%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 02:07:25 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.15s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 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 : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ f(a,z(X0,X1))
| f(z(X0,X1),a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( f(a,z(X0,X1))
| f(X1,z(X0,X1))
| f(X0,z(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( f(a,z(X0,X1))
| f(X1,z(X0,X1))
| ~ f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ f(a,z(X0,X1))
| ~ f(X1,z(X0,X1))
| ~ f(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f8,plain,
! [X0] :
( f(a,z(X0,a))
| ~ f(X0,a) ),
inference(factoring,[],[f5]) ).
fof(f11,plain,
! [X0] :
( ~ f(a,z(X0,a))
| ~ f(X0,a)
| ~ f(X0,a) ),
inference(resolution,[],[f6,f8]) ).
fof(f12,plain,
! [X0] :
( ~ f(a,z(X0,a))
| ~ f(X0,a) ),
inference(duplicate_literal_removal,[],[f11]) ).
fof(f14,plain,
! [X0] : ~ f(X0,a),
inference(forward_subsumption_resolution,[],[f12,f8]) ).
fof(f20,plain,
! [X0,X1] : ~ f(a,z(X0,X1)),
inference(backward_subsumption_resolution,[],[f1,f14]) ).
fof(f21,plain,
! [X0,X1] :
( f(X1,z(X0,X1))
| f(X0,z(X0,X1)) ),
inference(backward_subsumption_resolution,[],[f3,f20]) ).
fof(f25,plain,
! [X0] : f(X0,z(X0,a)),
inference(resolution,[],[f21,f20]) ).
fof(f32,plain,
$false,
inference(resolution,[],[f25,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN350-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 15:47:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.13 Running first-order model finding
% 0.09/0.13 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.15 % (3470371)Will run a generic schedule for satisfiability detection.
% 0.09/0.15 % (3470377)% WARNING: option uhcvi not known.
% 0.09/0.15 % (3470377)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4116647299:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.15 % (3470376)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3580027077_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.15 % (3470382)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2934222013:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.15 % (3470378)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1596088395:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.15 % (3470379)dis+10_1_sil=32000:sp=arity:random_seed=4287125511:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.15 % (3470380)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1261394306:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.15 % (3470381)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3711094038:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.15 % TRYING [1]
% 0.09/0.15 % (3470377) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3470371-3470377"...
% 0.09/0.15 % (3470379) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3470371-3470379"...
% 0.09/0.15 % TRYING [2]
% 0.09/0.15 % (3470382) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3470371-3470382"...
% 0.09/0.15 % (3470380) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3470371-3470380"...
% 0.09/0.15 % TRYING [3]
% 0.09/0.15 % (3470381) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3470371-3470381"...
% 0.09/0.15 % (3470377)...printing done.
% 0.09/0.15 % (3470379)...printing done.
% 0.09/0.15 % TRYING [4]
% 0.09/0.15 % (3470380)...printing done.
% 0.09/0.15 % (3470382)...printing done.
% 0.09/0.15 % (3470378) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3470371-3470378"...
% 0.09/0.15 % (3470381)...printing done.
% 0.09/0.15 % (3470377)Refutation found. Thanks to Tanya!
% 0.09/0.15 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.15 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.15 % (3470377)------------------------------
% 0.09/0.15 % (3470377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.15 % (3470377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.15 % (3470377)CaDiCaL version: 2.1.3
% 0.09/0.15 % (3470377)Termination reason: Refutation
% 0.09/0.15 % (3470377)Time elapsed: 0.001 s
% 0.09/0.15 % (3470377)Peak memory usage: 11 MB
% 0.09/0.15 % (3470377)Instructions burned: 1 (million)
% 0.09/0.15 % (3470371)Success in time 0.023 s
% 0.09/0.15 % Vampire exiting
%------------------------------------------------------------------------------