TSTP Solution File: GRP152-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP152-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 00:24:50 EDT 2023
% Result : Unsatisfiable 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP152-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n020.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 20:50:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.y0M27Gch2b/cvc5---1.0.5_32049.p...
% 0.20/0.50 ------- get file name : TPTP file name is GRP152-1
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32049.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Unsatisfiable for GRP152-1
% 0.20/0.53 % SZS output start Proof for GRP152-1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (tptp.least_upper_bound tptp.a tptp.b))) (let ((_let_2 (tptp.least_upper_bound tptp.b _let_1))) (let ((_let_3 (not (= _let_2 _let_1)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_8 (= _let_1 _let_2))) (let ((_let_9 (tptp.least_upper_bound _let_1 tptp.b))) (let ((_let_10 (= _let_2 _let_9))) (let ((_let_11 (tptp.greatest_lower_bound tptp.b _let_2))) (let ((_let_12 (= tptp.b _let_11))) (let ((_let_13 (= _let_9 (tptp.least_upper_bound tptp.a (tptp.least_upper_bound tptp.b tptp.b))))) (let ((_let_14 (= tptp.b (tptp.least_upper_bound tptp.b _let_11)))) (let ((_let_15 (_let_7))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (_let_6))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (and _let_10 _let_12 _let_13 _let_14))) (let ((_let_24 (ASSUME :args (_let_10)))) (let ((_let_25 (ASSUME :args (_let_13)))) (let ((_let_26 (APPLY_UF tptp.least_upper_bound))) (let ((_let_27 (ASSUME :args (_let_12)))) (let ((_let_28 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_23)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_24 _let_25 _let_27 _let_28) (SCOPE (TRANS (CONG (REFL :args (tptp.a)) (TRANS (SYMM (SYMM _let_28)) (CONG (REFL :args (tptp.b)) (SYMM _let_27) :args _let_26)) :args _let_26) (SYMM _let_25) (SYMM _let_24)) :args (_let_10 _let_13 _let_12 _let_14))) :args (_let_10 _let_12 _let_13 _let_14))) :args (true _let_23)) :args ((or _let_8 (not _let_10) (not _let_12) (not _let_13) (not _let_14)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args (_let_21))) _let_22 :args (_let_14 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound (tptp.least_upper_bound X Y) Z)))) :args _let_19))) _let_20 :args (_let_13 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X Y)))) :args (_let_17))) _let_18 :args (_let_12 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X Y)))) :args _let_15)) _let_16 :args (_let_10 false _let_7)) (SYMM (ASSUME :args (_let_3))) :args (false false _let_14 false _let_13 false _let_12 false _let_10 true _let_8)) :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))) _let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))) _let_6 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_5 _let_4 (forall ((X $$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)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))) (forall ((Y $$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)))) (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_3)))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.54 % SZS output end Proof for GRP152-1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------