%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN608-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 02:17:43 PM UTC 2026
% Result : Unsatisfiable 2.87s 0.66s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 43 ( 20 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
fof(f4,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).
fof(f6,negated_conjecture,
p3(f12(c22,c21),f15(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
fof(f12,negated_conjecture,
! [X0,X1] :
( p2(f9(X0),f9(X1))
| ~ p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1] :
( p17(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p17(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_20) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( p3(f10(X0,X1),f10(X2,X3))
| ~ p3(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_24) ).
fof(f27,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_27) ).
fof(f29,negated_conjecture,
! [X0] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_29) ).
fof(f32,plain,
! [X0] : ~ p3(X0,X0),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f33,plain,
~ p3(f12(c22,c21),f15(c22)),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f37,plain,
! [X0,X1] :
( p2(f9(X0),f9(X1))
| p3(X0,X1) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( ~ p17(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| p17(X2,X3) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ p3(f10(X0,X1),f10(X2,X3))
| p3(X0,X2)
| p3(X1,X3) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f48,plain,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f50,plain,
! [X0] : p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f64,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(X1,X0) ),
inference(resolution,[],[f17,f2]) ).
fof(f69,plain,
! [X0,X1] :
( p2(f9(X0),f9(X1))
| p3(X1,X0) ),
inference(resolution,[],[f64,f37]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ p2(X2,f6(f7(f8(c20))))
| ~ p2(X0,f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))))
| p17(X0,X2) ),
inference(resolution,[],[f50,f42]) ).
fof(f103,plain,
! [X0,X1] :
( ~ p2(X0,f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))))
| p17(X0,f6(f7(f8(c20)))) ),
inference(resolution,[],[f81,f2]) ).
fof(f189,plain,
! [X0,X1] :
( p3(f10(f14(f4(f9(c19)),c19),f12(X1,c21)),X0)
| p17(f9(X0),f6(f7(f8(c20)))) ),
inference(resolution,[],[f103,f69]) ).
fof(f1078,plain,
! [X2,X0,X1] :
( p17(f9(f10(X0,X1)),f6(f7(f8(c20))))
| p3(f12(X2,c21),X1)
| p3(f14(f4(f9(c19)),c19),X0) ),
inference(resolution,[],[f189,f45]) ).
fof(f18242,plain,
! [X0] :
( p3(f12(X0,c21),f15(c22))
| p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)) ),
inference(resolution,[],[f1078,f48]) ).
fof(f18257,plain,
! [X0] : p3(f12(X0,c21),f15(c22)),
inference(forward_subsumption_resolution,[],[f18242,f32]) ).
fof(f18258,plain,
$false,
inference(backward_subsumption_resolution,[],[f33,f18257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN608-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:35:18 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.23 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
% 2.87/0.66 % (4142899)Will run a generic schedule for satisfiability detection.
% 2.87/0.66 % (4142905)% WARNING: option uhcvi not known.
% 2.87/0.66 % (4142905)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=380097775:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.87/0.66 % (4142904)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=339313752_2999 on theBenchmark for (2999ds/0Mi)
% 2.87/0.66 % (4142906)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1390226855:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.87/0.66 % (4142907)dis+10_1_sil=32000:sp=arity:random_seed=2674792392:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.87/0.66 % (4142909)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=986651605:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.87/0.66 % (4142910)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=598428752:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.87/0.66 % (4142908)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3641788115:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.87/0.66 % TRYING [1]
% 2.87/0.66 % TRYING [2]
% 2.87/0.66 % TRYING [3]
% 2.87/0.66 % TRYING [4]
% 2.87/0.66 % (4142908)Instruction limit reached!
% 2.87/0.66 % (4142908)------------------------------
% 2.87/0.66 % (4142908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.66 % (4142908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.66 % (4142908)CaDiCaL version: 2.1.3
% 2.87/0.66 % (4142908)Termination reason: Instruction limit
% 2.87/0.66 % (4142908)Termination phase: Saturation
% 2.87/0.66 % (4142908)Time elapsed: 0.058 s
% 2.87/0.66 % (4142908)Peak memory usage: 12 MB
% 2.87/0.66 % (4142908)Instructions burned: 117 (million)
% 2.87/0.66 % (4142907)Instruction limit reached!
% 2.87/0.66 % (4142907)------------------------------
% 2.87/0.66 % (4142907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.66 % (4142907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.66 % (4142907)CaDiCaL version: 2.1.3
% 2.87/0.66 % (4142907)Termination reason: Instruction limit
% 2.87/0.66 % (4142907)Termination phase: Saturation
% 2.87/0.66 % (4142907)Time elapsed: 0.059 s
% 2.87/0.66 % (4142907)Peak memory usage: 12 MB
% 2.87/0.66 % (4142907)Instructions burned: 103 (million)
% 2.87/0.66 % (4142909)Instruction limit reached!
% 2.87/0.66 % (4142909)------------------------------
% 2.87/0.66 % (4142909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.66 % (4142909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.66 % (4142909)CaDiCaL version: 2.1.3
% 2.87/0.66 % (4142909)Termination reason: Instruction limit
% 2.87/0.66 % (4142909)Termination phase: Saturation
% 2.87/0.66 % (4142909)Time elapsed: 0.073 s
% 2.87/0.66 % (4142909)Peak memory usage: 15 MB
% 2.87/0.66 % (4142909)Instructions burned: 132 (million)
% 2.87/0.66 % (4142919)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3881995885:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.87/0.66 % (4142918)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4127926848:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.87/0.66 % TRYING [1]
% 2.87/0.66 % TRYING [2]
% 2.87/0.66 % TRYING [3]
% 2.87/0.66 % (4142920)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=1314333536:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.87/0.66 % (4142910)Instruction limit reached!
% 2.87/0.66 % (4142910)------------------------------
% 2.87/0.66 % (4142910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.66 % (4142910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.66 % (4142910)CaDiCaL version: 2.1.3
% 2.87/0.66 % (4142910)Termination reason: Instruction limit
% 2.87/0.66 % (4142910)Termination phase: Saturation
% 2.87/0.66 % (4142910)Time elapsed: 0.093 s
% 2.87/0.66 % (4142910)Peak memory usage: 14 MB
% 2.87/0.66 % (4142910)Instructions burned: 160 (million)
% 2.87/0.66 % (4142924)ott-21_1_sil=16000:fs=off:random_seed=3261790751:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.87/0.66 % TRYING [4]
% 2.87/0.66 % (4142919)Instruction limit reached!
% 2.87/0.66 % (4142919)------------------------------
% 2.87/0.66 % (4142919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.66 % (4142919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.66 % (4142919)CaDiCaL version: 2.1.3
% 2.87/0.66 % (4142919)Termination reason: Instruction limit
% 2.87/0.66 % (4142919)Termination phase: Saturation
% 2.87/0.66 % (4142919)Time elapsed: 0.073 s
% 2.87/0.66 % (4142919)Peak memory usage: 15 MB
% 2.87/0.66 % (4142919)Instructions burned: 132 (million)
% 2.87/0.66 % TRYING [5]
% 2.87/0.66 % (4142926)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3368083189:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.87/0.66 % (4142924)Instruction limit reached!
% 2.87/0.66 % (4142924)------------------------------
% 2.87/0.66 % (4142924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.66 % (4142924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.66 % (4142924)CaDiCaL version: 2.1.3
% 2.87/0.66 % (4142924)Termination reason: Instruction limit
% 2.87/0.66 % (4142924)Termination phase: Saturation
% 2.87/0.66 % (4142924)Time elapsed: 0.098 s
% 2.87/0.66 % (4142924)Peak memory usage: 12 MB
% 2.87/0.66 % (4142924)Instructions burned: 181 (million)
% 2.87/0.66 % (4142928)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3103909970:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.87/0.66 % TRYING [1]
% 2.87/0.66 % TRYING [2]
% 2.87/0.66 % TRYING [3]
% 2.87/0.66 % TRYING [4]
% 2.87/0.66 % TRYING [5]
% 2.87/0.66 % TRYING [5]
% 2.87/0.66 % (4142905) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4142899-4142905"...
% 2.87/0.66 % (4142905)...printing done.
% 2.87/0.66 % (4142905)Refutation found. Thanks to Tanya!
% 2.87/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.87/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/0.66 % (4142905)------------------------------
% 2.87/0.66 % (4142905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.66 % (4142905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.66 % (4142905)CaDiCaL version: 2.1.3
% 2.87/0.66 % (4142905)Termination reason: Refutation
% 2.87/0.66 % (4142905)Time elapsed: 0.398 s
% 2.87/0.66 % (4142905)Peak memory usage: 17 MB
% 2.87/0.66 % (4142905)Instructions burned: 1452 (million)
% 2.87/0.66 % (4142899)Success in time 0.424 s
% 2.87/0.66 % Vampire exiting
%------------------------------------------------------------------------------