%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 02:32:13 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 169 ( 91 ~; 78 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 12 avg)
% Maximal term depth : 6 ( 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 : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f4,axiom,
! [X0] : eq(f(X0),a0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ eq(f(X0),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f6,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6) ),
inference(global_subsumption,[],[f5,f4]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ eq(f(X2),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6) ),
inference(global_subsumption,[],[f6,f4]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ eq(f(X3),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6) ),
inference(global_subsumption,[],[f7,f4]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6) ),
inference(global_subsumption,[],[f8,f4]) ).
fof(f10,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6) ),
inference(global_subsumption,[],[f9,f4]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ eq(f(X6),a0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6) ),
inference(global_subsumption,[],[f10,f4]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ le(s(X5),X6)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X0),X1) ),
inference(global_subsumption,[],[f11,f4]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ le(s(X5),X0)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X0),X1) ),
inference(resolution,[],[f1,f12]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X4] :
( ~ le(s(s(X4)),X0)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X0),X1) ),
inference(resolution,[],[f17,f1]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( ~ le(s(s(s(X3))),X0)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1) ),
inference(resolution,[],[f19,f1]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ le(s(s(s(s(X2)))),X0)
| ~ le(s(X0),X1) ),
inference(resolution,[],[f23,f1]) ).
fof(f35,plain,
! [X0,X1] : ~ le(s(s(s(s(s(X0))))),X1),
inference(resolution,[],[f29,f1]) ).
fof(f38,plain,
$false,
inference(resolution,[],[f35,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n017.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 17:50:51 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 0.08/0.25 % (3826349)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (3826357)dis+10_1_sil=32000:sp=arity:random_seed=4206005259:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.25 % (3826355)% WARNING: option uhcvi not known.
% 0.08/0.25 % (3826354)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3346827049_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.25 % (3826355)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1279009870:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (3826356)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1346022845:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.25 % (3826359)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3701214931:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.25 % (3826360)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2763191673:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.25 % (3826357) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3826349-3826357"...
% 0.08/0.25 % TRYING [1]
% 0.08/0.25 % (3826356) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3826349-3826356"...
% 0.08/0.25 % (3826357)...printing done.
% 0.08/0.25 % TRYING [2]
% 0.08/0.25 % TRYING [3]
% 0.08/0.25 % (3826356)...printing done.
% 0.08/0.25 % (3826356)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (3826356)------------------------------
% 0.08/0.25 % (3826356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (3826356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (3826356)CaDiCaL version: 2.1.3
% 0.08/0.25 % (3826356)Termination reason: Refutation
% 0.08/0.25 % (3826356)Time elapsed: 0.002 s
% 0.08/0.25 % (3826356)Peak memory usage: 11 MB
% 0.08/0.25 % (3826356)Instructions burned: 2 (million)
% 0.08/0.25 % (3826349)Success in time 0.045 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------