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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CSR027+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n028.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 Jun  3 08:11:15 AM UTC 2026

% Result   : Theorem 0.35s 1.15s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.40  % Problem  : CSR027+1 : TPTP v9.2.1. Released v3.4.0.
% 0.11/0.41  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.63  % Computer : n028.cluster.edu
% 0.16/0.63  % Model    : x86_64 x86_64
% 0.16/0.63  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.63  % Memory   : 8042.1875MB
% 0.16/0.63  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.63  % CPULimit : 300
% 0.16/0.63  % WCLimit  : 300
% 0.16/0.63  % DateTime : Mon Jun  1 20:38:09 EDT 2026
% 0.16/0.63  % CPUTime  : 
% 0.32/1.04  %----Proving TF0_NAR, FOF, or CNF
% 0.35/1.15  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.35/1.15  % SZS status Theorem
% 0.35/1.15  % SZS output start Proof
% 0.35/1.15  (
% 0.35/1.15  (declare-sort $$unsorted 0)
% 0.35/1.15  (declare-const tptp.thing (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.c_transitivebinarypredicate $$unsorted)
% 0.35/1.15  (declare-const tptp.natargument (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.n_1 $$unsorted)
% 0.35/1.15  (declare-const tptp.c_subcollectionofwithrelationfromtypefn $$unsorted)
% 0.35/1.15  (declare-const tptp.subevents (-> $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.directionoftranslation_throughout (-> $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.movement_translationevent (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.genls (-> $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.binarypredicate (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.genlpreds (-> $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.c_basekb $$unsorted)
% 0.35/1.15  (declare-const tptp.natfunction (-> $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.transitivebinarypredicate (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.c_genlmt $$unsorted)
% 0.35/1.15  (declare-const tptp.function_denotational (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.collection (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.genlmt (-> $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.c_calendarsmt $$unsorted)
% 0.35/1.15  (declare-const tptp.c_tptpcol_16_31868 $$unsorted)
% 0.35/1.15  (declare-const tptp.genlinverse (-> $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.resultisaarg (-> $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.tptpcol_16_31868 (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.f_subcollectionofwithrelationfromtypefn (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.35/1.15  (declare-const tptp.predicate (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.c_universalvocabularymt $$unsorted)
% 0.35/1.15  (declare-const tptp.c_relationallexistsfn $$unsorted)
% 0.35/1.15  (declare-const tptp.c_movement_translationevent $$unsorted)
% 0.35/1.15  (declare-const tptp.relationallexists (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.n_2 $$unsorted)
% 0.35/1.15  (declare-const tptp.c_tptp_spindlecollectormt $$unsorted)
% 0.35/1.15  (declare-const tptp.positiveinteger (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.n_4 $$unsorted)
% 0.35/1.15  (declare-const tptp.isa (-> $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.c_tptp_spindleheadmt $$unsorted)
% 0.35/1.15  (declare-const tptp.c_calendarsvocabularymt $$unsorted)
% 0.35/1.15  (declare-const tptp.tptpcol_4_24578 (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.tptp_8_875 (-> $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.c_cyclistsmt $$unsorted)
% 0.35/1.15  (declare-const tptp.c_tptp_member2610_mt $$unsorted)
% 0.35/1.15  (declare-const tptp.disjointwith (-> $$unsorted $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.n_3 $$unsorted)
% 0.35/1.15  (declare-const tptp.c_tptp_member3993_mt $$unsorted)
% 0.35/1.15  (declare-const tptp.c_directionoftranslation_throughout $$unsorted)
% 0.35/1.15  (declare-const tptp.microtheory (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.c_unitvectorinterval $$unsorted)
% 0.35/1.15  (declare-const tptp.c_tptp_8_875 $$unsorted)
% 0.35/1.15  (declare-const tptp.f_relationallexistsfn (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.35/1.15  (declare-const tptp.mtvisible (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.unitvectorinterval (-> $$unsorted Bool))
% 0.35/1.15  (declare-const tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 $$unsorted)
% 0.35/1.15  (declare-const tptp.subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent (-> $$unsorted Bool))
% 0.35/1.15  (define @t1 () (@var "DEPCOL" $$unsorted))
% 0.35/1.15  (define @t2 () (@var "INDEPCOL" $$unsorted))
% 0.35/1.15  (define @t3 () (@var "PRED" $$unsorted))
% 0.35/1.15  (define @t4 () (@var "TERM" $$unsorted))
% 0.35/1.15  (define @t5 () (tptp.isa (tptp.f_relationallexistsfn @t4 @t3 @t2 @t1) @t1))
% 0.35/1.15  (define @t6 () (tptp.relationallexists @t3 @t2 @t1))
% 0.35/1.15  (define @t7 () (tptp.isa @t4 @t2))
% 0.35/1.15  (define @t8 () (and @t7 @t6))
% 0.35/1.15  (define @t9 () (forall (@list @t4 @t2 @t3 @t1) (=> @t8 @t5)))
% 0.35/1.15  (define @t10 () (tptp.genlmt tptp.c_tptp_spindlecollectormt tptp.c_tptp_member2610_mt))
% 0.35/1.15  (define @t11 () (tptp.f_subcollectionofwithrelationfromtypefn tptp.c_unitvectorinterval tptp.c_directionoftranslation_throughout tptp.c_movement_translationevent))
% 0.35/1.15  (define @t12 () (tptp.tptp_8_875 @t4 (tptp.f_relationallexistsfn @t4 tptp.c_tptp_8_875 @t11 tptp.c_tptpcol_16_31868)))
% 0.35/1.15  (define @t13 () (tptp.isa @t4 @t11))
% 0.35/1.15  (define @t14 () (tptp.mtvisible tptp.c_tptp_member2610_mt))
% 0.35/1.15  (define @t15 () (and @t14 @t13))
% 0.35/1.15  (define @t16 () (@list @t4))
% 0.35/1.15  (define @t17 () (forall @t16 (=> @t15 @t12)))
% 0.35/1.15  (define @t18 () (tptp.relationallexists tptp.c_tptp_8_875 @t11 tptp.c_tptpcol_16_31868))
% 0.35/1.15  (define @t19 () (tptp.isa tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @t11))
% 0.35/1.15  (define @t20 () (@var "COL2" $$unsorted))
% 0.35/1.15  (define @t21 () (@var "COL1" $$unsorted))
% 0.35/1.15  (define @t22 () (@var "OBJ" $$unsorted))
% 0.35/1.15  (define @t23 () (@var "GENLPRED" $$unsorted))
% 0.35/1.15  (define @t24 () (@var "SPECPRED" $$unsorted))
% 0.35/1.15  (define @t25 () (@var "INS" $$unsorted))
% 0.35/1.15  (define @t26 () (tptp.predicate @t25))
% 0.35/1.15  (define @t27 () (@var "ARG1" $$unsorted))
% 0.35/1.15  (define @t28 () (@list @t27 @t25))
% 0.35/1.15  (define @t29 () (@var "ARG2" $$unsorted))
% 0.35/1.15  (define @t30 () (@list @t25 @t29))
% 0.35/1.15  (define @t31 () (@var "Z" $$unsorted))
% 0.35/1.15  (define @t32 () (@var "X" $$unsorted))
% 0.35/1.15  (define @t33 () (@var "Y" $$unsorted))
% 0.35/1.15  (define @t34 () (@list @t32 @t33 @t31))
% 0.35/1.15  (define @t35 () (@list @t32))
% 0.35/1.15  (define @t36 () (tptp.binarypredicate @t25))
% 0.35/1.15  (define @t37 () (@var "NEW" $$unsorted))
% 0.35/1.15  (define @t38 () (@var "OLD" $$unsorted))
% 0.35/1.15  (define @t39 () (@list @t38 @t29 @t37))
% 0.35/1.15  (define @t40 () (@list @t27 @t38 @t37))
% 0.35/1.15  (define @t41 () (tptp.collection @t25))
% 0.35/1.15  (define @t42 () (tptp.genls @t37 @t38))
% 0.35/1.15  (define @t43 () (tptp.tptpcol_16_31868 @t32))
% 0.35/1.15  (define @t44 () (tptp.isa @t32 tptp.c_tptpcol_16_31868))
% 0.35/1.15  (define @t45 () (forall @t35 (=> @t44 @t43)))
% 0.35/1.15  (define @t46 () (tptp.movement_translationevent @t32))
% 0.35/1.15  (define @t47 () (tptp.isa @t32 tptp.c_movement_translationevent))
% 0.35/1.15  (define @t48 () (tptp.unitvectorinterval @t32))
% 0.35/1.15  (define @t49 () (tptp.isa @t32 tptp.c_unitvectorinterval))
% 0.35/1.15  (define @t50 () (@var "ARG3" $$unsorted))
% 0.35/1.15  (define @t51 () (tptp.f_subcollectionofwithrelationfromtypefn @t27 @t29 @t50))
% 0.35/1.15  (define @t52 () (@list @t27 @t29 @t50))
% 0.35/1.15  (define @t53 () (tptp.subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @t32))
% 0.35/1.15  (define @t54 () (tptp.isa @t32 @t11))
% 0.35/1.15  (define @t55 () (tptp.transitivebinarypredicate @t32))
% 0.35/1.15  (define @t56 () (tptp.isa @t32 tptp.c_transitivebinarypredicate))
% 0.35/1.15  (define @t57 () (@var "GENLMT" $$unsorted))
% 0.35/1.15  (define @t58 () (tptp.mtvisible @t57))
% 0.35/1.15  (define @t59 () (@var "SPECMT" $$unsorted))
% 0.35/1.15  (define @t60 () (tptp.genlmt @t59 @t57))
% 0.35/1.15  (define @t61 () (tptp.mtvisible @t59))
% 0.35/1.15  (define @t62 () (and @t61 @t60))
% 0.35/1.15  (define @t63 () (forall (@list @t59 @t57) (=> @t62 @t58)))
% 0.35/1.15  (define @t64 () (tptp.microtheory @t25))
% 0.35/1.15  (define @t65 () (@var "ARG4" $$unsorted))
% 0.35/1.15  (define @t66 () (tptp.f_relationallexistsfn @t27 @t29 @t50 @t65))
% 0.35/1.15  (define @t67 () (@list @t27 @t29 @t50 @t65))
% 0.35/1.15  (define @t68 () (tptp.tptp_8_875 tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @t32))
% 0.35/1.15  (define @t69 () (and @t68 @t43))
% 0.35/1.15  (define @t70 () (tptp.mtvisible tptp.c_tptp_spindlecollectormt))
% 0.35/1.15  (define @t71 () (=> @t70 @t69))
% 0.35/1.15  (define @t72 () (exists @t35 @t71))
% 0.35/1.15  (define @t73 () (not @t72))
% 0.35/1.15  (define @t74 () (not @t6))
% 0.35/1.15  (define @t75 () (not @t7))
% 0.35/1.15  (define @t76 () (not @t60))
% 0.35/1.15  (define @t77 () (not @t61))
% 0.35/1.15  (define @t78 () (@var "BOUND_VARIABLE_7966" $$unsorted))
% 0.35/1.15  (define @t79 () (or (not @t68) (not @t43)))
% 0.35/1.15  (define @t80 () (forall @t35 @t79))
% 0.35/1.15  (define @t81 () (forall @t35 @t70))
% 0.35/1.15  (define @t82 () (and @t81 @t80))
% 0.35/1.15  (define @t83 () (forall @t35 (not @t71)))
% 0.35/1.15  (define @t84 () (not @t83))
% 0.35/1.15  (define @t85 () (not @t10))
% 0.35/1.15  (define @t86 () (not @t70))
% 0.35/1.15  (define @t87 () (or @t86 @t85 @t14))
% 0.35/1.15  (define @t88 () (@list false false false))
% 0.35/1.15  (define @t89 () (not @t14))
% 0.35/1.15  (define @t90 () (@list false))
% 0.35/1.15  (define @t91 () (@list @t14))
% 0.35/1.15  (define @t92 () (tptp.f_relationallexistsfn tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 tptp.c_tptp_8_875 @t11 tptp.c_tptpcol_16_31868))
% 0.35/1.15  (define @t93 () (tptp.isa @t92 tptp.c_tptpcol_16_31868))
% 0.35/1.15  (define @t94 () (not @t18))
% 0.35/1.15  (define @t95 () (not @t19))
% 0.35/1.15  (define @t96 () (or @t95 @t94 @t93))
% 0.35/1.15  (define @t97 () (@list @t92))
% 0.35/1.15  (define @t98 () (not @t13))
% 0.35/1.15  (define @t99 () (or @t98 @t12))
% 0.35/1.15  (define @t100 () (forall @t16 @t99))
% 0.35/1.15  (define @t101 () (or @t89 @t99))
% 0.35/1.15  (define @t102 () (or @t89 @t98 @t12))
% 0.35/1.15  (define @t103 () (tptp.tptp_8_875 tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @t92))
% 0.35/1.15  (define @t104 () (or @t95 @t103))
% 0.35/1.15  (define @t105 () (@list false false))
% 0.35/1.15  (define @t106 () (tptp.tptpcol_16_31868 @t92))
% 0.35/1.15  (define @t107 () (not @t106))
% 0.35/1.15  (define @t108 () (not @t103))
% 0.35/1.15  (define @t109 () (or @t108 @t107))
% 0.35/1.15  (define @t110 () (not @t93))
% 0.35/1.15  (define @t111 () (or @t110 @t106))
% 0.35/1.15  (define @t112 () (not @t111))
% 0.35/1.15  (define @t113 () (@list true false))
% 0.35/1.15  (define @t114 () (forall @t35 (or (not @t44) @t43)))
% 0.35/1.15  (assume @p1 @t9)
% 0.35/1.15  (assume @p2 (tptp.resultisaarg tptp.c_relationallexistsfn tptp.n_4))
% 0.35/1.15  (assume @p3 (tptp.genlmt tptp.c_calendarsmt tptp.c_calendarsvocabularymt))
% 0.35/1.15  (assume @p4 (tptp.transitivebinarypredicate tptp.c_genlmt))
% 0.35/1.15  (assume @p5 (tptp.genlmt tptp.c_basekb tptp.c_universalvocabularymt))
% 0.35/1.15  (assume @p6 (tptp.genlmt tptp.c_cyclistsmt tptp.c_calendarsmt))
% 0.35/1.15  (assume @p7 (tptp.genlmt tptp.c_calendarsvocabularymt tptp.c_basekb))
% 0.35/1.15  (assume @p8 (tptp.genlmt tptp.c_tptp_spindleheadmt tptp.c_cyclistsmt))
% 0.35/1.15  (assume @p9 @t10)
% 0.35/1.15  (assume @p10 (tptp.genlmt tptp.c_tptp_member3993_mt tptp.c_tptp_spindleheadmt))
% 0.35/1.15  (assume @p11 (tptp.genlmt tptp.c_tptp_spindlecollectormt tptp.c_tptp_member3993_mt))
% 0.35/1.15  (assume @p12 @t17)
% 0.35/1.15  (assume @p13 (=> @t14 @t18))
% 0.35/1.15  (assume @p14 @t19)
% 0.35/1.15  (assume @p15 (tptp.subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786))
% 0.35/1.15  (assume @p16 (forall (@list @t22 @t21 @t20) (not (and (tptp.isa @t22 @t21) (tptp.isa @t22 @t20) (tptp.disjointwith @t21 @t20)))))
% 0.35/1.15  (assume @p17 (forall (@list @t24 @t3 @t23) (=> (and (tptp.genlinverse @t24 @t3) (tptp.genlinverse @t3 @t23)) (tptp.genlpreds @t24 @t23))))
% 0.35/1.15  (assume @p18 (forall @t28 (=> (tptp.genlpreds @t27 @t25) @t26)))
% 0.35/1.15  (assume @p19 (forall @t30 (=> (tptp.genlpreds @t25 @t29) @t26)))
% 0.35/1.15  (assume @p20 (forall @t34 (=> (and (tptp.genlpreds @t32 @t33) (tptp.genlpreds @t33 @t31)) (tptp.genlpreds @t32 @t31))))
% 0.35/1.15  (assume @p21 (forall @t35 (=> (tptp.predicate @t32) (tptp.genlpreds @t32 @t32))))
% 0.35/1.15  (assume @p22 (forall @t28 (=> (tptp.genlinverse @t27 @t25) @t36)))
% 0.35/1.15  (assume @p23 (forall @t30 (=> (tptp.genlinverse @t25 @t29) @t36)))
% 0.35/1.15  (assume @p24 (forall @t39 (=> (and (tptp.genlinverse @t38 @t29) (tptp.genlpreds @t37 @t38)) (tptp.genlinverse @t37 @t29))))
% 0.35/1.15  (assume @p25 (forall @t40 (=> (and (tptp.genlinverse @t27 @t38) (tptp.genlpreds @t38 @t37)) (tptp.genlinverse @t27 @t37))))
% 0.35/1.15  (assume @p26 (forall @t28 (=> (tptp.disjointwith @t27 @t25) @t41)))
% 0.35/1.15  (assume @p27 (forall @t30 (=> (tptp.disjointwith @t25 @t29) @t41)))
% 0.35/1.15  (assume @p28 (forall (@list @t32 @t33) (=> (tptp.disjointwith @t32 @t33) (tptp.disjointwith @t33 @t32))))
% 0.35/1.15  (assume @p29 (forall @t40 (=> (and (tptp.disjointwith @t27 @t38) @t42) (tptp.disjointwith @t27 @t37))))
% 0.35/1.15  (assume @p30 (forall @t39 (=> (and (tptp.disjointwith @t38 @t29) @t42) (tptp.disjointwith @t37 @t29))))
% 0.35/1.15  (assume @p31 @t45)
% 0.35/1.15  (assume @p32 (forall @t35 (=> @t43 @t44)))
% 0.35/1.15  (assume @p33 (forall @t35 (=> @t47 @t46)))
% 0.35/1.15  (assume @p34 (forall @t35 (=> @t46 @t47)))
% 0.35/1.15  (assume @p35 (forall @t28 (=> (tptp.directionoftranslation_throughout @t27 @t25) (tptp.unitvectorinterval @t25))))
% 0.35/1.15  (assume @p36 (forall @t30 (=> (tptp.directionoftranslation_throughout @t25 @t29) (tptp.movement_translationevent @t25))))
% 0.35/1.15  (assume @p37 (forall @t39 (=> (and (tptp.directionoftranslation_throughout @t38 @t29) (tptp.subevents @t38 @t37)) (tptp.directionoftranslation_throughout @t37 @t29))))
% 0.35/1.15  (assume @p38 (forall @t35 (=> @t49 @t48)))
% 0.35/1.15  (assume @p39 (forall @t35 (=> @t48 @t49)))
% 0.35/1.15  (assume @p40 (forall @t52 (tptp.natfunction @t51 tptp.c_subcollectionofwithrelationfromtypefn)))
% 0.35/1.15  (assume @p41 (forall @t52 (tptp.natargument @t51 tptp.n_1 @t27)))
% 0.35/1.15  (assume @p42 (forall @t52 (tptp.natargument @t51 tptp.n_2 @t29)))
% 0.35/1.15  (assume @p43 (forall @t52 (tptp.natargument @t51 tptp.n_3 @t50)))
% 0.35/1.15  (assume @p44 (forall @t52 (tptp.collection @t51)))
% 0.35/1.15  (assume @p45 (forall @t35 (=> @t54 @t53)))
% 0.35/1.15  (assume @p46 (forall @t35 (=> @t53 @t54)))
% 0.35/1.15  (assume @p47 (forall @t28 (=> (tptp.tptp_8_875 @t27 @t25) (tptp.tptpcol_4_24578 @t25))))
% 0.35/1.15  (assume @p48 (forall @t30 (=> (tptp.tptp_8_875 @t25 @t29) (tptp.subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @t25))))
% 0.35/1.15  (assume @p49 (forall (@list @t27 @t29 @t25) (=> (tptp.relationallexists @t27 @t29 @t25) @t41)))
% 0.35/1.15  (assume @p50 (forall (@list @t27 @t25 @t50) (=> (tptp.relationallexists @t27 @t25 @t50) @t41)))
% 0.35/1.15  (assume @p51 (forall (@list @t25 @t29 @t50) (=> (tptp.relationallexists @t25 @t29 @t50) @t36)))
% 0.35/1.15  (assume @p52 (tptp.mtvisible tptp.c_basekb))
% 0.35/1.15  (assume @p53 (forall @t35 (=> @t56 @t55)))
% 0.35/1.15  (assume @p54 (forall @t35 (=> @t55 @t56)))
% 0.35/1.15  (assume @p55 (forall @t28 (=> (tptp.isa @t27 @t25) @t41)))
% 0.35/1.15  (assume @p56 (forall @t30 (=> (tptp.isa @t25 @t29) (tptp.thing @t25))))
% 0.35/1.15  (assume @p57 (forall @t40 (=> (and (tptp.isa @t27 @t38) (tptp.genls @t38 @t37)) (tptp.isa @t27 @t37))))
% 0.35/1.15  (assume @p58 @t63)
% 0.35/1.15  (assume @p59 (forall @t28 (=> (tptp.genlmt @t27 @t25) @t64)))
% 0.35/1.15  (assume @p60 (forall @t30 (=> (tptp.genlmt @t25 @t29) @t64)))
% 0.35/1.15  (assume @p61 (forall @t34 (=> (and (tptp.genlmt @t32 @t33) (tptp.genlmt @t33 @t31)) (tptp.genlmt @t32 @t31))))
% 0.35/1.15  (assume @p62 (forall @t35 (=> (tptp.microtheory @t32) (tptp.genlmt @t32 @t32))))
% 0.35/1.15  (assume @p63 (forall @t67 (tptp.natfunction @t66 tptp.c_relationallexistsfn)))
% 0.35/1.15  (assume @p64 (forall @t67 (tptp.natargument @t66 tptp.n_1 @t27)))
% 0.35/1.15  (assume @p65 (forall @t67 (tptp.natargument @t66 tptp.n_2 @t29)))
% 0.35/1.15  (assume @p66 (forall @t67 (tptp.natargument @t66 tptp.n_3 @t50)))
% 0.35/1.15  (assume @p67 (forall @t67 (tptp.natargument @t66 tptp.n_4 @t65)))
% 0.35/1.15  (assume @p68 (forall @t67 (tptp.thing @t66)))
% 0.35/1.15  (assume @p69 (forall @t28 (=> (tptp.resultisaarg @t27 @t25) (tptp.positiveinteger @t25))))
% 0.35/1.15  (assume @p70 (forall @t30 (=> (tptp.resultisaarg @t25 @t29) (tptp.function_denotational @t25))))
% 0.35/1.15  (assume @p71 (tptp.mtvisible tptp.c_universalvocabularymt))
% 0.35/1.15  (assume @p72 @t73)
% 0.35/1.15  (assume @p73 true)
% 0.35/1.15  (step @p74 :rule bool-impl-elim :args (@t44 @t43))
% 0.35/1.15  (step @p75 :rule cong :premises (@p74) :args (@t45))
% 0.35/1.15  (step @p76 :rule eq_resolve :premises (@p31 @p75))
% 0.35/1.15  (step @p77 :rule aci_norm :args ((= (or (or @t75 @t74) @t5) (or @t75 @t74 @t5))))
% 0.35/1.15  (step @p78 :rule refl :args (@t5))
% 0.35/1.15  (step @p79 :rule bool-and-de-morgan :args (@t7 @t6 true))
% 0.35/1.15  (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or (not @t8) @t5)))
% 0.35/1.15  (step @p81 :rule trans :premises (@p80 @p77))
% 0.35/1.15  (step @p82 :rule bool-impl-elim :args (@t8 @t5))
% 0.35/1.15  (step @p83 :rule trans :premises (@p82 @p81))
% 0.35/1.15  (step @p84 :rule cong :premises (@p83) :args (@t9))
% 0.35/1.15  (step @p85 :rule eq_resolve :premises (@p1 @p84))
% 0.35/1.15  (step @p86 :rule instantiate :premises (@p85) :args ((@list tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @t11 tptp.c_tptp_8_875 tptp.c_tptpcol_16_31868)))
% 0.35/1.15  (step @p87 :rule aci_norm :args ((= (or (or @t77 @t76) @t58) (or @t77 @t76 @t58))))
% 0.35/1.15  (step @p88 :rule refl :args (@t58))
% 0.35/1.15  (step @p89 :rule bool-and-de-morgan :args (@t61 @t60 true))
% 0.35/1.15  (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t62) @t58)))
% 0.35/1.15  (step @p91 :rule trans :premises (@p90 @p87))
% 0.35/1.15  (step @p92 :rule bool-impl-elim :args (@t62 @t58))
% 0.35/1.15  (step @p93 :rule trans :premises (@p92 @p91))
% 0.35/1.15  (step @p94 :rule cong :premises (@p93) :args (@t63))
% 0.35/1.15  (step @p95 :rule eq_resolve :premises (@p58 @p94))
% 0.35/1.15  (step @p96 :rule instantiate :premises (@p95) :args ((@list tptp.c_tptp_spindlecollectormt tptp.c_tptp_member2610_mt)))
% 0.35/1.15  (step @p97 :rule bool-double-not-elim :args ((and @t70 (forall (@list @t78) (or (not (tptp.tptp_8_875 tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @t78)) (not (tptp.tptpcol_16_31868 @t78)))))))
% 0.35/1.15  (step @p98 :rule alpha_equiv :args (@t80 (@list @t32) (@list @t78)))
% 0.35/1.15  (step @p99 :rule quant-unused-vars :args ((= @t81 @t70)))
% 0.35/1.15  (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t82))
% 0.35/1.15  (step @p101 :rule quant-miniscope-and :args ((= (forall @t35 (and @t70 @t79)) @t82)))
% 0.35/1.15  (step @p102 :rule trans :premises (@p101 @p100))
% 0.35/1.15  (step @p103 :rule bool-and-de-morgan :args (@t68 @t43 true))
% 0.35/1.15  (step @p104 :rule refl :args (@t70))
% 0.35/1.15  (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((and @t70 (not @t69))))
% 0.35/1.15  (step @p106 :rule bool-implies-de-morgan :args (@t70 @t69))
% 0.35/1.15  (step @p107 :rule trans :premises (@p106 @p105))
% 0.35/1.15  (step @p108 :rule cong :premises (@p107) :args (@t83))
% 0.35/1.15  (step @p109 :rule trans :premises (@p108 @p102))
% 0.35/1.15  (step @p110 :rule cong :premises (@p109) :args (@t84))
% 0.35/1.15  (step @p111 :rule exists-elim :args ((= @t72 @t84)))
% 0.35/1.15  (step @p112 :rule trans :premises (@p111 @p110))
% 0.35/1.15  (step @p113 :rule cong :premises (@p112) :args (@t73))
% 0.35/1.15  (step @p114 :rule trans :premises (@p113 @p97))
% 0.35/1.15  (step @p115 :rule eq_resolve :premises (@p72 @p114))
% 0.35/1.15  (step @p116 :rule and_elim :premises (@p115) :args (0))
% 0.35/1.15  (step @p117 :rule cnf_or_pos :args (@t87))
% 0.35/1.15  (step @p118 :rule reordering :premises (@p117) :args ((or @t14 @t85 @t86 (not @t87))))
% 0.35/1.15  (step @p119 :rule chain_m_resolution :premises (@p118 @p9 @p116 @p96) :args (@t14 @t88 (@list @t10 @t70 @t87)))
% 0.35/1.15  (step @p120 :rule implies_elim :premises (@p13))
% 0.35/1.15  (step @p121 :rule reordering :premises (@p120) :args ((or @t18 @t89)))
% 0.35/1.15  (step @p122 :rule chain_m_resolution :premises (@p121 @p119) :args (@t18 @t90 @t91))
% 0.35/1.15  (step @p123 :rule cnf_or_pos :args (@t96))
% 0.35/1.15  (step @p124 :rule reordering :premises (@p123) :args ((or @t94 @t95 @t93 (not @t96))))
% 0.35/1.15  (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p14 @p86) :args (@t93 @t88 (@list @t18 @t19 @t96)))
% 0.35/1.15  (step @p126 :rule and_elim :premises (@p115) :args (1))
% 0.35/1.15  (step @p127 :rule instantiate :premises (@p126) :args (@t97))
% 0.35/1.15  (step @p128 :rule quant-miniscope-or :args ((= (forall @t16 @t101) (or @t89 @t100))))
% 0.35/1.15  (step @p129 :rule aci_norm :args ((= @t102 @t101)))
% 0.35/1.15  (step @p130 :rule cong :premises (@p129) :args ((forall @t16 @t102)))
% 0.35/1.15  (step @p131 :rule trans :premises (@p130 @p128))
% 0.35/1.15  (step @p132 :rule aci_norm :args ((= (or (or @t89 @t98) @t12) @t102)))
% 0.35/1.15  (step @p133 :rule refl :args (@t12))
% 0.35/1.15  (step @p134 :rule bool-and-de-morgan :args (@t14 @t13 true))
% 0.35/1.15  (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t15) @t12)))
% 0.35/1.15  (step @p136 :rule trans :premises (@p135 @p132))
% 0.35/1.15  (step @p137 :rule bool-impl-elim :args (@t15 @t12))
% 0.35/1.15  (step @p138 :rule trans :premises (@p137 @p136))
% 0.35/1.15  (step @p139 :rule cong :premises (@p138) :args (@t17))
% 0.35/1.15  (step @p140 :rule trans :premises (@p139 @p131))
% 0.35/1.15  (step @p141 :rule eq_resolve :premises (@p12 @p140))
% 0.35/1.15  (step @p142 :rule chain_m_resolution :premises (@p141 @p119) :args (@t100 @t90 @t91))
% 0.35/1.15  (step @p143 :rule instantiate :premises (@p142) :args ((@list tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786)))
% 0.35/1.15  (step @p144 :rule cnf_or_pos :args (@t104))
% 0.35/1.15  (step @p145 :rule reordering :premises (@p144) :args ((or @t95 @t103 (not @t104))))
% 0.35/1.15  (step @p146 :rule chain_m_resolution :premises (@p145 @p14 @p143) :args (@t103 @t105 (@list @t19 @t104)))
% 0.35/1.15  (step @p147 :rule cnf_or_pos :args (@t109))
% 0.35/1.15  (step @p148 :rule reordering :premises (@p147) :args ((or @t108 @t107 (not @t109))))
% 0.35/1.15  (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p127) :args (@t107 @t105 (@list @t103 @t109)))
% 0.35/1.15  (step @p150 :rule cnf_or_pos :args (@t111))
% 0.35/1.15  (step @p151 :rule reordering :premises (@p150) :args ((or @t106 @t110 @t112)))
% 0.35/1.15  (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p125) :args (@t112 @t113 (@list @t106 @t93)))
% 0.35/1.15  (assume-push @p159 @t114)
% 0.35/1.15  (step @p154 :rule instantiate :premises (@p76) :args (@t97))
% 0.35/1.15  (step-pop @p160 :rule scope :premises (@p154))
% 0.35/1.15  (step @p155 :rule process_scope :premises (@p160) :args (@t111))
% 0.35/1.15  (step @p157 :rule implies_elim :premises (@p155))
% 0.35/1.15  (step @p158 false :rule chain_m_resolution :premises (@p157 @p152 @p76) :args (false @t113 (@list @t111 @t114)))
% 0.35/1.15  )
% 0.35/1.15  % SZS output end Proof
% 0.35/1.16  % cvc5 exiting
%------------------------------------------------------------------------------