%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV675-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:19:15 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.19s
% Output : Refutation 2.73s
% 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 : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f975,axiom,
! [X0] : ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__less0_0) ).
fof(f1177,axiom,
! [X0,X1] :
( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
| c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eq__Suc__le_1) ).
fof(f1569,negated_conjecture,
c_lessequals(c_Suc(v_y),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2242,plain,
c_HOL_Oord__class_Oless(v_y,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(resolution,[],[f1177,f1569]) ).
fof(f2251,plain,
$false,
inference(resolution,[],[f2242,f975]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV675-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n018.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 12:15:40 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.73/1.19 % (3336439)Input is clausal, will run a generic CNF schedule.
% 2.73/1.19 % (3336450)dis-21_1_sil=8000:lcm=predicate:random_seed=2992868180: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)
% 2.73/1.19 % (3336450)First to succeed.
% 2.73/1.19 % (3336450)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3336439"
% 2.73/1.19 % (3336449)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2214482848:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.19 % (3336444)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=668730448:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.19 % (3336447)lrs+10_1_sil=8000:sp=occurrence:random_seed=1343391992:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.19 % (3336445)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=406860293:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.19 % (3336448)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1261180214:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.19 % (3336446)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1335344748:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.19 % (3336447)Also succeeded, but the first one will report.
% 2.73/1.19 % (3336448)Also succeeded, but the first one will report.
% 2.73/1.19 % (3336449)Also succeeded, but the first one will report.
% 2.73/1.19 % (3336450)Refutation found. Thanks to Tanya!
% 2.73/1.19 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.19 % (3336450)------------------------------
% 2.73/1.19 % (3336450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.19 % (3336450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.19 % (3336450)CaDiCaL version: 2.1.3
% 2.73/1.19 % (3336450)Termination reason: Refutation
% 2.73/1.19 % (3336450)Time elapsed: 0.011 s
% 2.73/1.19 % (3336450)Peak memory usage: 89 MB
% 2.73/1.19 % (3336450)Instructions burned: 37 (million)
% 2.73/1.19 % (3336450)------------------------------
% 2.73/1.19 % (3336450)------------------------------
% 2.73/1.19 % (3336439)Success in time 0.347 s
% 2.73/1.19 % Vampire exiting
%------------------------------------------------------------------------------