TSTP Solution File: SWV972-1 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWV972-1 : 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 : n003.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 23:06:57 EDT 2023
% Result : Unsatisfiable 16.08s 2.50s
% Output : Proof 16.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV972-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.11 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 03:21:25 EDT 2023
% 0.11/0.32 % CPUTime :
% 16.08/2.50 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 16.08/2.50
% 16.08/2.50 % SZS status Unsatisfiable
% 16.08/2.50
% 16.56/2.50 % SZS output start Proof
% 16.56/2.50 Take the following subset of the input axioms:
% 16.56/2.50 fof(cls_CHAINED_0, axiom, c_WellTypeRT_OWTrts(v_P, v_h_Ha____, v_E____, v_es_Ha____, v_sko__CHAINED__1(v_E____, v_P, v_Us____, v_es_Ha____, v_h_Ha____))).
% 16.56/2.50 fof(cls_CHAINED_1, axiom, c_List_Olist__all2(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_Us____, v_es_Ha____, v_h_Ha____), v_Us____, tc_Type_Oty, tc_Type_Oty)).
% 16.56/2.50 fof(cls_conjecture_0, negated_conjecture, ~v_thesis____).
% 16.56/2.50 fof(cls_conjecture_1, negated_conjecture, ![V_x]: (v_thesis____ | (~c_List_Olist__all2(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_x, v_Us____, tc_Type_Oty, tc_Type_Oty) | ~c_WellTypeRT_OWTrts(v_P, v_h_Ha____, v_E____, v_es_Ha____, V_x)))).
% 16.56/2.50
% 16.56/2.50 Now clausify the problem and encode Horn clauses using encoding 3 of
% 16.56/2.50 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 16.56/2.50 We repeatedly replace C & s=t => u=v by the two clauses:
% 16.56/2.50 fresh(y, y, x1...xn) = u
% 16.56/2.50 C => fresh(s, t, x1...xn) = v
% 16.56/2.50 where fresh is a fresh function symbol and x1..xn are the free
% 16.56/2.50 variables of u and v.
% 16.56/2.50 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 16.56/2.50 input problem has no model of domain size 1).
% 16.56/2.50
% 16.56/2.50 The encoding turns the above axioms into the following unit equations and goals:
% 16.56/2.50
% 16.56/2.50 Axiom 1 (cls_conjecture_1): fresh241(X, X) = true2.
% 16.56/2.50 Axiom 2 (cls_conjecture_1): fresh242(X, X, Y) = v_thesis____.
% 16.56/2.50 Axiom 3 (cls_CHAINED_0): c_WellTypeRT_OWTrts(v_P, v_h_Ha____, v_E____, v_es_Ha____, v_sko__CHAINED__1(v_E____, v_P, v_Us____, v_es_Ha____, v_h_Ha____)) = true2.
% 16.56/2.50 Axiom 4 (cls_conjecture_1): fresh242(c_WellTypeRT_OWTrts(v_P, v_h_Ha____, v_E____, v_es_Ha____, X), true2, X) = fresh241(c_List_Olist__all2(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_Us____, tc_Type_Oty, tc_Type_Oty), true2).
% 16.56/2.50 Axiom 5 (cls_CHAINED_1): c_List_Olist__all2(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_Us____, v_es_Ha____, v_h_Ha____), v_Us____, tc_Type_Oty, tc_Type_Oty) = true2.
% 16.56/2.50
% 16.56/2.50 Goal 1 (cls_conjecture_0): v_thesis____ = true2.
% 16.56/2.50 Proof:
% 16.56/2.50 v_thesis____
% 16.56/2.50 = { by axiom 2 (cls_conjecture_1) R->L }
% 16.56/2.50 fresh242(true2, true2, v_sko__CHAINED__1(v_E____, v_P, v_Us____, v_es_Ha____, v_h_Ha____))
% 16.56/2.50 = { by axiom 3 (cls_CHAINED_0) R->L }
% 16.56/2.50 fresh242(c_WellTypeRT_OWTrts(v_P, v_h_Ha____, v_E____, v_es_Ha____, v_sko__CHAINED__1(v_E____, v_P, v_Us____, v_es_Ha____, v_h_Ha____)), true2, v_sko__CHAINED__1(v_E____, v_P, v_Us____, v_es_Ha____, v_h_Ha____))
% 16.56/2.50 = { by axiom 4 (cls_conjecture_1) }
% 16.56/2.50 fresh241(c_List_Olist__all2(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_Us____, v_es_Ha____, v_h_Ha____), v_Us____, tc_Type_Oty, tc_Type_Oty), true2)
% 16.56/2.50 = { by axiom 5 (cls_CHAINED_1) }
% 16.56/2.50 fresh241(true2, true2)
% 16.56/2.50 = { by axiom 1 (cls_conjecture_1) }
% 16.56/2.50 true2
% 16.56/2.50 % SZS output end Proof
% 16.56/2.50
% 16.56/2.50 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------