TSTP Solution File: SYN331+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN331+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 : Fri Sep 1 02:02:30 EDT 2023
% Result : Theorem 0.21s 0.58s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN331+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n029.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 : Sat Aug 26 19:03:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.58 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.w5S7Wd5ORx/cvc5---1.0.5_11105.p...
% 0.21/0.58 ------- get file name : TPTP file name is SYN331+1
% 0.21/0.58 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11105.smt2...
% 0.21/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58 % SZS status Theorem for SYN331+1
% 0.21/0.58 % SZS output start Proof for SYN331+1
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (not (exists ((X $$unsorted) (Y $$unsorted)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f Z Z))) (=> (tptp.big_f X Z) (=> (tptp.big_f Y Z) (=> (= (tptp.big_f X Y) _let_1) (=> (or (tptp.big_f Y X) _let_1) (or (tptp.big_f Z X) (tptp.big_f Z Y)))))))))))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_4 (not _let_3))) (let ((_let_5 (not _let_2))) (let ((_let_6 (and _let_5 _let_4))) (let ((_let_7 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 e_$$unsorted_2))) (let ((_let_8 (= _let_7 _let_5))) (let ((_let_9 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 e_$$unsorted_2))) (let ((_let_10 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (not (tptp.big_f e_$$unsorted_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_12 (and _let_11 _let_5))) (let ((_let_13 (not (tptp.big_f e_$$unsorted_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_14 (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_15 (or _let_14 _let_13 _let_8 _let_12 _let_10 _let_9))) (let ((_let_16 (forall ((Z $$unsorted)) (let ((_let_1 (not (tptp.big_f Z Z)))) (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Z)) (not (tptp.big_f e_$$unsorted_2 Z)) (= _let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 e_$$unsorted_2)) (and (not (tptp.big_f e_$$unsorted_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_1) (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.big_f Z e_$$unsorted_2)))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (not (tptp.big_f Z Z)))) (or (not (tptp.big_f X Z)) (not (tptp.big_f Y Z)) (= (tptp.big_f X Y) _let_1) (and (not (tptp.big_f Y X)) _let_1) (tptp.big_f Z X) (tptp.big_f Z Y)))))))) (let ((_let_19 (not _let_16))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (_let_18))) (let ((_let_22 (or))) (let ((_let_23 (_let_19))) (let ((_let_24 (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_25 (tptp.big_f e_$$unsorted_2 e_$$unsorted_2))) (let ((_let_26 (and (not _let_25) _let_24))) (let ((_let_27 (or _let_11 (= _let_25 _let_24) _let_26 _let_7))) (let ((_let_28 (forall ((Z $$unsorted)) (let ((_let_1 (not (tptp.big_f Z Z)))) (let ((_let_2 (tptp.big_f e_$$unsorted_2 e_$$unsorted_2))) (or (not (tptp.big_f e_$$unsorted_2 Z)) (= _let_1 _let_2) (and (not _let_2) _let_1) (tptp.big_f Z e_$$unsorted_2))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (not _let_28))) (let ((_let_31 (_let_30))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_8)) :args ((or _let_7 _let_5 _let_8))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 3)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_31)) :args _let_31) (REWRITE :args ((=> _let_30 (not (or _let_11 (= _let_24 _let_25) _let_26 _let_7))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))) (REFL :args (_let_29)) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (e_$$unsorted_2 e_$$unsorted_2 QUANTIFIERS_INST_ENUM)) :args _let_21))) _let_20 :args (_let_30 false _let_18)) :args (_let_29 true _let_28)) :args ((not _let_7) true _let_27)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_15 2)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_23)) :args _let_23) (REWRITE :args ((=> _let_19 (not (or _let_14 _let_13 (= _let_5 _let_7) _let_12 _let_10 _let_9))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_16))) (REFL :args (_let_17)) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 e_$$unsorted_2 QUANTIFIERS_INST_ENUM)) :args _let_21))) _let_20 :args (_let_19 false _let_18)) :args (_let_17 true _let_16)) :args ((not _let_8) true _let_15)) :args (_let_5 true _let_7 true _let_8)))) (let ((_let_33 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_34 (= _let_2 _let_4))) (let ((_let_35 (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)))) (let ((_let_36 (or _let_35 _let_34 _let_6 _let_33))) (let ((_let_37 (forall ((Z $$unsorted)) (let ((_let_1 (not (tptp.big_f Z Z)))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Z)) (= _let_1 _let_2) (and (not _let_2) _let_1) (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (not _let_37))) (let ((_let_40 (_let_39))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_40)) :args _let_40) (REWRITE :args ((=> _let_39 (not (or _let_35 (= _let_4 _let_2) _let_6 _let_33))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_37))) (REFL :args (_let_38)) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM)) :args _let_21))) _let_20 :args (_let_39 false _let_18)) :args (_let_38 true _let_37)))) (let ((_let_42 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_42) (CONG (REFL :args _let_42) (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_2))) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) :args _let_22)) :args ((or _let_2 _let_3 _let_6))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_34)) :args ((or _let_2 _let_4 _let_34))) _let_32 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 1)) _let_41 :args ((not _let_34) true _let_36)) :args (_let_4 true _let_2 true _let_34)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 2)) _let_41 :args ((not _let_6) true _let_36)) _let_32 :args (false true _let_3 true _let_6 true _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58 )
% 0.21/0.58 % SZS output end Proof for SYN331+1
% 0.21/0.58 % cvc5---1.0.5 exiting
% 0.21/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------