%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN285-1 : 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 01:50:06 PM UTC 2026
% Result : Unsatisfiable 2.54s 1.12s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 14 unt; 3 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 42 ~; 29 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 4 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f17,axiom,
! [X0] : q0(X0,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f137,axiom,
! [X2,X0,X1] :
( q1(X0,X1,X1)
| ~ k0(X2)
| ~ l0(X0)
| ~ q1(X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_099) ).
fof(f147,axiom,
! [X2,X0,X1] :
( q1(X0,X0,X1)
| ~ p0(X2,X2)
| ~ q0(X1,X0)
| ~ k1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_109) ).
fof(f369,negated_conjecture,
~ q1(a,d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f891,definition,
( spl0_150
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f892,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f1176,definition,
( spl0_229
<=> ! [X0,X1] :
( q1(X0,X0,X1)
| ~ k1(X0)
| ~ q0(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
fof(f1177,plain,
( ! [X0,X1] :
( q1(X0,X0,X1)
| ~ k1(X0)
| ~ q0(X1,X0) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1178,plain,
( spl0_150
| spl0_229 ),
inference(avatar_split_clause,[],[f147,f1176,f891]) ).
fof(f1415,plain,
( $false
| ~ spl0_150 ),
inference(resolution,[],[f892,f14]) ).
fof(f1416,plain,
~ spl0_150,
inference(avatar_contradiction_clause,[],[f1415]) ).
fof(f1483,plain,
k1(d),
inference(resolution,[],[f39,f34]) ).
fof(f2557,plain,
! [X0] :
( ~ k0(X0)
| ~ l0(a)
| ~ q1(d,d,X0) ),
inference(resolution,[],[f137,f369]) ).
fof(f2562,plain,
! [X0] :
( ~ q1(d,d,X0)
| ~ k0(X0) ),
inference(forward_subsumption_resolution,[],[f2557,f20]) ).
fof(f2575,plain,
( ! [X0] :
( ~ k0(X0)
| ~ k1(d)
| ~ q0(X0,d) )
| ~ spl0_229 ),
inference(resolution,[],[f2562,f1177]) ).
fof(f2584,plain,
( ! [X0] :
( ~ k0(X0)
| ~ q0(X0,d) )
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f2575,f1483]) ).
fof(f2596,plain,
( ! [X0] : ~ k0(X0)
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f2584,f17]) ).
fof(f2600,definition,
( spl0_332
<=> ! [X0] : ~ k0(X0) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
fof(f2601,plain,
( ! [X0] : ~ k0(X0)
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f2600]) ).
fof(f2604,plain,
( spl0_332
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f2596,f1176,f2600]) ).
fof(f2607,plain,
( $false
| ~ spl0_332 ),
inference(resolution,[],[f2601,f28]) ).
fof(f2610,plain,
~ spl0_332,
inference(avatar_contradiction_clause,[],[f2607]) ).
cnf(s117,plain,
( spl0_150
| spl0_229 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s166,plain,
~ spl0_150,
inference(sat_conversion,[],[f1416]) ).
cnf(s369,plain,
( ~ spl0_229
| spl0_332 ),
inference(sat_conversion,[],[f2604]) ).
cnf(s371,plain,
~ spl0_332,
inference(sat_conversion,[],[f2610]) ).
cnf(s372,plain,
~ spl0_229,
inference(rat,[],[s369,s371]) ).
cnf(s410,plain,
$false,
inference(rat,[],[s117,s372,s166]) ).
fof(f2611,plain,
$false,
inference(avatar_sat_refutation,[],[s410]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN285-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.24 % Computer : n018.cluster.edu
% 0.13/0.24 % Model : x86_64 x86_64
% 0.13/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.24 % Memory : 8046.5625MB
% 0.13/0.24 % OS : Linux 6.8.0-71-generic
% 0.13/0.24 % CPULimit : 300
% 0.13/0.24 % WCLimit : 300
% 0.13/0.24 % DateTime : Mon Sep 28 15:42:55 UTC 2026
% 0.13/0.25 % CPUTime :
% 0.13/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.29 Running first-order theorem proving
% 0.27/0.29 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
% 2.54/1.12 % (3498508)Input is clausal, will run a generic CNF schedule.
% 2.54/1.12 % (3498572)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=841265465:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.54/1.12 % (3498572)First to succeed.
% 2.54/1.12 % (3498572)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3498508"
% 2.54/1.12 % (3498567)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=1402690849:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.54/1.12 % (3498571)lrs+10_1_sil=8000:sp=occurrence:random_seed=4063792667:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.54/1.12 % (3498569)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2899863477:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.54/1.12 % (3498571)Refutation not found, incomplete strategy
% 2.54/1.12 % (3498571)------------------------------
% 2.54/1.12 % (3498571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.12 % (3498571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.12 % (3498571)CaDiCaL version: 2.1.3
% 2.54/1.12 % (3498571)Termination reason: Refutation not found, incomplete strategy
% 2.54/1.12 % (3498571)Time elapsed: 0.003 s
% 2.54/1.12 % (3498571)Peak memory usage: 88 MB
% 2.54/1.12 % (3498571)Instructions burned: 2 (million)
% 2.54/1.12 % (3498568)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1043272361:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.54/1.12 % (3498576)dis-21_1_sil=8000:lcm=predicate:random_seed=1526025749: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)
% 2.54/1.12 % (3498574)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1075341825:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.54/1.12 % (3498574)Also succeeded, but the first one will report.
% 2.54/1.12 % (3498576)Instruction limit reached!
% 2.54/1.12 % (3498576)------------------------------
% 2.54/1.12 % (3498576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.12 % (3498576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.12 % (3498576)CaDiCaL version: 2.1.3
% 2.54/1.12 % (3498576)Termination reason: Instruction limit
% 2.54/1.12 % (3498576)Termination phase: Saturation
% 2.54/1.12 % (3498576)Time elapsed: 0.056 s
% 2.54/1.12 % (3498576)Peak memory usage: 89 MB
% 2.54/1.12 % (3498576)Instructions burned: 117 (million)
% 2.54/1.12 % (3498572)Refutation found. Thanks to Tanya!
% 2.54/1.12 % SZS status Unsatisfiable for theBenchmark
% 2.54/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.12 % (3498572)------------------------------
% 2.54/1.12 % (3498572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.12 % (3498572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.12 % (3498572)CaDiCaL version: 2.1.3
% 2.54/1.12 % (3498572)Termination reason: Refutation
% 2.54/1.12 % (3498572)Time elapsed: 0.015 s
% 2.54/1.12 % (3498572)Peak memory usage: 90 MB
% 2.54/1.12 % (3498572)Instructions burned: 41 (million)
% 2.54/1.12 % (3498572)------------------------------
% 2.54/1.12 % (3498572)------------------------------
% 2.54/1.12 % (3498508)Success in time 0.276 s
% 2.54/1.12 % Vampire exiting
%------------------------------------------------------------------------------