TSTP Solution File: LAT266-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : LAT266-1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n032.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 06:28:01 EDT 2023
% Result : Unsatisfiable 217.64s 28.49s
% Output : Proof 217.64s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT266-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.08/0.29 % Computer : n032.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Thu Aug 24 08:31:26 EDT 2023
% 0.08/0.29 % CPUTime :
% 217.64/28.49 Command-line arguments: --no-flatten-goal
% 217.64/28.49
% 217.64/28.49 % SZS status Unsatisfiable
% 217.64/28.49
% 217.64/28.50 % SZS output start Proof
% 217.64/28.50 Take the following subset of the input axioms:
% 217.64/28.50 fof(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0, axiom, ![T_a, V_cl]: c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl, T_a), T_a, tc_Product__Type_Ounit)=c_Tarski_Opotype_Opset(V_cl, T_a, tc_Product__Type_Ounit)).
% 217.64/28.50 fof(cls_conjecture_0, negated_conjecture, c_lessequals(v_S, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), tc_set(t_a))).
% 217.64/28.50 fof(cls_conjecture_2, negated_conjecture, ~c_lessequals(v_S, c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl, t_a), t_a, tc_Product__Type_Ounit), tc_set(t_a))).
% 217.64/28.50
% 217.64/28.50 Now clausify the problem and encode Horn clauses using encoding 3 of
% 217.64/28.50 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 217.64/28.50 We repeatedly replace C & s=t => u=v by the two clauses:
% 217.64/28.50 fresh(y, y, x1...xn) = u
% 217.64/28.50 C => fresh(s, t, x1...xn) = v
% 217.64/28.50 where fresh is a fresh function symbol and x1..xn are the free
% 217.64/28.50 variables of u and v.
% 217.64/28.50 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 217.64/28.50 input problem has no model of domain size 1).
% 217.64/28.50
% 217.64/28.50 The encoding turns the above axioms into the following unit equations and goals:
% 217.64/28.50
% 217.64/28.50 Axiom 1 (cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0): c_Tarski_Opotype_Opset(c_Tarski_Odual(X, Y), Y, tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X, Y, tc_Product__Type_Ounit).
% 217.64/28.50 Axiom 2 (cls_conjecture_0): c_lessequals(v_S, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), tc_set(t_a)) = true2.
% 217.64/28.50
% 217.64/28.50 Goal 1 (cls_conjecture_2): c_lessequals(v_S, c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl, t_a), t_a, tc_Product__Type_Ounit), tc_set(t_a)) = true2.
% 217.64/28.50 Proof:
% 217.64/28.50 c_lessequals(v_S, c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl, t_a), t_a, tc_Product__Type_Ounit), tc_set(t_a))
% 217.64/28.50 = { by axiom 1 (cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) }
% 217.64/28.50 c_lessequals(v_S, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), tc_set(t_a))
% 217.64/28.50 = { by axiom 2 (cls_conjecture_0) }
% 217.64/28.50 true2
% 217.64/28.50 % SZS output end Proof
% 217.64/28.50
% 217.64/28.50 RESULT: Unsatisfiable (the axioms are contradictory).
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