TSTP Solution File: CSR047+2 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : CSR047+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 : n013.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 21:41:21 EDT 2023
% Result : Theorem 25.60s 3.60s
% Output : Proof 25.60s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR047+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
% 0.14/0.34 % Computer : n013.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 : Mon Aug 28 13:51:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 25.60/3.60 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 25.60/3.60
% 25.60/3.60 % SZS status Theorem
% 25.60/3.60
% 25.60/3.60 % SZS output start Proof
% 25.60/3.60 Take the following subset of the input axioms:
% 25.60/3.60 fof(ax1_383, axiom, mtvisible(c_tptpgeo_member4_mt) => borderson(c_georegion_l4_x36_y50, c_georegion_l4_x37_y50)).
% 25.60/3.60 fof(ax1_900, axiom, ![X, Y]: (borderson(X, Y) => borderson(Y, X))).
% 25.60/3.60 fof(query97, conjecture, mtvisible(c_tptpgeo_member4_mt) => borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50)).
% 25.60/3.60
% 25.60/3.60 Now clausify the problem and encode Horn clauses using encoding 3 of
% 25.60/3.60 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 25.60/3.60 We repeatedly replace C & s=t => u=v by the two clauses:
% 25.60/3.60 fresh(y, y, x1...xn) = u
% 25.60/3.60 C => fresh(s, t, x1...xn) = v
% 25.60/3.60 where fresh is a fresh function symbol and x1..xn are the free
% 25.60/3.60 variables of u and v.
% 25.60/3.60 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 25.60/3.60 input problem has no model of domain size 1).
% 25.60/3.60
% 25.60/3.60 The encoding turns the above axioms into the following unit equations and goals:
% 25.60/3.60
% 25.60/3.60 Axiom 1 (query97): mtvisible(c_tptpgeo_member4_mt) = true2.
% 25.60/3.60 Axiom 2 (ax1_383): fresh544(X, X) = true2.
% 25.60/3.60 Axiom 3 (ax1_383): fresh544(mtvisible(c_tptpgeo_member4_mt), true2) = borderson(c_georegion_l4_x36_y50, c_georegion_l4_x37_y50).
% 25.60/3.60 Axiom 4 (ax1_900): fresh93(X, X, Y, Z) = true2.
% 25.60/3.60 Axiom 5 (ax1_900): fresh93(borderson(X, Y), true2, X, Y) = borderson(Y, X).
% 25.60/3.60
% 25.60/3.60 Goal 1 (query97_1): borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50) = true2.
% 25.60/3.60 Proof:
% 25.60/3.60 borderson(c_georegion_l4_x37_y50, c_georegion_l4_x36_y50)
% 25.60/3.60 = { by axiom 5 (ax1_900) R->L }
% 25.60/3.60 fresh93(borderson(c_georegion_l4_x36_y50, c_georegion_l4_x37_y50), true2, c_georegion_l4_x36_y50, c_georegion_l4_x37_y50)
% 25.60/3.60 = { by axiom 3 (ax1_383) R->L }
% 25.60/3.60 fresh93(fresh544(mtvisible(c_tptpgeo_member4_mt), true2), true2, c_georegion_l4_x36_y50, c_georegion_l4_x37_y50)
% 25.60/3.60 = { by axiom 1 (query97) }
% 25.60/3.60 fresh93(fresh544(true2, true2), true2, c_georegion_l4_x36_y50, c_georegion_l4_x37_y50)
% 25.60/3.60 = { by axiom 2 (ax1_383) }
% 25.60/3.60 fresh93(true2, true2, c_georegion_l4_x36_y50, c_georegion_l4_x37_y50)
% 25.60/3.60 = { by axiom 4 (ax1_900) }
% 25.60/3.60 true2
% 25.60/3.60 % SZS output end Proof
% 25.60/3.60
% 25.60/3.60 RESULT: Theorem (the conjecture is true).
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