%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN151-1 : 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 : n026.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 01:49:47 PM UTC 2026
% Result : Unsatisfiable 2.92s 1.58s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 8 unt; 2 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f110,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ s0(X1)
| ~ s0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_072) ).
fof(f175,axiom,
! [X2,X0,X1] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f369,negated_conjecture,
~ n2(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f526,definition,
( spl0_36
<=> ! [X1] : ~ s0(X1) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f527,plain,
( ! [X1] : ~ s0(X1)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f529,definition,
( spl0_37
<=> ! [X0] :
( p1(X0,X0,X0)
| ~ s0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f530,plain,
( ! [X0] :
( p1(X0,X0,X0)
| ~ s0(X0) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( spl0_36
| spl0_37 ),
inference(avatar_split_clause,[],[f110,f529,f526]) ).
fof(f865,plain,
( $false
| ~ spl0_36 ),
inference(resolution,[],[f527,f1]) ).
fof(f868,plain,
~ spl0_36,
inference(avatar_contradiction_clause,[],[f865]) ).
fof(f954,plain,
( ! [X0] :
( ~ s0(X0)
| n2(X0) )
| ~ spl0_37 ),
inference(resolution,[],[f530,f175]) ).
fof(f958,plain,
( n2(d)
| ~ spl0_37 ),
inference(resolution,[],[f954,f1]) ).
fof(f960,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f958,f369]) ).
fof(f961,plain,
~ spl0_37,
inference(avatar_contradiction_clause,[],[f960]) ).
cnf(s22,plain,
( spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f531]) ).
cnf(s71,plain,
~ spl0_36,
inference(sat_conversion,[],[f868]) ).
cnf(s100,plain,
~ spl0_37,
inference(sat_conversion,[],[f961]) ).
cnf(s120,plain,
$false,
inference(rat,[],[s22,s100,s71]) ).
fof(f962,plain,
$false,
inference(avatar_sat_refutation,[],[s120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN151-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.31 % Computer : n026.cluster.edu
% 0.28/0.31 % Model : x86_64 x86_64
% 0.28/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.31 % Memory : 8046.5625MB
% 0.28/0.31 % OS : Linux 6.8.0-71-generic
% 0.28/0.32 % CPULimit : 300
% 0.28/0.32 % WCLimit : 300
% 0.28/0.32 % DateTime : Mon Sep 28 15:39:27 UTC 2026
% 0.28/0.32 % CPUTime :
% 0.28/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.38 Running first-order theorem proving
% 0.28/0.38 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
% 2.92/1.58 % (3949581)Input is clausal, will run a generic CNF schedule.
% 2.92/1.58 % (3949598)lrs+10_1_sil=8000:sp=occurrence:random_seed=74910881:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.92/1.58 % (3949598)First to succeed.
% 2.92/1.58 % (3949598)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3949581"
% 2.92/1.58 % (3949596)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3968212249:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.92/1.58 % (3949597)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1271723878:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.92/1.58 % (3949595)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=1969614720:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.92/1.58 % (3949600)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2455540021:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.92/1.58 % (3949599)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3544020992:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.92/1.58 % (3949601)dis-21_1_sil=8000:lcm=predicate:random_seed=2880332194: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)
% 2.92/1.58 % (3949599)Also succeeded, but the first one will report.
% 2.92/1.58 % (3949600)Also succeeded, but the first one will report.
% 2.92/1.58 % (3949601)Also succeeded, but the first one will report.
% 2.92/1.58 % (3949598)Refutation found. Thanks to Tanya!
% 2.92/1.58 % SZS status Unsatisfiable for theBenchmark
% 2.92/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 2.92/1.58 % (3949598)------------------------------
% 2.92/1.58 % (3949598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.58 % (3949598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.58 % (3949598)CaDiCaL version: 2.1.3
% 2.92/1.58 % (3949598)Termination reason: Refutation
% 2.92/1.58 % (3949598)Time elapsed: 0.005 s
% 2.92/1.58 % (3949598)Peak memory usage: 89 MB
% 2.92/1.58 % (3949598)Instructions burned: 11 (million)
% 2.92/1.58 % (3949598)------------------------------
% 2.92/1.58 % (3949598)------------------------------
% 2.92/1.58 % (3949581)Success in time 0.275 s
% 2.92/1.58 % Vampire exiting
%------------------------------------------------------------------------------