TSTP Solution File: SET968+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET968+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 14:41:11 EDT 2023
% Result : Theorem 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 : SET968+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 15:04:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ASn9fu6JyU/cvc5---1.0.5_14511.p...
% 0.20/0.53 ------- get file name : TPTP file name is SET968+1
% 0.20/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14511.smt2...
% 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Theorem for SET968+1
% 0.20/0.53 % SZS output start Proof for SET968+1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.set_union2 (tptp.set_union2 A B) C) (tptp.set_union2 A (tptp.set_union2 B C)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.cartesian_product2 (tptp.set_union2 A B) (tptp.set_union2 C D)) (tptp.set_union2 (tptp.set_union2 (tptp.set_union2 (tptp.cartesian_product2 A C) (tptp.cartesian_product2 A D)) (tptp.cartesian_product2 B C)) (tptp.cartesian_product2 B D)))))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.set_union2 A B))) (and (= (tptp.cartesian_product2 _let_1 C) (tptp.set_union2 (tptp.cartesian_product2 A C) (tptp.cartesian_product2 B C))) (= (tptp.cartesian_product2 C _let_1) (tptp.set_union2 (tptp.cartesian_product2 C A) (tptp.cartesian_product2 C B)))))))) (let ((_let_5 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_6 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_7 (tptp.set_union2 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_8 (tptp.set_union2 (tptp.set_union2 _let_7 _let_6) _let_5))) (let ((_let_9 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_10 (tptp.cartesian_product2 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_9))) (let ((_let_11 (= _let_10 _let_8))) (let ((_let_12 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_9))) (let ((_let_13 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9))) (let ((_let_14 (= _let_10 (tptp.set_union2 _let_13 _let_12)))) (let ((_let_15 (= _let_7 _let_13))) (let ((_let_16 (tptp.set_union2 _let_6 _let_5))) (let ((_let_17 (= _let_8 (tptp.set_union2 _let_7 _let_16)))) (let ((_let_18 (= _let_12 _let_16))) (let ((_let_19 (not _let_11))) (let ((_let_20 (_let_3))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (forall ((BOUND_VARIABLE_683 $$unsorted) (BOUND_VARIABLE_685 $$unsorted) (BOUND_VARIABLE_687 $$unsorted)) (= (tptp.cartesian_product2 (tptp.set_union2 BOUND_VARIABLE_683 BOUND_VARIABLE_685) BOUND_VARIABLE_687) (tptp.set_union2 (tptp.cartesian_product2 BOUND_VARIABLE_683 BOUND_VARIABLE_687) (tptp.cartesian_product2 BOUND_VARIABLE_685 BOUND_VARIABLE_687)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_22))) (let ((_let_25 (forall ((BOUND_VARIABLE_697 $$unsorted) (BOUND_VARIABLE_699 $$unsorted) (BOUND_VARIABLE_701 $$unsorted)) (= (tptp.cartesian_product2 BOUND_VARIABLE_701 (tptp.set_union2 BOUND_VARIABLE_697 BOUND_VARIABLE_699)) (tptp.set_union2 (tptp.cartesian_product2 BOUND_VARIABLE_701 BOUND_VARIABLE_697) (tptp.cartesian_product2 BOUND_VARIABLE_701 BOUND_VARIABLE_699)))))) (let ((_let_26 (AND_ELIM _let_23 :args (1)))) (let ((_let_27 (_let_25))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (_let_1))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (and _let_14 _let_15 _let_17 _let_18))) (let ((_let_32 (ASSUME :args (_let_17)))) (let ((_let_33 (APPLY_UF tptp.set_union2))) (let ((_let_34 (ASSUME :args (_let_18)))) (let ((_let_35 (ASSUME :args (_let_15)))) (let ((_let_36 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_31)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_32 _let_34 _let_35 _let_36) (SCOPE (TRANS (SYMM (SYMM _let_36)) (CONG (SYMM _let_35) (REFL :args (_let_12)) :args _let_33) (CONG (REFL :args (_let_7)) (SYMM (SYMM _let_34)) :args _let_33) (SYMM _let_32)) :args (_let_17 _let_18 _let_15 _let_14))) :args (_let_14 _let_15 _let_17 _let_18))) :args (true _let_31)) :args ((or _let_11 (not _let_14) (not _let_15) (not _let_17) (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((tptp.cartesian_product2 BOUND_VARIABLE_701 (tptp.set_union2 BOUND_VARIABLE_697 BOUND_VARIABLE_699))))) :args _let_27)) _let_26 :args (_let_18 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_7 _let_6 _let_5 QUANTIFIERS_INST_E_MATCHING ((tptp.set_union2 (tptp.set_union2 A B) C)))) :args _let_29)) _let_30 :args (_let_17 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.set_union2 (tptp.cartesian_product2 BOUND_VARIABLE_701 BOUND_VARIABLE_697) (tptp.cartesian_product2 BOUND_VARIABLE_701 BOUND_VARIABLE_699))))) :args _let_27))) _let_26 :args (_let_15 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_24) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_9 QUANTIFIERS_INST_E_MATCHING ((tptp.cartesian_product2 (tptp.set_union2 BOUND_VARIABLE_683 BOUND_VARIABLE_685) BOUND_VARIABLE_687)))) :args _let_24)) (AND_ELIM _let_23 :args (0)) :args (_let_14 false _let_22)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args _let_20)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args (_let_19)) :args (or))) _let_21 :args (_let_19 true _let_2)) :args (false false _let_18 false _let_17 false _let_15 false _let_14 true _let_11)) :args ((forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_4 _let_3 _let_1 true)))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for SET968+1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------