TSTP Solution File: ARI574_1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI574_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 : Wed Aug 30 17:31:20 EDT 2023
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI574_1 : TPTP v8.1.2. Released v5.1.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n023.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 : Tue Aug 29 18:24:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_ARI
% 0.20/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.2BXNHvRxmt/cvc5---1.0.5_30800.p...
% 0.20/0.52 ------- get file name : TPTP file name is ARI574_1
% 0.20/0.52 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30800.smt2...
% 0.20/0.52 --- Run --finite-model-find --decision=internal at 15...
% 0.20/0.52 % SZS status Theorem for ARI574_1
% 0.20/0.52 % SZS output start Proof for ARI574_1
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (not (forall ((X Int) (Y Int)) (= (and (<= 7 (+ X Y)) (<= (+ X 5) (* 2 Y)) (<= Y 4)) (and (= X 3) (= Y 4))))))) (let ((_let_2 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_3 (>= _let_2 7))) (let ((_let_4 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_5 (>= _let_4 (- 4)))) (let ((_let_6 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 5))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 4))) (let ((_let_8 (not _let_6))) (let ((_let_9 (not _let_5))) (let ((_let_10 (and _let_3 _let_9 _let_8))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 3))) (let ((_let_12 (and _let_11 _let_7))) (let ((_let_13 (= _let_12 _let_10))) (let ((_let_14 (forall ((X Int) (Y Int)) (= (and (= X 3) (= Y 4)) (and (>= (+ X Y) 7) (not (>= (+ X (* (- 2) Y)) (- 4))) (not (>= Y 5))))))) (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 (_let_13))) (let ((_let_21 (not _let_12))) (let ((_let_22 (not _let_7))) (let ((_let_23 (_let_7))) (let ((_let_24 (_let_8))) (let ((_let_25 ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 5)))) (let ((_let_26 (_let_6))) (let ((_let_27 (false))) (let ((_let_28 (ASSUME :args _let_23))) (let ((_let_29 (not _let_11))) (let ((_let_30 (not _let_3))) (let ((_let_31 (ASSUME :args (_let_11)))) (let ((_let_32 (_let_30))) (let ((_let_33 (_let_5))) (let ((_let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_6))))) (let ((_let_35 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_5))))) (let ((_let_36 (REFL :args _let_32))) (let ((_let_37 (_let_10))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_37) (CONG (REFL :args _let_37) _let_36 _let_35 _let_34 :args _let_17)) :args ((or _let_5 _let_6 _let_10 _let_30))) (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_33) :args _let_33) _let_28 _let_31 :args ((- 1.0) (- 2.0) 1.0)) :args _let_27) :args (_let_7 _let_11 _let_5))) :args ((or _let_22 _let_29 _let_9))) :args ((or _let_9 _let_29 _let_22))) (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_32) :args ((< _let_2 7))) _let_28 _let_31 :args (1.0 (- 1.0) (- 1.0))) :args _let_27) :args (_let_7 _let_11 _let_30))) :args ((or _let_22 _let_29 _let_3))) :args ((or _let_3 _let_29 _let_22))) (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_28 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_26) _let_28 :args ((- 1.0) 1.0)) :args _let_27) :args _let_26) :args _let_25) :args _let_24) :args _let_23)) :args _let_23)) :args ((or _let_8 _let_22))) (REORDERING (CNF_AND_POS :args (_let_12 1)) :args ((or _let_7 _let_21))) (REORDERING (CNF_AND_POS :args (_let_12 0)) :args ((or _let_11 _let_21))) (REORDERING (CNF_EQUIV_NEG1 :args _let_20) :args ((or _let_12 _let_10 _let_13))) _let_19 :args (_let_10 true _let_5 false _let_3 true _let_6 false _let_7 false _let_11 false _let_12 true _let_13)))) (let ((_let_39 (not _let_10))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_10 0)) :args ((or _let_3 _let_39))) _let_38 :args (_let_3 false _let_10)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_10 1)) :args ((or _let_9 _let_39))) _let_38 :args (_let_9 false _let_10)))) (let ((_let_42 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 3))) (let ((_let_43 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 4))) (let ((_let_44 (not _let_42))) (let ((_let_45 (ASSUME :args (_let_3)))) (let ((_let_46 (_let_44))) (let ((_let_47 (not _let_43))) (let ((_let_48 (< _let_4 (- 4)))) (let ((_let_49 (_let_48))) (let ((_let_50 (ASSUME :args (_let_9)))) (let ((_let_51 (MACRO_SR_PRED_TRANSFORM _let_50 :args _let_49))) (let ((_let_52 (_let_43))) (let ((_let_53 (> SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 3))) (let ((_let_54 (ASSUME :args (_let_47)))) (let ((_let_55 (ASSUME :args (_let_42)))) (let ((_let_56 (ASSUME :args (_let_29)))) (let ((_let_57 (ASSUME :args (_let_22)))) (let ((_let_58 (ASSUME :args _let_24))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_58 _let_57 _let_45 _let_50) :args (_let_3 _let_9 _let_8 _let_22)) (SCOPE (CONTRA _let_51 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_49) _let_45 (INT_TIGHT_UB (ARITH_TRICHOTOMY (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_58 :args _let_25)) _let_57 :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 4)))) :args (1.0 (- 1.0) 3.0)) :args _let_27) :args _let_49) :args _let_33) :args ((not _let_48)))) :args (_let_8 _let_22 _let_3 _let_9)) :args ((not (and _let_3 _let_9 _let_8 _let_22)) SB_LITERAL))) (CONG _let_36 _let_35 _let_34 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_7))) :args _let_17)) :args ((or _let_7 _let_5 _let_6 _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_54 _let_56 _let_55) :args (_let_29 _let_42 _let_47)) (SCOPE (CONTRA (ARITH_TRICHOTOMY _let_56 _let_55 :args (_let_53)) (MACRO_SR_PRED_TRANSFORM (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_54 :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 4)))) :args ((not _let_53)))) :args (_let_47 _let_29 _let_42)) :args ((not (and _let_29 _let_42 _let_47)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_11))) (REFL :args _let_46) (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_43))) :args _let_17)) :args ((or _let_11 _let_43 _let_44))) (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_52) :args _let_52) (INT_TIGHT_UB _let_51) _let_28 :args ((- 1.0) 1.0 2.0)) :args _let_27) :args (_let_9 _let_7 _let_43))) :args ((or _let_5 _let_22 _let_47))) _let_41 (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_46) :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 3))) _let_45 _let_28 :args (1.0 (- 1.0) 1.0)) :args _let_27) :args (_let_3 _let_7 _let_44))) :args ((or _let_30 _let_22 _let_42))) :args ((or _let_22 _let_30 _let_42))) _let_40 (CNF_AND_NEG :args (_let_12)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_20) _let_19 _let_38 :args (_let_21 true _let_13 false _let_10)) :args (_let_22 true _let_43 true _let_5 false _let_42 false _let_3 true _let_11 true _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_10 2)) :args ((or _let_8 _let_39))) _let_38 :args (_let_8 false _let_10)) _let_41 _let_40 :args (false true _let_7 true _let_6 true _let_5 false _let_3)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for ARI574_1
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------