%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PHI013+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 12:54:57 EDT 2023

% Result   : Theorem 0.20s 0.54s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PHI013+1 : TPTP v8.1.2. Released v7.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n003.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   : Sun Aug 27 08:54:09 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.K3mwEL3pnR/cvc5---1.0.5_32040.p...
% 0.20/0.54  ------- get file name : TPTP file name is PHI013+1
% 0.20/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32040.smt2...
% 0.20/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54  % SZS status Theorem for PHI013+1
% 0.20/0.54  % SZS output start Proof for PHI013+1
% 0.20/0.54  (
% 0.20/0.54  (let ((_let_1 (tptp.exemplifies_property tptp.existence tptp.god))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.is_the tptp.god tptp.none_greater))) (let ((_let_4 (forall ((X $$unsorted)) (=> (tptp.object X) (=> (and (tptp.is_the X tptp.none_greater) (not (tptp.exemplifies_property tptp.existence X))) (exists ((Y $$unsorted)) (and (tptp.object Y) (tptp.exemplifies_relation tptp.greater_than Y X) (tptp.exemplifies_property tptp.conceivable Y)))))))) (let ((_let_5 (forall ((X $$unsorted)) (=> (tptp.object X) (= (tptp.exemplifies_property tptp.none_greater X) (and (tptp.exemplifies_property tptp.conceivable X) (not (exists ((Y $$unsorted)) (and (tptp.object Y) (tptp.exemplifies_relation tptp.greater_than Y X) (tptp.exemplifies_property tptp.conceivable Y)))))))))) (let ((_let_6 (forall ((X $$unsorted) (F $$unsorted)) (=> (tptp.is_the X F) (and (tptp.property F) (tptp.object X)))))) (let ((_let_7 (forall ((F $$unsorted)) (=> (tptp.property F) (=> (exists ((Y $$unsorted)) (and (tptp.object Y) (tptp.is_the Y F))) (forall ((Z $$unsorted)) (=> (tptp.object Z) (=> (tptp.is_the Z F) (tptp.exemplifies_property F Z))))))))) (let ((_let_8 (forall ((Y $$unsorted)) (or (not (tptp.object Y)) (not (tptp.exemplifies_relation tptp.greater_than Y tptp.god)) (not (tptp.exemplifies_property tptp.conceivable Y)))))) (let ((_let_9 (and (tptp.exemplifies_property tptp.conceivable tptp.god) _let_8))) (let ((_let_10 (tptp.exemplifies_property tptp.none_greater tptp.god))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (tptp.object tptp.god))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11))) (let ((_let_15 (forall ((X $$unsorted)) (or (not (tptp.object X)) (= (tptp.exemplifies_property tptp.none_greater X) (and (tptp.exemplifies_property tptp.conceivable X) (forall ((Y $$unsorted)) (or (not (tptp.object Y)) (not (tptp.exemplifies_relation tptp.greater_than Y X)) (not (tptp.exemplifies_property tptp.conceivable Y)))))))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (tptp.property tptp.none_greater))) (let ((_let_18 (and _let_17 _let_12))) (let ((_let_19 (not _let_3))) (let ((_let_20 (or _let_19 _let_18))) (let ((_let_21 (forall ((X $$unsorted) (F $$unsorted)) (or (not (tptp.is_the X F)) (and (tptp.property F) (tptp.object X)))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (ASSUME :args (_let_3)))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_18 (not _let_20)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.god tptp.none_greater QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.is_the X F) false))))) :args (_let_21))) _let_22 :args (_let_20 false _let_21)) :args (_let_18 false _let_3 false _let_20)))) (let ((_let_25 (not _let_18))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_12 _let_25))) _let_24 :args (_let_12 false _let_18)))) (let ((_let_27 (not _let_17))) (let ((_let_28 (or _let_27 _let_13 _let_19 _let_13 _let_19 _let_10))) (let ((_let_29 (forall ((F $$unsorted) (BOUND_VARIABLE_789 $$unsorted) (BOUND_VARIABLE_782 $$unsorted)) (or (not (tptp.property F)) (not (tptp.object BOUND_VARIABLE_782)) (not (tptp.is_the BOUND_VARIABLE_782 F)) (not (tptp.object BOUND_VARIABLE_789)) (not (tptp.is_the BOUND_VARIABLE_789 F)) (tptp.exemplifies_property F BOUND_VARIABLE_789))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (not _let_9))) (let ((_let_32 (forall ((Y $$unsorted)) (or (not (tptp.object Y)) (not (tptp.exemplifies_relation tptp.greater_than Y tptp.god)) (not (tptp.exemplifies_property tptp.conceivable Y)))))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_13 _let_19 _let_1 _let_33))) (let ((_let_35 (forall ((X $$unsorted)) (or (not (tptp.object X)) (not (tptp.is_the X tptp.none_greater)) (tptp.exemplifies_property tptp.existence X) (not (forall ((Y $$unsorted)) (or (not (tptp.object Y)) (not (tptp.exemplifies_relation tptp.greater_than Y X)) (not (tptp.exemplifies_property tptp.conceivable Y))))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_11)) :args ((or _let_9 (not _let_10) (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_8 _let_31))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_32 (= Y Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_1 _let_19 _let_13 _let_33 (not _let_34)))) (ASSUME :args (_let_2)) _let_23 _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.god QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.is_the X tptp.none_greater) false))))) :args (_let_35))) _let_36 :args (_let_34 false _let_35)) :args (_let_33 true _let_1 false _let_3 false _let_12 false _let_34)) :args ((not _let_8) true _let_32)) :args (_let_31 true _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_28))) :args ((or _let_19 _let_27 _let_13 _let_10 (not _let_28)))) _let_23 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 0)) :args ((or _let_17 _let_25))) _let_24 :args (_let_17 false _let_18)) _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.none_greater tptp.god tptp.god QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.property F) false)) (not (= (tptp.object BOUND_VARIABLE_782) false)) (not (= (tptp.object BOUND_VARIABLE_789) false))))) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_10 false _let_3 false _let_17 false _let_12 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_11 (not _let_14)))) _let_26 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.god QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.object X) false))))) :args (_let_15))) _let_16 :args (_let_14 false _let_15)) :args (_let_11 false _let_12 false _let_14)) :args (false true _let_9 false _let_10 false _let_11)) :args ((forall ((F $$unsorted)) (=> (tptp.property F) (=> (exists ((Y $$unsorted)) (and (tptp.object Y) (tptp.exemplifies_property F Y) (forall ((Z $$unsorted)) (=> (tptp.object Z) (=> (tptp.exemplifies_property F Z) (= Z Y)))))) (exists ((U $$unsorted)) (and (tptp.object U) (tptp.is_the U F)))))) _let_7 _let_6 _let_5 (exists ((X $$unsorted)) (and (tptp.object X) (tptp.exemplifies_property tptp.none_greater X))) (=> (exists ((X $$unsorted)) (and (tptp.object X) (tptp.exemplifies_property tptp.none_greater X))) (exists ((X $$unsorted)) (and (tptp.object X) (tptp.exemplifies_property tptp.none_greater X) (forall ((Y $$unsorted)) (=> (tptp.object Y) (=> (tptp.exemplifies_property tptp.none_greater Y) (= Y X))))))) _let_4 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))
% 0.20/0.54  )
% 0.20/0.54  % SZS output end Proof for PHI013+1
% 0.20/0.54  % cvc5---1.0.5 exiting
% 0.20/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------