TSTP Solution File: SWV243-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SWV243-1 : 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 : n013.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 23:03:09 EDT 2023
% Result : Unsatisfiable 243.36s 31.29s
% Output : Proof 243.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV243-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 04:34:31 EDT 2023
% 0.13/0.35 % CPUTime :
% 243.36/31.29 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 243.36/31.29
% 243.36/31.29 % SZS status Unsatisfiable
% 243.36/31.29
% 243.36/31.30 % SZS output start Proof
% 243.36/31.30 Take the following subset of the input axioms:
% 243.36/31.30 fof(cls_Message_Oanalz__synth__Un_0, axiom, ![V_G, V_H]: c_Message_Oanalz(c_union(c_Message_Osynth(V_G), V_H, tc_Message_Omsg))=c_union(c_Message_Oanalz(c_union(V_G, V_H, tc_Message_Omsg)), c_Message_Osynth(V_G), tc_Message_Omsg)).
% 243.36/31.30 fof(cls_Set_OUn__empty__right_0, axiom, ![T_a, V_y]: c_union(V_y, c_emptyset, T_a)=V_y).
% 243.36/31.30 fof(cls_conjecture_0, negated_conjecture, c_Message_Oanalz(c_Message_Osynth(v_H))!=c_union(c_Message_Oanalz(v_H), c_Message_Osynth(v_H), tc_Message_Omsg)).
% 243.36/31.30
% 243.36/31.30 Now clausify the problem and encode Horn clauses using encoding 3 of
% 243.36/31.30 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 243.36/31.30 We repeatedly replace C & s=t => u=v by the two clauses:
% 243.36/31.30 fresh(y, y, x1...xn) = u
% 243.36/31.30 C => fresh(s, t, x1...xn) = v
% 243.36/31.30 where fresh is a fresh function symbol and x1..xn are the free
% 243.36/31.30 variables of u and v.
% 243.36/31.30 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 243.36/31.30 input problem has no model of domain size 1).
% 243.36/31.30
% 243.36/31.30 The encoding turns the above axioms into the following unit equations and goals:
% 243.36/31.30
% 243.36/31.30 Axiom 1 (cls_Set_OUn__empty__right_0): c_union(X, c_emptyset, Y) = X.
% 243.36/31.30 Axiom 2 (cls_Message_Oanalz__synth__Un_0): c_Message_Oanalz(c_union(c_Message_Osynth(X), Y, tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X, Y, tc_Message_Omsg)), c_Message_Osynth(X), tc_Message_Omsg).
% 243.36/31.30
% 243.36/31.30 Goal 1 (cls_conjecture_0): c_Message_Oanalz(c_Message_Osynth(v_H)) = c_union(c_Message_Oanalz(v_H), c_Message_Osynth(v_H), tc_Message_Omsg).
% 243.36/31.30 Proof:
% 243.36/31.30 c_Message_Oanalz(c_Message_Osynth(v_H))
% 243.36/31.30 = { by axiom 1 (cls_Set_OUn__empty__right_0) R->L }
% 243.36/31.30 c_Message_Oanalz(c_union(c_Message_Osynth(v_H), c_emptyset, tc_Message_Omsg))
% 243.36/31.30 = { by axiom 2 (cls_Message_Oanalz__synth__Un_0) }
% 243.36/31.30 c_union(c_Message_Oanalz(c_union(v_H, c_emptyset, tc_Message_Omsg)), c_Message_Osynth(v_H), tc_Message_Omsg)
% 243.36/31.30 = { by axiom 1 (cls_Set_OUn__empty__right_0) }
% 243.36/31.30 c_union(c_Message_Oanalz(v_H), c_Message_Osynth(v_H), tc_Message_Omsg)
% 243.36/31.30 % SZS output end Proof
% 243.36/31.30
% 243.36/31.30 RESULT: Unsatisfiable (the axioms are contradictory).
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