%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN123-1 : 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 : n007.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 01:49:43 PM UTC 2026
% Result : Unsatisfiable 2.77s 1.17s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 11 unt; 4 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 80 ( 42 ~; 34 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 32 !; 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(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f163,axiom,
! [X0] :
( ~ p0(X0,X0)
| s1(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(f171,axiom,
! [X2,X3,X0,X1] :
( l2(X0,X0)
| ~ p0(X1,X1)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_133) ).
fof(f369,negated_conjecture,
~ l2(d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f474,definition,
( spl0_31
<=> ! [X1] : ~ s1(X1) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f475,plain,
( ! [X1] : ~ s1(X1)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f710,definition,
( spl0_100
<=> ! [X0,X1] :
( s1(X0)
| ~ q0(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f711,plain,
( ! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f712,plain,
( spl0_31
| spl0_100 ),
inference(avatar_split_clause,[],[f164,f710,f474]) ).
fof(f885,definition,
( spl0_148
<=> ! [X2] : ~ p0(X2,X2) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f886,plain,
( ! [X2] : ~ p0(X2,X2)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f1333,definition,
( spl0_272
<=> ! [X2,X0,X3] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
fof(f1334,plain,
( ! [X2,X3,X0] :
( l2(X0,X0)
| ~ s1(X2)
| ~ m0(X3,X2,X0) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1335,plain,
( spl0_148
| spl0_272 ),
inference(avatar_split_clause,[],[f171,f1333,f885]) ).
fof(f1421,plain,
( $false
| ~ spl0_148 ),
inference(resolution,[],[f886,f14]) ).
fof(f1422,plain,
~ spl0_148,
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1501,plain,
( ! [X0] : ~ p0(X0,X0)
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f163,f475]) ).
fof(f1502,plain,
( spl0_148
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1501,f474,f885]) ).
fof(f1508,plain,
( ! [X0] : s1(X0)
| ~ spl0_100 ),
inference(resolution,[],[f711,f17]) ).
fof(f1642,plain,
( ! [X2,X3,X0] :
( ~ m0(X3,X2,X0)
| l2(X0,X0) )
| ~ spl0_100
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f1334,f1508]) ).
fof(f1746,plain,
( ! [X0] : l2(X0,X0)
| ~ spl0_100
| ~ spl0_272 ),
inference(resolution,[],[f1642,f19]) ).
fof(f1767,plain,
( $false
| ~ spl0_100
| ~ spl0_272 ),
inference(resolution,[],[f1746,f369]) ).
fof(f1769,plain,
( ~ spl0_100
| ~ spl0_272 ),
inference(avatar_contradiction_clause,[],[f1767]) ).
cnf(s42,plain,
( spl0_31
| spl0_100 ),
inference(sat_conversion,[],[f712]) ).
cnf(s144,plain,
( spl0_148
| spl0_272 ),
inference(sat_conversion,[],[f1335]) ).
cnf(s169,plain,
~ spl0_148,
inference(sat_conversion,[],[f1422]) ).
cnf(s204,plain,
( ~ spl0_31
| spl0_148 ),
inference(sat_conversion,[],[f1502]) ).
cnf(s266,plain,
( ~ spl0_100
| ~ spl0_272 ),
inference(sat_conversion,[],[f1769]) ).
cnf(s269,plain,
~ spl0_31,
inference(rat,[],[s204,s169]) ).
cnf(s271,plain,
spl0_272,
inference(rat,[],[s144,s169]) ).
cnf(s272,plain,
~ spl0_100,
inference(rat,[],[s266,s271]) ).
cnf(s345,plain,
$false,
inference(rat,[],[s42,s272,s269]) ).
fof(f1773,plain,
$false,
inference(avatar_sat_refutation,[],[s345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN123-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n007.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:34:10 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.77/1.17 % (2496004)Input is clausal, will run a generic CNF schedule.
% 2.77/1.17 % (2496013)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3438570936:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.77/1.17 % (2496013)First to succeed.
% 2.77/1.17 % (2496013)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2496004"
% 2.77/1.17 % (2496011)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=323835681:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.77/1.17 % (2496010)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4065828335:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.77/1.17 % (2496009)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=1498454907:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.77/1.17 % (2496012)lrs+10_1_sil=8000:sp=occurrence:random_seed=432087302:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.77/1.17 % (2496015)dis-21_1_sil=8000:lcm=predicate:random_seed=68769087: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)
% 2.77/1.17 % (2496014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3050401696:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.77/1.17 % (2496012)Also succeeded, but the first one will report.
% 2.77/1.17 % (2496014)Also succeeded, but the first one will report.
% 2.77/1.17 % (2496015)Also succeeded, but the first one will report.
% 2.77/1.17 % (2496013)Refutation found. Thanks to Tanya!
% 2.77/1.17 % SZS status Unsatisfiable for theBenchmark
% 2.77/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.17 % (2496013)------------------------------
% 2.77/1.17 % (2496013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.17 % (2496013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.17 % (2496013)CaDiCaL version: 2.1.3
% 2.77/1.17 % (2496013)Termination reason: Refutation
% 2.77/1.17 % (2496013)Time elapsed: 0.009 s
% 2.77/1.17 % (2496013)Peak memory usage: 90 MB
% 2.77/1.17 % (2496013)Instructions burned: 24 (million)
% 2.77/1.17 % (2496013)------------------------------
% 2.77/1.17 % (2496013)------------------------------
% 2.77/1.17 % (2496004)Success in time 0.305 s
% 2.77/1.17 % Vampire exiting
%------------------------------------------------------------------------------