TSTP Solution File: SYO175^5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYO175^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.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 : Fri Sep 1 04:21:43 EDT 2023
% Result : Theorem 3.51s 3.67s
% Output : Proof 3.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO175^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 04:36:11 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.51/3.67 SZS status Theorem for theBenchmark.p
% 3.51/3.67 SZS output start Proof for theBenchmark.p
% 3.51/3.67 Clause #0 (by assumption #[]): Eq
% 3.51/3.67 (Not
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (∀ (Xx : a),
% 3.51/3.67 Or (∀ (Xy : p), cVEG_EATS Xx Xy)
% 3.51/3.67 (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists fun Xw => cVEG_EATS Xz Xw) → cMEAT_EATS Xx Xz))
% 3.51/3.67 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.67 (cSMALLER cSNAIL cBIRD))
% 3.51/3.67 (cSMALLER cBIRD cFOX))
% 3.51/3.67 (cSMALLER cFOX cWOLF))
% 3.51/3.67 (Not (cMEAT_EATS cWOLF cFOX)))
% 3.51/3.67 (Not (cVEG_EATS cWOLF cGRAIN)))
% 3.51/3.67 (cMEAT_EATS cBIRD cCATERPILLAR))
% 3.51/3.67 (Not (cMEAT_EATS cBIRD cSNAIL)))
% 3.51/3.67 (Exists fun Xy => cVEG_EATS cCATERPILLAR Xy))
% 3.51/3.67 (Exists fun Xy => cVEG_EATS cSNAIL Xy) →
% 3.51/3.67 Exists fun Xx => Exists fun Xy => And (cMEAT_EATS Xx Xy) (cVEG_EATS Xy cGRAIN)))
% 3.51/3.67 True
% 3.51/3.67 Clause #1 (by betaEtaReduce #[0]): Eq
% 3.51/3.67 (Not
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (∀ (Xx : a),
% 3.51/3.67 Or (∀ (Xy : p), cVEG_EATS Xx Xy)
% 3.51/3.67 (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.67 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.67 (cSMALLER cSNAIL cBIRD))
% 3.51/3.67 (cSMALLER cBIRD cFOX))
% 3.51/3.67 (cSMALLER cFOX cWOLF))
% 3.51/3.67 (Not (cMEAT_EATS cWOLF cFOX)))
% 3.51/3.67 (Not (cVEG_EATS cWOLF cGRAIN)))
% 3.51/3.67 (cMEAT_EATS cBIRD cCATERPILLAR))
% 3.51/3.67 (Not (cMEAT_EATS cBIRD cSNAIL)))
% 3.51/3.67 (Exists (cVEG_EATS cCATERPILLAR)))
% 3.51/3.67 (Exists (cVEG_EATS cSNAIL)) →
% 3.51/3.67 Exists fun Xx => Exists fun Xy => And (cMEAT_EATS Xx Xy) (cVEG_EATS Xy cGRAIN)))
% 3.51/3.67 True
% 3.51/3.67 Clause #2 (by clausification #[1]): Eq
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (∀ (Xx : a),
% 3.51/3.67 Or (∀ (Xy : p), cVEG_EATS Xx Xy)
% 3.51/3.67 (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.67 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.67 (cSMALLER cSNAIL cBIRD))
% 3.51/3.67 (cSMALLER cBIRD cFOX))
% 3.51/3.67 (cSMALLER cFOX cWOLF))
% 3.51/3.67 (Not (cMEAT_EATS cWOLF cFOX)))
% 3.51/3.67 (Not (cVEG_EATS cWOLF cGRAIN)))
% 3.51/3.67 (cMEAT_EATS cBIRD cCATERPILLAR))
% 3.51/3.67 (Not (cMEAT_EATS cBIRD cSNAIL)))
% 3.51/3.67 (Exists (cVEG_EATS cCATERPILLAR)))
% 3.51/3.67 (Exists (cVEG_EATS cSNAIL)) →
% 3.51/3.67 Exists fun Xx => Exists fun Xy => And (cMEAT_EATS Xx Xy) (cVEG_EATS Xy cGRAIN))
% 3.51/3.67 False
% 3.51/3.67 Clause #3 (by clausification #[2]): Eq
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (And
% 3.51/3.67 (∀ (Xx : a),
% 3.51/3.67 Or (∀ (Xy : p), cVEG_EATS Xx Xy)
% 3.51/3.67 (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.67 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.67 (cSMALLER cSNAIL cBIRD))
% 3.51/3.67 (cSMALLER cBIRD cFOX))
% 3.51/3.67 (cSMALLER cFOX cWOLF))
% 3.51/3.67 (Not (cMEAT_EATS cWOLF cFOX)))
% 3.51/3.67 (Not (cVEG_EATS cWOLF cGRAIN)))
% 3.51/3.67 (cMEAT_EATS cBIRD cCATERPILLAR))
% 3.51/3.67 (Not (cMEAT_EATS cBIRD cSNAIL)))
% 3.51/3.67 (Exists (cVEG_EATS cCATERPILLAR)))
% 3.51/3.67 (Exists (cVEG_EATS cSNAIL)))
% 3.51/3.67 True
% 3.51/3.67 Clause #4 (by clausification #[2]): Eq (Exists fun Xx => Exists fun Xy => And (cMEAT_EATS Xx Xy) (cVEG_EATS Xy cGRAIN)) False
% 3.51/3.67 Clause #5 (by clausification #[3]): Eq (Exists (cVEG_EATS cSNAIL)) True
% 3.51/3.69 Clause #6 (by clausification #[3]): Eq
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (∀ (Xx : a),
% 3.51/3.69 Or (∀ (Xy : p), cVEG_EATS Xx Xy)
% 3.51/3.69 (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.69 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.69 (cSMALLER cSNAIL cBIRD))
% 3.51/3.69 (cSMALLER cBIRD cFOX))
% 3.51/3.69 (cSMALLER cFOX cWOLF))
% 3.51/3.69 (Not (cMEAT_EATS cWOLF cFOX)))
% 3.51/3.69 (Not (cVEG_EATS cWOLF cGRAIN)))
% 3.51/3.69 (cMEAT_EATS cBIRD cCATERPILLAR))
% 3.51/3.69 (Not (cMEAT_EATS cBIRD cSNAIL)))
% 3.51/3.69 (Exists (cVEG_EATS cCATERPILLAR)))
% 3.51/3.69 True
% 3.51/3.69 Clause #7 (by clausification #[5]): ∀ (a : p), Eq (cVEG_EATS cSNAIL (skS.0 0 a)) True
% 3.51/3.69 Clause #8 (by clausification #[4]): ∀ (a_1 : a), Eq (Exists fun Xy => And (cMEAT_EATS a_1 Xy) (cVEG_EATS Xy cGRAIN)) False
% 3.51/3.69 Clause #9 (by clausification #[8]): ∀ (a_1 a : a), Eq (And (cMEAT_EATS a_1 a) (cVEG_EATS a cGRAIN)) False
% 3.51/3.69 Clause #10 (by clausification #[9]): ∀ (a_1 a : a), Or (Eq (cMEAT_EATS a_1 a) False) (Eq (cVEG_EATS a cGRAIN) False)
% 3.51/3.69 Clause #12 (by clausification #[6]): Eq
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (∀ (Xx : a),
% 3.51/3.69 Or (∀ (Xy : p), cVEG_EATS Xx Xy)
% 3.51/3.69 (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.69 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.69 (cSMALLER cSNAIL cBIRD))
% 3.51/3.69 (cSMALLER cBIRD cFOX))
% 3.51/3.69 (cSMALLER cFOX cWOLF))
% 3.51/3.69 (Not (cMEAT_EATS cWOLF cFOX)))
% 3.51/3.69 (Not (cVEG_EATS cWOLF cGRAIN)))
% 3.51/3.69 (cMEAT_EATS cBIRD cCATERPILLAR))
% 3.51/3.69 (Not (cMEAT_EATS cBIRD cSNAIL)))
% 3.51/3.69 True
% 3.51/3.69 Clause #14 (by clausification #[12]): Eq (Not (cMEAT_EATS cBIRD cSNAIL)) True
% 3.51/3.69 Clause #15 (by clausification #[12]): Eq
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (∀ (Xx : a),
% 3.51/3.69 Or (∀ (Xy : p), cVEG_EATS Xx Xy)
% 3.51/3.69 (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.69 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.69 (cSMALLER cSNAIL cBIRD))
% 3.51/3.69 (cSMALLER cBIRD cFOX))
% 3.51/3.69 (cSMALLER cFOX cWOLF))
% 3.51/3.69 (Not (cMEAT_EATS cWOLF cFOX)))
% 3.51/3.69 (Not (cVEG_EATS cWOLF cGRAIN)))
% 3.51/3.69 (cMEAT_EATS cBIRD cCATERPILLAR))
% 3.51/3.69 True
% 3.51/3.69 Clause #16 (by clausification #[14]): Eq (cMEAT_EATS cBIRD cSNAIL) False
% 3.51/3.69 Clause #18 (by clausification #[15]): Eq
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (∀ (Xx : a),
% 3.51/3.69 Or (∀ (Xy : p), cVEG_EATS Xx Xy)
% 3.51/3.69 (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.69 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.69 (cSMALLER cSNAIL cBIRD))
% 3.51/3.69 (cSMALLER cBIRD cFOX))
% 3.51/3.69 (cSMALLER cFOX cWOLF))
% 3.51/3.69 (Not (cMEAT_EATS cWOLF cFOX)))
% 3.51/3.69 (Not (cVEG_EATS cWOLF cGRAIN)))
% 3.51/3.69 True
% 3.51/3.69 Clause #20 (by clausification #[18]): Eq (Not (cVEG_EATS cWOLF cGRAIN)) True
% 3.51/3.69 Clause #21 (by clausification #[18]): Eq
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (∀ (Xx : a),
% 3.51/3.69 Or (∀ (Xy : p), cVEG_EATS Xx Xy)
% 3.51/3.69 (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.69 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.69 (cSMALLER cSNAIL cBIRD))
% 3.51/3.69 (cSMALLER cBIRD cFOX))
% 3.51/3.69 (cSMALLER cFOX cWOLF))
% 3.51/3.69 (Not (cMEAT_EATS cWOLF cFOX)))
% 3.51/3.69 True
% 3.51/3.69 Clause #22 (by clausification #[20]): Eq (cVEG_EATS cWOLF cGRAIN) False
% 3.51/3.69 Clause #24 (by clausification #[21]): Eq (Not (cMEAT_EATS cWOLF cFOX)) True
% 3.51/3.69 Clause #25 (by clausification #[21]): Eq
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (And
% 3.51/3.69 (∀ (Xx : a),
% 3.51/3.69 Or (∀ (Xy : p), cVEG_EATS Xx Xy)
% 3.51/3.69 (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.71 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.71 (cSMALLER cSNAIL cBIRD))
% 3.51/3.71 (cSMALLER cBIRD cFOX))
% 3.51/3.71 (cSMALLER cFOX cWOLF))
% 3.51/3.71 True
% 3.51/3.71 Clause #26 (by clausification #[24]): Eq (cMEAT_EATS cWOLF cFOX) False
% 3.51/3.71 Clause #27 (by clausification #[25]): Eq (cSMALLER cFOX cWOLF) True
% 3.51/3.71 Clause #28 (by clausification #[25]): Eq
% 3.51/3.71 (And
% 3.51/3.71 (And
% 3.51/3.71 (And
% 3.51/3.71 (∀ (Xx : a),
% 3.51/3.71 Or (∀ (Xy : p), cVEG_EATS Xx Xy)
% 3.51/3.71 (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.71 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.71 (cSMALLER cSNAIL cBIRD))
% 3.51/3.71 (cSMALLER cBIRD cFOX))
% 3.51/3.71 True
% 3.51/3.71 Clause #29 (by clausification #[28]): Eq (cSMALLER cBIRD cFOX) True
% 3.51/3.71 Clause #30 (by clausification #[28]): Eq
% 3.51/3.71 (And
% 3.51/3.71 (And
% 3.51/3.71 (∀ (Xx : a),
% 3.51/3.71 Or (∀ (Xy : p), cVEG_EATS Xx Xy) (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.71 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.71 (cSMALLER cSNAIL cBIRD))
% 3.51/3.71 True
% 3.51/3.71 Clause #31 (by clausification #[30]): Eq (cSMALLER cSNAIL cBIRD) True
% 3.51/3.71 Clause #32 (by clausification #[30]): Eq
% 3.51/3.71 (And
% 3.51/3.71 (∀ (Xx : a),
% 3.51/3.71 Or (∀ (Xy : p), cVEG_EATS Xx Xy) (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.71 (cSMALLER cCATERPILLAR cBIRD))
% 3.51/3.71 True
% 3.51/3.71 Clause #34 (by clausification #[32]): Eq
% 3.51/3.71 (∀ (Xx : a),
% 3.51/3.71 Or (∀ (Xy : p), cVEG_EATS Xx Xy) (∀ (Xz : a), And (cSMALLER Xz Xx) (Exists (cVEG_EATS Xz)) → cMEAT_EATS Xx Xz))
% 3.51/3.71 True
% 3.51/3.71 Clause #35 (by clausification #[34]): ∀ (a_1 : a),
% 3.51/3.71 Eq (Or (∀ (Xy : p), cVEG_EATS a_1 Xy) (∀ (Xz : a), And (cSMALLER Xz a_1) (Exists (cVEG_EATS Xz)) → cMEAT_EATS a_1 Xz))
% 3.51/3.71 True
% 3.51/3.71 Clause #36 (by clausification #[35]): ∀ (a_1 : a),
% 3.51/3.71 Or (Eq (∀ (Xy : p), cVEG_EATS a_1 Xy) True)
% 3.51/3.71 (Eq (∀ (Xz : a), And (cSMALLER Xz a_1) (Exists (cVEG_EATS Xz)) → cMEAT_EATS a_1 Xz) True)
% 3.51/3.71 Clause #37 (by clausification #[36]): ∀ (a_1 : a) (a_2 : p),
% 3.51/3.71 Or (Eq (∀ (Xz : a), And (cSMALLER Xz a_1) (Exists (cVEG_EATS Xz)) → cMEAT_EATS a_1 Xz) True)
% 3.51/3.71 (Eq (cVEG_EATS a_1 a_2) True)
% 3.51/3.71 Clause #38 (by clausification #[37]): ∀ (a_1 : a) (a_2 : p) (a : a),
% 3.51/3.71 Or (Eq (cVEG_EATS a_1 a_2) True) (Eq (And (cSMALLER a a_1) (Exists (cVEG_EATS a)) → cMEAT_EATS a_1 a) True)
% 3.51/3.71 Clause #39 (by clausification #[38]): ∀ (a_1 : a) (a_2 : p) (a : a),
% 3.51/3.71 Or (Eq (cVEG_EATS a_1 a_2) True)
% 3.51/3.71 (Or (Eq (And (cSMALLER a a_1) (Exists (cVEG_EATS a))) False) (Eq (cMEAT_EATS a_1 a) True))
% 3.51/3.71 Clause #40 (by clausification #[39]): ∀ (a_1 : a) (a_2 : p) (a : a),
% 3.51/3.71 Or (Eq (cVEG_EATS a_1 a_2) True)
% 3.51/3.71 (Or (Eq (cMEAT_EATS a_1 a) True) (Or (Eq (cSMALLER a a_1) False) (Eq (Exists (cVEG_EATS a)) False)))
% 3.51/3.71 Clause #41 (by clausification #[40]): ∀ (a_1 : a) (a_2 : p) (a : a) (a_3 : p),
% 3.51/3.71 Or (Eq (cVEG_EATS a_1 a_2) True)
% 3.51/3.71 (Or (Eq (cMEAT_EATS a_1 a) True) (Or (Eq (cSMALLER a a_1) False) (Eq (cVEG_EATS a a_3) False)))
% 3.51/3.71 Clause #42 (by superposition #[41, 27]): ∀ (a a_1 : p),
% 3.51/3.71 Or (Eq (cVEG_EATS cWOLF a) True)
% 3.51/3.71 (Or (Eq (cMEAT_EATS cWOLF cFOX) True) (Or (Eq (cVEG_EATS cFOX a_1) False) (Eq False True)))
% 3.51/3.71 Clause #43 (by superposition #[41, 29]): ∀ (a a_1 : p),
% 3.51/3.71 Or (Eq (cVEG_EATS cFOX a) True)
% 3.51/3.71 (Or (Eq (cMEAT_EATS cFOX cBIRD) True) (Or (Eq (cVEG_EATS cBIRD a_1) False) (Eq False True)))
% 3.51/3.71 Clause #44 (by superposition #[41, 31]): ∀ (a a_1 : p),
% 3.51/3.71 Or (Eq (cVEG_EATS cBIRD a) True)
% 3.51/3.71 (Or (Eq (cMEAT_EATS cBIRD cSNAIL) True) (Or (Eq (cVEG_EATS cSNAIL a_1) False) (Eq False True)))
% 3.51/3.71 Clause #46 (by clausification #[43]): ∀ (a a_1 : p), Or (Eq (cVEG_EATS cFOX a) True) (Or (Eq (cMEAT_EATS cFOX cBIRD) True) (Eq (cVEG_EATS cBIRD a_1) False))
% 3.51/3.71 Clause #48 (by clausification #[44]): ∀ (a a_1 : p),
% 3.51/3.71 Or (Eq (cVEG_EATS cBIRD a) True) (Or (Eq (cMEAT_EATS cBIRD cSNAIL) True) (Eq (cVEG_EATS cSNAIL a_1) False))
% 3.51/3.71 Clause #49 (by superposition #[48, 7]): ∀ (a : p), Or (Eq (cVEG_EATS cBIRD a) True) (Or (Eq (cMEAT_EATS cBIRD cSNAIL) True) (Eq False True))
% 3.51/3.71 Clause #50 (by clausification #[49]): ∀ (a : p), Or (Eq (cVEG_EATS cBIRD a) True) (Eq (cMEAT_EATS cBIRD cSNAIL) True)
% 3.51/3.71 Clause #52 (by superposition #[50, 16]): ∀ (a : p), Or (Eq (cVEG_EATS cBIRD a) True) (Eq True False)
% 3.51/3.71 Clause #54 (by clausification #[42]): ∀ (a a_1 : p), Or (Eq (cVEG_EATS cWOLF a) True) (Or (Eq (cMEAT_EATS cWOLF cFOX) True) (Eq (cVEG_EATS cFOX a_1) False))
% 3.51/3.71 Clause #55 (by clausification #[52]): ∀ (a : p), Eq (cVEG_EATS cBIRD a) True
% 3.51/3.71 Clause #56 (by superposition #[55, 46]): ∀ (a : p), Or (Eq (cVEG_EATS cFOX a) True) (Or (Eq (cMEAT_EATS cFOX cBIRD) True) (Eq True False))
% 3.51/3.71 Clause #57 (by clausification #[56]): ∀ (a : p), Or (Eq (cVEG_EATS cFOX a) True) (Eq (cMEAT_EATS cFOX cBIRD) True)
% 3.51/3.71 Clause #59 (by superposition #[57, 10]): ∀ (a : p), Or (Eq (cVEG_EATS cFOX a) True) (Or (Eq True False) (Eq (cVEG_EATS cBIRD cGRAIN) False))
% 3.51/3.71 Clause #60 (by clausification #[59]): ∀ (a : p), Or (Eq (cVEG_EATS cFOX a) True) (Eq (cVEG_EATS cBIRD cGRAIN) False)
% 3.51/3.71 Clause #61 (by forward demodulation #[60, 55]): ∀ (a : p), Or (Eq (cVEG_EATS cFOX a) True) (Eq True False)
% 3.51/3.71 Clause #62 (by clausification #[61]): ∀ (a : p), Eq (cVEG_EATS cFOX a) True
% 3.51/3.71 Clause #63 (by superposition #[62, 54]): ∀ (a : p), Or (Eq (cVEG_EATS cWOLF a) True) (Or (Eq (cMEAT_EATS cWOLF cFOX) True) (Eq True False))
% 3.51/3.71 Clause #64 (by clausification #[63]): ∀ (a : p), Or (Eq (cVEG_EATS cWOLF a) True) (Eq (cMEAT_EATS cWOLF cFOX) True)
% 3.51/3.71 Clause #65 (by superposition #[64, 26]): ∀ (a : p), Or (Eq (cVEG_EATS cWOLF a) True) (Eq True False)
% 3.51/3.71 Clause #67 (by clausification #[65]): ∀ (a : p), Eq (cVEG_EATS cWOLF a) True
% 3.51/3.71 Clause #68 (by superposition #[67, 22]): Eq True False
% 3.51/3.71 Clause #71 (by clausification #[68]): False
% 3.51/3.71 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------