TSTP Solution File: PUZ047+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 13:13:07 EDT 2023

% Result   : Theorem 0.44s 0.63s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n009.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   : Sat Aug 26 22:31:05 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.44/0.63  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.SnWOnHVdXi/cvc5---1.0.5_4346.p...
% 0.44/0.63  ------- get file name : TPTP file name is PUZ047+1
% 0.44/0.63  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4346.smt2...
% 0.44/0.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.44/0.63  % SZS status Theorem for PUZ047+1
% 0.44/0.63  % SZS output start Proof for PUZ047+1
% 0.44/0.63  (
% 0.44/0.63  (let ((_let_1 (tptp.p tptp.south tptp.south tptp.south tptp.south tptp.start))) (let ((_let_2 (not (=> (and _let_1 (forall ((T $$unsorted)) (=> (tptp.p tptp.south tptp.north tptp.south tptp.north T) (tptp.p tptp.north tptp.north tptp.south tptp.north (tptp.go_alone T)))) (forall ((T1 $$unsorted)) (=> (tptp.p tptp.north tptp.north tptp.south tptp.north T1) (tptp.p tptp.south tptp.north tptp.south tptp.north (tptp.go_alone T1)))) (forall ((T2 $$unsorted)) (=> (tptp.p tptp.south tptp.south tptp.north tptp.south T2) (tptp.p tptp.north tptp.south tptp.north tptp.south (tptp.go_alone T2)))) (forall ((T3 $$unsorted)) (=> (tptp.p tptp.north tptp.south tptp.north tptp.south T3) (tptp.p tptp.south tptp.south tptp.north tptp.south (tptp.go_alone T3)))) (forall ((T4 $$unsorted)) (=> (tptp.p tptp.south tptp.south tptp.south tptp.north T4) (tptp.p tptp.north tptp.north tptp.south tptp.north (tptp.take_wolf T4)))) (forall ((T5 $$unsorted)) (=> (tptp.p tptp.north tptp.north tptp.south tptp.north T5) (tptp.p tptp.south tptp.south tptp.south tptp.north (tptp.take_wolf T5)))) (forall ((T6 $$unsorted)) (=> (tptp.p tptp.south tptp.south tptp.north tptp.south T6) (tptp.p tptp.north tptp.north tptp.north tptp.south (tptp.take_wolf T6)))) (forall ((T7 $$unsorted)) (=> (tptp.p tptp.north tptp.north tptp.north tptp.south T7) (tptp.p tptp.south tptp.south tptp.north tptp.south (tptp.take_wolf T7)))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (=> (tptp.p tptp.south X tptp.south Y U) (tptp.p tptp.north X tptp.north Y (tptp.take_goat U)))) (forall ((X1 $$unsorted) (Y1 $$unsorted) (V $$unsorted)) (=> (tptp.p tptp.north X1 tptp.north Y1 V) (tptp.p tptp.south X1 tptp.south Y1 (tptp.take_goat V)))) (forall ((T8 $$unsorted)) (=> (tptp.p tptp.south tptp.north tptp.south tptp.south T8) (tptp.p tptp.north tptp.north tptp.south tptp.north (tptp.take_cabbage T8)))) (forall ((T9 $$unsorted)) (=> (tptp.p tptp.north tptp.north tptp.south tptp.north T9) (tptp.p tptp.south tptp.north tptp.south tptp.south (tptp.take_cabbage T9)))) (forall ((U1 $$unsorted)) (=> (tptp.p tptp.south tptp.south tptp.north tptp.south U1) (tptp.p tptp.north tptp.south tptp.north tptp.north (tptp.take_cabbage U1)))) (forall ((V1 $$unsorted)) (=> (tptp.p tptp.north tptp.south tptp.north tptp.north V1) (tptp.p tptp.south tptp.south tptp.north tptp.south (tptp.take_cabbage V1))))) (exists ((Z $$unsorted)) (tptp.p tptp.north tptp.north tptp.north tptp.north Z)))))) (let ((_let_3 (forall ((Z $$unsorted)) (not (tptp.p tptp.north tptp.north tptp.north tptp.north Z))))) (let ((_let_4 (tptp.take_goat tptp.start))) (let ((_let_5 (tptp.go_alone _let_4))) (let ((_let_6 (tptp.take_cabbage _let_5))) (let ((_let_7 (tptp.take_goat _let_6))) (let ((_let_8 (tptp.take_wolf _let_7))) (let ((_let_9 (tptp.go_alone _let_8))) (let ((_let_10 (tptp.take_goat _let_9))) (let ((_let_11 (tptp.p tptp.north tptp.north tptp.north tptp.north _let_10))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (tptp.p tptp.south tptp.north tptp.south tptp.north _let_9))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_11))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (or (not (tptp.p tptp.south X tptp.south Y U)) (tptp.p tptp.north X tptp.north Y (tptp.take_goat U)))))) (let ((_let_17 (NOT_IMPLIES_ELIM1 _let_12))) (let ((_let_18 (AND_ELIM _let_17 :args (9)))) (let ((_let_19 (_let_16))) (let ((_let_20 ((not (= (tptp.p tptp.south X tptp.south Y U) false))))) (let ((_let_21 (ASSUME :args _let_19))) (let ((_let_22 (tptp.p tptp.north tptp.north tptp.south tptp.north _let_8))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_13))) (let ((_let_25 (forall ((T1 $$unsorted)) (or (not (tptp.p tptp.north tptp.north tptp.south tptp.north T1)) (tptp.p tptp.south tptp.north tptp.south tptp.north (tptp.go_alone T1)))))) (let ((_let_26 (_let_25))) (let ((_let_27 (tptp.p tptp.south tptp.south tptp.south tptp.north _let_7))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_22))) (let ((_let_30 (forall ((T4 $$unsorted)) (or (not (tptp.p tptp.south tptp.south tptp.south tptp.north T4)) (tptp.p tptp.north tptp.north tptp.south tptp.north (tptp.take_wolf T4)))))) (let ((_let_31 (_let_30))) (let ((_let_32 (tptp.p tptp.north tptp.south tptp.north tptp.north _let_6))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_27))) (let ((_let_35 (forall ((X1 $$unsorted) (Y1 $$unsorted) (V $$unsorted)) (or (not (tptp.p tptp.north X1 tptp.north Y1 V)) (tptp.p tptp.south X1 tptp.south Y1 (tptp.take_goat V)))))) (let ((_let_36 (_let_35))) (let ((_let_37 (tptp.p tptp.south tptp.south tptp.north tptp.south _let_5))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_32))) (let ((_let_40 (forall ((U1 $$unsorted)) (or (not (tptp.p tptp.south tptp.south tptp.north tptp.south U1)) (tptp.p tptp.north tptp.south tptp.north tptp.north (tptp.take_cabbage U1)))))) (let ((_let_41 (_let_40))) (let ((_let_42 (tptp.p tptp.north tptp.south tptp.north tptp.south _let_4))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_37))) (let ((_let_45 (forall ((T3 $$unsorted)) (or (not (tptp.p tptp.north tptp.south tptp.north tptp.south T3)) (tptp.p tptp.south tptp.south tptp.north tptp.south (tptp.go_alone T3)))))) (let ((_let_46 (_let_45))) (let ((_let_47 (not _let_1))) (let ((_let_48 (or _let_47 _let_42))) (let ((_let_49 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_49) :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p tptp.north tptp.north tptp.north tptp.north Z) false))))) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_11 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_13 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_22 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_27 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_32 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_37 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_42 (not _let_48)))) (AND_ELIM _let_17 :args (0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.south tptp.south tptp.start QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_48 false _let_16)) :args (_let_42 false _let_1 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p tptp.north tptp.south tptp.north tptp.south T3) false))))) :args _let_46)) (AND_ELIM _let_17 :args (4)) :args (_let_44 false _let_45)) :args (_let_37 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_41) :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p tptp.south tptp.south tptp.north tptp.south U1) false))))) :args _let_41)) (AND_ELIM _let_17 :args (13)) :args (_let_39 false _let_40)) :args (_let_32 false _let_37 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args (tptp.south tptp.north _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p tptp.north X1 tptp.north Y1 V) false))))) :args _let_36)) (AND_ELIM _let_17 :args (10)) :args (_let_34 false _let_35)) :args (_let_27 false _let_32 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_31) :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p tptp.south tptp.south tptp.south tptp.north T4) false))))) :args _let_31)) (AND_ELIM _let_17 :args (5)) :args (_let_29 false _let_30)) :args (_let_22 false _let_27 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p tptp.north tptp.north tptp.south tptp.north T1) false))))) :args _let_26)) (AND_ELIM _let_17 :args (2)) :args (_let_24 false _let_25)) :args (_let_13 false _let_22 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.north tptp.north _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_20)) :args _let_19)) _let_18 :args (_let_15 false _let_16)) :args (_let_11 false _let_13 false _let_15)) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_12)) :args (false false _let_11 false _let_3)) :args (_let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.44/0.63  )
% 0.44/0.63  % SZS output end Proof for PUZ047+1
% 0.44/0.63  % cvc5---1.0.5 exiting
% 0.44/0.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------