%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN332-1 : 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 : n010.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 01:50:14 PM UTC 2026
% Result : Unsatisfiable 3.44s 1.15s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( f(X0,z(X0,X1))
| f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ f(X0,z(X0,X1))
| ~ f(X1,X0)
| ~ f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( ~ f(z(X0,X1),X0)
| f(X0,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( f(z(X0,X1),X0)
| ~ f(X0,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( f(X1,z(X0,X1))
| ~ f(X0,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
! [X0,X1] :
( ~ f(z(X1,X0),z(X1,X0))
| f(X1,X0)
| ~ f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ f(z(X0,X1),X1)
| f(X1,X0)
| f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f19,plain,
! [X0] :
( ~ f(X0,X0)
| ~ f(X0,X0)
| ~ f(X0,z(X0,X0)) ),
inference(resolution,[],[f3,f7]) ).
fof(f20,plain,
! [X0] :
( ~ f(X0,z(X0,X0))
| ~ f(X0,X0) ),
inference(duplicate_literal_removal,[],[f19]) ).
fof(f27,plain,
! [X0] :
( f(X0,X0)
| f(X0,X0)
| ~ f(X0,z(X0,X0)) ),
inference(resolution,[],[f13,f5]) ).
fof(f32,plain,
! [X0] :
( ~ f(X0,z(X0,X0))
| f(X0,X0) ),
inference(duplicate_literal_removal,[],[f27]) ).
fof(f41,plain,
! [X0] :
( f(X0,X0)
| f(X0,X0) ),
inference(resolution,[],[f32,f1]) ).
fof(f43,plain,
! [X0] : f(X0,X0),
inference(duplicate_literal_removal,[],[f41]) ).
fof(f47,plain,
! [X0,X1] :
( f(X0,X1)
| ~ f(X1,X0) ),
inference(resolution,[],[f43,f8]) ).
fof(f57,plain,
! [X0,X1] :
( ~ f(X0,z(X1,X0))
| f(X0,X1)
| f(X1,X0) ),
inference(resolution,[],[f47,f13]) ).
fof(f72,plain,
! [X0,X1] :
( ~ f(X1,z(X1,X0))
| f(X1,X0)
| f(X0,X1) ),
inference(resolution,[],[f57,f7]) ).
fof(f85,plain,
! [X0,X1] :
( f(X0,X1)
| f(X1,X0)
| f(X0,X1) ),
inference(resolution,[],[f72,f1]) ).
fof(f89,plain,
! [X0,X1] :
( f(X1,X0)
| f(X0,X1) ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f92,plain,
! [X0,X1] :
( f(X0,z(X0,X1))
| f(X0,z(X0,X1)) ),
inference(resolution,[],[f89,f4]) ).
fof(f103,plain,
! [X0,X1] : f(X0,z(X0,X1)),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f107,plain,
! [X0] : ~ f(X0,X0),
inference(resolution,[],[f103,f20]) ).
fof(f112,plain,
$false,
inference(resolution,[],[f107,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN332-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:43:03 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.44/1.15 % (2028101)Input is clausal, will run a generic CNF schedule.
% 3.44/1.15 % (2028108)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2930758163:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.44/1.15 % (2028112)dis-21_1_sil=8000:lcm=predicate:random_seed=3259854840: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)
% 3.44/1.15 % (2028109)lrs+10_1_sil=8000:sp=occurrence:random_seed=2366573145:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.44/1.15 % (2028107)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=638596242:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.44/1.15 % (2028111)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3911441183:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.44/1.15 % (2028112)First to succeed.
% 3.44/1.15 % (2028106)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=2820733893:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.44/1.15 % (2028110)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2044846521:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.44/1.15 % (2028112)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2028101"
% 3.44/1.15 % (2028109)Also succeeded, but the first one will report.
% 3.44/1.15 % (2028110)Also succeeded, but the first one will report.
% 3.44/1.15 % (2028111)Also succeeded, but the first one will report.
% 3.44/1.15 % (2028112)Refutation found. Thanks to Tanya!
% 3.44/1.15 % SZS status Unsatisfiable for theBenchmark
% 3.44/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.15 % (2028112)------------------------------
% 3.44/1.15 % (2028112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.15 % (2028112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.15 % (2028112)CaDiCaL version: 2.1.3
% 3.44/1.15 % (2028112)Termination reason: Refutation
% 3.44/1.15 % (2028112)Time elapsed: 0.003 s
% 3.44/1.15 % (2028112)Peak memory usage: 88 MB
% 3.44/1.15 % (2028112)Instructions burned: 2 (million)
% 3.44/1.15 % (2028112)------------------------------
% 3.44/1.15 % (2028112)------------------------------
% 3.44/1.15 % (2028101)Success in time 0.408 s
% 3.44/1.15 % Vampire exiting
%------------------------------------------------------------------------------