TSTP Solution File: COM011-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COM011-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 : Wed Aug 30 18:36:57 EDT 2023

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : COM011-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n031.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   : Tue Aug 29 13:18:41 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Ujug4CJIn2/cvc5---1.0.5_9121.p...
% 0.21/0.52  ------- get file name : TPTP file name is COM011-2
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9121.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55  % SZS status Unsatisfiable for COM011-2
% 0.21/0.55  % SZS output start Proof for COM011-2
% 0.21/0.56  (
% 0.21/0.56  (let ((_let_1 (forall ((V_F $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.tc_UNITY_Oprogram T_a))) (or (not (tptp.c_in V_F (tptp.c_WFair_Otransient V_A T_a) _let_1)) (not (tptp.c_lessequals V_B V_A (tptp.tc_set T_a))) (tptp.c_in V_F (tptp.c_WFair_Otransient V_B T_a) _let_1)))))) (let ((_let_2 (forall ((V_F $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_UNITY_Oprogram T_a))) (or (not (tptp.c_in V_F (tptp.c_WFair_Oensures V_A V_B T_a) _let_1)) (tptp.c_in V_F (tptp.c_WFair_OleadsTo V_A V_B T_a) _let_1)))))) (let ((_let_3 (forall ((V_F $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_UNITY_Oprogram T_a))) (let ((_let_2 (tptp.c_minus V_A V_B (tptp.tc_set T_a)))) (or (not (tptp.c_in V_F (tptp.c_UNITY_Oconstrains _let_2 (tptp.c_union V_A V_B T_a) T_a) _let_1)) (not (tptp.c_in V_F (tptp.c_WFair_Otransient _let_2 T_a) _let_1)) (tptp.c_in V_F (tptp.c_WFair_Oensures V_A V_B T_a) _let_1))))))) (let ((_let_4 (forall ((V_F $$unsorted) (V_A $$unsorted) (V_A_H $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.tc_UNITY_Oprogram T_a))) (or (not (tptp.c_in V_F (tptp.c_UNITY_Oconstrains V_A V_A_H T_a) _let_1)) (not (tptp.c_lessequals V_B V_A (tptp.tc_set T_a))) (tptp.c_in V_F (tptp.c_UNITY_Oconstrains V_B V_A_H T_a) _let_1)))))) (let ((_let_5 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_B T_a)) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_6 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_7 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_minus V_A V_B (tptp.tc_set T_a)) T_a)) (tptp.c_in V_c V_A T_a))))) (let ((_let_8 (tptp.tc_UNITY_Oprogram tptp.t_a))) (let ((_let_9 (tptp.c_in tptp.v_F (tptp.c_WFair_OleadsTo tptp.v_A tptp.v_B tptp.t_a) _let_8))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.c_in tptp.v_F (tptp.c_WFair_Otransient tptp.v_A tptp.t_a) _let_8))) (let ((_let_12 (tptp.c_union tptp.v_A tptp.v_B tptp.t_a))) (let ((_let_13 (tptp.c_in tptp.v_F (tptp.c_UNITY_Oconstrains tptp.v_A _let_12 tptp.t_a) _let_8))) (let ((_let_14 (tptp.c_in tptp.v_F (tptp.c_WFair_Oensures tptp.v_A tptp.v_B tptp.t_a) _let_8))) (let ((_let_15 (tptp.tc_set tptp.t_a))) (let ((_let_16 (tptp.c_minus tptp.v_A tptp.v_B _let_15))) (let ((_let_17 (tptp.c_in tptp.v_F (tptp.c_WFair_Otransient _let_16 tptp.t_a) _let_8))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.c_in tptp.v_F (tptp.c_UNITY_Oconstrains _let_16 _let_12 tptp.t_a) _let_8))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_14))) (let ((_let_22 (not _let_14))) (let ((_let_23 (or _let_22 _let_9))) (let ((_let_24 (_let_2))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (_let_3))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (tptp.c_lessequals _let_16 tptp.v_A _let_15))) (let ((_let_29 (not _let_28))) (let ((_let_30 (not _let_13))) (let ((_let_31 (or _let_30 _let_29 _let_19))) (let ((_let_32 (_let_4))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (tptp.tc_UNITY_Oprogram T_a))) (let ((_let_35 (tptp.c_Main_OsubsetI__1 _let_16 tptp.v_A tptp.t_a))) (let ((_let_36 (tptp.c_in _let_35 _let_16 tptp.t_a))) (let ((_let_37 (or _let_36 _let_28))) (let ((_let_38 (tptp.c_in _let_35 tptp.v_A tptp.t_a))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_28))) (let ((_let_41 (not _let_36))) (let ((_let_42 (or _let_41 _let_38))) (let ((_let_43 (_let_6))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (_let_5))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (_let_7))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_38 _let_41 (not _let_42)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_35 tptp.v_A tptp.v_B tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_minus V_A V_B (tptp.tc_set T_a)) T_a) false))))) :args _let_47)) _let_48 :args (_let_42 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_28 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_16 tptp.v_A tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) :args _let_45)) _let_46 :args (_let_40 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_28 _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_16 tptp.v_A tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) :args _let_43)) _let_44 :args (_let_37 false _let_6)) :args (_let_28 false _let_42 true _let_38 false _let_40 false _let_36 false _let_37)))) (let ((_let_50 (not _let_11))) (let ((_let_51 (or _let_50 _let_29 _let_17))) (let ((_let_52 (_let_1))) (let ((_let_53 (ASSUME :args _let_52))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_14 _let_20 _let_18 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_17 _let_29 (not _let_51)))) (ASSUME :args (_let_11)) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.v_F tptp.v_A tptp.t_a _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_F (tptp.c_WFair_Otransient V_B T_a) (tptp.tc_UNITY_Oprogram T_a)) true)) (tptp.c_WFair_Otransient V_A T_a)))) :args _let_52)) _let_53 :args (_let_51 false _let_1)) :args (_let_17 false _let_11 false _let_28 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_19 _let_29 (not _let_31)))) (ASSUME :args (_let_13)) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.v_F tptp.v_A _let_12 tptp.t_a _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_F (tptp.c_UNITY_Oconstrains V_A V_A_H T_a) _let_34) false)) (not (= (tptp.c_in V_F (tptp.c_UNITY_Oconstrains V_B V_A_H T_a) _let_34) true))))) :args _let_32)) _let_33 :args (_let_31 false _let_4)) :args (_let_19 false _let_13 false _let_28 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.v_F tptp.v_A tptp.v_B tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_F (tptp.c_WFair_Oensures V_A V_B T_a) (tptp.tc_UNITY_Oprogram T_a)) true))))) :args _let_26)) _let_27 :args (_let_21 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_9 _let_22 (not _let_23)))) (ASSUME :args (_let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.v_F tptp.v_A tptp.v_B tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_F (tptp.c_WFair_OleadsTo V_A V_B T_a) (tptp.tc_UNITY_Oprogram T_a)) true))))) :args _let_24)) _let_25 :args (_let_23 false _let_2)) :args (_let_22 true _let_9 false _let_23)) :args (false false _let_17 false _let_19 false _let_21 true _let_14)) :args (_let_13 _let_11 _let_10 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.56  )
% 0.21/0.56  % SZS output end Proof for COM011-2
% 0.21/0.56  % cvc5---1.0.5 exiting
% 0.21/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------