%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR146^3 : 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 : n002.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 08:13:07 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR146^3 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n002.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 21:58:48 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.38/0.59 (declare-const tptp.lCorina_THFTYPE_i $$unsorted) % 0.38/0.59 (declare-const tptp.lChris_THFTYPE_i $$unsorted) % 0.38/0.59 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.38/0.59 (declare-const tptp.inverse_THFTYPE_IIiioIIiioIoI (-> (-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool) Bool)) % 0.38/0.59 (declare-const tptp.husband_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.wife_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI) tptp.wife_THFTYPE_IiioI)) % 0.38/0.59 (define @t2 () (@var "INST1" $$unsorted)) % 0.38/0.59 (define @t3 () (@var "INST2" $$unsorted)) % 0.38/0.59 (define @t4 () (@var "REL2" (-> $$unsorted $$unsorted Bool))) % 0.38/0.59 (define @t5 () (_ (_ @t4 @t3) @t2)) % 0.38/0.59 (define @t6 () (@var "REL1" (-> $$unsorted $$unsorted Bool))) % 0.38/0.59 (define @t7 () (_ (_ @t6 @t2) @t3)) % 0.38/0.59 (define @t8 () (= @t7 @t5)) % 0.38/0.59 (define @t9 () (@list @t2 @t3)) % 0.38/0.59 (define @t10 () (forall @t9 @t8)) % 0.38/0.59 (define @t11 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI @t6) @t4)) % 0.38/0.59 (define @t12 () (=> @t11 @t10)) % 0.38/0.59 (define @t13 () (@list @t4 @t6)) % 0.38/0.59 (define @t14 () (forall @t13 @t12)) % 0.38/0.59 (define @t15 () (@var "Z" $$unsorted)) % 0.38/0.59 (define @t16 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t17 () (_ (_ tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i) @t16)) % 0.38/0.59 (define @t18 () (not @t17)) % 0.38/0.59 (define @t19 () (@list @t16)) % 0.38/0.59 (define @t20 () (exists @t19 @t18)) % 0.38/0.59 (define @t21 () (_ (_ tptp.wife_THFTYPE_IiioI tptp.lCorina_THFTYPE_i) tptp.lChris_THFTYPE_i)) % 0.38/0.59 (define @t22 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.38/0.59 (define @t23 () (_ tptp.holdsDuring_THFTYPE_IiooI @t22)) % 0.38/0.59 (define @t24 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t25 () (lambda (@list @t16 @t24) true)) % 0.38/0.59 (define @t26 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.38/0.59 (define @t27 () (= @t26 @t25)) % 0.38/0.59 (define @t28 () (not @t27)) % 0.38/0.59 (define @t29 () (_ (_ @t26 tptp.lChris_THFTYPE_i) tptp.lCorina_THFTYPE_i)) % 0.38/0.59 (define @t30 () (_ @t23 @t29)) % 0.38/0.59 (define @t31 () (and @t30 @t28)) % 0.38/0.59 (define @t32 () (@list @t26)) % 0.38/0.59 (define @t33 () (exists @t32 @t31)) % 0.38/0.59 (define @t34 () (not @t33)) % 0.38/0.59 (define @t35 () (@var "BOUND_VARIABLE_7482" $$unsorted)) % 0.38/0.59 (define @t36 () (@var "BOUND_VARIABLE_7484" $$unsorted)) % 0.38/0.59 (define @t37 () (= (_ @t6 @t35 @t36) (_ @t4 @t36 @t35))) % 0.38/0.59 (define @t38 () (tptp.inverse_THFTYPE_IIiioIIiioIoI @t6 @t4)) % 0.38/0.59 (define @t39 () (not @t38)) % 0.38/0.59 (define @t40 () (or @t39 @t37)) % 0.38/0.59 (define @t41 () (forall (@list @t4 @t6 @t35 @t36) @t40)) % 0.38/0.59 (define @t42 () (@list @t35 @t36)) % 0.38/0.59 (define @t43 () (forall @t42 @t40)) % 0.38/0.59 (define @t44 () (forall @t42 @t37)) % 0.38/0.59 (define @t45 () (or @t39 @t44)) % 0.38/0.59 (define @t46 () (_ @t4 @t3 @t2)) % 0.38/0.59 (define @t47 () (_ @t6 @t2 @t3)) % 0.38/0.59 (define @t48 () (forall @t9 (= @t47 @t46))) % 0.38/0.59 (define @t49 () (not @t11)) % 0.38/0.59 (define @t50 () (or @t49 @t48)) % 0.38/0.59 (define @t51 () (tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i)) % 0.38/0.59 (define @t52 () (tptp.wife_THFTYPE_IiioI tptp.lCorina_THFTYPE_i tptp.lChris_THFTYPE_i)) % 0.38/0.59 (define @t53 () (tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI tptp.wife_THFTYPE_IiioI)) % 0.38/0.59 (define @t54 () (not @t53)) % 0.38/0.59 (define @t55 () (or @t54 (= @t51 @t52))) % 0.38/0.59 (define @t56 () (= @t52 @t51)) % 0.38/0.59 (define @t57 () (or @t54 @t56)) % 0.38/0.59 (define @t58 () (@list false)) % 0.38/0.59 (define @t59 () (@list false false)) % 0.38/0.59 (define @t60 () (@purify @t21)) % 0.38/0.59 (define @t61 () (= @t21 @t60)) % 0.38/0.59 (define @t62 () (not @t60)) % 0.38/0.59 (define @t63 () (not @t56)) % 0.38/0.59 (define @t64 () (not @t52)) % 0.38/0.59 (define @t65 () (@purify @t51)) % 0.38/0.59 (define @t66 () (tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i @t16)) % 0.38/0.59 (define @t67 () (forall @t19 (not @t18))) % 0.38/0.59 (define @t68 () (not @t67)) % 0.38/0.59 (define @t69 () (tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i (@quantifiers_skolemize (forall @t19 @t66) 0))) % 0.38/0.59 (define @t70 () (= @t69 @t51)) % 0.38/0.59 (define @t71 () (not @t51)) % 0.38/0.59 (define @t72 () (@var "BOUND_VARIABLE_7727" $$unsorted)) % 0.38/0.59 (define @t73 () (@list @t72 (@var "BOUND_VARIABLE_7728" $$unsorted))) % 0.38/0.59 (define @t74 () (lambda @t73 (tptp.husband_THFTYPE_IiioI @t72 tptp.lCorina_THFTYPE_i))) % 0.38/0.59 (define @t75 () (@purify @t74)) % 0.38/0.59 (define @t76 () (= tptp.husband_THFTYPE_IiioI @t75)) % 0.38/0.59 (define @t77 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.38/0.59 (define @t78 () (tptp.holdsDuring_THFTYPE_IiooI @t77 @t60)) % 0.38/0.59 (define @t79 () (_ tptp.holdsDuring_THFTYPE_IiooI @t77)) % 0.38/0.59 (define @t80 () (tptp.holdsDuring_THFTYPE_IiooI @t77 @t65)) % 0.38/0.59 (define @t81 () (and @t60 @t78 @t65)) % 0.38/0.59 (define @t82 () (not @t65)) % 0.38/0.59 (define @t83 () (not @t78)) % 0.38/0.59 (define @t84 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 0.38/0.59 (define @t85 () (@var "BOUND_VARIABLE_7927" $$unsorted)) % 0.38/0.59 (define @t86 () (@list @t85 @t84)) % 0.38/0.59 (define @t87 () (lambda @t86 true)) % 0.38/0.59 (define @t88 () (= @t26 @t87)) % 0.38/0.59 (define @t89 () (_ @t26 tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i)) % 0.38/0.59 (define @t90 () (tptp.holdsDuring_THFTYPE_IiooI @t77 @t89)) % 0.38/0.59 (define @t91 () (forall @t32 (or (not @t90) @t88))) % 0.38/0.59 (define @t92 () (not @t30)) % 0.38/0.59 (define @t93 () (or @t92 @t88)) % 0.38/0.59 (define @t94 () (not @t88)) % 0.38/0.59 (define @t95 () (and @t30 @t94)) % 0.38/0.59 (define @t96 () (forall @t32 (not @t95))) % 0.38/0.59 (define @t97 () (not @t96)) % 0.38/0.59 (define @t98 () (@purify @t87)) % 0.38/0.59 (define @t99 () (= tptp.husband_THFTYPE_IiioI @t87)) % 0.38/0.59 (define @t100 () (tptp.holdsDuring_THFTYPE_IiooI @t77 @t51)) % 0.38/0.59 (define @t101 () (not @t100)) % 0.38/0.59 (define @t102 () (or @t101 @t99)) % 0.38/0.59 (define @t103 () (= tptp.husband_THFTYPE_IiioI @t98)) % 0.38/0.59 (define @t104 () (not @t80)) % 0.38/0.59 (define @t105 () (or @t104 @t103)) % 0.38/0.59 (define @t106 () (@list @t91)) % 0.38/0.59 (define @t107 () (= @t87 @t74)) % 0.38/0.59 (define @t108 () (or @t101 @t107)) % 0.38/0.59 (define @t109 () (_ @t74 tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i)) % 0.38/0.59 (define @t110 () (tptp.holdsDuring_THFTYPE_IiooI @t77 @t109)) % 0.38/0.59 (define @t111 () (not @t110)) % 0.38/0.59 (define @t112 () (or @t111 (= @t74 @t87))) % 0.38/0.59 (define @t113 () (= @t98 @t75)) % 0.38/0.59 (define @t114 () (or @t104 @t113)) % 0.38/0.59 (define @t115 () (not @t113)) % 0.38/0.59 (define @t116 () (not @t103)) % 0.38/0.59 (define @t117 () (not @t76)) % 0.38/0.59 (define @t118 () (and @t103 @t117)) % 0.38/0.59 (define @t119 () (@list true)) % 0.38/0.59 (define @t120 () (lambda @t73 @t51)) % 0.38/0.59 (define @t121 () (lambda @t73 @t65)) % 0.38/0.59 (define @t122 () (@purify @t121)) % 0.38/0.59 (define @t123 () (= @t87 @t120)) % 0.38/0.59 (define @t124 () (or @t101 @t123)) % 0.38/0.59 (define @t125 () (_ @t120 tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i)) % 0.38/0.59 (define @t126 () (tptp.holdsDuring_THFTYPE_IiooI @t77 @t125)) % 0.38/0.59 (define @t127 () (not @t126)) % 0.38/0.59 (define @t128 () (or @t127 (= @t120 @t87))) % 0.38/0.59 (define @t129 () (= @t98 @t122)) % 0.38/0.59 (define @t130 () (or @t104 @t129)) % 0.38/0.59 (define @t131 () (and @t78 @t62 @t82)) % 0.38/0.59 (define @t132 () (forall @t86 (= true @t65))) % 0.38/0.59 (define @t133 () (=> @t129 @t132)) % 0.38/0.59 (assume @p1 @t1) % 0.38/0.59 (assume @p2 @t14) % 0.38/0.59 (assume @p3 (forall (@list @t15) (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t15) true))) % 0.38/0.59 (assume @p4 @t20) % 0.38/0.59 (assume @p5 (_ @t23 @t21)) % 0.38/0.59 (assume @p6 @t34) % 0.38/0.59 (assume @p7 true) % 0.38/0.59 (step @p8 :rule quant-merge-prenex :args ((= (forall @t13 @t43) @t41))) % 0.38/0.59 (step @p9 :rule alpha_equiv :args (@t44 (@list @t35 @t36) (@list @t2 @t3))) % 0.38/0.59 (step @p10 :rule refl :args (@t39)) % 0.38/0.59 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t45)) % 0.38/0.59 (step @p12 :rule quant-miniscope-or :args ((= @t43 @t45))) % 0.38/0.59 (step @p13 :rule trans :premises (@p12 @p11)) % 0.38/0.59 (step @p14 :rule symm :premises (@p13)) % 0.38/0.59 (step @p15 :rule cong :premises (@p14) :args ((forall @t13 (or @t39 @t48)))) % 0.38/0.59 (step @p16 :rule trans :premises (@p15 @p8)) % 0.38/0.59 (step @p17 :rule refl :args (@t48)) % 0.38/0.59 (step @p18 :rule refl :args (@t38)) % 0.38/0.59 (step @p19 :rule refl :args (@t11)) % 0.38/0.59 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t11 @t38))) % 0.38/0.59 (step @p21 :rule symm :premises (@p20)) % 0.38/0.59 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.38/0.59 (step @p23 :rule cong :premises (@p22) :args (@t49)) % 0.38/0.59 (step @p24 :rule nary_cong :premises (@p23 @p17) :args (@t50)) % 0.38/0.59 (step @p25 :rule cong :premises (@p24) :args ((forall @t13 @t50))) % 0.38/0.59 (step @p26 :rule trans :premises (@p25 @p16)) % 0.38/0.59 (step @p27 :rule bool-impl-elim :args (@t11 @t48)) % 0.38/0.59 (step @p28 :rule cong :premises (@p27) :args ((forall @t13 (=> @t11 @t48)))) % 0.38/0.59 (step @p29 :rule trans :premises (@p28 @p26)) % 0.38/0.59 (step @p30 :rule refl :args (@t46)) % 0.38/0.59 (step @p31 :rule refl :args (@t5)) % 0.38/0.59 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t5 @t46))) % 0.38/0.59 (step @p33 :rule symm :premises (@p32)) % 0.38/0.59 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.59 (step @p35 :rule refl :args (@t47)) % 0.38/0.59 (step @p36 :rule refl :args (@t7)) % 0.38/0.59 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t7 @t47))) % 0.38/0.59 (step @p38 :rule symm :premises (@p37)) % 0.38/0.59 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.38/0.59 (step @p40 :rule cong :premises (@p39 @p34) :args (@t8)) % 0.38/0.59 (step @p41 :rule cong :premises (@p40) :args (@t10)) % 0.38/0.59 (step @p42 :rule refl :args (@t11)) % 0.38/0.59 (step @p43 :rule cong :premises (@p42 @p41) :args (@t12)) % 0.38/0.59 (step @p44 :rule cong :premises (@p43) :args (@t14)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p29)) % 0.38/0.59 (step @p46 :rule eq_resolve :premises (@p2 @p45)) % 0.38/0.59 (step @p47 :rule eq-symm :args (@t51 @t52)) % 0.38/0.59 (step @p48 :rule refl :args (@t54)) % 0.38/0.59 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t55)) % 0.38/0.59 (step @p50 :rule refl :args (@t41)) % 0.38/0.59 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t41 @t55))) % 0.38/0.59 (assume-push @p366 @t41) % 0.38/0.59 (step @p53 :rule instantiate :premises (@p46) :args ((@list tptp.wife_THFTYPE_IiioI tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i))) % 0.38/0.59 (step-pop @p367 :rule scope :premises (@p53)) % 0.38/0.59 (step @p54 :rule process_scope :premises (@p367) :args (@t55)) % 0.38/0.59 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 0.38/0.59 (step @p57 :rule implies_elim :premises (@p56)) % 0.38/0.59 (step @p58 :rule chain_m_resolution :premises (@p57 @p46) :args (@t57 @t58 (@list @t41))) % 0.38/0.59 (step @p59 :rule refl :args (@t53)) % 0.38/0.59 (step @p60 :rule refl :args (@t1)) % 0.38/0.59 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t1 @t53))) % 0.38/0.59 (step @p62 :rule symm :premises (@p61)) % 0.38/0.59 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.38/0.59 (step @p64 :rule eq_resolve :premises (@p1 @p63)) % 0.38/0.59 (step @p65 :rule cnf_or_pos :args (@t57)) % 0.38/0.59 (step @p66 :rule reordering :premises (@p65) :args ((or @t54 @t56 (not @t57)))) % 0.38/0.59 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p58) :args (@t56 @t59 (@list @t53 @t57))) % 0.38/0.59 (step @p68 :rule eq-symm :args (@t52 @t60)) % 0.38/0.59 (step @p69 :rule refl :args (@t60)) % 0.38/0.59 (step @p70 :rule refl :args (@t52)) % 0.38/0.59 (step @p71 :rule refl :args (@t21)) % 0.38/0.59 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t21 @t52))) % 0.38/0.59 (step @p73 :rule symm :premises (@p72)) % 0.38/0.59 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.38/0.59 (step @p75 :rule cong :premises (@p74 @p69) :args (@t61)) % 0.38/0.59 (step @p76 :rule trans :premises (@p75 @p68)) % 0.38/0.59 (step @p77 :rule eq-symm :args (@t60 @t21)) % 0.38/0.59 (step @p78 :rule trans :premises (@p77 @p76)) % 0.38/0.59 (step @p79 :rule skolem_intro :args (@t60)) % 0.38/0.59 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.38/0.59 (step @p81 :rule equiv_elim1 :premises (@p80)) % 0.38/0.59 (step @p82 :rule reordering :premises (@p81) :args ((or @t52 @t62))) % 0.38/0.59 (step @p83 :rule cnf_equiv_pos1 :args (@t56)) % 0.38/0.59 (step @p84 :rule reordering :premises (@p83) :args ((or @t64 @t51 @t63))) % 0.38/0.59 (step @p85 :rule skolem_intro :args (@t65)) % 0.38/0.59 (step @p86 :rule symm :premises (@p85)) % 0.38/0.59 (step @p87 :rule equiv_elim1 :premises (@p86)) % 0.38/0.59 (step @p88 :rule refl :args (@t66)) % 0.38/0.59 (step @p89 :rule refl :args (@t17)) % 0.38/0.59 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t17 @t66))) % 0.38/0.59 (step @p91 :rule symm :premises (@p90)) % 0.38/0.59 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 0.38/0.59 (step @p93 :rule cong :premises (@p92) :args ((forall @t19 @t17))) % 0.38/0.59 (step @p94 :rule bool-double-not-elim :args (@t17)) % 0.38/0.59 (step @p95 :rule cong :premises (@p94) :args (@t67)) % 0.38/0.59 (step @p96 :rule trans :premises (@p95 @p93)) % 0.38/0.59 (step @p97 :rule cong :premises (@p96) :args (@t68)) % 0.38/0.59 (step @p98 :rule exists-elim :args ((= @t20 @t68))) % 0.38/0.59 (step @p99 :rule trans :premises (@p98 @p97)) % 0.38/0.59 (step @p100 :rule eq_resolve :premises (@p4 @p99)) % 0.38/0.59 (step @p101 :rule skolemize :premises (@p100)) % 0.38/0.59 (step @p102 :rule cnf_equiv_pos2 :args (@t70)) % 0.38/0.59 (step @p103 :rule reordering :premises (@p102) :args ((or @t69 @t71 (not @t70)))) % 0.38/0.59 ; WARNING: add trust step for TRUST % 0.38/0.59 ; trust TRUST THEORY_LEMMA % 0.38/0.59 (step @p104 :rule trust :premises () :args ((=> @t76 @t70))) % 0.38/0.59 (step @p105 :rule implies_elim :premises (@p104)) % 0.38/0.59 (step @p106 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t22 @t60))) % 0.38/0.59 (step @p107 :rule refl :args (@t60)) % 0.38/0.59 (step @p108 :rule refl :args (@t77)) % 0.38/0.59 (step @p109 :rule cong :premises (@p108 @p107) :args (@t78)) % 0.38/0.59 (step @p110 :rule trans :premises (@p109 @p106)) % 0.38/0.59 (step @p111 :rule refl :args 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0.38/0.59 (step @p320 :rule nary_cong :premises (@p319 @p318 @p317 @p316) :args ((or @t83 (not @t62) (not @t82) @t80))) % 0.38/0.59 (assume-push @p394 @t78) % 0.38/0.59 (assume-push @p395 @t62) % 0.38/0.59 (assume-push @p396 @t82) % 0.38/0.59 (assume-push @p397 @t78) % 0.38/0.59 (assume-push @p398 @t62) % 0.38/0.59 (assume-push @p399 @t82) % 0.38/0.59 (step @p138 :rule true_intro :premises (@p131)) % 0.38/0.59 (step @p327 :rule false_intro :premises (@p395)) % 0.38/0.59 (step @p328 :rule symm :premises (@p327)) % 0.38/0.59 (step @p329 :rule false_intro :premises (@p396)) % 0.38/0.59 (step @p330 :rule trans :premises (@p329 @p328)) % 0.38/0.59 (step @p331 :rule cong :premises (@p143 @p330) :args (@t80)) % 0.38/0.59 (step @p332 :rule trans :premises (@p331 @p138)) % 0.38/0.59 (step @p333 :rule true_elim :premises (@p332)) % 0.38/0.59 (step-pop @p400 :rule scope :premises (@p333)) % 0.38/0.59 (step-pop @p401 :rule scope :premises (@p400)) % 0.38/0.59 (step-pop @p402 :rule scope :premises (@p401)) % 0.38/0.59 (step @p334 :rule process_scope :premises (@p402) :args (@t80)) % 0.38/0.59 (step @p338 :rule and_intro :premises (@p131 @p395 @p396)) % 0.38/0.59 (step @p339 :rule modus_ponens :premises (@p338 @p334)) % 0.38/0.59 (step-pop @p403 :rule scope :premises (@p339)) % 0.38/0.59 (step-pop @p404 :rule scope :premises (@p403)) % 0.38/0.59 (step-pop @p405 :rule scope :premises (@p404)) % 0.38/0.59 (step @p340 :rule process_scope :premises (@p405) :args (@t80)) % 0.38/0.59 (step @p344 :rule implies_elim :premises (@p340)) % 0.38/0.59 (step @p345 :rule cnf_and_neg :args (@t131)) % 0.38/0.59 (step @p346 :rule resolution :premises (@p345 @p344) :args (true @t131)) % 0.38/0.59 (step @p347 :rule eq_resolve :premises (@p346 @p320)) % 0.38/0.59 (step @p348 :rule reordering :premises (@p347) :args ((or @t60 @t83 @t65 @t80))) % 0.38/0.59 (step @p349 :rule chain_m_resolution :premises (@p348 @p283 @p131 @p290) :args (@t80 (@list true false true) (@list @t60 @t78 @t65))) % 0.38/0.59 (step @p350 :rule cnf_or_pos :args (@t130)) % 0.38/0.59 (step @p351 :rule reordering :premises (@p350) :args ((or @t104 @t129 (not @t130)))) % 0.38/0.59 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p315) :args (@t129 @t59 (@list @t80 @t130))) % 0.38/0.59 (step @p353 :rule quant-unused-vars :args ((= (forall @t86 @t65) @t65))) % 0.38/0.59 (step @p354 :rule bool-eq-true :args (@t65)) % 0.38/0.59 (step @p355 :rule eq-symm :args (true @t65)) % 0.38/0.59 (step @p356 :rule trans :premises (@p355 @p354)) % 0.38/0.59 (step @p357 :rule cong :premises (@p356) :args (@t132)) % 0.38/0.59 (step @p358 :rule trans :premises (@p357 @p353)) % 0.38/0.59 (step @p359 :rule refl :args (@t129)) % 0.38/0.59 (step @p360 :rule cong :premises (@p359 @p358) :args (@t133)) % 0.38/0.59 ; trust TRUST THEORY_LEMMA % 0.38/0.59 (step @p361 :rule trust :premises () :args (@t133)) % 0.38/0.59 (step @p362 :rule eq_resolve :premises (@p361 @p360)) % 0.38/0.59 (step @p363 :rule implies_elim :premises (@p362)) % 0.38/0.59 (step @p364 :rule reordering :premises (@p363) :args ((or @t65 (not @t129)))) % 0.38/0.59 (step @p365 false :rule chain_m_resolution :premises (@p364 @p352 @p290) :args (false (@list false true) (@list @t129 @t65))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------