%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN112-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 02:06:47 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_30) ).
fof(f40,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_002) ).
fof(f168,axiom,
( k2(e,e)
| ~ l1(e,e) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_130) ).
fof(f369,negated_conjecture,
! [X0] : ~ k2(e,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f467,plain,
l1(e,e),
inference(resolution,[],[f40,f30]) ).
fof(f492,plain,
~ l1(e,e),
inference(forward_subsumption_resolution,[],[f168,f369]) ).
fof(f495,plain,
$false,
inference(global_subsumption,[],[f492,f467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN112-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n006.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
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 15:34:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.30 % (4057684)Will run a generic schedule for satisfiability detection.
% 0.21/0.30 % (4057697)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=66143803_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.30 % (4057698)% WARNING: option uhcvi not known.
% 0.21/0.30 % (4057700)dis+10_1_sil=32000:sp=arity:random_seed=2186664815:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.30 % (4057698)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2471576774:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.30 % (4057699)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3621252634:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.30 % (4057701)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3618157384:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.30 % (4057702)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1735151537:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.30 % (4057703)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1780426473:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.30 % Detected minimum model sizes of [1]
% 0.21/0.30 % Detected maximum model sizes of [5]
% 0.21/0.30 % TRYING [1]
% 0.21/0.30 % TRYING [2]
% 0.21/0.30 % (4057697) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4057684-4057697"...
% 0.21/0.30 % (4057699) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4057684-4057699"...
% 0.21/0.30 % (4057700) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4057684-4057700"...
% 0.21/0.30 % (4057699)...printing done.
% 0.21/0.30 % (4057698) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4057684-4057698"...
% 0.21/0.30 % (4057699)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.30 % (4057699)------------------------------
% 0.21/0.30 % (4057699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (4057699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (4057699)CaDiCaL version: 2.1.3
% 0.21/0.30 % (4057699)Termination reason: Refutation
% 0.21/0.30 % (4057699)Time elapsed: 0.008 s
% 0.21/0.30 % (4057699)Peak memory usage: 12 MB
% 0.21/0.30 % (4057699)Instructions burned: 11 (million)
% 0.21/0.30 % (4057684)Success in time 0.054 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------