%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC348-1 : 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 : n016.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 01:05:39 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.26s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 60 ( 19 unt; 6 def)
% Number of atoms : 139 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 144 ( 65 ~; 73 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause3) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause66) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).
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(f103,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).
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,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ strictorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f211,plain,
( ~ segmentP(sk4,sk3)
| ~ strictorderedP(sk3) ),
inference(definition_unfolding,[],[f208,f204,f205,f205]) ).
fof(f241,definition,
( spl0_1
<=> strictorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f243,plain,
( ~ strictorderedP(sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f245,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f246,plain,
( segmentP(sk4,sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f211,f245,f241]) ).
fof(f250,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f252,plain,
( ~ neq(sk4,nil)
| spl0_3 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f254,definition,
( spl0_4
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f256,plain,
( singletonP(sk3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f257,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f207,f254,f250]) ).
fof(f258,plain,
spl0_2,
inference(avatar_split_clause,[],[f206,f245]) ).
fof(f264,definition,
( spl0_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f265,plain,
( ssList(nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f273,definition,
( spl0_8
<=> ! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f274,plain,
( ! [X1] :
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f299,plain,
spl0_8,
inference(avatar_split_clause,[],[f66,f273]) ).
fof(f300,plain,
spl0_6,
inference(avatar_split_clause,[],[f8,f264]) ).
fof(f504,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_3 ),
inference(resolution,[],[f102,f252]) ).
fof(f505,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f504,f203]) ).
fof(f506,plain,
( nil = sk4
| spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f505,f265]) ).
fof(f510,plain,
( segmentP(nil,sk3)
| ~ spl0_2
| spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f246,f506]) ).
fof(f517,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_2
| spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f510,f80]) ).
fof(f518,plain,
( nil = sk3
| ~ spl0_2
| spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f517,f202]) ).
fof(f520,plain,
( ~ strictorderedP(nil)
| spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f243,f518]) ).
fof(f527,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f520,f3]) ).
fof(f528,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f529,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl0_4 ),
inference(resolution,[],[f256,f103]) ).
fof(f530,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f529,f202]) ).
fof(f537,plain,
( strictorderedP(sk3)
| ~ ssItem(skaf44(sk3))
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f274,f530]) ).
fof(f541,plain,
( ~ ssItem(skaf44(sk3))
| spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f537,f243]) ).
fof(f549,plain,
( $false
| spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f541,f47]) ).
fof(f550,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f549]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f248]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f257]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f258]) ).
cnf(s12,plain,
spl0_8,
inference(sat_conversion,[],[f299]) ).
cnf(s13,plain,
spl0_6,
inference(sat_conversion,[],[f300]) ).
cnf(s14,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f528]) ).
cnf(s15,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(sat_conversion,[],[f550]) ).
cnf(s20,plain,
~ spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s21,plain,
~ spl0_4,
inference(rat,[],[s15,s12,s20]) ).
cnf(s22,plain,
spl0_3,
inference(rat,[],[s14,s13,s3,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s2,s21,s22]) ).
fof(f551,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC348-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.18 % Computer : n016.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 09:17:18 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 Running first-order model finding
% 0.11/0.21 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
% 0.11/0.26 % (3500275)Will run a generic schedule for satisfiability detection.
% 0.11/0.26 % (3500284)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2178959038:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.26 % (3500281)% WARNING: option uhcvi not known.
% 0.11/0.26 % (3500284) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3500275-3500284"...
% 0.11/0.26 % (3500282)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4170261256:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.26 % (3500280)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1683809612_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.26 % (3500283)dis+10_1_sil=32000:sp=arity:random_seed=1012955078:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.26 % (3500285)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1646146064:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.26 % (3500284)...printing done.
% 0.11/0.26 % (3500286)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3561320172:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.26 % (3500281)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4285268758:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.26 % (3500284)Refutation found. Thanks to Tanya!
% 0.11/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.26 % (3500284)------------------------------
% 0.11/0.26 % (3500284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.26 % (3500284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.26 % (3500284)CaDiCaL version: 2.1.3
% 0.11/0.26 % (3500284)Termination reason: Refutation
% 0.11/0.26 % (3500284)Time elapsed: 0.007 s
% 0.11/0.26 % (3500284)Peak memory usage: 13 MB
% 0.11/0.26 % (3500284)Instructions burned: 22 (million)
% 0.11/0.26 % (3500275)Success in time 0.042 s
% 0.11/0.26 % Vampire exiting
%------------------------------------------------------------------------------