TSTP Solution File: CSR052+2 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : CSR052+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 : n017.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 21:41:26 EDT 2023
% Result : Theorem 258.21s 33.25s
% Output : Proof 258.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CSR052+2 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 08:59:42 EDT 2023
% 0.14/0.36 % CPUTime :
% 258.21/33.25 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 258.21/33.25
% 258.21/33.25 % SZS status Theorem
% 258.21/33.25
% 258.21/33.26 % SZS output start Proof
% 258.21/33.26 Take the following subset of the input axioms:
% 258.21/33.26 fof(ax1_1109, axiom, ![X, Y, Z]: ((genls(X, Y) & genls(Y, Z)) => genls(X, Z))).
% 258.21/33.26 fof(ax1_16, axiom, genls(c_tptpcol_13_40421, c_tptpcol_12_40420)).
% 258.21/33.26 fof(ax1_186, axiom, genls(c_tptpcol_14_40429, c_tptpcol_13_40421)).
% 258.21/33.26 fof(ax1_4, axiom, genls(c_tptpcol_15_40430, c_tptpcol_14_40429)).
% 258.21/33.26 fof(ax1_424, axiom, genls(c_tptpcol_11_40388, c_tptpcol_10_40324)).
% 258.21/33.26 fof(ax1_438, axiom, genls(c_tptpcol_8_39940, c_tptpcol_7_39939)).
% 258.21/33.26 fof(ax1_470, axiom, genls(c_tptpcol_9_40196, c_tptpcol_8_39940)).
% 258.21/33.26 fof(ax1_54, axiom, genls(c_tptpcol_12_40420, c_tptpcol_11_40388)).
% 258.21/33.26 fof(ax1_76, axiom, genls(c_tptpcol_10_40324, c_tptpcol_9_40196)).
% 258.21/33.26 fof(query102, conjecture, mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml)), c_translation_33)) => genls(c_tptpcol_15_40430, c_tptpcol_7_39939)).
% 258.21/33.26
% 258.21/33.26 Now clausify the problem and encode Horn clauses using encoding 3 of
% 258.21/33.26 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 258.21/33.26 We repeatedly replace C & s=t => u=v by the two clauses:
% 258.21/33.26 fresh(y, y, x1...xn) = u
% 258.21/33.26 C => fresh(s, t, x1...xn) = v
% 258.21/33.26 where fresh is a fresh function symbol and x1..xn are the free
% 258.21/33.26 variables of u and v.
% 258.21/33.26 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 258.21/33.26 input problem has no model of domain size 1).
% 258.21/33.26
% 258.21/33.26 The encoding turns the above axioms into the following unit equations and goals:
% 258.21/33.26
% 258.21/33.26 Axiom 1 (ax1_4): genls(c_tptpcol_15_40430, c_tptpcol_14_40429) = true2.
% 258.21/33.26 Axiom 2 (ax1_186): genls(c_tptpcol_14_40429, c_tptpcol_13_40421) = true2.
% 258.21/33.26 Axiom 3 (ax1_16): genls(c_tptpcol_13_40421, c_tptpcol_12_40420) = true2.
% 258.21/33.26 Axiom 4 (ax1_54): genls(c_tptpcol_12_40420, c_tptpcol_11_40388) = true2.
% 258.21/33.26 Axiom 5 (ax1_424): genls(c_tptpcol_11_40388, c_tptpcol_10_40324) = true2.
% 258.21/33.26 Axiom 6 (ax1_76): genls(c_tptpcol_10_40324, c_tptpcol_9_40196) = true2.
% 258.21/33.26 Axiom 7 (ax1_470): genls(c_tptpcol_9_40196, c_tptpcol_8_39940) = true2.
% 258.21/33.26 Axiom 8 (ax1_438): genls(c_tptpcol_8_39940, c_tptpcol_7_39939) = true2.
% 258.21/33.26 Axiom 9 (ax1_1109): fresh700(X, X, Y, Z) = true2.
% 258.21/33.26 Axiom 10 (ax1_1109): fresh701(X, X, Y, Z, W) = genls(Y, W).
% 258.21/33.27 Axiom 11 (ax1_1109): fresh701(genls(X, Y), true2, Z, X, Y) = fresh700(genls(Z, X), true2, Z, Y).
% 258.21/33.27
% 258.21/33.27 Goal 1 (query102_1): genls(c_tptpcol_15_40430, c_tptpcol_7_39939) = true2.
% 258.21/33.27 Proof:
% 258.21/33.27 genls(c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 10 (ax1_1109) R->L }
% 258.21/33.27 fresh701(true2, true2, c_tptpcol_15_40430, c_tptpcol_8_39940, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 8 (ax1_438) R->L }
% 258.21/33.27 fresh701(genls(c_tptpcol_8_39940, c_tptpcol_7_39939), true2, c_tptpcol_15_40430, c_tptpcol_8_39940, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 11 (ax1_1109) }
% 258.21/33.27 fresh700(genls(c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 10 (ax1_1109) R->L }
% 258.21/33.27 fresh700(fresh701(true2, true2, c_tptpcol_15_40430, c_tptpcol_9_40196, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 7 (ax1_470) R->L }
% 258.21/33.27 fresh700(fresh701(genls(c_tptpcol_9_40196, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_9_40196, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 11 (ax1_1109) }
% 258.21/33.27 fresh700(fresh700(genls(c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 10 (ax1_1109) R->L }
% 258.21/33.27 fresh700(fresh700(fresh701(true2, true2, c_tptpcol_15_40430, c_tptpcol_10_40324, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 6 (ax1_76) R->L }
% 258.21/33.27 fresh700(fresh700(fresh701(genls(c_tptpcol_10_40324, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_10_40324, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 11 (ax1_1109) }
% 258.21/33.27 fresh700(fresh700(fresh700(genls(c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 10 (ax1_1109) R->L }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh701(true2, true2, c_tptpcol_15_40430, c_tptpcol_11_40388, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 5 (ax1_424) R->L }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh701(genls(c_tptpcol_11_40388, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_11_40388, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 11 (ax1_1109) }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(genls(c_tptpcol_15_40430, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 10 (ax1_1109) R->L }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh701(true2, true2, c_tptpcol_15_40430, c_tptpcol_12_40420, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 4 (ax1_54) R->L }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh701(genls(c_tptpcol_12_40420, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_12_40420, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 11 (ax1_1109) }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh700(genls(c_tptpcol_15_40430, c_tptpcol_12_40420), true2, c_tptpcol_15_40430, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 10 (ax1_1109) R->L }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh700(fresh701(true2, true2, c_tptpcol_15_40430, c_tptpcol_13_40421, c_tptpcol_12_40420), true2, c_tptpcol_15_40430, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 3 (ax1_16) R->L }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh700(fresh701(genls(c_tptpcol_13_40421, c_tptpcol_12_40420), true2, c_tptpcol_15_40430, c_tptpcol_13_40421, c_tptpcol_12_40420), true2, c_tptpcol_15_40430, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 11 (ax1_1109) }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh700(fresh700(genls(c_tptpcol_15_40430, c_tptpcol_13_40421), true2, c_tptpcol_15_40430, c_tptpcol_12_40420), true2, c_tptpcol_15_40430, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 10 (ax1_1109) R->L }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh700(fresh700(fresh701(true2, true2, c_tptpcol_15_40430, c_tptpcol_14_40429, c_tptpcol_13_40421), true2, c_tptpcol_15_40430, c_tptpcol_12_40420), true2, c_tptpcol_15_40430, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 2 (ax1_186) R->L }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh700(fresh700(fresh701(genls(c_tptpcol_14_40429, c_tptpcol_13_40421), true2, c_tptpcol_15_40430, c_tptpcol_14_40429, c_tptpcol_13_40421), true2, c_tptpcol_15_40430, c_tptpcol_12_40420), true2, c_tptpcol_15_40430, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 11 (ax1_1109) }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh700(fresh700(fresh700(genls(c_tptpcol_15_40430, c_tptpcol_14_40429), true2, c_tptpcol_15_40430, c_tptpcol_13_40421), true2, c_tptpcol_15_40430, c_tptpcol_12_40420), true2, c_tptpcol_15_40430, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 1 (ax1_4) }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh700(fresh700(fresh700(true2, true2, c_tptpcol_15_40430, c_tptpcol_13_40421), true2, c_tptpcol_15_40430, c_tptpcol_12_40420), true2, c_tptpcol_15_40430, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 9 (ax1_1109) }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh700(fresh700(true2, true2, c_tptpcol_15_40430, c_tptpcol_12_40420), true2, c_tptpcol_15_40430, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 9 (ax1_1109) }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(fresh700(true2, true2, c_tptpcol_15_40430, c_tptpcol_11_40388), true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 9 (ax1_1109) }
% 258.21/33.27 fresh700(fresh700(fresh700(fresh700(true2, true2, c_tptpcol_15_40430, c_tptpcol_10_40324), true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 9 (ax1_1109) }
% 258.21/33.27 fresh700(fresh700(fresh700(true2, true2, c_tptpcol_15_40430, c_tptpcol_9_40196), true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 9 (ax1_1109) }
% 258.21/33.27 fresh700(fresh700(true2, true2, c_tptpcol_15_40430, c_tptpcol_8_39940), true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 9 (ax1_1109) }
% 258.21/33.27 fresh700(true2, true2, c_tptpcol_15_40430, c_tptpcol_7_39939)
% 258.21/33.27 = { by axiom 9 (ax1_1109) }
% 258.21/33.27 true2
% 258.21/33.27 % SZS output end Proof
% 258.21/33.27
% 258.21/33.27 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------