%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE180+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 11:41:04 AM UTC 2026
% Result : Satisfiable 0.18s 0.48s
% Output : Saturation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u102,axiom,
addition(X0,X1) = X1 ).
cnf(u212,axiom,
leq(X0,X1) ).
cnf(u59,axiom,
zero = multiplication(antidomain(X0),X0) ).
cnf(u46,axiom,
multiplication(one,X0) = X0 ).
cnf(u63,axiom,
zero = multiplication(X0,coantidomain(X0)) ).
cnf(u97,axiom,
zero = omega(zero) ).
cnf(u52,axiom,
( addition(X0,X1) != X1
| leq(X0,X1) ) ).
cnf(u83,axiom,
zero = antidomain(one) ).
cnf(u51,axiom,
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ) ).
cnf(u45,axiom,
multiplication(X0,one) = X0 ).
cnf(u242,axiom,
X0 = X1 ).
cnf(u40,axiom,
addition(X0,X1) = addition(X1,X0) ).
cnf(u89,axiom,
addition(zero,X0) = X0 ).
cnf(u50,axiom,
zero = multiplication(zero,X0) ).
cnf(u57,axiom,
omega(X0) = multiplication(X0,omega(X0)) ).
cnf(u43,axiom,
addition(X0,X0) = X0 ).
cnf(u86,axiom,
zero = coantidomain(one) ).
cnf(u234,axiom,
zero = X0 ).
cnf(u42,axiom,
addition(X0,zero) = X0 ).
cnf(u49,axiom,
zero = multiplication(X0,zero) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE180+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 13:18:00 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.18/0.48 % (1672326)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (1672336)dis+10_1_sil=32000:sp=arity:random_seed=303072785:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (1672334)% WARNING: option uhcvi not known.
% 0.18/0.48 % (1672333)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3499280514_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (1672337)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=572257171:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (1672334)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1346535710:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (1672335)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1805681204:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (1672338)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3783454788:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (1672335) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1672326-1672335"...
% 0.18/0.48 % (1672339)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1605196134:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % (1672335)...printing done.
% 0.18/0.48 % TRYING [1]
% 0.18/0.48 % Finite Model Found!
% 0.18/0.48 % SZS status Satisfiable for theBenchmark
% 0.18/0.48 % (1672333) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1672326-1672333"...
% 0.18/0.48 % SZS status Satisfiable for theBenchmark
% 0.18/0.48 % SZS output start Saturation.
% See solution above
% 0.18/0.48 % SZS output start Definitions and Model Updates.
% 0.18/0.48 for all inputs,
% 0.18/0.48 define domain_difference(X0,X1) := multiplication(antidomain(antidomain(X0)),antidomain(X1))
% 0.18/0.48 for all inputs,
% 0.18/0.48 define backward_box(X0,X1) := antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(X1))))),X0))))))
% 0.18/0.48 for all inputs,
% 0.18/0.48 define forward_box(X0,X1) := antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1)))))))))))
% 0.18/0.48 for all inputs,
% 0.18/0.48 define forward_diamond(X0,X1) := antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1)))))
% 0.18/0.48 for all inputs,
% 0.18/0.48 define c(X0) := antidomain(antidomain(antidomain(X0)))
% 0.18/0.48 for all inputs,
% 0.18/0.48 define domain(X0) := antidomain(antidomain(X0))
% 0.18/0.48 for all inputs,
% 0.18/0.48 define backward_diamond(X0,X1) := coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0)))
% 0.18/0.48 for all inputs,
% 0.18/0.48 define codomain(X0) := coantidomain(coantidomain(X0))
% 0.18/0.48 % SZS output end Definitions and Model Updates.
% 0.18/0.48 % (1672335)------------------------------
% 0.18/0.48 % (1672335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (1672335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (1672335)CaDiCaL version: 2.1.3
% 0.18/0.48 % (1672335)Termination reason: Satisfiable
% 0.18/0.48 % (1672335)Time elapsed: 0.006 s
% 0.18/0.48 % (1672335)Peak memory usage: 12 MB
% 0.18/0.48 % (1672335)Instructions burned: 8 (million)
% 0.18/0.48 % (1672326)Success in time 0.047 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------