TSTP Solution File: CAT010-10 by Twee---2.4.2
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- Process Solution
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% File : Twee---2.4.2
% Problem : CAT010-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n016.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 : Wed Aug 30 18:18:53 EDT 2023
% Result : Unsatisfiable 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT010-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 01:16:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.40 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.20/0.40
% 0.20/0.40 % SZS status Unsatisfiable
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% 0.20/0.40 % SZS output start Proof
% 0.20/0.40 Axiom 1 (compose_codomain): compose(codomain(X), X) = X.
% 0.20/0.40 Axiom 2 (ab_exists): there_exists(compose(a, b)) = true.
% 0.20/0.40 Axiom 3 (associativity_of_compose): compose(X, compose(Y, Z)) = compose(compose(X, Y), Z).
% 0.20/0.40 Axiom 4 (ifeq_axiom_002): ifeq(X, X, Y, Z) = Y.
% 0.20/0.40 Axiom 5 (ifeq_axiom_001): ifeq2(X, X, Y, Z) = Y.
% 0.20/0.40 Axiom 6 (domain_has_elements): ifeq(there_exists(domain(X)), true, there_exists(X), true) = true.
% 0.20/0.40 Axiom 7 (composition_implies_domain): ifeq(there_exists(compose(X, Y)), true, there_exists(domain(X)), true) = true.
% 0.20/0.40 Axiom 8 (domain_codomain_composition1): ifeq2(there_exists(compose(X, Y)), true, domain(X), codomain(Y)) = codomain(Y).
% 0.20/0.40
% 0.20/0.40 Goal 1 (prove_codomain_of_ab_equals_codomain_of_a): codomain(compose(a, b)) = codomain(a).
% 0.20/0.40 Proof:
% 0.20/0.40 codomain(compose(a, b))
% 0.20/0.40 = { by axiom 8 (domain_codomain_composition1) R->L }
% 0.20/0.40 ifeq2(there_exists(compose(codomain(a), compose(a, b))), true, domain(codomain(a)), codomain(compose(a, b)))
% 0.20/0.40 = { by axiom 3 (associativity_of_compose) }
% 0.20/0.40 ifeq2(there_exists(compose(compose(codomain(a), a), b)), true, domain(codomain(a)), codomain(compose(a, b)))
% 0.20/0.40 = { by axiom 1 (compose_codomain) }
% 0.20/0.40 ifeq2(there_exists(compose(a, b)), true, domain(codomain(a)), codomain(compose(a, b)))
% 0.20/0.40 = { by axiom 2 (ab_exists) }
% 0.20/0.40 ifeq2(true, true, domain(codomain(a)), codomain(compose(a, b)))
% 0.20/0.40 = { by axiom 5 (ifeq_axiom_001) }
% 0.20/0.40 domain(codomain(a))
% 0.20/0.40 = { by axiom 5 (ifeq_axiom_001) R->L }
% 0.20/0.40 ifeq2(true, true, domain(codomain(a)), codomain(a))
% 0.20/0.40 = { by axiom 6 (domain_has_elements) R->L }
% 0.20/0.40 ifeq2(ifeq(there_exists(domain(a)), true, there_exists(a), true), true, domain(codomain(a)), codomain(a))
% 0.20/0.40 = { by axiom 4 (ifeq_axiom_002) R->L }
% 0.20/0.40 ifeq2(ifeq(ifeq(true, true, there_exists(domain(a)), true), true, there_exists(a), true), true, domain(codomain(a)), codomain(a))
% 0.20/0.40 = { by axiom 2 (ab_exists) R->L }
% 0.20/0.40 ifeq2(ifeq(ifeq(there_exists(compose(a, b)), true, there_exists(domain(a)), true), true, there_exists(a), true), true, domain(codomain(a)), codomain(a))
% 0.20/0.40 = { by axiom 7 (composition_implies_domain) }
% 0.20/0.40 ifeq2(ifeq(true, true, there_exists(a), true), true, domain(codomain(a)), codomain(a))
% 0.20/0.40 = { by axiom 4 (ifeq_axiom_002) }
% 0.20/0.40 ifeq2(there_exists(a), true, domain(codomain(a)), codomain(a))
% 0.20/0.40 = { by axiom 1 (compose_codomain) R->L }
% 0.20/0.40 ifeq2(there_exists(compose(codomain(a), a)), true, domain(codomain(a)), codomain(a))
% 0.20/0.40 = { by axiom 8 (domain_codomain_composition1) }
% 0.20/0.40 codomain(a)
% 0.20/0.40 % SZS output end Proof
% 0.20/0.40
% 0.20/0.40 RESULT: Unsatisfiable (the axioms are contradictory).
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