%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC037-1 : 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 : n009.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 01:04:23 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 43 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause80) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ssList(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f213,negated_conjecture,
( neq(sk5,nil)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f214,negated_conjecture,
( segmentP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f216,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f244,plain,
! [X0] :
( ~ segmentP(sk4,X0)
| ~ ssList(X0)
| sk4 = X0 ),
inference(definition_unfolding,[],[f80,f216,f216]) ).
fof(f271,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f207,f216,f206]) ).
fof(f273,plain,
( ssList(sk5)
| sk3 = sk4 ),
inference(definition_unfolding,[],[f209,f216]) ).
fof(f277,plain,
( neq(sk5,sk4)
| sk3 = sk4 ),
inference(definition_unfolding,[],[f213,f216,f216]) ).
fof(f278,plain,
( segmentP(sk4,sk5)
| sk3 = sk4 ),
inference(definition_unfolding,[],[f214,f216]) ).
fof(f286,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f308,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f286]) ).
fof(f339,plain,
ssList(sk5),
inference(forward_subsumption_resolution,[],[f273,f271]) ).
fof(f340,plain,
neq(sk5,sk4),
inference(forward_subsumption_resolution,[],[f277,f271]) ).
fof(f341,plain,
segmentP(sk4,sk5),
inference(forward_subsumption_resolution,[],[f278,f271]) ).
fof(f496,plain,
( ~ ssList(sk5)
| sk4 = sk5 ),
inference(resolution,[],[f244,f341]) ).
fof(f498,plain,
sk4 = sk5,
inference(forward_subsumption_resolution,[],[f496,f339]) ).
fof(f510,plain,
neq(sk4,sk4),
inference(superposition,[],[f340,f498]) ).
fof(f515,plain,
~ ssList(sk4),
inference(resolution,[],[f510,f308]) ).
fof(f516,plain,
$false,
inference(forward_subsumption_resolution,[],[f515,f203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 % Computer : n009.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 28 07:32:34 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.45 Running first-order model finding
% 0.13/0.45 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
% 0.19/0.51 % (2864105)Will run a generic schedule for satisfiability detection.
% 0.19/0.51 % (2864116)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2890307588:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.51 % (2864111)% WARNING: option uhcvi not known.
% 0.19/0.51 % (2864110)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3043005597_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.51 % (2864111)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2421032570:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.51 % (2864112)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1031388918:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.51 % (2864113)dis+10_1_sil=32000:sp=arity:random_seed=2629892931:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.51 % (2864114)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1469112757:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.51 % (2864115)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2834431127:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.51 % (2864112) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2864105-2864112"...
% 0.19/0.51 % (2864112)...printing done.
% 0.19/0.51 % TRYING [1]
% 0.19/0.51 % (2864112)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (2864112)------------------------------
% 0.19/0.51 % (2864112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.51 % (2864112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.51 % (2864112)CaDiCaL version: 2.1.3
% 0.19/0.51 % (2864112)Termination reason: Refutation
% 0.19/0.51 % (2864112)Time elapsed: 0.010 s
% 0.19/0.51 % (2864112)Peak memory usage: 12 MB
% 0.19/0.51 % (2864112)Instructions burned: 13 (million)
% 0.19/0.51 % (2864105)Success in time 0.054 s
% 0.19/0.51 % Vampire exiting
%------------------------------------------------------------------------------