%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN636-1 : 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 : n018.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 02:17:46 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 9 unt; 1 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 13 ~; 23 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
~ p3(c23,f8(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] : p3(f4(f6(X0,f7(X1,X2))),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X0)
| p3(X0,X1)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
fof(f25,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_25) ).
fof(f27,negated_conjecture,
! [X0] :
( ~ p22(X0,f15(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_27) ).
fof(f34,negated_conjecture,
! [X2,X0,X1] :
( p22(f20(X0,X1,X2),f15(X0))
| p3(f4(X0),f8(c24))
| p10(f11(X0,c27,X1),f11(X0,c27,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_34) ).
fof(f37,negated_conjecture,
! [X2,X0,X1] :
( ~ p21(f12(f13(X1,X2)),f12(f13(X1,f20(X0,X1,X2))))
| p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p3(f4(X0),f8(c24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_37) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( ~ p3(f4(f6(X2,f7(X0,X3))),X1)
| p3(X0,X1) ),
inference(resolution,[],[f17,f8]) ).
fof(f117,definition,
( spl0_2
<=> p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f118,plain,
( ~ p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| spl0_2 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f121,plain,
( p3(c23,f8(c24))
| ~ spl0_2 ),
inference(resolution,[],[f119,f51]) ).
fof(f128,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f121,f7]) ).
fof(f129,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,X0),f11(f6(c25,f7(c23,c26)),c27,X1))
| p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),X0,X1)))) ),
inference(resolution,[],[f34,f27]) ).
fof(f132,plain,
( ! [X0,X1] :
( p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),X0,X1))))
| p10(f11(f6(c25,f7(c23,c26)),c27,X0),f11(f6(c25,f7(c23,c26)),c27,X1)) )
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f130,f118]) ).
fof(f247,plain,
( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| spl0_2 ),
inference(resolution,[],[f132,f37]) ).
fof(f249,plain,
( p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| spl0_2 ),
inference(duplicate_literal_removal,[],[f247]) ).
fof(f250,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f249,f25]) ).
fof(f251,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f250,f118]) ).
fof(f252,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f251]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f129]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f252]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s2,s3]) ).
fof(f253,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN636-1 : 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 : n018.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 16:41:21 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.26 % (3530029)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (3530034)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3988672899_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % (3530037)dis+10_1_sil=32000:sp=arity:random_seed=2635779419:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (3530036)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=459824371:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (3530038)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2487200986:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (3530039)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=704109614:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % (3530040)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1379303535:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % (3530035)% WARNING: option uhcvi not known.
% 0.09/0.26 % (3530035)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2609971012:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % TRYING [1]
% 0.09/0.26 % TRYING [2]
% 0.09/0.26 % (3530039) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3530029-3530039"...
% 0.09/0.26 % (3530039)...printing done.
% 0.09/0.26 % (3530037) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3530029-3530037"...
% 0.09/0.26 % (3530035) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3530029-3530035"...
% 0.09/0.26 % (3530039)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (3530039)------------------------------
% 0.09/0.26 % (3530039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (3530039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (3530039)CaDiCaL version: 2.1.3
% 0.09/0.26 % (3530039)Termination reason: Refutation
% 0.09/0.26 % (3530039)Time elapsed: 0.007 s
% 0.09/0.26 % (3530039)Peak memory usage: 12 MB
% 0.09/0.26 % (3530039)Instructions burned: 9 (million)
% 0.09/0.26 % (3530029)Success in time 0.045 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------