%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN623-1 : 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 : n017.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 02:17:45 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 19 unt; 2 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 107 ( 51 ~; 54 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p8(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_2) ).
fof(f5,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
fof(f6,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
fof(f10,negated_conjecture,
p18(c26,c25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_10) ).
fof(f11,negated_conjecture,
p3(c22,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_11) ).
fof(f12,negated_conjecture,
p2(c24,c25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
fof(f13,negated_conjecture,
~ p16(c22,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p16_13) ).
fof(f14,negated_conjecture,
p3(c23,f4(c24,c20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_14) ).
fof(f15,negated_conjecture,
p16(f4(c19,c20),c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_15) ).
fof(f20,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X0)
| p3(X0,X1)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_20) ).
fof(f25,negated_conjecture,
! [X0,X1] :
( ~ p16(f4(f6(c27,c25),X0),X1)
| p16(f4(c25,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_25) ).
fof(f26,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p16(X2,X3)
| ~ p3(X2,X0)
| ~ p8(X3,X1)
| p16(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_26) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p2(X0,X2)
| p3(f4(X0,X1),f4(X2,X3))
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_32) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p16(f4(c19,X1),X2)
| ~ p2(X0,X3)
| ~ p18(c26,X3)
| p16(f4(X0,X1),X2)
| ~ p16(f4(X3,f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_34) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p16(f4(c19,X1),X2)
| p16(f4(f6(c27,X3),f13(f15(c28,X0),X3)),f9(f11(c29,X0),X3))
| ~ p2(X0,X3)
| ~ p18(c26,X3)
| p16(f4(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_35) ).
fof(f41,plain,
! [X0] :
( ~ p3(c22,X0)
| p3(c23,X0) ),
inference(resolution,[],[f20,f11]) ).
fof(f42,plain,
! [X0] :
( ~ p3(c23,X0)
| p3(f4(c24,c20),X0) ),
inference(resolution,[],[f20,f14]) ).
fof(f44,plain,
p3(c23,c22),
inference(resolution,[],[f41,f5]) ).
fof(f65,plain,
p3(f4(c24,c20),c23),
inference(resolution,[],[f42,f5]) ).
fof(f69,plain,
! [X0] :
( ~ p3(f4(c24,c20),X0)
| p3(c23,X0) ),
inference(resolution,[],[f65,f20]) ).
fof(f83,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(f4(c24,X0),f4(c25,X1)) ),
inference(resolution,[],[f32,f12]) ).
fof(f92,plain,
! [X0,X1] :
( ~ p16(f4(X1,f13(f15(c28,X0),X1)),f9(f11(c29,X0),X1))
| ~ p18(c26,X1)
| p16(f4(X0,c20),c21)
| ~ p2(X0,X1) ),
inference(resolution,[],[f34,f15]) ).
fof(f95,plain,
! [X0,X1] :
( ~ p18(c26,X0)
| ~ p2(X1,X0)
| p16(f4(f6(c27,X0),f13(f15(c28,X1),X0)),f9(f11(c29,X1),X0))
| p16(f4(X1,c20),c21) ),
inference(resolution,[],[f35,f15]) ).
fof(f131,plain,
! [X0] : p3(f4(c24,X0),f4(c25,X0)),
inference(resolution,[],[f83,f5]) ).
fof(f141,plain,
p3(c23,f4(c25,c20)),
inference(resolution,[],[f131,f69]) ).
fof(f150,plain,
! [X0] :
( ~ p3(c23,X0)
| p3(f4(c25,c20),X0) ),
inference(resolution,[],[f141,f20]) ).
fof(f164,plain,
! [X0] :
( ~ p2(X0,c25)
| p16(f4(f6(c27,c25),f13(f15(c28,X0),c25)),f9(f11(c29,X0),c25))
| p16(f4(X0,c20),c21) ),
inference(resolution,[],[f95,f10]) ).
fof(f184,plain,
( p16(f4(f6(c27,c25),f13(f15(c28,c25),c25)),f9(f11(c29,c25),c25))
| p16(f4(c25,c20),c21) ),
inference(resolution,[],[f164,f6]) ).
fof(f196,definition,
( spl0_3
<=> p16(f4(c25,c20),c21) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f197,plain,
( ~ p16(f4(c25,c20),c21)
| spl0_3 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f198,plain,
( p16(f4(c25,c20),c21)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f200,definition,
( spl0_4
<=> p16(f4(f6(c27,c25),f13(f15(c28,c25),c25)),f9(f11(c29,c25),c25)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f202,plain,
( p16(f4(f6(c27,c25),f13(f15(c28,c25),c25)),f9(f11(c29,c25),c25))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f184,f200,f196]) ).
fof(f204,plain,
( ! [X0,X1] :
( ~ p3(f4(c25,c20),X0)
| ~ p8(c21,X1)
| p16(X0,X1) )
| ~ spl0_3 ),
inference(resolution,[],[f198,f26]) ).
fof(f210,plain,
p3(f4(c25,c20),c22),
inference(resolution,[],[f150,f44]) ).
fof(f701,plain,
( ! [X0] :
( ~ p8(c21,X0)
| p16(c22,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f204,f210]) ).
fof(f708,plain,
( p16(c22,c21)
| ~ spl0_3 ),
inference(resolution,[],[f701,f2]) ).
fof(f709,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f708,f13]) ).
fof(f710,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f717,plain,
( p16(f4(c25,f13(f15(c28,c25),c25)),f9(f11(c29,c25),c25))
| ~ spl0_4 ),
inference(resolution,[],[f202,f25]) ).
fof(f978,plain,
( ~ p18(c26,c25)
| p16(f4(c25,c20),c21)
| ~ p2(c25,c25)
| ~ spl0_4 ),
inference(resolution,[],[f717,f92]) ).
fof(f980,plain,
( p16(f4(c25,c20),c21)
| ~ p2(c25,c25)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f978,f10]) ).
fof(f981,plain,
( ~ p2(c25,c25)
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f980,f197]) ).
fof(f982,plain,
( $false
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f981,f6]) ).
fof(f983,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f982]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f203]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f710]) ).
cnf(s5,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f983]) ).
cnf(s6,plain,
~ spl0_4,
inference(rat,[],[s5,s3]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s3]) ).
fof(f984,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:32:59 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.18/0.27 % (3687878)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (3687888)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1534419981:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.27 % (3687884)% WARNING: option uhcvi not known.
% 0.18/0.27 % (3687885)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1927659560:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.27 % (3687883)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3624558699_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.27 % (3687884)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2288363384:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.27 % (3687886)dis+10_1_sil=32000:sp=arity:random_seed=3949102999:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.27 % (3687887)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1417935456:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.27 % (3687889)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1736011711:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.27 % (3687888) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3687878-3687888"...
% 0.18/0.27 % (3687888)...printing done.
% 0.18/0.27 % TRYING [1]
% 0.18/0.27 % (3687888)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 % (3687888)------------------------------
% 0.18/0.27 % (3687888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (3687888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (3687888)CaDiCaL version: 2.1.3
% 0.18/0.27 % (3687888)Termination reason: Refutation
% 0.18/0.27 % (3687888)Time elapsed: 0.009 s
% 0.18/0.27 % (3687888)Peak memory usage: 12 MB
% 0.18/0.27 % (3687888)Instructions burned: 25 (million)
% 0.18/0.27 % (3687878)Success in time 0.035 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------