%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN600-1 : 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 : n026.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 02:17:41 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 43 ( 12 unt; 1 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 111 ( 56 ~; 54 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 8 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p19(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p19_1) ).
fof(f2,negated_conjecture,
p19(c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22_is_p19_2) ).
fof(f4,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
fof(f5,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_5) ).
fof(f7,negated_conjecture,
p7(f16(c21),f16(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_7) ).
fof(f8,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_8) ).
fof(f10,negated_conjecture,
! [X0,X1] :
( p7(f16(X0),f16(X1))
| ~ p5(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_10) ).
fof(f17,negated_conjecture,
! [X0,X1] :
( p7(f15(X0),f15(X1))
| ~ p7(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_17) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_19) ).
fof(f22,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p17(X2,X3)
| ~ p7(X2,X0)
| ~ p7(X3,X1)
| p17(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_22) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p18(X2,X3)
| ~ p7(X2,X0)
| ~ p7(X3,X1)
| p18(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_23) ).
fof(f27,negated_conjecture,
! [X0] :
( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| ~ p19(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_27) ).
fof(f28,negated_conjecture,
! [X0] :
( p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_28) ).
fof(f29,negated_conjecture,
! [X0,X1] :
( ~ p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X0)
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| p3(f4(f6(X0)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_29) ).
fof(f37,plain,
! [X0,X1] :
( ~ p7(X0,X1)
| p7(X1,X0) ),
inference(resolution,[],[f19,f4]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ p7(f15(X0),X1)
| p7(X1,f15(X2))
| ~ p7(X0,X2) ),
inference(resolution,[],[f19,f17]) ).
fof(f44,plain,
! [X0,X1] :
( p7(f16(X0),f16(X1))
| ~ p5(X1,X0) ),
inference(resolution,[],[f37,f10]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X1)
| ~ p19(X0)
| ~ p7(f15(f16(X0)),X2)
| p18(X1,X2) ),
inference(resolution,[],[f27,f23]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),X2)
| ~ p7(f15(f16(X0)),X1)
| ~ p19(X0)
| p17(X1,X2) ),
inference(resolution,[],[f28,f22]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ p7(X2,X1)
| p7(f15(X0),f15(X1))
| ~ p7(X2,X0) ),
inference(resolution,[],[f41,f17]) ).
fof(f155,plain,
! [X0,X1] :
( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X1)
| ~ p7(f15(f16(X0)),X1)
| ~ p19(X0) ),
inference(resolution,[],[f76,f4]) ).
fof(f162,plain,
! [X0,X1] :
( p17(X1,f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X0)
| ~ p7(f15(f16(X0)),X1) ),
inference(resolution,[],[f79,f4]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ p7(f16(X2),X0)
| p7(f15(X0),f15(f16(X1)))
| ~ p5(X1,X2) ),
inference(resolution,[],[f105,f44]) ).
fof(f364,plain,
! [X0,X1] :
( ~ p19(X0)
| ~ p7(f15(f16(X0)),f15(f16(X1)))
| ~ p19(X1)
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1)))
| p3(f4(f6(X1)),f4(f6(X0))) ),
inference(resolution,[],[f162,f29]) ).
fof(f365,plain,
! [X0,X1] :
( ~ p7(f15(f16(X0)),f15(f16(X1)))
| ~ p19(X0)
| ~ p19(X1)
| p3(f4(f6(X1)),f4(f6(X0))) ),
inference(forward_subsumption_resolution,[],[f364,f155]) ).
fof(f599,plain,
! [X0] :
( p7(f15(f16(c22)),f15(f16(X0)))
| ~ p5(X0,c21) ),
inference(resolution,[],[f186,f7]) ).
fof(f619,plain,
! [X0] :
( p7(f15(f16(X0)),f15(f16(c22)))
| ~ p5(X0,c21) ),
inference(resolution,[],[f599,f37]) ).
fof(f663,definition,
( spl0_2
<=> p7(f15(f16(c21)),f15(f16(c22))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f664,plain,
( ~ p7(f15(f16(c21)),f15(f16(c22)))
| spl0_2 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f665,plain,
( p7(f15(f16(c21)),f15(f16(c22)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f687,plain,
( p7(f15(f16(c22)),f15(f16(c21)))
| ~ spl0_2 ),
inference(resolution,[],[f665,f37]) ).
fof(f1741,plain,
( ~ p19(c22)
| ~ p19(c21)
| p3(f4(f6(c21)),f4(f6(c22)))
| ~ spl0_2 ),
inference(resolution,[],[f365,f687]) ).
fof(f1773,plain,
( ~ p19(c21)
| p3(f4(f6(c21)),f4(f6(c22)))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1741,f2]) ).
fof(f1779,plain,
( p3(f4(f6(c21)),f4(f6(c22)))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1773,f1]) ).
fof(f1780,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1779,f8]) ).
fof(f1781,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1780]) ).
fof(f1874,plain,
( ~ p5(c21,c21)
| spl0_2 ),
inference(resolution,[],[f664,f619]) ).
fof(f1905,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1874,f5]) ).
fof(f1906,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1905]) ).
cnf(s5,plain,
~ spl0_2,
inference(sat_conversion,[],[f1781]) ).
cnf(s15,plain,
spl0_2,
inference(sat_conversion,[],[f1906]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s5,s15]) ).
fof(f1907,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n026.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 16:36:59 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 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
% 0.18/0.31 % (3999499)Will run a generic schedule for satisfiability detection.
% 0.18/0.31 % (3999509)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2394038853:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.31 % (3999505)% WARNING: option uhcvi not known.
% 0.18/0.31 % (3999504)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1541853259_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.31 % (3999505)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2679606314:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.31 % (3999508)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2369550473:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.31 % (3999506)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1677672389:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.31 % (3999507)dis+10_1_sil=32000:sp=arity:random_seed=3626903831:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.31 % (3999510)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4151996167:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.31 % TRYING [1]
% 0.18/0.31 % TRYING [2]
% 0.18/0.31 % (3999509)Instruction limit reached!
% 0.18/0.31 % (3999509)------------------------------
% 0.18/0.31 % (3999509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.31 % (3999509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.31 % (3999509)CaDiCaL version: 2.1.3
% 0.18/0.31 % (3999509)Termination reason: Instruction limit
% 0.18/0.31 % (3999509)Termination phase: Saturation
% 0.18/0.31 % (3999509)Time elapsed: 0.041 s
% 0.18/0.31 % (3999509)Peak memory usage: 14 MB
% 0.18/0.31 % (3999509)Instructions burned: 132 (million)
% 0.18/0.31 % (3999507) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3999499-3999507"...
% 0.18/0.31 % (3999507)...printing done.
% 0.18/0.31 % (3999507)Refutation found. Thanks to Tanya!
% 0.18/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.32 % (3999507)------------------------------
% 0.18/0.32 % (3999507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.32 % (3999507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.32 % (3999507)CaDiCaL version: 2.1.3
% 0.18/0.32 % (3999507)Termination reason: Refutation
% 0.18/0.32 % (3999507)Time elapsed: 0.040 s
% 0.18/0.32 % (3999507)Peak memory usage: 12 MB
% 0.18/0.32 % (3999507)Instructions burned: 76 (million)
% 0.18/0.32 % (3999499)Success in time 0.065 s
% 0.18/0.32 % Vampire exiting
%------------------------------------------------------------------------------