TSTP Solution File: SET838-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET838-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 14:40:36 EDT 2023
% Result : Unsatisfiable 0.18s 0.49s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET838-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 16:22:35 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.47 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.JbczGCKsbK/cvc5---1.0.5_18137.p...
% 0.18/0.47 ------- get file name : TPTP file name is SET838-2
% 0.18/0.48 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18137.smt2...
% 0.18/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.49 % SZS status Unsatisfiable for SET838-2
% 0.18/0.49 % SZS output start Proof for SET838-2
% 0.18/0.49 (
% 0.18/0.49 (let ((_let_1 (forall ((V_U $$unsorted)) (or (not (= (tptp.v_xa V_U) V_U)) (not (= (tptp.v_g (tptp.v_f V_U)) V_U)))))) (let ((_let_2 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.v_xa V_U))) (or (= (tptp.v_g (tptp.v_f _let_1)) _let_1) (not (= (tptp.v_g (tptp.v_f V_U)) V_U))))))) (let ((_let_3 (forall ((V_U $$unsorted)) (or (= V_U tptp.v_x) (not (= (tptp.v_f (tptp.v_g V_U)) V_U)))))) (let ((_let_4 (tptp.v_g tptp.v_x))) (let ((_let_5 (tptp.v_f _let_4))) (let ((_let_6 (= _let_5 tptp.v_x))) (let ((_let_7 (tptp.v_xa _let_4))) (let ((_let_8 (= _let_4 _let_7))) (let ((_let_9 (tptp.v_f _let_7))) (let ((_let_10 (tptp.v_g _let_9))) (let ((_let_11 (= _let_7 _let_10))) (let ((_let_12 (= tptp.v_x _let_9))) (let ((_let_13 (= _let_4 (tptp.v_g _let_5)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (not _let_8))) (let ((_let_16 (or _let_15 _let_14))) (let ((_let_17 (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_xa V_U))) (not (= V_U (tptp.v_g (tptp.v_f V_U)))))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (= tptp.v_x _let_5))) (let ((_let_20 (SYMM (ASSUME :args (_let_6))))) (let ((_let_21 (_let_19))) (let ((_let_22 (APPLY_UF tptp.v_g))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_20 (SCOPE (CONG (SYMM (SYMM _let_20)) :args _let_22) :args _let_21)) :args _let_21)) _let_20 :args (_let_13 false _let_19)))) (let ((_let_24 (or _let_11 _let_14))) (let ((_let_25 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.v_xa V_U))) (or (= _let_1 (tptp.v_g (tptp.v_f _let_1))) (not (= V_U (tptp.v_g (tptp.v_f V_U))))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_14 _let_11 (not _let_24)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_xa V_U)))) :args (_let_25))) _let_26 :args (_let_24 false _let_25)) :args (_let_11 false _let_13 false _let_24)))) (let ((_let_28 (= _let_9 (tptp.v_f _let_10)))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_12 _let_29))) (let ((_let_31 (forall ((V_U $$unsorted)) (or (= tptp.v_x V_U) (not (= V_U (tptp.v_f (tptp.v_g V_U)))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_11))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (SYMM _let_34))) (let ((_let_36 (and _let_11 _let_12))) (let ((_let_37 (_let_11 _let_12))) (let ((_let_38 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_36)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_34 _let_38) (SCOPE (TRANS (CONG (SYMM (SYMM _let_38)) :args _let_22) _let_35) :args _let_37)) :args _let_37)) :args (true _let_36)) :args ((or _let_8 (not _let_11) (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_12 _let_29 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_34 (SCOPE (CONG (SYMM _let_35) :args (APPLY_UF tptp.v_f)) :args _let_33)) :args _let_33)) _let_27 :args (_let_28 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_g V_U)))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_12 false _let_28 false _let_30)) _let_27 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_14 (not _let_16)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_f V_U)))) :args (_let_17))) _let_18 :args (_let_16 false _let_17)) :args (_let_15 false _let_13 false _let_16)) :args (false false _let_12 false _let_11 true _let_8)) :args (_let_6 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))
% 0.18/0.49 )
% 0.18/0.50 % SZS output end Proof for SET838-2
% 0.18/0.50 % cvc5---1.0.5 exiting
% 0.18/0.50 % cvc5---1.0.5 exiting
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