TSTP Solution File: SET820-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET820-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 14:40:28 EDT 2023
% Result : Unsatisfiable 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET820-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n020.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 08:46:59 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6DNVc8oVtN/cvc5---1.0.5_30711.p...
% 0.20/0.49 ------- get file name : TPTP file name is SET820-2
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30711.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Unsatisfiable for SET820-2
% 0.20/0.52 % SZS output start Proof for SET820-2
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (forall ((V_W $$unsorted) (V_U $$unsorted)) (or (not (tptp.c_in V_W V_U tptp.tc_IntDef_Oint)) (not (tptp.v_P (tptp.v_x V_U))))))) (let ((_let_2 (forall ((V_V $$unsorted) (V_U $$unsorted)) (or (not (tptp.c_in V_V V_U tptp.tc_IntDef_Oint)) (tptp.c_in (tptp.v_x V_U) V_U tptp.tc_IntDef_Oint))))) (let ((_let_3 (tptp.v_P tptp.v_a))) (let ((_let_4 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a)) (tptp.c_in V_a V_A T_a) (= V_a V_b))))) (let ((_let_5 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_insert V_x V_B T_a) T_a)))) (let ((_let_6 (forall ((V_a $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_a tptp.c_emptyset T_a))))) (let ((_let_7 (tptp.c_insert tptp.v_a tptp.c_emptyset tptp.tc_IntDef_Oint))) (let ((_let_8 (tptp.v_x _let_7))) (let ((_let_9 (tptp.c_in _let_8 tptp.c_emptyset tptp.tc_IntDef_Oint))) (let ((_let_10 (_let_6))) (let ((_let_11 (ASSUME :args _let_10))) (let ((_let_12 (= tptp.v_a _let_8))) (let ((_let_13 (tptp.c_in _let_8 _let_7 tptp.tc_IntDef_Oint))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_9 _let_12))) (let ((_let_16 (_let_4))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (tptp.v_P _let_8))) (let ((_let_19 (not _let_12))) (let ((_let_20 (not _let_18))) (let ((_let_21 (tptp.c_in tptp.v_a _let_7 tptp.tc_IntDef_Oint))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20))) (let ((_let_24 (_let_1))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (_let_5))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.v_a tptp.c_emptyset tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM)) :args _let_26)) _let_27 :args (_let_21 false _let_5)))) (let ((_let_29 (ASSUME :args (_let_3)))) (let ((_let_30 (ASSUME :args (_let_12)))) (let ((_let_31 (ASSUME :args (_let_20)))) (let ((_let_32 (or _let_22 _let_13))) (let ((_let_33 (_let_2))) (let ((_let_34 (ASSUME :args _let_33))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (_let_8 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_a tptp.c_emptyset T_a) false))))) :args _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_9 _let_12 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_22 _let_13 (not _let_32)))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.v_a _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_V V_U tptp.tc_IntDef_Oint) false))))) :args _let_33)) _let_34 :args (_let_32 false _let_2)) :args (_let_13 false _let_21 false _let_32)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_29 _let_30 _let_31) :args (_let_3 _let_20 _let_12)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_31)) (CONG (SYMM _let_30) :args (APPLY_UF tptp.v_P)) (TRUE_INTRO _let_29))) :args (_let_3 _let_12 _let_20)) :args ((not (and _let_3 _let_20 _let_12)) SB_LITERAL))) (CONG (REFL :args ((not _let_3))) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_18))) (REFL :args (_let_19)) :args (or))) _let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_20 (not _let_23)))) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.v_a _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_W V_U tptp.tc_IntDef_Oint) false))))) :args _let_24)) _let_25 :args (_let_23 false _let_1)) :args (_let_20 false _let_21 false _let_23)) :args (_let_19 false _let_3 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_8 tptp.v_a tptp.c_emptyset tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a) false))))) :args _let_16))) _let_17 :args (_let_15 false _let_4)) :args (_let_9 false _let_13 true _let_12 false _let_15)) _let_11 :args (false false _let_9 false _let_6)) :args (_let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))
% 0.20/0.52 )
% 0.20/0.52 % SZS output end Proof for SET820-2
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------