0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : do_cvc5 %s %d 0.09/0.30 % Computer : n017.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Tue Aug 9 02:24:15 EDT 2022 0.14/0.30 % CPUTime : 0.14/0.40 %----Proving TF0_NAR, FOF, or CNF 11.48/11.69 ------- cvc5-fof casc J11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 11.48/11.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 11.48/11.69 --- Run --no-e-matching --full-saturate-quant at 5... 11.48/11.69 % SZS status Theorem for theBenchmark 11.48/11.69 % SZS output start Proof for theBenchmark 11.48/11.69 (let ((_let_1 (enc tmk pp))) (let ((_let_2 (p _let_1))) (let ((_let_3 (p a))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (p V) (p W) (p U)) (p (enc tc U)))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted)) (= V (enc U (enc (i U) V)))))) (let ((_let_6 (forall ((U $$unsorted)) (= (i (i U)) U)))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (p V) (p W) (p U)) (p (enc (enc (i tmk) V) (enc (i tc) U))))))) (let ((_let_8 (p (enc pp a)))) (let ((_let_9 (not _let_8))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (= V (enc (i U) (enc U V)))))) (let ((_let_11 (i tmk))) (let ((_let_12 (i _let_11))) (let ((_let_13 (= tmk _let_12))) (let ((_let_14 (enc tc a))) (let ((_let_15 (enc (i tc) _let_14))) (let ((_let_16 (= a _let_15))) (let ((_let_17 (= pp (enc _let_11 (enc _let_12 pp))))) (let ((_let_18 (p (enc (enc _let_11 _let_1) _let_15)))) (let ((_let_19 (ASSUME :args (_let_9)))) (let ((_let_20 (forall ((U $$unsorted)) (= U (i (i U)))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (_let_10))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (_let_5))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (not _let_2))) (let ((_let_27 (p _let_14))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_18))) (let ((_let_30 (forall ((U $$unsorted) (V $$unsorted)) (or (not (p U)) (not (p V)) (p (enc (enc (i tmk) V) (enc (i tc) U))))))) (let ((_let_31 (forall ((W $$unsorted)) (not (p W))))) (let ((_let_32 (forall ((W $$unsorted)) (not (p W))))) (let ((_let_33 (ASSUME :args (_let_3)))) (let ((_let_34 (_let_32))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_34)) _let_33 :args ((not _let_32) false _let_3)))) (let ((_let_36 (_let_30))) (let ((_let_37 (not _let_3))) (let ((_let_38 (or _let_37 _let_27))) (let ((_let_39 (forall ((U $$unsorted)) (or (not (p U)) (p (enc tc U)))))) (let ((_let_40 (forall ((W $$unsorted)) (not (p W))))) (let ((_let_41 (forall ((V $$unsorted)) (not (p V))))) (let ((_let_42 (_let_39))) (let ((_let_43 (ASSUME :args (_let_18)))) (let ((_let_44 (APPLY_UF enc))) (let ((_let_45 (ASSUME :args (_let_16)))) (let ((_let_46 (ASSUME :args (_let_13)))) (let ((_let_47 (ASSUME :args (_let_17)))) (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_43 _let_46 _let_47 _let_45 _let_19) :args (_let_9 _let_13 _let_16 _let_17 _let_18)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_19)) (CONG (CONG (TRANS (SYMM (SYMM _let_47)) (CONG (REFL :args (_let_11)) (CONG (SYMM _let_46) (REFL :args (pp)) :args _let_44) :args _let_44)) (SYMM (SYMM _let_45)) :args _let_44) :args (APPLY_UF p)) (TRUE_INTRO _let_43))) :args (_let_18 _let_13 _let_17 _let_16 _let_9)) :args ((not (and _let_9 _let_13 _let_16 _let_17 _let_18)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) (REFL :args ((not _let_13))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) (REFL :args ((not _let_18))) :args (OR))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_26 _let_28 _let_18 (not _let_29)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_27 (not _let_38)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_42) :args (a QUANTIFIERS_INST_ENUM)) :args _let_42)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_32 (= W V)))) _let_35 :args ((not _let_41) true _let_32)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_32 (= W W)))) _let_35 :args ((not _let_40) true _let_32)) :args (_let_39 true _let_41 true _let_40)) :args (_let_38 false _let_39)) :args (_let_27 false _let_3 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args (_let_14 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_36)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_32 (= W W)))) _let_35 :args ((not _let_31) true _let_32)) :args (_let_30 true _let_31)) :args (_let_29 false _let_30)) :args (_let_18 false _let_2 false _let_27 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_11 pp QUANTIFIERS_INST_CBQI_PROP)) :args _let_24)) _let_25 :args (_let_17 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tc a QUANTIFIERS_INST_ENUM)) :args _let_22)) _let_23 :args (_let_16 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tmk QUANTIFIERS_INST_ENUM)) :args (_let_20))) _let_21 :args (_let_13 false _let_20)) _let_19 :args (false false _let_18 false _let_17 false _let_16 false _let_13 true _let_8)) :args (_let_10 _let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (p U) (p W) (p V)) (p (enc (enc (i tc) U) V)))) (p (enc tc k)) (p (enc w t1)) _let_7 _let_6 (forall ((U $$unsorted)) (=> (p U) (p (i U)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (p W) (p V) (p U)) (p (enc wk (enc (i tmk) U))))) (p kk) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (p U) (p V) (p W)) (p (enc (i (enc (i tc) U)) V)))) _let_5 (p (enc lp t2)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (p W) (p V) (p U)) (p (enc (enc (i wk) V) (enc (i lp) U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (p W) (p V) (p U)) (p (enc tmk (enc (i (enc (i zcmk) V)) U))))) _let_4 _let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (i tmk))) (=> (and (p U) (p W) (p V)) (p (enc (enc _let_1 V) (enc _let_1 U)))))) (p (i kk)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (p V) (p W) (p U)) (p (enc (enc (i wk) W) (enc (i (enc (i tmk) V)) U))))) _let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (i wk))) (=> (and (p U) (p V) (p W)) (p (enc (enc _let_1 W) (enc (i (enc _let_1 V)) U)))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (p W) (p V) (p U)) (p (enc (i (enc (i zcmk) V)) (enc (i tmk) U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (p V) (p W) (p U)) (p (enc U V)))) (p (enc wk w)) true))))))))))))))))))))))))))))))))))))))))))))))))) 11.48/11.69 % SZS output end Proof for theBenchmark 11.48/11.69 EOF