%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN645-1 : 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 02:17:48 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.38s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 55 ( 23 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-5 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_1) ).
fof(f7,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_7) ).
fof(f9,negated_conjecture,
p23(c28,f8(f10(c29,f11(c27,c30)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_9) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_16) ).
fof(f22,negated_conjecture,
~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_22) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p12(X3,X0)
| ~ p12(X2,X1)
| ~ p25(X3,X2)
| p25(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_23) ).
fof(f32,negated_conjecture,
~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f17_is_not_p24_32) ).
fof(f33,negated_conjecture,
p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_33) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p22(f3(f4(f5(c26))),X2)
| p25(f13(f14(X0,f16(f10(X1,f11(X2,X3)),c32,X0))),f13(f14(X0,X4)))
| ~ p23(X4,f8(f10(X1,f11(X2,X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_37) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p22(f3(f4(f5(c26))),X2)
| p23(f21(X1,X2,X3,X4,X0),f8(f10(X1,f11(X2,X3))))
| p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4))
| ~ p23(X0,f8(f10(X1,f11(X2,X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_41) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( ~ p22(f3(f4(f5(c26))),X2)
| p24(f17(f10(X1,f11(X2,X3)),f16(f10(X1,f11(X2,X3)),c32,X4)))
| p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4))
| ~ p23(X0,f8(f10(X1,f11(X2,X3))))
| ~ p25(f13(f14(X4,X0)),f13(f14(X4,f21(X1,X2,X3,X4,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_42) ).
fof(f49,plain,
! [X0,X1] :
( ~ p12(X0,X1)
| p12(X1,X0) ),
inference(resolution,[],[f16,f1]) ).
fof(f82,plain,
p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))),
inference(resolution,[],[f33,f49]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( ~ p23(X3,f8(f10(X1,f11(c27,X2))))
| p25(f13(f14(X0,f16(f10(X1,f11(c27,X2)),c32,X0))),f13(f14(X0,X3))) ),
inference(resolution,[],[f37,f7]) ).
fof(f97,plain,
! [X0,X1] :
( ~ p12(X0,X1)
| ~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X0)
| p25(f13(f14(c31,c28)),X1) ),
inference(resolution,[],[f82,f23]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ p23(X3,f8(f10(X0,f11(c27,X1))))
| p24(f17(f10(X0,f11(c27,X1)),f16(f10(X0,f11(c27,X1)),c32,X2)))
| p12(X3,f16(f10(X0,f11(c27,X1)),c32,X2))
| p23(f21(X0,c27,X1,X2,X3),f8(f10(X0,f11(c27,X1)))) ),
inference(resolution,[],[f41,f7]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( ~ p23(X3,f8(f10(X0,f11(c27,X1))))
| p12(X3,f16(f10(X0,f11(c27,X1)),c32,X2))
| p24(f17(f10(X0,f11(c27,X1)),f16(f10(X0,f11(c27,X1)),c32,X2)))
| ~ p25(f13(f14(X2,X3)),f13(f14(X2,f21(X0,c27,X1,X2,X3)))) ),
inference(resolution,[],[f42,f7]) ).
fof(f243,plain,
! [X0] :
( p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,X0)))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))
| p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30)))) ),
inference(resolution,[],[f136,f9]) ).
fof(f261,plain,
! [X0] :
( ~ p25(f13(f14(X0,c28)),f13(f14(X0,f21(c29,c27,c30,X0,c28))))
| p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,X0)))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0)) ),
inference(resolution,[],[f139,f9]) ).
fof(f820,plain,
( p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))
| p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))) ),
inference(resolution,[],[f243,f32]) ).
fof(f822,plain,
p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
inference(forward_subsumption_resolution,[],[f820,f22]) ).
fof(f827,plain,
! [X0] : p25(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),f13(f14(X0,f21(c29,c27,c30,c31,c28)))),
inference(resolution,[],[f822,f94]) ).
fof(f847,plain,
! [X0] :
( ~ p25(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X0)
| p25(f13(f14(c31,c28)),X0) ),
inference(resolution,[],[f97,f1]) ).
fof(f1182,plain,
p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
inference(resolution,[],[f827,f847]) ).
fof(f1206,plain,
( p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31)))
| p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ),
inference(resolution,[],[f1182,f261]) ).
fof(f1208,plain,
p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
inference(forward_subsumption_resolution,[],[f1206,f32]) ).
fof(f1209,plain,
$false,
inference(forward_subsumption_resolution,[],[f1208,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN645-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n017.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 16:34:51 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.38 % (3690044)Will run a generic schedule for satisfiability detection.
% 0.19/0.38 % (3690054)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1842206843:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.38 % (3690050)% WARNING: option uhcvi not known.
% 0.19/0.38 % (3690049)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4170433502_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.38 % (3690050)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1778465874:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.38 % (3690052)dis+10_1_sil=32000:sp=arity:random_seed=4266062848:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.38 % (3690051)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2475141880:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.38 % (3690055)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=268404316:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.38 % (3690053)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2313350928:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.38 % TRYING [1]
% 0.19/0.38 % TRYING [2]
% 0.19/0.38 % TRYING [3]
% 0.19/0.38 % (3690054)Instruction limit reached!
% 0.19/0.38 % (3690054)------------------------------
% 0.19/0.38 % (3690054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.38 % (3690054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.38 % (3690054)CaDiCaL version: 2.1.3
% 0.19/0.38 % (3690054)Termination reason: Instruction limit
% 0.19/0.38 % (3690054)Termination phase: Saturation
% 0.19/0.38 % (3690054)Time elapsed: 0.045 s
% 0.19/0.38 % (3690054)Peak memory usage: 14 MB
% 0.19/0.38 % (3690054)Instructions burned: 133 (million)
% 0.19/0.38 % (3690063)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1848776485:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.38 % TRYING [1]
% 0.19/0.38 % TRYING [2]
% 0.19/0.38 % (3690053)Instruction limit reached!
% 0.19/0.38 % (3690053)------------------------------
% 0.19/0.38 % (3690053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.38 % (3690053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.38 % (3690053)CaDiCaL version: 2.1.3
% 0.19/0.38 % (3690053)Termination reason: Instruction limit
% 0.19/0.38 % (3690053)Termination phase: Saturation
% 0.19/0.38 % (3690053)Time elapsed: 0.060 s
% 0.19/0.38 % (3690053)Peak memory usage: 12 MB
% 0.19/0.38 % (3690053)Instructions burned: 116 (million)
% 0.19/0.38 % (3690052)Instruction limit reached!
% 0.19/0.38 % (3690052)------------------------------
% 0.19/0.38 % (3690052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.38 % (3690052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.38 % (3690052)CaDiCaL version: 2.1.3
% 0.19/0.38 % (3690052)Termination reason: Instruction limit
% 0.19/0.38 % (3690052)Termination phase: Saturation
% 0.19/0.38 % (3690052)Time elapsed: 0.061 s
% 0.19/0.38 % (3690052)Peak memory usage: 12 MB
% 0.19/0.38 % (3690052)Instructions burned: 103 (million)
% 0.19/0.38 % TRYING [3]
% 0.19/0.38 % (3690065)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1022998121:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.38 % (3690066)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=3937453183:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.19/0.38 % (3690055)Instruction limit reached!
% 0.19/0.38 % (3690055)------------------------------
% 0.19/0.38 % (3690055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.38 % (3690055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.38 % (3690055)CaDiCaL version: 2.1.3
% 0.19/0.38 % (3690055)Termination reason: Instruction limit
% 0.19/0.38 % (3690055)Termination phase: Saturation
% 0.19/0.38 % (3690055)Time elapsed: 0.094 s
% 0.19/0.38 % (3690055)Peak memory usage: 13 MB
% 0.19/0.38 % (3690055)Instructions burned: 160 (million)
% 0.19/0.38 % (3690065) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3690044-3690065"...
% 0.19/0.38 % (3690065)...printing done.
% 0.19/0.38 % (3690069)ott-21_1_sil=16000:fs=off:random_seed=1447594774:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.19/0.38 % (3690065)Refutation found. Thanks to Tanya!
% 0.19/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.38 % (3690065)------------------------------
% 0.19/0.38 % (3690065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.38 % (3690065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.38 % (3690065)CaDiCaL version: 2.1.3
% 0.19/0.38 % (3690065)Termination reason: Refutation
% 0.19/0.38 % (3690065)Time elapsed: 0.030 s
% 0.19/0.38 % (3690065)Peak memory usage: 12 MB
% 0.19/0.38 % (3690065)Instructions burned: 41 (million)
% 0.19/0.38 % (3690044)Success in time 0.147 s
% 0.19/0.38 % Vampire exiting
%------------------------------------------------------------------------------