TSTP Solution File: LCL135-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL135-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 07:00:50 EDT 2023

% Result   : Unsatisfiable 10.36s 10.54s
% Output   : Proof 10.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : LCL135-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n031.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   : Thu Aug 24 19:24:06 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Qe8XZKqcFF/cvc5---1.0.5_30741.p...
% 0.21/0.49  ------- get file name : TPTP file name is LCL135-1
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30741.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.31/10.51  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.36/10.54  % SZS status Unsatisfiable for LCL135-1
% 10.36/10.54  % SZS output start Proof for LCL135-1
% 10.36/10.54  (
% 10.36/10.54  (let ((_let_1 (tptp.implies tptp.y tptp.x))) (let ((_let_2 (tptp.implies tptp.x _let_1))) (let ((_let_3 (not (= _let_2 tptp.truth)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies X Y) Y) (tptp.implies (tptp.implies Y X) X))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))) tptp.truth)))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.implies tptp.truth X) X)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))))) (let ((_let_8 (tptp.implies tptp.truth tptp.x))) (let ((_let_9 (tptp.implies tptp.y tptp.truth))) (let ((_let_10 (= tptp.truth (tptp.implies _let_9 (tptp.implies _let_8 _let_1))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (= _let_2 (tptp.implies tptp.truth _let_2)))) (let ((_let_13 (tptp.implies tptp.truth tptp.truth))) (let ((_let_14 (tptp.implies tptp.truth tptp.y))) (let ((_let_15 (= tptp.truth (tptp.implies _let_14 (tptp.implies _let_9 _let_13))))) (let ((_let_16 (tptp.implies _let_14 _let_14))) (let ((_let_17 (= _let_16 (tptp.implies tptp.truth _let_16)))) (let ((_let_18 (= tptp.truth (tptp.implies _let_13 _let_16)))) (let ((_let_19 (= (tptp.implies _let_14 tptp.y) (tptp.implies _let_9 tptp.truth)))) (let ((_let_20 (= tptp.y _let_14))) (let ((_let_21 (= tptp.x _let_8))) (let ((_let_22 (= tptp.truth _let_13))) (let ((_let_23 (= tptp.truth _let_2))) (let ((_let_24 (not _let_10))) (let ((_let_25 (forall ((X $$unsorted)) (= X (tptp.implies tptp.truth X))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 (_let_7))) (let ((_let_29 (_let_4))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (SYMM (ASSUME :args (_let_3))))) (let ((_let_32 (not _let_23))) (let ((_let_33 (and _let_32 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_15 _let_12))) (let ((_let_34 (ASSUME :args (_let_12)))) (let ((_let_35 (APPLY_UF tptp.implies))) (let ((_let_36 (ASSUME :args (_let_21)))) (let ((_let_37 (ASSUME :args (_let_15)))) (let ((_let_38 (ASSUME :args (_let_22)))) (let ((_let_39 (SYMM _let_38))) (let ((_let_40 (ASSUME :args (_let_19)))) (let ((_let_41 (ASSUME :args (_let_20)))) (let ((_let_42 (ASSUME :args (_let_17)))) (let ((_let_43 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (tptp.y tptp.truth tptp.x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_28)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_33)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_31 _let_34 _let_37 _let_41 _let_38 _let_40 _let_42 _let_43 _let_36) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.truth)) (TRANS (CONG (TRANS (CONG _let_41 (TRANS (SYMM (SYMM _let_43)) (CONG _let_39 (REFL :args (_let_16)) :args _let_35) (SYMM _let_42) (CONG (REFL :args (_let_14)) (SYMM _let_41) :args _let_35) (SYMM (SYMM _let_40)) (CONG (REFL :args (_let_9)) (SYMM _let_39) :args _let_35)) :args _let_35) (SYMM _let_37)) (CONG (SYMM _let_36) (REFL :args (_let_1)) :args _let_35) :args _let_35) (SYMM _let_34)) :args (=)) (FALSE_INTRO _let_31))) :args (_let_32 _let_12 _let_15 _let_20 _let_22 _let_19 _let_17 _let_18 _let_21))) :args (_let_32 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_15 _let_12))) :args (true _let_33)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_23))) (REFL :args ((not _let_22))) (REFL :args ((not _let_21))) (REFL :args ((not _let_20))) (REFL :args ((not _let_19))) (REFL :args ((not _let_18))) (REFL :args ((not _let_17))) (REFL :args ((not _let_15))) (REFL :args ((not _let_12))) (REFL :args (_let_24)) :args (or))) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.truth QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_26 :args (_let_22 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.x QUANTIFIERS_INST_CBQI_PROP)) :args _let_27)) _let_26 :args (_let_21 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.y QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_26 :args (_let_20 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.truth tptp.y QUANTIFIERS_INST_ENUM)) :args _let_29)) _let_30 :args (_let_19 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (tptp.truth tptp.truth tptp.y QUANTIFIERS_INST_ENUM)) :args _let_28)) _let_11 :args (_let_18 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_27)) _let_26 :args (_let_17 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (tptp.truth tptp.y tptp.truth QUANTIFIERS_INST_CBQI_PROP)) :args _let_28)) _let_11 :args (_let_15 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_2 QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_26 :args (_let_12 false _let_25)) :args (_let_24 true _let_23 false _let_22 false _let_21 false _let_20 false _let_19 false _let_18 false _let_17 false _let_15 false _let_12)) _let_11 :args (false true _let_10 false _let_7)) :args (_let_6 _let_5 _let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)) tptp.truth)) _let_3))))))))))))))))))))))))))))))))))))))))))))))
% 10.36/10.54  )
% 10.36/10.54  % SZS output end Proof for LCL135-1
% 10.36/10.55  % cvc5---1.0.5 exiting
% 10.36/10.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------