%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:50:09 PM UTC 2026
% Result : Unsatisfiable 2.79s 0.83s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 16 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p(X3,X1,X2)
| ~ p(X0,X3,X2)
| p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X2,X1,X0)
| p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] :
( ~ p(X1,X0,X2)
| p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X2,X0,X1] :
( p(X0,X1,f(X2))
| ~ p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X2,X0,X1] :
( p(g(X0),X1,X2)
| ~ p(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
p(a,f(b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
p(f(b),d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
~ p(f(g(a)),f(g(d)),f(g(c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f15,plain,
! [X2,X0,X1] :
( p(X1,X0,f(X2))
| ~ p(X0,X1,X2) ),
inference(resolution,[],[f4,f3]) ).
fof(f20,plain,
! [X2,X0,X1] :
( p(X2,X1,g(X0))
| ~ p(X0,X1,X2) ),
inference(resolution,[],[f5,f2]) ).
fof(f23,plain,
~ p(f(g(a)),f(g(d)),g(c)),
inference(resolution,[],[f8,f4]) ).
fof(f31,plain,
! [X0] :
( ~ p(X0,f(b),c)
| p(X0,d,c) ),
inference(resolution,[],[f1,f7]) ).
fof(f63,plain,
~ p(c,f(g(d)),f(g(a))),
inference(resolution,[],[f23,f20]) ).
fof(f71,plain,
~ p(f(g(d)),c,g(a)),
inference(resolution,[],[f63,f15]) ).
fof(f74,plain,
p(a,d,c),
inference(resolution,[],[f31,f6]) ).
fof(f79,plain,
p(d,a,c),
inference(resolution,[],[f74,f3]) ).
fof(f182,plain,
~ p(a,c,f(g(d))),
inference(resolution,[],[f71,f20]) ).
fof(f194,plain,
~ p(c,a,g(d)),
inference(resolution,[],[f182,f15]) ).
fof(f204,plain,
~ p(d,a,c),
inference(resolution,[],[f194,f20]) ).
fof(f205,plain,
$false,
inference(forward_subsumption_resolution,[],[f204,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 15:40:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running first-order theorem proving
% 0.08/0.13 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
% 2.79/0.83 % (3467398)Input is clausal, will run a generic CNF schedule.
% 2.79/0.83 % (3467411)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=1956577056:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 2.79/0.83 % (3467414)lrs+10_1_sil=8000:sp=occurrence:random_seed=171278159:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 2.79/0.83 % (3467416)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3637266498:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 2.79/0.83 % (3467413)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3156256874:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 2.79/0.83 % (3467412)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2248686125:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 2.79/0.83 % (3467415)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1916029105:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 2.79/0.83 % (3467414)First to succeed.
% 2.79/0.83 % (3467414)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3467398"
% 2.79/0.83 % (3467417)dis-21_1_sil=8000:lcm=predicate:random_seed=2018520178:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 2.79/0.83 % (3467415)Also succeeded, but the first one will report.
% 2.79/0.83 % (3467416)Also succeeded, but the first one will report.
% 2.79/0.83 % (3467417)Also succeeded, but the first one will report.
% 2.79/0.83 % (3467414)Refutation found. Thanks to Tanya!
% 2.79/0.83 % SZS status Unsatisfiable for theBenchmark
% 2.79/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/0.83 % (3467414)------------------------------
% 2.79/0.83 % (3467414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/0.83 % (3467414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/0.83 % (3467414)CaDiCaL version: 2.1.3
% 2.79/0.83 % (3467414)Termination reason: Refutation
% 2.79/0.83 % (3467414)Time elapsed: 0.004 s
% 2.79/0.83 % (3467414)Peak memory usage: 88 MB
% 2.79/0.83 % (3467414)Instructions burned: 6 (million)
% 2.79/0.83 % (3467414)------------------------------
% 2.79/0.83 % (3467414)------------------------------
% 2.79/0.83 % (3467398)Success in time 0.353 s
% 2.79/0.83 % Vampire exiting
%------------------------------------------------------------------------------