%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC270-1 : 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 : n013.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 01:05:20 PM UTC 2026
% Result : Unsatisfiable 2.46s 0.65s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 44 ( 19 unt; 2 def)
% Number of atoms : 111 ( 5 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 135 ( 68 ~; 65 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause27) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause28) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause29) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause30) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause31) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause91) ).
fof(f106,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause103) ).
fof(f177,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause164) ).
fof(f195,axiom,
! [X2,X3,X0,X1,X4,X5] :
( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(X5)
| ~ ssList(X5)
| lt(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause181) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f207,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f211,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f208,f205]) ).
fof(f231,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f195]) ).
fof(f2355,plain,
( totalorderedP(sk3)
| sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) ),
inference(resolution,[],[f177,f202]) ).
fof(f2358,plain,
sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))),
inference(forward_subsumption_resolution,[],[f2355,f211]) ).
fof(f3214,plain,
( ~ ssList(sk3)
| ~ ssList(skaf67(sk3))
| ~ ssList(skaf66(sk3))
| ~ ssItem(skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(superposition,[],[f231,f2358]) ).
fof(f3260,plain,
( ~ ssList(skaf67(sk3))
| ~ ssList(skaf66(sk3))
| ~ ssItem(skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3214,f202]) ).
fof(f3294,plain,
( ~ ssList(skaf66(sk3))
| ~ ssItem(skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3260,f28]) ).
fof(f3310,plain,
( ~ ssItem(skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3294,f29]) ).
fof(f3324,plain,
( ~ ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3310,f30]) ).
fof(f3353,plain,
( ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3324,f31]) ).
fof(f3357,plain,
( ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(forward_subsumption_resolution,[],[f3353,f207]) ).
fof(f3361,plain,
lt(skaf64(sk3),skaf65(sk3)),
inference(forward_subsumption_resolution,[],[f3357,f27]) ).
fof(f3367,definition,
( spl0_128
<=> lt(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f3369,plain,
( lt(skaf64(sk3),skaf65(sk3))
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f3367]) ).
fof(f3376,definition,
( spl0_130
<=> leq(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f3378,plain,
( leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f3376]) ).
fof(f3381,plain,
spl0_128,
inference(avatar_split_clause,[],[f3361,f3367]) ).
fof(f3560,plain,
( ~ ssItem(skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_128 ),
inference(resolution,[],[f3369,f106]) ).
fof(f3561,plain,
( ~ ssItem(skaf64(sk3))
| leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f3560,f30]) ).
fof(f3566,plain,
( leq(skaf64(sk3),skaf65(sk3))
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f3561,f31]) ).
fof(f3571,plain,
( spl0_130
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f3566,f3367,f3376]) ).
fof(f5733,plain,
( ~ ssList(sk3)
| totalorderedP(sk3)
| ~ spl0_130 ),
inference(resolution,[],[f3378,f91]) ).
fof(f5740,plain,
( totalorderedP(sk3)
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f5733,f202]) ).
fof(f5743,plain,
( $false
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f5740,f211]) ).
fof(f5744,plain,
~ spl0_130,
inference(avatar_contradiction_clause,[],[f5743]) ).
cnf(s109,plain,
spl0_128,
inference(sat_conversion,[],[f3381]) ).
cnf(s132,plain,
( ~ spl0_128
| spl0_130 ),
inference(sat_conversion,[],[f3571]) ).
cnf(s371,plain,
~ spl0_130,
inference(sat_conversion,[],[f5744]) ).
cnf(s372,plain,
~ spl0_128,
inference(rat,[],[s132,s371]) ).
cnf(s373,plain,
$false,
inference(rat,[],[s109,s372]) ).
fof(f5746,plain,
$false,
inference(avatar_sat_refutation,[],[s373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC270-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25 % Computer : n013.cluster.edu
% 0.08/0.25 % Model : x86_64 x86_64
% 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25 % Memory : 8046.5625MB
% 0.08/0.25 % OS : Linux 6.8.0-71-generic
% 0.08/0.25 % CPULimit : 300
% 0.08/0.25 % WCLimit : 300
% 0.08/0.25 % DateTime : Mon Sep 28 08:47:06 UTC 2026
% 0.08/0.25 % CPUTime :
% 0.08/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.28 Running first-order model finding
% 0.18/0.28 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
% 2.46/0.65 % (1034278)Will run a generic schedule for satisfiability detection.
% 2.46/0.65 % (1034288)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3643833847:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.46/0.65 % (1034284)% WARNING: option uhcvi not known.
% 2.46/0.65 % (1034283)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2297388088_2999 on theBenchmark for (2999ds/0Mi)
% 2.46/0.65 % (1034284)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3804389640:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.46/0.65 % (1034285)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1263985619:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.46/0.65 % (1034286)dis+10_1_sil=32000:sp=arity:random_seed=2721639897:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.46/0.65 % (1034287)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=624789365:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.46/0.65 % (1034289)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1362597287:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.46/0.65 % TRYING [1]
% 2.46/0.65 % TRYING [2]
% 2.46/0.65 % TRYING [3]
% 2.46/0.65 % (1034288)Instruction limit reached!
% 2.46/0.65 % (1034288)------------------------------
% 2.46/0.65 % (1034288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.65 % (1034288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.65 % (1034288)CaDiCaL version: 2.1.3
% 2.46/0.65 % (1034288)Termination reason: Instruction limit
% 2.46/0.65 % (1034288)Termination phase: Saturation
% 2.46/0.65 % (1034288)Time elapsed: 0.035 s
% 2.46/0.65 % (1034288)Peak memory usage: 14 MB
% 2.46/0.65 % (1034288)Instructions burned: 133 (million)
% 2.46/0.65 % TRYING [4]
% 2.46/0.65 % (1034297)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2765440178:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.46/0.65 % TRYING [1]
% 2.46/0.65 % TRYING [2]
% 2.46/0.65 % TRYING [3]
% 2.46/0.65 % (1034286)Instruction limit reached!
% 2.46/0.65 % (1034286)------------------------------
% 2.46/0.65 % (1034286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.65 % (1034286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.65 % (1034286)CaDiCaL version: 2.1.3
% 2.46/0.65 % (1034286)Termination reason: Instruction limit
% 2.46/0.65 % (1034286)Termination phase: Saturation
% 2.46/0.65 % (1034286)Time elapsed: 0.058 s
% 2.46/0.65 % (1034286)Peak memory usage: 13 MB
% 2.46/0.65 % (1034286)Instructions burned: 104 (million)
% 2.46/0.65 % TRYING [4]
% 2.46/0.65 % (1034287)Instruction limit reached!
% 2.46/0.65 % (1034287)------------------------------
% 2.46/0.65 % (1034287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.65 % (1034287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.65 % (1034287)CaDiCaL version: 2.1.3
% 2.46/0.65 % (1034287)Termination reason: Instruction limit
% 2.46/0.65 % (1034287)Termination phase: Saturation
% 2.46/0.65 % (1034287)Time elapsed: 0.060 s
% 2.46/0.65 % (1034287)Peak memory usage: 13 MB
% 2.46/0.65 % (1034287)Instructions burned: 118 (million)
% 2.46/0.65 % (1034299)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3652473758:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.46/0.65 % (1034300)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=4294301300:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.46/0.65 % (1034289)Instruction limit reached!
% 2.46/0.65 % (1034289)------------------------------
% 2.46/0.65 % (1034289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.65 % (1034289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.65 % (1034289)CaDiCaL version: 2.1.3
% 2.46/0.65 % (1034289)Termination reason: Instruction limit
% 2.46/0.65 % (1034289)Termination phase: Saturation
% 2.46/0.65 % (1034289)Time elapsed: 0.085 s
% 2.46/0.65 % (1034289)Peak memory usage: 14 MB
% 2.46/0.65 % (1034289)Instructions burned: 159 (million)
% 2.46/0.65 % TRYING [5]
% 2.46/0.65 % TRYING [5]
% 2.46/0.65 % (1034303)ott-21_1_sil=16000:fs=off:random_seed=3940678005:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.46/0.65 % (1034299)Instruction limit reached!
% 2.46/0.65 % (1034299)------------------------------
% 2.46/0.65 % (1034299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.65 % (1034299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.65 % (1034299)CaDiCaL version: 2.1.3
% 2.46/0.65 % (1034299)Termination reason: Instruction limit
% 2.46/0.65 % (1034299)Termination phase: Saturation
% 2.46/0.65 % (1034299)Time elapsed: 0.066 s
% 2.46/0.65 % (1034299)Peak memory usage: 13 MB
% 2.46/0.65 % (1034299)Instructions burned: 131 (million)
% 2.46/0.65 % (1034305)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3816948145:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.46/0.65 % TRYING [6]
% 2.46/0.65 % (1034297)Instruction limit reached!
% 2.46/0.65 % (1034297)------------------------------
% 2.46/0.65 % (1034297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.65 % (1034297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.65 % (1034297)CaDiCaL version: 2.1.3
% 2.46/0.65 % (1034297)Termination reason: Instruction limit
% 2.46/0.65 % (1034297)Termination phase: Finite model building constraint generation
% 2.46/0.65 % (1034297)Time elapsed: 0.152 s
% 2.46/0.65 % (1034297)Peak memory usage: 36 MB
% 2.46/0.65 % (1034297)Instructions burned: 721 (million)
% 2.46/0.65 % (1034303)Instruction limit reached!
% 2.46/0.65 % (1034303)------------------------------
% 2.46/0.65 % (1034303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.65 % (1034303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.65 % (1034303)CaDiCaL version: 2.1.3
% 2.46/0.65 % (1034303)Termination reason: Instruction limit
% 2.46/0.65 % (1034303)Termination phase: Saturation
% 2.46/0.65 % (1034303)Time elapsed: 0.092 s
% 2.46/0.65 % (1034303)Peak memory usage: 13 MB
% 2.46/0.65 % (1034303)Instructions burned: 181 (million)
% 2.46/0.65 % (1034307)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1055955055:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.46/0.65 % TRYING [1]
% 2.46/0.65 % TRYING [2]
% 2.46/0.65 % TRYING [3]
% 2.46/0.65 % (1034308)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=638893522:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.46/0.65 % TRYING [4]
% 2.46/0.65 % TRYING [6]
% 2.46/0.65 % TRYING [5]
% 2.46/0.65 % (1034308) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1034278-1034308"...
% 2.46/0.65 % (1034308)...printing done.
% 2.46/0.65 % (1034308)Refutation found. Thanks to Tanya!
% 2.46/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.46/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.46/0.65 % (1034308)------------------------------
% 2.46/0.65 % (1034308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.46/0.65 % (1034308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/0.65 % (1034308)CaDiCaL version: 2.1.3
% 2.46/0.65 % (1034308)Termination reason: Refutation
% 2.46/0.65 % (1034308)Time elapsed: 0.101 s
% 2.46/0.65 % (1034308)Peak memory usage: 16 MB
% 2.46/0.65 % (1034308)Instructions burned: 174 (million)
% 2.46/0.65 % (1034278)Success in time 0.36 s
% 2.46/0.65 % Vampire exiting
%------------------------------------------------------------------------------