TSTP Solution File: CSR030+2 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR030+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 : 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 21:41:05 EDT 2023
% Result : Theorem 60.65s 8.07s
% Output : Proof 60.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR030+2 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 09:27:29 EDT 2023
% 0.13/0.34 % CPUTime :
% 60.65/8.07 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 60.65/8.07
% 60.65/8.07 % SZS status Theorem
% 60.65/8.07
% 60.65/8.08 % SZS output start Proof
% 60.65/8.08 Take the following subset of the input axioms:
% 60.65/8.08 fof(ax1_1123, axiom, ![SPECMT, GENLMT]: ((mtvisible(SPECMT) & genlmt(SPECMT, GENLMT)) => mtvisible(GENLMT))).
% 60.65/8.08 fof(ax1_133, axiom, genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt)).
% 60.65/8.08 fof(ax1_153, axiom, ![OBJ]: ~(tptpcol_1_1(OBJ) & tptpcol_1_65536(OBJ))).
% 60.65/8.08 fof(ax1_167, axiom, ![OBJ2]: ~(individual(OBJ2) & setorcollection(OBJ2))).
% 60.65/8.08 fof(ax1_289, axiom, ![OBJ2]: ~(collection(OBJ2) & individual(OBJ2))).
% 60.65/8.08 fof(ax1_3, axiom, ![OBJ2]: ~(intangible(OBJ2) & partiallytangible(OBJ2))).
% 60.65/8.08 fof(ax1_302, axiom, ![ARG1, ARG2]: (tptptypes_7_389(ARG1, ARG2) => tptptypes_6_388(ARG2, ARG1))).
% 60.65/8.08 fof(ax1_363, axiom, ![COL1, COL2, OBJ2]: ~(isa(OBJ2, COL1) & (isa(OBJ2, COL2) & disjointwith(COL1, COL2)))).
% 60.65/8.08 fof(ax1_451, axiom, mtvisible(c_tptp_spindleheadmt) => tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451)).
% 60.65/8.08 fof(ax1_488, axiom, ![OBJ2]: ~(tptpcol_3_98305(OBJ2) & tptpcol_3_114688(OBJ2))).
% 60.65/8.08 fof(ax1_521, axiom, ![X]: ~affiliatedwith(X, X)).
% 60.65/8.08 fof(ax1_698, axiom, ![X2]: ~objectfoundinlocation(X2, X2)).
% 60.65/8.08 fof(ax1_901, axiom, ![X2]: ~borderson(X2, X2)).
% 60.65/8.08 fof(ax1_99, axiom, ![ARG2_2, ARG1_2]: (tptptypes_6_388(ARG1_2, ARG2_2) => tptptypes_5_387(ARG1_2, ARG2_2))).
% 60.65/8.08 fof(query80, conjecture, ?[ARG2_2]: (mtvisible(c_tptp_member3393_mt) => tptptypes_5_387(ARG2_2, c_pushingwithopenhand))).
% 60.65/8.08
% 60.65/8.08 Now clausify the problem and encode Horn clauses using encoding 3 of
% 60.65/8.08 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 60.65/8.08 We repeatedly replace C & s=t => u=v by the two clauses:
% 60.65/8.08 fresh(y, y, x1...xn) = u
% 60.65/8.08 C => fresh(s, t, x1...xn) = v
% 60.65/8.08 where fresh is a fresh function symbol and x1..xn are the free
% 60.65/8.08 variables of u and v.
% 60.65/8.08 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 60.65/8.08 input problem has no model of domain size 1).
% 60.65/8.08
% 60.65/8.08 The encoding turns the above axioms into the following unit equations and goals:
% 60.65/8.08
% 60.65/8.08 Axiom 1 (query80): mtvisible(c_tptp_member3393_mt) = true2.
% 60.65/8.08 Axiom 2 (ax1_451): fresh508(X, X) = true2.
% 60.65/8.08 Axiom 3 (ax1_133): genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt) = true2.
% 60.65/8.08 Axiom 4 (ax1_1123): fresh680(X, X, Y) = true2.
% 60.65/8.08 Axiom 5 (ax1_451): fresh508(mtvisible(c_tptp_spindleheadmt), true2) = tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451).
% 60.65/8.08 Axiom 6 (ax1_1123): fresh681(X, X, Y, Z) = mtvisible(Z).
% 60.65/8.08 Axiom 7 (ax1_302): fresh580(X, X, Y, Z) = true2.
% 60.65/8.08 Axiom 8 (ax1_99): fresh11(X, X, Y, Z) = true2.
% 60.65/8.08 Axiom 9 (ax1_1123): fresh681(mtvisible(X), true2, X, Y) = fresh680(genlmt(X, Y), true2, Y).
% 60.65/8.08 Axiom 10 (ax1_302): fresh580(tptptypes_7_389(X, Y), true2, X, Y) = tptptypes_6_388(Y, X).
% 60.65/8.08 Axiom 11 (ax1_99): fresh11(tptptypes_6_388(X, Y), true2, X, Y) = tptptypes_5_387(X, Y).
% 60.65/8.08
% 60.65/8.08 Goal 1 (query80_1): tptptypes_5_387(X, c_pushingwithopenhand) = true2.
% 60.65/8.08 The goal is true when:
% 60.65/8.08 X = c_tptpcol_16_4451
% 60.65/8.08
% 60.65/8.08 Proof:
% 60.65/8.08 tptptypes_5_387(c_tptpcol_16_4451, c_pushingwithopenhand)
% 60.65/8.08 = { by axiom 11 (ax1_99) R->L }
% 60.65/8.08 fresh11(tptptypes_6_388(c_tptpcol_16_4451, c_pushingwithopenhand), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
% 60.65/8.08 = { by axiom 10 (ax1_302) R->L }
% 60.65/8.08 fresh11(fresh580(tptptypes_7_389(c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
% 60.65/8.08 = { by axiom 5 (ax1_451) R->L }
% 60.65/8.08 fresh11(fresh580(fresh508(mtvisible(c_tptp_spindleheadmt), true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
% 60.65/8.08 = { by axiom 6 (ax1_1123) R->L }
% 60.65/8.08 fresh11(fresh580(fresh508(fresh681(true2, true2, c_tptp_member3393_mt, c_tptp_spindleheadmt), true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
% 60.65/8.08 = { by axiom 1 (query80) R->L }
% 60.65/8.08 fresh11(fresh580(fresh508(fresh681(mtvisible(c_tptp_member3393_mt), true2, c_tptp_member3393_mt, c_tptp_spindleheadmt), true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
% 60.65/8.08 = { by axiom 9 (ax1_1123) }
% 60.65/8.08 fresh11(fresh580(fresh508(fresh680(genlmt(c_tptp_member3393_mt, c_tptp_spindleheadmt), true2, c_tptp_spindleheadmt), true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
% 60.65/8.08 = { by axiom 3 (ax1_133) }
% 60.65/8.08 fresh11(fresh580(fresh508(fresh680(true2, true2, c_tptp_spindleheadmt), true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
% 60.65/8.08 = { by axiom 4 (ax1_1123) }
% 60.65/8.08 fresh11(fresh580(fresh508(true2, true2), true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
% 60.65/8.08 = { by axiom 2 (ax1_451) }
% 60.65/8.08 fresh11(fresh580(true2, true2, c_pushingwithopenhand, c_tptpcol_16_4451), true2, c_tptpcol_16_4451, c_pushingwithopenhand)
% 60.65/8.08 = { by axiom 7 (ax1_302) }
% 60.65/8.08 fresh11(true2, true2, c_tptpcol_16_4451, c_pushingwithopenhand)
% 60.65/8.08 = { by axiom 8 (ax1_99) }
% 60.65/8.08 true2
% 60.65/8.08 % SZS output end Proof
% 60.65/8.08
% 60.65/8.08 RESULT: Theorem (the conjecture is true).
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