%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV690-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 01:26:15 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f891,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__imp__diff__less_0) ).
fof(f915,negated_conjecture,
c_HOL_Oord__class_Oless(v_k,v_n,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f916,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_k,v_i,tc_nat),v_n,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2161,plain,
! [X0] : c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_k,X0,tc_nat),v_n,tc_nat),
inference(resolution,[],[f891,f915]) ).
fof(f2222,plain,
$false,
inference(backward_subsumption_resolution,[],[f916,f2161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV690-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n008.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 12:16:09 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.21/0.31 % (2213607)Will run a generic schedule for satisfiability detection.
% 0.21/0.31 % (2213618)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4007675835:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.31 % (2213613)% WARNING: option uhcvi not known.
% 0.21/0.31 % (2213612)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=671584678_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.31 % (2213614)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3305819154:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.31 % (2213613)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1593095774:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.31 % (2213617)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1159047215:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.31 % (2213615)dis+10_1_sil=32000:sp=arity:random_seed=2075472942:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.31 % (2213616)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2662018104:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.31 % (2213613) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2213607-2213613"...
% 0.21/0.31 % (2213613)...printing done.
% 0.21/0.31 % (2213613)Refutation found. Thanks to Tanya!
% 0.21/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.31 % (2213613)------------------------------
% 0.21/0.31 % (2213613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (2213613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (2213613)CaDiCaL version: 2.1.3
% 0.21/0.31 % (2213613)Termination reason: Refutation
% 0.21/0.31 % (2213613)Time elapsed: 0.030 s
% 0.21/0.31 % (2213613)Peak memory usage: 13 MB
% 0.21/0.31 % (2213613)Instructions burned: 44 (million)
% 0.21/0.31 % (2213607)Success in time 0.083 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------