%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR038+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:11:23 AM UTC 2026 % Result : Theorem 0.35s 0.65s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.15 % Problem : CSR038+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.16 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.38 % Computer : n007.cluster.edu % 0.15/0.38 % Model : x86_64 x86_64 % 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.38 % Memory : 8042.1875MB % 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.38 % CPULimit : 300 % 0.15/0.38 % WCLimit : 300 % 0.15/0.38 % DateTime : Mon Jun 1 20:43:27 EDT 2026 % 0.15/0.38 % CPUTime : % 0.32/0.56 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.65 % SZS status Theorem % 0.35/0.65 % SZS output start Proof % 0.35/0.65 ( % 0.35/0.65 (declare-sort $$unsorted 0) % 0.35/0.65 (declare-const tptp.n_4 $$unsorted) % 0.35/0.65 (declare-const tptp.mtvisible (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.thing (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.n_2 $$unsorted) % 0.35/0.65 (declare-const tptp.natargument (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.n_1 $$unsorted) % 0.35/0.65 (declare-const tptp.natfunction (-> $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.positiveinteger (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.c_subcollectionofwithrelationtotypefn $$unsorted) % 0.35/0.65 (declare-const tptp.c_transitivebinarypredicate $$unsorted) % 0.35/0.65 (declare-const tptp.issuingaprescription (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.creationordestructionevent (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.artifact (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.c_universalvocabularymt $$unsorted) % 0.35/0.65 (declare-const tptp.transitivebinarypredicate (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.c_genlmt $$unsorted) % 0.35/0.65 (declare-const tptp.genlmt (-> $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.c_knowledgefragmentd3mt $$unsorted) % 0.35/0.65 (declare-const tptp.resultisaarg (-> $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.c_relationexistsallfn $$unsorted) % 0.35/0.65 (declare-const tptp.tptpcol_7_7172 (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.c_correctivelensprescription $$unsorted) % 0.35/0.65 (declare-const tptp.function_denotational (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.genlinverse (-> $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.relationexistsall (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.c_tptpcol_16_7738 $$unsorted) % 0.35/0.65 (declare-const tptp.n_3 $$unsorted) % 0.35/0.65 (declare-const tptp.c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 $$unsorted) % 0.35/0.65 (declare-const tptp.products (-> $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.isa (-> $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.f_subcollectionofwithrelationtotypefn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.65 (declare-const tptp.microtheory (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.tptpcol_16_7738 (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.c_basekb $$unsorted) % 0.35/0.65 (declare-const tptp.disjointwith (-> $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.genls (-> $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.f_relationexistsallfn (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.65 (declare-const tptp.c_issuingaprescription $$unsorted) % 0.35/0.65 (declare-const tptp.c_tptp_8_968 $$unsorted) % 0.35/0.65 (declare-const tptp.tptp_8_968 (-> $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.collection (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.genlpreds (-> $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.c_products $$unsorted) % 0.35/0.65 (declare-const tptp.correctivelensprescription (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.predicate (-> $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.binarypredicate (-> $$unsorted Bool)) % 0.35/0.65 (define @t1 () (@var "DEPCOL" $$unsorted)) % 0.35/0.65 (define @t2 () (@var "INDEPCOL" $$unsorted)) % 0.35/0.65 (define @t3 () (@var "PRED" $$unsorted)) % 0.35/0.65 (define @t4 () (@var "TERM" $$unsorted)) % 0.35/0.65 (define @t5 () (tptp.isa (tptp.f_relationexistsallfn @t4 @t3 @t1 @t2) @t1)) % 0.35/0.65 (define @t6 () (tptp.relationexistsall @t3 @t1 @t2)) % 0.35/0.65 (define @t7 () (tptp.isa @t4 @t2)) % 0.35/0.65 (define @t8 () (and @t7 @t6)) % 0.35/0.65 (define @t9 () (forall (@list @t4 @t2 @t3 @t1) (=> @t8 @t5))) % 0.35/0.65 (define @t10 () (tptp.f_subcollectionofwithrelationtotypefn tptp.c_issuingaprescription tptp.c_products tptp.c_correctivelensprescription)) % 0.35/0.65 (define @t11 () (tptp.tptp_8_968 (tptp.f_relationexistsallfn @t4 tptp.c_tptp_8_968 tptp.c_tptpcol_16_7738 @t10) @t4)) % 0.35/0.65 (define @t12 () (tptp.isa @t4 @t10)) % 0.35/0.65 (define @t13 () (forall (@list @t4) (=> @t12 @t11))) % 0.35/0.65 (define @t14 () (tptp.relationexistsall tptp.c_tptp_8_968 tptp.c_tptpcol_16_7738 @t10)) % 0.35/0.65 (define @t15 () (tptp.isa tptp.c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @t10)) % 0.35/0.65 (define @t16 () (@var "COL2" $$unsorted)) % 0.35/0.65 (define @t17 () (@var "COL1" $$unsorted)) % 0.35/0.65 (define @t18 () (@var "OBJ" $$unsorted)) % 0.35/0.65 (define @t19 () (@var "GENLPRED" $$unsorted)) % 0.35/0.65 (define @t20 () (@var "SPECPRED" $$unsorted)) % 0.35/0.65 (define @t21 () (@var "INS" $$unsorted)) % 0.35/0.65 (define @t22 () (tptp.predicate @t21)) % 0.35/0.65 (define @t23 () (@var "ARG1" $$unsorted)) % 0.35/0.65 (define @t24 () (@list @t23 @t21)) % 0.35/0.65 (define @t25 () (@var "ARG2" $$unsorted)) % 0.35/0.65 (define @t26 () (@list @t21 @t25)) % 0.35/0.65 (define @t27 () (@var "Z" $$unsorted)) % 0.35/0.65 (define @t28 () (@var "X" $$unsorted)) % 0.35/0.65 (define @t29 () (@var "Y" $$unsorted)) % 0.35/0.65 (define @t30 () (@list @t28 @t29 @t27)) % 0.35/0.65 (define @t31 () (@list @t28)) % 0.35/0.65 (define @t32 () (tptp.binarypredicate @t21)) % 0.35/0.65 (define @t33 () (@var "NEW" $$unsorted)) % 0.35/0.65 (define @t34 () (@var "OLD" $$unsorted)) % 0.35/0.65 (define @t35 () (@list @t34 @t25 @t33)) % 0.35/0.65 (define @t36 () (@list @t23 @t34 @t33)) % 0.35/0.65 (define @t37 () (tptp.collection @t21)) % 0.35/0.65 (define @t38 () (tptp.genls @t33 @t34)) % 0.35/0.65 (define @t39 () (tptp.correctivelensprescription @t28)) % 0.35/0.65 (define @t40 () (tptp.isa @t28 tptp.c_correctivelensprescription)) % 0.35/0.65 (define @t41 () (tptp.issuingaprescription @t28)) % 0.35/0.65 (define @t42 () (tptp.isa @t28 tptp.c_issuingaprescription)) % 0.35/0.65 (define @t43 () (@var "ARG3" $$unsorted)) % 0.35/0.65 (define @t44 () (tptp.f_subcollectionofwithrelationtotypefn @t23 @t25 @t43)) % 0.35/0.65 (define @t45 () (@list @t23 @t25 @t43)) % 0.35/0.65 (define @t46 () (tptp.subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription @t28)) % 0.35/0.65 (define @t47 () (tptp.isa @t28 @t10)) % 0.35/0.65 (define @t48 () (tptp.tptpcol_16_7738 @t28)) % 0.35/0.65 (define @t49 () (tptp.isa @t28 tptp.c_tptpcol_16_7738)) % 0.35/0.65 (define @t50 () (forall @t31 (=> @t49 @t48))) % 0.35/0.65 (define @t51 () (tptp.transitivebinarypredicate @t28)) % 0.35/0.65 (define @t52 () (tptp.isa @t28 tptp.c_transitivebinarypredicate)) % 0.35/0.65 (define @t53 () (@var "GENLMT" $$unsorted)) % 0.35/0.65 (define @t54 () (@var "SPECMT" $$unsorted)) % 0.35/0.65 (define @t55 () (tptp.microtheory @t21)) % 0.35/0.65 (define @t56 () (@var "ARG4" $$unsorted)) % 0.35/0.65 (define @t57 () (tptp.f_relationexistsallfn @t23 @t25 @t43 @t56)) % 0.35/0.65 (define @t58 () (@list @t23 @t25 @t43 @t56)) % 0.35/0.65 (define @t59 () (tptp.tptp_8_968 @t28 tptp.c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)) % 0.35/0.65 (define @t60 () (and @t59 @t48)) % 0.35/0.65 (define @t61 () (tptp.mtvisible tptp.c_knowledgefragmentd3mt)) % 0.35/0.65 (define @t62 () (=> @t61 @t60)) % 0.35/0.65 (define @t63 () (exists @t31 @t62)) % 0.35/0.65 (define @t64 () (not @t63)) % 0.35/0.65 (define @t65 () (not @t6)) % 0.35/0.65 (define @t66 () (not @t7)) % 0.35/0.65 (define @t67 () (tptp.f_relationexistsallfn tptp.c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 tptp.c_tptp_8_968 tptp.c_tptpcol_16_7738 @t10)) % 0.35/0.65 (define @t68 () (tptp.isa @t67 tptp.c_tptpcol_16_7738)) % 0.35/0.65 (define @t69 () (not @t14)) % 0.35/0.65 (define @t70 () (not @t15)) % 0.35/0.65 (define @t71 () (or @t70 @t69 @t68)) % 0.35/0.65 (define @t72 () (@var "BOUND_VARIABLE_7933" $$unsorted)) % 0.35/0.65 (define @t73 () (or (not @t59) (not @t48))) % 0.35/0.65 (define @t74 () (forall @t31 @t73)) % 0.35/0.65 (define @t75 () (forall @t31 @t61)) % 0.35/0.65 (define @t76 () (and @t75 @t74)) % 0.35/0.65 (define @t77 () (forall @t31 (not @t62))) % 0.35/0.65 (define @t78 () (not @t77)) % 0.35/0.65 (define @t79 () (@list @t67)) % 0.35/0.65 (define @t80 () (tptp.tptp_8_968 @t67 tptp.c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)) % 0.35/0.65 (define @t81 () (or @t70 @t80)) % 0.35/0.65 (define @t82 () (@list false false)) % 0.35/0.65 (define @t83 () (tptp.tptpcol_16_7738 @t67)) % 0.35/0.65 (define @t84 () (not @t83)) % 0.35/0.65 (define @t85 () (not @t80)) % 0.35/0.65 (define @t86 () (or @t85 @t84)) % 0.35/0.65 (define @t87 () (not @t68)) % 0.35/0.65 (define @t88 () (or @t87 @t83)) % 0.35/0.65 (define @t89 () (not @t88)) % 0.35/0.65 (define @t90 () (@list true false)) % 0.35/0.65 (define @t91 () (forall @t31 (or (not @t49) @t48))) % 0.35/0.65 (assume @p1 @t9) % 0.35/0.65 (assume @p2 (tptp.resultisaarg tptp.c_relationexistsallfn tptp.n_3)) % 0.35/0.65 (assume @p3 (tptp.genlmt tptp.c_knowledgefragmentd3mt tptp.c_basekb)) % 0.35/0.65 (assume @p4 (tptp.transitivebinarypredicate tptp.c_genlmt)) % 0.35/0.65 (assume @p5 (tptp.genlmt tptp.c_basekb tptp.c_universalvocabularymt)) % 0.35/0.65 (assume @p6 @t13) % 0.35/0.65 (assume @p7 @t14) % 0.35/0.65 (assume @p8 @t15) % 0.35/0.65 (assume @p9 (tptp.subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription tptp.c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)) % 0.35/0.65 (assume @p10 (forall (@list @t18 @t17 @t16) (not (and (tptp.isa @t18 @t17) (tptp.isa @t18 @t16) (tptp.disjointwith @t17 @t16))))) % 0.35/0.65 (assume @p11 (forall (@list @t20 @t3 @t19) (=> (and (tptp.genlinverse @t20 @t3) (tptp.genlinverse @t3 @t19)) (tptp.genlpreds @t20 @t19)))) % 0.35/0.65 (assume @p12 (forall @t24 (=> (tptp.genlpreds @t23 @t21) @t22))) % 0.35/0.65 (assume @p13 (forall @t26 (=> (tptp.genlpreds @t21 @t25) @t22))) % 0.35/0.65 (assume @p14 (forall @t30 (=> (and (tptp.genlpreds @t28 @t29) (tptp.genlpreds @t29 @t27)) (tptp.genlpreds @t28 @t27)))) % 0.35/0.65 (assume @p15 (forall @t31 (=> (tptp.predicate @t28) (tptp.genlpreds @t28 @t28)))) % 0.35/0.65 (assume @p16 (forall @t24 (=> (tptp.genlinverse @t23 @t21) @t32))) % 0.35/0.65 (assume @p17 (forall @t26 (=> (tptp.genlinverse @t21 @t25) @t32))) % 0.35/0.65 (assume @p18 (forall @t35 (=> (and (tptp.genlinverse @t34 @t25) (tptp.genlpreds @t33 @t34)) (tptp.genlinverse @t33 @t25)))) % 0.35/0.65 (assume @p19 (forall @t36 (=> (and (tptp.genlinverse @t23 @t34) (tptp.genlpreds @t34 @t33)) (tptp.genlinverse @t23 @t33)))) % 0.35/0.65 (assume @p20 (forall @t24 (=> (tptp.disjointwith @t23 @t21) @t37))) % 0.35/0.65 (assume @p21 (forall @t26 (=> (tptp.disjointwith @t21 @t25) @t37))) % 0.35/0.65 (assume @p22 (forall (@list @t28 @t29) (=> (tptp.disjointwith @t28 @t29) (tptp.disjointwith @t29 @t28)))) % 0.35/0.65 (assume @p23 (forall @t36 (=> (and (tptp.disjointwith @t23 @t34) @t38) (tptp.disjointwith @t23 @t33)))) % 0.35/0.65 (assume @p24 (forall @t35 (=> (and (tptp.disjointwith @t34 @t25) @t38) (tptp.disjointwith @t33 @t25)))) % 0.35/0.65 (assume @p25 (forall @t31 (=> @t40 @t39))) % 0.35/0.65 (assume @p26 (forall @t31 (=> @t39 @t40))) % 0.35/0.65 (assume @p27 (forall @t24 (=> (tptp.products @t23 @t21) (tptp.artifact @t21)))) % 0.35/0.65 (assume @p28 (forall @t26 (=> (tptp.products @t21 @t25) (tptp.creationordestructionevent @t21)))) % 0.35/0.65 (assume @p29 (forall @t31 (=> @t42 @t41))) % 0.35/0.65 (assume @p30 (forall @t31 (=> @t41 @t42))) % 0.35/0.65 (assume @p31 (forall @t45 (tptp.natfunction @t44 tptp.c_subcollectionofwithrelationtotypefn))) % 0.35/0.65 (assume @p32 (forall @t45 (tptp.natargument @t44 tptp.n_1 @t23))) % 0.35/0.65 (assume @p33 (forall @t45 (tptp.natargument @t44 tptp.n_2 @t25))) % 0.35/0.65 (assume @p34 (forall @t45 (tptp.natargument @t44 tptp.n_3 @t43))) % 0.35/0.65 (assume @p35 (forall @t45 (tptp.collection @t44))) % 0.35/0.65 (assume @p36 (forall @t31 (=> @t47 @t46))) % 0.35/0.65 (assume @p37 (forall @t31 (=> @t46 @t47))) % 0.35/0.65 (assume @p38 @t50) % 0.35/0.65 (assume @p39 (forall @t31 (=> @t48 @t49))) % 0.35/0.65 (assume @p40 (forall @t24 (=> (tptp.tptp_8_968 @t23 @t21) (tptp.subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription @t21)))) % 0.35/0.65 (assume @p41 (forall @t26 (=> (tptp.tptp_8_968 @t21 @t25) (tptp.tptpcol_7_7172 @t21)))) % 0.35/0.65 (assume @p42 (forall (@list @t23 @t25 @t21) (=> (tptp.relationexistsall @t23 @t25 @t21) @t37))) % 0.35/0.65 (assume @p43 (forall (@list @t23 @t21 @t43) (=> (tptp.relationexistsall @t23 @t21 @t43) @t37))) % 0.35/0.65 (assume @p44 (forall (@list @t21 @t25 @t43) (=> (tptp.relationexistsall @t21 @t25 @t43) @t32))) % 0.35/0.65 (assume @p45 (forall @t31 (=> @t52 @t51))) % 0.35/0.65 (assume @p46 (forall @t31 (=> @t51 @t52))) % 0.35/0.65 (assume @p47 (forall @t24 (=> (tptp.isa @t23 @t21) @t37))) % 0.35/0.65 (assume @p48 (forall @t26 (=> (tptp.isa @t21 @t25) (tptp.thing @t21)))) % 0.35/0.65 (assume @p49 (forall @t36 (=> (and (tptp.isa @t23 @t34) (tptp.genls @t34 @t33)) (tptp.isa @t23 @t33)))) % 0.35/0.65 (assume @p50 (forall (@list @t54 @t53) (=> (and (tptp.mtvisible @t54) (tptp.genlmt @t54 @t53)) (tptp.mtvisible @t53)))) % 0.35/0.65 (assume @p51 (forall @t24 (=> (tptp.genlmt @t23 @t21) @t55))) % 0.35/0.65 (assume @p52 (forall @t26 (=> (tptp.genlmt @t21 @t25) @t55))) % 0.35/0.65 (assume @p53 (forall @t30 (=> (and (tptp.genlmt @t28 @t29) (tptp.genlmt @t29 @t27)) (tptp.genlmt @t28 @t27)))) % 0.35/0.65 (assume @p54 (forall @t31 (=> (tptp.microtheory @t28) (tptp.genlmt @t28 @t28)))) % 0.35/0.65 (assume @p55 (tptp.mtvisible tptp.c_basekb)) % 0.35/0.65 (assume @p56 (forall @t58 (tptp.natfunction @t57 tptp.c_relationexistsallfn))) % 0.35/0.65 (assume @p57 (forall @t58 (tptp.natargument @t57 tptp.n_1 @t23))) % 0.35/0.65 (assume @p58 (forall @t58 (tptp.natargument @t57 tptp.n_2 @t25))) % 0.35/0.65 (assume @p59 (forall @t58 (tptp.natargument @t57 tptp.n_3 @t43))) % 0.35/0.65 (assume @p60 (forall @t58 (tptp.natargument @t57 tptp.n_4 @t56))) % 0.35/0.65 (assume @p61 (forall @t58 (tptp.thing @t57))) % 0.35/0.65 (assume @p62 (forall @t24 (=> (tptp.resultisaarg @t23 @t21) (tptp.positiveinteger @t21)))) % 0.35/0.65 (assume @p63 (forall @t26 (=> (tptp.resultisaarg @t21 @t25) (tptp.function_denotational @t21)))) % 0.35/0.65 (assume @p64 (tptp.mtvisible tptp.c_universalvocabularymt)) % 0.35/0.65 (assume @p65 @t64) % 0.35/0.65 (assume @p66 true) % 0.35/0.65 (step @p67 :rule bool-impl-elim :args (@t49 @t48)) % 0.35/0.65 (step @p68 :rule cong :premises (@p67) :args (@t50)) % 0.35/0.65 (step @p69 :rule eq_resolve :premises (@p38 @p68)) % 0.35/0.65 (step @p70 :rule aci_norm :args ((= (or (or @t66 @t65) @t5) (or @t66 @t65 @t5)))) % 0.35/0.65 (step @p71 :rule refl :args (@t5)) % 0.35/0.65 (step @p72 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.35/0.65 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or (not @t8) @t5))) % 0.35/0.65 (step @p74 :rule trans :premises (@p73 @p70)) % 0.35/0.65 (step @p75 :rule bool-impl-elim :args (@t8 @t5)) % 0.35/0.65 (step @p76 :rule trans :premises (@p75 @p74)) % 0.35/0.65 (step @p77 :rule cong :premises (@p76) :args (@t9)) % 0.35/0.65 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 0.35/0.65 (step @p79 :rule instantiate :premises (@p78) :args ((@list tptp.c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @t10 tptp.c_tptp_8_968 tptp.c_tptpcol_16_7738))) % 0.35/0.65 (step @p80 :rule cnf_or_pos :args (@t71)) % 0.35/0.65 (step @p81 :rule reordering :premises (@p80) :args ((or @t69 @t70 @t68 (not @t71)))) % 0.35/0.65 (step @p82 :rule chain_m_resolution :premises (@p81 @p7 @p8 @p79) :args (@t68 (@list false false false) (@list @t14 @t15 @t71))) % 0.35/0.65 (step @p83 :rule bool-double-not-elim :args ((and @t61 (forall (@list @t72) (or (not (tptp.tptp_8_968 @t72 tptp.c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)) (not (tptp.tptpcol_16_7738 @t72))))))) % 0.35/0.65 (step @p84 :rule alpha_equiv :args (@t74 (@list @t28) (@list @t72))) % 0.35/0.65 (step @p85 :rule quant-unused-vars :args ((= @t75 @t61))) % 0.35/0.65 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t76)) % 0.35/0.65 (step @p87 :rule quant-miniscope-and :args ((= (forall @t31 (and @t61 @t73)) @t76))) % 0.35/0.65 (step @p88 :rule trans :premises (@p87 @p86)) % 0.35/0.65 (step @p89 :rule bool-and-de-morgan :args (@t59 @t48 true)) % 0.35/0.65 (step @p90 :rule refl :args (@t61)) % 0.35/0.65 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((and @t61 (not @t60)))) % 0.35/0.65 (step @p92 :rule bool-implies-de-morgan :args (@t61 @t60)) % 0.35/0.65 (step @p93 :rule trans :premises (@p92 @p91)) % 0.35/0.65 (step @p94 :rule cong :premises (@p93) :args (@t77)) % 0.35/0.65 (step @p95 :rule trans :premises (@p94 @p88)) % 0.35/0.65 (step @p96 :rule cong :premises (@p95) :args (@t78)) % 0.35/0.65 (step @p97 :rule exists-elim :args ((= @t63 @t78))) % 0.35/0.65 (step @p98 :rule trans :premises (@p97 @p96)) % 0.35/0.65 (step @p99 :rule cong :premises (@p98) :args (@t64)) % 0.35/0.65 (step @p100 :rule trans :premises (@p99 @p83)) % 0.35/0.65 (step @p101 :rule eq_resolve :premises (@p65 @p100)) % 0.35/0.65 (step @p102 :rule and_elim :premises (@p101) :args (1)) % 0.35/0.65 (step @p103 :rule instantiate :premises (@p102) :args (@t79)) % 0.35/0.65 (step @p104 :rule bool-impl-elim :args (@t12 @t11)) % 0.35/0.65 (step @p105 :rule cong :premises (@p104) :args (@t13)) % 0.35/0.65 (step @p106 :rule eq_resolve :premises (@p6 @p105)) % 0.35/0.65 (step @p107 :rule instantiate :premises (@p106) :args ((@list tptp.c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804))) % 0.35/0.65 (step @p108 :rule cnf_or_pos :args (@t81)) % 0.35/0.65 (step @p109 :rule reordering :premises (@p108) :args ((or @t70 @t80 (not @t81)))) % 0.35/0.65 (step @p110 :rule chain_m_resolution :premises (@p109 @p8 @p107) :args (@t80 @t82 (@list @t15 @t81))) % 0.35/0.65 (step @p111 :rule cnf_or_pos :args (@t86)) % 0.35/0.65 (step @p112 :rule reordering :premises (@p111) :args ((or @t85 @t84 (not @t86)))) % 0.35/0.65 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p103) :args (@t84 @t82 (@list @t80 @t86))) % 0.35/0.65 (step @p114 :rule cnf_or_pos :args (@t88)) % 0.35/0.65 (step @p115 :rule reordering :premises (@p114) :args ((or @t83 @t87 @t89))) % 0.35/0.65 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p82) :args (@t89 @t90 (@list @t83 @t68))) % 0.35/0.65 (assume-push @p123 @t91) % 0.35/0.65 (step @p118 :rule instantiate :premises (@p69) :args (@t79)) % 0.35/0.65 (step-pop @p124 :rule scope :premises (@p118)) % 0.35/0.65 (step @p119 :rule process_scope :premises (@p124) :args (@t88)) % 0.35/0.65 (step @p121 :rule implies_elim :premises (@p119)) % 0.35/0.65 (step @p122 false :rule chain_m_resolution :premises (@p121 @p116 @p69) :args (false @t90 (@list @t88 @t91))) % 0.35/0.65 ) % 0.35/0.65 % SZS output end Proof % 0.35/0.65 % cvc5 exiting %------------------------------------------------------------------------------