%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN199-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 01:49:54 PM UTC 2026
% Result : Unsatisfiable 3.01s 1.46s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 11 unt; 4 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 30 ~; 21 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f29,axiom,
q0(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(f163,axiom,
! [X0] :
( s1(X0)
| ~ p0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_125) ).
fof(f164,axiom,
! [X2,X0,X1] :
( s1(X0)
| ~ q0(X0,X1)
| ~ s1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_126) ).
fof(f369,negated_conjecture,
~ s1(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f515,definition,
( spl0_42
<=> ! [X2] : ~ p0(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f516,plain,
( ! [X2] : ~ p0(X2,X2)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f1184,definition,
( spl0_230
<=> ! [X2] : ~ s1(X2) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
fof(f1185,plain,
( ! [X2] : ~ s1(X2)
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1187,definition,
( spl0_231
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
fof(f1188,plain,
( ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1189,plain,
( spl0_230
| spl0_231 ),
inference(avatar_split_clause,[],[f164,f1187,f1184]) ).
fof(f1209,definition,
( spl0_237
<=> s1(d) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
fof(f1210,plain,
( ~ s1(d)
| spl0_237 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1408,plain,
~ spl0_237,
inference(avatar_split_clause,[],[f369,f1209]) ).
fof(f1532,plain,
( $false
| ~ spl0_42 ),
inference(resolution,[],[f14,f516]) ).
fof(f1538,plain,
~ spl0_42,
inference(avatar_contradiction_clause,[],[f1532]) ).
fof(f1747,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_230 ),
inference(resolution,[],[f163,f1185]) ).
fof(f1748,plain,
( spl0_42
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f1747,f1184,f515]) ).
fof(f1758,plain,
( ! [X0] : ~ q0(d,X0)
| ~ spl0_231
| spl0_237 ),
inference(resolution,[],[f1188,f1210]) ).
fof(f1777,plain,
( $false
| ~ spl0_231
| spl0_237 ),
inference(resolution,[],[f1758,f29]) ).
fof(f1782,plain,
( ~ spl0_231
| spl0_237 ),
inference(avatar_contradiction_clause,[],[f1777]) ).
cnf(s123,plain,
( spl0_230
| spl0_231 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s154,plain,
~ spl0_237,
inference(sat_conversion,[],[f1408]) ).
cnf(s186,plain,
~ spl0_42,
inference(sat_conversion,[],[f1538]) ).
cnf(s229,plain,
( spl0_42
| ~ spl0_230 ),
inference(sat_conversion,[],[f1748]) ).
cnf(s239,plain,
( ~ spl0_231
| spl0_237 ),
inference(sat_conversion,[],[f1782]) ).
cnf(s240,plain,
~ spl0_230,
inference(rat,[],[s229,s186]) ).
cnf(s244,plain,
~ spl0_231,
inference(rat,[],[s239,s154]) ).
cnf(s265,plain,
$false,
inference(rat,[],[s123,s244,s240]) ).
fof(f1783,plain,
$false,
inference(avatar_sat_refutation,[],[s265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN199-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.30 % Computer : n004.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8046.5625MB
% 0.12/0.30 % OS : Linux 6.8.0-71-generic
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Mon Sep 28 15:38:22 UTC 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.32/0.36 Running first-order theorem proving
% 0.32/0.36 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
% 3.01/1.46 % (474837)Input is clausal, will run a generic CNF schedule.
% 3.01/1.46 % (474927)dis-21_1_sil=8000:lcm=predicate:random_seed=2850390371: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)
% 3.01/1.46 % (474927)First to succeed.
% 3.01/1.46 % (474927)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-474837"
% 3.01/1.46 % (474921)lrs+10_1_sil=8000:sp=occurrence:random_seed=1854127174:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.01/1.46 % (474920)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2055540407:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.01/1.46 % (474919)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2946792622:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.01/1.46 % (474917)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=3962853315:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.01/1.46 % (474923)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1297134046:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.01/1.46 % (474921)Also succeeded, but the first one will report.
% 3.01/1.46 % (474923)Also succeeded, but the first one will report.
% 3.01/1.46 % (474925)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1367979622:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.01/1.46 % (474925)Also succeeded, but the first one will report.
% 3.01/1.46 % (474927)Refutation found. Thanks to Tanya!
% 3.01/1.46 % SZS status Unsatisfiable for theBenchmark
% 3.01/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.01/1.46 % (474927)------------------------------
% 3.01/1.46 % (474927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.01/1.46 % (474927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.01/1.46 % (474927)CaDiCaL version: 2.1.3
% 3.01/1.46 % (474927)Termination reason: Refutation
% 3.01/1.46 % (474927)Time elapsed: 0.009 s
% 3.01/1.46 % (474927)Peak memory usage: 90 MB
% 3.01/1.46 % (474927)Instructions burned: 24 (million)
% 3.01/1.46 % (474927)------------------------------
% 3.01/1.46 % (474927)------------------------------
% 3.01/1.46 % (474837)Success in time 0.308 s
% 3.01/1.46 % Vampire exiting
%------------------------------------------------------------------------------