%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN189-1 : 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 : n018.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 01:49:52 PM UTC 2026
% Result : Unsatisfiable 3.56s 1.25s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 12 unt; 4 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 36 ~; 33 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f131,axiom,
! [X0,X1] :
( q1(X0,X0,X0)
| ~ q0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_093) ).
fof(f162,axiom,
! [X0,X1] :
( r1(X0)
| ~ q0(X0,X1)
| ~ s0(d)
| ~ q1(d,X1,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).
fof(f226,axiom,
! [X0] :
( r2(X0)
| ~ r1(X0)
| ~ l0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_188) ).
fof(f369,negated_conjecture,
~ r2(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f645,definition,
( spl0_81
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f646,plain,
( ~ s0(d)
| spl0_81 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f648,definition,
( spl0_82
<=> ! [X0,X1] :
( r1(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f649,plain,
( ! [X0,X1] :
( ~ q1(d,X1,d)
| r1(X0)
| ~ q0(X0,X1) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f650,plain,
( ~ spl0_81
| spl0_82 ),
inference(avatar_split_clause,[],[f162,f648,f645]) ).
fof(f1312,definition,
( spl0_266
<=> r2(c) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
fof(f1313,plain,
( ~ r2(c)
| spl0_266 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1390,plain,
~ spl0_266,
inference(avatar_split_clause,[],[f369,f1312]) ).
fof(f1393,plain,
( $false
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f646,f1]) ).
fof(f1394,plain,
spl0_81,
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f2064,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X0,d)
| ~ q0(X1,d) )
| ~ spl0_82 ),
inference(resolution,[],[f649,f131]) ).
fof(f2086,plain,
( ! [X0,X1] :
( r1(X0)
| ~ q0(X1,d) )
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f2064,f17]) ).
fof(f2093,definition,
( spl0_300
<=> ! [X0] : r1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
fof(f2094,plain,
( ! [X0] : r1(X0)
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f2093]) ).
fof(f2118,plain,
( ! [X0] : r1(X0)
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f2086,f17]) ).
fof(f2123,plain,
( spl0_300
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f2118,f648,f2093]) ).
fof(f2132,plain,
( ! [X0] :
( r2(X0)
| ~ l0(X0) )
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f226,f2094]) ).
fof(f2137,plain,
( ~ l0(c)
| spl0_266
| ~ spl0_300 ),
inference(resolution,[],[f2132,f1313]) ).
fof(f2138,plain,
( $false
| spl0_266
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f2137,f24]) ).
fof(f2139,plain,
( spl0_266
| ~ spl0_300 ),
inference(avatar_contradiction_clause,[],[f2138]) ).
cnf(s34,plain,
( ~ spl0_81
| spl0_82 ),
inference(sat_conversion,[],[f650]) ).
cnf(s154,plain,
~ spl0_266,
inference(sat_conversion,[],[f1390]) ).
cnf(s156,plain,
spl0_81,
inference(sat_conversion,[],[f1394]) ).
cnf(s314,plain,
( ~ spl0_82
| spl0_300 ),
inference(sat_conversion,[],[f2123]) ).
cnf(s318,plain,
( spl0_266
| ~ spl0_300 ),
inference(sat_conversion,[],[f2139]) ).
cnf(s322,plain,
~ spl0_300,
inference(rat,[],[s318,s154]) ).
cnf(s323,plain,
~ spl0_82,
inference(rat,[],[s314,s322]) ).
cnf(s402,plain,
$false,
inference(rat,[],[s34,s323,s156]) ).
fof(f2142,plain,
$false,
inference(avatar_sat_refutation,[],[s402]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN189-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n018.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:40:10 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 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
% 3.56/1.25 % (3491804)Input is clausal, will run a generic CNF schedule.
% 3.56/1.25 % (3491810)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1130190381:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.56/1.25 % (3491809)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=2705092133:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.56/1.25 % (3491812)lrs+10_1_sil=8000:sp=occurrence:random_seed=2590595481:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.56/1.25 % (3491813)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2936654825:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.56/1.25 % (3491811)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3230381354:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.56/1.25 % (3491814)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1912798825:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.56/1.25 % (3491815)dis-21_1_sil=8000:lcm=predicate:random_seed=3204261954: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)
% 3.56/1.25 % (3491813)First to succeed.
% 3.56/1.25 % (3491813)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3491804"
% 3.56/1.25 % (3491815)Also succeeded, but the first one will report.
% 3.56/1.25 % (3491814)Also succeeded, but the first one will report.
% 3.56/1.25 % (3491812)Instruction limit reached!
% 3.56/1.25 % (3491812)------------------------------
% 3.56/1.25 % (3491812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (3491812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (3491812)CaDiCaL version: 2.1.3
% 3.56/1.25 % (3491812)Termination reason: Instruction limit
% 3.56/1.25 % (3491812)Termination phase: Saturation
% 3.56/1.25 % (3491812)Time elapsed: 0.070 s
% 3.56/1.25 % (3491812)Peak memory usage: 89 MB
% 3.56/1.25 % (3491812)Instructions burned: 108 (million)
% 3.56/1.25 % (3491823)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=616192271:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.56/1.25 % (3491823)Refutation not found, incomplete strategy
% 3.56/1.25 % (3491823)------------------------------
% 3.56/1.25 % (3491823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (3491823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (3491823)CaDiCaL version: 2.1.3
% 3.56/1.25 % (3491823)Termination reason: Refutation not found, incomplete strategy
% 3.56/1.25 % (3491823)Time elapsed: 0.002 s
% 3.56/1.25 % (3491823)Peak memory usage: 87 MB
% 3.56/1.25 % (3491823)Instructions burned: 2 (million)
% 3.56/1.25 % (3491813)Refutation found. Thanks to Tanya!
% 3.56/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.56/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.25 % (3491813)------------------------------
% 3.56/1.25 % (3491813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.25 % (3491813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.25 % (3491813)CaDiCaL version: 2.1.3
% 3.56/1.25 % (3491813)Termination reason: Refutation
% 3.56/1.25 % (3491813)Time elapsed: 0.020 s
% 3.56/1.25 % (3491813)Peak memory usage: 90 MB
% 3.56/1.25 % (3491813)Instructions burned: 31 (million)
% 3.56/1.25 % (3491813)------------------------------
% 3.56/1.25 % (3491813)------------------------------
% 3.56/1.25 % (3491804)Success in time 0.421 s
% 3.56/1.25 % Vampire exiting
%------------------------------------------------------------------------------