TSTP Solution File: GRP170-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP170-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 00:24:56 EDT 2023
% Result : Unsatisfiable 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GRP170-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.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 : Mon Aug 28 23:54:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.FQPbEmHpur/cvc5---1.0.5_16117.p...
% 0.21/0.50 ------- get file name : TPTP file name is GRP170-2
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16117.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Unsatisfiable for GRP170-2
% 0.21/0.53 % SZS output start Proof for GRP170-2
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (tptp.multiply tptp.a tptp.c))) (let ((_let_2 (tptp.multiply tptp.b tptp.d))) (let ((_let_3 (tptp.greatest_lower_bound _let_1 _let_2))) (let ((_let_4 (not (= _let_3 _let_1)))) (let ((_let_5 (tptp.greatest_lower_bound tptp.c tptp.d))) (let ((_let_6 (= _let_5 tptp.c))) (let ((_let_7 (tptp.greatest_lower_bound tptp.a tptp.b))) (let ((_let_8 (= _let_7 tptp.a))) (let ((_let_9 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))))) (let ((_let_13 (= tptp.a _let_7))) (let ((_let_14 (= tptp.c _let_5))) (let ((_let_15 (= _let_1 _let_3))) (let ((_let_16 (tptp.greatest_lower_bound tptp.d tptp.d))) (let ((_let_17 (tptp.greatest_lower_bound tptp.c _let_16))) (let ((_let_18 (= _let_17 (tptp.greatest_lower_bound _let_5 tptp.d)))) (let ((_let_19 (tptp.multiply tptp.b tptp.c))) (let ((_let_20 (tptp.greatest_lower_bound _let_1 _let_19))) (let ((_let_21 (= (tptp.multiply _let_7 tptp.c) _let_20))) (let ((_let_22 (= (tptp.greatest_lower_bound _let_1 (tptp.greatest_lower_bound _let_19 _let_2)) (tptp.greatest_lower_bound _let_20 _let_2)))) (let ((_let_23 (= tptp.d _let_16))) (let ((_let_24 (= (tptp.multiply tptp.b _let_17) (tptp.greatest_lower_bound _let_19 (tptp.multiply tptp.b _let_16))))) (let ((_let_25 (SYMM (ASSUME :args (_let_8))))) (let ((_let_26 (SYMM (ASSUME :args (_let_6))))) (let ((_let_27 (_let_12))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 ((tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z)))) (let ((_let_30 (_let_9))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (forall ((X $$unsorted)) (= X (tptp.greatest_lower_bound X X))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_10))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (and _let_13 _let_14 _let_18 _let_21 _let_22 _let_23 _let_24))) (let ((_let_37 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_38 (APPLY_UF tptp.multiply))) (let ((_let_39 (CONG (SYMM _let_25) (REFL :args (tptp.c)) :args _let_38))) (let ((_let_40 (ASSUME :args (_let_21)))) (let ((_let_41 (TRANS (SYMM _let_40) _let_39))) (let ((_let_42 (ASSUME :args (_let_22)))) (let ((_let_43 (ASSUME :args (_let_23)))) (let ((_let_44 (REFL :args (tptp.b)))) (let ((_let_45 (REFL :args (_let_19)))) (let ((_let_46 (ASSUME :args (_let_24)))) (let ((_let_47 (ASSUME :args (_let_18)))) (let ((_let_48 (SYMM (SYMM _let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_36)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_25 _let_40 _let_42 _let_43 _let_46 _let_47 _let_26) (SCOPE (TRANS (SYMM _let_39) _let_40 (CONG (SYMM _let_41) _let_45 :args _let_37) (CONG _let_41 (TRANS (CONG _let_44 (TRANS _let_48 (CONG _let_48 (REFL :args (tptp.d)) :args _let_37) (SYMM _let_47)) :args _let_38) (SYMM (SYMM _let_46)) (CONG _let_45 (CONG _let_44 (SYMM _let_43) :args _let_38) :args _let_37)) :args _let_37) (SYMM (SYMM _let_42)) (CONG _let_41 (REFL :args (_let_2)) :args _let_37)) :args (_let_13 _let_21 _let_22 _let_23 _let_24 _let_18 _let_14))) :args (_let_13 _let_14 _let_18 _let_21 _let_22 _let_23 _let_24))) :args (true _let_36)) :args ((or _let_15 (not _let_13) (not _let_14) (not _let_18) (not _let_21) (not _let_22) (not _let_23) (not _let_24)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.b tptp.c _let_16 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.greatest_lower_bound Y Z))))) :args _let_34)) _let_35 :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X X)))) :args (_let_32))) _let_33 :args (_let_23 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_1 _let_19 _let_2 QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_22 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.a tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.greatest_lower_bound Y Z) X)))) :args _let_30)) _let_31 :args (_let_21 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.c tptp.d tptp.d QUANTIFIERS_INST_E_MATCHING _let_29)) :args _let_27)) _let_28 :args (_let_18 false _let_12)) (SYMM (ASSUME :args (_let_4))) _let_26 _let_25 :args (false false _let_24 false _let_23 false _let_22 false _let_21 false _let_18 true _let_15 false _let_14 false _let_13)) :args ((forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))) _let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))) (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) _let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))) _let_10 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))) _let_9 _let_8 _let_6 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for GRP170-2
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------