%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC364-1 : 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 01:05:43 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.34s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 68 ( 22 unt; 6 def)
% Number of atoms : 158 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 150 ( 60 ~; 84 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f212,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,negated_conjecture,
( app(cons(sk5,nil),sk3) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( sk4 = app(cons(sk5,nil),sk3)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,plain,
ssList(sk3),
inference(definition_unfolding,[],[f200,f205]) ).
fof(f217,plain,
ssList(sk4),
inference(definition_unfolding,[],[f201,f204]) ).
fof(f218,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f223,plain,
( ~ segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f215,f204,f205]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f250,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f289,plain,
! [X0] :
( ssList(X0)
| app(X0,nil) = X0 ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f302,plain,
! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ssList(X1)
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f379,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ssList(X0)
| ssList(X1)
| ssList(app(app(X0,X1),X2))
| ssList(X2) ),
inference(consistent_polarity_flipping,[],[f238]) ).
fof(f392,plain,
~ ssList(sk3),
inference(consistent_polarity_flipping,[],[f216]) ).
fof(f393,plain,
~ ssList(sk4),
inference(consistent_polarity_flipping,[],[f217]) ).
fof(f396,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f404,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f408,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f410,plain,
( ~ segmentP(sk4,sk3)
| spl0_2 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f223,f408,f404]) ).
fof(f413,definition,
( spl0_3
<=> sk4 = app(cons(sk5,nil),sk3) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f415,plain,
( sk4 = app(cons(sk5,nil),sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f416,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f214,f413,f404]) ).
fof(f418,definition,
( spl0_4
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f420,plain,
( ssItem(sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f212,f418,f404]) ).
fof(f425,plain,
spl0_1,
inference(avatar_split_clause,[],[f396,f404]) ).
fof(f431,definition,
( spl0_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f432,plain,
( ~ ssList(nil)
| spl0_6 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f467,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f250,f431]) ).
fof(f497,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f289,f393]) ).
fof(f827,definition,
( spl0_21
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f828,plain,
( ~ ssList(cons(sk5,nil))
| spl0_21 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f829,plain,
( ssList(cons(sk5,nil))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f1048,plain,
( ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_21 ),
inference(resolution,[],[f829,f302]) ).
fof(f1049,plain,
( ~ ssItem(sk5)
| spl0_6
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1048,f432]) ).
fof(f1050,plain,
( $false
| ~ spl0_4
| spl0_6
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1049,f420]) ).
fof(f1051,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1050]) ).
fof(f1920,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ssList(cons(sk5,nil))
| ssList(sk3)
| ssList(app(sk4,X0))
| ssList(X0) )
| ~ spl0_3 ),
inference(superposition,[],[f379,f415]) ).
fof(f1928,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ssList(sk3)
| ssList(app(sk4,X0))
| ssList(X0) )
| ~ spl0_3
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f1920,f828]) ).
fof(f1931,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ssList(app(sk4,X0))
| ssList(X0) )
| ~ spl0_3
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f1928,f392]) ).
fof(f3685,plain,
( segmentP(sk4,sk3)
| ssList(sk4)
| ssList(nil)
| ~ spl0_3
| spl0_21 ),
inference(superposition,[],[f1931,f497]) ).
fof(f3690,plain,
( ssList(sk4)
| ssList(nil)
| spl0_2
| ~ spl0_3
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f3685,f410]) ).
fof(f3695,plain,
( ssList(nil)
| spl0_2
| ~ spl0_3
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f3690,f393]) ).
fof(f3696,plain,
( $false
| spl0_2
| ~ spl0_3
| spl0_6
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f3695,f432]) ).
fof(f3697,plain,
( spl0_2
| ~ spl0_3
| spl0_6
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f3696]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f411]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f416]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f421]) ).
cnf(s7,plain,
spl0_1,
inference(sat_conversion,[],[f425]) ).
cnf(s17,plain,
~ spl0_6,
inference(sat_conversion,[],[f467]) ).
cnf(s28,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_21 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s145,plain,
( spl0_2
| ~ spl0_3
| spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f3697]) ).
cnf(s168,plain,
spl0_4,
inference(rat,[],[s3,s7]) ).
cnf(s172,plain,
~ spl0_21,
inference(rat,[],[s28,s17,s168]) ).
cnf(s176,plain,
spl0_3,
inference(rat,[],[s2,s7]) ).
cnf(s177,plain,
spl0_2,
inference(rat,[],[s145,s172,s17,s176]) ).
cnf(s181,plain,
$false,
inference(rat,[],[s1,s177,s7]) ).
fof(f3698,plain,
$false,
inference(avatar_sat_refutation,[],[s181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC364-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n016.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 09:22:48 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.18/0.34 % (3502437)Will run a generic schedule for satisfiability detection.
% 0.18/0.34 % (3502448)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4226281584:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.34 % (3502443)% WARNING: option uhcvi not known.
% 0.18/0.34 % (3502444)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1845820109:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.34 % (3502442)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2838064583_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.34 % (3502443)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4191217204:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.34 % (3502445)dis+10_1_sil=32000:sp=arity:random_seed=877950483:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.34 % (3502446)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=652221252:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.34 % (3502447)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3471286326:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.34 % TRYING [1]
% 0.18/0.34 % TRYING [2]
% 0.18/0.34 % TRYING [3]
% 0.18/0.34 % TRYING [4]
% 0.18/0.34 % (3502448)Instruction limit reached!
% 0.18/0.34 % (3502448)------------------------------
% 0.18/0.34 % (3502448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (3502448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (3502448)CaDiCaL version: 2.1.3
% 0.18/0.34 % (3502448)Termination reason: Instruction limit
% 0.18/0.34 % (3502448)Termination phase: Saturation
% 0.18/0.34 % (3502448)Time elapsed: 0.049 s
% 0.18/0.34 % (3502448)Peak memory usage: 14 MB
% 0.18/0.34 % (3502448)Instructions burned: 160 (million)
% 0.18/0.34 % (3502456)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2772668473:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.34 % TRYING [1]
% 0.18/0.34 % (3502445)Instruction limit reached!
% 0.18/0.34 % (3502445)------------------------------
% 0.18/0.34 % (3502445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (3502445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (3502445)CaDiCaL version: 2.1.3
% 0.18/0.34 % (3502445)Termination reason: Instruction limit
% 0.18/0.34 % (3502445)Termination phase: Saturation
% 0.18/0.34 % (3502445)Time elapsed: 0.059 s
% 0.18/0.34 % (3502445)Peak memory usage: 13 MB
% 0.18/0.34 % (3502445)Instructions burned: 103 (million)
% 0.18/0.34 % TRYING [2]
% 0.18/0.34 % (3502446)Instruction limit reached!
% 0.18/0.34 % (3502446)------------------------------
% 0.18/0.34 % (3502446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (3502446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (3502446)CaDiCaL version: 2.1.3
% 0.18/0.34 % (3502446)Termination reason: Instruction limit
% 0.18/0.34 % (3502446)Termination phase: Saturation
% 0.18/0.34 % (3502446)Time elapsed: 0.060 s
% 0.18/0.34 % (3502446)Peak memory usage: 13 MB
% 0.18/0.34 % (3502446)Instructions burned: 117 (million)
% 0.18/0.34 % TRYING [3]
% 0.18/0.34 % (3502447)Instruction limit reached!
% 0.18/0.34 % (3502447)------------------------------
% 0.18/0.34 % (3502447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (3502447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (3502447)CaDiCaL version: 2.1.3
% 0.18/0.34 % (3502447)Termination reason: Instruction limit
% 0.18/0.34 % (3502447)Termination phase: Saturation
% 0.18/0.34 % (3502447)Time elapsed: 0.064 s
% 0.18/0.34 % (3502447)Peak memory usage: 14 MB
% 0.18/0.34 % (3502447)Instructions burned: 133 (million)
% 0.18/0.34 % (3502443) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3502437-3502443"...
% 0.18/0.34 % TRYING [4]
% 0.18/0.34 % (3502443)...printing done.
% 0.18/0.34 % (3502443)Refutation found. Thanks to Tanya!
% 0.18/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.34 % (3502443)------------------------------
% 0.18/0.34 % (3502443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (3502443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (3502443)CaDiCaL version: 2.1.3
% 0.18/0.34 % (3502443)Termination reason: Refutation
% 0.18/0.34 % (3502443)Time elapsed: 0.073 s
% 0.18/0.34 % (3502443)Peak memory usage: 14 MB
% 0.18/0.34 % (3502443)Instructions burned: 119 (million)
% 0.18/0.34 % (3502437)Success in time 0.111 s
% 0.18/0.34 % Vampire exiting
%------------------------------------------------------------------------------