TSTP Solution File: NUM848+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 10:48:26 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
% 0.00/0.14 % Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 12:52:24 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.AsgZAvBusV/cvc5---1.0.5_11287.p...
% 0.23/0.56 ------- get file name : TPTP file name is NUM848+2
% 0.23/0.56 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11287.smt2...
% 0.23/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.56 % SZS status Theorem for NUM848+2
% 0.23/0.56 % SZS output start Proof for NUM848+2
% 0.23/0.56 (
% 0.23/0.56 (let ((_let_1 (forall ((Vd396 $$unsorted) (Vd397 $$unsorted)) (and (= (tptp.vmul Vd396 (tptp.vsucc Vd397)) (tptp.vplus (tptp.vmul Vd396 Vd397) Vd396)) (= (tptp.vmul Vd396 tptp.v1) Vd396))))) (let ((_let_2 (tptp.vmul tptp.vd436 tptp.vd437))) (let ((_let_3 (tptp.vplus _let_2 tptp.vd436))) (let ((_let_4 (tptp.vmul tptp.vd436 tptp.vd439))) (let ((_let_5 (tptp.vplus _let_2 _let_4))) (let ((_let_6 (tptp.vplus tptp.vd437 tptp.vd439))) (let ((_let_7 (tptp.vmul tptp.vd436 _let_6))) (let ((_let_8 (tptp.vmul tptp.vd436 (tptp.vsucc _let_6)))) (let ((_let_9 (tptp.vsucc tptp.vd439))) (let ((_let_10 (tptp.vplus _let_7 tptp.vd436))) (let ((_let_11 (tptp.vplus _let_5 tptp.vd436))) (let ((_let_12 (tptp.vplus _let_4 tptp.vd436))) (let ((_let_13 (tptp.vplus _let_2 _let_12))) (let ((_let_14 (tptp.vmul tptp.vd436 _let_9))) (let ((_let_15 (= _let_13 (tptp.vplus _let_2 _let_14)))) (let ((_let_16 (not _let_15))) (let ((_let_17 (= _let_12 _let_14))) (let ((_let_18 (forall ((BOUND_VARIABLE_705 $$unsorted) (BOUND_VARIABLE_707 $$unsorted)) (= (tptp.vmul BOUND_VARIABLE_705 (tptp.vsucc BOUND_VARIABLE_707)) (tptp.vplus (tptp.vmul BOUND_VARIABLE_705 BOUND_VARIABLE_707) BOUND_VARIABLE_705))))) (let ((_let_19 (_let_18))) (let ((_let_20 (_let_17))) (let ((_let_21 (ASSUME :args _let_20))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_21 (SCOPE (CONG (REFL :args (_let_2)) (SYMM (SYMM _let_21)) :args (APPLY_UF tptp.vplus)) :args _let_20)) :args _let_20)) :args ((or _let_15 (not _let_17)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_19) :args (tptp.vd436 tptp.vd439 QUANTIFIERS_INST_E_MATCHING ((tptp.vmul BOUND_VARIABLE_705 (tptp.vsucc BOUND_VARIABLE_707))))) :args _let_19))) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (0)) :args (_let_17 false _let_18)) (ASSUME :args (_let_16)) :args (false false _let_17 true _let_15)) :args (_let_16 (= _let_11 _let_13) (= _let_10 _let_11) (= _let_8 _let_10) (= (tptp.vmul tptp.vd436 (tptp.vplus tptp.vd437 _let_9)) _let_8) (= _let_7 _let_5) (= _let_3 (tptp.vplus _let_2 (tptp.vmul tptp.vd436 tptp.v1))) (= (tptp.vmul tptp.vd436 (tptp.vsucc tptp.vd437)) _let_3) _let_1 (forall ((Vd386 $$unsorted) (Vd387 $$unsorted)) (=> (tptp.less Vd386 (tptp.vplus Vd387 tptp.v1)) (tptp.leq Vd386 Vd387))) (forall ((Vd78 $$unsorted) (Vd79 $$unsorted)) (= (tptp.vplus Vd79 Vd78) (tptp.vplus Vd78 Vd79))) (forall ((Vd68 $$unsorted) (Vd69 $$unsorted)) (= (tptp.vplus (tptp.vsucc Vd68) Vd69) (tptp.vsucc (tptp.vplus Vd68 Vd69)))) (forall ((Vd59 $$unsorted)) (= (tptp.vplus tptp.v1 Vd59) (tptp.vsucc Vd59))) (forall ((Vd46 $$unsorted) (Vd47 $$unsorted) (Vd48 $$unsorted)) (= (tptp.vplus (tptp.vplus Vd46 Vd47) Vd48) (tptp.vplus Vd46 (tptp.vplus Vd47 Vd48)))) (forall ((Vd42 $$unsorted) (Vd43 $$unsorted)) (and (= (tptp.vplus Vd42 (tptp.vsucc Vd43)) (tptp.vsucc (tptp.vplus Vd42 Vd43))) (= (tptp.vplus Vd42 tptp.v1) (tptp.vsucc Vd42)))) (forall ((Vd24 $$unsorted)) (=> (not (= Vd24 tptp.v1)) (= Vd24 (tptp.vsucc (tptp.vskolem2 Vd24))))) true))))))))))))))))))))))))
% 0.23/0.56 )
% 0.23/0.56 % SZS output end Proof for NUM848+2
% 0.23/0.56 % cvc5---1.0.5 exiting
% 0.23/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------