TSTP Solution File: SET016-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET016-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 14:36:47 EDT 2023
% Result : Unsatisfiable 0.18s 0.47s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.10/0.32 % Computer : n016.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat Aug 26 13:36:57 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.18/0.44 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.44 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.cgo7ZAI6pM/cvc5---1.0.5_3026.p...
% 0.18/0.44 ------- get file name : TPTP file name is SET016-1
% 0.18/0.45 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3026.smt2...
% 0.18/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.47 % SZS status Unsatisfiable for SET016-1
% 0.18/0.47 % SZS output start Proof for SET016-1
% 0.18/0.47 (
% 0.18/0.47 (let ((_let_1 (= tptp.m1 tptp.m2))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.ordered_pair tptp.m2 tptp.r2))) (let ((_let_4 (tptp.ordered_pair tptp.m1 tptp.r1))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ordered_pair X Y) (tptp.unordered_pair (tptp.singleton_set X) (tptp.unordered_pair X Y)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member X (tptp.unordered_pair Y Z))) (= X Y) (= X Z))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member X (tptp.unordered_pair X Y))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X (tptp.singleton_set Y))) (= X Y))))) (let ((_let_10 (forall ((X $$unsorted)) (tptp.member X (tptp.singleton_set X))))) (let ((_let_11 (tptp.singleton_set tptp.m1))) (let ((_let_12 (tptp.member tptp.m1 _let_11))) (let ((_let_13 (tptp.singleton_set tptp.m2))) (let ((_let_14 (tptp.member tptp.m1 _let_13))) (let ((_let_15 (= _let_11 _let_13))) (let ((_let_16 (_let_10))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not _let_14))) (let ((_let_19 (or _let_18 _let_1))) (let ((_let_20 (_let_9))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_1 _let_18 (not _let_19)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.m1 tptp.m2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member X (tptp.singleton_set Y)) false))))) :args _let_20)) _let_21 :args (_let_19 false _let_9)) :args (_let_18 true _let_1 false _let_19)))) (let ((_let_23 (tptp.unordered_pair tptp.m1 tptp.r1))) (let ((_let_24 (= _let_23 _let_13))) (let ((_let_25 (tptp.unordered_pair _let_11 _let_23))) (let ((_let_26 (tptp.member _let_13 _let_25))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_15 _let_24))) (let ((_let_29 (_let_7))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (tptp.member tptp.m1 _let_23))) (let ((_let_32 (not _let_24))) (let ((_let_33 (_let_8))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 ((tptp.unordered_pair X Y)))) (let ((_let_36 (or))) (let ((_let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_14))))) (let ((_let_38 (APPLY_UF tptp.member))) (let ((_let_39 (REFL :args (tptp.m1)))) (let ((_let_40 (SYMM (FALSE_INTRO (ASSUME :args (_let_18)))))) (let ((_let_41 (tptp.unordered_pair tptp.m2 tptp.r2))) (let ((_let_42 (tptp.unordered_pair _let_13 _let_41))) (let ((_let_43 (tptp.member _let_13 _let_42))) (let ((_let_44 (= _let_3 _let_42))) (let ((_let_45 (= _let_4 _let_25))) (let ((_let_46 (_let_6))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 ((tptp.ordered_pair X Y)))) (let ((_let_49 (ASSUME :args (_let_5)))) (let ((_let_50 (and _let_5 _let_45 _let_44 _let_43))) (let ((_let_51 (ASSUME :args (_let_43)))) (let ((_let_52 (ASSUME :args (_let_44)))) (let ((_let_53 (ASSUME :args (_let_45)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_40 (CONG _let_39 (SYMM (ASSUME :args (_let_15))) :args _let_38) (TRUE_INTRO (ASSUME :args (_let_12))))) :args (_let_12 _let_15 _let_18))) (CONG (REFL :args ((not _let_12))) (REFL :args ((not _let_15))) _let_37 :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_15 _let_27 _let_24 (not _let_28)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_51 _let_52 _let_49 _let_53) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_13)) (TRANS (SYMM _let_53) (SYMM (SYMM _let_49)) (SYMM (SYMM _let_52))) :args _let_38) (TRUE_INTRO _let_51))) :args (_let_43 _let_44 _let_5 _let_45))) :args (_let_5 _let_45 _let_44 _let_43))) :args (true _let_50)) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.m1 tptp.r1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_46)) _let_47 :args (_let_45 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.m2 tptp.r2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_46)) _let_47 :args (_let_44 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_13 _let_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33)) _let_34 :args (_let_43 false _let_8)) :args (_let_26 false _let_5 false _let_45 false _let_44 false _let_43)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_40 (CONG _let_39 (SYMM (ASSUME :args (_let_24))) :args _let_38) (TRUE_INTRO (ASSUME :args (_let_31))))) :args (_let_31 _let_24 _let_18))) (CONG (REFL :args ((not _let_31))) (REFL :args (_let_32)) _let_37 :args _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.m1 tptp.r1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_35)) :args _let_33)) _let_34 :args (_let_31 false _let_8)) _let_22 :args (_let_32 false _let_31 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_13 _let_11 _let_23 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member X (tptp.unordered_pair Y Z)) false))))) :args _let_29))) _let_30 :args (_let_28 false _let_7)) :args (_let_15 false _let_26 true _let_24 false _let_28)) _let_22 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.m1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.singleton_set X)))) :args _let_16)) _let_17 :args (_let_12 false _let_10)) :args (false false _let_15 true _let_14 false _let_12)) :args (_let_10 _let_9 _let_8 (forall ((Y $$unsorted) (X $$unsorted)) (tptp.member Y (tptp.unordered_pair X Y))) _let_7 _let_6 _let_5 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.47 )
% 0.18/0.47 % SZS output end Proof for SET016-1
% 0.18/0.48 % cvc5---1.0.5 exiting
% 0.18/0.48 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------