%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC006+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 : 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 01:02:00 PM UTC 2026
% Result : Theorem 2.60s 1.39s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 96 ( 38 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 120 ( 45 ~; 35 |; 30 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 40 ( 27 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
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)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = X1
& app(X4,X6) = X0 ) ) )
| ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ~ ssList(X9)
| app(app(X7,X8),X9) != X3
| app(X7,X9) != 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)
& ? [X6] :
( ssList(X6)
& app(app(X4,X5),X6) = X1
& app(X4,X6) = X0 ) ) )
| ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ! [X9] :
( ~ ssList(X9)
| app(app(X7,X8),X9) != X3
| app(X7,X9) != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X4,X5),X6) != X1
| app(X4,X6) != X0 ) ) )
& ? [X7] :
( ? [X8] :
( ? [X9] :
( ssList(X9)
& app(app(X7,X8),X9) = X3
& app(X7,X9) = X2 )
& ssList(X8) )
& ssList(X7) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f295,plain,
( ssList(sK56)
& sK54 = sK56
& sK53 = sK55
& ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X4,X5),X6) != sK54
| app(X4,X6) != sK53 ) ) )
& ssList(sK59)
& sK56 = app(app(sK57,sK58),sK59)
& sK55 = app(sK57,sK59)
& ssList(sK58)
& ssList(sK57)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X7,sK57),skolemize(X8,sK58),skolemize(X9,sK59)],[f221]) ).
fof(f498,plain,
ssList(sK57),
inference(cnf_transformation,[],[f295]) ).
fof(f499,plain,
ssList(sK58),
inference(cnf_transformation,[],[f295]) ).
fof(f500,plain,
sK55 = app(sK57,sK59),
inference(cnf_transformation,[],[f295]) ).
fof(f501,plain,
sK56 = app(app(sK57,sK58),sK59),
inference(cnf_transformation,[],[f295]) ).
fof(f502,plain,
ssList(sK59),
inference(cnf_transformation,[],[f295]) ).
fof(f503,plain,
! [X6,X4,X5] :
( app(X4,X6) != sK53
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X4,X5),X6) != sK54
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f295]) ).
fof(f504,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f295]) ).
fof(f505,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f295]) ).
fof(f578,plain,
sK53 = app(sK57,sK59),
inference(forward_demodulation,[],[f500,f504]) ).
fof(f579,plain,
sK54 = app(app(sK57,sK58),sK59),
inference(forward_demodulation,[],[f501,f505]) ).
fof(f580,plain,
! [X0] :
( sK53 != sK53
| ~ ssList(X0)
| ~ ssList(sK59)
| sK54 != app(app(sK57,X0),sK59)
| ~ ssList(sK57) ),
inference(superposition,[],[f503,f578]) ).
fof(f582,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(sK59)
| sK54 != app(app(sK57,X0),sK59)
| ~ ssList(sK57) ),
inference(trivial_inequality_removal,[],[f580]) ).
fof(f584,plain,
! [X0] :
( ~ ssList(X0)
| sK54 != app(app(sK57,X0),sK59)
| ~ ssList(sK57) ),
inference(forward_subsumption_resolution,[],[f582,f502]) ).
fof(f597,plain,
! [X0] :
( sK54 != app(app(sK57,X0),sK59)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f584,f498]) ).
fof(f599,plain,
( sK54 != sK54
| ~ ssList(sK58) ),
inference(superposition,[],[f597,f579]) ).
fof(f600,plain,
~ ssList(sK58),
inference(trivial_inequality_removal,[],[f599]) ).
fof(f601,plain,
$false,
inference(forward_subsumption_resolution,[],[f600,f499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC006+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n017.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 28 07:19:52 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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
% 2.60/1.39 % (3371379)Detected formulas, will run a generic FOF schedule.
% 2.60/1.39 % (3371494)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2726616712:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.60/1.39 % (3371494)First to succeed.
% 2.60/1.39 % (3371494)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3371379"
% 2.60/1.39 % (3371492)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2576955617:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.60/1.39 % (3371489)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=477190192:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.60/1.39 % (3371491)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2099305611:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.60/1.39 % (3371493)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3565741914:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.60/1.39 % (3371493)Also succeeded, but the first one will report.
% 2.60/1.39 % (3371490)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1734291366:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.60/1.39 % (3371492)Also succeeded, but the first one will report.
% 2.60/1.39 % (3371495)dis-21_1_sil=8000:lcm=predicate:random_seed=4084584690:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.60/1.39 % (3371495)Also succeeded, but the first one will report.
% 2.60/1.39 % (3371494)Refutation found. Thanks to Tanya!
% 2.60/1.39 % SZS status Theorem for theBenchmark
% 2.60/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/1.39 % (3371494)------------------------------
% 2.60/1.39 % (3371494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.39 % (3371494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.39 % (3371494)CaDiCaL version: 2.1.3
% 2.60/1.39 % (3371494)Termination reason: Refutation
% 2.60/1.39 % (3371494)Time elapsed: 0.004 s
% 2.60/1.39 % (3371494)Peak memory usage: 89 MB
% 2.60/1.39 % (3371494)Instructions burned: 10 (million)
% 2.60/1.39 % (3371494)------------------------------
% 2.60/1.39 % (3371494)------------------------------
% 2.60/1.39 % (3371379)Success in time 0.274 s
% 2.60/1.39 % Vampire exiting
%------------------------------------------------------------------------------