TSTP Solution File: ARI616_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI616_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 17:31:30 EDT 2023
% Result : Theorem 0.23s 0.56s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : ARI616_1 : TPTP v8.1.2. Released v5.1.0.
% 0.11/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n013.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 18:08:32 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.50 %----Proving TF0_ARI
% 0.23/0.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.QRr8sLFFDB/cvc5---1.0.5_6394.p...
% 0.23/0.56 ------- get file name : TPTP file name is ARI616_1
% 0.23/0.56 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6394.smt2...
% 0.23/0.56 --- Run --finite-model-find --decision=internal at 15...
% 0.23/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.23/0.56 % SZS status Theorem for ARI616_1
% 0.23/0.56 % SZS output start Proof for ARI616_1
% 0.23/0.56 (
% 0.23/0.56 (let ((_let_1 (not (=> (forall ((X Int) (Y Int) (Z Int)) (= (and (<= (+ Y (- Z)) X) (<= X (+ Y Z))) (tptp.p X Y Z))) (forall ((Y1 Int) (Z1 Int) (Y2 Int) (Z2 Int)) (=> (exists ((X Int)) (and (tptp.p X Y1 Z1) (tptp.p X Y2 Z2))) (<= (+ Y1 (- Y2)) (+ Z1 Z2)))))))) (let ((_let_2 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_3 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_4 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_2) 1))) (let ((_let_5 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_3 _let_5))) (let ((_let_7 (>= _let_6 1))) (let ((_let_8 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5))) (let ((_let_9 (>= _let_8 0))) (let ((_let_10 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (not _let_12))) (let ((_let_14 (not _let_4))) (let ((_let_15 (or _let_14 _let_13 _let_11))) (let ((_let_16 (forall ((Y1 Int) (Z1 Int) (Y2 Int) (Z2 Int) (BOUND_VARIABLE_640 Int)) (or (not (>= (+ Y1 (* (- 1) Z1) (* (- 1) Y2) (* (- 1) Z2)) 1)) (not (tptp.p BOUND_VARIABLE_640 Y1 Z1)) (not (tptp.p BOUND_VARIABLE_640 Y2 Z2)))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (or))) (let ((_let_20 (not _let_16))) (let ((_let_21 (_let_20))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_21)) :args _let_21)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) (REFL :args (_let_17)) :args _let_19)) (NOT_IMPLIES_ELIM2 _let_18) :args (_let_17 true _let_16)))) (let ((_let_23 (REFL :args (_let_15)))) (let ((_let_24 (not _let_7))) (let ((_let_25 (and _let_24 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_5) 0)))) (let ((_let_26 (= _let_12 _let_25))) (let ((_let_27 (forall ((X Int) (Y Int) (Z Int)) (let ((_let_1 (* (- 1) Y))) (= (tptp.p X Y Z) (and (>= (+ X _let_1 Z) 0) (not (>= (+ X _let_1 (* (- 1) Z)) 1)))))))) (let ((_let_28 (NOT_IMPLIES_ELIM1 _let_18))) (let ((_let_29 (_let_27))) (let ((_let_30 ((tptp.p X Y Z)))) (let ((_let_31 (ASSUME :args _let_29))) (let ((_let_32 (and (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_2 _let_5) 1)) _let_9))) (let ((_let_33 (= _let_10 _let_32))) (let ((_let_34 ((not _let_9)))) (let ((_let_35 (_let_9))) (let ((_let_36 (ASSUME :args (_let_24)))) (let ((_let_37 (ASSUME :args (_let_4)))) (let ((_let_38 (ASSUME :args _let_35))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_36 _let_37 _let_38) :args (_let_4 _let_24 _let_9)) (SCOPE (CONTRA _let_38 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_38 _let_37 (MACRO_SR_PRED_TRANSFORM _let_36 :args ((< _let_6 1))) :args ((- 1.0) (- 1.0) 1.0)) :args (false)) :args _let_35) :args ((< _let_8 0))) :args _let_34)) :args (_let_24 _let_4 _let_9)) :args ((not (and _let_4 _let_24 _let_9)) SB_LITERAL))) (CONG (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_7))) (REFL :args _let_34) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 1)) :args ((or _let_9 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_33)) :args ((or _let_11 _let_32 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 2)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_19)) :args ((or _let_10 _let_15))) _let_22 :args (_let_10 true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29))) _let_28 :args (_let_33 false _let_27)) :args (_let_32 false _let_10 false _let_33)) :args (_let_9 false _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_25 0)) :args ((or _let_24 (not _let_25)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_26)) :args ((or _let_13 _let_25 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 1)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_19)) :args ((or _let_12 _let_15))) _let_22 :args (_let_12 true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29))) _let_28 :args (_let_26 false _let_27)) :args (_let_25 false _let_12 false _let_26)) :args (_let_24 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG _let_23 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_4))) :args _let_19)) :args ((or _let_4 _let_15))) _let_22 :args (_let_4 true _let_15)) :args (false false _let_9 true _let_7 false _let_4)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))
% 0.23/0.56 )
% 0.23/0.56 % SZS output end Proof for ARI616_1
% 0.23/0.56 % cvc5---1.0.5 exiting
% 0.23/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------