TSTP Solution File: LCL822-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : LCL822-1 : 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 : n028.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 08:20:50 EDT 2023
% Result : Unsatisfiable 4.65s 0.96s
% Output : Proof 4.65s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL822-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 20:55:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.65/0.96 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 4.65/0.96
% 4.65/0.96 % SZS status Unsatisfiable
% 4.65/0.96
% 4.65/0.96 % SZS output start Proof
% 4.65/0.96 Take the following subset of the input axioms:
% 4.65/0.96 fof(cls_CHAINED_0, axiom, c_Type_Otypings(c_Type_Oshift(v_e____, v_i____, v_T____, tc_Type_Otype), v_rs____, v_Ts____)).
% 4.65/0.96 fof(cls_conjecture_0, negated_conjecture, ~c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype), c_Type_Otyping(c_Type_Oshift(v_e____, v_i____, v_T____, tc_Type_Otype)), tc_fun(tc_Type_Otype, tc_bool), tc_bool, tc_Lambda_OdB), v_rs____, tc_Lambda_OdB)).
% 4.65/0.96 fof(cls_lists__typings_0, axiom, ![V_e, V_ts, V_Ts]: (c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype), c_Type_Otyping(V_e), tc_fun(tc_Type_Otype, tc_bool), tc_bool, tc_Lambda_OdB), V_ts, tc_Lambda_OdB) | ~c_Type_Otypings(V_e, V_ts, V_Ts))).
% 4.65/0.96
% 4.65/0.96 Now clausify the problem and encode Horn clauses using encoding 3 of
% 4.65/0.96 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 4.65/0.96 We repeatedly replace C & s=t => u=v by the two clauses:
% 4.65/0.96 fresh(y, y, x1...xn) = u
% 4.65/0.96 C => fresh(s, t, x1...xn) = v
% 4.65/0.96 where fresh is a fresh function symbol and x1..xn are the free
% 4.65/0.96 variables of u and v.
% 4.65/0.96 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 4.65/0.96 input problem has no model of domain size 1).
% 4.65/0.96
% 4.65/0.96 The encoding turns the above axioms into the following unit equations and goals:
% 4.65/0.96
% 4.65/0.96 Axiom 1 (cls_lists__typings_0): fresh81(X, X, Y, Z) = true2.
% 4.65/0.96 Axiom 2 (cls_CHAINED_0): c_Type_Otypings(c_Type_Oshift(v_e____, v_i____, v_T____, tc_Type_Otype), v_rs____, v_Ts____) = true2.
% 4.65/0.96 Axiom 3 (cls_lists__typings_0): fresh81(c_Type_Otypings(X, Y, Z), true2, X, Y) = c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype), c_Type_Otyping(X), tc_fun(tc_Type_Otype, tc_bool), tc_bool, tc_Lambda_OdB), Y, tc_Lambda_OdB).
% 4.65/0.96
% 4.65/0.96 Goal 1 (cls_conjecture_0): c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype), c_Type_Otyping(c_Type_Oshift(v_e____, v_i____, v_T____, tc_Type_Otype)), tc_fun(tc_Type_Otype, tc_bool), tc_bool, tc_Lambda_OdB), v_rs____, tc_Lambda_OdB) = true2.
% 4.65/0.96 Proof:
% 4.65/0.96 c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype), c_Type_Otyping(c_Type_Oshift(v_e____, v_i____, v_T____, tc_Type_Otype)), tc_fun(tc_Type_Otype, tc_bool), tc_bool, tc_Lambda_OdB), v_rs____, tc_Lambda_OdB)
% 4.65/0.96 = { by axiom 3 (cls_lists__typings_0) R->L }
% 4.65/0.96 fresh81(c_Type_Otypings(c_Type_Oshift(v_e____, v_i____, v_T____, tc_Type_Otype), v_rs____, v_Ts____), true2, c_Type_Oshift(v_e____, v_i____, v_T____, tc_Type_Otype), v_rs____)
% 4.65/0.96 = { by axiom 2 (cls_CHAINED_0) }
% 4.65/0.96 fresh81(true2, true2, c_Type_Oshift(v_e____, v_i____, v_T____, tc_Type_Otype), v_rs____)
% 4.65/0.96 = { by axiom 1 (cls_lists__typings_0) }
% 4.65/0.96 true2
% 4.65/0.96 % SZS output end Proof
% 4.65/0.96
% 4.65/0.96 RESULT: Unsatisfiable (the axioms are contradictory).
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