TSTP Solution File: SWV262-2 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : SWV262-2 : 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 : n002.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 23:03:17 EDT 2023
% Result : Unsatisfiable 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV262-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % 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 : n002.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 : Tue Aug 29 10:06:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.37 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.13/0.37
% 0.13/0.37 % SZS status Unsatisfiable
% 0.13/0.37
% 0.13/0.37 % SZS output start Proof
% 0.13/0.37 Axiom 1 (cls_Set_OUn__empty__left_0): c_union(c_emptyset, X, Y) = X.
% 0.13/0.37 Axiom 2 (cls_Message_Oparts__Un_0): c_Message_Oparts(c_union(X, Y, tc_Message_Omsg)) = c_union(c_Message_Oparts(X), c_Message_Oparts(Y), tc_Message_Omsg).
% 0.13/0.37 Axiom 3 (cls_Set_OUn__insert__left_0): c_union(c_insert(X, Y, Z), W, Z) = c_insert(X, c_union(Y, W, Z), Z).
% 0.13/0.37
% 0.13/0.37 Goal 1 (cls_conjecture_0): c_Message_Oparts(c_insert(v_X, c_insert(v_Y, v_H, tc_Message_Omsg), tc_Message_Omsg)) = c_union(c_union(c_Message_Oparts(c_insert(v_X, c_emptyset, tc_Message_Omsg)), c_Message_Oparts(c_insert(v_Y, c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), c_Message_Oparts(v_H), tc_Message_Omsg).
% 0.13/0.37 Proof:
% 0.13/0.37 c_Message_Oparts(c_insert(v_X, c_insert(v_Y, v_H, tc_Message_Omsg), tc_Message_Omsg))
% 0.13/0.37 = { by axiom 1 (cls_Set_OUn__empty__left_0) R->L }
% 0.13/0.37 c_Message_Oparts(c_insert(v_X, c_insert(v_Y, c_union(c_emptyset, v_H, tc_Message_Omsg), tc_Message_Omsg), tc_Message_Omsg))
% 0.13/0.37 = { by axiom 3 (cls_Set_OUn__insert__left_0) R->L }
% 0.13/0.37 c_Message_Oparts(c_insert(v_X, c_union(c_insert(v_Y, c_emptyset, tc_Message_Omsg), v_H, tc_Message_Omsg), tc_Message_Omsg))
% 0.13/0.37 = { by axiom 3 (cls_Set_OUn__insert__left_0) R->L }
% 0.13/0.37 c_Message_Oparts(c_union(c_insert(v_X, c_insert(v_Y, c_emptyset, tc_Message_Omsg), tc_Message_Omsg), v_H, tc_Message_Omsg))
% 0.13/0.37 = { by axiom 1 (cls_Set_OUn__empty__left_0) R->L }
% 0.13/0.37 c_Message_Oparts(c_union(c_insert(v_X, c_union(c_emptyset, c_insert(v_Y, c_emptyset, tc_Message_Omsg), tc_Message_Omsg), tc_Message_Omsg), v_H, tc_Message_Omsg))
% 0.13/0.37 = { by axiom 3 (cls_Set_OUn__insert__left_0) R->L }
% 0.13/0.37 c_Message_Oparts(c_union(c_union(c_insert(v_X, c_emptyset, tc_Message_Omsg), c_insert(v_Y, c_emptyset, tc_Message_Omsg), tc_Message_Omsg), v_H, tc_Message_Omsg))
% 0.13/0.37 = { by axiom 2 (cls_Message_Oparts__Un_0) }
% 0.13/0.37 c_union(c_Message_Oparts(c_union(c_insert(v_X, c_emptyset, tc_Message_Omsg), c_insert(v_Y, c_emptyset, tc_Message_Omsg), tc_Message_Omsg)), c_Message_Oparts(v_H), tc_Message_Omsg)
% 0.13/0.37 = { by axiom 2 (cls_Message_Oparts__Un_0) }
% 0.13/0.37 c_union(c_union(c_Message_Oparts(c_insert(v_X, c_emptyset, tc_Message_Omsg)), c_Message_Oparts(c_insert(v_Y, c_emptyset, tc_Message_Omsg)), tc_Message_Omsg), c_Message_Oparts(v_H), tc_Message_Omsg)
% 0.13/0.37 % SZS output end Proof
% 0.13/0.37
% 0.13/0.37 RESULT: Unsatisfiable (the axioms are contradictory).
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