%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC340-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:03:32 PM UTC 2026
% Result : Unsatisfiable 5.41s 1.54s
% Output : Refutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 40 ( 16 unt; 2 def)
% Number of atoms : 109 ( 5 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 129 ( 60 ~; 67 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 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/theBenchmark.p',clause27) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f106,axiom,
! [X0,X1] :
( leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f177,axiom,
! [X0] :
( app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',clause181) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f211,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f208,f204,f205,f205]) ).
fof(f216,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(f227,definition,
( spl0_1
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f229,plain,
( ~ totalorderedP(sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f231,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f234,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f211,f231,f227]) ).
fof(f235,plain,
spl0_2,
inference(avatar_split_clause,[],[f206,f231]) ).
fof(f778,plain,
( ~ leq(skaf64(sk3),skaf65(sk3))
| spl0_1 ),
inference(unit_resulting_resolution,[],[f91,f202,f229]) ).
fof(f779,plain,
( sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))
| spl0_1 ),
inference(unit_resulting_resolution,[],[f177,f202,f229]) ).
fof(f780,plain,
( ~ lt(skaf64(sk3),skaf65(sk3))
| spl0_1 ),
inference(unit_resulting_resolution,[],[f106,f30,f31,f778]) ).
fof(f788,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))
| spl0_1 ),
inference(superposition,[],[f216,f779]) ).
fof(f870,plain,
( ~ ssList(skaf67(sk3))
| ~ ssList(skaf66(sk3))
| ~ ssItem(skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f788,f202]) ).
fof(f895,plain,
( ~ ssList(skaf66(sk3))
| ~ ssItem(skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f870,f28]) ).
fof(f926,plain,
( ~ ssItem(skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f895,f29]) ).
fof(f929,plain,
( ~ ssItem(skaf64(sk3))
| ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f926,f30]) ).
fof(f932,plain,
( ~ strictorderedP(sk3)
| ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f929,f31]) ).
fof(f935,plain,
( ~ ssList(skaf68(sk3))
| lt(skaf64(sk3),skaf65(sk3))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f932,f207]) ).
fof(f938,plain,
( lt(skaf64(sk3),skaf65(sk3))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f935,f27]) ).
fof(f941,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f938,f780]) ).
fof(f942,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f941]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f234]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f235]) ).
cnf(s23,plain,
spl0_1,
inference(sat_conversion,[],[f942]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s1,s2,s23]) ).
fof(f961,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC340-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n019.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 09:11:03 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.50/1.35 % (3866756)Input is clausal, will run a generic CNF schedule.
% 4.50/1.35 % (3866761)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1439072571:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.50/1.35 % (3866762)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2021738838:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.50/1.35 % (3866764)lrs+10_1_sil=8000:sp=occurrence:random_seed=576817588:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.50/1.35 % (3866766)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1541977655:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.50/1.35 % (3866763)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3635228906:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.50/1.35 % (3866765)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=785534710:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.50/1.35 % (3866767)dis-21_1_sil=8000:lcm=predicate:random_seed=3042607909:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.50/1.35 % (3866767)Instruction limit reached!
% 4.50/1.35 % (3866767)------------------------------
% 4.50/1.35 % (3866767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.35 % (3866767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.35 % (3866767)CaDiCaL version: 2.1.3
% 4.50/1.35 % (3866767)Termination reason: Instruction limit
% 4.50/1.35 % (3866767)Termination phase: Saturation
% 4.50/1.35 % (3866767)Time elapsed: 0.051 s
% 4.50/1.35 % (3866767)Peak memory usage: 89 MB
% 4.50/1.35 % (3866767)Instructions burned: 119 (million)
% 4.50/1.35 % (3866765)Instruction limit reached!
% 4.50/1.35 % (3866765)------------------------------
% 4.50/1.35 % (3866765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.35 % (3866765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.35 % (3866765)CaDiCaL version: 2.1.3
% 4.50/1.35 % (3866765)Termination reason: Instruction limit
% 4.50/1.35 % (3866765)Termination phase: Saturation
% 4.50/1.35 % (3866765)Time elapsed: 0.055 s
% 4.50/1.35 % (3866765)Peak memory usage: 88 MB
% 4.50/1.35 % (3866765)Instructions burned: 115 (million)
% 4.50/1.35 % (3866764)Instruction limit reached!
% 4.50/1.35 % (3866764)------------------------------
% 4.50/1.35 % (3866764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.35 % (3866764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.35 % (3866764)CaDiCaL version: 2.1.3
% 4.50/1.35 % (3866764)Termination reason: Instruction limit
% 4.50/1.35 % (3866764)Termination phase: Saturation
% 4.50/1.35 % (3866764)Time elapsed: 0.068 s
% 4.50/1.35 % (3866764)Peak memory usage: 90 MB
% 4.50/1.35 % (3866764)Instructions burned: 107 (million)
% 4.50/1.35 % (3866766)Instruction limit reached!
% 4.50/1.35 % (3866766)------------------------------
% 4.50/1.35 % (3866766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.50/1.35 % (3866766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.50/1.35 % (3866766)CaDiCaL version: 2.1.3
% 4.50/1.35 % (3866766)Termination reason: Instruction limit
% 4.50/1.35 % (3866766)Termination phase: Saturation
% 4.50/1.35 % (3866766)Time elapsed: 0.119 s
% 4.50/1.35 % (3866766)Peak memory usage: 90 MB
% 4.50/1.35 % (3866766)Instructions burned: 181 (million)
% 4.50/1.35 % (3866776)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2378929919:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.50/1.35 % (3866777)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=200552961:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.50/1.35 % (3866775)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2237215734:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.50/1.35 % (3866776)First to succeed.
% 4.50/1.35 % (3866776)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3866756"
% 4.50/1.35 % (3866778)lrs+10_64_to=lpo:sil=8000:random_seed=2559186442:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.41/1.54 % (3866777)Instruction limit reached!
% 5.41/1.54 % (3866777)------------------------------
% 5.41/1.54 % (3866777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.54 % (3866777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.54 % (3866777)CaDiCaL version: 2.1.3
% 5.41/1.54 % (3866777)Termination reason: Instruction limit
% 5.41/1.54 % (3866777)Termination phase: Saturation
% 5.41/1.54 % (3866777)Time elapsed: 0.082 s
% 5.41/1.54 % (3866777)Peak memory usage: 88 MB
% 5.41/1.54 % (3866777)Instructions burned: 220 (million)
% 5.41/1.54 % (3866775)Instruction limit reached!
% 5.41/1.54 % (3866775)------------------------------
% 5.41/1.54 % (3866775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.54 % (3866775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.54 % (3866775)CaDiCaL version: 2.1.3
% 5.41/1.54 % (3866775)Termination reason: Instruction limit
% 5.41/1.54 % (3866775)Termination phase: Saturation
% 5.41/1.54 % (3866775)Time elapsed: 0.095 s
% 5.41/1.54 % (3866775)Peak memory usage: 89 MB
% 5.41/1.54 % (3866775)Instructions burned: 143 (million)
% 5.41/1.54 % (3866761)Also succeeded, but the first one will report.
% 5.41/1.54 % (3866778)Instruction limit reached!
% 5.41/1.54 % (3866778)------------------------------
% 5.41/1.54 % (3866778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.54 % (3866778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.54 % (3866778)CaDiCaL version: 2.1.3
% 5.41/1.54 % (3866778)Termination reason: Instruction limit
% 5.41/1.54 % (3866778)Termination phase: Saturation
% 5.41/1.54 % (3866778)Time elapsed: 0.069 s
% 5.41/1.54 % (3866778)Peak memory usage: 90 MB
% 5.41/1.54 % (3866778)Instructions burned: 128 (million)
% 5.41/1.54 % (3866783)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1179634946:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.41/1.54 % (3866784)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=634225498:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.41/1.54 % (3866776)Refutation found. Thanks to Tanya!
% 5.41/1.54 % SZS status Unsatisfiable for theBenchmark
% 5.41/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 5.41/1.54 % (3866776)------------------------------
% 5.41/1.54 % (3866776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.54 % (3866776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.54 % (3866776)CaDiCaL version: 2.1.3
% 5.41/1.54 % (3866776)Termination reason: Refutation
% 5.41/1.54 % (3866776)Time elapsed: 0.030 s
% 5.41/1.54 % (3866776)Peak memory usage: 90 MB
% 5.41/1.54 % (3866776)Instructions burned: 54 (million)
% 5.41/1.54 % (3866776)------------------------------
% 5.41/1.54 % (3866776)------------------------------
% 5.41/1.54 % (3866756)Success in time 0.681 s
% 5.41/1.54 % Vampire exiting
%------------------------------------------------------------------------------