TSTP Solution File: DAT022_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : DAT022_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 22:10:21 EDT 2023
% Result : Theorem 15.35s 15.64s
% Output : Proof 15.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : DAT022_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n010.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 : Thu Aug 24 14:28:50 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.47 %----Proving TF0_ARI
% 15.35/15.64 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fWkieILBEe/cvc5---1.0.5_26106.p...
% 15.35/15.64 ------- get file name : TPTP file name is DAT022_1
% 15.35/15.64 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26106.smt2...
% 15.35/15.64 --- Run --finite-model-find --decision=internal at 15...
% 15.35/15.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.35/15.64 % SZS status Theorem for DAT022_1
% 15.35/15.64 % SZS output start Proof for DAT022_1
% 15.35/15.64 (
% 15.35/15.64 (let ((_let_1 (not (forall ((U tptp.collection) (V tptp.collection)) (=> (and (forall ((W Int)) (=> (tptp.in W V) (> W 0))) (= U (tptp.add 2 (tptp.remove 7 V)))) (forall ((X Int)) (=> (tptp.in X U) (> X 0)))))))) (let ((_let_2 (forall ((X3 Int) (X4 tptp.collection) (X5 Int)) (= (and (tptp.in X3 X4) (not (= X3 X5))) (tptp.in X3 (tptp.remove X5 X4)))))) (let ((_let_3 (forall ((Z Int) (X1 tptp.collection) (X2 Int)) (= (or (tptp.in Z X1) (= Z X2)) (tptp.in Z (tptp.add X2 X1)))))) (let ((_let_4 (forall ((W Int)) (or (not (tptp.in W SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (>= W 1))))) (let ((_let_5 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 1))) (let ((_let_6 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (tptp.remove 7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.add 2 _let_9)))) (let ((_let_11 (not _let_10))) (let ((_let_12 (not _let_4))) (let ((_let_13 (or _let_12 _let_11 _let_5))) (let ((_let_14 (forall ((V tptp.collection) (BOUND_VARIABLE_674 Int)) (or (not (forall ((W Int)) (or (not (tptp.in W V)) (>= W 1)))) (not (tptp.in BOUND_VARIABLE_674 (tptp.add 2 (tptp.remove 7 V)))) (>= BOUND_VARIABLE_674 1))))) (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 (REFL :args (_let_13)))) (let ((_let_21 (not _let_8))) (let ((_let_22 (and _let_6 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 7))))) (let ((_let_23 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (_let_2))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 2))) (let ((_let_28 (or _let_23 _let_27))) (let ((_let_29 (= _let_10 _let_28))) (let ((_let_30 (_let_3))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (not _let_27))) (let ((_let_33 (not _let_5))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 2)) _let_19 :args (_let_33 true _let_13)))) (let ((_let_35 (_let_32))) (let ((_let_36 (_let_27))) (let ((_let_37 (ASSUME :args (_let_33)))) (let ((_let_38 (ASSUME :args _let_36))) (let ((_let_39 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in W SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_5 _let_7 _let_21))) _let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_6 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_24)) :args ((or (not _let_23) _let_22 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_23 _let_27 (not _let_28)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_38 _let_37) :args (_let_33 _let_27)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_38 :args _let_36) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_38 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_37 :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 1)))) :args ((- 1.0) 1.0)) :args (false)) :args _let_36) :args _let_35)) :args (_let_27 _let_33)) :args ((not (and _let_33 _let_27)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_5))) (REFL :args _let_35) :args _let_17)) _let_34 :args (_let_32 true _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_29)) :args ((or _let_11 _let_28 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 1)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_17)) :args ((or _let_10 _let_13))) _let_19 :args (_let_10 true _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9 2 QUANTIFIERS_INST_E_MATCHING ((tptp.in Z (tptp.add X2 X1))))) :args _let_30))) _let_31 :args (_let_29 false _let_3)) :args (_let_28 false _let_10 false _let_29)) :args (_let_23 true _let_27 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 7 QUANTIFIERS_INST_E_MATCHING ((tptp.in X3 (tptp.remove X5 X4))))) :args _let_25))) _let_26 :args (_let_24 false _let_2)) :args (_let_22 false _let_23 false _let_24)) :args (_let_6 false _let_22)) :args (_let_21 true _let_5 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_4))) :args _let_17)) :args ((or _let_4 _let_13))) _let_19 :args (_let_4 true _let_13)) :args (false true _let_8 false _let_4)) :args ((forall ((U Int)) (not (tptp.in U tptp.empty))) (forall ((V Int) (W tptp.collection)) (tptp.in V (tptp.add V W))) (forall ((X Int) (Y tptp.collection)) (not (tptp.in X (tptp.remove X Y)))) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))
% 15.35/15.65 )
% 15.35/15.65 % SZS output end Proof for DAT022_1
% 15.35/15.65 % cvc5---1.0.5 exiting
% 15.35/15.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------