TSTP Solution File: SWV961-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SWV961-1 : 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 : n018.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 23:06:55 EDT 2023
% Result : Unsatisfiable 20.83s 3.03s
% Output : Proof 20.83s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV961-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 04:55:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 20.83/3.03 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 20.83/3.03
% 20.83/3.03 % SZS status Unsatisfiable
% 20.83/3.03
% 20.83/3.03 % SZS output start Proof
% 20.83/3.03 Take the following subset of the input axioms:
% 20.83/3.03 fof(cls_CHAINED_0, axiom, c_WellTypeRT_OWTrt(v_P, v_h_Ha____, v_E____, v_e_092_060_094isub_0622_H____, v_sko__CHAINED__1(v_E____, v_P, v_T_092_060_094isub_0622____, v_e_092_060_094isub_0622_H____, v_h_Ha____))).
% 20.83/3.03 fof(cls_CHAINED_1, axiom, hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P, tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)), tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))), v_sko__CHAINED__1(v_E____, v_P, v_T_092_060_094isub_0622____, v_e_092_060_094isub_0622_H____, v_h_Ha____)), v_T_092_060_094isub_0622____))).
% 20.83/3.03 fof(cls_conjecture_0, negated_conjecture, ~v_thesis____).
% 20.83/3.03 fof(cls_that_0, axiom, ![V_T_092_060_094isub_0622_H]: (v_thesis____ | (~hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P, tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)), tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))), V_T_092_060_094isub_0622_H), v_T_092_060_094isub_0622____)) | ~c_WellTypeRT_OWTrt(v_P, v_h_Ha____, v_E____, v_e_092_060_094isub_0622_H____, V_T_092_060_094isub_0622_H)))).
% 20.83/3.03
% 20.83/3.03 Now clausify the problem and encode Horn clauses using encoding 3 of
% 20.83/3.03 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 20.83/3.03 We repeatedly replace C & s=t => u=v by the two clauses:
% 20.83/3.03 fresh(y, y, x1...xn) = u
% 20.83/3.03 C => fresh(s, t, x1...xn) = v
% 20.83/3.03 where fresh is a fresh function symbol and x1..xn are the free
% 20.83/3.03 variables of u and v.
% 20.83/3.03 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 20.83/3.03 input problem has no model of domain size 1).
% 20.83/3.03
% 20.83/3.03 The encoding turns the above axioms into the following unit equations and goals:
% 20.83/3.03
% 20.83/3.03 Axiom 1 (cls_that_0): fresh73(X, X) = true2.
% 20.83/3.03 Axiom 2 (cls_that_0): fresh74(X, X, Y) = v_thesis____.
% 20.83/3.03 Axiom 3 (cls_CHAINED_0): c_WellTypeRT_OWTrt(v_P, v_h_Ha____, v_E____, v_e_092_060_094isub_0622_H____, v_sko__CHAINED__1(v_E____, v_P, v_T_092_060_094isub_0622____, v_e_092_060_094isub_0622_H____, v_h_Ha____)) = true2.
% 20.83/3.03 Axiom 4 (cls_that_0): fresh74(hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P, tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)), tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))), X), v_T_092_060_094isub_0622____)), true2, X) = fresh73(c_WellTypeRT_OWTrt(v_P, v_h_Ha____, v_E____, v_e_092_060_094isub_0622_H____, X), true2).
% 20.83/3.03 Axiom 5 (cls_CHAINED_1): hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P, tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)), tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))), v_sko__CHAINED__1(v_E____, v_P, v_T_092_060_094isub_0622____, v_e_092_060_094isub_0622_H____, v_h_Ha____)), v_T_092_060_094isub_0622____)) = true2.
% 20.83/3.03
% 20.83/3.03 Goal 1 (cls_conjecture_0): v_thesis____ = true2.
% 20.83/3.03 Proof:
% 20.83/3.03 v_thesis____
% 20.83/3.03 = { by axiom 2 (cls_that_0) R->L }
% 20.83/3.03 fresh74(true2, true2, v_sko__CHAINED__1(v_E____, v_P, v_T_092_060_094isub_0622____, v_e_092_060_094isub_0622_H____, v_h_Ha____))
% 20.83/3.03 = { by axiom 5 (cls_CHAINED_1) R->L }
% 20.83/3.03 fresh74(hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P, tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)), tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))), v_sko__CHAINED__1(v_E____, v_P, v_T_092_060_094isub_0622____, v_e_092_060_094isub_0622_H____, v_h_Ha____)), v_T_092_060_094isub_0622____)), true2, v_sko__CHAINED__1(v_E____, v_P, v_T_092_060_094isub_0622____, v_e_092_060_094isub_0622_H____, v_h_Ha____))
% 20.83/3.03 = { by axiom 4 (cls_that_0) }
% 20.83/3.03 fresh73(c_WellTypeRT_OWTrt(v_P, v_h_Ha____, v_E____, v_e_092_060_094isub_0622_H____, v_sko__CHAINED__1(v_E____, v_P, v_T_092_060_094isub_0622____, v_e_092_060_094isub_0622_H____, v_h_Ha____)), true2)
% 20.83/3.03 = { by axiom 3 (cls_CHAINED_0) }
% 20.83/3.03 fresh73(true2, true2)
% 20.83/3.03 = { by axiom 1 (cls_that_0) }
% 20.83/3.03 true2
% 20.83/3.03 % SZS output end Proof
% 20.83/3.03
% 20.83/3.03 RESULT: Unsatisfiable (the axioms are contradictory).
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