%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU167+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:47:32 PM UTC 2026
% Result : Theorem 1.05s 1.00s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 12 |; 11 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> ( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2))
& subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_zfmisc_1) ).
fof(f54,conjecture,
! [X0,X1,X2,X3] :
( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(f55,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f60,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2))
& subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) )
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f122,plain,
? [X0,X1,X2,X3] :
( ~ subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
& subset(X0,X1)
& subset(X2,X3) ),
inference(ennf_transformation,[],[f55]) ).
fof(f123,plain,
? [X0,X1,X2,X3] :
( ~ subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
& subset(X0,X1)
& subset(X2,X3) ),
inference(flattening,[],[f122]) ).
fof(f127,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f128,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f127]) ).
fof(f198,plain,
( ~ subset(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK21))
& subset(sK18,sK19)
& subset(sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20),skolemize(X3,sK21)],[f123]) ).
fof(f305,plain,
! [X2,X0,X1] :
( subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f306,plain,
! [X2,X0,X1] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f307,plain,
subset(sK20,sK21),
inference(cnf_transformation,[],[f198]) ).
fof(f308,plain,
subset(sK18,sK19),
inference(cnf_transformation,[],[f198]) ).
fof(f309,plain,
~ subset(cartesian_product2(sK18,sK20),cartesian_product2(sK19,sK21)),
inference(cnf_transformation,[],[f198]) ).
fof(f314,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f478,plain,
! [X0] :
( ~ subset(cartesian_product2(sK18,sK20),X0)
| ~ subset(X0,cartesian_product2(sK19,sK21)) ),
inference(resolution,[],[f314,f309]) ).
fof(f554,plain,
! [X0] :
( ~ subset(cartesian_product2(sK18,X0),cartesian_product2(sK19,sK21))
| ~ subset(sK20,X0) ),
inference(resolution,[],[f305,f478]) ).
fof(f2941,plain,
( ~ subset(sK20,sK21)
| ~ subset(sK18,sK19) ),
inference(resolution,[],[f554,f306]) ).
fof(f2943,plain,
~ subset(sK18,sK19),
inference(forward_subsumption_resolution,[],[f2941,f307]) ).
fof(f2944,plain,
$false,
inference(forward_subsumption_resolution,[],[f2943,f308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU167+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 03:51:49 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 1.05/1.00 % (3642781)Detected formulas, will run a generic FOF schedule.
% 1.05/1.00 % (3642791)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4160077569:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.05/1.00 % (3642790)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=145934728:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.05/1.00 % (3642787)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2744311787:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.05/1.00 % (3642786)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=38007510:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.05/1.00 % (3642789)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=855992522:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.05/1.00 % (3642792)dis-21_1_sil=8000:lcm=predicate:random_seed=1689305631:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.05/1.00 % (3642788)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3130484303:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.05/1.00 % (3642791)First to succeed.
% 1.05/1.00 % (3642791)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3642781"
% 1.05/1.00 % (3642792)Also succeeded, but the first one will report.
% 1.05/1.00 % (3642789)Instruction limit reached!
% 1.05/1.00 % (3642789)------------------------------
% 1.05/1.00 % (3642789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.05/1.00 % (3642789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/1.00 % (3642789)CaDiCaL version: 2.1.3
% 1.05/1.00 % (3642789)Termination reason: Instruction limit
% 1.05/1.00 % (3642789)Termination phase: Saturation
% 1.05/1.00 % (3642789)Time elapsed: 0.071 s
% 1.05/1.00 % (3642789)Peak memory usage: 90 MB
% 1.05/1.00 % (3642789)Instructions burned: 109 (million)
% 1.05/1.00 % (3642790)Instruction limit reached!
% 1.05/1.00 % (3642790)------------------------------
% 1.05/1.00 % (3642790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.05/1.00 % (3642790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/1.00 % (3642790)CaDiCaL version: 2.1.3
% 1.05/1.00 % (3642790)Termination reason: Instruction limit
% 1.05/1.00 % (3642790)Termination phase: Saturation
% 1.05/1.00 % (3642790)Time elapsed: 0.076 s
% 1.05/1.00 % (3642790)Peak memory usage: 89 MB
% 1.05/1.00 % (3642790)Instructions burned: 120 (million)
% 1.05/1.00 % (3642791)Refutation found. Thanks to Tanya!
% 1.05/1.00 % SZS status Theorem for theBenchmark
% 1.05/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 1.05/1.00 % (3642791)------------------------------
% 1.05/1.00 % (3642791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.05/1.00 % (3642791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/1.00 % (3642791)CaDiCaL version: 2.1.3
% 1.05/1.00 % (3642791)Termination reason: Refutation
% 1.05/1.00 % (3642791)Time elapsed: 0.046 s
% 1.05/1.00 % (3642791)Peak memory usage: 90 MB
% 1.05/1.00 % (3642791)Instructions burned: 119 (million)
% 1.05/1.00 % (3642791)------------------------------
% 1.05/1.00 % (3642791)------------------------------
% 1.05/1.00 % (3642781)Success in time 0.303 s
% 1.05/1.00 % Vampire exiting
%------------------------------------------------------------------------------