TSTP Solution File: NUM844+2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 10:48:24 EDT 2023

% Result   : Theorem 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Aug 25 08:06:17 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.fj3NKByHdd/cvc5---1.0.5_21939.p...
% 0.20/0.53  ------- get file name : TPTP file name is NUM844+2
% 0.20/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21939.smt2...
% 0.20/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Theorem for NUM844+2
% 0.20/0.53  % SZS output start Proof for NUM844+2
% 0.20/0.53  (
% 0.20/0.53  (let ((_let_1 (forall ((Vd78 $$unsorted) (Vd79 $$unsorted)) (= (tptp.vplus Vd79 Vd78) (tptp.vplus Vd78 Vd79))))) (let ((_let_2 (tptp.vsucc tptp.vd411))) (let ((_let_3 (tptp.vmul tptp.vd411 tptp.v1))) (let ((_let_4 (tptp.vsucc _let_3))) (let ((_let_5 (tptp.vmul tptp.vd411 tptp.vd413))) (let ((_let_6 (tptp.vplus _let_5 tptp.vd413))) (let ((_let_7 (tptp.vmul _let_2 tptp.vd413))) (let ((_let_8 (tptp.vplus _let_7 _let_2))) (let ((_let_9 (tptp.vplus _let_6 _let_2))) (let ((_let_10 (tptp.vplus tptp.vd413 _let_2))) (let ((_let_11 (tptp.vplus _let_5 _let_10))) (let ((_let_12 (tptp.vplus _let_2 tptp.vd413))) (let ((_let_13 (= _let_11 (tptp.vplus _let_5 _let_12)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (= _let_10 _let_12))) (let ((_let_16 (_let_1))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (_let_15))) (let ((_let_19 (ASSUME :args _let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_19 (SCOPE (CONG (REFL :args (_let_5)) (SYMM (SYMM _let_19)) :args (APPLY_UF tptp.vplus)) :args _let_18)) :args _let_18)) :args ((or _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_2 tptp.vd413 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.vplus Vd79 Vd78)))) :args _let_16)) _let_17 :args (_let_15 false _let_1)) (ASSUME :args (_let_14)) :args (false false _let_15 true _let_13)) :args (_let_14 (= _let_9 _let_11) (= _let_8 _let_9) (= (tptp.vmul _let_2 (tptp.vsucc tptp.vd413)) _let_8) (= _let_7 _let_6) (= _let_4 (tptp.vplus _let_3 tptp.v1)) (= _let_2 _let_4) (= (tptp.vmul _let_2 tptp.v1) _let_2) (forall ((Vd400 $$unsorted)) (= (tptp.vmul tptp.v1 Vd400) Vd400)) (forall ((Vd396 $$unsorted) (Vd397 $$unsorted)) (and (= (tptp.vmul Vd396 (tptp.vsucc Vd397)) (tptp.vplus (tptp.vmul Vd396 Vd397) Vd396)) (= (tptp.vmul Vd396 tptp.v1) Vd396))) (forall ((Vd386 $$unsorted) (Vd387 $$unsorted)) (=> (tptp.less Vd386 (tptp.vplus Vd387 tptp.v1)) (tptp.leq Vd386 Vd387))) (forall ((Vd375 $$unsorted) (Vd376 $$unsorted)) (=> (tptp.greater Vd375 Vd376) (tptp.geq Vd375 (tptp.vplus Vd376 tptp.v1)))) _let_1 (forall ((Vd68 $$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))))) (forall ((Vd16 $$unsorted)) (not (= (tptp.vsucc Vd16) Vd16))) (forall ((Vd7 $$unsorted) (Vd8 $$unsorted)) (=> (not (= Vd7 Vd8)) (not (= (tptp.vsucc Vd7) (tptp.vsucc Vd8))))) true))))))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for NUM844+2
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------