%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN560-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 02:17:36 PM UTC 2026
% Result : Unsatisfiable 3.06s 0.68s
% Output : Refutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 68 ( 33 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
~ p2(c9,f3(c10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_2) ).
fof(f4,negated_conjecture,
! [X0] : p2(f4(X0),f5(X0,f3(f7(c10)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( ~ p8(X2,X1)
| ~ p8(X0,X2)
| p8(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_9) ).
fof(f10,negated_conjecture,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_10) ).
fof(f11,negated_conjecture,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_11) ).
fof(f12,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p8(X3,X2)
| ~ p2(X2,X1)
| p8(X0,X1)
| ~ p2(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_12) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f6(X0,X1),f6(X2,X3))
| ~ p2(X1,X3)
| ~ p2(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10)))))
| p2(X0,f3(c10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
fof(f45,plain,
! [X2,X3,X0,X1,X4] :
( ~ p2(f6(X2,X0),X4)
| ~ p2(X2,X3)
| ~ p2(X0,X1)
| p2(X4,f6(X3,X1)) ),
inference(resolution,[],[f14,f8]) ).
fof(f47,plain,
! [X2,X0,X1] :
( p8(X1,f6(X0,f5(X2,f3(f7(c10)))))
| ~ p8(X1,f6(X0,X2))
| p2(X0,f3(c10)) ),
inference(resolution,[],[f15,f9]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p2(X0,X4)
| ~ p2(X2,X3)
| p2(f6(X4,X5),f6(X1,X3))
| ~ p2(X2,X5)
| ~ p2(X0,X1) ),
inference(resolution,[],[f45,f14]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4] :
( ~ p8(X0,f6(X1,X2))
| p2(X1,f3(c10))
| ~ p2(f6(X1,f5(X2,f3(f7(c10)))),X3)
| p8(X4,X3)
| ~ p2(X0,X4) ),
inference(resolution,[],[f47,f12]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X4] :
( ~ p2(X2,X4)
| p2(f6(X2,X3),f6(X4,X1))
| ~ p2(X0,X3)
| ~ p2(X0,X1) ),
inference(resolution,[],[f75,f1]) ).
fof(f334,plain,
! [X0,X1] :
( p2(c9,f3(c10))
| ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),X0)
| p8(X1,X0)
| ~ p2(f6(c9,f4(c12)),X1) ),
inference(resolution,[],[f91,f10]) ).
fof(f343,plain,
! [X0,X1] :
( ~ p2(f6(c9,f4(c12)),X1)
| p8(X1,X0)
| ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),X0) ),
inference(forward_subsumption_resolution,[],[f334,f2]) ).
fof(f1592,plain,
! [X2,X3,X0,X1] :
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(f6(X0,X1),f6(X0,X2)) ),
inference(resolution,[],[f269,f1]) ).
fof(f2506,plain,
! [X0] :
( ~ p2(f6(c9,f5(f4(f5(c12,c14)),f3(f7(c10)))),X0)
| p8(f6(c9,f4(c12)),X0) ),
inference(resolution,[],[f343,f1]) ).
fof(f7098,plain,
! [X2,X0,X1] :
( ~ p2(X0,X1)
| p2(f6(X2,X1),f6(X2,X0)) ),
inference(resolution,[],[f1592,f1]) ).
fof(f7280,plain,
! [X0,X1] : p2(f6(X0,f5(X1,f3(f7(c10)))),f6(X0,f4(X1))),
inference(resolution,[],[f7098,f4]) ).
fof(f18978,plain,
p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
inference(resolution,[],[f2506,f7280]) ).
fof(f18993,plain,
$false,
inference(forward_subsumption_resolution,[],[f18978,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN560-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.17 % Computer : n006.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 16:29:10 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.21 Running first-order model finding
% 0.12/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.06/0.68 % (4098091)Will run a generic schedule for satisfiability detection.
% 3.06/0.68 % (4098103)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3945381155:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 3.06/0.68 % (4098100)% WARNING: option uhcvi not known.
% 3.06/0.68 % (4098101)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2127218608:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 3.06/0.68 % (4098099)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4268864554_3000 on theBenchmark for (3000ds/0Mi)
% 3.06/0.68 % (4098100)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=410202786:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 3.06/0.68 % (4098102)dis+10_1_sil=32000:sp=arity:random_seed=4191437927:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 3.06/0.68 % (4098104)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2501577259:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 3.06/0.68 % (4098105)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1457874201:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 3.06/0.68 % TRYING [1]
% 3.06/0.68 % TRYING [2]
% 3.06/0.68 % TRYING [3]
% 3.06/0.68 % (4098103)Instruction limit reached!
% 3.06/0.68 % (4098103)------------------------------
% 3.06/0.68 % (4098103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.68 % (4098103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.68 % (4098103)CaDiCaL version: 2.1.3
% 3.06/0.68 % (4098103)Termination reason: Instruction limit
% 3.06/0.68 % (4098103)Termination phase: Saturation
% 3.06/0.68 % (4098103)Time elapsed: 0.032 s
% 3.06/0.68 % (4098103)Peak memory usage: 11 MB
% 3.06/0.68 % (4098103)Instructions burned: 119 (million)
% 3.06/0.68 % (4098131)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=519684616:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.06/0.68 % TRYING [1]
% 3.06/0.68 % TRYING [2]
% 3.06/0.68 % TRYING [3]
% 3.06/0.68 % (4098102)Instruction limit reached!
% 3.06/0.68 % (4098102)------------------------------
% 3.06/0.68 % (4098102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.68 % (4098102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.68 % (4098102)CaDiCaL version: 2.1.3
% 3.06/0.68 % (4098102)Termination reason: Instruction limit
% 3.06/0.68 % (4098102)Termination phase: Saturation
% 3.06/0.68 % (4098102)Time elapsed: 0.054 s
% 3.06/0.68 % (4098102)Peak memory usage: 11 MB
% 3.06/0.68 % (4098102)Instructions burned: 103 (million)
% 3.06/0.68 % TRYING [4]
% 3.06/0.68 % TRYING [4]
% 3.06/0.68 % (4098146)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3852181131:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.06/0.68 % (4098104)Instruction limit reached!
% 3.06/0.68 % (4098104)------------------------------
% 3.06/0.68 % (4098104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.68 % (4098104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.68 % (4098104)CaDiCaL version: 2.1.3
% 3.06/0.68 % (4098104)Termination reason: Instruction limit
% 3.06/0.68 % (4098104)Termination phase: Saturation
% 3.06/0.68 % (4098104)Time elapsed: 0.077 s
% 3.06/0.68 % (4098104)Peak memory usage: 14 MB
% 3.06/0.68 % (4098104)Instructions burned: 132 (million)
% 3.06/0.68 % (4098159)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=1268218588:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.06/0.68 % (4098105)Instruction limit reached!
% 3.06/0.68 % (4098105)------------------------------
% 3.06/0.68 % (4098105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.68 % (4098105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.68 % (4098105)CaDiCaL version: 2.1.3
% 3.06/0.68 % (4098105)Termination reason: Instruction limit
% 3.06/0.68 % (4098105)Termination phase: Saturation
% 3.06/0.68 % (4098105)Time elapsed: 0.097 s
% 3.06/0.68 % (4098105)Peak memory usage: 14 MB
% 3.06/0.68 % (4098105)Instructions burned: 163 (million)
% 3.06/0.68 % (4098167)ott-21_1_sil=16000:fs=off:random_seed=1807845852:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.06/0.68 % (4098146)Instruction limit reached!
% 3.06/0.68 % (4098146)------------------------------
% 3.06/0.68 % (4098146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.68 % (4098146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.68 % (4098146)CaDiCaL version: 2.1.3
% 3.06/0.68 % (4098146)Termination reason: Instruction limit
% 3.06/0.68 % (4098146)Termination phase: Saturation
% 3.06/0.68 % (4098146)Time elapsed: 0.077 s
% 3.06/0.68 % (4098146)Peak memory usage: 15 MB
% 3.06/0.68 % (4098146)Instructions burned: 131 (million)
% 3.06/0.68 % (4098187)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1621094311:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.06/0.68 % (4098167)Instruction limit reached!
% 3.06/0.68 % (4098167)------------------------------
% 3.06/0.68 % (4098167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.68 % (4098167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.68 % (4098167)CaDiCaL version: 2.1.3
% 3.06/0.68 % (4098167)Termination reason: Instruction limit
% 3.06/0.68 % (4098167)Termination phase: Saturation
% 3.06/0.68 % (4098167)Time elapsed: 0.095 s
% 3.06/0.68 % (4098167)Peak memory usage: 11 MB
% 3.06/0.68 % (4098167)Instructions burned: 180 (million)
% 3.06/0.68 % (4098203)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1468977594:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.06/0.68 % TRYING [1]
% 3.06/0.68 % TRYING [2]
% 3.06/0.68 % TRYING [3]
% 3.06/0.68 % TRYING [4]
% 3.06/0.68 % (4098131)Instruction limit reached!
% 3.06/0.68 % (4098131)------------------------------
% 3.06/0.68 % (4098131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.68 % (4098131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.68 % (4098131)CaDiCaL version: 2.1.3
% 3.06/0.68 % (4098131)Termination reason: Instruction limit
% 3.06/0.68 % (4098131)Termination phase: Finite model building SAT solving
% 3.06/0.68 % (4098131)Time elapsed: 0.225 s
% 3.06/0.68 % (4098131)Peak memory usage: 12 MB
% 3.06/0.68 % (4098131)Instructions burned: 715 (million)
% 3.06/0.68 % (4098205)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4140090095:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.06/0.68 % TRYING [5]
% 3.06/0.68 % (4098100) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4098091-4098100"...
% 3.06/0.68 % (4098100)...printing done.
% 3.06/0.68 % (4098100)Refutation found. Thanks to Tanya!
% 3.06/0.68 % SZS status Unsatisfiable for theBenchmark
% 3.06/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 3.06/0.68 % (4098100)------------------------------
% 3.06/0.68 % (4098100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.06/0.68 % (4098100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/0.68 % (4098100)CaDiCaL version: 2.1.3
% 3.06/0.68 % (4098100)Termination reason: Refutation
% 3.06/0.68 % (4098100)Time elapsed: 0.436 s
% 3.06/0.68 % (4098100)Peak memory usage: 17 MB
% 3.06/0.68 % (4098100)Instructions burned: 867 (million)
% 3.06/0.68 % (4098091)Success in time 0.462 s
% 3.06/0.68 % Vampire exiting
%------------------------------------------------------------------------------