%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC101-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 01:04:40 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 60 ( 22 unt; 8 def)
% Number of atoms : 121 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 114 ( 53 ~; 53 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f212,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
( ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f217,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f213,f204,f205]) ).
fof(f218,plain,
( ~ neq(sk3,nil)
| ~ frontsegP(sk4,sk3) ),
inference(definition_unfolding,[],[f214,f205,f204,f205]) ).
fof(f230,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f367,definition,
( spl0_1
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f371,definition,
( spl0_2
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f373,plain,
( ~ neq(sk3,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f218,f371,f367]) ).
fof(f376,definition,
( spl0_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f380,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f383,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f217,f380,f376]) ).
fof(f384,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f212,f380,f376]) ).
fof(f390,definition,
( spl0_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f426,plain,
spl0_6,
inference(avatar_split_clause,[],[f8,f390]) ).
fof(f605,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl0_2 ),
inference(resolution,[],[f102,f373]) ).
fof(f609,definition,
( spl0_14
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f611,plain,
( ~ ssList(sk3)
| spl0_14 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f612,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_14
| spl0_2 ),
inference(avatar_split_clause,[],[f605,f371,f609,f390,f376]) ).
fof(f613,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f611,f202]) ).
fof(f614,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f845,definition,
( spl0_21
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f847,plain,
( ~ ssList(sk5)
| spl0_21 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f849,plain,
( $false
| spl0_21 ),
inference(resolution,[],[f847,f206]) ).
fof(f850,plain,
spl0_21,
inference(avatar_contradiction_clause,[],[f849]) ).
fof(f2072,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk5) ),
inference(superposition,[],[f230,f208]) ).
fof(f2142,definition,
( spl0_43
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f2144,plain,
( ~ ssList(sk4)
| spl0_43 ),
inference(avatar_component_clause,[],[f2142]) ).
fof(f2145,plain,
( ~ spl0_21
| ~ spl0_43
| ~ spl0_14
| spl0_1 ),
inference(avatar_split_clause,[],[f2072,f367,f609,f2142,f845]) ).
fof(f2146,plain,
( $false
| spl0_43 ),
inference(resolution,[],[f2144,f203]) ).
fof(f2147,plain,
spl0_43,
inference(avatar_contradiction_clause,[],[f2146]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f374]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f383]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f384]) ).
cnf(s13,plain,
spl0_6,
inference(sat_conversion,[],[f426]) ).
cnf(s14,plain,
( spl0_2
| spl0_3
| ~ spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f612]) ).
cnf(s15,plain,
spl0_14,
inference(sat_conversion,[],[f614]) ).
cnf(s22,plain,
spl0_21,
inference(sat_conversion,[],[f850]) ).
cnf(s50,plain,
( spl0_1
| ~ spl0_14
| ~ spl0_21
| ~ spl0_43 ),
inference(sat_conversion,[],[f2145]) ).
cnf(s51,plain,
spl0_43,
inference(sat_conversion,[],[f2147]) ).
cnf(s52,plain,
( spl0_1
| ~ spl0_14
| ~ spl0_21 ),
inference(rat,[],[s50,s51]) ).
cnf(s54,plain,
spl0_1,
inference(rat,[],[s52,s22,s15]) ).
cnf(s55,plain,
( spl0_2
| spl0_3
| ~ spl0_6 ),
inference(rat,[],[s14,s15]) ).
cnf(s61,plain,
~ spl0_2,
inference(rat,[],[s1,s54]) ).
cnf(s62,plain,
spl0_3,
inference(rat,[],[s55,s13,s61]) ).
cnf(s63,plain,
spl0_4,
inference(rat,[],[s3,s62]) ).
cnf(s64,plain,
$false,
inference(rat,[],[s2,s63,s62]) ).
fof(f2148,plain,
$false,
inference(avatar_sat_refutation,[],[s64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC101-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 07:55:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.20/0.47 % (2458813)Will run a generic schedule for satisfiability detection.
% 0.20/0.47 % (2458824)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1055808040:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.47 % (2458820)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=926459828:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.47 % (2458818)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3468934005_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.47 % (2458821)dis+10_1_sil=32000:sp=arity:random_seed=3793906087:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.47 % (2458822)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=871146626:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.47 % (2458823)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3567065818:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.47 % (2458819)% WARNING: option uhcvi not known.
% 0.20/0.47 % (2458819)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2030549536:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.47 % TRYING [1]
% 0.20/0.47 % TRYING [2]
% 0.20/0.47 % TRYING [3]
% 0.20/0.47 % (2458824) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2458813-2458824"...
% 0.20/0.47 % (2458824)...printing done.
% 0.20/0.47 % (2458821) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2458813-2458821"...
% 0.20/0.47 % (2458824)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (2458824)------------------------------
% 0.20/0.47 % (2458824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.47 % (2458824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.47 % (2458824)CaDiCaL version: 2.1.3
% 0.20/0.47 % (2458824)Termination reason: Refutation
% 0.20/0.47 % (2458824)Time elapsed: 0.027 s
% 0.20/0.47 % (2458824)Peak memory usage: 13 MB
% 0.20/0.47 % (2458824)Instructions burned: 84 (million)
% 0.20/0.47 % (2458813)Success in time 0.061 s
% 0.20/0.47 % Vampire exiting
%------------------------------------------------------------------------------