1.50 % (4022277)Peak memory usage: 89 MB
% 0.15/1.50 % (4022277)Instructions burned: 182 (million)
% 0.15/1.50 % (4022287)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=362435110: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)
% 0.15/1.50 % (4022287)First to succeed.
% 0.15/1.50 % (4022287)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4022267"
% 0.15/1.50 % (4022286)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=3511760368:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.15/1.50 % (4022286)Refutation not found, incomplete strategy
% 0.15/1.50 % (4022286)------------------------------
% 0.15/1.50 % (4022286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.50 % (4022286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.50 % (4022286)CaDiCaL version: 2.1.3
% 0.15/1.50 % (4022286)Termination reason: Refutation not found, incomplete strategy
% 0.15/1.50 % (4022286)Time elapsed: 0.005 s
% 0.15/1.50 % (4022286)Peak memory usage: 88 MB
% 0.15/1.50 % (4022286)Instructions burned: 5 (million)
% 0.15/1.50 % (4022275)------------------------------
% 0.15/1.50 % (4022275)------------------------------
% 0.15/1.50 % (4022276)------------------------------
% 0.15/1.50 % (4022276)------------------------------
% 0.15/1.50 % (4022287)Refutation found. Thanks to Tanya!
% 0.15/1.50 % SZS status Unsatisfiable for theBenchmark
% 0.15/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.50 % (4022287)------------------------------
% 0.15/1.50 % (4022287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.50 % (4022287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.50 % (4022287)CaDiCaL version: 2.1.3
% 0.15/1.50 % (4022287)Termination reason: Refutation
% 0.15/1.50 % (4022287)Time elapsed: 0.005 s
% 0.15/1.50 % (4022287)Peak memory usage: 88 MB
% 0.15/1.50 % (4022287)Instructions burned: 14 (million)
% 0.15/1.50 % (4022287)------------------------------
% 0.15/1.50 % (4022287)------------------------------
% 0.15/1.50 % (4022267)Success in time 0.48 s
% 0.15/1.50 % Vampire exiting
%------------------------------------------------------------------------------