%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO613-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 5.17s 1.43s
% Output : Refutation 5.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 4 unt; 0 def)
% Number of atoms : 279 ( 0 equ)
% Maximal formula atoms : 23 ( 10 avg)
% Number of connectives : 529 ( 276 ~; 253 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 20 avg)
% Maximal term depth : 12 ( 2 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 : 223 ( 223 !; 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,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eq(f(X11),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)
| ~ eq(f(X7),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X9),a0)
| ~ eq(f(X10),a0)
| ~ eq(f(X0),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)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X10)
| ~ le(s(X10),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f6,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,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)
| ~ eq(f(X7),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X9),a0)
| ~ eq(f(X10),a0)
| ~ le(s(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(resolution,[],[f4,f5]) ).
fof(f7,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,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)
| ~ eq(f(X7),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X9),a0)
| ~ le(s(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(forward_subsumption_resolution,[],[f6,f4]) ).
fof(f8,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,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)
| ~ eq(f(X7),a0)
| ~ eq(f(X8),a0)
| ~ le(s(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(forward_subsumption_resolution,[],[f7,f4]) ).
fof(f9,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,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)
| ~ eq(f(X7),a0)
| ~ le(s(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(forward_subsumption_resolution,[],[f8,f4]) ).
fof(f10,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,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(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(forward_subsumption_resolution,[],[f9,f4]) ).
fof(f11,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,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)
| ~ le(s(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(forward_subsumption_resolution,[],[f10,f4]) ).
fof(f12,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eq(f(X0),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X4),a0)
| ~ le(s(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(forward_subsumption_resolution,[],[f11,f4]) ).
fof(f13,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eq(f(X0),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X3),a0)
| ~ le(s(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(forward_subsumption_resolution,[],[f12,f4]) ).
fof(f14,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eq(f(X0),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ le(s(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(forward_subsumption_resolution,[],[f13,f4]) ).
fof(f15,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eq(f(X0),a0)
| ~ eq(f(X1),a0)
| ~ le(s(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(forward_subsumption_resolution,[],[f14,f4]) ).
fof(f16,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eq(f(X0),a0)
| ~ le(s(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(forward_subsumption_resolution,[],[f15,f4]) ).
fof(f17,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ le(s(X10),X0)
| ~ le(s(X0),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X11) ),
inference(forward_subsumption_resolution,[],[f16,f4]) ).
fof(f18,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ le(s(s(X0)),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X10) ),
inference(resolution,[],[f17,f1]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ le(s(s(s(X0))),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9) ),
inference(resolution,[],[f18,f1]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ le(s(s(s(s(X0)))),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8) ),
inference(resolution,[],[f19,f1]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ le(s(s(s(s(s(X0))))),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7) ),
inference(resolution,[],[f20,f1]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ le(s(s(s(s(s(s(X0)))))),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6) ),
inference(resolution,[],[f21,f1]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ le(s(s(s(s(s(s(s(X0))))))),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5) ),
inference(resolution,[],[f22,f1]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] :
( ~ le(s(s(s(s(s(s(s(s(X0)))))))),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4) ),
inference(resolution,[],[f23,f1]) ).
fof(f25,plain,
! [X2,X3,X0,X1] :
( ~ le(s(s(s(s(s(s(s(s(s(X0))))))))),X1)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3) ),
inference(resolution,[],[f24,f1]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ le(s(s(s(s(s(s(s(s(s(s(X0)))))))))),X1)
| ~ le(s(X1),X2) ),
inference(resolution,[],[f25,f1]) ).
fof(f27,plain,
! [X0,X1] : ~ le(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))),X1),
inference(resolution,[],[f26,f1]) ).
fof(f28,plain,
$false,
inference(resolution,[],[f27,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO613-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n001.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 18:01:18 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.22 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
% 4.47/1.33 % (578455)Input is clausal, will run a generic CNF schedule.
% 4.47/1.33 % (578460)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=2095763435:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.47/1.33 % (578463)lrs+10_1_sil=8000:sp=occurrence:random_seed=3875637612:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.47/1.33 % (578466)dis-21_1_sil=8000:lcm=predicate:random_seed=4035597659: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)
% 4.47/1.33 % (578465)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3026806082:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.47/1.33 % (578461)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1390895532:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.47/1.33 % (578462)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=759037754:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.47/1.33 % (578464)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1209676118:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.47/1.33 % (578464)Refutation not found, incomplete strategy
% 4.47/1.33 % (578464)------------------------------
% 4.47/1.33 % (578464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.33 % (578463)Refutation not found, incomplete strategy
% 4.47/1.33 % (578463)------------------------------
% 4.47/1.33 % (578463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.33 % (578463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.33 % (578464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.33 % (578464)CaDiCaL version: 2.1.3
% 4.47/1.33 % (578463)CaDiCaL version: 2.1.3
% 4.47/1.33 % (578463)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.33 % (578463)Time elapsed: 0.001 s
% 4.47/1.33 % (578464)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.33 % (578464)Time elapsed: 0.0000 s
% 4.47/1.33 % (578464)Peak memory usage: 85 MB
% 4.47/1.33 % (578463)Peak memory usage: 86 MB
% 4.47/1.33 % (578466)Instruction limit reached!
% 4.47/1.33 % (578466)------------------------------
% 4.47/1.33 % (578466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.33 % (578466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.33 % (578466)CaDiCaL version: 2.1.3
% 4.47/1.33 % (578466)Termination reason: Instruction limit
% 4.47/1.33 % (578466)Termination phase: Saturation
% 4.47/1.33 % (578466)Time elapsed: 0.036 s
% 4.47/1.33 % (578466)Peak memory usage: 87 MB
% 4.47/1.33 % (578466)Instructions burned: 117 (million)
% 4.47/1.33 % (578465)Instruction limit reached!
% 4.47/1.33 % (578465)------------------------------
% 4.47/1.33 % (578465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.33 % (578465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.33 % (578465)CaDiCaL version: 2.1.3
% 4.47/1.33 % (578465)Termination reason: Instruction limit
% 4.47/1.33 % (578465)Termination phase: Saturation
% 4.47/1.33 % (578465)Time elapsed: 0.069 s
% 4.47/1.33 % (578465)Peak memory usage: 87 MB
% 4.47/1.33 % (578465)Instructions burned: 181 (million)
% 4.47/1.33 % (578474)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=3685133686:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.47/1.33 % (578474)Refutation not found, incomplete strategy
% 4.47/1.33 % (578474)------------------------------
% 4.47/1.33 % (578474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.33 % (578474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.33 % (578474)CaDiCaL version: 2.1.3
% 4.47/1.33 % (578474)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.33 % (578474)Time elapsed: 0.001 s
% 4.47/1.33 % (578474)Peak memory usage: 86 MB
% 4.47/1.33 % (578475)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1498349161:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.17/1.43 % (578475)Refutation not found, incomplete strategy
% 5.17/1.43 % (578475)------------------------------
% 5.17/1.43 % (578475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.43 % (578475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.43 % (578475)CaDiCaL version: 2.1.3
% 5.17/1.43 % (578475)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.43 % (578475)Time elapsed: 0.001 s
% 5.17/1.43 % (578475)Peak memory usage: 86 MB
% 5.17/1.43 % (578464)------------------------------
% 5.17/1.43 % (578464)------------------------------
% 5.17/1.43 % (578463)------------------------------
% 5.17/1.43 % (578463)------------------------------
% 5.17/1.43 % (578460)First to succeed.
% 5.17/1.43 % (578460)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-578455"
% 5.17/1.43 % (578479)lrs+10_64_to=lpo:sil=8000:random_seed=2327625351:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.17/1.43 % (578478)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3333032032:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.17/1.43 % (578478)Refutation not found, incomplete strategy
% 5.17/1.43 % (578478)------------------------------
% 5.17/1.43 % (578478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.43 % (578478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.43 % (578478)CaDiCaL version: 2.1.3
% 5.17/1.43 % (578478)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.43 % (578478)Time elapsed: 0.001 s
% 5.17/1.43 % (578478)Peak memory usage: 86 MB
% 5.17/1.43 % (578474)------------------------------
% 5.17/1.43 % (578474)------------------------------
% 5.17/1.43 % (578460)Refutation found. Thanks to Tanya!
% 5.17/1.43 % SZS status Unsatisfiable for theBenchmark
% 5.17/1.43 % SZS output start Proof for theBenchmark
% See solution above
% 5.17/1.43 % (578460)------------------------------
% 5.17/1.43 % (578460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.43 % (578460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.43 % (578460)CaDiCaL version: 2.1.3
% 5.17/1.43 % (578460)Termination reason: Refutation
% 5.17/1.43 % (578460)Time elapsed: 0.362 s
% 5.17/1.43 % (578460)Peak memory usage: 127 MB
% 5.17/1.43 % (578460)Instructions burned: 913 (million)
% 5.17/1.43 % (578460)------------------------------
% 5.17/1.43 % (578460)------------------------------
% 5.17/1.43 % (578455)Success in time 0.658 s
% 5.17/1.43 % Vampire exiting
%------------------------------------------------------------------------------