%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC373+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 : n002.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 01:05:46 PM UTC 2026
% Result : Theorem 0.89s 0.45s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 17 unt; 1 def)
% Number of atoms : 153 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 173 ( 72 ~; 65 |; 16 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 47 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ rearsegP(X3,X2)
| segmentP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ rearsegP(X3,X2)
| segmentP(X1,X0) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X2,X1) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f172,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f173]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& rearsegP(X3,X2)
& ~ segmentP(X1,X0)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& rearsegP(X3,X2)
& ~ segmentP(X1,X0)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f238,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| app(sK6(X0,X1),X1) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f239,plain,
! [X0,X1] :
( ssList(sK6(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f357,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f358,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| segmentP(app(app(X2,X0),X3),X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f397,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f411,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
~ segmentP(sK48,sK47),
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
rearsegP(sK50,sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
~ segmentP(sK50,sK49),
inference(definition_unfolding,[],[f412,f415,f414]) ).
fof(f528,plain,
( ~ ssList(sK49)
| sK50 = app(sK6(sK50,sK49),sK49)
| ~ ssList(sK50) ),
inference(resolution,[],[f238,f413]) ).
fof(f533,plain,
( sK50 = app(sK6(sK50,sK49),sK49)
| ~ ssList(sK50) ),
inference(forward_subsumption_resolution,[],[f528,f416]) ).
fof(f536,plain,
sK50 = app(sK6(sK50,sK49),sK49),
inference(forward_subsumption_resolution,[],[f533,f411]) ).
fof(f588,definition,
( spl51_14
<=> ssList(sK6(sK50,sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_14])],[avatar_definition]) ).
fof(f589,plain,
( ssList(sK6(sK50,sK49))
| ~ spl51_14 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f590,plain,
( ~ ssList(sK6(sK50,sK49))
| spl51_14 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f595,plain,
( ~ ssList(sK49)
| ~ ssList(sK50)
| ~ rearsegP(sK50,sK49)
| spl51_14 ),
inference(resolution,[],[f590,f239]) ).
fof(f596,plain,
( ~ ssList(sK50)
| ~ rearsegP(sK50,sK49)
| spl51_14 ),
inference(forward_subsumption_resolution,[],[f595,f416]) ).
fof(f597,plain,
( ~ rearsegP(sK50,sK49)
| spl51_14 ),
inference(forward_subsumption_resolution,[],[f596,f411]) ).
fof(f598,plain,
( $false
| spl51_14 ),
inference(forward_subsumption_resolution,[],[f597,f413]) ).
fof(f599,plain,
spl51_14,
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f1082,plain,
sK50 = app(sK50,nil),
inference(resolution,[],[f397,f411]) ).
fof(f1165,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| segmentP(app(app(X1,X0),X2),X0)
| ~ ssList(X0) ),
inference(resolution,[],[f358,f357]) ).
fof(f1170,plain,
! [X2,X0,X1] :
( segmentP(app(app(X1,X0),X2),X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f1165]) ).
fof(f2607,plain,
! [X0] :
( segmentP(app(sK50,X0),sK49)
| ~ ssList(sK6(sK50,sK49))
| ~ ssList(X0)
| ~ ssList(sK49) ),
inference(superposition,[],[f1170,f536]) ).
fof(f2623,plain,
( ! [X0] :
( segmentP(app(sK50,X0),sK49)
| ~ ssList(X0)
| ~ ssList(sK49) )
| ~ spl51_14 ),
inference(forward_subsumption_resolution,[],[f2607,f589]) ).
fof(f2644,plain,
( ! [X0] :
( segmentP(app(sK50,X0),sK49)
| ~ ssList(X0) )
| ~ spl51_14 ),
inference(forward_subsumption_resolution,[],[f2623,f416]) ).
fof(f3326,plain,
( segmentP(sK50,sK49)
| ~ ssList(nil)
| ~ spl51_14 ),
inference(superposition,[],[f2644,f1082]) ).
fof(f3327,plain,
( ~ ssList(nil)
| ~ spl51_14 ),
inference(forward_subsumption_resolution,[],[f3326,f421]) ).
fof(f3332,plain,
( $false
| ~ spl51_14 ),
inference(forward_subsumption_resolution,[],[f3327,f306]) ).
fof(f3333,plain,
~ spl51_14,
inference(avatar_contradiction_clause,[],[f3332]) ).
cnf(s12,plain,
spl51_14,
inference(sat_conversion,[],[f599]) ).
cnf(s115,plain,
~ spl51_14,
inference(sat_conversion,[],[f3333]) ).
cnf(s128,plain,
$false,
inference(rat,[],[s12,s115]) ).
fof(f3334,plain,
$false,
inference(avatar_sat_refutation,[],[s128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC373+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n002.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 09:23:07 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.89/0.45 % (229435)Will run a generic schedule for satisfiability detection.
% 0.89/0.45 % (229451)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4010403956:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.89/0.45 % (229446)% WARNING: option uhcvi not known.
% 0.89/0.45 % (229448)dis+10_1_sil=32000:sp=arity:random_seed=1726525717:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.89/0.45 % (229449)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2932919682:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.89/0.45 % (229445)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2935441382_2999 on theBenchmark for (2999ds/0Mi)
% 0.89/0.45 % (229446)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=743132016:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.89/0.45 % (229447)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2681998446:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.89/0.45 % (229450)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1328787871:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.89/0.45 % TRYING [1]
% 0.89/0.45 % TRYING [2]
% 0.89/0.45 % TRYING [3]
% 0.89/0.45 % TRYING [4]
% 0.89/0.45 % (229451)Instruction limit reached!
% 0.89/0.45 % (229451)------------------------------
% 0.89/0.45 % (229451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.45 % (229451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.45 % (229451)CaDiCaL version: 2.1.3
% 0.89/0.45 % (229451)Termination reason: Instruction limit
% 0.89/0.45 % (229451)Termination phase: Saturation
% 0.89/0.45 % (229451)Time elapsed: 0.058 s
% 0.89/0.45 % (229451)Peak memory usage: 15 MB
% 0.89/0.45 % (229451)Instructions burned: 161 (million)
% 0.89/0.45 % (229448)Instruction limit reached!
% 0.89/0.45 % (229448)------------------------------
% 0.89/0.45 % (229448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.45 % (229448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.45 % (229448)CaDiCaL version: 2.1.3
% 0.89/0.45 % (229448)Termination reason: Instruction limit
% 0.89/0.45 % (229448)Termination phase: Saturation
% 0.89/0.45 % (229448)Time elapsed: 0.063 s
% 0.89/0.45 % (229448)Peak memory usage: 13 MB
% 0.89/0.45 % (229448)Instructions burned: 104 (million)
% 0.89/0.45 % (229487)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1211482799:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.89/0.45 % TRYING [1]
% 0.89/0.45 % (229449)Instruction limit reached!
% 0.89/0.45 % (229449)------------------------------
% 0.89/0.45 % (229449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.45 % (229449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.45 % (229449)CaDiCaL version: 2.1.3
% 0.89/0.45 % (229449)Termination reason: Instruction limit
% 0.89/0.45 % (229449)Termination phase: Saturation
% 0.89/0.45 % (229449)Time elapsed: 0.070 s
% 0.89/0.45 % (229449)Peak memory usage: 13 MB
% 0.89/0.45 % (229449)Instructions burned: 117 (million)
% 0.89/0.45 % TRYING [2]
% 0.89/0.45 % TRYING [3]
% 0.89/0.45 % (229450)Instruction limit reached!
% 0.89/0.45 % (229450)------------------------------
% 0.89/0.45 % (229450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.45 % (229450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.45 % (229450)CaDiCaL version: 2.1.3
% 0.89/0.45 % (229450)Termination reason: Instruction limit
% 0.89/0.45 % (229450)Termination phase: Saturation
% 0.89/0.45 % (229450)Time elapsed: 0.076 s
% 0.89/0.45 % (229450)Peak memory usage: 14 MB
% 0.89/0.45 % (229450)Instructions burned: 132 (million)
% 0.89/0.45 % TRYING [4]
% 0.89/0.45 % (229498)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4035320135:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.89/0.45 % TRYING [5]
% 0.89/0.45 % (229502)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1204304315:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.89/0.45 % (229503)ott-21_1_sil=16000:fs=off:random_seed=2684116947:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.89/0.45 % TRYING [5]
% 0.89/0.45 % (229498)Instruction limit reached!
% 0.89/0.45 % (229498)------------------------------
% 0.89/0.45 % (229498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.45 % (229498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.45 % (229498)CaDiCaL version: 2.1.3
% 0.89/0.45 % (229498)Termination reason: Instruction limit
% 0.89/0.45 % (229498)Termination phase: Saturation
% 0.89/0.45 % (229498)Time elapsed: 0.074 s
% 0.89/0.45 % (229498)Peak memory usage: 13 MB
% 0.89/0.45 % (229498)Instructions burned: 132 (million)
% 0.89/0.45 % (229502) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-229435-229502"...
% 0.89/0.45 % (229502)...printing done.
% 0.89/0.45 % (229502)Refutation found. Thanks to Tanya!
% 0.89/0.45 % SZS status Theorem for theBenchmark
% 0.89/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.89/0.45 % (229502)------------------------------
% 0.89/0.45 % (229502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.45 % (229502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.45 % (229502)CaDiCaL version: 2.1.3
% 0.89/0.45 % (229502)Termination reason: Refutation
% 0.89/0.45 % (229502)Time elapsed: 0.077 s
% 0.89/0.45 % (229502)Peak memory usage: 15 MB
% 0.89/0.45 % (229502)Instructions burned: 102 (million)
% 0.89/0.45 % (229435)Success in time 0.21 s
% 0.89/0.45 % Vampire exiting
%------------------------------------------------------------------------------