%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN333-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:50:15 PM UTC 2026
% Result : Unsatisfiable 3.91s 1.32s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 56 ( 32 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] : f(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( g(X1,X0)
| ~ f(z(X1,X0),z(X1,X0))
| ~ f(X0,z(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ g(z(X1,X0),z(X1,X0))
| ~ f(z(X1,X0),z(X1,X0))
| ~ g(X1,z(X1,X0))
| ~ f(X0,z(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,plain,
! [X0,X1] :
( ~ g(X0,z(X0,X1))
| ~ f(z(X0,X1),z(X0,X1))
| ~ f(X1,z(X0,X1))
| ~ f(z(z(X0,X1),z(X0,X1)),z(z(X0,X1),z(X0,X1)))
| ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
inference(resolution,[],[f3,f2]) ).
fof(f5,plain,
! [X0,X1] :
( ~ f(z(z(X0,X1),z(X0,X1)),z(z(X0,X1),z(X0,X1)))
| ~ f(X1,z(X0,X1))
| ~ f(z(X0,X1),z(X0,X1))
| ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| ~ f(z(X0,z(X0,X1)),z(X0,z(X0,X1)))
| ~ f(z(X0,X1),z(X0,z(X0,X1))) ),
inference(resolution,[],[f4,f2]) ).
fof(f6,plain,
! [X0,X1] :
( ~ f(z(X1,X0),z(z(X1,X0),z(X1,X0)))
| ~ f(z(X1,z(X1,X0)),z(X1,z(X1,X0)))
| ~ f(X0,z(X1,X0))
| ~ f(z(X1,X0),z(X1,X0))
| ~ f(z(X1,X0),z(X1,z(X1,X0))) ),
inference(resolution,[],[f5,f1]) ).
fof(f7,plain,
! [X0,X1] :
( ~ f(z(X0,z(X0,X1)),z(X0,z(X0,X1)))
| ~ f(X1,z(X0,X1))
| ~ f(z(X0,X1),z(X0,X1))
| ~ f(z(X0,X1),z(X0,z(X0,X1))) ),
inference(resolution,[],[f6,f1]) ).
fof(f9,plain,
! [X0,X1] :
( ~ f(z(X1,X0),z(X1,z(X1,X0)))
| ~ f(z(X1,X0),z(X1,X0))
| ~ f(X0,z(X1,X0)) ),
inference(resolution,[],[f7,f1]) ).
fof(f11,plain,
! [X0,X1] :
( ~ f(z(X0,X1),z(X0,X1))
| ~ f(X1,z(X0,X1)) ),
inference(resolution,[],[f9,f1]) ).
fof(f12,plain,
! [X0,X1] : ~ f(X0,z(X1,X0)),
inference(resolution,[],[f11,f1]) ).
fof(f13,plain,
$false,
inference(resolution,[],[f12,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN333-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:45:47 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 3.91/1.32 % (2736929)Input is clausal, will run a generic CNF schedule.
% 3.91/1.32 % (2736950)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=402179463:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.91/1.32 % (2736955)dis-21_1_sil=8000:lcm=predicate:random_seed=1412363892: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)
% 3.91/1.32 % (2736955)First to succeed.
% 3.91/1.32 % (2736955)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2736929"
% 3.91/1.32 % (2736952)lrs+10_1_sil=8000:sp=occurrence:random_seed=162401722:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.91/1.32 % (2736951)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4076590896:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.91/1.32 % (2736949)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=4174392965:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.91/1.32 % (2736952)Also succeeded, but the first one will report.
% 3.91/1.32 % (2736954)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2270227310:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.91/1.32 % (2736954)Also succeeded, but the first one will report.
% 3.91/1.32 % (2736953)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3239577367:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.91/1.32 % (2736953)Also succeeded, but the first one will report.
% 3.91/1.32 % (2736955)Refutation found. Thanks to Tanya!
% 3.91/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.91/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.32 % (2736955)------------------------------
% 3.91/1.32 % (2736955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32 % (2736955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32 % (2736955)CaDiCaL version: 2.1.3
% 3.91/1.32 % (2736955)Termination reason: Refutation
% 3.91/1.32 % (2736955)Time elapsed: 0.002 s
% 3.91/1.32 % (2736955)Peak memory usage: 88 MB
% 3.91/1.32 % (2736955)Instructions burned: 1 (million)
% 3.91/1.32 % (2736955)------------------------------
% 3.91/1.32 % (2736955)------------------------------
% 3.91/1.32 % (2736929)Success in time 0.461 s
% 3.91/1.32 % Vampire exiting
%------------------------------------------------------------------------------