%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ039-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:32:01 PM UTC 2026
% Result : Unsatisfiable 0.39s 0.52s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 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 : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(s(X7),X8),X11)
| state(X0,X1,X2,X3,X4,X5,X6,s2(s(X7),X8),X9,X10,e1(X7,X8),X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',s2_down) ).
fof(f13,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(X9,s(X10)),X11)
| state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,s(X10)),e1(X9,X10),X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',s4_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/sandbox2/benchmark/Axioms/PUZ004-0.ax',v3_down) ).
fof(f30,axiom,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,v4(X4,s(X5)),X6,X7,X8,X9,X10,e1(X4,X5),e2(s(X4),X5))
| state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(X4,s(X5)),e2(s(X4),s(X5))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',v4_left) ).
fof(f34,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,X4,h(X5,s(X6)),X7,X8,X9,X10,e1(X5,X6),X11)
| state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(X5,s(s(X6))),X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',h_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/sandbox2/benchmark/Axioms/PUZ004-0.ax',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/sandbox2/benchmark/theBenchmark.p',initial_state) ).
fof(f43,negated_conjecture,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : ~ state(X0,X1,X2,X3,v4(s(s(o)),s(s(o))),X4,X5,X6,X7,X8,X9,X10),
file('/export/starexec/sandbox2/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(f64,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(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),
inference(resolution,[],[f50,f13]) ).
fof(f104,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(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),
inference(resolution,[],[f64,f7]) ).
fof(f201,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(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),
inference(resolution,[],[f104,f41]) ).
fof(f392,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)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),
inference(resolution,[],[f201,f34]) ).
fof(f696,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(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o))))),
inference(resolution,[],[f392,f30]) ).
fof(f699,plain,
$false,
inference(forward_subsumption_resolution,[],[f696,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ039-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:36:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.52 % (3833361)Will run a generic schedule for satisfiability detection.
% 0.39/0.52 % (3833369)dis+10_1_sil=32000:sp=arity:random_seed=2982942319:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.39/0.52 % (3833367)% WARNING: option uhcvi not known.
% 0.39/0.52 % (3833366)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2264193183_2999 on theBenchmark for (2999ds/0Mi)
% 0.39/0.52 % (3833368)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1858442289:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.39/0.52 % (3833370)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2550524964:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.39/0.52 % (3833371)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1045221741:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.39/0.52 % (3833372)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3417293208:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.39/0.52 % (3833367)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3814670300:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.39/0.52 % TRYING [1]
% 0.39/0.52 % TRYING [2]
% 0.39/0.52 % (3833369)Instruction limit reached!
% 0.39/0.52 % (3833369)------------------------------
% 0.39/0.52 % (3833369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.52 % (3833369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.52 % (3833369)CaDiCaL version: 2.1.3
% 0.39/0.52 % (3833369)Termination reason: Instruction limit
% 0.39/0.52 % (3833369)Termination phase: Saturation
% 0.39/0.52 % (3833369)Time elapsed: 0.034 s
% 0.39/0.52 % (3833369)Peak memory usage: 11 MB
% 0.39/0.52 % (3833369)Instructions burned: 106 (million)
% 0.39/0.52 % (3833380)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1785924120:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.39/0.52 % TRYING [1]
% 0.39/0.52 % TRYING [2]
% 0.39/0.52 % (3833370)Instruction limit reached!
% 0.39/0.52 % (3833370)------------------------------
% 0.39/0.52 % (3833370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.52 % (3833370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.52 % (3833370)CaDiCaL version: 2.1.3
% 0.39/0.52 % (3833370)Termination reason: Instruction limit
% 0.39/0.52 % (3833370)Termination phase: Saturation
% 0.39/0.52 % (3833370)Time elapsed: 0.066 s
% 0.39/0.52 % (3833370)Peak memory usage: 12 MB
% 0.39/0.52 % (3833370)Instructions burned: 116 (million)
% 0.39/0.52 % (3833371)Instruction limit reached!
% 0.39/0.52 % (3833371)------------------------------
% 0.39/0.52 % (3833371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.52 % (3833371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.52 % (3833371)CaDiCaL version: 2.1.3
% 0.39/0.52 % (3833371)Termination reason: Instruction limit
% 0.39/0.52 % (3833371)Termination phase: Saturation
% 0.39/0.52 % (3833371)Time elapsed: 0.068 s
% 0.39/0.52 % (3833371)Peak memory usage: 11 MB
% 0.39/0.52 % (3833371)Instructions burned: 131 (million)
% 0.39/0.52 % (3833367) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3833361-3833367"...
% 0.39/0.52 % (3833367)...printing done.
% 0.39/0.52 % (3833367)Refutation found. Thanks to Tanya!
% 0.39/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.39/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.39/0.52 % (3833367)------------------------------
% 0.39/0.52 % (3833367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.39/0.52 % (3833367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.39/0.52 % (3833367)CaDiCaL version: 2.1.3
% 0.39/0.52 % (3833367)Termination reason: Refutation
% 0.39/0.52 % (3833367)Time elapsed: 0.069 s
% 0.39/0.52 % (3833367)Peak memory usage: 12 MB
% 0.39/0.52 % (3833367)Instructions burned: 129 (million)
% 0.39/0.52 % (3833361)Success in time 0.106 s
% 0.39/0.52 % Vampire exiting
%------------------------------------------------------------------------------