TSTP Solution File: RNG010-2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG010-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 13:49:28 EDT 2023
% Result : Unsatisfiable 0.19s 0.58s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG010-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.33 % Computer : n018.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sun Aug 27 01:50:15 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lXn6UeTA38/cvc5---1.0.5_13538.p...
% 0.19/0.49 ------- get file name : TPTP file name is RNG010-2
% 0.19/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13538.smt2...
% 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.58 % SZS status Unsatisfiable for RNG010-2
% 0.19/0.58 % SZS output start Proof for RNG010-2
% 0.19/0.58 (
% 0.19/0.58 (let ((_let_1 (tptp.associator tptp.cx tptp.cy tptp.cz))) (let ((_let_2 (tptp.multiply tptp.cx tptp.cx))) (let ((_let_3 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted)) (not (= (tptp.associator Y X Z) (tptp.additive_inverse (tptp.associator X Y Z))))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.associator X Y Z) (tptp.add (tptp.multiply (tptp.multiply X Y) Z) (tptp.additive_inverse (tptp.multiply X (tptp.multiply Y Z)))))))) (let ((_let_5 (tptp.additive_inverse tptp.additive_identity))) (let ((_let_6 (= _let_5 tptp.additive_identity))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X X) Y) (tptp.multiply X (tptp.multiply X Y)))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)))) (let ((_let_11 (= tptp.additive_identity _let_5))) (let ((_let_12 (tptp.multiply tptp.cy tptp.cz))) (let ((_let_13 (tptp.multiply tptp.cx (tptp.multiply tptp.cx _let_12)))) (let ((_let_14 (tptp.multiply _let_2 _let_12))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (tptp.additive_inverse _let_14))) (let ((_let_17 (= _let_16 (tptp.multiply _let_2 (tptp.additive_inverse _let_12))))) (let ((_let_18 (tptp.associator tptp.cx tptp.cx _let_12))) (let ((_let_19 (= _let_18 (tptp.add _let_14 (tptp.additive_inverse _let_13))))) (let ((_let_20 (tptp.additive_inverse _let_16))) (let ((_let_21 (= tptp.additive_identity (tptp.add _let_20 _let_16)))) (let ((_let_22 (= _let_14 _let_20))) (let ((_let_23 (= _let_18 (tptp.additive_inverse _let_18)))) (let ((_let_24 (SYMM (ASSUME :args (_let_6))))) (let ((_let_25 (_let_8))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (_let_7))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (_let_4))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (forall ((X $$unsorted)) (= X (tptp.additive_inverse (tptp.additive_inverse X)))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (_let_3))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (and _let_11 _let_15 _let_17 _let_19 _let_21 _let_22))) (let ((_let_38 (APPLY_UF tptp.additive_inverse))) (let ((_let_39 (ASSUME :args (_let_19)))) (let ((_let_40 (APPLY_UF tptp.add))) (let ((_let_41 (ASSUME :args (_let_15)))) (let ((_let_42 (ASSUME :args (_let_17)))) (let ((_let_43 (CONG (REFL :args (_let_14)) (TRANS (SYMM _let_42) (CONG (SYMM (SYMM _let_41)) :args _let_38)) :args _let_40))) (let ((_let_44 (ASSUME :args (_let_22)))) (let ((_let_45 (CONG (SYMM _let_44) _let_42 :args _let_40))) (let ((_let_46 (ASSUME :args (_let_21)))) (let ((_let_47 (SYMM _let_46))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_37)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_41 _let_42 _let_44 _let_46 _let_24) (SCOPE (TRANS _let_39 (SYMM _let_43) (SYMM _let_45) _let_47 (SYMM (SYMM _let_24)) (CONG (TRANS (SYMM _let_47) _let_45 _let_43 (SYMM _let_39)) :args _let_38)) :args (_let_19 _let_15 _let_17 _let_22 _let_21 _let_11))) :args (_let_11 _let_15 _let_17 _let_19 _let_21 _let_22))) :args (true _let_37)) :args ((or (not _let_11) (not _let_15) (not _let_17) (not _let_19) _let_23 (not _let_21) (not _let_22)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.cx tptp.cx _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.associator Y X Z)))) :args _let_35)) _let_36 :args ((not _let_23) false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.additive_inverse (tptp.additive_inverse X))))) :args (_let_33))) _let_34 :args (_let_22 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.additive_inverse X)))) :args (_let_31))) _let_32 :args (_let_21 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.cx tptp.cx _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.multiply X Y) Z)))) :args _let_29)) _let_30 :args (_let_19 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_2 _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.additive_inverse (tptp.multiply X Y))))) :args _let_27))) _let_28 :args (_let_17 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.cx _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.multiply X X) Y)))) :args _let_25)) _let_26 :args (_let_15 false _let_8)) _let_24 :args (false true _let_23 false _let_22 false _let_21 false _let_19 false _let_17 false _let_15 false _let_11)) :args ((forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)) (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)) _let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.additive_inverse (tptp.add X Y)) (tptp.add (tptp.additive_inverse X) (tptp.additive_inverse Y)))) _let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Y) (tptp.multiply X (tptp.multiply Y Y)))) _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) _let_7 _let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.add Y Z)) (tptp.add (tptp.add X Y) Z))) (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (or (not (= (tptp.add X Z) (tptp.add Y Z))) (= X Y))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.add Z X) (tptp.add Z Y))) (= X Y))) _let_4 (forall ((Y $$unsorted) (X $$unsorted)) (not (= (tptp.multiply (tptp.multiply Y X) Y) (tptp.multiply Y (tptp.multiply X Y))))) _let_3 (forall ((Z $$unsorted) (Y $$unsorted) (X $$unsorted)) (not (= (tptp.associator Z Y X) (tptp.additive_inverse (tptp.associator X Y Z))))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.multiply Z (tptp.multiply X (tptp.multiply Y X))) (tptp.multiply (tptp.multiply (tptp.multiply Z X) Y) X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X (tptp.multiply Y X)) Z) (tptp.multiply X (tptp.multiply Y (tptp.multiply X Z))))) (not (= (tptp.associator _let_2 tptp.cy tptp.cz) (tptp.add (tptp.multiply _let_1 tptp.cx) (tptp.multiply tptp.cx _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.58 )
% 0.19/0.58 % SZS output end Proof for RNG010-2
% 0.19/0.58 % cvc5---1.0.5 exiting
% 0.19/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------