%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC404+1 : TPTP v9.3.1. Released v2.4.0.
% 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 01:05:54 PM UTC 2026
% Result : Theorem 2.07s 0.61s
% Output : Refutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 54 ( 24 unt; 1 def)
% Number of atoms : 232 ( 39 equ)
% Maximal formula atoms : 29 ( 4 avg)
% Number of connectives : 258 ( 80 ~; 100 |; 56 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 89 ( 0 sgn 59 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X4,X2),X5) != X3
| ~ strictorderedP(X2)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(cons(X8,nil),X9) = X2
& lt(X6,X8) ) ) ) )
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& app(cons(X10,nil),X11) = X5
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& lt(X12,X10) ) ) ) ) ) ) )
| ! [X14] :
( ssItem(X14)
=> ( ~ memberP(X0,X14)
| memberP(X1,X14) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X4,X2),X5) != X3
| ~ strictorderedP(X2)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(cons(X8,nil),X9) = X2
& lt(X6,X8) ) ) ) )
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& app(cons(X10,nil),X11) = X5
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& lt(X12,X10) ) ) ) ) ) ) )
| ! [X14] :
( ssItem(X14)
=> ( ~ memberP(X0,X14)
| memberP(X1,X14) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( app(app(X4,X2),X5) = X3
& strictorderedP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != X2
| ~ lt(X6,X8) ) ) ) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( ~ ssList(X13)
| app(X13,cons(X12,nil)) != X2
| ~ lt(X12,X10) ) ) ) )
& ssList(X5) )
& ssList(X4) )
& ? [X14] :
( memberP(X0,X14)
& ~ memberP(X1,X14)
& ssItem(X14) )
& ( nil = X3
| nil != X2 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( app(app(X4,X2),X5) = X3
& strictorderedP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != X2
| ~ lt(X6,X8) ) ) ) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( ~ ssList(X13)
| app(X13,cons(X12,nil)) != X2
| ~ lt(X12,X10) ) ) ) )
& ssList(X5) )
& ssList(X4) )
& ? [X14] :
( memberP(X0,X14)
& ~ memberP(X1,X14)
& ssItem(X14) )
& ( nil = X3
| nil != X2 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f318,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f331,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f332,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f413,plain,
ssList(sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
sK50 = app(app(sK52,sK49),sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
ssList(sK52),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
~ memberP(sK48,sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
memberP(sK47,sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f422,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f423,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f426,plain,
ssList(sK47),
inference(cnf_transformation,[],[f222]) ).
fof(f427,plain,
ssList(sK49),
inference(definition_unfolding,[],[f426,f422]) ).
fof(f429,plain,
memberP(sK49,sK51),
inference(definition_unfolding,[],[f419,f422]) ).
fof(f430,plain,
~ memberP(sK50,sK51),
inference(definition_unfolding,[],[f418,f423]) ).
fof(f550,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ssList(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f318]) ).
fof(f562,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| ssList(X1)
| ssList(X2)
| memberP(X1,X0)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f332]) ).
fof(f563,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| ssList(X1)
| ssList(X2)
| memberP(X2,X0)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f331]) ).
fof(f640,plain,
~ ssList(sK49),
inference(consistent_polarity_flipping,[],[f427]) ).
fof(f644,plain,
~ memberP(sK49,sK51),
inference(consistent_polarity_flipping,[],[f429]) ).
fof(f645,plain,
memberP(sK50,sK51),
inference(consistent_polarity_flipping,[],[f430]) ).
fof(f646,plain,
~ ssItem(sK51),
inference(consistent_polarity_flipping,[],[f417]) ).
fof(f647,plain,
~ ssList(sK52),
inference(consistent_polarity_flipping,[],[f416]) ).
fof(f648,plain,
~ ssList(sK53),
inference(consistent_polarity_flipping,[],[f413]) ).
fof(f1288,definition,
( spl54_25
<=> ssList(app(sK52,sK49)) ),
introduced(definition,[new_symbols(definition,[spl54_25])],[avatar_definition]) ).
fof(f1289,plain,
( ~ ssList(app(sK52,sK49))
| spl54_25 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1290,plain,
( ssList(app(sK52,sK49))
| ~ spl54_25 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1358,plain,
( ssList(sK49)
| ssList(sK52)
| ~ spl54_25 ),
inference(resolution,[],[f1290,f550]) ).
fof(f1359,plain,
( ssList(sK52)
| ~ spl54_25 ),
inference(forward_subsumption_resolution,[],[f1358,f640]) ).
fof(f1360,plain,
( $false
| ~ spl54_25 ),
inference(forward_subsumption_resolution,[],[f1359,f647]) ).
fof(f1361,plain,
~ spl54_25,
inference(avatar_contradiction_clause,[],[f1360]) ).
fof(f1570,plain,
! [X0] :
( ~ memberP(sK50,X0)
| ssList(app(sK52,sK49))
| ssList(sK53)
| memberP(app(sK52,sK49),X0)
| ssItem(X0) ),
inference(superposition,[],[f562,f415]) ).
fof(f1581,plain,
( ! [X0] :
( ~ memberP(sK50,X0)
| ssList(sK53)
| memberP(app(sK52,sK49),X0)
| ssItem(X0) )
| spl54_25 ),
inference(forward_subsumption_resolution,[],[f1570,f1289]) ).
fof(f1582,plain,
( ! [X0] :
( ~ memberP(sK50,X0)
| memberP(app(sK52,sK49),X0)
| ssItem(X0) )
| spl54_25 ),
inference(forward_subsumption_resolution,[],[f1581,f648]) ).
fof(f4626,plain,
( memberP(app(sK52,sK49),sK51)
| ssItem(sK51)
| spl54_25 ),
inference(resolution,[],[f1582,f645]) ).
fof(f4630,plain,
( memberP(app(sK52,sK49),sK51)
| spl54_25 ),
inference(forward_subsumption_resolution,[],[f4626,f646]) ).
fof(f8729,plain,
( ssList(sK52)
| ssList(sK49)
| memberP(sK49,sK51)
| ssItem(sK51)
| spl54_25 ),
inference(resolution,[],[f4630,f563]) ).
fof(f8738,plain,
( ssList(sK49)
| memberP(sK49,sK51)
| ssItem(sK51)
| spl54_25 ),
inference(forward_subsumption_resolution,[],[f8729,f647]) ).
fof(f8742,plain,
( memberP(sK49,sK51)
| ssItem(sK51)
| spl54_25 ),
inference(forward_subsumption_resolution,[],[f8738,f640]) ).
fof(f8744,plain,
( ssItem(sK51)
| spl54_25 ),
inference(forward_subsumption_resolution,[],[f8742,f644]) ).
fof(f8745,plain,
( $false
| spl54_25 ),
inference(forward_subsumption_resolution,[],[f8744,f646]) ).
fof(f8746,plain,
spl54_25,
inference(avatar_contradiction_clause,[],[f8745]) ).
cnf(s35,plain,
~ spl54_25,
inference(sat_conversion,[],[f1361]) ).
cnf(s588,plain,
spl54_25,
inference(sat_conversion,[],[f8746]) ).
cnf(s610,plain,
$false,
inference(rat,[],[s35,s588]) ).
fof(f8747,plain,
$false,
inference(avatar_sat_refutation,[],[s610]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC404+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n017.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 09:26:21 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.28 Running first-order model finding
% 0.09/0.28 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
% 2.07/0.60 % (3423923)Will run a generic schedule for satisfiability detection.
% 2.07/0.60 % (3423930)% WARNING: option uhcvi not known.
% 2.07/0.60 % (3423932)dis+10_1_sil=32000:sp=arity:random_seed=80379534:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.07/0.60 % (3423930)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2334796256:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.07/0.60 % (3423931)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1827664815:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.07/0.60 % (3423929)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2204789211_2999 on theBenchmark for (2999ds/0Mi)
% 2.07/0.60 % (3423935)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2407077789:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.07/0.60 % (3423933)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2738162715:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.07/0.60 % (3423934)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1629126396:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.07/0.60 % TRYING [1]
% 2.07/0.60 % TRYING [2]
% 2.07/0.60 % TRYING [3]
% 2.07/0.60 % TRYING [4]
% 2.07/0.60 % (3423932)Instruction limit reached!
% 2.07/0.60 % (3423932)------------------------------
% 2.07/0.60 % (3423932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.60 % (3423932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.60 % (3423932)CaDiCaL version: 2.1.3
% 2.07/0.60 % (3423932)Termination reason: Instruction limit
% 2.07/0.60 % (3423932)Termination phase: Saturation
% 2.07/0.60 % (3423932)Time elapsed: 0.086 s
% 2.07/0.60 % (3423932)Peak memory usage: 13 MB
% 2.07/0.60 % (3423932)Instructions burned: 104 (million)
% 2.07/0.60 % (3423944)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2321887410:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.07/0.60 % (3423935)Instruction limit reached!
% 2.07/0.60 % (3423935)------------------------------
% 2.07/0.60 % (3423935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.60 % (3423935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.60 % (3423935)CaDiCaL version: 2.1.3
% 2.07/0.60 % (3423935)Termination reason: Instruction limit
% 2.07/0.60 % (3423935)Termination phase: Saturation
% 2.07/0.60 % (3423935)Time elapsed: 0.092 s
% 2.07/0.60 % (3423935)Peak memory usage: 14 MB
% 2.07/0.60 % (3423935)Instructions burned: 159 (million)
% 2.07/0.60 % (3423933)Instruction limit reached!
% 2.07/0.60 % (3423933)------------------------------
% 2.07/0.60 % (3423933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.60 % (3423933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.60 % (3423933)CaDiCaL version: 2.1.3
% 2.07/0.60 % (3423933)Termination reason: Instruction limit
% 2.07/0.60 % (3423933)Termination phase: Saturation
% 2.07/0.60 % (3423933)Time elapsed: 0.106 s
% 2.07/0.60 % (3423933)Peak memory usage: 13 MB
% 2.07/0.60 % (3423933)Instructions burned: 116 (million)
% 2.07/0.60 % TRYING [1]
% 2.07/0.60 % TRYING [2]
% 2.07/0.60 % (3423946)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2612920111:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.07/0.60 % TRYING [3]
% 2.07/0.60 % (3423947)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=3070689121:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.07/0.60 % (3423934)Instruction limit reached!
% 2.07/0.60 % (3423934)------------------------------
% 2.07/0.60 % (3423934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.60 % (3423934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.60 % TRYING [5]
% 2.07/0.60 % (3423934)CaDiCaL version: 2.1.3
% 2.07/0.60 % (3423934)Termination reason: Instruction limit
% 2.07/0.60 % (3423934)Termination phase: Saturation
% 2.07/0.60 % (3423934)Time elapsed: 0.135 s
% 2.07/0.60 % (3423934)Peak memory usage: 14 MB
% 2.07/0.60 % (3423934)Instructions burned: 131 (million)
% 2.07/0.60 % TRYING [4]
% 2.07/0.60 % (3423950)ott-21_1_sil=16000:fs=off:random_seed=4120365595:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.07/0.60 % (3423930) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3423923-3423930"...
% 2.07/0.60 % (3423930)...printing done.
% 2.07/0.60 % (3423930)Refutation found. Thanks to Tanya!
% 2.07/0.61 % SZS status Theorem for theBenchmark
% 2.07/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.61 % (3423930)------------------------------
% 2.07/0.61 % (3423930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.61 % (3423930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.61 % (3423930)CaDiCaL version: 2.1.3
% 2.07/0.61 % (3423930)Termination reason: Refutation
% 2.07/0.61 % (3423930)Time elapsed: 0.266 s
% 2.07/0.61 % (3423930)Peak memory usage: 17 MB
% 2.07/0.61 % (3423930)Instructions burned: 309 (million)
% 2.07/0.61 % (3423923)Success in time 0.313 s
% 2.07/0.61 % Vampire exiting
%------------------------------------------------------------------------------