%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN328-1 : 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 : n020.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 01:50:13 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.15s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 49 ( 23 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] :
( f(y(X0))
| f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0] :
( ~ g(y(X0))
| f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0] :
( h(y(X0))
| ~ f(y(X0))
| ~ g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f6,negated_conjecture,
! [X0] :
( ~ h(y(X0))
| g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f9,negated_conjecture,
! [X0] :
( g(y(X0))
| ~ f(y(X0))
| h(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f10,negated_conjecture,
! [X0] :
( ~ h(y(X0))
| h(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f11,negated_conjecture,
! [X0] :
( ~ h(z(X0))
| ~ g(z(X0))
| ~ f(z(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f13,plain,
! [X0] :
( ~ f(y(X0))
| ~ g(X0)
| h(X0) ),
inference(resolution,[],[f4,f10]) ).
fof(f23,plain,
! [X0] :
( ~ f(y(X0))
| h(X0)
| f(X0) ),
inference(resolution,[],[f9,f3]) ).
fof(f24,plain,
! [X0] :
( h(X0)
| f(X0) ),
inference(forward_subsumption_resolution,[],[f23,f2]) ).
fof(f25,plain,
! [X0] :
( f(y(X0))
| h(X0) ),
inference(resolution,[],[f24,f10]) ).
fof(f30,plain,
! [X0] :
( h(X0)
| ~ g(X0)
| h(X0) ),
inference(resolution,[],[f25,f13]) ).
fof(f31,plain,
! [X0] :
( h(X0)
| ~ g(X0) ),
inference(duplicate_literal_removal,[],[f30]) ).
fof(f35,plain,
! [X0] :
( ~ g(y(X0))
| h(X0) ),
inference(resolution,[],[f31,f10]) ).
fof(f37,plain,
! [X0] :
( ~ g(z(X0))
| ~ g(z(X0))
| ~ f(z(X0)) ),
inference(resolution,[],[f31,f11]) ).
fof(f38,plain,
! [X0] :
( ~ g(z(X0))
| ~ f(z(X0)) ),
inference(duplicate_literal_removal,[],[f37]) ).
fof(f46,plain,
! [X0] :
( h(X0)
| ~ f(y(X0))
| h(X0) ),
inference(resolution,[],[f35,f9]) ).
fof(f48,plain,
! [X0] :
( h(X0)
| ~ f(y(X0)) ),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f50,plain,
! [X0] : h(X0),
inference(forward_subsumption_resolution,[],[f48,f25]) ).
fof(f53,plain,
! [X0] : g(X0),
inference(resolution,[],[f50,f6]) ).
fof(f65,plain,
! [X0] : f(X0),
inference(resolution,[],[f53,f3]) ).
fof(f68,plain,
! [X0] : ~ f(z(X0)),
inference(forward_subsumption_resolution,[],[f38,f53]) ).
fof(f69,plain,
$false,
inference(forward_subsumption_resolution,[],[f68,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN328-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:43:04 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 2.72/1.15 % (261109)Input is clausal, will run a generic CNF schedule.
% 2.72/1.15 % (261118)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2986021951:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.72/1.15 % (261118)First to succeed.
% 2.72/1.15 % (261118)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-261109"
% 2.72/1.15 % (261114)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=4101331774:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.72/1.15 % (261116)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=592625240:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.72/1.15 % (261117)lrs+10_1_sil=8000:sp=occurrence:random_seed=3244295300:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.72/1.15 % (261115)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3257077734:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.72/1.15 % (261117)Also succeeded, but the first one will report.
% 2.72/1.15 % (261119)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3090051262:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.72/1.15 % (261120)dis-21_1_sil=8000:lcm=predicate:random_seed=1004901736: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)
% 2.72/1.15 % (261119)Also succeeded, but the first one will report.
% 2.72/1.15 % (261120)Also succeeded, but the first one will report.
% 2.72/1.15 % (261118)Refutation found. Thanks to Tanya!
% 2.72/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.15 % (261118)------------------------------
% 2.72/1.15 % (261118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.15 % (261118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.15 % (261118)CaDiCaL version: 2.1.3
% 2.72/1.15 % (261118)Termination reason: Refutation
% 2.72/1.15 % (261118)Time elapsed: 0.001 s
% 2.72/1.15 % (261118)Peak memory usage: 88 MB
% 2.72/1.15 % (261118)Instructions burned: 1 (million)
% 2.72/1.15 % (261118)------------------------------
% 2.72/1.15 % (261118)------------------------------
% 2.72/1.15 % (261109)Success in time 0.296 s
% 2.72/1.15 % Vampire exiting
%------------------------------------------------------------------------------