TSTP Solution File: PUZ129+2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ129+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 13:13:29 EDT 2023

% Result   : Theorem 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ129+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 22:07:42 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gnrLwHJqYC/cvc5---1.0.5_10959.p...
% 0.20/0.53  ------- get file name : TPTP file name is PUZ129+2
% 0.20/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10959.smt2...
% 0.20/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Theorem for PUZ129+2
% 0.20/0.53  % SZS output start Proof for PUZ129+2
% 0.20/0.53  (
% 0.20/0.53  (let ((_let_1 (not (=> (and (forall ((A $$unsorted)) (=> (and (tptp.person A) (tptp.property1 A tptp.honest tptp.pos) (tptp.property1 A tptp.industrious tptp.pos)) (exists ((B $$unsorted)) (and (tptp.property1 B tptp.healthy tptp.pos) (= A B))))) (forall ((C $$unsorted)) (=> (tptp.grocer C) (not (exists ((D $$unsorted)) (and (tptp.property1 D tptp.healthy tptp.pos) (= C D)))))) (forall ((E $$unsorted)) (=> (and (tptp.grocer E) (tptp.property1 E tptp.industrious tptp.pos)) (exists ((F $$unsorted)) (and (tptp.property1 F tptp.honest tptp.pos) (= E F))))) (forall ((G $$unsorted)) (=> (tptp.cyclist G) (exists ((H $$unsorted)) (and (tptp.property1 H tptp.industrious tptp.pos) (= G H))))) (forall ((I $$unsorted)) (=> (and (tptp.cyclist I) (tptp.property1 I tptp.unhealthy tptp.pos)) (exists ((J $$unsorted)) (and (tptp.property1 J tptp.dishonest tptp.pos) (= I J))))) (forall ((K $$unsorted)) (=> (and (tptp.person K) (tptp.property1 K tptp.healthy tptp.pos)) (not (exists ((L $$unsorted)) (and (tptp.property1 L tptp.unhealthy tptp.pos) (= K L)))))) (forall ((M $$unsorted)) (=> (and (tptp.person M) (tptp.property1 M tptp.honest tptp.pos)) (not (exists ((N $$unsorted)) (and (tptp.property1 N tptp.dishonest tptp.pos) (= M N)))))) (forall ((O $$unsorted)) (=> (tptp.grocer O) (exists ((P $$unsorted)) (and (tptp.person P) (= O P))))) (forall ((Q $$unsorted)) (=> (tptp.cyclist Q) (exists ((R $$unsorted)) (and (tptp.person R) (= Q R)))))) (forall ((S $$unsorted)) (=> (tptp.grocer S) (not (exists ((T $$unsorted)) (and (tptp.cyclist T) (= S T)))))))))) (let ((_let_2 (forall ((A $$unsorted)) (or (not (tptp.person A)) (not (tptp.property1 A tptp.honest tptp.pos)) (not (tptp.property1 A tptp.industrious tptp.pos)) (tptp.property1 A tptp.healthy tptp.pos))))) (let ((_let_3 (tptp.property1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.healthy tptp.pos))) (let ((_let_4 (tptp.property1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.industrious tptp.pos))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.property1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.honest tptp.pos))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.person SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7 _let_5 _let_3))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (NOT_IMPLIES_ELIM1 _let_11))) (let ((_let_13 (not _let_10))) (let ((_let_14 (tptp.grocer SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_8))) (let ((_let_17 (forall ((O $$unsorted)) (or (not (tptp.grocer O)) (tptp.person O))))) (let ((_let_18 (_let_17))) (let ((_let_19 (tptp.cyclist SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_15 _let_20))) (let ((_let_22 (forall ((S $$unsorted)) (or (not (tptp.grocer S)) (not (tptp.cyclist S)))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (or))) (let ((_let_25 (not _let_22))) (let ((_let_26 (_let_25))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_26)) :args _let_26)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_22))) (REFL :args (_let_23)) :args _let_24)) (NOT_IMPLIES_ELIM2 _let_11) :args (_let_23 true _let_22)))) (let ((_let_28 (REFL :args (_let_21)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_24)) :args ((or _let_14 _let_21))) _let_27 :args (_let_14 true _let_21)))) (let ((_let_30 (or _let_15 _let_5 _let_6))) (let ((_let_31 (forall ((E $$unsorted)) (or (not (tptp.grocer E)) (not (tptp.property1 E tptp.industrious tptp.pos)) (tptp.property1 E tptp.honest tptp.pos))))) (let ((_let_32 (_let_31))) (let ((_let_33 (or _let_20 _let_4))) (let ((_let_34 (forall ((G $$unsorted)) (or (not (tptp.cyclist G)) (tptp.property1 G tptp.industrious tptp.pos))))) (let ((_let_35 (_let_34))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_20 _let_4 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_24)) :args ((or _let_19 _let_21))) _let_27 :args (_let_19 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.cyclist G) false))))) :args _let_35)) (AND_ELIM _let_12 :args (3)) :args (_let_33 false _let_34)) :args (_let_4 false _let_19 false _let_33)))) (let ((_let_37 (not _let_3))) (let ((_let_38 (or _let_15 _let_37))) (let ((_let_39 (forall ((C $$unsorted)) (or (not (tptp.grocer C)) (not (tptp.property1 C tptp.healthy tptp.pos)))))) (let ((_let_40 (_let_39))) (let ((_let_41 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_41) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.person A) false))))) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_3 _let_5 _let_7 _let_9 _let_13))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_15 _let_37 (not _let_38)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.grocer C) false))))) :args _let_40)) (AND_ELIM _let_12 :args (1)) :args (_let_38 false _let_39)) :args (_let_37 false _let_14 false _let_38)) _let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_15 _let_5 _let_6 (not _let_30)))) _let_29 _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_32) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.grocer E) false))))) :args _let_32)) (AND_ELIM _let_12 :args (2)) :args (_let_30 false _let_31)) :args (_let_6 false _let_14 false _let_4 false _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_8 (not _let_16)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_18) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.grocer O) false))))) :args _let_18)) (AND_ELIM _let_12 :args (7)) :args (_let_16 false _let_17)) :args (_let_8 false _let_14 false _let_16)) :args (_let_13 true _let_3 false _let_4 false _let_6 false _let_8)) (AND_ELIM _let_12 :args (0)) :args (false true _let_10 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for PUZ129+2
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------