%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO612-1 : 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 : n019.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 3.47s 1.23s
% Output : Refutation 3.47s
% 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/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,
! [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/sandbox2/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(forward_subsumption_resolution,[],[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(forward_subsumption_resolution,[],[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(forward_subsumption_resolution,[],[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(forward_subsumption_resolution,[],[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(forward_subsumption_resolution,[],[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(forward_subsumption_resolution,[],[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(forward_subsumption_resolution,[],[f11,f4]) ).
fof(f13,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,[],[f12,f1]) ).
fof(f21,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,[],[f13,f1]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( ~ le(s(s(s(X3))),X0)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1) ),
inference(resolution,[],[f21,f1]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ le(s(s(s(s(X2)))),X0)
| ~ le(s(X0),X1) ),
inference(resolution,[],[f70,f1]) ).
fof(f231,plain,
! [X0,X1] : ~ le(s(s(s(s(s(X0))))),X1),
inference(resolution,[],[f117,f1]) ).
fof(f235,plain,
$false,
inference(resolution,[],[f231,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n019.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 17:55:34 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 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
% 3.47/1.23 % (46875)Input is clausal, will run a generic CNF schedule.
% 3.47/1.23 % (46886)dis-21_1_sil=8000:lcm=predicate:random_seed=3951112764: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)
% 3.47/1.23 % (46886)Instruction limit reached!
% 3.47/1.23 % (46886)------------------------------
% 3.47/1.23 % (46886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.23 % (46886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.23 % (46886)CaDiCaL version: 2.1.3
% 3.47/1.23 % (46886)Termination reason: Instruction limit
% 3.47/1.23 % (46886)Termination phase: Saturation
% 3.47/1.23 % (46886)Time elapsed: 0.023 s
% 3.47/1.23 % (46886)Peak memory usage: 87 MB
% 3.47/1.23 % (46886)Instructions burned: 123 (million)
% 3.47/1.23 % (46885)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2991222212:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.23 % (46883)lrs+10_1_sil=8000:sp=occurrence:random_seed=345711308:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.23 % (46881)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2051383697:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.23 % (46884)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3753089468:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.23 % (46880)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=1671587953:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.23 % (46882)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=833029337:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.23 % (46883)Refutation not found, incomplete strategy
% 3.47/1.23 % (46883)------------------------------
% 3.47/1.23 % (46883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.23 % (46883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.23 % (46883)CaDiCaL version: 2.1.3
% 3.47/1.23 % (46883)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.23 % (46883)Time elapsed: 0.0000 s
% 3.47/1.23 % (46883)Peak memory usage: 86 MB
% 3.47/1.23 % (46884)Refutation not found, incomplete strategy
% 3.47/1.23 % (46884)------------------------------
% 3.47/1.23 % (46884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.23 % (46884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.23 % (46884)CaDiCaL version: 2.1.3
% 3.47/1.23 % (46884)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.23 % (46884)Time elapsed: 0.0000 s
% 3.47/1.23 % (46884)Peak memory usage: 86 MB
% 3.47/1.23 % (46885)First to succeed.
% 3.47/1.23 % (46885)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-46875"
% 3.47/1.23 % (46888)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2376863585:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.47/1.23 % (46888)Refutation not found, incomplete strategy
% 3.47/1.23 % (46888)------------------------------
% 3.47/1.23 % (46888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.23 % (46888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.23 % (46888)CaDiCaL version: 2.1.3
% 3.47/1.23 % (46888)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.23 % (46888)Time elapsed: 0.0000 s
% 3.47/1.23 % (46888)Peak memory usage: 86 MB
% 3.47/1.23 % (46888)------------------------------
% 3.47/1.23 % (46888)------------------------------
% 3.47/1.23 % (46883)------------------------------
% 3.47/1.23 % (46883)------------------------------
% 3.47/1.23 % (46884)------------------------------
% 3.47/1.23 % (46884)------------------------------
% 3.47/1.23 % (46885)Refutation found. Thanks to Tanya!
% 3.47/1.23 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.23 % (46885)------------------------------
% 3.47/1.23 % (46885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.23 % (46885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.23 % (46885)CaDiCaL version: 2.1.3
% 3.47/1.23 % (46885)Termination reason: Refutation
% 3.47/1.23 % (46885)Time elapsed: 0.007 s
% 3.47/1.23 % (46885)Peak memory usage: 88 MB
% 3.47/1.23 % (46885)Instructions burned: 10 (million)
% 3.47/1.23 % (46885)------------------------------
% 3.47/1.23 % (46885)------------------------------
% 3.47/1.23 % (46875)Success in time 0.403 s
% 3.47/1.23 % Vampire exiting
%------------------------------------------------------------------------------