TSTP Solution File: REL003+1 by cvc5---1.0.5

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : REL003+1 : TPTP v8.1.2. Released v4.0.0.
% 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 13:36:33 EDT 2023

% Result   : Theorem 10.68s 10.98s
% Output   : Proof 10.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : REL003+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n031.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri Aug 25 21:56:07 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.23/0.51  %----Proving TF0_NAR, FOF, or CNF
% 10.68/10.98  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.N566Svl23Q/cvc5---1.0.5_19045.p...
% 10.68/10.98  ------- get file name : TPTP file name is REL003+1
% 10.68/10.98  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19045.smt2...
% 10.68/10.98  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.68/10.98  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.68/10.98  % SZS status Theorem for REL003+1
% 10.68/10.98  % SZS output start Proof for REL003+1
% 10.68/10.98  (
% 10.68/10.98  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (= (tptp.join X0 X1) X1))) (let ((_let_2 (tptp.converse X1))) (let ((_let_3 (= (tptp.join (tptp.converse X0) _let_2) _let_2))) (and (=> _let_1 _let_3) (=> _let_3 _let_1))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.converse (tptp.join X0 X1)) (tptp.join (tptp.converse X0) (tptp.converse X1)))))) (let ((_let_3 (forall ((X0 $$unsorted)) (= (tptp.converse (tptp.converse X0)) X0)))) (let ((_let_4 (tptp.converse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_5 (tptp.converse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (tptp.join _let_5 _let_4))) (let ((_let_7 (= _let_4 _let_6))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_9 (tptp.converse _let_5))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_9))) (let ((_let_11 (tptp.converse _let_4))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_11))) (let ((_let_13 (= (tptp.converse _let_6) (tptp.join _let_9 _let_11)))) (let ((_let_14 (not _let_7))) (let ((_let_15 (or _let_14 _let_8))) (let ((_let_16 (forall ((BOUND_VARIABLE_746 $$unsorted) (BOUND_VARIABLE_748 $$unsorted)) (let ((_let_1 (tptp.converse BOUND_VARIABLE_748))) (or (not (= _let_1 (tptp.join (tptp.converse BOUND_VARIABLE_746) _let_1))) (= BOUND_VARIABLE_748 (tptp.join BOUND_VARIABLE_746 BOUND_VARIABLE_748))))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (forall ((BOUND_VARIABLE_732 $$unsorted) (BOUND_VARIABLE_734 $$unsorted)) (let ((_let_1 (tptp.converse BOUND_VARIABLE_734))) (or (not (= BOUND_VARIABLE_734 (tptp.join BOUND_VARIABLE_732 BOUND_VARIABLE_734))) (= _let_1 (tptp.join (tptp.converse BOUND_VARIABLE_732) _let_1))))))) (let ((_let_19 (not _let_16))) (let ((_let_20 (tptp.converse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.join (tptp.converse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_20))) (let ((_let_22 (= _let_20 _let_21))) (let ((_let_23 (tptp.join SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_22))) (let ((_let_27 (= _let_21 (tptp.converse _let_23)))) (let ((_let_28 (or))) (let ((_let_29 (_let_2))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (and _let_24 _let_27))) (let ((_let_32 (ASSUME :args (_let_27)))) (let ((_let_33 (APPLY_UF tptp.converse))) (let ((_let_34 (ASSUME :args (_let_24)))) (let ((_let_35 (not _let_18))) (let ((_let_36 (_let_35))) (let ((_let_37 (_let_19))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_37)) :args _let_37)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_16))) (REFL :args (_let_17)) :args _let_28)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_36)) :args _let_36)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_18))) (REFL :args ((not _let_26))) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_31)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_32 _let_34) (SCOPE (TRANS (CONG (SYMM (SYMM _let_34)) :args _let_33) (SYMM _let_32)) :args (_let_27 _let_24))) :args (_let_24 _let_27))) :args (true _let_31)) :args ((or _let_25 _let_22 (not _let_27)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_29))) _let_30 :args (_let_27 false _let_2)) (CNF_OR_NEG :args (_let_26 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_28)) :args ((or _let_24 _let_26))) :args (_let_26 false _let_27 true _let_22 false _let_24)) :args (_let_18 false _let_26)) :args (_let_19 false _let_18)) :args (_let_17 true _let_16)))) (let ((_let_39 (not _let_8))) (let ((_let_40 (forall ((X0 $$unsorted)) (= X0 (tptp.converse (tptp.converse X0)))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 (not _let_13))) (let ((_let_44 (_let_43))) (let ((_let_45 (ASSUME :args (_let_13)))) (let ((_let_46 (ASSUME :args (_let_39)))) (let ((_let_47 (ASSUME :args (_let_12)))) (let ((_let_48 (SYMM _let_47))) (let ((_let_49 (ASSUME :args (_let_10)))) (let ((_let_50 (ASSUME :args (_let_7)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_45 (MODUS_PONENS (AND_INTRO _let_47 _let_50 _let_46 _let_49) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (SYMM _let_50) :args _let_33) _let_48) (CONG (SYMM _let_49) _let_48 :args (APPLY_UF tptp.join)) :args (=)) (FALSE_INTRO _let_46))) :args (_let_12 _let_7 _let_39 _let_10)))) :args (_let_7 _let_39 _let_10 _let_12 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_44))) (TRUE_INTRO (SYMM (SYMM _let_45))))) :args (_let_13 _let_43)) :args ((not (and _let_7 _let_39 _let_10 _let_12 _let_13)) SB_LITERAL))) (CONG (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_8))) (REFL :args ((not _let_10))) (REFL :args ((not _let_12))) (REFL :args _let_44) :args _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_5 _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_29)) _let_30 :args (_let_13 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_41 :args (_let_12 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_ENUM)) :args _let_42)) _let_41 :args (_let_10 false _let_40)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_15 1)) _let_38 :args (_let_39 true _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG (REFL :args (_let_15)) (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_7))) :args _let_28)) :args ((or _let_7 _let_15))) _let_38 :args (_let_7 true _let_15)) :args (false false _let_13 false _let_12 false _let_10 true _let_8 false _let_7)) :args ((forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.join X0 X1) (tptp.join X1 X0))) (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.join X0 (tptp.join X1 X2)) (tptp.join (tptp.join X0 X1) X2))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.complement X0))) (= X0 (tptp.join (tptp.complement (tptp.join _let_1 (tptp.complement X1))) (tptp.complement (tptp.join _let_1 X1)))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.meet X0 X1) (tptp.complement (tptp.join (tptp.complement X0) (tptp.complement X1))))) (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.composition X0 (tptp.composition X1 X2)) (tptp.composition (tptp.composition X0 X1) X2))) (forall ((X0 $$unsorted)) (= (tptp.composition X0 tptp.one) X0)) (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.composition (tptp.join X0 X1) X2) (tptp.join (tptp.composition X0 X2) (tptp.composition X1 X2)))) _let_3 _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.converse (tptp.composition X0 X1)) (tptp.composition (tptp.converse X1) (tptp.converse X0)))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.complement X1))) (= (tptp.join (tptp.composition (tptp.converse X0) (tptp.complement (tptp.composition X0 X1))) _let_1) _let_1))) (forall ((X0 $$unsorted)) (= tptp.top (tptp.join X0 (tptp.complement X0)))) (forall ((X0 $$unsorted)) (= tptp.zero (tptp.meet X0 (tptp.complement X0)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.68/10.99  )
% 10.68/10.99  % SZS output end Proof for REL003+1
% 10.68/10.99  % cvc5---1.0.5 exiting
% 10.68/10.99  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------