%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET013-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 12:39:31 PM UTC 2026
% Result : Unsatisfiable 3.49s 1.37s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 63 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 58 ( 24 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f10,axiom,
intersection(as,bs) = cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_a_and_b_is_c) ).
fof(f11,axiom,
intersection(bs,as) = ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_b_and_a_is_d) ).
fof(f12,negated_conjecture,
cs != ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f14,plain,
! [X0] :
( ~ member(X0,cs)
| member(X0,as) ),
inference(superposition,[],[f5,f10]) ).
fof(f15,plain,
! [X0] :
( ~ member(X0,ds)
| member(X0,bs) ),
inference(superposition,[],[f5,f11]) ).
fof(f16,plain,
! [X0] :
( ~ member(X0,cs)
| member(X0,bs) ),
inference(superposition,[],[f6,f10]) ).
fof(f17,plain,
! [X0] :
( ~ member(X0,ds)
| member(X0,as) ),
inference(superposition,[],[f6,f11]) ).
fof(f22,plain,
! [X0] :
( ~ member(X0,bs)
| member(X0,ds)
| ~ member(X0,as) ),
inference(superposition,[],[f7,f11]) ).
fof(f27,plain,
! [X0] :
( member(f1(X0,cs),bs)
| member(f1(X0,cs),X0)
| cs = X0 ),
inference(resolution,[],[f3,f16]) ).
fof(f28,plain,
! [X0] :
( member(f1(X0,cs),as)
| member(f1(X0,cs),X0)
| cs = X0 ),
inference(resolution,[],[f3,f14]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ member(f1(X0,intersection(X1,X2)),X2)
| intersection(X1,X2) = X0
| ~ member(f1(X0,intersection(X1,X2)),X1)
| ~ member(f1(X0,intersection(X1,X2)),X0) ),
inference(resolution,[],[f4,f7]) ).
fof(f279,plain,
! [X0] :
( ~ member(f1(X0,cs),bs)
| cs = X0
| ~ member(f1(X0,cs),as)
| ~ member(f1(X0,cs),X0) ),
inference(superposition,[],[f42,f10]) ).
fof(f690,plain,
( member(f1(ds,cs),bs)
| cs = ds
| member(f1(ds,cs),bs) ),
inference(resolution,[],[f27,f15]) ).
fof(f692,plain,
( member(f1(ds,cs),bs)
| cs = ds ),
inference(duplicate_literal_removal,[],[f690]) ).
fof(f695,plain,
member(f1(ds,cs),bs),
inference(forward_subsumption_resolution,[],[f692,f12]) ).
fof(f757,plain,
( member(f1(ds,cs),as)
| cs = ds
| member(f1(ds,cs),as) ),
inference(resolution,[],[f28,f17]) ).
fof(f760,plain,
( member(f1(ds,cs),as)
| cs = ds ),
inference(duplicate_literal_removal,[],[f757]) ).
fof(f764,plain,
member(f1(ds,cs),as),
inference(forward_subsumption_resolution,[],[f760,f12]) ).
fof(f1646,plain,
( cs = ds
| ~ member(f1(ds,cs),as)
| ~ member(f1(ds,cs),ds) ),
inference(resolution,[],[f695,f279]) ).
fof(f1647,plain,
( member(f1(ds,cs),ds)
| ~ member(f1(ds,cs),as) ),
inference(resolution,[],[f695,f22]) ).
fof(f1651,plain,
member(f1(ds,cs),ds),
inference(forward_subsumption_resolution,[],[f1647,f764]) ).
fof(f1652,plain,
( cs = ds
| ~ member(f1(ds,cs),ds) ),
inference(forward_subsumption_resolution,[],[f1646,f17]) ).
fof(f1655,plain,
~ member(f1(ds,cs),ds),
inference(forward_subsumption_resolution,[],[f1652,f12]) ).
fof(f1676,plain,
$false,
inference(forward_subsumption_resolution,[],[f1655,f1651]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET013-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 00:04:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.49/1.37 % (1446925)Input is clausal, will run a generic CNF schedule.
% 3.49/1.37 % (1446935)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3888762370:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.49/1.37 % (1446934)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2478601926:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.49/1.37 % (1446934)Refutation not found, incomplete strategy
% 3.49/1.37 % (1446934)------------------------------
% 3.49/1.37 % (1446934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.37 % (1446934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.37 % (1446934)CaDiCaL version: 2.1.3
% 3.49/1.37 % (1446934)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.37 % (1446934)Time elapsed: 0.001 s
% 3.49/1.37 % (1446934)Peak memory usage: 88 MB
% 3.49/1.37 % (1446932)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2996484156:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.49/1.37 % (1446933)lrs+10_1_sil=8000:sp=occurrence:random_seed=3840093064:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.49/1.37 % (1446930)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=674038739:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.49/1.37 % (1446931)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=98950223:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.49/1.37 % (1446936)dis-21_1_sil=8000:lcm=predicate:random_seed=2726292561: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)
% 3.49/1.37 % (1446936)Refutation not found, incomplete strategy
% 3.49/1.37 % (1446936)------------------------------
% 3.49/1.37 % (1446936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.37 % (1446936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.37 % (1446936)CaDiCaL version: 2.1.3
% 3.49/1.37 % (1446936)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.37 % (1446936)Time elapsed: 0.001 s
% 3.49/1.37 % (1446936)Peak memory usage: 88 MB
% 3.49/1.37 % (1446936)Instructions burned: 1 (million)
% 3.49/1.37 % (1446935)Instruction limit reached!
% 3.49/1.37 % (1446935)------------------------------
% 3.49/1.37 % (1446935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.37 % (1446935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.37 % (1446935)CaDiCaL version: 2.1.3
% 3.49/1.37 % (1446935)Termination reason: Instruction limit
% 3.49/1.37 % (1446935)Termination phase: Saturation
% 3.49/1.37 % (1446935)Time elapsed: 0.064 s
% 3.49/1.37 % (1446935)Peak memory usage: 89 MB
% 3.49/1.37 % (1446935)Instructions burned: 183 (million)
% 3.49/1.37 % (1446933)First to succeed.
% 3.49/1.37 % (1446933)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1446925"
% 3.49/1.37 % (1446944)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=1548743719:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.49/1.37 % (1446944)Also succeeded, but the first one will report.
% 3.49/1.37 % (1446934)------------------------------
% 3.49/1.37 % (1446934)------------------------------
% 3.49/1.37 % (1446936)------------------------------
% 3.49/1.37 % (1446936)------------------------------
% 3.49/1.37 % (1446933)Refutation found. Thanks to Tanya!
% 3.49/1.37 % SZS status Unsatisfiable for theBenchmark
% 3.49/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.37 % (1446933)------------------------------
% 3.49/1.37 % (1446933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.37 % (1446933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.37 % (1446933)CaDiCaL version: 2.1.3
% 3.49/1.37 % (1446933)Termination reason: Refutation
% 3.49/1.37 % (1446933)Time elapsed: 0.031 s
% 3.49/1.37 % (1446933)Peak memory usage: 89 MB
% 3.49/1.37 % (1446933)Instructions burned: 49 (million)
% 3.49/1.37 % (1446933)------------------------------
% 3.49/1.37 % (1446933)------------------------------
% 3.49/1.37 % (1446925)Success in time 0.434 s
% 3.49/1.37 % Vampire exiting
%------------------------------------------------------------------------------