TSTP Solution File: SET825-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET825-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 14:40:30 EDT 2023
% Result : Unsatisfiable 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET825-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 10:55:32 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZOfBPhdaoI/cvc5---1.0.5_19456.p...
% 0.21/0.52 ------- get file name : TPTP file name is SET825-2
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19456.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Unsatisfiable for SET825-2
% 0.21/0.54 % SZS output start Proof for SET825-2
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.tc_nat tptp.tc_nat))) (or (tptp.c_in (tptp.c_Pair tptp.v_n tptp.v_m tptp.tc_nat tptp.tc_nat) V_U _let_1) (not (tptp.c_in (tptp.c_Pair (tptp.c_Suc (tptp.v_x V_U)) (tptp.c_Suc (tptp.v_xa V_U)) tptp.tc_nat tptp.tc_nat) V_U _let_1)) (not (tptp.c_in (tptp.c_Pair tptp.c_0 tptp.c_0 tptp.tc_nat tptp.tc_nat) V_U _let_1))))))) (let ((_let_2 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.tc_nat tptp.tc_nat))) (or (tptp.c_in (tptp.c_Pair tptp.v_n tptp.v_m tptp.tc_nat tptp.tc_nat) V_U _let_1) (tptp.c_in (tptp.c_Pair (tptp.v_x V_U) (tptp.v_xa V_U) tptp.tc_nat tptp.tc_nat) V_U _let_1) (not (tptp.c_in (tptp.c_Pair tptp.c_0 tptp.c_0 tptp.tc_nat tptp.tc_nat) V_U _let_1))))))) (let ((_let_3 (tptp.v_Q tptp.v_m))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.v_Q tptp.v_n))) (let ((_let_6 (forall ((V_a $$unsorted) (V_b $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) tptp.c_Relation_OId (tptp.tc_prod T_a T_a))) (= V_a V_b))))) (let ((_let_7 (forall ((V_a $$unsorted) (T_a $$unsorted)) (tptp.c_in (tptp.c_Pair V_a V_a T_a T_a) tptp.c_Relation_OId (tptp.tc_prod T_a T_a))))) (let ((_let_8 (tptp.tc_prod tptp.tc_nat tptp.tc_nat))) (let ((_let_9 (tptp.v_xa tptp.c_Relation_OId))) (let ((_let_10 (tptp.c_Suc _let_9))) (let ((_let_11 (tptp.c_in (tptp.c_Pair _let_10 _let_10 tptp.tc_nat tptp.tc_nat) tptp.c_Relation_OId _let_8))) (let ((_let_12 (_let_7))) (let ((_let_13 (ASSUME :args _let_12))) (let ((_let_14 (tptp.v_x tptp.c_Relation_OId))) (let ((_let_15 (= _let_14 _let_9))) (let ((_let_16 (tptp.c_in (tptp.c_Pair (tptp.c_Suc _let_14) _let_10 tptp.tc_nat tptp.tc_nat) tptp.c_Relation_OId _let_8))) (let ((_let_17 (not _let_11))) (let ((_let_18 (tptp.c_in (tptp.c_Pair _let_14 _let_9 tptp.tc_nat tptp.tc_nat) tptp.c_Relation_OId _let_8))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_15))) (let ((_let_21 (_let_6))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 ((tptp.c_Pair V_a V_b T_a T_a)))) (let ((_let_24 (tptp.c_in (tptp.c_Pair tptp.c_0 tptp.c_0 tptp.tc_nat tptp.tc_nat) tptp.c_Relation_OId _let_8))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.c_Pair tptp.v_n tptp.v_m tptp.tc_nat tptp.tc_nat))) (let ((_let_27 (tptp.c_in _let_26 tptp.c_Relation_OId _let_8))) (let ((_let_28 (or _let_27 _let_18 _let_25))) (let ((_let_29 (_let_2))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 ((tptp.c_Pair V_a V_a T_a T_a)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (tptp.c_0 tptp.tc_nat QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_12)) _let_13 :args (_let_24 false _let_7)))) (let ((_let_33 (= tptp.v_n tptp.v_m))) (let ((_let_34 (not _let_27))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (not _let_33))) (let ((_let_37 (ASSUME :args (_let_5)))) (let ((_let_38 (ASSUME :args (_let_4)))) (let ((_let_39 (not _let_5))) (let ((_let_40 (or))) (let ((_let_41 (ASSUME :args (_let_33)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_37 _let_41 _let_38) :args (_let_5 _let_4 _let_33)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_38)) (CONG (SYMM _let_41) :args (APPLY_UF tptp.v_Q)) (TRUE_INTRO _let_37))) :args (_let_5 _let_33 _let_4)) :args ((not (and _let_5 _let_4 _let_33)) SB_LITERAL))) (CONG (REFL :args (_let_39)) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args (_let_36)) :args _let_40)) :args ((or _let_3 _let_39 _let_36))) _let_38 _let_37 :args (_let_36 true _let_3 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.v_n tptp.v_m tptp.tc_nat QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_35 false _let_6)) :args (_let_34 true _let_33 false _let_35)))) (let ((_let_43 (not _let_16))) (let ((_let_44 (or _let_27 _let_43 _let_25))) (let ((_let_45 (_let_1))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (and _let_43 _let_15))) (let ((_let_48 (_let_43 _let_15))) (let ((_let_49 (ASSUME :args (_let_43)))) (let ((_let_50 (REFL :args (tptp.tc_nat)))) (let ((_let_51 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (_let_10 tptp.tc_nat QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_47)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_49 _let_51) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (CONG (SYMM _let_51) :args (APPLY_UF tptp.c_Suc)) (REFL :args (_let_10)) _let_50 _let_50 :args (APPLY_UF tptp.c_Pair)) (REFL :args (tptp.c_Relation_OId)) (REFL :args (_let_8)) :args (APPLY_UF tptp.c_in)) (FALSE_INTRO _let_49))) :args _let_48)) :args _let_48)) :args (true _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_16))) (REFL :args ((not _let_15))) (REFL :args (_let_17)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_27 _let_25 _let_43 (not _let_44)))) _let_42 _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.c_Relation_OId QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in _let_26 V_U _let_8) true))))) :args _let_45)) _let_46 :args (_let_44 false _let_1)) :args (_let_43 true _let_27 false _let_24 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_15 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_25 _let_18 (not _let_28)))) _let_42 _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.c_Relation_OId QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in _let_26 V_U _let_8) true))))) :args _let_29)) _let_30 :args (_let_28 false _let_2)) :args (_let_18 true _let_27 false _let_24 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_14 _let_9 tptp.tc_nat QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_21)) _let_22 :args (_let_20 false _let_6)) :args (_let_15 false _let_18 false _let_20)) :args (_let_17 true _let_16 false _let_15)) _let_13 :args (false true _let_11 false _let_7)) :args (_let_7 _let_6 _let_5 _let_4 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SET825-2
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------