%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ038-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 2.60s 1.28s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(X0,X1,X2,v3(s(s(s(o))),o),X3,X4,X5,X6,X7,X8,X9,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_state) ).
fof(f645,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(f646,plain,
$false,
inference(forward_subsumption_resolution,[],[f645,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ038-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n016.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 22:40:47 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 2.60/1.28 % (3057558)Input is clausal, will run a generic CNF schedule.
% 2.60/1.28 % (3057567)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3703908861:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.60/1.28 % (3057567)First to succeed.
% 2.60/1.28 % (3057567)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3057558"
% 2.60/1.28 % (3057563)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=800759549:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.60/1.28 % (3057568)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=588554561:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.60/1.28 % (3057565)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=865893079:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.60/1.28 % (3057566)lrs+10_1_sil=8000:sp=occurrence:random_seed=688257301:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.60/1.28 % (3057564)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1029933970:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.60/1.28 % (3057569)dis-21_1_sil=8000:lcm=predicate:random_seed=3513269723: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)
% 2.60/1.28 % (3057568)Also succeeded, but the first one will report.
% 2.60/1.28 % (3057566)Also succeeded, but the first one will report.
% 2.60/1.28 % (3057569)Instruction limit reached!
% 2.60/1.28 % (3057569)------------------------------
% 2.60/1.28 % (3057569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.28 % (3057569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.28 % (3057569)CaDiCaL version: 2.1.3
% 2.60/1.28 % (3057569)Termination reason: Instruction limit
% 2.60/1.28 % (3057569)Termination phase: Saturation
% 2.60/1.28 % (3057569)Time elapsed: 0.070 s
% 2.60/1.28 % (3057569)Peak memory usage: 88 MB
% 2.60/1.28 % (3057569)Instructions burned: 117 (million)
% 2.60/1.28 % (3057567)Refutation found. Thanks to Tanya!
% 2.60/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.60/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/1.28 % (3057567)------------------------------
% 2.60/1.28 % (3057567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.28 % (3057567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.28 % (3057567)CaDiCaL version: 2.1.3
% 2.60/1.28 % (3057567)Termination reason: Refutation
% 2.60/1.28 % (3057567)Time elapsed: 0.013 s
% 2.60/1.28 % (3057567)Peak memory usage: 88 MB
% 2.60/1.28 % (3057567)Instructions burned: 40 (million)
% 2.60/1.28 % (3057567)------------------------------
% 2.60/1.28 % (3057567)------------------------------
% 2.60/1.28 % (3057558)Success in time 0.303 s
% 2.60/1.28 % Vampire exiting
%------------------------------------------------------------------------------