%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV253-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 : Sat Jun 21 05:31:52 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV253-2 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 09:37:05 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable
% 0.12/0.37 % SZS output start Proof
% 0.12/0.37 tff(v_K_H_type, type, (
% 0.12/0.37 v_K_H: $i)).
% 0.12/0.37 tff(v_K_type, type, (
% 0.12/0.37 v_K: $i)).
% 0.12/0.37 tff(c_Message_OinvKey_type, type, (
% 0.12/0.37 c_Message_OinvKey: $i > $i)).
% 0.12/0.37 tff(1,plain,
% 0.12/0.37 (![V_y: $i] : (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y) <=> ![V_y: $i] : (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(2,plain,
% 0.12/0.37 (![V_y: $i] : (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y) <=> ![V_y: $i] : (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(3,axiom,(![V_y: $i] : (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0')).
% 0.12/0.37 tff(4,plain,
% 0.12/0.37 (![V_y: $i] : (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.37 tff(5,plain,(
% 0.12/0.37 ![V_y: $i] : (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y)),
% 0.12/0.37 inference(skolemize,[status(sab)],[4])).
% 0.12/0.37 tff(6,plain,
% 0.12/0.37 (![V_y: $i] : (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.12/0.37 tff(7,plain,
% 0.12/0.37 ((~![V_y: $i] : (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y)) | (c_Message_OinvKey(c_Message_OinvKey(v_K_H)) = v_K_H)),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(8,plain,
% 0.12/0.37 (c_Message_OinvKey(c_Message_OinvKey(v_K_H)) = v_K_H),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[7, 6])).
% 0.12/0.37 tff(9,assumption,(~(c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H))), introduced(assumption)).
% 0.12/0.37 tff(10,plain,
% 0.12/0.37 (((v_K = v_K_H) | (c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H))) <=> ((v_K = v_K_H) | (c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(11,plain,
% 0.12/0.37 (((c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)) | (v_K = v_K_H)) <=> ((v_K = v_K_H) | (c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(12,axiom,((c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)) | (v_K = v_K_H)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_1')).
% 0.12/0.37 tff(13,plain,
% 0.12/0.37 ((v_K = v_K_H) | (c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.12/0.37 tff(14,plain,
% 0.12/0.37 ((v_K = v_K_H) | (c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[13, 10])).
% 0.12/0.37 tff(15,plain,
% 0.12/0.37 (v_K = v_K_H),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[14, 9])).
% 0.12/0.37 tff(16,plain,
% 0.12/0.37 (c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)),
% 0.12/0.37 inference(monotonicity,[status(thm)],[15])).
% 0.12/0.37 tff(17,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[9, 16])).
% 0.12/0.37 tff(18,plain,(c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(19,plain,
% 0.12/0.37 (c_Message_OinvKey(c_Message_OinvKey(v_K)) = c_Message_OinvKey(c_Message_OinvKey(v_K_H))),
% 0.12/0.37 inference(monotonicity,[status(thm)],[18])).
% 0.12/0.37 tff(20,plain,
% 0.12/0.37 ((~![V_y: $i] : (c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y)) | (c_Message_OinvKey(c_Message_OinvKey(v_K)) = v_K)),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(21,plain,
% 0.12/0.37 (c_Message_OinvKey(c_Message_OinvKey(v_K)) = v_K),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[20, 6])).
% 0.12/0.37 tff(22,plain,
% 0.12/0.37 (v_K = c_Message_OinvKey(c_Message_OinvKey(v_K))),
% 0.12/0.37 inference(symmetry,[status(thm)],[21])).
% 0.12/0.37 tff(23,plain,
% 0.12/0.37 (v_K = v_K_H),
% 0.12/0.37 inference(transitivity,[status(thm)],[22, 19, 8])).
% 0.12/0.37 tff(24,plain,
% 0.12/0.37 (((~(v_K = v_K_H)) | (~(c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)))) <=> ((~(v_K = v_K_H)) | (~(c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H))))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(25,axiom,((~(v_K = v_K_H)) | (~(c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_0')).
% 0.12/0.37 tff(26,plain,
% 0.12/0.37 ((~(v_K = v_K_H)) | (~(c_Message_OinvKey(v_K) = c_Message_OinvKey(v_K_H)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.12/0.37 tff(27,plain,
% 0.12/0.37 (~(v_K = v_K_H)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[26, 18])).
% 0.12/0.37 tff(28,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[27, 23])).
% 0.12/0.37 % SZS output end Proof
% 0.12/0.37 % E exiting
%------------------------------------------------------------------------------