%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT020-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 : Thu Sep 24 12:07:45 PM UTC 2026
% Result : Satisfiable 0.14s 0.39s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : codomain(domain(X)) = domain(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : domain(codomain(X)) = codomain(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : compose(domain(X),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : compose(X,codomain(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( domain(compose(X,Y)) = domain(X)
| codomain(X) != domain(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( codomain(compose(X,Y)) = codomain(Y)
| codomain(X) != domain(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] :
( compose(X,compose(Y,Z)) = compose(compose(X,Y),Z)
| codomain(Y) != domain(Z)
| codomain(X) != domain(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0] : codomain(domain(X0)) = domain(X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0] : domain(codomain(X0)) = codomain(X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0] : compose(domain(X0),X0) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0] : compose(X0,codomain(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1] :
( domain(compose(X0,X1)) = domain(X0)
| codomain(X0) != domain(X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1] :
( codomain(compose(X0,X1)) = codomain(X1)
| codomain(X0) != domain(X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0,X1,X2] :
( compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2)
| codomain(X1) != domain(X2)
| codomain(X0) != domain(X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f15,plain,
! [X0] : compose(domain(X0),domain(X0)) = domain(X0),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f16,plain,
! [X0] : domain(domain(X0)) = codomain(domain(X0)),
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f17,plain,
! [X0] : codomain(codomain(X0)) = domain(codomain(X0)),
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f18,plain,
! [X0] : compose(codomain(X0),codomain(X0)) = codomain(X0),
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f19,plain,
! [X0] : domain(domain(X0)) = domain(X0),
inference(forward_demodulation,[status(thm)],[f8,f16]) ).
fof(f20,plain,
! [X0] : codomain(codomain(X0)) = codomain(X0),
inference(forward_demodulation,[status(thm)],[f9,f17]) ).
fof(f33,plain,
! [X0,X1] :
( domain(compose(codomain(X0),X1)) = domain(codomain(X0))
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f20,f12]) ).
fof(f34,plain,
! [X0,X1] :
( domain(compose(domain(X0),X1)) = domain(domain(X0))
| domain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f8,f12]) ).
fof(f35,plain,
! [X0,X1] :
( domain(compose(X0,domain(X1))) = domain(X0)
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f12]) ).
fof(f36,plain,
! [X0,X1] :
( domain(compose(X0,codomain(X1))) = domain(X0)
| codomain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f38,plain,
! [X0,X1] :
( domain(compose(codomain(X0),X1)) = codomain(X0)
| codomain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f9,f33]) ).
fof(f39,plain,
! [X0,X1] :
( domain(compose(domain(X0),X1)) = domain(X0)
| domain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f19,f34]) ).
fof(f62,plain,
! [X0,X1] :
( codomain(compose(codomain(X0),X1)) = codomain(X1)
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f20,f13]) ).
fof(f63,plain,
! [X0,X1] :
( codomain(compose(domain(X0),X1)) = codomain(X1)
| domain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f8,f13]) ).
fof(f64,plain,
! [X0,X1] :
( codomain(compose(X0,domain(X1))) = codomain(domain(X1))
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f13]) ).
fof(f65,plain,
! [X0,X1] :
( codomain(compose(X0,codomain(X1))) = codomain(codomain(X1))
| codomain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f13]) ).
fof(f67,plain,
! [X0,X1] :
( codomain(compose(X0,domain(X1))) = domain(X1)
| codomain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f8,f64]) ).
fof(f68,plain,
! [X0,X1] :
( codomain(compose(X0,codomain(X1))) = codomain(X1)
| codomain(X0) != codomain(X1) ),
inference(forward_demodulation,[status(thm)],[f20,f65]) ).
fof(f73,plain,
! [X0,X1] :
( domain(compose(codomain(X0),domain(X1))) = codomain(X0)
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f38]) ).
fof(f74,plain,
! [X0,X1] :
( domain(compose(codomain(X0),codomain(X1))) = codomain(X0)
| codomain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f38]) ).
fof(f86,plain,
! [X0,X1] :
( domain(compose(domain(X0),domain(X1))) = domain(X0)
| domain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f39]) ).
fof(f87,plain,
! [X0,X1] :
( domain(compose(domain(X0),codomain(X1))) = domain(X0)
| domain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f39]) ).
fof(f107,plain,
! [X0,X1] :
( compose(domain(X0),compose(X0,X1)) = compose(compose(domain(X0),X0),X1)
| codomain(X0) != domain(X1) ),
inference(resolution,[status(thm)],[f14,f8]) ).
fof(f108,plain,
! [X0,X1] :
( compose(X0,compose(codomain(X0),X1)) = compose(compose(X0,codomain(X0)),X1)
| codomain(codomain(X0)) != domain(X1) ),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f109,plain,
! [X0,X1,X2] :
( compose(codomain(X0),compose(X1,X2)) = compose(compose(codomain(X0),X1),X2)
| codomain(X1) != domain(X2)
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f20,f14]) ).
fof(f110,plain,
! [X0,X1,X2] :
( compose(domain(X0),compose(X1,X2)) = compose(compose(domain(X0),X1),X2)
| codomain(X1) != domain(X2)
| domain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f111,plain,
! [X0,X1,X2] :
( compose(X0,compose(domain(X1),X2)) = compose(compose(X0,domain(X1)),X2)
| codomain(domain(X1)) != domain(X2)
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f14]) ).
fof(f112,plain,
! [X0,X1,X2] :
( compose(X0,compose(codomain(X1),X2)) = compose(compose(X0,codomain(X1)),X2)
| codomain(codomain(X1)) != domain(X2)
| codomain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f113,plain,
! [X0,X1] :
( compose(domain(X0),compose(X0,X1)) = compose(X0,X1)
| codomain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f10,f107]) ).
fof(f114,plain,
! [X0,X1] :
( compose(X0,compose(codomain(X0),X1)) = compose(compose(X0,codomain(X0)),X1)
| codomain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f20,f108]) ).
fof(f115,plain,
! [X0,X1] :
( compose(X0,compose(codomain(X0),X1)) = compose(X0,X1)
| codomain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f11,f114]) ).
fof(f116,plain,
! [X0,X1,X2] :
( compose(X0,compose(domain(X1),X2)) = compose(compose(X0,domain(X1)),X2)
| domain(X1) != domain(X2)
| codomain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f8,f111]) ).
fof(f117,plain,
! [X0,X1,X2] :
( compose(X0,compose(codomain(X1),X2)) = compose(compose(X0,codomain(X1)),X2)
| codomain(X1) != domain(X2)
| codomain(X0) != codomain(X1) ),
inference(forward_demodulation,[status(thm)],[f20,f112]) ).
fof(f134,plain,
! [X0,X1] :
( codomain(compose(codomain(X0),domain(X1))) = codomain(domain(X1))
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f62]) ).
fof(f135,plain,
! [X0,X1] :
( codomain(compose(codomain(X0),codomain(X1))) = codomain(codomain(X1))
| codomain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f62]) ).
fof(f139,plain,
! [X0,X1] :
( codomain(compose(codomain(X0),domain(X1))) = domain(X1)
| codomain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f8,f134]) ).
fof(f140,plain,
! [X0,X1] :
( codomain(compose(codomain(X0),codomain(X1))) = codomain(X1)
| codomain(X0) != codomain(X1) ),
inference(forward_demodulation,[status(thm)],[f20,f135]) ).
fof(f145,plain,
! [X0,X1] :
( codomain(compose(domain(X0),domain(X1))) = codomain(domain(X1))
| domain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f63]) ).
fof(f146,plain,
! [X0,X1] :
( codomain(compose(domain(X0),codomain(X1))) = codomain(codomain(X1))
| domain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f63]) ).
fof(f151,plain,
! [X0,X1] :
( codomain(compose(domain(X0),domain(X1))) = domain(X1)
| domain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f8,f145]) ).
fof(f152,plain,
! [X0,X1] :
( codomain(compose(domain(X0),codomain(X1))) = codomain(X1)
| domain(X0) != codomain(X1) ),
inference(forward_demodulation,[status(thm)],[f20,f146]) ).
fof(f199,plain,
! [X0,X1] :
( compose(domain(codomain(X0)),compose(codomain(X0),X1)) = compose(codomain(X0),X1)
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f20,f113]) ).
fof(f200,plain,
! [X0,X1] :
( compose(domain(domain(X0)),compose(domain(X0),X1)) = compose(domain(X0),X1)
| domain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f8,f113]) ).
fof(f201,plain,
! [X0,X1] :
( compose(domain(X0),compose(X0,domain(X1))) = compose(X0,domain(X1))
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f113]) ).
fof(f202,plain,
! [X0,X1] :
( compose(domain(X0),compose(X0,codomain(X1))) = compose(X0,codomain(X1))
| codomain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f113]) ).
fof(f206,plain,
! [X0,X1] :
( compose(codomain(X0),compose(codomain(X0),X1)) = compose(codomain(X0),X1)
| codomain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f9,f199]) ).
fof(f207,plain,
! [X0,X1] :
( compose(domain(X0),compose(domain(X0),X1)) = compose(domain(X0),X1)
| domain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f19,f200]) ).
fof(f259,plain,
! [X0,X1] :
( compose(X0,compose(codomain(X0),domain(X1))) = compose(X0,domain(X1))
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f115]) ).
fof(f260,plain,
! [X0,X1] :
( compose(X0,compose(codomain(X0),codomain(X1))) = compose(X0,codomain(X1))
| codomain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f115]) ).
fof(f301,plain,
! [X0,X1,X2] :
( compose(domain(X0),compose(domain(X1),X2)) = compose(compose(domain(X0),domain(X1)),X2)
| codomain(domain(X1)) != domain(X2)
| domain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f110]) ).
fof(f302,plain,
! [X0,X1,X2] :
( compose(domain(X0),compose(codomain(X1),X2)) = compose(compose(domain(X0),codomain(X1)),X2)
| codomain(codomain(X1)) != domain(X2)
| domain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f110]) ).
fof(f313,plain,
! [X0,X1,X2] :
( compose(domain(X0),compose(domain(X1),X2)) = compose(compose(domain(X0),domain(X1)),X2)
| domain(X1) != domain(X2)
| domain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f8,f301]) ).
fof(f314,plain,
! [X0,X1,X2] :
( compose(domain(X0),compose(codomain(X1),X2)) = compose(compose(domain(X0),codomain(X1)),X2)
| codomain(X1) != domain(X2)
| domain(X0) != codomain(X1) ),
inference(forward_demodulation,[status(thm)],[f20,f302]) ).
fof(f351,plain,
! [X0,X1] :
( compose(codomain(X0),compose(codomain(X0),domain(X1))) = compose(codomain(X0),domain(X1))
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f206]) ).
fof(f352,plain,
! [X0,X1] :
( compose(codomain(X0),compose(codomain(X0),codomain(X1))) = compose(codomain(X0),codomain(X1))
| codomain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f206]) ).
fof(f368,plain,
! [X0,X1] :
( compose(domain(X0),compose(domain(X0),domain(X1))) = compose(domain(X0),domain(X1))
| domain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f207]) ).
fof(f369,plain,
! [X0,X1] :
( compose(domain(X0),compose(domain(X0),codomain(X1))) = compose(domain(X0),codomain(X1))
| domain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f9,f207]) ).
fof(f421,plain,
! [X0,X1,X2] :
( compose(codomain(X0),compose(codomain(X1),X2)) = compose(compose(codomain(X0),codomain(X1)),X2)
| codomain(X1) != domain(X2)
| codomain(X0) != codomain(X1) ),
inference(paramodulation,[status(thm)],[f20,f117]) ).
fof(f570,plain,
! [X0,X1,X2] :
( compose(codomain(X0),compose(domain(X1),X2)) = compose(compose(codomain(X0),domain(X1)),X2)
| codomain(domain(X1)) != domain(X2)
| codomain(X0) != domain(X1) ),
inference(paramodulation,[status(thm)],[f19,f109]) ).
fof(f581,plain,
! [X0,X1,X2] :
( compose(codomain(X0),compose(domain(X1),X2)) = compose(compose(codomain(X0),domain(X1)),X2)
| domain(X1) != domain(X2)
| codomain(X0) != domain(X1) ),
inference(forward_demodulation,[status(thm)],[f8,f570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT020-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:56:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.034293 seconds
% 0.14/0.41 % CPU time: 0.148431 seconds
% 0.14/0.41 % Total memory used: 4.612 MB
% 0.14/0.41 % Net memory used: 4.422 MB
%------------------------------------------------------------------------------