%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN639-1 : 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 : n017.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 02:17:47 PM UTC 2026
% Result : Unsatisfiable 0.81s 0.45s
% Output : Refutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 34 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f7,negated_conjecture,
~ p20(f17(c25),f17(c22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p20_7) ).
fof(f9,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
fof(f10,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
fof(f12,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_12) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_26) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( p19(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p19(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_28) ).
fof(f33,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_33) ).
fof(f34,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_34) ).
fof(f35,negated_conjecture,
! [X0,X1] :
( p20(f17(X0),f17(X1))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p19(f13(f11(X0)),f13(f11(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_35) ).
fof(f44,plain,
p20(f17(c25),f17(c22)),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f46,plain,
~ p19(f13(f11(c23)),f13(f11(c22))),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ p19(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p19(X2,X3) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f56,plain,
! [X0,X1] :
( p19(f13(f11(X0)),f13(f11(X1)))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p20(f17(X0),f17(X1)) ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f67,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(X1,X0) ),
inference(resolution,[],[f26,f5]) ).
fof(f93,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c23))),
inference(resolution,[],[f67,f33]) ).
fof(f94,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(resolution,[],[f67,f34]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ p2(f12(f11(X0)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p20(f17(X1),f17(X0))
| ~ p2(X2,f13(f11(X1)))
| ~ p2(X3,f13(f11(X0)))
| p19(X2,X3) ),
inference(resolution,[],[f56,f53]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ p20(f17(X0),f17(c22))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p2(X1,f13(f11(X0)))
| ~ p2(X2,f13(f11(c22)))
| p19(X1,X2) ),
inference(resolution,[],[f101,f10]) ).
fof(f507,plain,
! [X0] :
( ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X0)
| p2(X0,f13(f11(c25))) ),
inference(resolution,[],[f94,f26]) ).
fof(f642,plain,
! [X0,X1] :
( ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(X0,f13(f11(c25)))
| ~ p2(X1,f13(f11(c22)))
| p19(X0,X1) ),
inference(resolution,[],[f222,f44]) ).
fof(f647,plain,
! [X0,X1] :
( ~ p2(X1,f13(f11(c22)))
| ~ p2(X0,f13(f11(c25)))
| p19(X0,X1) ),
inference(forward_subsumption_resolution,[],[f642,f9]) ).
fof(f2970,plain,
! [X0] :
( p19(X0,f13(f11(c22)))
| ~ p2(X0,f13(f11(c25))) ),
inference(resolution,[],[f647,f5]) ).
fof(f4866,plain,
p2(f13(f11(c23)),f13(f11(c25))),
inference(resolution,[],[f507,f93]) ).
fof(f7291,plain,
~ p2(f13(f11(c23)),f13(f11(c25))),
inference(resolution,[],[f2970,f46]) ).
fof(f7293,plain,
$false,
inference(forward_subsumption_resolution,[],[f7291,f4866]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN639-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n017.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:34:32 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.24 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
% 0.81/0.45 % (3689172)Will run a generic schedule for satisfiability detection.
% 0.81/0.45 % (3689181)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=537541885:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.81/0.45 % (3689178)% WARNING: option uhcvi not known.
% 0.81/0.45 % (3689178)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4272541559:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.81/0.45 % (3689177)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=358723530_2999 on theBenchmark for (2999ds/0Mi)
% 0.81/0.45 % (3689179)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=535899873:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.81/0.45 % (3689180)dis+10_1_sil=32000:sp=arity:random_seed=3627316771:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.81/0.45 % (3689182)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2648986552:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.81/0.45 % (3689183)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2814247888:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.81/0.45 % TRYING [1]
% 0.81/0.45 % TRYING [2]
% 0.81/0.45 % TRYING [3]
% 0.81/0.45 % TRYING [4]
% 0.81/0.45 % (3689181)Instruction limit reached!
% 0.81/0.45 % (3689181)------------------------------
% 0.81/0.45 % (3689181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (3689181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (3689181)CaDiCaL version: 2.1.3
% 0.81/0.45 % (3689181)Termination reason: Instruction limit
% 0.81/0.45 % (3689181)Termination phase: Saturation
% 0.81/0.45 % (3689181)Time elapsed: 0.032 s
% 0.81/0.45 % (3689181)Peak memory usage: 12 MB
% 0.81/0.45 % (3689181)Instructions burned: 120 (million)
% 0.81/0.45 % TRYING [5]
% 0.81/0.45 % (3689191)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4077004200:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.81/0.45 % TRYING [1]
% 0.81/0.45 % TRYING [2]
% 0.81/0.45 % TRYING [3]
% 0.81/0.45 % TRYING [4]
% 0.81/0.45 % TRYING [6]
% 0.81/0.45 % (3689180)Instruction limit reached!
% 0.81/0.45 % (3689180)------------------------------
% 0.81/0.45 % (3689180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (3689180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (3689180)CaDiCaL version: 2.1.3
% 0.81/0.45 % (3689180)Termination reason: Instruction limit
% 0.81/0.45 % (3689180)Termination phase: Saturation
% 0.81/0.45 % (3689180)Time elapsed: 0.058 s
% 0.81/0.45 % (3689180)Peak memory usage: 12 MB
% 0.81/0.45 % (3689180)Instructions burned: 103 (million)
% 0.81/0.45 % (3689182)Instruction limit reached!
% 0.81/0.45 % (3689182)------------------------------
% 0.81/0.45 % (3689182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (3689182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (3689182)CaDiCaL version: 2.1.3
% 0.81/0.45 % (3689182)Termination reason: Instruction limit
% 0.81/0.45 % (3689182)Termination phase: Saturation
% 0.81/0.45 % (3689182)Time elapsed: 0.073 s
% 0.81/0.45 % (3689182)Peak memory usage: 14 MB
% 0.81/0.45 % (3689182)Instructions burned: 132 (million)
% 0.81/0.45 % (3689193)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2814621075:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.81/0.45 % TRYING [7]
% 0.81/0.45 % (3689194)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=1617412708:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.81/0.45 % (3689183)Instruction limit reached!
% 0.81/0.45 % (3689183)------------------------------
% 0.81/0.45 % (3689183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (3689183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (3689183)CaDiCaL version: 2.1.3
% 0.81/0.45 % (3689183)Termination reason: Instruction limit
% 0.81/0.45 % (3689183)Termination phase: Saturation
% 0.81/0.45 % (3689183)Time elapsed: 0.093 s
% 0.81/0.45 % (3689183)Peak memory usage: 13 MB
% 0.81/0.45 % (3689183)Instructions burned: 159 (million)
% 0.81/0.45 % TRYING [5]
% 0.81/0.45 % (3689197)ott-21_1_sil=16000:fs=off:random_seed=3440565654:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.81/0.45 % (3689193)Instruction limit reached!
% 0.81/0.45 % (3689193)------------------------------
% 0.81/0.45 % (3689193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (3689193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (3689193)CaDiCaL version: 2.1.3
% 0.81/0.45 % (3689193)Termination reason: Instruction limit
% 0.81/0.45 % (3689193)Termination phase: Saturation
% 0.81/0.45 % (3689193)Time elapsed: 0.074 s
% 0.81/0.45 % (3689193)Peak memory usage: 15 MB
% 0.81/0.45 % (3689193)Instructions burned: 131 (million)
% 0.81/0.45 % TRYING [6]
% 0.81/0.45 % (3689178) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3689172-3689178"...
% 0.81/0.45 % (3689178)...printing done.
% 0.81/0.45 % (3689178)Refutation found. Thanks to Tanya!
% 0.81/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.81/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.81/0.45 % (3689178)------------------------------
% 0.81/0.45 % (3689178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (3689178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (3689178)CaDiCaL version: 2.1.3
% 0.81/0.45 % (3689178)Termination reason: Refutation
% 0.81/0.45 % (3689178)Time elapsed: 0.164 s
% 0.81/0.45 % (3689178)Peak memory usage: 13 MB
% 0.81/0.45 % (3689178)Instructions burned: 285 (million)
% 0.81/0.45 % (3689172)Success in time 0.209 s
% 0.81/0.45 % Vampire exiting
%------------------------------------------------------------------------------