%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN577-1 : 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 : 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 02:17:38 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 55 ( 31 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f5,negated_conjecture,
p7(c9,c10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_5) ).
fof(f8,negated_conjecture,
p2(f4(c16,c14),c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
p2(f4(c15,c14),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
fof(f11,negated_conjecture,
p2(f5(f6(c9),c19),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
fof(f12,negated_conjecture,
p2(f5(f6(c9),c20),c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
fof(f20,negated_conjecture,
! [X2,X0,X1] :
( ~ p2(f4(X2,c14),f5(f6(X0),c20))
| ~ p2(c15,X1)
| ~ p2(c16,X2)
| ~ p2(f4(X1,c14),f5(f6(X0),c19))
| ~ p7(X0,c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p7_20) ).
fof(f68,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(X1,X0) ),
inference(resolution,[],[f14,f1]) ).
fof(f86,plain,
p2(c18,f4(c16,c14)),
inference(resolution,[],[f68,f8]) ).
fof(f87,plain,
p2(c17,f4(c15,c14)),
inference(resolution,[],[f68,f9]) ).
fof(f90,plain,
p2(c17,f5(f6(c9),c19)),
inference(resolution,[],[f68,f11]) ).
fof(f91,plain,
p2(c18,f5(f6(c9),c20)),
inference(resolution,[],[f68,f12]) ).
fof(f97,plain,
! [X0] :
( p2(X0,f4(c16,c14))
| ~ p2(c18,X0) ),
inference(resolution,[],[f86,f14]) ).
fof(f99,plain,
! [X0] :
( p2(X0,f4(c15,c14))
| ~ p2(c17,X0) ),
inference(resolution,[],[f87,f14]) ).
fof(f262,plain,
! [X0] :
( p2(f4(c16,c14),X0)
| ~ p2(c18,X0) ),
inference(resolution,[],[f97,f68]) ).
fof(f300,plain,
! [X0] :
( p2(f4(c15,c14),X0)
| ~ p2(c17,X0) ),
inference(resolution,[],[f99,f68]) ).
fof(f359,plain,
! [X0,X1] :
( ~ p2(c18,f5(f6(X0),c20))
| ~ p2(c15,X1)
| ~ p2(c16,c16)
| ~ p2(f4(X1,c14),f5(f6(X0),c19))
| ~ p7(X0,c10) ),
inference(resolution,[],[f262,f20]) ).
fof(f383,plain,
! [X0,X1] :
( ~ p2(f4(X1,c14),f5(f6(X0),c19))
| ~ p2(c15,X1)
| ~ p2(c18,f5(f6(X0),c20))
| ~ p7(X0,c10) ),
inference(forward_subsumption_resolution,[],[f359,f1]) ).
fof(f388,plain,
! [X0] :
( ~ p2(c15,c15)
| ~ p2(c18,f5(f6(X0),c20))
| ~ p7(X0,c10)
| ~ p2(c17,f5(f6(X0),c19)) ),
inference(resolution,[],[f383,f300]) ).
fof(f389,plain,
! [X0] :
( ~ p2(c17,f5(f6(X0),c19))
| ~ p7(X0,c10)
| ~ p2(c18,f5(f6(X0),c20)) ),
inference(forward_subsumption_resolution,[],[f388,f1]) ).
fof(f395,plain,
( ~ p7(c9,c10)
| ~ p2(c18,f5(f6(c9),c20)) ),
inference(resolution,[],[f389,f90]) ).
fof(f396,plain,
~ p2(c18,f5(f6(c9),c20)),
inference(forward_subsumption_resolution,[],[f395,f5]) ).
fof(f397,plain,
$false,
inference(forward_subsumption_resolution,[],[f396,f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN577-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n019.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 16:30:33 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.07/0.26 % (4141624)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (4141635)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3664434254:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26 % (4141630)% WARNING: option uhcvi not known.
% 0.07/0.26 % (4141631)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2790062998:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.26 % (4141629)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=540961716_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26 % (4141632)dis+10_1_sil=32000:sp=arity:random_seed=595957652:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (4141633)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2951786139:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26 % (4141634)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2940126549:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.26 % (4141630)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1645942629:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26 % TRYING [1]
% 0.07/0.26 % TRYING [2]
% 0.07/0.26 % (4141631) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4141624-4141631"...
% 0.07/0.26 % (4141634) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4141624-4141634"...
% 0.07/0.26 % (4141631)...printing done.
% 0.07/0.26 % (4141634)...printing done.
% 0.07/0.26 % TRYING [3]
% 0.07/0.26 % (4141631)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (4141631)------------------------------
% 0.07/0.26 % (4141631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (4141631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (4141631)CaDiCaL version: 2.1.3
% 0.07/0.26 % (4141631)Termination reason: Refutation
% 0.07/0.26 % (4141631)Time elapsed: 0.007 s
% 0.07/0.26 % (4141631)Peak memory usage: 11 MB
% 0.07/0.26 % (4141631)Instructions burned: 7 (million)
% 0.07/0.26 % (4141624)Success in time 0.042 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------