TSTP Solution File: CSR031+2 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : CSR031+2 : 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 : n032.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 21:41:06 EDT 2023
% Result : Theorem 27.30s 3.99s
% Output : Proof 27.30s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : CSR031+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 28 08:02:15 EDT 2023
% 0.10/0.31 % CPUTime :
% 27.30/3.99 Command-line arguments: --no-flatten-goal
% 27.30/3.99
% 27.30/3.99 % SZS status Theorem
% 27.30/3.99
% 27.30/4.00 % SZS output start Proof
% 27.30/4.00 Take the following subset of the input axioms:
% 27.30/4.00 fof(ax1_1119, axiom, ![ARG2, INS]: (disjointwith(INS, ARG2) => collection(INS))).
% 27.30/4.00 fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_1(OBJ) & tptpcol_1_65536(OBJ))).
% 27.30/4.00 fof(ax1_167, axiom, ![OBJ2]: ~(individual(OBJ2) & setorcollection(OBJ2))).
% 27.30/4.00 fof(ax1_289, axiom, ![OBJ2]: ~(collection(OBJ2) & individual(OBJ2))).
% 27.30/4.00 fof(ax1_3, axiom, ![OBJ2]: ~(intangible(OBJ2) & partiallytangible(OBJ2))).
% 27.30/4.00 fof(ax1_363, axiom, ![COL1, COL2, OBJ2]: ~(isa(OBJ2, COL1) & (isa(OBJ2, COL2) & disjointwith(COL1, COL2)))).
% 27.30/4.00 fof(ax1_447, axiom, individual(c_tptptptpcol_16_8398)).
% 27.30/4.00 fof(ax1_488, axiom, ![OBJ2]: ~(tptpcol_3_98305(OBJ2) & tptpcol_3_114688(OBJ2))).
% 27.30/4.00 fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)).
% 27.30/4.00 fof(ax1_698, axiom, ![X2]: ~objectfoundinlocation(X2, X2)).
% 27.30/4.00 fof(ax1_901, axiom, ![X2]: ~borderson(X2, X2)).
% 27.30/4.00 fof(query81, conjecture, ~disjointwith(c_tptptptpcol_16_8398, c_tptpcol_16_18488)).
% 27.30/4.00
% 27.30/4.00 Now clausify the problem and encode Horn clauses using encoding 3 of
% 27.30/4.00 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 27.30/4.00 We repeatedly replace C & s=t => u=v by the two clauses:
% 27.30/4.00 fresh(y, y, x1...xn) = u
% 27.30/4.00 C => fresh(s, t, x1...xn) = v
% 27.30/4.00 where fresh is a fresh function symbol and x1..xn are the free
% 27.30/4.00 variables of u and v.
% 27.30/4.00 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 27.30/4.00 input problem has no model of domain size 1).
% 27.30/4.00
% 27.30/4.00 The encoding turns the above axioms into the following unit equations and goals:
% 27.30/4.00
% 27.30/4.00 Axiom 1 (ax1_447): individual(c_tptptptpcol_16_8398) = true2.
% 27.30/4.00 Axiom 2 (query81): disjointwith(c_tptptptpcol_16_8398, c_tptpcol_16_18488) = true2.
% 27.30/4.00 Axiom 3 (ax1_1119): fresh688(X, X, Y) = true2.
% 27.30/4.00 Axiom 4 (ax1_1119): fresh688(disjointwith(X, Y), true2, X) = collection(X).
% 27.30/4.00
% 27.30/4.01 Goal 1 (ax1_289): tuple2(individual(X), collection(X)) = tuple2(true2, true2).
% 27.30/4.01 The goal is true when:
% 27.30/4.01 X = c_tptptptpcol_16_8398
% 27.30/4.01
% 27.30/4.01 Proof:
% 27.30/4.01 tuple2(individual(c_tptptptpcol_16_8398), collection(c_tptptptpcol_16_8398))
% 27.30/4.01 = { by axiom 4 (ax1_1119) R->L }
% 27.30/4.01 tuple2(individual(c_tptptptpcol_16_8398), fresh688(disjointwith(c_tptptptpcol_16_8398, c_tptpcol_16_18488), true2, c_tptptptpcol_16_8398))
% 27.30/4.01 = { by axiom 2 (query81) }
% 27.30/4.01 tuple2(individual(c_tptptptpcol_16_8398), fresh688(true2, true2, c_tptptptpcol_16_8398))
% 27.30/4.01 = { by axiom 3 (ax1_1119) }
% 27.30/4.01 tuple2(individual(c_tptptptpcol_16_8398), true2)
% 27.30/4.01 = { by axiom 1 (ax1_447) }
% 27.30/4.01 tuple2(true2, true2)
% 27.30/4.01 % SZS output end Proof
% 27.30/4.01
% 27.30/4.01 RESULT: Theorem (the conjecture is true).
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