%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ040-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:31:20 PM UTC 2026
% Result : Unsatisfiable 5.64s 2.02s
% Output : Refutation 5.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 31 ( 20 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-12 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 143 ( 143 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,X4,X5,s1(X6,s(X7)),X8,X9,X10,e1(X6,X7),X11)
| state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(X6,s(X7)),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_left) ).
fof(f3,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(s(X6),X7),X11)
| state(X0,X1,X2,X3,X4,X5,s1(s(X6),X7),X8,X9,X10,e1(X6,X7),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_down) ).
fof(f4,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,X4,X5,s1(s(X6),X7),X8,X9,X10,e1(X6,X7),X11)
| state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(s(X6),X7),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_up) ).
fof(f12,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,s3(s(X8),X9),X10,e1(X8,X9),X11)
| state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,X9),X10,e1(s(X8),X9),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_up) ).
fof(f19,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,v1(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(s(s(X1)),X2),X11)
| state(X0,v1(s(X1),X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,X2),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_down) ).
fof(f25,axiom,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(X3,s(X4)),e2(s(X3),s(X4)))
| state(X0,X1,X2,v3(X3,s(X4)),X5,X6,X7,X8,X9,X10,e1(X3,X4),e2(s(X3),X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_right) ).
fof(f27,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(s(s(X3)),X4),X11)
| state(X0,X1,X2,v3(s(X3),X4),X5,X6,X7,X8,X9,X10,e1(X3,X4),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_down) ).
fof(f31,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(s(s(X4)),X5),X11)
| state(X0,X1,X2,X3,v4(s(X4),X5),X6,X7,X8,X9,X10,e1(X4,X5),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4_down) ).
fof(f33,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(X5,s(s(X6))),X11)
| state(X0,X1,X2,X3,X4,h(X5,s(X6)),X7,X8,X9,X10,e1(X5,X6),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_right) ).
fof(f38,axiom,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(bb(X0,s(X1)),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,X1),e2(s(X0),X1))
| state(bb(X0,X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,s(s(X1))),e2(s(X0),s(s(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_left) ).
fof(f41,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X10,X11),e2(X12,X13))
| state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X12,X13),e2(X10,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',swap_blanks) ).
fof(f42,axiom,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state) ).
fof(f43,negated_conjecture,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : ~ state(bb(o,o),X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_state) ).
fof(f44,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(resolution,[],[f42,f27]) ).
fof(f50,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),
inference(resolution,[],[f44,f41]) ).
fof(f67,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(s(s(o)),o)),
inference(resolution,[],[f50,f31]) ).
fof(f111,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),
inference(resolution,[],[f67,f33]) ).
fof(f207,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(o)),o)),
inference(resolution,[],[f111,f4]) ).
fof(f268,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(o)),o)),
inference(resolution,[],[f207,f12]) ).
fof(f293,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),
inference(resolution,[],[f268,f41]) ).
fof(f333,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))),
inference(resolution,[],[f293,f2]) ).
fof(f381,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),
inference(resolution,[],[f333,f12]) ).
fof(f444,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),
inference(resolution,[],[f381,f25]) ).
fof(f449,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),
inference(resolution,[],[f444,f3]) ).
fof(f453,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),o)),
inference(resolution,[],[f449,f19]) ).
fof(f460,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,o)),
inference(resolution,[],[f453,f41]) ).
fof(f464,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(o,o)),
inference(resolution,[],[f460,f3]) ).
fof(f468,plain,
state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(o,o)),
inference(resolution,[],[f464,f19]) ).
fof(f475,plain,
state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(o),o)),
inference(resolution,[],[f468,f41]) ).
fof(f479,plain,
state(bb(o,o),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(o))),e2(s(o),s(s(o)))),
inference(resolution,[],[f475,f38]) ).
fof(f481,plain,
$false,
inference(forward_subsumption_resolution,[],[f479,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ040-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n004.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 22:35:37 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 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
% 1.67/1.72 % (3949272)Input is clausal, will run a generic CNF schedule.
% 1.67/1.72 % (3949289)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2500749303:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.67/1.72 % (3949288)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3737459940:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.67/1.72 % (3949292)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4005951637:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.67/1.72 % (3949290)lrs+10_1_sil=8000:sp=occurrence:random_seed=3409224675:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.67/1.72 % (3949293)dis-21_1_sil=8000:lcm=predicate:random_seed=1300131991: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)
% 1.67/1.72 % (3949291)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2543881436:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.67/1.72 % (3949287)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=2395911277:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.67/1.72 % (3949292)First to succeed.
% 1.67/1.72 % (3949292)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3949272"
% 1.67/1.72 % (3949293)Instruction limit reached!
% 1.67/1.72 % (3949293)------------------------------
% 1.67/1.72 % (3949293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.67/1.72 % (3949293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/1.72 % (3949293)CaDiCaL version: 2.1.3
% 1.67/1.72 % (3949293)Termination reason: Instruction limit
% 1.67/1.72 % (3949293)Termination phase: Saturation
% 1.67/1.72 % (3949293)Time elapsed: 0.070 s
% 1.67/1.72 % (3949293)Peak memory usage: 88 MB
% 1.67/1.72 % (3949293)Instructions burned: 118 (million)
% 1.67/1.72 % (3949290)Instruction limit reached!
% 1.67/1.72 % (3949290)------------------------------
% 1.67/1.72 % (3949290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.67/1.72 % (3949290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/1.72 % (3949290)CaDiCaL version: 2.1.3
% 1.67/1.72 % (3949290)Termination reason: Instruction limit
% 1.67/1.72 % (3949290)Termination phase: Saturation
% 1.67/1.72 % (3949290)Time elapsed: 0.098 s
% 1.67/1.72 % (3949290)Peak memory usage: 89 MB
% 1.67/1.72 % (3949290)Instructions burned: 107 (million)
% 1.67/1.72 % (3949291)Instruction limit reached!
% 1.67/1.72 % (3949291)------------------------------
% 1.67/1.72 % (3949291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.67/1.72 % (3949291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/1.72 % (3949291)CaDiCaL version: 2.1.3
% 1.67/1.72 % (3949291)Termination reason: Instruction limit
% 1.67/1.72 % (3949291)Termination phase: Saturation
% 1.67/1.72 % (3949291)Time elapsed: 0.103 s
% 1.67/1.72 % (3949291)Peak memory usage: 88 MB
% 1.67/1.72 % (3949291)Instructions burned: 114 (million)
% 1.67/1.72 % (3949307)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=3461840091:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.67/1.72 % (3949307)Also succeeded, but the first one will report.
% 1.67/1.72 % (3949308)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2614604306:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 1.67/1.72 % (3949309)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3479441513:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 1.67/1.72 % (3949309)Instruction limit reached!
% 1.67/1.72 % (3949309)------------------------------
% 1.67/1.72 % (3949309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.67/1.72 % (3949309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/1.72 % (3949309)CaDiCaL version: 2.1.3
% 1.67/1.72 % (3949309)Termination reason: Instruction limit
% 1.67/1.72 % (3949309)Termination phase: Saturation
% 1.67/1.72 % (3949309)Time elapsed: 0.124 s
% 1.67/1.72 % (3949309)Peak memory usage: 89 MB
% 1.67/1.72 % (3949309)Instructions burned: 219 (million)
% 5.64/2.02 % (3949292)Refutation found. Thanks to Tanya!
% 5.64/2.02 % SZS status Unsatisfiable for theBenchmark
% 5.64/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 5.64/2.02 % (3949292)------------------------------
% 5.64/2.02 % (3949292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/2.02 % (3949292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/2.02 % (3949292)CaDiCaL version: 2.1.3
% 5.64/2.02 % (3949292)Termination reason: Refutation
% 5.64/2.02 % (3949292)Time elapsed: 0.064 s
% 5.64/2.02 % (3949292)Peak memory usage: 88 MB
% 5.64/2.02 % (3949292)Instructions burned: 79 (million)
% 5.64/2.02 % (3949292)------------------------------
% 5.64/2.02 % (3949292)------------------------------
% 5.64/2.02 % (3949272)Success in time 0.7 s
% 5.64/2.02 % Vampire exiting
%------------------------------------------------------------------------------