%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT020-2 : 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 : 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 09:36:58 AM UTC 2026
% Result : Satisfiable 0.12s 0.30s
% Output : Saturation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u142,axiom,
( codomain(X0) != codomain(X1)
| compose(X1,codomain(X0)) = compose(compose(X1,codomain(X0)),codomain(X0)) ) ).
cnf(u82,axiom,
( domain(X0) != codomain(X2)
| domain(X0) != codomain(X1)
| compose(X2,compose(domain(X0),codomain(X1))) = compose(compose(X2,domain(X0)),codomain(X1)) ) ).
cnf(u13,axiom,
codomain(X0) = compose(codomain(X0),codomain(X0)) ).
cnf(u180,axiom,
( codomain(X0) != domain(X1)
| compose(codomain(X0),X1) = compose(codomain(X0),compose(codomain(X0),X1)) ) ).
cnf(u42,axiom,
( domain(X0) != codomain(X2)
| domain(X0) != domain(X1)
| compose(X2,compose(domain(X0),X1)) = compose(compose(X2,domain(X0)),X1) ) ).
cnf(domain_composition,axiom,
compose(domain(X0),X0) = X0 ).
cnf(u34,axiom,
( codomain(X0) != codomain(X1)
| codomain(X0) = codomain(compose(X1,codomain(X0))) ) ).
cnf(u55,axiom,
( domain(X0) != domain(X1)
| domain(X1) = domain(compose(domain(X1),domain(X0))) ) ).
cnf(u39,axiom,
( codomain(X0) != codomain(X1)
| domain(X1) != codomain(X2)
| compose(X2,compose(X1,codomain(X0))) = compose(compose(X2,X1),codomain(X0)) ) ).
cnf(u225,axiom,
( codomain(X0) != codomain(X1)
| domain(X1) != domain(X2)
| compose(domain(X2),compose(X1,codomain(X0))) = compose(compose(domain(X2),X1),codomain(X0)) ) ).
cnf(u161,axiom,
( codomain(X1) != codomain(X2)
| domain(X0) != codomain(X1)
| compose(domain(X0),compose(codomain(X1),codomain(X2))) = compose(compose(domain(X0),codomain(X1)),codomain(X2)) ) ).
cnf(u80,axiom,
( domain(X0) != codomain(X1)
| compose(X1,X0) = compose(compose(X1,X0),codomain(X0)) ) ).
cnf(u73,axiom,
( codomain(X0) != domain(X1)
| codomain(X0) = domain(compose(codomain(X0),domain(X1))) ) ).
cnf(u207,axiom,
( domain(X0) != codomain(X1)
| compose(domain(X0),codomain(X1)) = compose(domain(X0),compose(domain(X0),codomain(X1))) ) ).
cnf(u310,axiom,
( domain(X0) != domain(X1)
| compose(domain(X1),domain(X0)) = compose(domain(X1),compose(domain(X1),domain(X0))) ) ).
cnf(u162,axiom,
( codomain(X1) != codomain(X2)
| codomain(X0) != codomain(X1)
| compose(codomain(X0),compose(codomain(X1),codomain(X2))) = compose(compose(codomain(X0),codomain(X1)),codomain(X2)) ) ).
cnf(u167,axiom,
( domain(X1) != codomain(X2)
| domain(X0) != domain(X1)
| compose(domain(X0),compose(domain(X1),codomain(X2))) = compose(compose(domain(X0),domain(X1)),codomain(X2)) ) ).
cnf(u196,axiom,
( codomain(X0) != codomain(X1)
| compose(codomain(X1),codomain(X0)) = compose(compose(codomain(X1),codomain(X0)),codomain(X0)) ) ).
cnf(u172,axiom,
( domain(X1) != domain(X2)
| domain(X0) != domain(X1)
| compose(domain(X2),compose(domain(X1),domain(X0))) = compose(compose(domain(X2),domain(X1)),domain(X0)) ) ).
cnf(u174,axiom,
( domain(X0) != domain(X1)
| compose(domain(X0),X1) = compose(compose(domain(X0),domain(X1)),X1) ) ).
cnf(u195,axiom,
( domain(X0) != codomain(X1)
| compose(codomain(X1),domain(X0)) = compose(compose(codomain(X1),domain(X0)),domain(X0)) ) ).
cnf(u28,axiom,
( codomain(X0) != domain(X1)
| codomain(X0) = domain(compose(codomain(X0),X1)) ) ).
cnf(u145,axiom,
( codomain(X1) != domain(X2)
| domain(X0) != domain(X1)
| compose(domain(X0),compose(X1,domain(X2))) = compose(compose(domain(X0),X1),domain(X2)) ) ).
cnf(u30,axiom,
( codomain(X0) != domain(X1)
| codomain(X1) = codomain(compose(codomain(X0),X1)) ) ).
cnf(u147,axiom,
( domain(X0) != codomain(X1)
| domain(X0) != domain(X2)
| compose(X1,compose(domain(X0),domain(X2))) = compose(compose(X1,domain(X0)),domain(X2)) ) ).
cnf(u22,axiom,
( domain(X0) != domain(X1)
| domain(X0) = domain(compose(domain(X0),X1)) ) ).
cnf(u63,axiom,
( codomain(X0) != domain(X1)
| codomain(X0) = codomain(compose(domain(X1),codomain(X0))) ) ).
cnf(u238,axiom,
( domain(X0) != codomain(X2)
| domain(X0) != domain(X1)
| compose(codomain(X2),compose(domain(X0),domain(X1))) = compose(compose(codomain(X2),domain(X0)),domain(X1)) ) ).
cnf(u8,axiom,
( codomain(X0) != domain(X1)
| domain(X0) = domain(compose(X0,X1)) ) ).
cnf(u151,axiom,
( codomain(X1) != domain(X2)
| domain(X0) != codomain(X1)
| compose(domain(X0),compose(codomain(X1),X2)) = compose(compose(domain(X0),codomain(X1)),X2) ) ).
cnf(star_property,axiom,
( codomain(X1) != domain(X2)
| codomain(X0) != domain(X1)
| compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2) ) ).
cnf(u51,axiom,
( domain(X0) != codomain(X1)
| domain(X0) = domain(compose(domain(X0),codomain(X1))) ) ).
cnf(u20,axiom,
( codomain(X0) != codomain(X1)
| domain(X1) = domain(compose(X1,codomain(X0))) ) ).
cnf(u2,axiom,
domain(X0) = codomain(domain(X0)) ).
cnf(u232,axiom,
( domain(X0) != codomain(X1)
| compose(codomain(X1),domain(X0)) = compose(codomain(X1),compose(codomain(X1),domain(X0))) ) ).
cnf(u12,axiom,
codomain(X0) = codomain(codomain(X0)) ).
cnf(u139,axiom,
( domain(X0) != domain(X1)
| compose(domain(X0),X1) = compose(compose(domain(X0),X1),codomain(X1)) ) ).
cnf(u95,axiom,
( domain(X0) != codomain(X1)
| domain(X0) = codomain(compose(codomain(X1),domain(X0))) ) ).
cnf(u14,axiom,
domain(X0) = compose(domain(X0),domain(X0)) ).
cnf(u89,axiom,
( domain(X1) != domain(X2)
| domain(X0) != domain(X1)
| compose(domain(X0),compose(domain(X1),X2)) = compose(compose(domain(X0),domain(X1)),X2) ) ).
cnf(u152,axiom,
( codomain(X1) != domain(X2)
| codomain(X0) != codomain(X1)
| compose(codomain(X0),compose(codomain(X1),X2)) = compose(compose(codomain(X0),codomain(X1)),X2) ) ).
cnf(codomain_composition,axiom,
compose(X0,codomain(X0)) = X0 ).
cnf(u141,axiom,
( domain(X0) != codomain(X1)
| compose(X1,domain(X0)) = compose(compose(X1,domain(X0)),domain(X0)) ) ).
cnf(u81,axiom,
( codomain(X0) != codomain(X2)
| codomain(X0) != codomain(X1)
| compose(X2,compose(codomain(X0),codomain(X1))) = compose(compose(X2,codomain(X0)),codomain(X1)) ) ).
cnf(u168,axiom,
( codomain(X0) != domain(X1)
| domain(X1) != codomain(X2)
| compose(codomain(X0),compose(domain(X1),codomain(X2))) = compose(compose(codomain(X0),domain(X1)),codomain(X2)) ) ).
cnf(u41,axiom,
( codomain(X0) != codomain(X2)
| codomain(X0) != domain(X1)
| compose(X2,compose(codomain(X0),X1)) = compose(compose(X2,codomain(X0)),X1) ) ).
cnf(u212,axiom,
( codomain(X0) != domain(X1)
| compose(codomain(X0),X1) = compose(compose(codomain(X0),domain(X1)),X1) ) ).
cnf(u182,axiom,
( domain(X0) != codomain(X1)
| compose(X1,domain(X0)) = compose(X1,compose(codomain(X1),domain(X0))) ) ).
cnf(u4,axiom,
codomain(X0) = domain(codomain(X0)) ).
cnf(u164,axiom,
( codomain(X0) != codomain(X1)
| compose(X0,compose(codomain(X0),codomain(X1))) = compose(X0,codomain(X1)) ) ).
cnf(u40,axiom,
( domain(X1) != codomain(X2)
| domain(X0) != codomain(X1)
| compose(X2,compose(X1,domain(X0))) = compose(compose(X2,X1),domain(X0)) ) ).
cnf(u179,axiom,
( domain(X0) != domain(X1)
| compose(domain(X0),X1) = compose(domain(X0),compose(domain(X0),X1)) ) ).
cnf(u33,axiom,
( domain(X0) != codomain(X1)
| domain(X0) = codomain(compose(X1,domain(X0))) ) ).
cnf(u154,axiom,
( codomain(X0) != domain(X1)
| compose(X0,X1) = compose(X0,compose(codomain(X0),X1)) ) ).
cnf(u67,axiom,
( codomain(X0) != codomain(X1)
| codomain(X1) = codomain(compose(codomain(X0),codomain(X1))) ) ).
cnf(u146,axiom,
( codomain(X1) != domain(X2)
| codomain(X0) != domain(X1)
| compose(codomain(X0),compose(X1,domain(X2))) = compose(compose(codomain(X0),X1),domain(X2)) ) ).
cnf(u140,axiom,
( codomain(X0) != domain(X1)
| compose(codomain(X0),X1) = compose(compose(codomain(X0),X1),codomain(X1)) ) ).
cnf(u208,axiom,
( codomain(X0) != codomain(X1)
| compose(codomain(X0),codomain(X1)) = compose(codomain(X0),compose(codomain(X0),codomain(X1))) ) ).
cnf(u148,axiom,
( codomain(X0) != codomain(X1)
| codomain(X0) != domain(X2)
| compose(X1,compose(codomain(X0),domain(X2))) = compose(compose(X1,codomain(X0)),domain(X2)) ) ).
cnf(u29,axiom,
( domain(X0) != domain(X1)
| codomain(X1) = codomain(compose(domain(X0),X1)) ) ).
cnf(u235,axiom,
( codomain(X0) != codomain(X1)
| domain(X1) != codomain(X2)
| compose(codomain(X2),compose(X1,codomain(X0))) = compose(compose(codomain(X2),X1),codomain(X0)) ) ).
cnf(u21,axiom,
( domain(X0) != codomain(X1)
| domain(X1) = domain(compose(X1,domain(X0))) ) ).
cnf(u50,axiom,
( codomain(X0) != codomain(X1)
| codomain(X0) = domain(compose(codomain(X0),codomain(X1))) ) ).
cnf(u227,axiom,
( codomain(X0) != domain(X2)
| codomain(X0) != domain(X1)
| compose(domain(X2),compose(codomain(X0),domain(X1))) = compose(compose(domain(X2),codomain(X0)),domain(X1)) ) ).
cnf(u237,axiom,
( codomain(X0) != codomain(X2)
| codomain(X0) != domain(X1)
| compose(codomain(X2),compose(codomain(X0),domain(X1))) = compose(compose(codomain(X2),codomain(X0)),domain(X1)) ) ).
cnf(u62,axiom,
( domain(X0) != domain(X1)
| domain(X0) = codomain(compose(domain(X1),domain(X0))) ) ).
cnf(codomain_domain2,axiom,
( codomain(X0) != domain(X1)
| codomain(compose(X0,X1)) = codomain(X1) ) ).
cnf(u190,axiom,
( codomain(X0) != domain(X1)
| compose(domain(X1),codomain(X0)) = compose(compose(domain(X1),codomain(X0)),codomain(X0)) ) ).
cnf(u11,axiom,
domain(X0) = domain(domain(X0)) ).
cnf(u90,axiom,
( codomain(X0) != domain(X1)
| domain(X1) != domain(X2)
| compose(codomain(X0),compose(domain(X1),X2)) = compose(compose(codomain(X0),domain(X1)),X2) ) ).
cnf(u189,axiom,
( domain(X0) != domain(X1)
| compose(domain(X1),domain(X0)) = compose(compose(domain(X1),domain(X0)),domain(X0)) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT020-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.20 % Computer : n020.cluster.edu
% 0.12/0.20 % Model : x86_64 x86_64
% 0.12/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.20 % Memory : 8046.5625MB
% 0.12/0.20 % OS : Linux 6.8.0-71-generic
% 0.12/0.20 % CPULimit : 300
% 0.12/0.20 % WCLimit : 300
% 0.12/0.20 % DateTime : Mon Sep 28 21:14:50 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.25 Running first-order model finding
% 0.12/0.25 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
% 0.12/0.30 % (570517)Will run a generic schedule for satisfiability detection.
% 0.12/0.30 % (570523)% WARNING: option uhcvi not known.
% 0.12/0.30 % (570525)dis+10_1_sil=32000:sp=arity:random_seed=1992517573:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.30 % (570523)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3895895902:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.30 % (570525) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-570517-570525"...
% 0.12/0.30 % (570524)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1939981512:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.30 % (570522)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2667282196_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.30 % (570526)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3203376534:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.30 % (570525)...printing done.
% 0.12/0.30 % SZS status Satisfiable for theBenchmark
% 0.12/0.30 % SZS output start Saturation.
% See solution above
% 0.12/0.30 % SZS output start Definitions and Model Updates.
% 0.12/0.30 % SZS output end Definitions and Model Updates.
% 0.12/0.30 % (570525)------------------------------
% 0.12/0.30 % (570525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.30 % (570525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.30 % (570525)CaDiCaL version: 2.1.3
% 0.12/0.30 % (570525)Termination reason: Satisfiable
% 0.12/0.30 % (570525)Time elapsed: 0.013 s
% 0.12/0.30 % (570525)Peak memory usage: 11 MB
% 0.12/0.30 % (570525)Instructions burned: 25 (million)
% 0.12/0.30 % (570517)Success in time 0.037 s
% 0.12/0.30 % Vampire exiting
%------------------------------------------------------------------------------