TSTP Solution File: NUM906_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM906_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 10:48:45 EDT 2023
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM906_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n027.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 11:25:34 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_ARI
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.z8JAwsrFH4/cvc5---1.0.5_24683.p...
% 0.21/0.52 ------- get file name : TPTP file name is NUM906_1
% 0.21/0.52 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24683.smt2...
% 0.21/0.52 --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.52 % SZS status Theorem for NUM906_1
% 0.21/0.52 % SZS output start Proof for NUM906_1
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (not (forall ((X Real) (Y Real)) (= (<= X Y) (or (< X Y) (= X Y))))))) (let ((_let_2 (>= (+ (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) 0))) (let ((_let_3 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_4 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_5 (>= _let_4 0))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_3))) (let ((_let_8 (= _let_2 _let_7))) (let ((_let_9 (not _let_2))) (let ((_let_10 (or))) (let ((_let_11 (_let_7))) (let ((_let_12 (forall ((X Real) (Y Real)) (= (>= (+ (* (- 1) X) Y) 0) (or (not (>= (+ X (* (- 1) Y)) 0)) (= X Y)))))) (let ((_let_13 (not _let_8))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (not _let_12))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_14) :args (_let_15))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_12))) (REFL :args (_let_13)) :args _let_10)) _let_14 :args (_let_13 true _let_12)))) (let ((_let_17 (_let_8))) (let ((_let_18 (not _let_3))) (let ((_let_19 (_let_9))) (let ((_let_20 (<= _let_4 0.0))) (let ((_let_21 ((> _let_4 0.0)))) (let ((_let_22 (= _let_4 0.0))) (let ((_let_23 ((not _let_22)))) (let ((_let_24 (_let_18))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (ASSUME :args (_let_5)))) (let ((_let_27 (ASSUME :args (_let_2)))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_26 _let_25 _let_27) :args (_let_2 _let_5 _let_18)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_27 :args (_let_20)) (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_26 :args ((>= _let_4 0.0))) (MACRO_SR_PRED_TRANSFORM _let_25 :args _let_23) :args _let_21) :args ((not _let_20)))) :args (_let_5 _let_18 _let_2)) :args ((not (and _let_2 _let_5 _let_18)) SB_LITERAL))) (CONG (REFL :args _let_19) (REFL :args (_let_6)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_3))) :args _let_10)) :args ((or _let_6 _let_3 _let_9))) (REORDERING (CNF_EQUIV_NEG1 :args _let_17) :args ((or _let_2 _let_7 _let_8))) _let_16 (CNF_OR_NEG :args (_let_7 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_7 0)) (CONG (REFL :args _let_11) (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_10)) :args ((or _let_5 _let_7))) :args (_let_7 false _let_2 true _let_8 true _let_3 false _let_5)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_17) _let_16 _let_28 :args (_let_9 true _let_8 false _let_7)))) (let ((_let_30 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_31 (<= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_32 ((or _let_31 _let_30)))) (let ((_let_33 (not _let_30))) (let ((_let_34 (not _let_31))) (let ((_let_35 (false))) (let ((_let_36 (_let_22))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_3)) :args _let_36) :args _let_36) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_36) (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_19) :args _let_21) :args (1.0 (- 1.0))) :args _let_35) :args _let_36) :args _let_23)) :args (_let_3 _let_9))) (CONG (REFL :args _let_24) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_2))) :args _let_10)) :args ((or _let_2 _let_18))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args _let_11) :args ((or _let_6 _let_3 (not _let_7)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_34)) :args ((> SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_33)) :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) :args ((- 1.0) 1.0)) :args _let_35) :args (_let_34 _let_33))) :args _let_32) (REWRITE :args _let_32)) _let_29 :args (_let_5 true _let_2)) _let_28 :args (_let_3 false _let_5 false _let_7)) _let_29 :args (false false _let_3 true _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for NUM906_1
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------