%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO611-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:28:26 PM UTC 2026
% Result : Unsatisfiable 3.44s 1.17s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f4,axiom,
! [X0] : eq(f(X0),a0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X0,X1] :
( ~ eq(f(X0),a0)
| ~ eq(f(X1),a0)
| ~ le(s(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f6,plain,
! [X0,X1] :
( ~ eq(f(X1),a0)
| ~ le(s(X0),X1) ),
inference(forward_subsumption_resolution,[],[f5,f4]) ).
fof(f7,plain,
! [X0,X1] : ~ le(s(X0),X1),
inference(forward_subsumption_resolution,[],[f6,f4]) ).
fof(f8,plain,
$false,
inference(resolution,[],[f7,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO611-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n004.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 17:55:07 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 3.44/1.17 % (597287)Input is clausal, will run a generic CNF schedule.
% 3.44/1.17 % (597294)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=347022351:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.44/1.17 % (597297)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4199054961:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.44/1.17 % (597296)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=289285486:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.44/1.17 % (597292)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=3957347571:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.44/1.17 % (597293)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=798594941:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.44/1.17 % (597295)lrs+10_1_sil=8000:sp=occurrence:random_seed=43368611:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.44/1.17 % (597298)dis-21_1_sil=8000:lcm=predicate:random_seed=1538095268: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)
% 3.44/1.17 % (597296)Refutation not found, incomplete strategy
% 3.44/1.17 % (597296)------------------------------
% 3.44/1.17 % (597296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.17 % (597295)Refutation not found, incomplete strategy
% 3.44/1.17 % (597295)------------------------------
% 3.44/1.17 % (597295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.17 % (597296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.17 % (597295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.17 % (597296)CaDiCaL version: 2.1.3
% 3.44/1.17 % (597295)CaDiCaL version: 2.1.3
% 3.44/1.17 % (597296)Termination reason: Refutation not found, incomplete strategy
% 3.44/1.17 % (597296)Time elapsed: 0.0000 s
% 3.44/1.17 % (597295)Termination reason: Refutation not found, incomplete strategy
% 3.44/1.17 % (597295)Time elapsed: 0.0000 s
% 3.44/1.17 % (597295)Peak memory usage: 86 MB
% 3.44/1.17 % (597296)Peak memory usage: 86 MB
% 3.44/1.17 % (597297)First to succeed.
% 3.44/1.17 % (597298)Also succeeded, but the first one will report.
% 3.44/1.17 % (597297)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-597287"
% 3.44/1.17 % (597296)------------------------------
% 3.44/1.17 % (597296)------------------------------
% 3.44/1.17 % (597295)------------------------------
% 3.44/1.17 % (597295)------------------------------
% 3.44/1.17 % (597297)Refutation found. Thanks to Tanya!
% 3.44/1.17 % SZS status Unsatisfiable for theBenchmark
% 3.44/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.17 % (597297)------------------------------
% 3.44/1.17 % (597297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.17 % (597297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.17 % (597297)CaDiCaL version: 2.1.3
% 3.44/1.17 % (597297)Termination reason: Refutation
% 3.44/1.17 % (597297)Time elapsed: 0.001 s
% 3.44/1.17 % (597297)Peak memory usage: 88 MB
% 3.44/1.17 % (597297)------------------------------
% 3.44/1.17 % (597297)------------------------------
% 3.44/1.17 % (597287)Success in time 0.412 s
% 3.44/1.17 % Vampire exiting
%------------------------------------------------------------------------------