TSTP Solution File: SYN393+1.003 by Duper---1.0
View Problem
- Process Solution
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% File : Duper---1.0
% Problem : SYN393+1.003 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 02:11:36 EDT 2023
% Result : Theorem 3.48s 3.67s
% Output : Proof 3.48s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN393+1.003 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.35 % Computer : n015.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 19:30:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.48/3.67 SZS status Theorem for theBenchmark.p
% 3.48/3.67 SZS output start Proof for theBenchmark.p
% 3.48/3.67 Clause #0 (by assumption #[]): Eq (Not (Iff (Iff (Iff p1 p2) p3) (Iff p1 (Iff p2 p3)))) True
% 3.48/3.67 Clause #1 (by clausification #[0]): Eq (Iff (Iff (Iff p1 p2) p3) (Iff p1 (Iff p2 p3))) False
% 3.48/3.67 Clause #2 (by clausification #[1]): Or (Eq (Iff (Iff p1 p2) p3) False) (Eq (Iff p1 (Iff p2 p3)) False)
% 3.48/3.67 Clause #3 (by clausification #[1]): Or (Eq (Iff (Iff p1 p2) p3) True) (Eq (Iff p1 (Iff p2 p3)) True)
% 3.48/3.67 Clause #4 (by clausification #[2]): Or (Eq (Iff p1 (Iff p2 p3)) False) (Or (Eq (Iff p1 p2) False) (Eq p3 False))
% 3.48/3.67 Clause #5 (by clausification #[2]): Or (Eq (Iff p1 (Iff p2 p3)) False) (Or (Eq (Iff p1 p2) True) (Eq p3 True))
% 3.48/3.67 Clause #6 (by clausification #[4]): Or (Eq (Iff p1 p2) False) (Or (Eq p3 False) (Or (Eq p1 False) (Eq (Iff p2 p3) False)))
% 3.48/3.67 Clause #7 (by clausification #[4]): Or (Eq (Iff p1 p2) False) (Or (Eq p3 False) (Or (Eq p1 True) (Eq (Iff p2 p3) True)))
% 3.48/3.67 Clause #8 (by clausification #[6]): Or (Eq p3 False) (Or (Eq p1 False) (Or (Eq (Iff p2 p3) False) (Or (Eq p1 False) (Eq p2 False))))
% 3.48/3.67 Clause #10 (by clausification #[8]): Or (Eq p3 False) (Or (Eq p1 False) (Or (Eq p1 False) (Or (Eq p2 False) (Or (Eq p2 False) (Eq p3 False)))))
% 3.48/3.67 Clause #12 (by eliminate duplicate literals #[10]): Or (Eq p3 False) (Or (Eq p1 False) (Eq p2 False))
% 3.48/3.67 Clause #16 (by clausification #[7]): Or (Eq p3 False) (Or (Eq p1 True) (Or (Eq (Iff p2 p3) True) (Or (Eq p1 True) (Eq p2 True))))
% 3.48/3.67 Clause #19 (by clausification #[3]): Or (Eq (Iff p1 (Iff p2 p3)) True) (Or (Eq (Iff p1 p2) True) (Eq p3 False))
% 3.48/3.67 Clause #20 (by clausification #[3]): Or (Eq (Iff p1 (Iff p2 p3)) True) (Or (Eq (Iff p1 p2) False) (Eq p3 True))
% 3.48/3.67 Clause #21 (by clausification #[19]): Or (Eq (Iff p1 p2) True) (Or (Eq p3 False) (Or (Eq p1 True) (Eq (Iff p2 p3) False)))
% 3.48/3.67 Clause #22 (by clausification #[19]): Or (Eq (Iff p1 p2) True) (Or (Eq p3 False) (Or (Eq p1 False) (Eq (Iff p2 p3) True)))
% 3.48/3.67 Clause #23 (by clausification #[21]): Or (Eq p3 False) (Or (Eq p1 True) (Or (Eq (Iff p2 p3) False) (Or (Eq p1 True) (Eq p2 False))))
% 3.48/3.67 Clause #25 (by clausification #[23]): Or (Eq p3 False) (Or (Eq p1 True) (Or (Eq p1 True) (Or (Eq p2 False) (Or (Eq p2 False) (Eq p3 False)))))
% 3.48/3.67 Clause #27 (by eliminate duplicate literals #[25]): Or (Eq p3 False) (Or (Eq p1 True) (Eq p2 False))
% 3.48/3.67 Clause #31 (by clausification #[22]): Or (Eq p3 False) (Or (Eq p1 False) (Or (Eq (Iff p2 p3) True) (Or (Eq p1 False) (Eq p2 True))))
% 3.48/3.67 Clause #34 (by clausification #[5]): Or (Eq (Iff p1 p2) True) (Or (Eq p3 True) (Or (Eq p1 False) (Eq (Iff p2 p3) False)))
% 3.48/3.67 Clause #35 (by clausification #[5]): Or (Eq (Iff p1 p2) True) (Or (Eq p3 True) (Or (Eq p1 True) (Eq (Iff p2 p3) True)))
% 3.48/3.67 Clause #37 (by clausification #[34]): Or (Eq p3 True) (Or (Eq p1 False) (Or (Eq (Iff p2 p3) False) (Or (Eq p1 False) (Eq p2 True))))
% 3.48/3.67 Clause #41 (by clausification #[37]): Or (Eq p3 True) (Or (Eq p1 False) (Or (Eq p1 False) (Or (Eq p2 True) (Or (Eq p2 True) (Eq p3 True)))))
% 3.48/3.67 Clause #42 (by eliminate duplicate literals #[41]): Or (Eq p3 True) (Or (Eq p1 False) (Eq p2 True))
% 3.48/3.67 Clause #43 (by clausification #[35]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq (Iff p2 p3) True) (Or (Eq p1 True) (Eq p2 False))))
% 3.48/3.67 Clause #46 (by clausification #[43]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq p1 True) (Or (Eq p2 False) (Or (Eq p2 False) (Eq p3 True)))))
% 3.48/3.67 Clause #47 (by eliminate duplicate literals #[46]): Or (Eq p3 True) (Or (Eq p1 True) (Eq p2 False))
% 3.48/3.67 Clause #48 (by clausification #[16]): Or (Eq p3 False) (Or (Eq p1 True) (Or (Eq p1 True) (Or (Eq p2 True) (Or (Eq p2 True) (Eq p3 False)))))
% 3.48/3.67 Clause #50 (by eliminate duplicate literals #[48]): Or (Eq p3 False) (Or (Eq p1 True) (Eq p2 True))
% 3.48/3.67 Clause #53 (by clausification #[31]): Or (Eq p3 False) (Or (Eq p1 False) (Or (Eq p1 False) (Or (Eq p2 True) (Or (Eq p2 True) (Eq p3 False)))))
% 3.48/3.67 Clause #55 (by eliminate duplicate literals #[53]): Or (Eq p3 False) (Or (Eq p1 False) (Eq p2 True))
% 3.48/3.67 Clause #56 (by clausification #[20]): Or (Eq (Iff p1 p2) False) (Or (Eq p3 True) (Or (Eq p1 True) (Eq (Iff p2 p3) False)))
% 3.48/3.67 Clause #57 (by clausification #[20]): Or (Eq (Iff p1 p2) False) (Or (Eq p3 True) (Or (Eq p1 False) (Eq (Iff p2 p3) True)))
% 3.48/3.69 Clause #59 (by clausification #[56]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq (Iff p2 p3) False) (Or (Eq p1 True) (Eq p2 True))))
% 3.48/3.69 Clause #63 (by clausification #[59]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq p1 True) (Or (Eq p2 True) (Or (Eq p2 True) (Eq p3 True)))))
% 3.48/3.69 Clause #64 (by eliminate duplicate literals #[63]): Or (Eq p3 True) (Or (Eq p1 True) (Eq p2 True))
% 3.48/3.69 Clause #65 (by superposition #[64, 47]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq p3 True) (Or (Eq p1 True) (Eq True False))))
% 3.48/3.69 Clause #66 (by clausification #[65]): Or (Eq p3 True) (Or (Eq p1 True) (Or (Eq p3 True) (Eq p1 True)))
% 3.48/3.69 Clause #67 (by eliminate duplicate literals #[66]): Or (Eq p3 True) (Eq p1 True)
% 3.48/3.69 Clause #68 (by superposition #[67, 42]): Or (Eq p3 True) (Or (Eq p3 True) (Or (Eq True False) (Eq p2 True)))
% 3.48/3.69 Clause #69 (by clausification #[57]): Or (Eq p3 True) (Or (Eq p1 False) (Or (Eq (Iff p2 p3) True) (Or (Eq p1 False) (Eq p2 False))))
% 3.48/3.69 Clause #72 (by clausification #[69]): Or (Eq p3 True) (Or (Eq p1 False) (Or (Eq p1 False) (Or (Eq p2 False) (Or (Eq p2 False) (Eq p3 True)))))
% 3.48/3.69 Clause #73 (by clausification #[68]): Or (Eq p3 True) (Or (Eq p3 True) (Eq p2 True))
% 3.48/3.69 Clause #74 (by eliminate duplicate literals #[73]): Or (Eq p3 True) (Eq p2 True)
% 3.48/3.69 Clause #75 (by eliminate duplicate literals #[72]): Or (Eq p3 True) (Or (Eq p1 False) (Eq p2 False))
% 3.48/3.69 Clause #76 (by superposition #[75, 67]): Or (Eq p3 True) (Or (Eq p2 False) (Or (Eq p3 True) (Eq False True)))
% 3.48/3.69 Clause #77 (by clausification #[76]): Or (Eq p3 True) (Or (Eq p2 False) (Eq p3 True))
% 3.48/3.69 Clause #78 (by eliminate duplicate literals #[77]): Or (Eq p3 True) (Eq p2 False)
% 3.48/3.69 Clause #79 (by superposition #[78, 74]): Or (Eq p3 True) (Or (Eq p3 True) (Eq False True))
% 3.48/3.69 Clause #80 (by clausification #[79]): Or (Eq p3 True) (Eq p3 True)
% 3.48/3.69 Clause #81 (by eliminate duplicate literals #[80]): Eq p3 True
% 3.48/3.69 Clause #82 (by backward demodulation #[81, 12]): Or (Eq True False) (Or (Eq p1 False) (Eq p2 False))
% 3.48/3.69 Clause #83 (by backward demodulation #[81, 27]): Or (Eq True False) (Or (Eq p1 True) (Eq p2 False))
% 3.48/3.69 Clause #84 (by backward demodulation #[81, 50]): Or (Eq True False) (Or (Eq p1 True) (Eq p2 True))
% 3.48/3.69 Clause #85 (by backward demodulation #[81, 55]): Or (Eq True False) (Or (Eq p1 False) (Eq p2 True))
% 3.48/3.69 Clause #91 (by clausification #[85]): Or (Eq p1 False) (Eq p2 True)
% 3.48/3.69 Clause #92 (by clausification #[83]): Or (Eq p1 True) (Eq p2 False)
% 3.48/3.69 Clause #93 (by clausification #[82]): Or (Eq p1 False) (Eq p2 False)
% 3.48/3.69 Clause #94 (by clausification #[84]): Or (Eq p1 True) (Eq p2 True)
% 3.48/3.69 Clause #95 (by superposition #[94, 92]): Or (Eq p1 True) (Or (Eq p1 True) (Eq True False))
% 3.48/3.69 Clause #96 (by clausification #[95]): Or (Eq p1 True) (Eq p1 True)
% 3.48/3.69 Clause #97 (by eliminate duplicate literals #[96]): Eq p1 True
% 3.48/3.69 Clause #98 (by backward demodulation #[97, 91]): Or (Eq True False) (Eq p2 True)
% 3.48/3.69 Clause #99 (by backward demodulation #[97, 93]): Or (Eq True False) (Eq p2 False)
% 3.48/3.69 Clause #100 (by clausification #[99]): Eq p2 False
% 3.48/3.69 Clause #101 (by clausification #[98]): Eq p2 True
% 3.48/3.69 Clause #102 (by superposition #[101, 100]): Eq True False
% 3.48/3.69 Clause #103 (by clausification #[102]): False
% 3.48/3.69 SZS output end Proof for theBenchmark.p
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