%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN607-1 : 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 : 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 02:17:42 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 17 ~; 27 |; 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 : 48 ( 48 !; 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(f8,negated_conjecture,
p3(f12(f15(c22),c21),f15(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
fof(f12,negated_conjecture,
! [X0,X1] :
( p2(f9(X0),f9(X1))
| ~ p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_19) ).
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(f31,plain,
! [X0] : ~ p2(X0,X0),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f33,plain,
! [X0] : ~ p3(X0,X0),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f37,plain,
~ p3(f12(f15(c22),c21),f15(c22)),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f41,plain,
! [X0,X1] :
( ~ p2(f9(X0),f9(X1))
| p3(X0,X1) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ p3(X0,X1)
| p3(X2,X0)
| p3(X2,X1) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ p17(X0,X1)
| p2(X2,X0)
| p2(X3,X1)
| p17(X2,X3) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ p3(f10(X0,X1),f10(X2,X3))
| p3(X0,X2)
| p3(X1,X3) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f56,plain,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f58,plain,
! [X0] : p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f88,plain,
! [X2,X0,X1] :
( p2(X0,f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21))))
| p2(X2,f6(f7(f8(c20))))
| p17(X0,X2) ),
inference(resolution,[],[f58,f49]) ).
fof(f104,plain,
! [X2,X0,X1] :
( p2(X2,f6(f7(f8(c20))))
| p17(f9(X0),X2)
| p3(X0,f10(f14(f4(f9(c19)),c19),f12(X1,c21))) ),
inference(resolution,[],[f88,f41]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( p17(f9(f10(X0,X1)),X3)
| p3(X0,f14(f4(f9(c19)),c19))
| p3(X1,f12(X2,c21))
| p2(X3,f6(f7(f8(c20)))) ),
inference(resolution,[],[f104,f53]) ).
fof(f769,plain,
! [X0] :
( p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))
| p3(f15(c22),f12(X0,c21))
| p2(f6(f7(f8(c20))),f6(f7(f8(c20)))) ),
inference(resolution,[],[f148,f56]) ).
fof(f779,plain,
! [X0] :
( p3(f15(c22),f12(X0,c21))
| p2(f6(f7(f8(c20))),f6(f7(f8(c20)))) ),
inference(forward_subsumption_resolution,[],[f769,f33]) ).
fof(f788,plain,
! [X0] : p3(f15(c22),f12(X0,c21)),
inference(forward_subsumption_resolution,[],[f779,f31]) ).
fof(f789,plain,
! [X0,X1] :
( p3(X0,f12(X1,c21))
| p3(X0,f15(c22)) ),
inference(resolution,[],[f788,f48]) ).
fof(f790,plain,
! [X0] : p3(f12(X0,c21),f15(c22)),
inference(resolution,[],[f789,f33]) ).
fof(f818,plain,
$false,
inference(backward_subsumption_resolution,[],[f37,f790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN607-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:34:55 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.29 % (4100477)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (4100484)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=568754160:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (4100483)% WARNING: option uhcvi not known.
% 0.19/0.29 % (4100483)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3619295941:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (4100482)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1903691954_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (4100485)dis+10_1_sil=32000:sp=arity:random_seed=704898436:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (4100486)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=147334695:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % TRYING [1]
% 0.19/0.29 % TRYING [2]
% 0.19/0.29 % TRYING [3]
% 0.19/0.29 % (4100488)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=105366476:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (4100487)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3029829340:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (4100483) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4100477-4100483"...
% 0.19/0.29 % (4100483)...printing done.
% 0.19/0.29 % (4100483)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (4100483)------------------------------
% 0.19/0.29 % (4100483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (4100483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (4100483)CaDiCaL version: 2.1.3
% 0.19/0.29 % (4100483)Termination reason: Refutation
% 0.19/0.29 % (4100483)Time elapsed: 0.022 s
% 0.19/0.29 % (4100483)Peak memory usage: 11 MB
% 0.19/0.29 % (4100483)Instructions burned: 33 (million)
% 0.19/0.29 % (4100477)Success in time 0.062 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------