TSTP Solution File: PUZ047+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n016.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 13:14:32 EDT 2023
% Result : Theorem 5.29s 5.47s
% Output : Proof 5.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 23:06:12 EDT 2023
% 0.14/0.34 % CPUTime :
% 5.29/5.47 SZS status Theorem for theBenchmark.p
% 5.29/5.47 SZS output start Proof for theBenchmark.p
% 5.29/5.47 Clause #0 (by assumption #[]): Eq
% 5.29/5.47 (Not
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And (p south south south south start)
% 5.29/5.47 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.29/5.47 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.29/5.47 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.29/5.47 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.29/5.47 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.29/5.47 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.29/5.47 (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)))
% 5.29/5.47 (∀ (T7 : Iota), p north north north south T7 → p south south north south (take_wolf T7)))
% 5.29/5.47 (∀ (X Y U : Iota), p south X south Y U → p north X north Y (take_goat U)))
% 5.29/5.47 (∀ (X1 Y1 V : Iota), p north X1 north Y1 V → p south X1 south Y1 (take_goat V)))
% 5.29/5.47 (∀ (T8 : Iota), p south north south south T8 → p north north south north (take_cabbage T8)))
% 5.29/5.47 (∀ (T9 : Iota), p north north south north T9 → p south north south south (take_cabbage T9)))
% 5.29/5.47 (∀ (U1 : Iota), p south south north south U1 → p north south north north (take_cabbage U1)))
% 5.29/5.47 (∀ (V1 : Iota), p north south north north V1 → p south south north south (take_cabbage V1)) →
% 5.29/5.47 Exists fun Z => p north north north north Z))
% 5.29/5.47 True
% 5.29/5.47 Clause #1 (by betaEtaReduce #[0]): Eq
% 5.29/5.47 (Not
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And
% 5.29/5.47 (And (p south south south south start)
% 5.29/5.47 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.29/5.47 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.29/5.47 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.29/5.47 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.29/5.47 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.29/5.47 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.29/5.47 (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)))
% 5.29/5.47 (∀ (T7 : Iota), p north north north south T7 → p south south north south (take_wolf T7)))
% 5.29/5.47 (∀ (X Y U : Iota), p south X south Y U → p north X north Y (take_goat U)))
% 5.29/5.47 (∀ (X1 Y1 V : Iota), p north X1 north Y1 V → p south X1 south Y1 (take_goat V)))
% 5.29/5.47 (∀ (T8 : Iota), p south north south south T8 → p north north south north (take_cabbage T8)))
% 5.29/5.47 (∀ (T9 : Iota), p north north south north T9 → p south north south south (take_cabbage T9)))
% 5.29/5.47 (∀ (U1 : Iota), p south south north south U1 → p north south north north (take_cabbage U1)))
% 5.29/5.47 (∀ (V1 : Iota), p north south north north V1 → p south south north south (take_cabbage V1)) →
% 5.29/5.49 Exists (p north north north north)))
% 5.29/5.49 True
% 5.29/5.49 Clause #2 (by clausification #[1]): Eq
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And (p south south south south start)
% 5.29/5.49 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.29/5.49 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.29/5.49 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.29/5.49 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.29/5.49 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.29/5.49 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.29/5.49 (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)))
% 5.29/5.49 (∀ (T7 : Iota), p north north north south T7 → p south south north south (take_wolf T7)))
% 5.29/5.49 (∀ (X Y U : Iota), p south X south Y U → p north X north Y (take_goat U)))
% 5.29/5.49 (∀ (X1 Y1 V : Iota), p north X1 north Y1 V → p south X1 south Y1 (take_goat V)))
% 5.29/5.49 (∀ (T8 : Iota), p south north south south T8 → p north north south north (take_cabbage T8)))
% 5.29/5.49 (∀ (T9 : Iota), p north north south north T9 → p south north south south (take_cabbage T9)))
% 5.29/5.49 (∀ (U1 : Iota), p south south north south U1 → p north south north north (take_cabbage U1)))
% 5.29/5.49 (∀ (V1 : Iota), p north south north north V1 → p south south north south (take_cabbage V1)) →
% 5.29/5.49 Exists (p north north north north))
% 5.29/5.49 False
% 5.29/5.49 Clause #3 (by clausification #[2]): Eq
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And
% 5.29/5.49 (And (p south south south south start)
% 5.29/5.49 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.29/5.49 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.29/5.49 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.29/5.49 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.29/5.49 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.29/5.49 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.29/5.49 (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)))
% 5.29/5.49 (∀ (T7 : Iota), p north north north south T7 → p south south north south (take_wolf T7)))
% 5.29/5.49 (∀ (X Y U : Iota), p south X south Y U → p north X north Y (take_goat U)))
% 5.29/5.49 (∀ (X1 Y1 V : Iota), p north X1 north Y1 V → p south X1 south Y1 (take_goat V)))
% 5.29/5.49 (∀ (T8 : Iota), p south north south south T8 → p north north south north (take_cabbage T8)))
% 5.29/5.49 (∀ (T9 : Iota), p north north south north T9 → p south north south south (take_cabbage T9)))
% 5.29/5.49 (∀ (U1 : Iota), p south south north south U1 → p north south north north (take_cabbage U1)))
% 5.29/5.49 (∀ (V1 : Iota), p north south north north V1 → p south south north south (take_cabbage V1)))
% 5.29/5.49 True
% 5.29/5.49 Clause #4 (by clausification #[2]): Eq (Exists (p north north north north)) False
% 5.29/5.49 Clause #6 (by clausification #[3]): Eq
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And (p south south south south start)
% 5.29/5.50 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.29/5.50 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.29/5.50 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.29/5.50 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.29/5.50 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.29/5.50 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.29/5.50 (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)))
% 5.29/5.50 (∀ (T7 : Iota), p north north north south T7 → p south south north south (take_wolf T7)))
% 5.29/5.50 (∀ (X Y U : Iota), p south X south Y U → p north X north Y (take_goat U)))
% 5.29/5.50 (∀ (X1 Y1 V : Iota), p north X1 north Y1 V → p south X1 south Y1 (take_goat V)))
% 5.29/5.50 (∀ (T8 : Iota), p south north south south T8 → p north north south north (take_cabbage T8)))
% 5.29/5.50 (∀ (T9 : Iota), p north north south north T9 → p south north south south (take_cabbage T9)))
% 5.29/5.50 (∀ (U1 : Iota), p south south north south U1 → p north south north north (take_cabbage U1)))
% 5.29/5.50 True
% 5.29/5.50 Clause #9 (by clausification #[4]): ∀ (a : Iota), Eq (p north north north north a) False
% 5.29/5.50 Clause #11 (by clausification #[6]): Eq
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And (p south south south south start)
% 5.29/5.50 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.29/5.50 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.29/5.50 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.29/5.50 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.29/5.50 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.29/5.50 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.29/5.50 (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)))
% 5.29/5.50 (∀ (T7 : Iota), p north north north south T7 → p south south north south (take_wolf T7)))
% 5.29/5.50 (∀ (X Y U : Iota), p south X south Y U → p north X north Y (take_goat U)))
% 5.29/5.50 (∀ (X1 Y1 V : Iota), p north X1 north Y1 V → p south X1 south Y1 (take_goat V)))
% 5.29/5.50 (∀ (T8 : Iota), p south north south south T8 → p north north south north (take_cabbage T8)))
% 5.29/5.50 (∀ (T9 : Iota), p north north south north T9 → p south north south south (take_cabbage T9)))
% 5.29/5.50 True
% 5.29/5.50 Clause #15 (by clausification #[11]): Eq
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And
% 5.29/5.50 (And (p south south south south start)
% 5.29/5.50 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.29/5.50 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.29/5.50 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.29/5.50 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.29/5.51 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.29/5.51 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.29/5.51 (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)))
% 5.29/5.51 (∀ (T7 : Iota), p north north north south T7 → p south south north south (take_wolf T7)))
% 5.29/5.51 (∀ (X Y U : Iota), p south X south Y U → p north X north Y (take_goat U)))
% 5.29/5.51 (∀ (X1 Y1 V : Iota), p north X1 north Y1 V → p south X1 south Y1 (take_goat V)))
% 5.29/5.51 (∀ (T8 : Iota), p south north south south T8 → p north north south north (take_cabbage T8)))
% 5.29/5.51 True
% 5.29/5.51 Clause #18 (by clausification #[15]): Eq (∀ (T8 : Iota), p south north south south T8 → p north north south north (take_cabbage T8)) True
% 5.29/5.51 Clause #19 (by clausification #[15]): Eq
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And (p south south south south start)
% 5.29/5.51 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.29/5.51 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.29/5.51 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.29/5.51 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.29/5.51 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.29/5.51 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.29/5.51 (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)))
% 5.29/5.51 (∀ (T7 : Iota), p north north north south T7 → p south south north south (take_wolf T7)))
% 5.29/5.51 (∀ (X Y U : Iota), p south X south Y U → p north X north Y (take_goat U)))
% 5.29/5.51 (∀ (X1 Y1 V : Iota), p north X1 north Y1 V → p south X1 south Y1 (take_goat V)))
% 5.29/5.51 True
% 5.29/5.51 Clause #20 (by clausification #[18]): ∀ (a : Iota), Eq (p south north south south a → p north north south north (take_cabbage a)) True
% 5.29/5.51 Clause #21 (by clausification #[20]): ∀ (a : Iota), Or (Eq (p south north south south a) False) (Eq (p north north south north (take_cabbage a)) True)
% 5.29/5.51 Clause #22 (by clausification #[19]): Eq (∀ (X1 Y1 V : Iota), p north X1 north Y1 V → p south X1 south Y1 (take_goat V)) True
% 5.29/5.51 Clause #23 (by clausification #[19]): Eq
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And
% 5.29/5.51 (And (p south south south south start)
% 5.29/5.51 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.29/5.51 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.29/5.51 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.29/5.51 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.29/5.51 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.29/5.51 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.29/5.51 (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)))
% 5.29/5.51 (∀ (T7 : Iota), p north north north south T7 → p south south north south (take_wolf T7)))
% 5.29/5.51 (∀ (X Y U : Iota), p south X south Y U → p north X north Y (take_goat U)))
% 5.29/5.51 True
% 5.29/5.51 Clause #24 (by clausification #[22]): ∀ (a : Iota), Eq (∀ (Y1 V : Iota), p north a north Y1 V → p south a south Y1 (take_goat V)) True
% 5.29/5.51 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (∀ (V : Iota), p north a north a_1 V → p south a south a_1 (take_goat V)) True
% 5.29/5.51 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 : Iota), Eq (p north a north a_1 a_2 → p south a south a_1 (take_goat a_2)) True
% 5.38/5.53 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Or (Eq (p north a north a_1 a_2) False) (Eq (p south a south a_1 (take_goat a_2)) True)
% 5.38/5.53 Clause #28 (by clausification #[23]): Eq (∀ (X Y U : Iota), p south X south Y U → p north X north Y (take_goat U)) True
% 5.38/5.53 Clause #29 (by clausification #[23]): Eq
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And (p south south south south start)
% 5.38/5.53 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.38/5.53 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.38/5.53 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.38/5.53 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.38/5.53 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.38/5.53 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.38/5.53 (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)))
% 5.38/5.53 (∀ (T7 : Iota), p north north north south T7 → p south south north south (take_wolf T7)))
% 5.38/5.53 True
% 5.38/5.53 Clause #30 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (Y U : Iota), p south a south Y U → p north a north Y (take_goat U)) True
% 5.38/5.53 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (∀ (U : Iota), p south a south a_1 U → p north a north a_1 (take_goat U)) True
% 5.38/5.53 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), Eq (p south a south a_1 a_2 → p north a north a_1 (take_goat a_2)) True
% 5.38/5.53 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Or (Eq (p south a south a_1 a_2) False) (Eq (p north a north a_1 (take_goat a_2)) True)
% 5.38/5.53 Clause #35 (by clausification #[29]): Eq
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And (p south south south south start)
% 5.38/5.53 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.38/5.53 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.38/5.53 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.38/5.53 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.38/5.53 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.38/5.53 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.38/5.53 (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)))
% 5.38/5.53 True
% 5.38/5.53 Clause #38 (by clausification #[35]): Eq (∀ (T6 : Iota), p south south north south T6 → p north north north south (take_wolf T6)) True
% 5.38/5.53 Clause #39 (by clausification #[35]): Eq
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And (p south south south south start)
% 5.38/5.53 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.38/5.53 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.38/5.53 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.38/5.53 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.38/5.53 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.38/5.53 (∀ (T5 : Iota), p north north south north T5 → p south south south north (take_wolf T5)))
% 5.38/5.53 True
% 5.38/5.53 Clause #40 (by clausification #[38]): ∀ (a : Iota), Eq (p south south north south a → p north north north south (take_wolf a)) True
% 5.38/5.53 Clause #41 (by clausification #[40]): ∀ (a : Iota), Or (Eq (p south south north south a) False) (Eq (p north north north south (take_wolf a)) True)
% 5.38/5.53 Clause #43 (by clausification #[39]): Eq
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And
% 5.38/5.53 (And (p south south south south start)
% 5.38/5.55 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.38/5.55 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.38/5.55 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.38/5.55 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.38/5.55 (∀ (T4 : Iota), p south south south north T4 → p north north south north (take_wolf T4)))
% 5.38/5.55 True
% 5.38/5.55 Clause #47 (by clausification #[43]): Eq
% 5.38/5.55 (And
% 5.38/5.55 (And
% 5.38/5.55 (And
% 5.38/5.55 (And (p south south south south start)
% 5.38/5.55 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.38/5.55 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.38/5.55 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.38/5.55 (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)))
% 5.38/5.55 True
% 5.38/5.55 Clause #50 (by clausification #[47]): Eq (∀ (T3 : Iota), p north south north south T3 → p south south north south (go_alone T3)) True
% 5.38/5.55 Clause #51 (by clausification #[47]): Eq
% 5.38/5.55 (And
% 5.38/5.55 (And
% 5.38/5.55 (And (p south south south south start)
% 5.38/5.55 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.38/5.55 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.38/5.55 (∀ (T2 : Iota), p south south north south T2 → p north south north south (go_alone T2)))
% 5.38/5.55 True
% 5.38/5.55 Clause #52 (by clausification #[50]): ∀ (a : Iota), Eq (p north south north south a → p south south north south (go_alone a)) True
% 5.38/5.55 Clause #53 (by clausification #[52]): ∀ (a : Iota), Or (Eq (p north south north south a) False) (Eq (p south south north south (go_alone a)) True)
% 5.38/5.55 Clause #55 (by clausification #[51]): Eq
% 5.38/5.55 (And
% 5.38/5.55 (And (p south south south south start)
% 5.38/5.55 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.38/5.55 (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)))
% 5.38/5.55 True
% 5.38/5.55 Clause #58 (by clausification #[55]): Eq (∀ (T1 : Iota), p north north south north T1 → p south north south north (go_alone T1)) True
% 5.38/5.55 Clause #59 (by clausification #[55]): Eq
% 5.38/5.55 (And (p south south south south start)
% 5.38/5.55 (∀ (T : Iota), p south north south north T → p north north south north (go_alone T)))
% 5.38/5.55 True
% 5.38/5.55 Clause #60 (by clausification #[58]): ∀ (a : Iota), Eq (p north north south north a → p south north south north (go_alone a)) True
% 5.38/5.55 Clause #61 (by clausification #[60]): ∀ (a : Iota), Or (Eq (p north north south north a) False) (Eq (p south north south north (go_alone a)) True)
% 5.38/5.55 Clause #63 (by clausification #[59]): Eq (p south south south south start) True
% 5.38/5.55 Clause #66 (by superposition #[63, 33]): Or (Eq True False) (Eq (p north south north south (take_goat start)) True)
% 5.38/5.55 Clause #67 (by clausification #[66]): Eq (p north south north south (take_goat start)) True
% 5.38/5.55 Clause #68 (by superposition #[67, 53]): Or (Eq True False) (Eq (p south south north south (go_alone (take_goat start))) True)
% 5.38/5.55 Clause #70 (by clausification #[68]): Eq (p south south north south (go_alone (take_goat start))) True
% 5.38/5.55 Clause #72 (by superposition #[70, 41]): Or (Eq True False) (Eq (p north north north south (take_wolf (go_alone (take_goat start)))) True)
% 5.38/5.55 Clause #79 (by clausification #[72]): Eq (p north north north south (take_wolf (go_alone (take_goat start)))) True
% 5.38/5.55 Clause #81 (by superposition #[79, 27]): Or (Eq True False) (Eq (p south north south south (take_goat (take_wolf (go_alone (take_goat start))))) True)
% 5.38/5.55 Clause #105 (by clausification #[81]): Eq (p south north south south (take_goat (take_wolf (go_alone (take_goat start))))) True
% 5.38/5.55 Clause #106 (by superposition #[105, 21]): Or (Eq True False)
% 5.38/5.55 (Eq (p north north south north (take_cabbage (take_goat (take_wolf (go_alone (take_goat start)))))) True)
% 5.38/5.55 Clause #166 (by clausification #[106]): Eq (p north north south north (take_cabbage (take_goat (take_wolf (go_alone (take_goat start)))))) True
% 5.38/5.55 Clause #169 (by superposition #[166, 61]): Or (Eq True False)
% 5.38/5.55 (Eq (p south north south north (go_alone (take_cabbage (take_goat (take_wolf (go_alone (take_goat start))))))) True)
% 5.38/5.55 Clause #170 (by clausification #[169]): Eq (p south north south north (go_alone (take_cabbage (take_goat (take_wolf (go_alone (take_goat start))))))) True
% 5.38/5.55 Clause #172 (by superposition #[170, 33]): Or (Eq True False)
% 5.38/5.55 (Eq
% 5.38/5.55 (p north north north north
% 5.38/5.55 (take_goat (go_alone (take_cabbage (take_goat (take_wolf (go_alone (take_goat start))))))))
% 5.38/5.55 True)
% 5.38/5.55 Clause #319 (by clausification #[172]): Eq
% 5.38/5.55 (p north north north north (take_goat (go_alone (take_cabbage (take_goat (take_wolf (go_alone (take_goat start))))))))
% 5.38/5.55 True
% 5.38/5.55 Clause #320 (by superposition #[319, 9]): Eq True False
% 5.38/5.55 Clause #322 (by clausification #[320]): False
% 5.38/5.55 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------