%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU167+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:52:13 PM UTC 2026
% Result : Theorem 4.99s 1.29s
% Output : Refutation 4.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 37 ( 14 ~; 10 |; 9 &)
% ( 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 : 44 ( 36 !; 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/sandbox/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/sandbox/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/sandbox/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(f250,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| subset(cartesian_product2(X2,X0),cartesian_product2(X2,X1)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f251,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| subset(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f252,plain,
subset(sK23,sK24),
inference(cnf_transformation,[],[f123]) ).
fof(f253,plain,
subset(sK21,sK22),
inference(cnf_transformation,[],[f123]) ).
fof(f254,plain,
~ subset(cartesian_product2(sK21,sK23),cartesian_product2(sK22,sK24)),
inference(cnf_transformation,[],[f123]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f4709,plain,
! [X0] : subset(cartesian_product2(X0,sK23),cartesian_product2(X0,sK24)),
inference(resolution,[],[f250,f252]) ).
fof(f4792,plain,
! [X0,X1] :
( ~ subset(X0,cartesian_product2(X1,sK23))
| subset(X0,cartesian_product2(X1,sK24)) ),
inference(resolution,[],[f4709,f259]) ).
fof(f4870,plain,
! [X0] : subset(cartesian_product2(sK21,X0),cartesian_product2(sK22,X0)),
inference(resolution,[],[f251,f253]) ).
fof(f11704,plain,
subset(cartesian_product2(sK21,sK23),cartesian_product2(sK22,sK24)),
inference(resolution,[],[f4792,f4870]) ).
fof(f11711,plain,
$false,
inference(forward_subsumption_resolution,[],[f11704,f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU167+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n001.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 03:57:33 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.99/1.29 % (4193894)Will run a generic schedule for satisfiability detection.
% 4.99/1.29 % (4193899)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2996703140_2999 on theBenchmark for (2999ds/0Mi)
% 4.99/1.29 % (4193900)% WARNING: option uhcvi not known.
% 4.99/1.29 % TRYING [1]
% 4.99/1.29 % TRYING [2]
% 4.99/1.29 % (4193900)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1335546834:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.99/1.29 % (4193901)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1530867035:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.99/1.29 % (4193905)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=798248075:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.99/1.29 % (4193902)dis+10_1_sil=32000:sp=arity:random_seed=2748901409:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.99/1.29 % (4193903)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=222717827:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.99/1.29 % (4193904)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1395351984:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.99/1.29 % TRYING [3]
% 4.99/1.29 % TRYING [4]
% 4.99/1.29 % TRYING [5]
% 4.99/1.29 % (4193902)Instruction limit reached!
% 4.99/1.29 % (4193902)------------------------------
% 4.99/1.29 % (4193902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.99/1.29 % (4193902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.99/1.29 % (4193902)CaDiCaL version: 2.1.3
% 4.99/1.29 % (4193902)Termination reason: Instruction limit
% 4.99/1.29 % (4193902)Termination phase: Saturation
% 4.99/1.29 % (4193902)Time elapsed: 0.067 s
% 4.99/1.29 % (4193902)Peak memory usage: 12 MB
% 4.99/1.29 % (4193902)Instructions burned: 104 (million)
% 4.99/1.29 % (4193903)Instruction limit reached!
% 4.99/1.29 % (4193903)------------------------------
% 4.99/1.29 % (4193903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.99/1.29 % (4193903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.99/1.29 % (4193903)CaDiCaL version: 2.1.3
% 4.99/1.29 % (4193903)Termination reason: Instruction limit
% 4.99/1.29 % (4193903)Termination phase: Saturation
% 4.99/1.29 % (4193903)Time elapsed: 0.074 s
% 4.99/1.29 % (4193903)Peak memory usage: 13 MB
% 4.99/1.29 % (4193903)Instructions burned: 116 (million)
% 4.99/1.29 % (4193904)Instruction limit reached!
% 4.99/1.29 % (4193904)------------------------------
% 4.99/1.29 % (4193904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.99/1.29 % (4193904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.99/1.29 % (4193904)CaDiCaL version: 2.1.3
% 4.99/1.29 % (4193904)Termination reason: Instruction limit
% 4.99/1.29 % (4193904)Termination phase: Saturation
% 4.99/1.29 % (4193904)Time elapsed: 0.081 s
% 4.99/1.29 % (4193904)Peak memory usage: 13 MB
% 4.99/1.29 % (4193904)Instructions burned: 131 (million)
% 4.99/1.29 % (4193913)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2402543296:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 4.99/1.29 % (4193914)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1457507957:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.99/1.29 % TRYING [1]
% 4.99/1.29 % TRYING [2]
% 4.99/1.29 % (4193915)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3894273240:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.99/1.29 % TRYING [3]
% 4.99/1.29 % (4193905)Instruction limit reached!
% 4.99/1.29 % (4193905)------------------------------
% 4.99/1.29 % (4193905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.99/1.29 % (4193905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.99/1.29 % (4193905)CaDiCaL version: 2.1.3
% 4.99/1.29 % (4193905)Termination reason: Instruction limit
% 4.99/1.29 % (4193905)Termination phase: Saturation
% 4.99/1.29 % (4193905)Time elapsed: 0.110 s
% 4.99/1.29 % (4193905)Peak memory usage: 14 MB
% 4.99/1.29 % (4193905)Instructions burned: 160 (million)
% 4.99/1.29 % TRYING [4]
% 4.99/1.29 % (4193919)ott-21_1_sil=16000:fs=off:random_seed=2367975892:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.99/1.29 % (4193914)Instruction limit reached!
% 4.99/1.29 % (4193914)------------------------------
% 4.99/1.29 % (4193914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.99/1.29 % (4193914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.99/1.29 % (4193914)CaDiCaL version: 2.1.3
% 4.99/1.29 % (4193914)Termination reason: Instruction limit
% 4.99/1.29 % (4193914)Termination phase: Saturation
% 4.99/1.29 % (4193914)Time elapsed: 0.086 s
% 4.99/1.29 % (4193914)Peak memory usage: 13 MB
% 4.99/1.29 % (4193914)Instructions burned: 132 (million)
% 4.99/1.29 % TRYING [5]
% 4.99/1.29 % (4193921)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4054301406:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.99/1.29 % (4193919)Instruction limit reached!
% 4.99/1.29 % (4193919)------------------------------
% 4.99/1.29 % (4193919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.99/1.29 % (4193919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.99/1.29 % (4193919)CaDiCaL version: 2.1.3
% 4.99/1.29 % (4193919)Termination reason: Instruction limit
% 4.99/1.29 % (4193919)Termination phase: Saturation
% 4.99/1.29 % (4193919)Time elapsed: 0.097 s
% 4.99/1.29 % (4193919)Peak memory usage: 13 MB
% 4.99/1.29 % (4193919)Instructions burned: 180 (million)
% 4.99/1.29 % TRYING [6]
% 4.99/1.29 % (4193923)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3592632849:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.99/1.29 % TRYING [1]
% 4.99/1.29 % TRYING [2]
% 4.99/1.29 % TRYING [3]
% 4.99/1.29 % TRYING [4]
% 4.99/1.29 % TRYING [6]
% 4.99/1.29 % (4193913)Instruction limit reached!
% 4.99/1.29 % (4193913)------------------------------
% 4.99/1.29 % (4193913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.99/1.29 % (4193913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.99/1.29 % (4193913)CaDiCaL version: 2.1.3
% 4.99/1.29 % (4193913)Termination reason: Instruction limit
% 4.99/1.29 % (4193913)Termination phase: Finite model building constraint generation
% 4.99/1.29 % (4193913)Time elapsed: 0.282 s
% 4.99/1.29 % (4193913)Peak memory usage: 35 MB
% 4.99/1.29 % (4193913)Instructions burned: 715 (million)
% 4.99/1.29 % (4193925)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2612171443:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.99/1.29 % (4193915)Instruction limit reached!
% 4.99/1.29 % (4193915)------------------------------
% 4.99/1.29 % (4193915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.99/1.29 % (4193915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.99/1.29 % (4193915)CaDiCaL version: 2.1.3
% 4.99/1.29 % (4193915)Termination reason: Instruction limit
% 4.99/1.29 % (4193915)Termination phase: Saturation
% 4.99/1.29 % (4193915)Time elapsed: 0.317 s
% 4.99/1.29 % (4193915)Peak memory usage: 16 MB
% 4.99/1.29 % (4193915)Instructions burned: 686 (million)
% 4.99/1.29 % (4193927)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4006997556:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 4.99/1.29 % (4193921)Instruction limit reached!
% 4.99/1.29 % (4193921)------------------------------
% 4.99/1.29 % (4193921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.99/1.29 % (4193921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.99/1.29 % (4193921)CaDiCaL version: 2.1.3
% 4.99/1.29 % (4193921)Termination reason: Instruction limit
% 4.99/1.29 % (4193921)Termination phase: Saturation
% 4.99/1.29 % (4193921)Time elapsed: 0.332 s
% 4.99/1.29 % (4193921)Peak memory usage: 14 MB
% 4.99/1.29 % (4193921)Instructions burned: 477 (million)
% 4.99/1.29 % (4193929)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3171311909:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.99/1.29 % TRYING [5]
% 4.99/1.29 % (4193923)Instruction limit reached!
% 4.99/1.29 % (4193923)------------------------------
% 4.99/1.29 % (4193923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.99/1.29 % (4193923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.99/1.29 % (4193923)CaDiCaL version: 2.1.3
% 4.99/1.29 % (4193923)Termination reason: Instruction limit
% 4.99/1.29 % (4193923)Termination phase: Finite model building constraint generation
% 4.99/1.29 % (4193923)Time elapsed: 0.346 s
% 4.99/1.29 % (4193923)Peak memory usage: 25 MB
% 4.99/1.29 % (4193923)Instructions burned: 866 (million)
% 4.99/1.29 % (4193931)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1441951571:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 4.99/1.29 % TRYING [7]
% 4.99/1.29 % (4193929) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4193894-4193929"...
% 4.99/1.29 % (4193929)...printing done.
% 4.99/1.29 % (4193929)Refutation found. Thanks to Tanya!
% 4.99/1.29 % SZS status Theorem for theBenchmark
% 4.99/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 4.99/1.29 % (4193929)------------------------------
% 4.99/1.29 % (4193929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.99/1.29 % (4193929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.99/1.29 % (4193929)CaDiCaL version: 2.1.3
% 4.99/1.29 % (4193929)Termination reason: Refutation
% 4.99/1.29 % (4193929)Time elapsed: 0.225 s
% 4.99/1.29 % (4193929)Peak memory usage: 17 MB
% 4.99/1.29 % (4193929)Instructions burned: 350 (million)
% 4.99/1.29 % (4193894)Success in time 0.847 s
% 4.99/1.29 % Vampire exiting
%------------------------------------------------------------------------------