%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : CAT020-2 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:11:44 PM UTC 2026
% Result : Satisfiable 1.24s 1.71s
% Output : Saturation 1.24s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(domain_of_codomain_is_codomain,axiom,
domain(codomain(X1)) = codomain(X1),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',domain_of_codomain_is_codomain) ).
cnf(codomain_of_domain_is_domain,axiom,
codomain(domain(X1)) = domain(X1),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_of_domain_is_domain) ).
cnf(star_property,axiom,
( compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3)
| codomain(X1) != domain(X2)
| codomain(X2) != domain(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',star_property) ).
cnf(codomain_composition,axiom,
compose(X1,codomain(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_composition) ).
cnf(domain_composition,axiom,
compose(domain(X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',domain_composition) ).
cnf(codomain_domain2,axiom,
( codomain(compose(X1,X2)) = codomain(X2)
| codomain(X1) != domain(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_domain2) ).
cnf(codomain_domain1,axiom,
( domain(compose(X1,X2)) = domain(X1)
| codomain(X1) != domain(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_domain1) ).
cnf(c_0_7,axiom,
domain(codomain(X1)) = codomain(X1),
domain_of_codomain_is_codomain,
[final] ).
cnf(c_0_8,axiom,
codomain(domain(X1)) = domain(X1),
codomain_of_domain_is_domain,
[final] ).
cnf(c_0_9,axiom,
( compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3)
| codomain(X1) != domain(X2)
| codomain(X2) != domain(X3) ),
star_property,
[final] ).
cnf(c_0_10,plain,
domain(domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_7,c_0_8]),
[final] ).
cnf(c_0_11,plain,
( compose(compose(X1,domain(X2)),X3) = compose(X1,compose(domain(X2),X3))
| domain(X2) != domain(X3)
| codomain(X1) != domain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_10]),
[final] ).
cnf(c_0_12,plain,
codomain(codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_8,c_0_7]),
[final] ).
cnf(c_0_13,plain,
( compose(compose(X1,X2),codomain(X3)) = compose(X1,compose(X2,codomain(X3)))
| codomain(X2) != codomain(X3)
| codomain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]),
[final] ).
cnf(c_0_14,axiom,
compose(X1,codomain(X1)) = X1,
codomain_composition,
[final] ).
cnf(c_0_15,plain,
( compose(compose(domain(X1),domain(X2)),X3) = compose(domain(X1),compose(domain(X2),X3))
| domain(X2) != domain(X3)
| domain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]),
[final] ).
cnf(c_0_16,plain,
( compose(compose(codomain(X1),domain(X2)),X3) = compose(codomain(X1),compose(domain(X2),X3))
| domain(X2) != domain(X3)
| codomain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]),
[final] ).
cnf(c_0_17,plain,
( compose(compose(X1,domain(X2)),codomain(X3)) = compose(X1,compose(domain(X2),codomain(X3)))
| domain(X2) != codomain(X3)
| codomain(X1) != domain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_8]),c_0_10]),
[final] ).
cnf(c_0_18,plain,
( compose(compose(X1,X2),domain(X3)) = compose(X1,compose(X2,domain(X3)))
| codomain(X2) != domain(X3)
| codomain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]),
[final] ).
cnf(c_0_19,axiom,
compose(domain(X1),X1) = X1,
domain_composition,
[final] ).
cnf(c_0_20,plain,
( compose(compose(X1,X2),codomain(X2)) = compose(X1,X2)
| codomain(X1) != domain(X2) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_13]),c_0_14]),
[final] ).
cnf(c_0_21,axiom,
( codomain(compose(X1,X2)) = codomain(X2)
| codomain(X1) != domain(X2) ),
codomain_domain2,
[final] ).
cnf(c_0_22,axiom,
( domain(compose(X1,X2)) = domain(X1)
| codomain(X1) != domain(X2) ),
codomain_domain1,
[final] ).
cnf(c_0_23,plain,
( compose(compose(domain(X1),codomain(X2)),X3) = compose(domain(X1),compose(codomain(X2),X3))
| codomain(X2) != domain(X3)
| domain(X1) != codomain(X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]),
[final] ).
cnf(c_0_24,plain,
( compose(compose(codomain(X1),codomain(X2)),X3) = compose(codomain(X1),compose(codomain(X2),X3))
| codomain(X2) != domain(X3)
| codomain(X1) != codomain(X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_7]),
[final] ).
cnf(c_0_25,plain,
( compose(compose(codomain(X1),domain(X2)),codomain(X3)) = compose(codomain(X1),compose(domain(X2),codomain(X3)))
| domain(X2) != codomain(X3)
| codomain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_12]),
[final] ).
cnf(c_0_26,plain,
( compose(compose(X1,domain(X2)),domain(X3)) = compose(X1,compose(domain(X2),domain(X3)))
| domain(X2) != domain(X3)
| codomain(X1) != domain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_8]),c_0_10]),
[final] ).
cnf(c_0_27,plain,
( compose(compose(domain(X1),domain(X2)),X2) = compose(domain(X1),X2)
| domain(X1) != domain(X2) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_15]),c_0_19]),
[final] ).
cnf(c_0_28,plain,
( compose(compose(X1,domain(X2)),domain(X2)) = compose(X1,domain(X2))
| codomain(X1) != domain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_10]),c_0_8]),
[final] ).
cnf(c_0_29,plain,
( compose(compose(X1,codomain(X2)),codomain(X2)) = compose(X1,codomain(X2))
| codomain(X1) != codomain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_7]),c_0_12]),
[final] ).
cnf(c_0_30,plain,
( codomain(compose(X1,domain(X2))) = domain(X2)
| codomain(X1) != domain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_10]),c_0_8]),
[final] ).
cnf(c_0_31,plain,
( codomain(compose(X1,codomain(X2))) = codomain(X2)
| codomain(X1) != codomain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_7]),c_0_12]),
[final] ).
cnf(c_0_32,plain,
( domain(compose(X1,domain(X2))) = domain(X1)
| codomain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_10]),
[final] ).
cnf(c_0_33,plain,
( domain(compose(X1,codomain(X2))) = domain(X1)
| codomain(X1) != codomain(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_7]),
[final] ).
cnf(c_0_34,plain,
( compose(compose(domain(X1),codomain(X2)),domain(X3)) = compose(domain(X1),compose(codomain(X2),domain(X3)))
| codomain(X2) != domain(X3)
| domain(X1) != codomain(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_10]),
[final] ).
cnf(c_0_35,plain,
( compose(compose(domain(X1),codomain(X2)),codomain(X3)) = compose(domain(X1),compose(codomain(X2),codomain(X3)))
| codomain(X2) != codomain(X3)
| domain(X1) != codomain(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_7]),
[final] ).
cnf(c_0_36,plain,
( compose(compose(codomain(X1),codomain(X2)),domain(X3)) = compose(codomain(X1),compose(codomain(X2),domain(X3)))
| codomain(X2) != domain(X3)
| codomain(X1) != codomain(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_10]),
[final] ).
cnf(c_0_37,plain,
( compose(compose(codomain(X1),codomain(X2)),codomain(X3)) = compose(codomain(X1),compose(codomain(X2),codomain(X3)))
| codomain(X2) != codomain(X3)
| codomain(X1) != codomain(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_7]),
[final] ).
cnf(c_0_38,plain,
( compose(compose(domain(X1),domain(X2)),domain(X3)) = compose(domain(X1),compose(domain(X2),domain(X3)))
| domain(X2) != domain(X3)
| domain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_8]),
[final] ).
cnf(c_0_39,plain,
( compose(compose(codomain(X1),domain(X2)),domain(X3)) = compose(codomain(X1),compose(domain(X2),domain(X3)))
| domain(X2) != domain(X3)
| codomain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_12]),
[final] ).
cnf(c_0_40,plain,
( compose(compose(domain(X1),domain(X2)),codomain(X3)) = compose(domain(X1),compose(domain(X2),codomain(X3)))
| domain(X2) != codomain(X3)
| domain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_8]),
[final] ).
cnf(c_0_41,plain,
( compose(compose(codomain(X1),domain(X2)),X2) = compose(codomain(X1),X2)
| codomain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_7]),
[final] ).
cnf(c_0_42,plain,
( compose(compose(X1,codomain(X2)),domain(X3)) = compose(X1,compose(codomain(X2),domain(X3)))
| codomain(X2) != domain(X3)
| codomain(X1) != codomain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_12]),c_0_7]),
[final] ).
cnf(c_0_43,plain,
( compose(compose(domain(X1),domain(X2)),domain(X2)) = compose(domain(X1),domain(X2))
| domain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_8]),
[final] ).
cnf(c_0_44,plain,
( compose(compose(codomain(X1),domain(X2)),domain(X2)) = compose(codomain(X1),domain(X2))
| codomain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_12]),
[final] ).
cnf(c_0_45,plain,
( compose(compose(domain(X1),codomain(X2)),codomain(X2)) = compose(domain(X1),codomain(X2))
| domain(X1) != codomain(X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_8]),
[final] ).
cnf(c_0_46,plain,
( compose(compose(codomain(X1),codomain(X2)),codomain(X2)) = compose(codomain(X1),codomain(X2))
| codomain(X1) != codomain(X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_12]),
[final] ).
cnf(c_0_47,plain,
( compose(compose(domain(X1),X2),codomain(X2)) = compose(domain(X1),X2)
| domain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_8]),
[final] ).
cnf(c_0_48,plain,
( compose(compose(X1,codomain(X2)),codomain(X3)) = compose(X1,compose(codomain(X2),codomain(X3)))
| codomain(X2) != codomain(X3)
| codomain(X1) != codomain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_12]),c_0_7]),
[final] ).
cnf(c_0_49,plain,
( compose(compose(codomain(X1),X2),codomain(X2)) = compose(codomain(X1),X2)
| codomain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_12]),
[final] ).
cnf(c_0_50,plain,
( compose(compose(X1,codomain(X2)),X3) = compose(X1,compose(codomain(X2),X3))
| codomain(X2) != domain(X3)
| codomain(X1) != codomain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_12]),c_0_7]),
[final] ).
cnf(c_0_51,plain,
( codomain(compose(domain(X1),domain(X2))) = domain(X2)
| domain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_8]),
[final] ).
cnf(c_0_52,plain,
( codomain(compose(codomain(X1),domain(X2))) = domain(X2)
| codomain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_12]),
[final] ).
cnf(c_0_53,plain,
( codomain(compose(domain(X1),codomain(X2))) = codomain(X2)
| domain(X1) != codomain(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_8]),
[final] ).
cnf(c_0_54,plain,
( codomain(compose(codomain(X1),codomain(X2))) = codomain(X2)
| codomain(X1) != codomain(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_12]),
[final] ).
cnf(c_0_55,plain,
( domain(compose(domain(X1),domain(X2))) = domain(X1)
| domain(X1) != domain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_8]),c_0_10]),
[final] ).
cnf(c_0_56,plain,
( domain(compose(codomain(X1),domain(X2))) = codomain(X1)
| codomain(X1) != domain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_12]),c_0_7]),
[final] ).
cnf(c_0_57,plain,
( domain(compose(domain(X1),codomain(X2))) = domain(X1)
| domain(X1) != codomain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_8]),c_0_10]),
[final] ).
cnf(c_0_58,plain,
( domain(compose(codomain(X1),codomain(X2))) = codomain(X1)
| codomain(X1) != codomain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_12]),c_0_7]),
[final] ).
cnf(c_0_59,plain,
( codomain(compose(domain(X1),X2)) = codomain(X2)
| domain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_8]),
[final] ).
cnf(c_0_60,plain,
( codomain(compose(codomain(X1),X2)) = codomain(X2)
| codomain(X1) != domain(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_12]),
[final] ).
cnf(c_0_61,plain,
( domain(compose(domain(X1),X2)) = domain(X1)
| domain(X1) != domain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_8]),c_0_10]),
[final] ).
cnf(c_0_62,plain,
( domain(compose(codomain(X1),X2)) = codomain(X1)
| codomain(X1) != domain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_12]),c_0_7]),
[final] ).
cnf(c_0_63,plain,
compose(codomain(X1),codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_19,c_0_7]),
[final] ).
cnf(c_0_64,plain,
compose(domain(X1),domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_14,c_0_8]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CAT020-2 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n008.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 10:48:28 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.24/1.71 % Version : CSE_E---1.7
% 1.24/1.71 % Problem : theBenchmark.p
% 1.24/1.71 % SZS status Satisfiable for theBenchmark.p
% 1.24/1.71 % SZS output start Saturation
% See solution above
% 1.24/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------