%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR132^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:13:03 AM UTC 2026 % Result : Theorem 0.35s 0.62s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR132^1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n014.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Mon Jun 1 21:57:43 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.35/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.62 % SZS status Theorem % 0.35/0.62 % SZS output start Proof % 0.35/0.62 ( % 0.35/0.62 (declare-sort $$unsorted 0) % 0.35/0.62 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 0.35/0.62 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.35/0.62 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.35/0.62 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.35/0.62 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 0.35/0.62 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.35/0.62 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.35/0.62 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.35/0.62 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.35/0.62 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.35/0.62 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 0.35/0.62 (define @t1 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.35/0.62 (define @t2 () (_ @t1 tptp.lAnna_THFTYPE_i)) % 0.35/0.62 (define @t3 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.35/0.62 (define @t4 () (_ tptp.holdsDuring_THFTYPE_IiooI @t3)) % 0.35/0.62 (define @t5 () (@var "Y" $$unsorted)) % 0.35/0.62 (define @t6 () (@var "X" $$unsorted)) % 0.35/0.62 (define @t7 () (_ (_ tptp.parent_THFTYPE_IiioI @t6) @t5)) % 0.35/0.62 (define @t8 () (not @t7)) % 0.35/0.62 (define @t9 () (@list @t6 @t5)) % 0.35/0.62 (define @t10 () (exists @t9 @t8)) % 0.35/0.62 (define @t11 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.35/0.62 (define @t12 () (_ (_ tptp.likes_THFTYPE_IiioI @t6) @t5)) % 0.35/0.62 (define @t13 () (not @t12)) % 0.35/0.62 (define @t14 () (exists @t9 @t13)) % 0.35/0.62 (define @t15 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.35/0.62 (define @t16 () (@var "W" $$unsorted)) % 0.35/0.62 (define @t17 () (@var "Z" $$unsorted)) % 0.35/0.62 (define @t18 () (lambda (@list @t17 @t16) true)) % 0.35/0.62 (define @t19 () (@var "Q" (-> $$unsorted $$unsorted Bool))) % 0.35/0.62 (define @t20 () (= @t19 @t18)) % 0.35/0.62 (define @t21 () (not @t20)) % 0.35/0.62 (define @t22 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.35/0.62 (define @t23 () (= @t22 @t18)) % 0.35/0.62 (define @t24 () (not @t23)) % 0.35/0.62 (define @t25 () (_ (_ @t19 @t5) tptp.lAnna_THFTYPE_i)) % 0.35/0.62 (define @t26 () (_ (_ @t22 @t5) tptp.lBill_THFTYPE_i)) % 0.35/0.62 (define @t27 () (and @t26 @t25 @t24 @t21)) % 0.35/0.62 (define @t28 () (@list @t19 @t22 @t5)) % 0.35/0.62 (define @t29 () (exists @t28 (_ @t4 @t27))) % 0.35/0.62 (define @t30 () (not @t29)) % 0.35/0.62 (define @t31 () (@purify @t2)) % 0.35/0.62 (define @t32 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.35/0.62 (define @t33 () (tptp.holdsDuring_THFTYPE_IiooI @t32 @t31)) % 0.35/0.62 (define @t34 () (_ tptp.holdsDuring_THFTYPE_IiooI @t32)) % 0.35/0.62 (define @t35 () (= @t2 @t31)) % 0.35/0.62 (define @t36 () (@var "BOUND_VARIABLE_8501" $$unsorted)) % 0.35/0.62 (define @t37 () (@var "BOUND_VARIABLE_8499" $$unsorted)) % 0.35/0.62 (define @t38 () (lambda (@list @t37 @t36) true)) % 0.35/0.62 (define @t39 () (= @t19 @t38)) % 0.35/0.62 (define @t40 () (not @t39)) % 0.35/0.62 (define @t41 () (= @t22 @t38)) % 0.35/0.62 (define @t42 () (not @t41)) % 0.35/0.62 (define @t43 () (_ @t19 @t5 tptp.lAnna_THFTYPE_i)) % 0.35/0.62 (define @t44 () (_ @t22 @t5 tptp.lBill_THFTYPE_i)) % 0.35/0.62 (define @t45 () (and @t44 @t43 @t42 @t40)) % 0.35/0.62 (define @t46 () (tptp.holdsDuring_THFTYPE_IiooI @t32 @t45)) % 0.35/0.62 (define @t47 () (forall @t28 (not @t46))) % 0.35/0.62 (define @t48 () (and @t26 @t25 @t42 @t40)) % 0.35/0.62 (define @t49 () (_ @t4 @t48)) % 0.35/0.62 (define @t50 () (not @t49)) % 0.35/0.62 (define @t51 () (forall @t28 @t50)) % 0.35/0.62 (define @t52 () (not @t51)) % 0.35/0.62 (define @t53 () (= tptp.parent_THFTYPE_IiioI @t38)) % 0.35/0.62 (define @t54 () (not @t53)) % 0.35/0.62 (define @t55 () (tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lAnna_THFTYPE_i)) % 0.35/0.62 (define @t56 () (tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.35/0.62 (define @t57 () (and @t56 @t55 @t54 @t54)) % 0.35/0.62 (define @t58 () (@purify @t57)) % 0.35/0.62 (define @t59 () (= @t57 @t58)) % 0.35/0.62 (define @t60 () (tptp.holdsDuring_THFTYPE_IiooI @t32 @t57)) % 0.35/0.62 (define @t61 () (not @t60)) % 0.35/0.62 (define @t62 () (tptp.holdsDuring_THFTYPE_IiooI @t32 @t58)) % 0.35/0.62 (define @t63 () (not @t62)) % 0.35/0.62 (define @t64 () (@list false)) % 0.35/0.62 (define @t65 () (@list @t47)) % 0.35/0.62 (define @t66 () (not @t31)) % 0.35/0.62 (define @t67 () (not @t58)) % 0.35/0.62 (define @t68 () (not @t33)) % 0.35/0.62 (define @t69 () (not @t63)) % 0.35/0.62 (define @t70 () (= false true)) % 0.35/0.62 (define @t71 () (and @t33 @t31 @t58 @t63)) % 0.35/0.62 (define @t72 () (= tptp.likes_THFTYPE_IiioI @t38)) % 0.35/0.62 (define @t73 () (not @t72)) % 0.35/0.62 (define @t74 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.35/0.62 (define @t75 () (and @t74 @t55 @t73 @t54)) % 0.35/0.62 (define @t76 () (@purify @t75)) % 0.35/0.62 (define @t77 () (= @t75 @t76)) % 0.35/0.62 (define @t78 () (tptp.holdsDuring_THFTYPE_IiooI @t32 @t75)) % 0.35/0.62 (define @t79 () (not @t78)) % 0.35/0.62 (define @t80 () (tptp.holdsDuring_THFTYPE_IiooI @t32 @t76)) % 0.35/0.62 (define @t81 () (not @t80)) % 0.35/0.62 (define @t82 () (not @t76)) % 0.35/0.62 (define @t83 () (and @t33 @t31 @t76 @t81)) % 0.35/0.62 (define @t84 () (@purify @t38)) % 0.35/0.62 (define @t85 () (= tptp.parent_THFTYPE_IiioI @t84)) % 0.35/0.62 (define @t86 () (not @t85)) % 0.35/0.62 (define @t87 () (= tptp.likes_THFTYPE_IiioI @t84)) % 0.35/0.62 (define @t88 () (not @t87)) % 0.35/0.62 (define @t89 () (and @t74 @t55 @t88 @t86)) % 0.35/0.62 (define @t90 () (@purify @t15)) % 0.35/0.62 (define @t91 () (tptp.holdsDuring_THFTYPE_IiooI @t32 @t90)) % 0.35/0.62 (define @t92 () (= @t15 @t90)) % 0.35/0.62 (define @t93 () (not @t91)) % 0.35/0.62 (define @t94 () (not @t67)) % 0.35/0.62 (define @t95 () (not @t90)) % 0.35/0.62 (define @t96 () (= true false)) % 0.35/0.62 (define @t97 () (and @t63 @t67 @t95 @t91)) % 0.35/0.62 (define @t98 () (tptp.likes_THFTYPE_IiioI @t6 @t5)) % 0.35/0.62 (define @t99 () (forall @t9 @t98)) % 0.35/0.62 (define @t100 () (not @t99)) % 0.35/0.62 (define @t101 () (@purify @t100)) % 0.35/0.62 (define @t102 () (tptp.holdsDuring_THFTYPE_IiooI @t32 @t101)) % 0.35/0.62 (define @t103 () (forall @t9 (not @t13))) % 0.35/0.62 (define @t104 () (not @t103)) % 0.35/0.62 (define @t105 () (not @t102)) % 0.35/0.62 (define @t106 () (not @t101)) % 0.35/0.62 (define @t107 () (and @t63 @t67 @t106 @t102)) % 0.35/0.62 (define @t108 () (tptp.likes_THFTYPE_IiioI (@quantifiers_skolemize @t99 0) (@quantifiers_skolemize @t99 1))) % 0.35/0.62 (define @t109 () (not @t108)) % 0.35/0.62 (define @t110 () (=> @t87 (= @t108 true))) % 0.35/0.62 (define @t111 () (not @t55)) % 0.35/0.62 (define @t112 () (not @t74)) % 0.35/0.62 (define @t113 () (tptp.parent_THFTYPE_IiioI @t6 @t5)) % 0.35/0.62 (define @t114 () (forall @t9 @t113)) % 0.35/0.62 (define @t115 () (tptp.parent_THFTYPE_IiioI (@quantifiers_skolemize @t114 0) (@quantifiers_skolemize @t114 1))) % 0.35/0.62 (define @t116 () (=> @t85 (= @t115 true))) % 0.35/0.62 (define @t117 () (not @t115)) % 0.35/0.62 (define @t118 () (not @t114)) % 0.35/0.62 (define @t119 () (@purify @t118)) % 0.35/0.62 (define @t120 () (tptp.holdsDuring_THFTYPE_IiooI @t32 @t119)) % 0.35/0.62 (define @t121 () (forall @t9 (not @t8))) % 0.35/0.62 (define @t122 () (not @t121)) % 0.35/0.62 (define @t123 () (not @t120)) % 0.35/0.62 (define @t124 () (not @t119)) % 0.35/0.62 (define @t125 () (and @t63 @t67 @t124 @t120)) % 0.35/0.62 (define @t126 () (@list true)) % 0.35/0.62 (define @t127 () (and @t56 @t55 @t86 @t86)) % 0.35/0.62 (define @t128 () (not @t127)) % 0.35/0.62 (define @t129 () (and @t33 @t66 @t67 @t63)) % 0.35/0.62 (assume @p1 (_ @t4 @t2)) % 0.35/0.62 (assume @p2 (_ @t4 @t10)) % 0.35/0.62 (assume @p3 (_ @t4 (_ @t11 tptp.lBen_THFTYPE_i))) % 0.35/0.62 (assume @p4 (_ @t4 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i))) % 0.35/0.62 (assume @p5 (_ @t4 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))) % 0.35/0.62 (assume @p6 (_ @t4 @t14)) % 0.35/0.62 (assume @p7 (_ @t4 @t15)) % 0.35/0.62 (assume @p8 (_ @t4 (_ @t11 tptp.lAnna_THFTYPE_i))) % 0.35/0.62 (assume @p9 (_ @t4 (_ @t1 tptp.lBen_THFTYPE_i))) % 0.35/0.62 (assume @p10 @t30) % 0.35/0.62 (assume @p11 true) % 0.35/0.62 (step @p12 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t31))) % 0.35/0.62 (step @p13 :rule refl :args (@t31)) % 0.35/0.62 (step @p14 :rule refl :args (@t32)) % 0.35/0.62 (step @p15 :rule cong :premises (@p14 @p13) :args (@t33)) % 0.35/0.62 (step @p16 :rule trans :premises (@p15 @p12)) % 0.35/0.62 (step @p17 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.35/0.62 (step @p18 :rule ho_cong :premises (@p17 @p14)) % 0.35/0.62 (step @p19 :rule ho_cong :premises (@p18 @p13)) % 0.35/0.62 (step @p20 :rule cong :premises (@p19 @p16) :args ((= (_ @t34 @t31) @t33))) % 0.35/0.62 (step @p21 :rule symm :premises (@p20)) % 0.35/0.62 (step @p22 :rule refl :args ((_ @t4 @t31))) % 0.35/0.62 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 0.35/0.62 (step @p24 :rule eq-refl :args (@t2)) % 0.35/0.62 (step @p25 :rule skolem_intro :args (@t31)) % 0.35/0.62 (step @p26 :rule refl :args (@t2)) % 0.35/0.62 (step @p27 :rule cong :premises (@p26 @p25) :args (@t35)) % 0.35/0.62 (step @p28 :rule trans :premises (@p27 @p24)) % 0.35/0.62 (step @p29 :rule true_elim :premises (@p28)) % 0.35/0.62 (step @p30 :rule refl :args (@t3)) % 0.35/0.62 (step @p31 :rule cong :premises (@p30 @p14) :args ((= @t3 @t32))) % 0.35/0.62 (step @p32 :rule symm :premises (@p31)) % 0.35/0.62 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.35/0.62 (step @p34 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.35/0.62 (step @p35 :rule ho_cong :premises (@p34 @p33)) % 0.35/0.62 (step @p36 :rule ho_cong :premises (@p35 @p29)) % 0.35/0.62 (step @p37 :rule trans :premises (@p36 @p23)) % 0.35/0.62 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.35/0.62 (step @p39 :rule bool-double-not-elim :args (@t47)) % 0.35/0.62 (step @p40 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t48))) % 0.35/0.62 (step @p41 :rule refl :args (@t38)) % 0.35/0.62 (step @p42 :rule refl :args (@t19)) % 0.35/0.62 (step @p43 :rule cong :premises (@p42 @p41) :args (@t39)) % 0.35/0.62 (step @p44 :rule cong :premises (@p43) :args (@t40)) % 0.35/0.62 (step @p45 :rule refl :args (@t22)) % 0.35/0.62 (step @p46 :rule cong :premises (@p45 @p41) :args (@t41)) % 0.35/0.62 (step @p47 :rule cong :premises (@p46) :args (@t42)) % 0.35/0.62 (step @p48 :rule refl :args (@t43)) % 0.35/0.62 (step @p49 :rule refl :args (@t44)) % 0.35/0.62 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p44) :args (@t45)) % 0.35/0.62 (step @p51 :rule cong :premises (@p14 @p50) :args (@t46)) % 0.35/0.62 (step @p52 :rule trans :premises (@p51 @p40)) % 0.35/0.62 (step @p53 :rule ho_cong :premises (@p18 @p50)) % 0.35/0.62 (step @p54 :rule cong :premises (@p53 @p52) :args ((= (_ @t34 @t45) @t46))) % 0.35/0.62 (step @p55 :rule symm :premises (@p54)) % 0.35/0.62 (step @p56 :rule refl :args ((_ @t4 @t48))) % 0.35/0.62 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.35/0.62 (step @p58 :rule refl :args (@t40)) % 0.35/0.62 (step @p59 :rule refl :args (@t42)) % 0.35/0.62 (step @p60 :rule refl :args (@t25)) % 0.35/0.62 (step @p61 :rule cong :premises (@p60 @p48) :args ((= @t25 @t43))) % 0.35/0.62 (step @p62 :rule symm :premises (@p61)) % 0.35/0.62 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.35/0.62 (step @p64 :rule refl :args (@t26)) % 0.35/0.62 (step @p65 :rule cong :premises (@p64 @p49) :args ((= @t26 @t44))) % 0.35/0.62 (step @p66 :rule symm :premises (@p65)) % 0.35/0.62 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.35/0.62 (step @p68 :rule nary_cong :premises (@p67 @p63 @p59 @p58) :args (@t48)) % 0.35/0.62 (step @p69 :rule eq_resolve :premises (@p30 @p32)) % 0.35/0.62 (step @p70 :rule ho_cong :premises (@p17 @p69)) % 0.35/0.62 (step @p71 :rule ho_cong :premises (@p70 @p68)) % 0.35/0.62 (step @p72 :rule trans :premises (@p71 @p57)) % 0.35/0.62 (step @p73 :rule cong :premises (@p72) :args (@t50)) % 0.35/0.62 (step @p74 :rule cong :premises (@p73) :args (@t51)) % 0.35/0.62 (step @p75 :rule cong :premises (@p74) :args (@t52)) % 0.35/0.62 (step @p76 :rule exists-elim :args ((= (exists @t28 @t49) @t52))) % 0.35/0.62 (step @p77 :rule trans :premises (@p76 @p75)) % 0.35/0.62 (step @p78 :rule symm :premises (@p41)) % 0.35/0.62 (step @p79 :rule alpha_equiv :args (@t18 (@list @t17 @t16) (@list @t37 @t36))) % 0.35/0.62 (step @p80 :rule trans :premises (@p79 @p78)) % 0.35/0.62 (step @p81 :rule refl :args (@t19)) % 0.35/0.62 (step @p82 :rule cong :premises (@p81 @p80) :args (@t20)) % 0.35/0.62 (step @p83 :rule cong :premises (@p82) :args (@t21)) % 0.35/0.62 (step @p84 :rule refl :args (@t22)) % 0.35/0.62 (step @p85 :rule cong :premises (@p84 @p80) :args (@t23)) % 0.35/0.62 (step @p86 :rule cong :premises (@p85) :args (@t24)) % 0.35/0.62 (step @p87 :rule refl :args (@t25)) % 0.35/0.62 (step @p88 :rule refl :args (@t26)) % 0.35/0.62 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86 @p83) :args (@t27)) % 0.35/0.62 (step @p90 :rule refl :args (@t4)) % 0.35/0.62 (step @p91 :rule ho_cong :premises (@p90 @p89)) % 0.35/0.62 (step @p92 :rule cong :premises (@p91) :args (@t29)) % 0.35/0.62 (step @p93 :rule trans :premises (@p92 @p77)) % 0.35/0.62 (step @p94 :rule cong :premises (@p93) :args (@t30)) % 0.35/0.62 (step @p95 :rule trans :premises (@p94 @p39)) % 0.35/0.62 (step @p96 :rule eq_resolve :premises (@p10 @p95)) % 0.35/0.62 (step @p97 :rule eq-refl :args (@t57)) % 0.35/0.62 (step @p98 :rule skolem_intro :args (@t58)) % 0.35/0.62 (step @p99 :rule refl :args (@t57)) % 0.35/0.62 (step @p100 :rule cong :premises (@p99 @p98) :args (@t59)) % 0.35/0.62 (step @p101 :rule trans :premises (@p100 @p97)) % 0.35/0.62 (step @p102 :rule true_elim :premises (@p101)) % 0.35/0.62 (step @p103 :rule refl :args (@t32)) % 0.35/0.62 (step @p104 :rule cong :premises (@p103 @p102) :args (@t60)) % 0.35/0.62 (step @p105 :rule cong :premises (@p104) :args (@t61)) % 0.35/0.62 (step @p106 :rule refl :args (@t47)) % 0.35/0.62 (step @p107 :rule cong :premises (@p106 @p105) :args ((=> @t47 @t61))) % 0.35/0.62 (assume-push @p543 @t47) % 0.35/0.62 (step @p109 :rule instantiate :premises (@p96) :args ((@list tptp.parent_THFTYPE_IiioI tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i))) % 0.35/0.62 (step-pop @p544 :rule scope :premises (@p109)) % 0.35/0.62 (step @p110 :rule process_scope :premises (@p544) :args (@t61)) % 0.35/0.62 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 0.35/0.62 (step @p113 :rule implies_elim :premises (@p112)) % 0.35/0.62 (step @p114 :rule chain_m_resolution :premises (@p113 @p96) :args (@t63 @t64 @t65)) % 0.35/0.62 (step @p115 :rule eq-symm :args (@t55 @t31)) % 0.35/0.62 (step @p116 :rule refl :args (@t31)) % 0.35/0.62 (step @p117 :rule refl :args (@t55)) % 0.35/0.62 (step @p118 :rule refl :args (@t2)) % 0.35/0.62 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t2 @t55))) % 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scope :premises (@p373)) % 0.32/0.62 (step-pop @p608 :rule scope :premises (@p607)) % 0.32/0.62 (step-pop @p609 :rule scope :premises (@p608)) % 0.32/0.62 (step-pop @p610 :rule scope :premises (@p609)) % 0.32/0.62 (step @p374 :rule process_scope :premises (@p610) :args (@t107)) % 0.32/0.62 (step @p379 :rule implies_elim :premises (@p374)) % 0.32/0.62 (step @p380 :rule resolution :premises (@p379 @p364) :args (true @t107)) % 0.32/0.62 (step @p381 :rule not_and :premises (@p380)) % 0.32/0.62 (step @p382 :rule eq_resolve :premises (@p381 @p350)) % 0.32/0.62 (step @p383 :rule reordering :premises (@p382) :args ((or @t101 @t105 @t58 @t62))) % 0.32/0.62 (step @p384 :rule equiv_elim2 :premises (@p330)) % 0.32/0.62 (step @p385 :rule refl :args (@t109)) % 0.32/0.62 (step @p386 :rule bool-double-not-elim :args (@t99)) % 0.32/0.62 (step @p387 :rule nary_cong :premises (@p386 @p385) :args ((or (not @t100) @t109))) % 0.32/0.62 (assume-push @p611 @t100) % 0.32/0.62 (step @p389 :rule skolemize :premises (@p611)) % 0.32/0.62 (step-pop @p612 :rule scope :premises (@p389)) % 0.32/0.62 (step @p390 :rule process_scope :premises (@p612) :args (@t109)) % 0.32/0.62 (step @p392 :rule implies_elim :premises (@p390)) % 0.32/0.62 (step @p393 :rule eq_resolve :premises (@p392 @p387)) % 0.32/0.62 (step @p394 :rule bool-eq-true :args (@t108)) % 0.32/0.62 (step @p395 :rule refl :args (@t87)) % 0.32/0.62 (step @p396 :rule cong :premises (@p395 @p394) :args (@t110)) % 0.32/0.62 ; WARNING: add trust step for TRUST % 0.32/0.62 ; trust TRUST THEORY_LEMMA % 0.32/0.62 (step @p397 :rule trust :premises () :args (@t110)) % 0.32/0.62 (step @p398 :rule eq_resolve :premises (@p397 @p396)) % 0.32/0.62 (step @p399 :rule implies_elim :premises (@p398)) % 0.32/0.62 (step @p400 :rule reordering :premises (@p399) :args ((or @t108 @t88))) % 0.32/0.62 (step @p401 :rule bool-double-not-elim :args (@t85)) % 0.32/0.62 (step @p402 :rule bool-double-not-elim :args (@t87)) % 0.32/0.63 (step @p403 :rule refl :args (@t111)) % 0.32/0.63 (step @p404 :rule refl :args (@t112)) % 0.32/0.63 (step @p405 :rule refl :args (@t89)) % 0.32/0.63 (step @p406 :rule nary_cong :premises (@p405 @p404 @p403 @p402 @p401) :args ((or @t89 @t112 @t111 (not @t88) (not @t86)))) % 0.32/0.63 (step @p407 :rule cnf_and_neg :args (@t89)) % 0.32/0.63 (step @p408 :rule eq_resolve :premises (@p407 @p406)) % 0.32/0.63 (step @p409 :rule reordering :premises (@p408) :args ((or @t111 @t112 @t85 @t87 @t89))) % 0.32/0.63 (step @p410 :rule bool-eq-true :args (@t115)) % 0.32/0.63 (step @p411 :rule refl :args (@t85)) % 0.32/0.63 (step @p412 :rule cong :premises (@p411 @p410) :args (@t116)) % 0.32/0.63 ; trust TRUST THEORY_LEMMA % 0.32/0.63 (step @p413 :rule trust :premises () :args (@t116)) % 0.32/0.63 (step @p414 :rule eq_resolve :premises (@p413 @p412)) % 0.32/0.63 (step @p415 :rule implies_elim :premises (@p414)) % 0.32/0.63 (step @p416 :rule reordering :premises (@p415) :args ((or @t115 @t86))) % 0.32/0.63 (step @p417 :rule refl :args (@t117)) % 0.32/0.63 (step @p418 :rule bool-double-not-elim :args (@t114)) % 0.32/0.63 (step @p419 :rule nary_cong :premises (@p418 @p417) :args ((or (not @t118) @t117))) % 0.32/0.63 (assume-push @p613 @t118) % 0.32/0.63 (step @p421 :rule skolemize :premises (@p613)) % 0.32/0.63 (step-pop @p614 :rule scope :premises (@p421)) % 0.32/0.63 (step @p422 :rule process_scope :premises (@p614) :args (@t117)) % 0.32/0.63 (step @p424 :rule implies_elim :premises (@p422)) % 0.32/0.63 (step @p425 :rule eq_resolve :premises (@p424 @p419)) % 0.32/0.63 (step @p426 :rule skolem_intro :args (@t119)) % 0.32/0.63 (step @p427 :rule symm :premises (@p426)) % 0.32/0.63 (step @p428 :rule equiv_elim2 :premises (@p427)) % 0.32/0.63 (step @p429 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t119))) % 0.32/0.63 (step @p430 :rule refl :args (@t119)) % 0.32/0.63 (step @p431 :rule cong :premises (@p14 @p430) :args (@t120)) % 0.32/0.63 (step @p432 :rule trans :premises (@p431 @p429)) % 0.32/0.63 (step @p433 :rule ho_cong :premises (@p18 @p430)) % 0.32/0.63 (step @p434 :rule cong :premises (@p433 @p432) :args ((= (_ @t34 @t119) @t120))) % 0.32/0.63 (step @p435 :rule symm :premises (@p434)) % 0.32/0.63 (step @p436 :rule refl :args ((_ @t4 @t119))) % 0.32/0.63 (step @p437 :rule eq_resolve :premises (@p436 @p435)) % 0.32/0.63 (step @p438 :rule ho_cong :premises (@p35 @p427)) % 0.32/0.63 (step @p439 :rule trans :premises (@p438 @p437)) % 0.32/0.63 (step @p440 :rule refl :args (@t113)) % 0.32/0.63 (step @p441 :rule refl :args (@t7)) % 0.32/0.63 (step @p442 :rule cong :premises (@p441 @p440) :args ((= @t7 @t113))) % 0.32/0.63 (step @p443 :rule symm :premises (@p442)) % 0.32/0.63 (step @p444 :rule eq_resolve :premises (@p441 @p443)) % 0.32/0.63 (step @p445 :rule cong :premises (@p444) :args ((forall @t9 @t7))) % 0.32/0.63 (step @p446 :rule bool-double-not-elim :args (@t7)) % 0.32/0.63 (step @p447 :rule cong :premises (@p446) :args (@t121)) % 0.32/0.63 (step @p448 :rule trans :premises (@p447 @p445)) % 0.32/0.63 (step @p449 :rule cong :premises (@p448) :args (@t122)) % 0.32/0.63 (step @p450 :rule exists-elim :args ((= @t10 @t122))) % 0.32/0.63 (step @p451 :rule trans :premises (@p450 @p449)) % 0.32/0.63 (step @p452 :rule ho_cong :premises (@p90 @p451)) % 0.32/0.63 (step @p453 :rule trans :premises (@p452 @p439)) % 0.32/0.63 (step @p454 :rule eq_resolve :premises (@p2 @p453)) % 0.32/0.63 (step @p455 :rule bool-double-not-elim :args (@t119)) % 0.32/0.63 (step @p456 :rule refl :args (@t123)) % 0.32/0.63 (step @p457 :rule nary_cong :premises (@p456 @p455 @p129 @p264) :args ((or @t123 (not @t124) @t69 @t94))) % 0.32/0.63 (assume-push @p615 @t63) % 0.32/0.63 (assume-push @p616 @t67) % 0.32/0.63 (assume-push @p617 @t124) % 0.32/0.63 (assume-push @p618 @t120) % 0.32/0.63 (step @p272 :rule evaluate :args (@t96)) % 0.32/0.63 (step @p145 :rule false_intro :premises (@p114)) % 0.32/0.63 (step @p462 :rule false_intro :premises (@p616)) % 0.32/0.63 (step @p463 :rule symm :premises (@p462)) % 0.32/0.63 (step @p464 :rule false_intro :premises (@p617)) % 0.32/0.63 (step @p465 :rule trans :premises (@p464 @p463)) % 0.32/0.63 (step @p466 :rule cong :premises (@p103 @p465) :args (@t120)) % 0.32/0.63 (step @p467 :rule true_intro :premises (@p454)) % 0.32/0.63 (step @p468 :rule symm :premises (@p467)) % 0.32/0.63 (step @p469 :rule trans :premises (@p468 @p466 @p145)) % 0.32/0.63 (step @p470 false :rule eq_resolve :premises (@p469 @p272)) % 0.32/0.63 (step-pop @p619 :rule scope :premises (@p470)) % 0.32/0.63 (step-pop @p620 :rule scope :premises (@p619)) % 0.32/0.63 (step-pop @p621 :rule scope :premises (@p620)) % 0.32/0.63 (step-pop @p622 :rule scope :premises (@p621)) % 0.32/0.63 (step @p471 :rule process_scope :premises (@p622) :args (false)) % 0.32/0.63 (assume-push @p623 @t120) % 0.32/0.63 (assume-push @p624 @t124) % 0.32/0.63 (assume-push @p625 @t63) % 0.32/0.63 (assume-push @p626 @t67) % 0.32/0.63 (step @p480 :rule and_intro :premises (@p114 @p626 @p624 @p454)) % 0.32/0.63 (step-pop @p627 :rule scope :premises (@p480)) % 0.32/0.63 (step-pop @p628 :rule scope :premises (@p627)) % 0.32/0.63 (step-pop @p629 :rule scope :premises (@p628)) % 0.32/0.63 (step-pop @p630 :rule scope :premises (@p629)) % 0.32/0.63 (step @p481 :rule process_scope :premises (@p630) :args (@t125)) % 0.32/0.63 (step @p486 :rule implies_elim :premises (@p481)) % 0.32/0.63 (step @p487 :rule resolution :premises (@p486 @p471) :args (true @t125)) % 0.32/0.63 (step @p488 :rule not_and :premises (@p487)) % 0.32/0.63 (step @p489 :rule eq_resolve :premises (@p488 @p457)) % 0.32/0.63 (step @p490 :rule reordering :premises (@p489) :args ((or @t119 @t123 @t58 @t62))) % 0.32/0.63 (step @p491 :rule chain_m_resolution :premises (@p490 @p114 @p454 @p428 @p425 @p416 @p409 @p400 @p393 @p384 @p383 @p114 @p347 @p315 @p301 @p114 @p263 @p245 @p220 @p184 @p38 @p168 @p114 @p38 @p128) :args (@t66 (@list true false true false false false true true true false true false false false true false true true true false true true false false) (@list @t62 @t120 @t119 @t114 @t115 @t85 @t87 @t108 @t99 @t101 @t62 @t102 @t74 @t90 @t62 @t91 @t89 @t76 @t80 @t33 @t58 @t62 @t33 @t55))) % 0.32/0.63 (step @p492 :rule equiv_elim2 :premises (@p126)) % 0.32/0.63 (step @p493 :rule chain_m_resolution :premises (@p492 @p491) :args (@t111 @t126 (@list @t31))) % 0.32/0.63 (step @p494 :rule cnf_and_pos :args (@t127 1)) % 0.32/0.63 (step @p495 :rule reordering :premises (@p494) :args ((or @t55 @t128))) % 0.32/0.63 (step @p496 :rule chain_m_resolution :premises (@p495 @p493) :args (@t128 @t126 (@list @t55))) % 0.32/0.63 (step @p497 :rule eq-symm :args (@t127 @t58)) % 0.32/0.63 (step @p498 :rule refl :args (@t58)) % 0.32/0.63 (step @p499 :rule refl :args (@t56)) % 0.32/0.63 (step @p500 :rule nary_cong :premises (@p499 @p237 @p233 @p233) :args (@t57)) % 0.32/0.63 (step @p501 :rule cong :premises (@p500 @p498) :args (@t59)) % 0.32/0.63 (step @p502 :rule trans :premises (@p501 @p497)) % 0.32/0.63 (step @p503 :rule eq-symm :args (@t58 @t57)) % 0.32/0.63 (step @p504 :rule trans :premises (@p503 @p502)) % 0.32/0.63 (step @p505 :rule eq_resolve :premises (@p98 @p504)) % 0.32/0.63 (step @p506 :rule equiv_elim1 :premises (@p505)) % 0.32/0.63 (step @p507 :rule reordering :premises (@p506) :args ((or @t127 @t67))) % 0.32/0.63 (step @p508 :rule chain_m_resolution :premises (@p507 @p496) :args (@t67 @t126 (@list @t127))) % 0.32/0.63 (step @p509 :rule bool-double-not-elim :args (@t31)) % 0.32/0.63 (step @p510 :rule nary_cong :premises (@p131 @p509 @p129 @p264) :args ((or @t68 (not @t66) @t69 @t94))) % 0.32/0.63 (assume-push @p631 @t33) % 0.32/0.63 (assume-push @p632 @t66) % 0.32/0.63 (assume-push @p633 @t67) % 0.32/0.63 (assume-push @p634 @t63) % 0.32/0.63 (step @p138 :rule evaluate :args (@t70)) % 0.32/0.63 (step @p139 :rule true_intro :premises (@p38)) % 0.32/0.63 (step @p515 :rule false_intro :premises (@p632)) % 0.32/0.63 (step @p516 :rule symm :premises (@p515)) % 0.32/0.63 (step @p517 :rule false_intro :premises (@p633)) % 0.32/0.63 (step @p518 :rule trans :premises (@p517 @p516)) % 0.32/0.63 (step @p519 :rule cong :premises (@p103 @p518) :args (@t62)) % 0.32/0.63 (step @p145 :rule false_intro :premises (@p114)) % 0.32/0.63 (step @p146 :rule symm :premises (@p145)) % 0.32/0.63 (step @p520 :rule trans :premises (@p146 @p519 @p139)) % 0.32/0.63 (step @p521 false :rule eq_resolve :premises (@p520 @p138)) % 0.32/0.63 (step-pop @p635 :rule scope :premises (@p521)) % 0.32/0.63 (step-pop @p636 :rule scope :premises (@p635)) % 0.32/0.63 (step-pop @p637 :rule scope :premises (@p636)) % 0.32/0.63 (step-pop @p638 :rule scope :premises (@p637)) % 0.32/0.63 (step @p522 :rule process_scope :premises (@p638) :args (false)) % 0.32/0.63 (assume-push @p639 @t33) % 0.32/0.63 (assume-push @p640 @t66) % 0.32/0.63 (assume-push @p641 @t63) % 0.32/0.63 (assume-push @p642 @t67) % 0.32/0.63 (step @p531 :rule and_intro :premises (@p38 @p640 @p642 @p114)) % 0.32/0.63 (step-pop @p643 :rule scope :premises (@p531)) % 0.32/0.63 (step-pop @p644 :rule scope :premises (@p643)) % 0.32/0.63 (step-pop @p645 :rule scope :premises (@p644)) % 0.32/0.63 (step-pop @p646 :rule scope :premises (@p645)) % 0.32/0.63 (step @p532 :rule process_scope :premises (@p646) :args (@t129)) % 0.32/0.63 (step @p537 :rule implies_elim :premises (@p532)) % 0.32/0.63 (step @p538 :rule resolution :premises (@p537 @p522) :args (true @t129)) % 0.32/0.63 (step @p539 :rule not_and :premises (@p538)) % 0.32/0.63 (step @p540 :rule eq_resolve :premises (@p539 @p510)) % 0.32/0.63 (step @p541 :rule reordering :premises (@p540) :args ((or @t31 @t68 @t58 @t62))) % 0.32/0.63 (step @p542 false :rule chain_m_resolution :premises (@p541 @p508 @p491 @p114 @p38) :args (false (@list true true true false) (@list @t58 @t31 @t62 @t33))) % 0.32/0.63 ) % 0.32/0.63 % SZS output end Proof % 0.32/0.63 % cvc5 exiting %------------------------------------------------------------------------------