%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU247+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 12:52:35 PM UTC 2026
% Result : Theorem 2.21s 0.97s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 29 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 9 ~; 6 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,axiom,
! [X0,X1,X2] :
( relation(X2)
=> relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_relat_1) ).
fof(f205,axiom,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).
fof(f207,conjecture,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
fof(f208,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
inference(negated_conjecture,[status(cth)],[f207]) ).
fof(f469,plain,
! [X0,X1,X2] :
( relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f191]) ).
fof(f488,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f205]) ).
fof(f489,plain,
? [X0,X1] :
( relation_restriction(X1,X0) != relation_rng_restriction(X0,relation_dom_restriction(X1,X0))
& relation(X1) ),
inference(ennf_transformation,[],[f208]) ).
fof(f1039,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
inference(cnf_transformation,[],[f469]) ).
fof(f1061,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1063,plain,
relation(sK104),
inference(cnf_transformation,[],[f489]) ).
fof(f1064,plain,
relation_restriction(sK104,sK103) != relation_rng_restriction(sK103,relation_dom_restriction(sK104,sK103)),
inference(cnf_transformation,[],[f489]) ).
fof(f1888,plain,
! [X2,X0,X1] :
( relation(X2)
| relation_dom_restriction(relation_rng_restriction(X0,X2),X1) = relation_rng_restriction(X0,relation_dom_restriction(X2,X1)) ),
inference(consistent_polarity_flipping,[],[f1039]) ).
fof(f1910,plain,
! [X0,X1] :
( relation(X1)
| relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
inference(consistent_polarity_flipping,[],[f1061]) ).
fof(f1911,plain,
~ relation(sK104),
inference(consistent_polarity_flipping,[],[f1063]) ).
fof(f4009,plain,
! [X0] : relation_restriction(sK104,X0) = relation_dom_restriction(relation_rng_restriction(X0,sK104),X0),
inference(resolution,[],[f1910,f1911]) ).
fof(f4981,plain,
! [X0,X1] : relation_dom_restriction(relation_rng_restriction(X0,sK104),X1) = relation_rng_restriction(X0,relation_dom_restriction(sK104,X1)),
inference(resolution,[],[f1888,f1911]) ).
fof(f13994,plain,
relation_restriction(sK104,sK103) != relation_dom_restriction(relation_rng_restriction(sK103,sK104),sK103),
inference(superposition,[],[f1064,f4981]) ).
fof(f14006,plain,
$false,
inference(forward_subsumption_resolution,[],[f13994,f4009]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU247+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n001.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 04:24:48 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 2.21/0.97 % (14145)Will run a generic schedule for satisfiability detection.
% 2.21/0.97 % (14154)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2563163402:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.21/0.97 % (14151)% WARNING: option uhcvi not known.
% 2.21/0.97 % (14150)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1442091953_2999 on theBenchmark for (2999ds/0Mi)
% 2.21/0.97 % (14151)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2339529643:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.21/0.97 % (14152)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1734070948:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.21/0.97 % (14153)dis+10_1_sil=32000:sp=arity:random_seed=649730396:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.21/0.97 % (14155)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4247237294:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.21/0.97 % (14156)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2462113511:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.21/0.97 % (14154)Instruction limit reached!
% 2.21/0.97 % (14154)------------------------------
% 2.21/0.97 % (14154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.97 % (14154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.97 % (14154)CaDiCaL version: 2.1.3
% 2.21/0.97 % (14154)Termination reason: Instruction limit
% 2.21/0.97 % (14154)Termination phase: Saturation
% 2.21/0.97 % (14154)Time elapsed: 0.038 s
% 2.21/0.97 % (14154)Peak memory usage: 13 MB
% 2.21/0.97 % (14154)Instructions burned: 117 (million)
% 2.21/0.97 % (14164)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2315370732:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.21/0.97 % TRYING [1]
% 2.21/0.97 % (14153)Instruction limit reached!
% 2.21/0.97 % (14153)------------------------------
% 2.21/0.97 % (14153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.97 % (14153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.97 % (14153)CaDiCaL version: 2.1.3
% 2.21/0.97 % (14153)Termination reason: Instruction limit
% 2.21/0.97 % (14153)Termination phase: Saturation
% 2.21/0.97 % (14153)Time elapsed: 0.066 s
% 2.21/0.97 % (14153)Peak memory usage: 13 MB
% 2.21/0.97 % (14153)Instructions burned: 104 (million)
% 2.21/0.97 % (14155)Instruction limit reached!
% 2.21/0.97 % (14155)------------------------------
% 2.21/0.97 % (14155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.97 % (14155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.97 % (14155)CaDiCaL version: 2.1.3
% 2.21/0.97 % (14155)Termination reason: Instruction limit
% 2.21/0.97 % (14155)Termination phase: Saturation
% 2.21/0.97 % (14155)Time elapsed: 0.067 s
% 2.21/0.97 % (14155)Peak memory usage: 14 MB
% 2.21/0.97 % (14155)Instructions burned: 131 (million)
% 2.21/0.97 % TRYING [2]
% 2.21/0.97 % TRYING [1]
% 2.21/0.97 % TRYING [2]
% 2.21/0.97 % (14166)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3263973827:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.21/0.97 % (14167)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=1739914474:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.21/0.97 % TRYING [3]
% 2.21/0.97 % (14156)Instruction limit reached!
% 2.21/0.97 % (14156)------------------------------
% 2.21/0.97 % (14156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.97 % (14156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.97 % (14156)CaDiCaL version: 2.1.3
% 2.21/0.97 % (14156)Termination reason: Instruction limit
% 2.21/0.97 % (14156)Termination phase: Saturation
% 2.21/0.97 % (14156)Time elapsed: 0.097 s
% 2.21/0.97 % (14156)Peak memory usage: 14 MB
% 2.21/0.97 % (14156)Instructions burned: 159 (million)
% 2.21/0.97 % TRYING [3]
% 2.21/0.97 % (14170)ott-21_1_sil=16000:fs=off:random_seed=3038747746:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.21/0.97 % (14166)Instruction limit reached!
% 2.21/0.97 % (14166)------------------------------
% 2.21/0.97 % (14166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.97 % (14166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.97 % (14166)CaDiCaL version: 2.1.3
% 2.21/0.97 % (14166)Termination reason: Instruction limit
% 2.21/0.97 % (14166)Termination phase: Saturation
% 2.21/0.97 % (14166)Time elapsed: 0.075 s
% 2.21/0.97 % (14166)Peak memory usage: 14 MB
% 2.21/0.97 % (14166)Instructions burned: 132 (million)
% 2.21/0.97 % TRYING [4]
% 2.21/0.97 % (14172)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1190274996:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.21/0.97 % (14164)Instruction limit reached!
% 2.21/0.97 % (14164)------------------------------
% 2.21/0.97 % (14164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.97 % (14164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.97 % (14164)CaDiCaL version: 2.1.3
% 2.21/0.97 % (14164)Termination reason: Instruction limit
% 2.21/0.97 % (14164)Termination phase: Finite model building constraint generation
% 2.21/0.97 % (14164)Time elapsed: 0.155 s
% 2.21/0.97 % (14164)Peak memory usage: 35 MB
% 2.21/0.97 % (14164)Instructions burned: 715 (million)
% 2.21/0.97 % (14174)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1421579638:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.21/0.97 % (14170)Instruction limit reached!
% 2.21/0.97 % (14170)------------------------------
% 2.21/0.97 % (14170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.97 % (14170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.97 % (14170)CaDiCaL version: 2.1.3
% 2.21/0.97 % (14170)Termination reason: Instruction limit
% 2.21/0.97 % (14170)Termination phase: Saturation
% 2.21/0.97 % (14170)Time elapsed: 0.099 s
% 2.21/0.97 % (14170)Peak memory usage: 14 MB
% 2.21/0.97 % (14170)Instructions burned: 181 (million)
% 2.21/0.97 % (14176)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2605685158:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.21/0.97 % TRYING [1]
% 2.21/0.97 % TRYING [2]
% 2.21/0.97 % TRYING [3]
% 2.21/0.97 % TRYING [4]
% 2.21/0.97 % (14174)Instruction limit reached!
% 2.21/0.97 % (14174)------------------------------
% 2.21/0.97 % (14174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.97 % (14174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.97 % (14174)CaDiCaL version: 2.1.3
% 2.21/0.97 % (14174)Termination reason: Instruction limit
% 2.21/0.97 % (14174)Termination phase: Finite model building SAT solving
% 2.21/0.97 % (14174)Time elapsed: 0.208 s
% 2.21/0.97 % (14174)Peak memory usage: 39 MB
% 2.21/0.97 % (14174)Instructions burned: 867 (million)
% 2.21/0.97 % (14178)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1467437562:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.21/0.97 % (14151) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-14145-14151"...
% 2.21/0.97 % (14151)...printing done.
% 2.21/0.97 % (14151)Refutation found. Thanks to Tanya!
% 2.21/0.97 % SZS status Theorem for theBenchmark
% 2.21/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.21/0.97 % (14151)------------------------------
% 2.21/0.97 % (14151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.97 % (14151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.97 % (14151)CaDiCaL version: 2.1.3
% 2.21/0.97 % (14151)Termination reason: Refutation
% 2.21/0.97 % (14151)Time elapsed: 0.474 s
% 2.21/0.97 % (14151)Peak memory usage: 20 MB
% 2.21/0.97 % (14151)Instructions burned: 768 (million)
% 2.21/0.97 % (14145)Success in time 0.527 s
% 2.21/0.97 % Vampire exiting
%------------------------------------------------------------------------------