%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN293-1 : 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 : n020.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 01:50:07 PM UTC 2026
% Result : Unsatisfiable 4.09s 1.67s
% Output : Refutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 12 unt; 4 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 29 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 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(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
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(d,d,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f559,definition,
( spl0_49
<=> n0(c,d) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f560,plain,
( n0(c,d)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f1033,definition,
( spl0_168
<=> k1(d) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1034,plain,
( k1(d)
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1035,plain,
( ~ k1(d)
| spl0_168 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1141,definition,
( spl0_194
<=> ! [X1] : ~ p0(X1,X1) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
fof(f1142,plain,
( ! [X1] : ~ p0(X1,X1)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1220,definition,
( spl0_213
<=> ! [X0,X1] :
( q1(X0,X0,X1)
| ~ k1(X0)
| ~ q0(X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
fof(f1221,plain,
( ! [X0,X1] :
( q1(X0,X0,X1)
| ~ k1(X0)
| ~ q0(X1,X0) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1222,plain,
( spl0_194
| spl0_213 ),
inference(avatar_split_clause,[],[f147,f1220,f1141]) ).
fof(f1554,plain,
spl0_49,
inference(avatar_split_clause,[],[f34,f559]) ).
fof(f1581,plain,
( $false
| ~ spl0_194 ),
inference(resolution,[],[f1142,f14]) ).
fof(f1582,plain,
~ spl0_194,
inference(avatar_contradiction_clause,[],[f1581]) ).
fof(f1643,plain,
( ! [X0] : ~ n0(X0,d)
| spl0_168 ),
inference(resolution,[],[f39,f1035]) ).
fof(f1648,plain,
( $false
| ~ spl0_49
| spl0_168 ),
inference(resolution,[],[f1643,f560]) ).
fof(f1649,plain,
( ~ spl0_49
| spl0_168 ),
inference(avatar_contradiction_clause,[],[f1648]) ).
fof(f1724,plain,
( ~ k1(d)
| ~ q0(a,d)
| ~ spl0_213 ),
inference(resolution,[],[f1221,f369]) ).
fof(f1733,plain,
( ~ q0(a,d)
| ~ spl0_168
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f1724,f1034]) ).
fof(f1735,plain,
( $false
| ~ spl0_168
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[],[f1733,f17]) ).
fof(f1736,plain,
( ~ spl0_168
| ~ spl0_213 ),
inference(avatar_contradiction_clause,[],[f1735]) ).
cnf(s101,plain,
( spl0_194
| spl0_213 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s154,plain,
spl0_49,
inference(sat_conversion,[],[f1554]) ).
cnf(s175,plain,
~ spl0_194,
inference(sat_conversion,[],[f1582]) ).
cnf(s200,plain,
( ~ spl0_49
| spl0_168 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s221,plain,
( ~ spl0_168
| ~ spl0_213 ),
inference(sat_conversion,[],[f1736]) ).
cnf(s229,plain,
spl0_168,
inference(rat,[],[s200,s154]) ).
cnf(s230,plain,
~ spl0_213,
inference(rat,[],[s221,s229]) ).
cnf(s267,plain,
$false,
inference(rat,[],[s101,s230,s175]) ).
fof(f1737,plain,
$false,
inference(avatar_sat_refutation,[],[s267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN293-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.27 % Computer : n020.cluster.edu
% 0.12/0.27 % Model : x86_64 x86_64
% 0.12/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.27 % Memory : 8046.5625MB
% 0.12/0.27 % OS : Linux 6.8.0-71-generic
% 0.12/0.27 % CPULimit : 300
% 0.12/0.27 % WCLimit : 300
% 0.12/0.27 % DateTime : Mon Sep 28 15:41:20 UTC 2026
% 0.12/0.28 % CPUTime :
% 0.12/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.34 Running first-order theorem proving
% 0.26/0.34 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
% 4.09/1.67 % (258138)Input is clausal, will run a generic CNF schedule.
% 4.09/1.67 % (258163)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=417608145:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.09/1.67 % (258171)dis-21_1_sil=8000:lcm=predicate:random_seed=2746795873: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)
% 4.09/1.67 % (258164)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2168322569:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.09/1.67 % (258165)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2079509222:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.09/1.67 % (258167)lrs+10_1_sil=8000:sp=occurrence:random_seed=3455550241:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.09/1.67 % (258169)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2753466992:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.09/1.67 % (258170)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=697810942:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.09/1.67 % (258167)Refutation not found, incomplete strategy
% 4.09/1.67 % (258167)------------------------------
% 4.09/1.67 % (258167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.67 % (258167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.67 % (258167)CaDiCaL version: 2.1.3
% 4.09/1.67 % (258167)Termination reason: Refutation not found, incomplete strategy
% 4.09/1.67 % (258167)Time elapsed: 0.003 s
% 4.09/1.67 % (258167)Peak memory usage: 88 MB
% 4.09/1.67 % (258167)Instructions burned: 2 (million)
% 4.09/1.67 % (258170)First to succeed.
% 4.09/1.67 % (258170)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-258138"
% 4.09/1.67 % (258171)Also succeeded, but the first one will report.
% 4.09/1.67 % (258169)Also succeeded, but the first one will report.
% 4.09/1.67 % (258167)------------------------------
% 4.09/1.67 % (258167)------------------------------
% 4.09/1.67 % (258170)Refutation found. Thanks to Tanya!
% 4.09/1.67 % SZS status Unsatisfiable for theBenchmark
% 4.09/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 4.09/1.67 % (258170)------------------------------
% 4.09/1.67 % (258170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.67 % (258170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.67 % (258170)CaDiCaL version: 2.1.3
% 4.09/1.67 % (258170)Termination reason: Refutation
% 4.09/1.67 % (258170)Time elapsed: 0.014 s
% 4.09/1.67 % (258170)Peak memory usage: 90 MB
% 4.09/1.67 % (258170)Instructions burned: 20 (million)
% 4.09/1.67 % (258170)------------------------------
% 4.09/1.67 % (258170)------------------------------
% 4.09/1.67 % (258138)Success in time 0.457 s
% 4.09/1.67 % Vampire exiting
%------------------------------------------------------------------------------