%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC037-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:02:09 PM UTC 2026
% Result : Unsatisfiable 2.65s 1.34s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 14 unt; 4 def)
% Number of atoms : 95 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 43 ~; 44 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ssList(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f213,negated_conjecture,
( neq(sk5,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f214,negated_conjecture,
( segmentP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f216,plain,
nil = sk4,
inference(definition_unfolding,[],[f204,f205]) ).
fof(f219,plain,
sk3 != sk4,
inference(definition_unfolding,[],[f207,f216,f206]) ).
fof(f221,plain,
( ssList(sk5)
| sk3 = sk4 ),
inference(definition_unfolding,[],[f209,f216]) ).
fof(f225,plain,
( neq(sk5,sk4)
| sk3 = sk4 ),
inference(definition_unfolding,[],[f213,f216,f216]) ).
fof(f226,plain,
( segmentP(sk4,sk5)
| sk3 = sk4 ),
inference(definition_unfolding,[],[f214,f216]) ).
fof(f229,plain,
! [X0] :
( ~ segmentP(sk4,X0)
| ~ ssList(X0)
| sk4 = X0 ),
inference(definition_unfolding,[],[f80,f216,f216]) ).
fof(f237,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f243,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f256,definition,
( spl0_4
<=> sk3 = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f257,plain,
( sk3 = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f263,definition,
( spl0_6
<=> segmentP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f264,plain,
( segmentP(sk4,sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f226,f263,f256]) ).
fof(f267,definition,
( spl0_7
<=> neq(sk5,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f268,plain,
( neq(sk5,sk4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f269,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f225,f267,f256]) ).
fof(f271,definition,
( spl0_8
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f272,plain,
( ssList(sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f273,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f221,f271,f256]) ).
fof(f276,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f257,f219]) ).
fof(f277,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f279,plain,
( ~ ssList(sk5)
| sk4 = sk5
| ~ spl0_6 ),
inference(resolution,[],[f229,f264]) ).
fof(f282,plain,
( sk4 = sk5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f279,f272]) ).
fof(f283,plain,
( neq(sk4,sk4)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f268,f282]) ).
fof(f293,plain,
( ~ ssList(sk4)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f243,f283]) ).
fof(f294,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f293,f203]) ).
fof(f295,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f294]) ).
cnf(s4,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f265]) ).
cnf(s5,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f269]) ).
cnf(s6,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f273]) ).
cnf(s8,plain,
~ spl0_4,
inference(sat_conversion,[],[f277]) ).
cnf(s9,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f295]) ).
cnf(s10,plain,
spl0_8,
inference(rat,[],[s6,s8]) ).
cnf(s11,plain,
spl0_7,
inference(rat,[],[s5,s8]) ).
cnf(s12,plain,
~ spl0_6,
inference(rat,[],[s9,s10,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s4,s12,s8]) ).
fof(f296,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:37:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.65/1.34 % (3456418)Input is clausal, will run a generic CNF schedule.
% 2.65/1.34 % (3456427)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=205051458:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.65/1.34 % (3456427)First to succeed.
% 2.65/1.34 % (3456427)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3456418"
% 2.65/1.34 % (3456428)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1034468475:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.65/1.34 % (3456426)lrs+10_1_sil=8000:sp=occurrence:random_seed=1974886240:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.65/1.34 % (3456423)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=1857029817:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.65/1.34 % (3456425)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=679415405:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.65/1.34 % (3456424)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3896893918:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.65/1.34 % (3456426)Also succeeded, but the first one will report.
% 2.65/1.34 % (3456429)dis-21_1_sil=8000:lcm=predicate:random_seed=2944961810: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)
% 2.65/1.34 % (3456428)Also succeeded, but the first one will report.
% 2.65/1.34 % (3456429)Instruction limit reached!
% 2.65/1.34 % (3456429)------------------------------
% 2.65/1.34 % (3456429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.34 % (3456429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.34 % (3456429)CaDiCaL version: 2.1.3
% 2.65/1.34 % (3456429)Termination reason: Instruction limit
% 2.65/1.34 % (3456429)Termination phase: Saturation
% 2.65/1.34 % (3456429)Time elapsed: 0.071 s
% 2.65/1.34 % (3456429)Peak memory usage: 90 MB
% 2.65/1.34 % (3456429)Instructions burned: 117 (million)
% 2.65/1.34 % (3456427)Refutation found. Thanks to Tanya!
% 2.65/1.34 % SZS status Unsatisfiable for theBenchmark
% 2.65/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.34 % (3456427)------------------------------
% 2.65/1.34 % (3456427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.34 % (3456427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.34 % (3456427)CaDiCaL version: 2.1.3
% 2.65/1.34 % (3456427)Termination reason: Refutation
% 2.65/1.34 % (3456427)Time elapsed: 0.002 s
% 2.65/1.34 % (3456427)Peak memory usage: 89 MB
% 2.65/1.34 % (3456427)Instructions burned: 3 (million)
% 2.65/1.34 % (3456427)------------------------------
% 2.65/1.34 % (3456427)------------------------------
% 2.65/1.34 % (3456418)Success in time 0.294 s
% 2.65/1.34 % Vampire exiting
%------------------------------------------------------------------------------