TSTP Solution File: RNG024-7 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG024-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 13:49:32 EDT 2023
% Result : Unsatisfiable 0.16s 0.49s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG024-7 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.12/0.35 % Computer : n026.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Sun Aug 27 02:32:04 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.16/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.46 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9Nf6dboAAU/cvc5---1.0.5_14163.p...
% 0.16/0.47 ------- get file name : TPTP file name is RNG024-7
% 0.16/0.47 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14163.smt2...
% 0.16/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.49 % SZS status Unsatisfiable for RNG024-7
% 0.16/0.49 % SZS output start Proof for RNG024-7
% 0.16/0.49 (
% 0.16/0.49 (let ((_let_1 (tptp.associator tptp.x tptp.y tptp.y))) (let ((_let_2 (not (= _let_1 tptp.additive_identity)))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.associator X Y Z) (tptp.add (tptp.multiply (tptp.multiply X Y) Z) (tptp.additive_inverse (tptp.multiply X (tptp.multiply Y Z)))))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Y) (tptp.multiply X (tptp.multiply Y Y)))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)))) (let ((_let_7 (= tptp.additive_identity _let_1))) (let ((_let_8 (tptp.multiply tptp.x (tptp.multiply tptp.y tptp.y)))) (let ((_let_9 (tptp.additive_inverse _let_8))) (let ((_let_10 (tptp.multiply (tptp.multiply tptp.x tptp.y) tptp.y))) (let ((_let_11 (tptp.add _let_10 _let_9))) (let ((_let_12 (= _let_1 _let_11))) (let ((_let_13 (= tptp.additive_identity (tptp.add _let_9 _let_8)))) (let ((_let_14 (= _let_11 (tptp.add _let_9 _let_10)))) (let ((_let_15 (= _let_10 _let_8))) (let ((_let_16 (_let_3))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (_let_5))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (_let_4))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (and _let_12 _let_13 _let_14 _let_15))) (let ((_let_25 (ASSUME :args (_let_12)))) (let ((_let_26 (ASSUME :args (_let_14)))) (let ((_let_27 (ASSUME :args (_let_15)))) (let ((_let_28 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_24)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_25 _let_26 _let_27 _let_28) (SCOPE (TRANS (SYMM (SYMM _let_28)) (CONG (REFL :args (_let_9)) (SYMM _let_27) :args (APPLY_UF tptp.add)) (SYMM _let_26) (SYMM _let_25)) :args (_let_12 _let_14 _let_15 _let_13))) :args (_let_12 _let_13 _let_14 _let_15))) :args (true _let_24)) :args ((or _let_7 (not _let_12) (not _let_13) (not _let_14) (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.x tptp.y QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.multiply X Y) Y)))) :args _let_22)) _let_23 :args (_let_15 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_10 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.add X Y)))) :args _let_20)) _let_21 :args (_let_14 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.additive_inverse X)))) :args (_let_18))) _let_19 :args (_let_13 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.x tptp.y tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.associator X Y Z)))) :args _let_16)) _let_17 :args (_let_12 false _let_3)) (SYMM (ASSUME :args (_let_2))) :args (false false _let_15 false _let_14 false _let_13 false _let_12 true _let_7)) :args ((forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)) (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)) (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)) _let_6 (forall ((X $$unsorted)) (= (tptp.add X (tptp.additive_inverse X)) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)) (forall ((X $$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 $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) _let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.add Y Z)) (tptp.add (tptp.add X Y) Z))) _let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X X) Y) (tptp.multiply X (tptp.multiply X Y)))) _let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.commutator X Y) (tptp.add (tptp.multiply Y X) (tptp.additive_inverse (tptp.multiply X Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) (tptp.additive_inverse Y)) (tptp.multiply X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y (tptp.additive_inverse Z))) (tptp.add (tptp.multiply X Y) (tptp.additive_inverse (tptp.multiply X Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X (tptp.additive_inverse Y)) Z) (tptp.add (tptp.multiply X Z) (tptp.additive_inverse (tptp.multiply Y Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) (tptp.add Y Z)) (tptp.add (tptp.additive_inverse (tptp.multiply X Y)) (tptp.additive_inverse (tptp.multiply X Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) (tptp.additive_inverse Z)) (tptp.add (tptp.additive_inverse (tptp.multiply X Z)) (tptp.additive_inverse (tptp.multiply Y Z))))) _let_2)))))))))))))))))))))))))))))))
% 0.16/0.49 )
% 0.16/0.49 % SZS output end Proof for RNG024-7
% 0.16/0.49 % cvc5---1.0.5 exiting
% 0.16/0.49 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------