%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR027-10 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 : Unsatisfiable 0.36s 1.24s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.44 % Problem : CSR027-10 : TPTP v9.2.1. Released v7.3.0. % 0.11/0.45 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.69 % Computer : n026.cluster.edu % 0.18/0.69 % Model : x86_64 x86_64 % 0.18/0.69 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.69 % Memory : 8042.1875MB % 0.18/0.69 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.69 % CPULimit : 300 % 0.18/0.69 % WCLimit : 300 % 0.18/0.69 % DateTime : Mon Jun 1 20:38:14 EDT 2026 % 0.18/0.69 % CPUTime : % 0.31/1.09 %----Proving TF0_NAR, FOF, or CNF % 0.31/1.11 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/1.24 % SZS status Unsatisfiable % 0.36/1.24 % SZS output start Proof % 0.36/1.25 ( % 0.36/1.25 (declare-sort $$unsorted 0) % 0.36/1.25 (declare-const tptp.tuple2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.c_unitvectorinterval $$unsorted) % 0.36/1.25 (declare-const tptp.c_subcollectionofwithrelationfromtypefn $$unsorted) % 0.36/1.25 (declare-const tptp.c_directionoftranslation_throughout $$unsorted) % 0.36/1.25 (declare-const tptp.natfunction (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.c_transitivebinarypredicate $$unsorted) % 0.36/1.25 (declare-const tptp.c_tptpcol_16_31868 $$unsorted) % 0.36/1.25 (declare-const tptp.true $$unsorted) % 0.36/1.25 (declare-const tptp.c_tptp_spindlecollectormt $$unsorted) % 0.36/1.25 (declare-const tptp.c_tptp_member2610_mt $$unsorted) % 0.36/1.25 (declare-const tptp.c_tptp_spindleheadmt $$unsorted) % 0.36/1.25 (declare-const tptp.c_cyclistsmt $$unsorted) % 0.36/1.25 (declare-const tptp.c_universalvocabularymt $$unsorted) % 0.36/1.25 (declare-const tptp.predicate (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.a $$unsorted) % 0.36/1.25 (declare-const tptp.c_movement_translationevent $$unsorted) % 0.36/1.25 (declare-const tptp.c_genlmt $$unsorted) % 0.36/1.25 (declare-const tptp.tptpcol_4_24578 (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.c_tptp_8_875 $$unsorted) % 0.36/1.25 (declare-const tptp.relationallexists (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.transitivebinarypredicate (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.c_basekb $$unsorted) % 0.36/1.25 (declare-const tptp.microtheory (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.tuple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.f_relationallexistsfn (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.n_1 $$unsorted) % 0.36/1.25 (declare-const tptp.tptp_8_875 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.isa (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.n_4 $$unsorted) % 0.36/1.25 (declare-const tptp.subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.genlinverse (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.c_relationallexistsfn $$unsorted) % 0.36/1.25 (declare-const tptp.c_tptp_member3993_mt $$unsorted) % 0.36/1.25 (declare-const tptp.resultisaarg (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.ifeq3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.mtvisible (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.c_calendarsvocabularymt $$unsorted) % 0.36/1.25 (declare-const tptp.c_calendarsmt $$unsorted) % 0.36/1.25 (declare-const tptp.genlpreds (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.function_denotational (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.genlmt (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 $$unsorted) % 0.36/1.25 (declare-const tptp.binarypredicate (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.collection (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.disjointwith (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.b $$unsorted) % 0.36/1.25 (declare-const tptp.genls (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.f_subcollectionofwithrelationfromtypefn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.tptpcol_16_31868 (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.movement_translationevent (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.positiveinteger (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.unitvectorinterval (-> $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.directionoftranslation_throughout (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.subevents (-> $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.natargument (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.n_2 $$unsorted) % 0.36/1.25 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/1.25 (declare-const tptp.n_3 $$unsorted) % 0.36/1.25 (declare-const tptp.thing (-> $$unsorted $$unsorted)) % 0.36/1.25 (define @t1 () (@var "B" $$unsorted)) % 0.36/1.25 (define @t2 () (@var "C" $$unsorted)) % 0.36/1.25 (define @t3 () (@var "A" $$unsorted)) % 0.36/1.25 (define @t4 () (tptp.ifeq3 @t3 @t3 @t1 @t2)) % 0.36/1.25 (define @t5 () (@list @t3 @t1 @t2)) % 0.36/1.25 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.36/1.25 (define @t7 () (tptp.ifeq2 @t3 @t3 @t1 @t2)) % 0.36/1.25 (define @t8 () (forall @t5 (= @t7 @t1))) % 0.36/1.25 (define @t9 () (@var "DEPCOL" $$unsorted)) % 0.36/1.25 (define @t10 () (@var "INDEPCOL" $$unsorted)) % 0.36/1.25 (define @t11 () (@var "PRED" $$unsorted)) % 0.36/1.25 (define @t12 () (@var "TERM" $$unsorted)) % 0.36/1.25 (define @t13 () (tptp.ifeq3 (tptp.relationallexists @t11 @t10 @t9) tptp.true (tptp.ifeq3 (tptp.isa @t12 @t10) tptp.true (tptp.isa (tptp.f_relationallexistsfn @t12 @t11 @t10 @t9) @t9) tptp.true) tptp.true)) % 0.36/1.25 (define @t14 () (forall (@list @t11 @t10 @t9 @t12) (= @t13 tptp.true))) % 0.36/1.25 (define @t15 () (tptp.f_subcollectionofwithrelationfromtypefn tptp.c_unitvectorinterval tptp.c_directionoftranslation_throughout tptp.c_movement_translationevent)) % 0.36/1.25 (define @t16 () (tptp.mtvisible tptp.c_tptp_member2610_mt)) % 0.36/1.25 (define @t17 () (tptp.ifeq3 @t16 tptp.true (tptp.ifeq3 (tptp.isa @t12 @t15) tptp.true (tptp.tptp_8_875 @t12 (tptp.f_relationallexistsfn @t12 tptp.c_tptp_8_875 @t15 tptp.c_tptpcol_16_31868)) tptp.true) tptp.true)) % 0.36/1.25 (define @t18 () (forall (@list @t12) (= @t17 tptp.true))) % 0.36/1.25 (define @t19 () (tptp.relationallexists tptp.c_tptp_8_875 @t15 tptp.c_tptpcol_16_31868)) % 0.36/1.25 (define @t20 () (tptp.ifeq3 @t16 tptp.true @t19 tptp.true)) % 0.36/1.25 (define @t21 () (tptp.isa tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @t15)) % 0.36/1.25 (define @t22 () (@var "GENLPRED" $$unsorted)) % 0.36/1.25 (define @t23 () (@var "SPECPRED" $$unsorted)) % 0.36/1.25 (define @t24 () (@var "INS" $$unsorted)) % 0.36/1.25 (define @t25 () (tptp.predicate @t24)) % 0.36/1.25 (define @t26 () (@var "ARG1" $$unsorted)) % 0.36/1.25 (define @t27 () (@list @t26 @t24)) % 0.36/1.25 (define @t28 () (@var "ARG2" $$unsorted)) % 0.36/1.25 (define @t29 () (@list @t24 @t28)) % 0.36/1.25 (define @t30 () (@var "Z" $$unsorted)) % 0.36/1.25 (define @t31 () (@var "X" $$unsorted)) % 0.36/1.25 (define @t32 () (@var "Y" $$unsorted)) % 0.36/1.25 (define @t33 () (@list @t32 @t30 @t31)) % 0.36/1.25 (define @t34 () (@list @t31)) % 0.36/1.25 (define @t35 () (tptp.binarypredicate @t24)) % 0.36/1.25 (define @t36 () (@var "NEW" $$unsorted)) % 0.36/1.25 (define @t37 () (@var "OLD" $$unsorted)) % 0.36/1.25 (define @t38 () (@list @t36 @t37 @t28)) % 0.36/1.25 (define @t39 () (@list @t37 @t36 @t26)) % 0.36/1.25 (define @t40 () (tptp.collection @t24)) % 0.36/1.25 (define @t41 () (tptp.genls @t36 @t37)) % 0.36/1.25 (define @t42 () (tptp.tptpcol_16_31868 @t31)) % 0.36/1.25 (define @t43 () (tptp.isa @t31 tptp.c_tptpcol_16_31868)) % 0.36/1.25 (define @t44 () (tptp.ifeq3 @t43 tptp.true @t42 tptp.true)) % 0.36/1.25 (define @t45 () (forall @t34 (= @t44 tptp.true))) % 0.36/1.25 (define @t46 () (tptp.movement_translationevent @t31)) % 0.36/1.25 (define @t47 () (tptp.isa @t31 tptp.c_movement_translationevent)) % 0.36/1.25 (define @t48 () (tptp.unitvectorinterval @t31)) % 0.36/1.25 (define @t49 () (tptp.isa @t31 tptp.c_unitvectorinterval)) % 0.36/1.25 (define @t50 () (@var "ARG3" $$unsorted)) % 0.36/1.25 (define @t51 () (tptp.f_subcollectionofwithrelationfromtypefn @t26 @t28 @t50)) % 0.36/1.25 (define @t52 () (@list @t26 @t28 @t50)) % 0.36/1.25 (define @t53 () (tptp.subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @t31)) % 0.36/1.25 (define @t54 () (tptp.isa @t31 @t15)) % 0.36/1.25 (define @t55 () (tptp.transitivebinarypredicate @t31)) % 0.36/1.25 (define @t56 () (tptp.isa @t31 tptp.c_transitivebinarypredicate)) % 0.36/1.25 (define @t57 () (@var "GENLMT" $$unsorted)) % 0.36/1.25 (define @t58 () (@var "SPECMT" $$unsorted)) % 0.36/1.25 (define @t59 () (tptp.ifeq3 (tptp.genlmt @t58 @t57) tptp.true (tptp.ifeq3 (tptp.mtvisible @t58) tptp.true (tptp.mtvisible @t57) tptp.true) tptp.true)) % 0.36/1.25 (define @t60 () (forall (@list @t58 @t57) (= @t59 tptp.true))) % 0.36/1.25 (define @t61 () (tptp.microtheory @t24)) % 0.36/1.25 (define @t62 () (@var "ARG4" $$unsorted)) % 0.36/1.25 (define @t63 () (tptp.f_relationallexistsfn @t26 @t28 @t50 @t62)) % 0.36/1.25 (define @t64 () (@list @t26 @t28 @t50 @t62)) % 0.36/1.25 (define @t65 () (tptp.mtvisible tptp.c_tptp_spindlecollectormt)) % 0.36/1.25 (define @t66 () (@var "COL2" $$unsorted)) % 0.36/1.25 (define @t67 () (@var "COL1" $$unsorted)) % 0.36/1.25 (define @t68 () (@var "OBJ" $$unsorted)) % 0.36/1.25 (define @t69 () (tptp.tuple2 tptp.true tptp.true)) % 0.36/1.25 (define @t70 () (tptp.ifeq2 (tptp.tuple2 (tptp.tptp_8_875 tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @t31) @t42) @t69 tptp.a tptp.b)) % 0.36/1.25 (define @t71 () (forall @t34 (= @t70 tptp.b))) % 0.36/1.25 (define @t72 () (tptp.f_relationallexistsfn tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 tptp.c_tptp_8_875 @t15 tptp.c_tptpcol_16_31868)) % 0.36/1.25 (define @t73 () (@list @t72)) % 0.36/1.25 (define @t74 () (tptp.tptpcol_16_31868 @t72)) % 0.36/1.25 (define @t75 () (tptp.isa @t72 tptp.c_tptpcol_16_31868)) % 0.36/1.25 (define @t76 () (tptp.ifeq3 tptp.true tptp.true @t75 tptp.true)) % 0.36/1.25 (define @t77 () (tptp.ifeq3 @t65 tptp.true @t16 tptp.true)) % 0.36/1.25 (define @t78 () (tptp.ifeq3 tptp.true tptp.true @t16 tptp.true)) % 0.36/1.25 (define @t79 () (tptp.tptp_8_875 tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786 @t72)) % 0.36/1.25 (define @t80 () (tptp.ifeq3 @t21 tptp.true @t79 tptp.true)) % 0.36/1.25 (define @t81 () (tptp.ifeq2 @t69 @t69 tptp.a tptp.b)) % 0.36/1.25 (define @t82 () (= tptp.a @t81)) % 0.36/1.25 (define @t83 () (forall @t5 (= @t1 @t7))) % 0.36/1.25 (assume @p1 @t6) % 0.36/1.25 (assume @p2 @t8) % 0.36/1.25 (assume @p3 (forall @t5 (= (tptp.ifeq @t3 @t3 @t1 @t2) @t1))) % 0.36/1.25 (assume @p4 @t14) % 0.36/1.25 (assume @p5 (= (tptp.resultisaarg tptp.c_relationallexistsfn tptp.n_4) tptp.true)) % 0.36/1.25 (assume @p6 (= (tptp.genlmt tptp.c_calendarsmt tptp.c_calendarsvocabularymt) tptp.true)) % 0.36/1.25 (assume @p7 (= (tptp.transitivebinarypredicate tptp.c_genlmt) tptp.true)) % 0.36/1.25 (assume @p8 (= (tptp.genlmt tptp.c_basekb tptp.c_universalvocabularymt) tptp.true)) % 0.36/1.25 (assume @p9 (= (tptp.genlmt tptp.c_cyclistsmt tptp.c_calendarsmt) tptp.true)) % 0.36/1.25 (assume @p10 (= (tptp.genlmt tptp.c_calendarsvocabularymt tptp.c_basekb) tptp.true)) % 0.36/1.25 (assume @p11 (= (tptp.genlmt tptp.c_tptp_spindleheadmt tptp.c_cyclistsmt) tptp.true)) % 0.36/1.25 (assume @p12 (= (tptp.genlmt tptp.c_tptp_spindlecollectormt tptp.c_tptp_member2610_mt) tptp.true)) % 0.36/1.25 (assume @p13 (= (tptp.genlmt tptp.c_tptp_member3993_mt tptp.c_tptp_spindleheadmt) tptp.true)) % 0.36/1.25 (assume @p14 (= (tptp.genlmt tptp.c_tptp_spindlecollectormt tptp.c_tptp_member3993_mt) tptp.true)) % 0.36/1.25 (assume @p15 @t18) % 0.36/1.25 (assume @p16 (= @t20 tptp.true)) % 0.36/1.25 (assume @p17 (= @t21 tptp.true)) % 0.36/1.25 (assume @p18 (= (tptp.subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786) tptp.true)) % 0.36/1.25 (assume @p19 (forall (@list @t11 @t22 @t23) (= (tptp.ifeq3 (tptp.genlinverse @t11 @t22) tptp.true (tptp.ifeq3 (tptp.genlinverse @t23 @t11) tptp.true (tptp.genlpreds @t23 @t22) tptp.true) tptp.true) tptp.true))) % 0.36/1.25 (assume @p20 (forall @t27 (= (tptp.ifeq3 (tptp.genlpreds @t26 @t24) tptp.true @t25 tptp.true) tptp.true))) % 0.36/1.25 (assume @p21 (forall @t29 (= (tptp.ifeq3 (tptp.genlpreds @t24 @t28) tptp.true @t25 tptp.true) tptp.true))) % 0.36/1.25 (assume @p22 (forall @t33 (= (tptp.ifeq3 (tptp.genlpreds @t32 @t30) tptp.true (tptp.ifeq3 (tptp.genlpreds @t31 @t32) tptp.true (tptp.genlpreds @t31 @t30) tptp.true) tptp.true) tptp.true))) % 0.36/1.25 (assume @p23 (forall @t34 (= (tptp.ifeq3 (tptp.predicate @t31) tptp.true (tptp.genlpreds @t31 @t31) tptp.true) tptp.true))) % 0.36/1.25 (assume @p24 (forall @t27 (= (tptp.ifeq3 (tptp.genlinverse @t26 @t24) tptp.true @t35 tptp.true) tptp.true))) % 0.36/1.25 (assume @p25 (forall @t29 (= (tptp.ifeq3 (tptp.genlinverse @t24 @t28) tptp.true @t35 tptp.true) tptp.true))) % 0.36/1.25 (assume @p26 (forall @t38 (= (tptp.ifeq3 (tptp.genlpreds @t36 @t37) tptp.true (tptp.ifeq3 (tptp.genlinverse @t37 @t28) tptp.true (tptp.genlinverse @t36 @t28) tptp.true) tptp.true) tptp.true))) % 0.36/1.25 (assume @p27 (forall @t39 (= (tptp.ifeq3 (tptp.genlpreds @t37 @t36) tptp.true (tptp.ifeq3 (tptp.genlinverse @t26 @t37) tptp.true (tptp.genlinverse @t26 @t36) tptp.true) tptp.true) tptp.true))) % 0.36/1.25 (assume @p28 (forall @t27 (= (tptp.ifeq3 (tptp.disjointwith @t26 @t24) tptp.true @t40 tptp.true) tptp.true))) % 0.36/1.25 (assume @p29 (forall @t29 (= (tptp.ifeq3 (tptp.disjointwith @t24 @t28) tptp.true @t40 tptp.true) tptp.true))) % 0.36/1.25 (assume @p30 (forall (@list @t31 @t32) (= (tptp.ifeq3 (tptp.disjointwith @t31 @t32) tptp.true (tptp.disjointwith @t32 @t31) tptp.true) tptp.true))) % 0.36/1.25 (assume @p31 (forall (@list @t36 @t37 @t26) (= (tptp.ifeq3 @t41 tptp.true (tptp.ifeq3 (tptp.disjointwith @t26 @t37) tptp.true (tptp.disjointwith @t26 @t36) tptp.true) tptp.true) tptp.true))) % 0.36/1.25 (assume @p32 (forall @t38 (= (tptp.ifeq3 @t41 tptp.true (tptp.ifeq3 (tptp.disjointwith @t37 @t28) tptp.true (tptp.disjointwith @t36 @t28) tptp.true) tptp.true) tptp.true))) % 0.36/1.25 (assume @p33 @t45) % 0.36/1.25 (assume @p34 (forall @t34 (= (tptp.ifeq3 @t42 tptp.true @t43 tptp.true) tptp.true))) % 0.36/1.25 (assume @p35 (forall @t34 (= (tptp.ifeq3 @t47 tptp.true @t46 tptp.true) tptp.true))) % 0.36/1.25 (assume @p36 (forall @t34 (= (tptp.ifeq3 @t46 tptp.true @t47 tptp.true) tptp.true))) % 0.36/1.25 (assume @p37 (forall @t27 (= (tptp.ifeq3 (tptp.directionoftranslation_throughout @t26 @t24) tptp.true (tptp.unitvectorinterval @t24) tptp.true) tptp.true))) % 0.36/1.25 (assume @p38 (forall @t29 (= (tptp.ifeq3 (tptp.directionoftranslation_throughout @t24 @t28) tptp.true (tptp.movement_translationevent @t24) tptp.true) tptp.true))) % 0.36/1.25 (assume @p39 (forall (@list @t37 @t36 @t28) (= (tptp.ifeq3 (tptp.subevents @t37 @t36) tptp.true (tptp.ifeq3 (tptp.directionoftranslation_throughout @t37 @t28) tptp.true (tptp.directionoftranslation_throughout @t36 @t28) tptp.true) tptp.true) tptp.true))) % 0.36/1.25 (assume @p40 (forall @t34 (= (tptp.ifeq3 @t49 tptp.true @t48 tptp.true) tptp.true))) % 0.36/1.25 (assume @p41 (forall @t34 (= (tptp.ifeq3 @t48 tptp.true @t49 tptp.true) tptp.true))) % 0.36/1.25 (assume @p42 (forall @t52 (= (tptp.natfunction @t51 tptp.c_subcollectionofwithrelationfromtypefn) tptp.true))) % 0.36/1.25 (assume @p43 (forall @t52 (= (tptp.natargument @t51 tptp.n_1 @t26) tptp.true))) % 0.36/1.25 (assume @p44 (forall @t52 (= (tptp.natargument @t51 tptp.n_2 @t28) tptp.true))) % 0.36/1.25 (assume @p45 (forall @t52 (= (tptp.natargument @t51 tptp.n_3 @t50) tptp.true))) % 0.36/1.25 (assume @p46 (forall @t52 (= (tptp.collection @t51) tptp.true))) % 0.36/1.25 (assume @p47 (forall @t34 (= (tptp.ifeq3 @t54 tptp.true @t53 tptp.true) tptp.true))) % 0.36/1.25 (assume @p48 (forall @t34 (= (tptp.ifeq3 @t53 tptp.true @t54 tptp.true) tptp.true))) % 0.36/1.25 (assume @p49 (forall @t27 (= (tptp.ifeq3 (tptp.tptp_8_875 @t26 @t24) tptp.true (tptp.tptpcol_4_24578 @t24) tptp.true) tptp.true))) % 0.36/1.25 (assume @p50 (forall @t29 (= (tptp.ifeq3 (tptp.tptp_8_875 @t24 @t28) tptp.true (tptp.subcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent @t24) tptp.true) tptp.true))) % 0.36/1.25 (assume @p51 (forall (@list @t26 @t28 @t24) (= (tptp.ifeq3 (tptp.relationallexists @t26 @t28 @t24) tptp.true @t40 tptp.true) tptp.true))) % 0.36/1.25 (assume @p52 (forall (@list @t26 @t24 @t50) (= (tptp.ifeq3 (tptp.relationallexists @t26 @t24 @t50) tptp.true @t40 tptp.true) tptp.true))) % 0.36/1.25 (assume @p53 (forall (@list @t24 @t28 @t50) (= (tptp.ifeq3 (tptp.relationallexists @t24 @t28 @t50) tptp.true @t35 tptp.true) tptp.true))) % 0.36/1.25 (assume @p54 (= (tptp.mtvisible tptp.c_basekb) tptp.true)) % 0.36/1.25 (assume @p55 (forall @t34 (= (tptp.ifeq3 @t56 tptp.true @t55 tptp.true) tptp.true))) % 0.36/1.25 (assume @p56 (forall @t34 (= (tptp.ifeq3 @t55 tptp.true @t56 tptp.true) tptp.true))) % 0.36/1.25 (assume @p57 (forall @t27 (= (tptp.ifeq3 (tptp.isa @t26 @t24) tptp.true @t40 tptp.true) tptp.true))) % 0.36/1.25 (assume @p58 (forall @t29 (= (tptp.ifeq3 (tptp.isa @t24 @t28) tptp.true (tptp.thing @t24) tptp.true) tptp.true))) % 0.36/1.25 (assume @p59 (forall @t39 (= (tptp.ifeq3 (tptp.genls @t37 @t36) tptp.true (tptp.ifeq3 (tptp.isa @t26 @t37) tptp.true (tptp.isa @t26 @t36) tptp.true) tptp.true) tptp.true))) % 0.36/1.25 (assume @p60 @t60) % 0.36/1.25 (assume @p61 (forall @t27 (= (tptp.ifeq3 (tptp.genlmt @t26 @t24) tptp.true @t61 tptp.true) tptp.true))) % 0.36/1.25 (assume @p62 (forall @t29 (= (tptp.ifeq3 (tptp.genlmt @t24 @t28) tptp.true @t61 tptp.true) tptp.true))) % 0.36/1.25 (assume @p63 (forall @t33 (= (tptp.ifeq3 (tptp.genlmt @t32 @t30) tptp.true (tptp.ifeq3 (tptp.genlmt @t31 @t32) tptp.true (tptp.genlmt @t31 @t30) tptp.true) tptp.true) tptp.true))) % 0.36/1.25 (assume @p64 (forall @t34 (= (tptp.ifeq3 (tptp.microtheory @t31) tptp.true (tptp.genlmt @t31 @t31) tptp.true) tptp.true))) % 0.36/1.25 (assume @p65 (forall @t64 (= (tptp.natfunction @t63 tptp.c_relationallexistsfn) tptp.true))) % 0.36/1.25 (assume @p66 (forall @t64 (= (tptp.natargument @t63 tptp.n_1 @t26) tptp.true))) % 0.36/1.25 (assume @p67 (forall @t64 (= (tptp.natargument @t63 tptp.n_2 @t28) tptp.true))) % 0.36/1.25 (assume @p68 (forall @t64 (= (tptp.natargument @t63 tptp.n_3 @t50) tptp.true))) % 0.36/1.25 (assume @p69 (forall @t64 (= (tptp.natargument @t63 tptp.n_4 @t62) tptp.true))) % 0.36/1.25 (assume @p70 (forall @t64 (= (tptp.thing @t63) tptp.true))) % 0.36/1.25 (assume @p71 (forall @t27 (= (tptp.ifeq3 (tptp.resultisaarg @t26 @t24) tptp.true (tptp.positiveinteger @t24) tptp.true) tptp.true))) % 0.36/1.25 (assume @p72 (forall @t29 (= (tptp.ifeq3 (tptp.resultisaarg @t24 @t28) tptp.true (tptp.function_denotational @t24) tptp.true) tptp.true))) % 0.36/1.25 (assume @p73 (= (tptp.mtvisible tptp.c_universalvocabularymt) tptp.true)) % 0.36/1.25 (assume @p74 (= @t65 tptp.true)) % 0.36/1.25 (assume @p75 (forall (@list @t68 @t67 @t66) (= (tptp.ifeq (tptp.tuple (tptp.isa @t68 @t67) (tptp.isa @t68 @t66) (tptp.disjointwith @t67 @t66)) (tptp.tuple tptp.true tptp.true tptp.true) tptp.a tptp.b) tptp.b))) % 0.36/1.25 (assume @p76 @t71) % 0.36/1.25 (assume @p77 (not (= tptp.a tptp.b))) % 0.36/1.25 (step @p78 :rule eq-symm :args (@t7 @t1)) % 0.36/1.25 (step @p79 :rule cong :premises (@p78) :args (@t8)) % 0.36/1.25 (step @p80 :rule eq_resolve :premises (@p2 @p79)) % 0.36/1.25 (step @p81 :rule false_intro :premises (@p77)) % 0.36/1.25 (step @p82 :rule eq-symm :args (@t70 tptp.b)) % 0.36/1.25 (step @p83 :rule cong :premises (@p82) :args (@t71)) % 0.36/1.25 (step @p84 :rule eq_resolve :premises (@p76 @p83)) % 0.36/1.25 (step @p85 :rule instantiate :premises (@p84) :args (@t73)) % 0.36/1.25 (step @p86 :rule symm :premises (@p85)) % 0.36/1.25 (step @p87 :rule refl :args (tptp.b)) % 0.36/1.25 (step @p88 :rule refl :args (tptp.a)) % 0.36/1.25 (step @p89 :rule refl :args (@t69)) % 0.36/1.25 (step @p90 :rule eq-symm :args (@t4 @t1)) % 0.36/1.25 (step @p91 :rule cong :premises (@p90) :args (@t6)) % 0.36/1.25 (step @p92 :rule eq_resolve :premises (@p1 @p91)) % 0.36/1.25 (step @p93 :rule instantiate :premises (@p92) :args ((@list tptp.true @t74 tptp.true))) % 0.36/1.25 (step @p94 :rule symm :premises (@p93)) % 0.36/1.25 (step @p95 :rule refl :args (tptp.true)) % 0.36/1.25 (step @p96 :rule refl :args (@t74)) % 0.36/1.25 (step @p97 :rule symm :premises (@p17)) % 0.36/1.25 (step @p98 :rule eq-symm :args (@t13 tptp.true)) % 0.36/1.25 (step @p99 :rule cong :premises (@p98) :args (@t14)) % 0.36/1.25 (step @p100 :rule eq_resolve :premises (@p4 @p99)) % 0.36/1.25 (step @p101 :rule instantiate :premises (@p100) :args ((@list tptp.c_tptp_8_875 @t15 tptp.c_tptpcol_16_31868 tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786))) % 0.36/1.25 (step @p102 :rule symm :premises (@p101)) % 0.36/1.25 (step @p103 :rule refl :args (@t75)) % 0.36/1.25 (step @p104 :rule cong :premises (@p97 @p95 @p103 @p95) :args (@t76)) % 0.36/1.25 (step @p105 :rule instantiate :premises (@p92) :args ((@list tptp.true @t75 tptp.true))) % 0.36/1.25 (step @p106 :rule trans :premises (@p105 @p104)) % 0.36/1.25 (step @p107 :rule instantiate :premises (@p92) :args ((@list tptp.true @t19 tptp.true))) % 0.36/1.25 (step @p108 :rule symm :premises (@p107)) % 0.36/1.25 (step @p109 :rule refl :args (@t19)) % 0.36/1.25 (step @p110 :rule eq-symm :args (@t59 tptp.true)) % 0.36/1.25 (step @p111 :rule cong :premises (@p110) :args (@t60)) % 0.36/1.25 (step @p112 :rule eq_resolve :premises (@p60 @p111)) % 0.36/1.25 (step @p113 :rule instantiate :premises (@p112) :args ((@list tptp.c_tptp_spindlecollectormt tptp.c_tptp_member2610_mt))) % 0.36/1.25 (step @p114 :rule symm :premises (@p113)) % 0.36/1.25 (step @p115 :rule refl :args (@t77)) % 0.36/1.25 (step @p116 :rule symm :premises (@p12)) % 0.36/1.25 (step @p117 :rule cong :premises (@p116 @p95 @p115 @p95) :args ((tptp.ifeq3 tptp.true tptp.true @t77 tptp.true))) % 0.36/1.25 (step @p118 :rule refl :args (@t16)) % 0.36/1.25 (step @p119 :rule symm :premises (@p74)) % 0.36/1.25 (step @p120 :rule cong :premises (@p119 @p95 @p118 @p95) :args (@t78)) % 0.36/1.25 (step @p121 :rule instantiate :premises (@p92) :args ((@list tptp.true @t16 tptp.true))) % 0.36/1.25 (step @p122 :rule trans :premises (@p121 @p120)) % 0.36/1.25 (step @p123 :rule cong :premises (@p95 @p95 @p122 @p95) :args (@t78)) % 0.36/1.25 (step @p124 :rule trans :premises (@p121 @p123 @p117 @p114 @p97)) % 0.36/1.25 (step @p125 :rule trans :premises (@p124 @p17)) % 0.36/1.25 (step @p126 :rule cong :premises (@p125 @p95 @p109 @p95) :args (@t20)) % 0.36/1.25 (step @p127 :rule symm :premises (@p16)) % 0.36/1.25 (step @p128 :rule trans :premises (@p17 @p127 @p126 @p108)) % 0.36/1.25 (step @p129 :rule trans :premises (@p97 @p128)) % 0.36/1.25 (step @p130 :rule cong :premises (@p129 @p95 @p106 @p95) :args (@t76)) % 0.36/1.25 (step @p131 :rule trans :premises (@p105 @p130 @p102 @p97)) % 0.36/1.25 (step @p132 :rule trans :premises (@p131 @p17)) % 0.36/1.25 (step @p133 :rule cong :premises (@p132 @p95 @p96 @p95) :args ((tptp.ifeq3 @t75 tptp.true @t74 tptp.true))) % 0.36/1.25 (step @p134 :rule eq-symm :args (@t44 tptp.true)) % 0.36/1.25 (step @p135 :rule cong :premises (@p134) :args (@t45)) % 0.36/1.25 (step @p136 :rule eq_resolve :premises (@p33 @p135)) % 0.36/1.25 (step @p137 :rule instantiate :premises (@p136) :args (@t73)) % 0.36/1.25 (step @p138 :rule trans :premises (@p137 @p133 @p94)) % 0.36/1.25 (step @p139 :rule instantiate :premises (@p92) :args ((@list tptp.true @t79 tptp.true))) % 0.36/1.25 (step @p140 :rule symm :premises (@p139)) % 0.36/1.25 (step @p141 :rule refl :args (@t79)) % 0.36/1.25 (step @p142 :rule cong :premises (@p17 @p95 @p141 @p95) :args (@t80)) % 0.36/1.25 (step @p143 :rule trans :premises (@p142 @p140)) % 0.36/1.25 (step @p144 :rule cong :premises (@p125 @p95 @p143 @p95) :args ((tptp.ifeq3 @t16 tptp.true @t80 tptp.true))) % 0.36/1.25 (step @p145 :rule eq-symm :args (@t17 tptp.true)) % 0.36/1.25 (step @p146 :rule cong :premises (@p145) :args (@t18)) % 0.36/1.25 (step @p147 :rule eq_resolve :premises (@p15 @p146)) % 0.36/1.25 (step @p148 :rule instantiate :premises (@p147) :args ((@list tptp.c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786))) % 0.36/1.25 (step @p149 :rule trans :premises (@p148 @p144 @p140)) % 0.36/1.25 (step @p150 :rule cong :premises (@p149 @p138) :args (@t69)) % 0.36/1.25 (step @p151 :rule cong :premises (@p150 @p89 @p88 @p87) :args (@t81)) % 0.36/1.25 (step @p152 :rule trans :premises (@p151 @p86)) % 0.36/1.25 (step @p153 :rule cong :premises (@p88 @p152) :args (@t82)) % 0.36/1.25 (step @p154 :rule trans :premises (@p153 @p81)) % 0.36/1.25 (step @p155 :rule false_elim :premises (@p154)) % 0.36/1.25 (assume-push @p162 @t83) % 0.36/1.25 (step @p157 :rule instantiate :premises (@p80) :args ((@list @t69 tptp.a tptp.b))) % 0.36/1.25 (step-pop @p163 :rule scope :premises (@p157)) % 0.36/1.25 (step @p158 :rule process_scope :premises (@p163) :args (@t82)) % 0.36/1.25 (step @p160 :rule implies_elim :premises (@p158)) % 0.36/1.25 (step @p161 false :rule chain_m_resolution :premises (@p160 @p155 @p80) :args (false (@list true false) (@list @t82 @t83))) % 0.36/1.25 ) % 0.36/1.25 % SZS output end Proof % 0.36/1.25 % cvc5 exiting %------------------------------------------------------------------------------