TSTP Solution File: SWW679_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW679_1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 00:21:55 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 : SWW679_1 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n006.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 : Sun Aug 27 20:16:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_ARI
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.c3XKzmyLtl/cvc5---1.0.5_8283.p...
% 0.20/0.53 ------- get file name : TPTP file name is SWW679_1
% 0.20/0.53 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8283.smt2...
% 0.20/0.53 --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.53 % SZS status Theorem for SWW679_1
% 0.20/0.53 % SZS output start Proof for SWW679_1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (not (forall ((T |tptp.'Tree'|) (V Int)) (let ((_let_1 (|tptp.'val:(Tree)>Int'| T))) (let ((_let_2 (< V _let_1))) (let ((_let_3 (= V _let_1))) (let ((_let_4 (= T |tptp.'empty:Tree'|))) (=> (tptp.searchtree T) (and (=> _let_4 true) (=> (not _let_4) (and (=> _let_3 true) (=> (not _let_3) (and (=> _let_2 (exists ((T_1 |tptp.'Tree'|)) (and (= T_1 (|tptp.'left:(Tree)>Tree'| T)) (tptp.searchtree T_1)))) (=> (not _let_2) (exists ((T_2 |tptp.'Tree'|)) (and (= T_2 (|tptp.'right:(Tree)>Tree'| T)) (tptp.searchtree T_2)))))))))))))))))) (let ((_let_2 (forall ((T |tptp.'Tree'|)) (let ((_let_1 (= T |tptp.'empty:Tree'|))) (= (tptp.searchtree T) (and (=> _let_1 true) (=> (not _let_1) (and (tptp.searchtree (|tptp.'left:(Tree)>Tree'| T)) (tptp.searchtree (|tptp.'right:(Tree)>Tree'| T)) (forall ((V Int)) (=> (tptp.in V (|tptp.'left:(Tree)>Tree'| T)) (<= V (|tptp.'val:(Tree)>Int'| T)))) (forall ((V Int)) (=> (tptp.in V (|tptp.'right:(Tree)>Tree'| T)) (> V (|tptp.'val:(Tree)>Int'| T)))))))))))) (let ((_let_3 (tptp.searchtree (|tptp.'right:(Tree)>Tree'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_4 (|tptp.'val:(Tree)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) _let_4)) 0))) (let ((_let_6 (or (not _let_5) _let_3))) (let ((_let_7 (tptp.searchtree (|tptp.'left:(Tree)>Tree'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_8 (or _let_5 _let_7))) (let ((_let_9 (and _let_8 _let_6))) (let ((_let_10 (= |tptp.'empty:Tree'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (tptp.searchtree SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_4) _let_9))) (let ((_let_14 (forall ((T |tptp.'Tree'|) (V Int)) (let ((_let_1 (|tptp.'val:(Tree)>Int'| T))) (let ((_let_2 (>= (+ V (* (- 1) _let_1)) 0))) (or (not (tptp.searchtree T)) (= |tptp.'empty:Tree'| T) (= V _let_1) (and (or _let_2 (tptp.searchtree (|tptp.'left:(Tree)>Tree'| T))) (or (not _let_2) (tptp.searchtree (|tptp.'right:(Tree)>Tree'| T)))))))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (or))) (let ((_let_18 (not _let_14))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_16) :args (_let_18))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_14))) (REFL :args (_let_15)) :args _let_17)) _let_16 :args (_let_15 true _let_14)))) (let ((_let_20 (and _let_7 _let_3 (forall ((V Int)) (or (not (tptp.in V (|tptp.'left:(Tree)>Tree'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (>= (+ V (* (- 1) (|tptp.'val:(Tree)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) 1)))) (forall ((V Int)) (or (not (tptp.in V (|tptp.'right:(Tree)>Tree'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (>= (+ V (* (- 1) (|tptp.'val:(Tree)>Int'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) 1)))))) (let ((_let_21 (or _let_10 _let_20))) (let ((_let_22 (= _let_11 _let_21))) (let ((_let_23 (forall ((T |tptp.'Tree'|)) (= (tptp.searchtree T) (or (= |tptp.'empty:Tree'| T) (and (tptp.searchtree (|tptp.'left:(Tree)>Tree'| T)) (tptp.searchtree (|tptp.'right:(Tree)>Tree'| T)) (forall ((V Int)) (or (not (tptp.in V (|tptp.'left:(Tree)>Tree'| T))) (not (>= (+ V (* (- 1) (|tptp.'val:(Tree)>Int'| T))) 1)))) (forall ((V Int)) (or (not (tptp.in V (|tptp.'right:(Tree)>Tree'| T))) (>= (+ V (* (- 1) (|tptp.'val:(Tree)>Int'| T))) 1))))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_10 _let_20 (not _let_21)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 1)) _let_19 :args ((not _let_10) true _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_22)) :args ((or _let_12 _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG (REFL :args (_let_13)) (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_17)) :args ((or _let_11 _let_13))) _let_19 :args (_let_11 true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_23))) _let_24 :args (_let_22 false _let_23)) :args (_let_21 false _let_11 false _let_22)) :args (_let_20 true _let_10 false _let_21)))) (let ((_let_26 (not _let_20))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_9)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_6 1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 1)) :args ((or _let_3 _let_26))) _let_25 :args (_let_3 false _let_20)) :args (_let_6 false _let_3)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_8 1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 0)) :args ((or _let_7 _let_26))) _let_25 :args (_let_7 false _let_20)) :args (_let_8 false _let_7)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 3)) _let_19 :args ((not _let_9) true _let_13)) :args (false false _let_6 false _let_8 true _let_9)) :args ((forall ((X |tptp.'Tree'|)) (or (= X |tptp.'empty:Tree'|) (= X (|tptp.'node:(Int*Tree*Tree)>Tree'| (|tptp.'val:(Tree)>Int'| X) (|tptp.'left:(Tree)>Tree'| X) (|tptp.'right:(Tree)>Tree'| X))))) (forall ((X_1_0 Int) (X_1_1 |tptp.'Tree'|) (X_1_2 |tptp.'Tree'|)) (= (|tptp.'val:(Tree)>Int'| (|tptp.'node:(Int*Tree*Tree)>Tree'| X_1_0 X_1_1 X_1_2)) X_1_0)) (forall ((X_1_0 Int) (X_1_1 |tptp.'Tree'|) (X_1_2 |tptp.'Tree'|)) (= (|tptp.'left:(Tree)>Tree'| (|tptp.'node:(Int*Tree*Tree)>Tree'| X_1_0 X_1_1 X_1_2)) X_1_1)) (forall ((X_1_0 Int) (X_1_1 |tptp.'Tree'|) (X_1_2 |tptp.'Tree'|)) (= (|tptp.'right:(Tree)>Tree'| (|tptp.'node:(Int*Tree*Tree)>Tree'| X_1_0 X_1_1 X_1_2)) X_1_2)) (forall ((X_1_0 Int) (X_1_1 |tptp.'Tree'|) (X_1_2 |tptp.'Tree'|)) (not (= |tptp.'empty:Tree'| (|tptp.'node:(Int*Tree*Tree)>Tree'| X_1_0 X_1_1 X_1_2)))) (forall ((V Int) (T |tptp.'Tree'|)) (let ((_let_1 (= T |tptp.'empty:Tree'|))) (= (tptp.in V T) (and (=> _let_1 false) (=> (not _let_1) (or (= V (|tptp.'val:(Tree)>Int'| T)) (tptp.in V (|tptp.'left:(Tree)>Tree'| T)) (tptp.in V (|tptp.'right:(Tree)>Tree'| T)))))))) _let_2 _let_1 true)))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for SWW679_1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------