TSTP Solution File: CSR045+1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : CSR045+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n028.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 21:41:19 EDT 2023
% Result : Theorem 0.24s 0.55s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : CSR045+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.16 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.17/0.37 % Computer : n028.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon Aug 28 10:14:24 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.24/0.55 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.24/0.55
% 0.24/0.55 % SZS status Theorem
% 0.24/0.55
% 0.24/0.55 % SZS output start Proof
% 0.24/0.55 Take the following subset of the input axioms:
% 0.24/0.55 fof(just1, axiom, applicationcontext(c_wamt_evalinitial_p14)).
% 0.24/0.55 fof(just10, axiom, ![OBJ]: (partiallyintangibleindividual(OBJ) => individual(OBJ))).
% 0.24/0.55 fof(just14, axiom, ![OBJ2]: (applicationcontext(OBJ2) => microtheory(OBJ2))).
% 0.24/0.55 fof(just15, axiom, ![OBJ2]: ~(collection(OBJ2) & individual(OBJ2))).
% 0.24/0.55 fof(just17, axiom, ![COL1, COL2, OBJ2]: ~(isa(OBJ2, COL1) & (isa(OBJ2, COL2) & disjointwith(COL1, COL2)))).
% 0.24/0.55 fof(just20, axiom, ![ARG1, ARG2]: (genls(ARG1, ARG2) => collection(ARG1))).
% 0.24/0.55 fof(just21, axiom, ![OBJ2, COL1_2, COL2_2]: ~(isa(OBJ2, COL1_2) & (isa(OBJ2, COL2_2) & disjointwith(COL1_2, COL2_2)))).
% 0.24/0.55 fof(just3, axiom, ![OBJ2]: (microtheory(OBJ2) => aspatialinformationstore(OBJ2))).
% 0.24/0.55 fof(just6, axiom, ![OBJ2]: (intangibleindividual(OBJ2) => partiallyintangibleindividual(OBJ2))).
% 0.24/0.55 fof(just8, axiom, ![OBJ2]: (aspatialinformationstore(OBJ2) => intangibleindividual(OBJ2))).
% 0.24/0.55 fof(query45, conjecture, ~genls(c_wamt_evalinitial_p14, c_tptpcol_15_80088)).
% 0.24/0.55
% 0.24/0.55 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.24/0.55 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.24/0.55 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.24/0.55 fresh(y, y, x1...xn) = u
% 0.24/0.55 C => fresh(s, t, x1...xn) = v
% 0.24/0.55 where fresh is a fresh function symbol and x1..xn are the free
% 0.24/0.55 variables of u and v.
% 0.24/0.55 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.24/0.55 input problem has no model of domain size 1).
% 0.24/0.55
% 0.24/0.55 The encoding turns the above axioms into the following unit equations and goals:
% 0.24/0.55
% 0.24/0.55 Axiom 1 (just1): applicationcontext(c_wamt_evalinitial_p14) = true2.
% 0.24/0.55 Axiom 2 (query45): genls(c_wamt_evalinitial_p14, c_tptpcol_15_80088) = true2.
% 0.24/0.55 Axiom 3 (just14): fresh81(X, X, Y) = true2.
% 0.24/0.55 Axiom 4 (just10): fresh80(X, X, Y) = true2.
% 0.24/0.55 Axiom 5 (just20): fresh77(X, X, Y) = true2.
% 0.24/0.55 Axiom 6 (just3): fresh65(X, X, Y) = true2.
% 0.24/0.55 Axiom 7 (just6): fresh31(X, X, Y) = true2.
% 0.24/0.55 Axiom 8 (just8): fresh6(X, X, Y) = true2.
% 0.24/0.55 Axiom 9 (just14): fresh81(applicationcontext(X), true2, X) = microtheory(X).
% 0.24/0.55 Axiom 10 (just10): fresh80(partiallyintangibleindividual(X), true2, X) = individual(X).
% 0.24/0.55 Axiom 11 (just3): fresh65(microtheory(X), true2, X) = aspatialinformationstore(X).
% 0.24/0.55 Axiom 12 (just6): fresh31(intangibleindividual(X), true2, X) = partiallyintangibleindividual(X).
% 0.24/0.55 Axiom 13 (just8): fresh6(aspatialinformationstore(X), true2, X) = intangibleindividual(X).
% 0.24/0.56 Axiom 14 (just20): fresh77(genls(X, Y), true2, X) = collection(X).
% 0.24/0.56
% 0.24/0.56 Goal 1 (just15): tuple2(individual(X), collection(X)) = tuple2(true2, true2).
% 0.24/0.56 The goal is true when:
% 0.24/0.56 X = c_wamt_evalinitial_p14
% 0.24/0.56
% 0.24/0.56 Proof:
% 0.24/0.56 tuple2(individual(c_wamt_evalinitial_p14), collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 10 (just10) R->L }
% 0.24/0.56 tuple2(fresh80(partiallyintangibleindividual(c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 12 (just6) R->L }
% 0.24/0.56 tuple2(fresh80(fresh31(intangibleindividual(c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 13 (just8) R->L }
% 0.24/0.56 tuple2(fresh80(fresh31(fresh6(aspatialinformationstore(c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 11 (just3) R->L }
% 0.24/0.56 tuple2(fresh80(fresh31(fresh6(fresh65(microtheory(c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 9 (just14) R->L }
% 0.24/0.56 tuple2(fresh80(fresh31(fresh6(fresh65(fresh81(applicationcontext(c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 1 (just1) }
% 0.24/0.56 tuple2(fresh80(fresh31(fresh6(fresh65(fresh81(true2, true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 3 (just14) }
% 0.24/0.56 tuple2(fresh80(fresh31(fresh6(fresh65(true2, true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 6 (just3) }
% 0.24/0.56 tuple2(fresh80(fresh31(fresh6(true2, true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 8 (just8) }
% 0.24/0.56 tuple2(fresh80(fresh31(true2, true2, c_wamt_evalinitial_p14), true2, c_wamt_evalinitial_p14), collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 7 (just6) }
% 0.24/0.56 tuple2(fresh80(true2, true2, c_wamt_evalinitial_p14), collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 4 (just10) }
% 0.24/0.56 tuple2(true2, collection(c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 14 (just20) R->L }
% 0.24/0.56 tuple2(true2, fresh77(genls(c_wamt_evalinitial_p14, c_tptpcol_15_80088), true2, c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 2 (query45) }
% 0.24/0.56 tuple2(true2, fresh77(true2, true2, c_wamt_evalinitial_p14))
% 0.24/0.56 = { by axiom 5 (just20) }
% 0.24/0.56 tuple2(true2, true2)
% 0.24/0.56 % SZS output end Proof
% 0.24/0.56
% 0.24/0.56 RESULT: Theorem (the conjecture is true).
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