TSTP Solution File: SWV957-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SWV957-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n009.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 : Thu Aug 31 23:06:54 EDT 2023
% Result : Unsatisfiable 3.25s 0.79s
% Output : Proof 3.25s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV957-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 10:46:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.25/0.79 Command-line arguments: --no-flatten-goal
% 3.25/0.79
% 3.25/0.79 % SZS status Unsatisfiable
% 3.25/0.79
% 3.25/0.80 % SZS output start Proof
% 3.25/0.80 Take the following subset of the input axioms:
% 3.25/0.80 fof(cls_UClass_0, axiom, v_U____=c_Type_Oty_OClass(v_C_H____)).
% 3.25/0.80 fof(cls_conjecture_0, negated_conjecture, ~c_WellTypeRT_OWTrt(v_P, v_h_Ha____, v_E____, v_e_Ha____, c_Type_Oty_OClass(v_C_H____))).
% 3.25/0.80 fof(cls_wt_092_060_094isub_0621_H_0, axiom, c_WellTypeRT_OWTrt(v_P, v_h_Ha____, v_E____, v_e_Ha____, v_U____)).
% 3.25/0.80
% 3.25/0.80 Now clausify the problem and encode Horn clauses using encoding 3 of
% 3.25/0.80 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 3.25/0.80 We repeatedly replace C & s=t => u=v by the two clauses:
% 3.25/0.80 fresh(y, y, x1...xn) = u
% 3.25/0.80 C => fresh(s, t, x1...xn) = v
% 3.25/0.80 where fresh is a fresh function symbol and x1..xn are the free
% 3.25/0.80 variables of u and v.
% 3.25/0.80 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 3.25/0.80 input problem has no model of domain size 1).
% 3.25/0.80
% 3.25/0.80 The encoding turns the above axioms into the following unit equations and goals:
% 3.25/0.80
% 3.25/0.80 Axiom 1 (cls_UClass_0): v_U____ = c_Type_Oty_OClass(v_C_H____).
% 3.25/0.80 Axiom 2 (cls_wt_092_060_094isub_0621_H_0): c_WellTypeRT_OWTrt(v_P, v_h_Ha____, v_E____, v_e_Ha____, v_U____) = true2.
% 3.25/0.80
% 3.25/0.80 Goal 1 (cls_conjecture_0): c_WellTypeRT_OWTrt(v_P, v_h_Ha____, v_E____, v_e_Ha____, c_Type_Oty_OClass(v_C_H____)) = true2.
% 3.25/0.80 Proof:
% 3.25/0.80 c_WellTypeRT_OWTrt(v_P, v_h_Ha____, v_E____, v_e_Ha____, c_Type_Oty_OClass(v_C_H____))
% 3.25/0.80 = { by axiom 1 (cls_UClass_0) R->L }
% 3.25/0.80 c_WellTypeRT_OWTrt(v_P, v_h_Ha____, v_E____, v_e_Ha____, v_U____)
% 3.25/0.80 = { by axiom 2 (cls_wt_092_060_094isub_0621_H_0) }
% 3.25/0.80 true2
% 3.25/0.80 % SZS output end Proof
% 3.25/0.80
% 3.25/0.80 RESULT: Unsatisfiable (the axioms are contradictory).
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