%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ046-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:32:02 PM UTC 2026
% Result : Satisfiable 0.17s 0.48s
% Output : Saturation 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(h_right,axiom,
( ~ 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) ) ).
cnf(v2_left,axiom,
( ~ state(X0,X1,v2(X2,s(X3)),X4,X5,X6,X7,X8,X9,X10,e1(X2,X3),e2(s(X2),X3))
| state(X0,X1,v2(X2,X3),X4,X5,X6,X7,X8,X9,X10,e1(X2,s(X3)),e2(s(X2),s(X3))) ) ).
cnf(v4_right,axiom,
( ~ state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(X4,s(X5)),e2(s(X4),s(X5)))
| state(X0,X1,X2,X3,v4(X4,s(X5)),X6,X7,X8,X9,X10,e1(X4,X5),e2(s(X4),X5)) ) ).
cnf(s2_right,axiom,
( ~ state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(X7,s(X8)),X11)
| state(X0,X1,X2,X3,X4,X5,X6,s2(X7,s(X8)),X9,X10,e1(X7,X8),X11) ) ).
cnf(v2_up,axiom,
( ~ state(X0,X1,v2(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,e1(X2,X3),X11)
| state(X0,X1,v2(X2,X3),X4,X5,X6,X7,X8,X9,X10,e1(s(s(X2)),X3),X11) ) ).
cnf(b_down,axiom,
( ~ state(bb(X0,X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(s(s(X0)),X1),e2(s(s(X0)),s(X1)))
| state(bb(s(X0),X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,X1),e2(X0,s(X1))) ) ).
cnf(s4_down,axiom,
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(s(X9),X10),X11)
| state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(s(X9),X10),e1(X9,X10),X11) ) ).
cnf(s3_left,axiom,
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,s(X9)),X10,e1(X8,X9),X11)
| state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,X9),X10,e1(X8,s(X9)),X11) ) ).
cnf(v4_left,axiom,
( ~ 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))) ) ).
cnf(s1_up,axiom,
( ~ 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) ) ).
cnf(swap_blanks,axiom,
( ~ 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)) ) ).
cnf(v1_right,axiom,
( ~ state(X0,v1(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,s(X2)),e2(s(X1),s(X2)))
| state(X0,v1(X1,s(X2)),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,X2),e2(s(X1),X2)) ) ).
cnf(v3_up,axiom,
( ~ state(X0,X1,X2,v3(s(X3),X4),X5,X6,X7,X8,X9,X10,e1(X3,X4),X11)
| state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(s(s(X3)),X4),X11) ) ).
cnf(v3_down,axiom,
( ~ 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) ) ).
cnf(s1_down,axiom,
( ~ 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) ) ).
cnf(s4_left,axiom,
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,s(X10)),e1(X9,X10),X11)
| state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(X9,s(X10)),X11) ) ).
cnf(b_left,axiom,
( ~ 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)))) ) ).
cnf(v2_right,axiom,
( ~ state(X0,X1,v2(X2,X3),X4,X5,X6,X7,X8,X9,X10,e1(X2,s(X3)),e2(s(X2),s(X3)))
| state(X0,X1,v2(X2,s(X3)),X4,X5,X6,X7,X8,X9,X10,e1(X2,X3),e2(s(X2),X3)) ) ).
cnf(s4_up,axiom,
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(s(X9),X10),e1(X9,X10),X11)
| state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(s(X9),X10),X11) ) ).
cnf(s2_down,axiom,
( ~ 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) ) ).
cnf(b_up,axiom,
( ~ state(bb(s(X0),X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,X1),e2(X0,s(X1)))
| state(bb(X0,X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(s(s(X0)),X1),e2(s(s(X0)),s(X1))) ) ).
cnf(v4_down,axiom,
( ~ 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) ) ).
cnf(v3_left,axiom,
( ~ state(X0,X1,X2,v3(X3,s(X4)),X5,X6,X7,X8,X9,X10,e1(X3,X4),e2(s(X3),X4))
| state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(X3,s(X4)),e2(s(X3),s(X4))) ) ).
cnf(s1_left,axiom,
( ~ 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) ) ).
cnf(s3_right,axiom,
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,X9),X10,e1(X8,s(X9)),X11)
| state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,s(X9)),X10,e1(X8,X9),X11) ) ).
cnf(v1_up,axiom,
( ~ state(X0,v1(s(X1),X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,X2),X11)
| state(X0,v1(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(s(s(X1)),X2),X11) ) ).
cnf(v1_down,axiom,
( ~ 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) ) ).
cnf(h_left,axiom,
( ~ 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) ) ).
cnf(s2_left,axiom,
( ~ state(X0,X1,X2,X3,X4,X5,X6,s2(X7,s(X8)),X9,X10,e1(X7,X8),X11)
| state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(X7,s(X8)),X11) ) ).
cnf(s4_right,axiom,
( ~ 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) ) ).
cnf(h_up,axiom,
( ~ state(X0,X1,X2,X3,X4,h(s(X5),X6),X7,X8,X9,X10,e1(X5,X6),e2(X5,s(X6)))
| state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(s(X5),X6),e2(s(X5),s(X6))) ) ).
cnf(b_right,axiom,
( ~ state(bb(X0,X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,s(s(X1))),e2(s(X0),s(s(X1))))
| state(bb(X0,s(X1)),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,X1),e2(s(X0),X1)) ) ).
cnf(v4_up,axiom,
( ~ state(X0,X1,X2,X3,v4(s(X4),X5),X6,X7,X8,X9,X10,e1(X4,X5),X11)
| state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(s(s(X4)),X5),X11) ) ).
cnf(s2_up,axiom,
( ~ state(X0,X1,X2,X3,X4,X5,X6,s2(s(X7),X8),X9,X10,e1(X7,X8),X11)
| state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(s(X7),X8),X11) ) ).
cnf(v2_down,axiom,
( ~ state(X0,X1,v2(X2,X3),X4,X5,X6,X7,X8,X9,X10,e1(s(s(X2)),X3),X11)
| state(X0,X1,v2(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,e1(X2,X3),X11) ) ).
cnf(h_down,axiom,
( ~ state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(s(X5),X6),e2(s(X5),s(X6)))
| state(X0,X1,X2,X3,X4,h(s(X5),X6),X7,X8,X9,X10,e1(X5,X6),e2(X5,s(X6))) ) ).
cnf(v1_left,axiom,
( ~ state(X0,v1(X1,s(X2)),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,X2),e2(s(X1),X2))
| state(X0,v1(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,s(X2)),e2(s(X1),s(X2))) ) ).
cnf(v3_right,axiom,
( ~ 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)) ) ).
cnf(s1_right,axiom,
( ~ state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(X6,s(X7)),X11)
| state(X0,X1,X2,X3,X4,X5,s1(X6,s(X7)),X8,X9,X10,e1(X6,X7),X11) ) ).
cnf(s3_up,axiom,
( ~ 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) ) ).
cnf(s3_down,axiom,
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,X9),X10,e1(s(X8),X9),X11)
| state(X0,X1,X2,X3,X4,X5,X6,X7,s3(s(X8),X9),X10,e1(X8,X9),X11) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ046-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:36:57 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 0.17/0.48 % (984876)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (984885)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3642452235:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (984882)% WARNING: option uhcvi not known.
% 0.17/0.48 % (984881)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2295498681_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (984882)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3177484952:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (984883)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3421422571:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (984884)dis+10_1_sil=32000:sp=arity:random_seed=623294633:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (984886)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1456878711:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (984887)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=95741469:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (984886) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-984876-984886"...
% 0.17/0.48 % (984887) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-984876-984887"...
% 0.17/0.48 % (984882) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-984876-984882"...
% 0.17/0.48 % (984886)...printing done.
% 0.17/0.48 % (984887)...printing done.
% 0.17/0.48 % (984882)...printing done.
% 0.17/0.48 % SZS status Satisfiable for theBenchmark
% 0.17/0.48 % SZS output start Saturation.
% See solution above
% 0.17/0.48 % SZS output start Definitions and Model Updates.
% 0.17/0.48 % SZS output end Definitions and Model Updates.
% 0.17/0.48 % (984886)------------------------------
% 0.17/0.48 % (984886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (984886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (984886)CaDiCaL version: 2.1.3
% 0.17/0.48 % (984886)Termination reason: Satisfiable
% 0.17/0.48 % (984886)Time elapsed: 0.002 s
% 0.17/0.48 % (984886)Peak memory usage: 10 MB
% 0.17/0.48 % (984886)Instructions burned: 4 (million)
% 0.17/0.48 % (984876)Success in time 0.051 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------