%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN168-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:49:49 PM UTC 2026
% Result : Unsatisfiable 3.69s 1.23s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f104,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_066) ).
fof(f219,axiom,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).
fof(f288,axiom,
! [X2,X0,X1] :
( ~ q2(X1,X2,X0)
| ~ k1(X0)
| p3(X0,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_250) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ p3(X0,X1,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f768,plain,
k1(b),
inference(resolution,[],[f39,f15]) ).
fof(f816,plain,
p1(b,b,b),
inference(resolution,[],[f104,f15]) ).
fof(f963,plain,
q2(b,b,b),
inference(resolution,[],[f219,f816]) ).
fof(f1249,plain,
( ~ k1(b)
| p3(b,b,b) ),
inference(resolution,[],[f288,f963]) ).
fof(f1253,plain,
p3(b,b,b),
inference(forward_subsumption_resolution,[],[f1249,f768]) ).
fof(f1257,plain,
$false,
inference(forward_subsumption_resolution,[],[f1253,f369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN168-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n002.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 15:40:07 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.69/1.23 % (462079)Input is clausal, will run a generic CNF schedule.
% 3.69/1.23 % (462086)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3809071734:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.69/1.23 % (462085)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=865491297:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.69/1.23 % (462087)lrs+10_1_sil=8000:sp=occurrence:random_seed=2738139000:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.69/1.23 % (462084)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=1971205565:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.69/1.23 % (462088)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3690962260:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.69/1.23 % (462090)dis-21_1_sil=8000:lcm=predicate:random_seed=1238552984: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)
% 3.69/1.23 % (462087)First to succeed.
% 3.69/1.23 % (462087)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-462079"
% 3.69/1.23 % (462088)Also succeeded, but the first one will report.
% 3.69/1.23 % (462090)Also succeeded, but the first one will report.
% 3.69/1.23 % (462089)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1829988483:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.69/1.23 % (462089)Also succeeded, but the first one will report.
% 3.69/1.23 % (462087)Refutation found. Thanks to Tanya!
% 3.69/1.23 % SZS status Unsatisfiable for theBenchmark
% 3.69/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.23 % (462087)------------------------------
% 3.69/1.23 % (462087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.23 % (462087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.23 % (462087)CaDiCaL version: 2.1.3
% 3.69/1.23 % (462087)Termination reason: Refutation
% 3.69/1.23 % (462087)Time elapsed: 0.011 s
% 3.69/1.23 % (462087)Peak memory usage: 88 MB
% 3.69/1.23 % (462087)Instructions burned: 15 (million)
% 3.69/1.23 % (462087)------------------------------
% 3.69/1.23 % (462087)------------------------------
% 3.69/1.23 % (462079)Success in time 0.45 s
% 3.69/1.23 % Vampire exiting
%------------------------------------------------------------------------------