%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN616-1 : 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 : n010.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 02:17:44 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 14 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f7,negated_conjecture,
p2(c25,c28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f27,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f12(X0,X1),f12(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f7(X0,X1),f7(X2,X3))
| ~ p2(X1,X3)
| ~ p2(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).
fof(f29,negated_conjecture,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_29) ).
fof(f30,negated_conjecture,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p14_30) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( p14(X0,X1,X2)
| ~ p2(X3,X2)
| ~ p2(X4,X1)
| ~ p2(X5,X0)
| ~ p14(X5,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_31) ).
fof(f35,plain,
! [X0] : ~ p2(X0,X0),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f36,plain,
~ p2(c25,c28),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( ~ p2(f12(X0,X1),f12(X2,X3))
| p2(X0,X2)
| p2(X1,X3) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f52,plain,
! [X2,X3,X0,X1] :
( ~ p2(f7(X0,X1),f7(X2,X3))
| p2(X1,X3)
| p2(X0,X2) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f53,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p14(X5,X4,X3)
| p2(X3,X2)
| p2(X4,X1)
| p2(X5,X0)
| p14(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f82,plain,
! [X2,X0,X1] :
( p2(f3(f5(c20)),X1)
| p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),X2)
| p14(X2,X1,X0)
| p2(f6(c21),X0) ),
inference(resolution,[],[f53,f29]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( p14(f7(X0,X1),X2,X3)
| p2(f12(f8(c21,f3(f5(c20))),c25),X1)
| p2(f6(c21),X3)
| p2(f3(f5(c20)),X2)
| p2(c22,X0) ),
inference(resolution,[],[f82,f52]) ).
fof(f336,plain,
( p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28))
| p2(f6(c21),f6(c21))
| p2(f3(f5(c20)),f3(f5(c20)))
| p2(c22,c22) ),
inference(resolution,[],[f103,f30]) ).
fof(f341,plain,
( p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28))
| p2(f6(c21),f6(c21))
| p2(f3(f5(c20)),f3(f5(c20))) ),
inference(forward_subsumption_resolution,[],[f336,f35]) ).
fof(f342,plain,
( p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28))
| p2(f6(c21),f6(c21)) ),
inference(forward_subsumption_resolution,[],[f341,f35]) ).
fof(f343,plain,
p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28)),
inference(forward_subsumption_resolution,[],[f342,f35]) ).
fof(f708,plain,
( p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
| p2(c25,c28) ),
inference(resolution,[],[f343,f51]) ).
fof(f710,plain,
p2(c25,c28),
inference(forward_subsumption_resolution,[],[f708,f35]) ).
fof(f711,plain,
$false,
inference(forward_subsumption_resolution,[],[f710,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN616-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n010.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 16:36:33 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.18/0.27 % (2061367)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (2061377)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3645923065:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.27 % (2061373)% WARNING: option uhcvi not known.
% 0.18/0.27 % (2061372)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4243255906_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.27 % (2061373)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1867834915:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.27 % (2061374)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2765567803:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.27 % (2061375)dis+10_1_sil=32000:sp=arity:random_seed=3549737349:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.27 % (2061376)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=677147736:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.27 % (2061378)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3988714001:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.27 % TRYING [1]
% 0.18/0.27 % TRYING [2]
% 0.18/0.27 % TRYING [3]
% 0.18/0.27 % TRYING [4]
% 0.18/0.27 % (2061373) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2061367-2061373"...
% 0.18/0.27 % (2061373)...printing done.
% 0.18/0.27 % (2061373)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27 % (2061373)------------------------------
% 0.18/0.27 % (2061373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (2061373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (2061373)CaDiCaL version: 2.1.3
% 0.18/0.27 % (2061373)Termination reason: Refutation
% 0.18/0.27 % (2061373)Time elapsed: 0.018 s
% 0.18/0.27 % (2061373)Peak memory usage: 12 MB
% 0.18/0.27 % (2061373)Instructions burned: 28 (million)
% 0.18/0.27 % (2061367)Success in time 0.058 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------