TSTP Solution File: KLE086+1 by cvc5---1.0.5

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE086+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : Thu Aug 31 05:27:13 EDT 2023

% Result   : Theorem 10.48s 10.81s
% Output   : Proof 10.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KLE086+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n010.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   : Tue Aug 29 10:51:48 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 10.48/10.81  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.9rcha4ceHg/cvc5---1.0.5_24685.p...
% 10.48/10.81  ------- get file name : TPTP file name is KLE086+1
% 10.48/10.81  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24685.smt2...
% 10.48/10.81  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.48/10.81  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.48/10.81  % SZS status Theorem for KLE086+1
% 10.48/10.81  % SZS output start Proof for KLE086+1
% 10.48/10.81  (
% 10.48/10.81  (let ((_let_1 (tptp.domain tptp.zero))) (let ((_let_2 (not (= _let_1 tptp.zero)))) (let ((_let_3 (forall ((X0 $$unsorted)) (= (tptp.domain X0) (tptp.antidomain (tptp.antidomain X0)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= (tptp.addition (tptp.antidomain _let_1) _let_1) tptp.one))))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.multiplication (tptp.antidomain X0) X0) tptp.zero)))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_9 (= tptp.zero _let_1))) (let ((_let_10 (= _let_1 (tptp.antidomain (tptp.antidomain tptp.zero))))) (let ((_let_11 (tptp.antidomain tptp.one))) (let ((_let_12 (tptp.multiplication _let_11 tptp.one))) (let ((_let_13 (= tptp.zero _let_12))) (let ((_let_14 (tptp.antidomain _let_11))) (let ((_let_15 (= tptp.one (tptp.addition _let_14 _let_11)))) (let ((_let_16 (= _let_11 _let_12))) (let ((_let_17 (= _let_14 (tptp.multiplication tptp.one _let_14)))) (let ((_let_18 (= _let_14 (tptp.addition _let_14 tptp.zero)))) (let ((_let_19 (_let_3))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (forall ((X0 $$unsorted)) (= tptp.zero (tptp.multiplication (tptp.antidomain X0) X0))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_24 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.antidomain X0))) (= tptp.one (tptp.addition (tptp.antidomain _let_1) _let_1)))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (_let_14 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_31 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (and _let_10 _let_13 _let_15 _let_16 _let_17 _let_18))) (let ((_let_34 (ASSUME :args (_let_10)))) (let ((_let_35 (APPLY_UF tptp.antidomain))) (let ((_let_36 (ASSUME :args (_let_13)))) (let ((_let_37 (ASSUME :args (_let_16)))) (let ((_let_38 (SYMM _let_37))) (let ((_let_39 (TRANS (SYMM _let_38) (SYMM _let_36)))) (let ((_let_40 (ASSUME :args (_let_17)))) (let ((_let_41 (ASSUME :args (_let_18)))) (let ((_let_42 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_33)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_41 _let_40 _let_37 _let_42 _let_36 _let_34) (SCOPE (TRANS _let_36 _let_38 (CONG (TRANS (SYMM (SYMM _let_42)) (CONG (REFL :args (_let_14)) _let_39 :args (APPLY_UF tptp.addition)) (SYMM _let_41) _let_40) :args _let_35) (CONG (TRANS (SYMM _let_40) (CONG _let_39 :args _let_35)) :args _let_35) (SYMM _let_34)) :args (_let_18 _let_17 _let_16 _let_15 _let_13 _let_10))) :args (_let_10 _let_13 _let_15 _let_16 _let_17 _let_18))) :args (true _let_33)) :args ((or _let_9 (not _let_10) (not _let_13) (not _let_15) (not _let_16) (not _let_17) (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args _let_30) :args (_let_31))) _let_32 :args (_let_18 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args _let_30) :args (_let_28))) _let_29 :args (_let_17 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_11 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_26))) _let_27 :args (_let_16 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args _let_23) :args (_let_24))) _let_25 :args (_let_15 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args _let_23) :args (_let_21))) _let_22 :args (_let_13 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_19)) _let_20 :args (_let_10 false _let_3)) (SYMM (ASSUME :args (_let_2))) :args (false false _let_18 false _let_17 false _let_16 false _let_15 false _let_13 false _let_10 true _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))) (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_8 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.antidomain (tptp.multiplication X0 (tptp.antidomain (tptp.antidomain X1)))))) (= (tptp.addition (tptp.antidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) _let_4 _let_3 (forall ((X0 $$unsorted)) (= (tptp.multiplication X0 (tptp.coantidomain X0)) tptp.zero)) (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.coantidomain (tptp.multiplication (tptp.coantidomain (tptp.coantidomain X0)) X1)))) (= (tptp.addition (tptp.coantidomain (tptp.multiplication X0 X1)) _let_1) _let_1))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.coantidomain X0))) (= (tptp.addition (tptp.coantidomain _let_1) _let_1) tptp.one))) (forall ((X0 $$unsorted)) (= (tptp.codomain X0) (tptp.coantidomain (tptp.coantidomain X0)))) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))
% 10.48/10.82  )
% 10.48/10.82  % SZS output end Proof for KLE086+1
% 10.48/10.82  % cvc5---1.0.5 exiting
% 10.48/10.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------