%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR146^1 : 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 : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:13:07 AM UTC 2026 % Result : Theorem 0.35s 0.59s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR146^1 : 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 % 0.14/0.33 % Computer : n028.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Mon Jun 1 21:58:35 EDT 2026 % 0.14/0.33 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.35/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.59 % SZS status Theorem % 0.35/0.59 % SZS output start Proof % 0.35/0.59 ( % 0.35/0.59 (declare-sort $$unsorted 0) % 0.35/0.59 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.35/0.59 (declare-const tptp.lCorina_THFTYPE_i $$unsorted) % 0.35/0.59 (declare-const tptp.lChris_THFTYPE_i $$unsorted) % 0.35/0.59 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.35/0.59 (declare-const tptp.inverse_THFTYPE_IIiioIIiioIoI (-> (-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool) Bool)) % 0.35/0.59 (declare-const tptp.husband_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.wife_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.35/0.59 (define @t1 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI) tptp.wife_THFTYPE_IiioI)) % 0.35/0.59 (define @t2 () (@var "INST1" $$unsorted)) % 0.35/0.59 (define @t3 () (@var "INST2" $$unsorted)) % 0.35/0.59 (define @t4 () (@var "REL2" (-> $$unsorted $$unsorted Bool))) % 0.35/0.59 (define @t5 () (_ (_ @t4 @t3) @t2)) % 0.35/0.59 (define @t6 () (@var "REL1" (-> $$unsorted $$unsorted Bool))) % 0.35/0.59 (define @t7 () (_ (_ @t6 @t2) @t3)) % 0.35/0.59 (define @t8 () (= @t7 @t5)) % 0.35/0.59 (define @t9 () (@list @t2 @t3)) % 0.35/0.59 (define @t10 () (forall @t9 @t8)) % 0.35/0.59 (define @t11 () (_ (_ tptp.inverse_THFTYPE_IIiioIIiioIoI @t6) @t4)) % 0.35/0.59 (define @t12 () (=> @t11 @t10)) % 0.35/0.59 (define @t13 () (@list @t4 @t6)) % 0.35/0.59 (define @t14 () (forall @t13 @t12)) % 0.35/0.59 (define @t15 () (@var "Z" $$unsorted)) % 0.35/0.59 (define @t16 () (@var "X" $$unsorted)) % 0.35/0.59 (define @t17 () (_ (_ tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i) @t16)) % 0.35/0.59 (define @t18 () (not @t17)) % 0.35/0.59 (define @t19 () (@list @t16)) % 0.35/0.59 (define @t20 () (exists @t19 @t18)) % 0.35/0.59 (define @t21 () (_ (_ tptp.wife_THFTYPE_IiioI tptp.lCorina_THFTYPE_i) tptp.lChris_THFTYPE_i)) % 0.35/0.59 (define @t22 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.35/0.59 (define @t23 () (_ tptp.holdsDuring_THFTYPE_IiooI @t22)) % 0.35/0.59 (define @t24 () (@var "Y" $$unsorted)) % 0.35/0.59 (define @t25 () (lambda (@list @t16 @t24) true)) % 0.35/0.59 (define @t26 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.35/0.59 (define @t27 () (= @t26 @t25)) % 0.35/0.59 (define @t28 () (not @t27)) % 0.35/0.59 (define @t29 () (_ (_ @t26 tptp.lChris_THFTYPE_i) tptp.lCorina_THFTYPE_i)) % 0.35/0.59 (define @t30 () (_ @t23 @t29)) % 0.35/0.59 (define @t31 () (and @t30 @t28)) % 0.35/0.59 (define @t32 () (@list @t26)) % 0.35/0.59 (define @t33 () (exists @t32 @t31)) % 0.35/0.59 (define @t34 () (not @t33)) % 0.35/0.59 (define @t35 () (@purify @t21)) % 0.35/0.59 (define @t36 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.35/0.59 (define @t37 () (tptp.holdsDuring_THFTYPE_IiooI @t36 @t35)) % 0.35/0.59 (define @t38 () (_ tptp.holdsDuring_THFTYPE_IiooI @t36)) % 0.35/0.59 (define @t39 () (= @t21 @t35)) % 0.35/0.59 (define @t40 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 0.35/0.59 (define @t41 () (@var "BOUND_VARIABLE_7927" $$unsorted)) % 0.35/0.59 (define @t42 () (lambda (@list @t41 @t40) true)) % 0.35/0.59 (define @t43 () (= @t26 @t42)) % 0.35/0.59 (define @t44 () (_ @t26 tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i)) % 0.35/0.59 (define @t45 () (tptp.holdsDuring_THFTYPE_IiooI @t36 @t44)) % 0.35/0.59 (define @t46 () (forall @t32 (or (not @t45) @t43))) % 0.35/0.59 (define @t47 () (not @t30)) % 0.35/0.59 (define @t48 () (or @t47 @t43)) % 0.35/0.59 (define @t49 () (not @t43)) % 0.35/0.59 (define @t50 () (and @t30 @t49)) % 0.35/0.59 (define @t51 () (forall @t32 (not @t50))) % 0.35/0.59 (define @t52 () (not @t51)) % 0.35/0.59 (define @t53 () (@purify @t42)) % 0.35/0.59 (define @t54 () (= tptp.husband_THFTYPE_IiioI @t42)) % 0.35/0.59 (define @t55 () (tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i)) % 0.35/0.59 (define @t56 () (@purify @t55)) % 0.35/0.59 (define @t57 () (tptp.holdsDuring_THFTYPE_IiooI @t36 @t55)) % 0.35/0.59 (define @t58 () (not @t57)) % 0.35/0.59 (define @t59 () (or @t58 @t54)) % 0.35/0.59 (define @t60 () (= tptp.husband_THFTYPE_IiioI @t53)) % 0.35/0.59 (define @t61 () (tptp.holdsDuring_THFTYPE_IiooI @t36 @t56)) % 0.35/0.59 (define @t62 () (not @t61)) % 0.35/0.59 (define @t63 () (or @t62 @t60)) % 0.35/0.59 (define @t64 () (@list false)) % 0.35/0.59 (define @t65 () (tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i @t16)) % 0.35/0.59 (define @t66 () (forall @t19 (not @t18))) % 0.35/0.59 (define @t67 () (not @t66)) % 0.35/0.59 (define @t68 () (tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i (@quantifiers_skolemize (forall @t19 @t65) 0))) % 0.35/0.59 (define @t69 () (=> @t60 (= @t68 true))) % 0.35/0.59 (define @t70 () (not @t60)) % 0.35/0.59 (define @t71 () (@list true)) % 0.35/0.59 (define @t72 () (@list true false)) % 0.35/0.59 (define @t73 () (tptp.wife_THFTYPE_IiioI tptp.lCorina_THFTYPE_i tptp.lChris_THFTYPE_i)) % 0.35/0.59 (define @t74 () (not @t35)) % 0.35/0.59 (define @t75 () (and @t35 @t37 @t56)) % 0.35/0.59 (define @t76 () (not @t56)) % 0.35/0.59 (define @t77 () (not @t37)) % 0.35/0.59 (define @t78 () (@var "BOUND_VARIABLE_7482" $$unsorted)) % 0.35/0.59 (define @t79 () (@var "BOUND_VARIABLE_7484" $$unsorted)) % 0.35/0.59 (define @t80 () (= (_ @t6 @t78 @t79) (_ @t4 @t79 @t78))) % 0.35/0.59 (define @t81 () (tptp.inverse_THFTYPE_IIiioIIiioIoI @t6 @t4)) % 0.35/0.59 (define @t82 () (not @t81)) % 0.35/0.59 (define @t83 () (or @t82 @t80)) % 0.35/0.59 (define @t84 () (forall (@list @t4 @t6 @t78 @t79) @t83)) % 0.35/0.59 (define @t85 () (@list @t78 @t79)) % 0.35/0.59 (define @t86 () (forall @t85 @t83)) % 0.35/0.59 (define @t87 () (forall @t85 @t80)) % 0.35/0.59 (define @t88 () (or @t82 @t87)) % 0.35/0.59 (define @t89 () (_ @t4 @t3 @t2)) % 0.35/0.59 (define @t90 () (_ @t6 @t2 @t3)) % 0.35/0.59 (define @t91 () (forall @t9 (= @t90 @t89))) % 0.35/0.59 (define @t92 () (not @t11)) % 0.35/0.59 (define @t93 () (or @t92 @t91)) % 0.35/0.59 (define @t94 () (tptp.inverse_THFTYPE_IIiioIIiioIoI tptp.husband_THFTYPE_IiioI tptp.wife_THFTYPE_IiioI)) % 0.35/0.59 (define @t95 () (not @t94)) % 0.35/0.59 (define @t96 () (or @t95 (= @t55 @t73))) % 0.35/0.59 (define @t97 () (= @t73 @t55)) % 0.35/0.59 (define @t98 () (or @t95 @t97)) % 0.35/0.59 (define @t99 () (not @t97)) % 0.35/0.59 (define @t100 () (not @t73)) % 0.35/0.59 (define @t101 () (not @t55)) % 0.35/0.59 (define @t102 () (and @t37 @t74 @t76 @t62)) % 0.35/0.59 (assume @p1 @t1) % 0.35/0.59 (assume @p2 @t14) % 0.35/0.59 (assume @p3 (forall (@list @t15) (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t15) true))) % 0.35/0.59 (assume @p4 @t20) % 0.35/0.59 (assume @p5 (_ @t23 @t21)) % 0.35/0.59 (assume @p6 @t34) % 0.35/0.59 (assume @p7 true) % 0.35/0.59 (step @p8 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t22 @t35))) % 0.35/0.59 (step @p9 :rule refl :args (@t35)) % 0.35/0.59 (step @p10 :rule refl :args (@t36)) % 0.35/0.59 (step @p11 :rule cong :premises (@p10 @p9) :args (@t37)) % 0.35/0.59 (step @p12 :rule trans :premises (@p11 @p8)) % 0.35/0.59 (step @p13 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.35/0.59 (step @p14 :rule ho_cong :premises (@p13 @p10)) % 0.35/0.59 (step @p15 :rule ho_cong :premises (@p14 @p9)) % 0.35/0.59 (step @p16 :rule cong :premises (@p15 @p12) :args ((= (_ @t38 @t35) @t37))) % 0.35/0.59 (step @p17 :rule symm :premises (@p16)) % 0.35/0.59 (step @p18 :rule refl :args ((_ @t23 @t35))) % 0.35/0.59 (step @p19 :rule eq_resolve :premises (@p18 @p17)) % 0.35/0.59 (step @p20 :rule eq-refl :args (@t21)) % 0.35/0.59 (step @p21 :rule skolem_intro :args (@t35)) % 0.35/0.59 (step @p22 :rule refl :args (@t21)) % 0.35/0.59 (step @p23 :rule cong :premises (@p22 @p21) :args (@t39)) % 0.35/0.59 (step @p24 :rule trans :premises (@p23 @p20)) % 0.35/0.59 (step @p25 :rule true_elim :premises (@p24)) % 0.35/0.59 (step @p26 :rule refl :args (@t22)) % 0.35/0.59 (step @p27 :rule cong :premises (@p26 @p10) :args ((= @t22 @t36))) % 0.35/0.59 (step @p28 :rule symm :premises (@p27)) % 0.35/0.59 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.35/0.59 (step @p30 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.35/0.59 (step @p31 :rule ho_cong :premises (@p30 @p29)) % 0.35/0.59 (step @p32 :rule ho_cong :premises (@p31 @p25)) % 0.35/0.59 (step @p33 :rule trans :premises (@p32 @p19)) % 0.35/0.59 (step @p34 :rule eq_resolve :premises (@p5 @p33)) % 0.35/0.59 (step @p35 :rule bool-double-not-elim :args (@t46)) % 0.35/0.59 (step @p36 :rule refl :args (@t43)) % 0.35/0.59 (step @p37 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t22 @t29))) % 0.35/0.59 (step @p38 :rule refl :args (@t44)) % 0.35/0.59 (step @p39 :rule cong :premises (@p10 @p38) :args (@t45)) % 0.35/0.59 (step @p40 :rule trans :premises (@p39 @p37)) % 0.35/0.59 (step @p41 :rule ho_cong :premises (@p14 @p38)) % 0.35/0.59 (step @p42 :rule cong :premises (@p41 @p40) :args ((= (_ @t38 @t44) @t45))) % 0.35/0.59 (step @p43 :rule symm :premises (@p42)) % 0.35/0.59 (step @p44 :rule refl :args (@t30)) % 0.35/0.59 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.35/0.59 (step @p46 :rule refl :args (@t29)) % 0.35/0.59 (step @p47 :rule cong :premises (@p46 @p38) :args ((= @t29 @t44))) % 0.35/0.59 (step @p48 :rule symm :premises (@p47)) % 0.35/0.59 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.35/0.59 (step @p50 :rule eq_resolve :premises (@p26 @p28)) % 0.35/0.59 (step @p51 :rule ho_cong :premises (@p13 @p50)) % 0.35/0.59 (step @p52 :rule ho_cong :premises (@p51 @p49)) % 0.35/0.59 (step @p53 :rule trans :premises (@p52 @p45)) % 0.35/0.59 (step @p54 :rule cong :premises (@p53) :args (@t47)) % 0.35/0.59 (step @p55 :rule nary_cong :premises (@p54 @p36) :args (@t48)) % 0.35/0.59 (step @p56 :rule cong :premises (@p55) :args ((forall @t32 @t48))) % 0.35/0.59 (step @p57 :rule bool-double-not-elim :args (@t43)) % 0.35/0.59 (step @p58 :rule refl :args (@t47)) % 0.35/0.59 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t47 (not @t49)))) % 0.35/0.59 (step @p60 :rule bool-and-de-morgan :args (@t30 @t49 true)) % 0.35/0.59 (step @p61 :rule trans :premises (@p60 @p59)) % 0.35/0.59 (step @p62 :rule cong :premises (@p61) :args (@t51)) % 0.35/0.59 (step @p63 :rule trans :premises (@p62 @p56)) % 0.35/0.59 (step @p64 :rule cong :premises (@p63) :args (@t52)) % 0.35/0.59 (step @p65 :rule exists-elim :args ((= (exists @t32 @t50) @t52))) % 0.35/0.59 (step @p66 :rule trans :premises (@p65 @p64)) % 0.35/0.59 (step @p67 :rule refl :args (@t42)) % 0.35/0.59 (step @p68 :rule symm :premises (@p67)) % 0.35/0.59 (step @p69 :rule alpha_equiv :args (@t25 (@list @t16 @t24) (@list @t41 @t40))) % 0.35/0.59 (step @p70 :rule trans :premises (@p69 @p68)) % 0.35/0.59 (step @p71 :rule refl :args (@t26)) % 0.35/0.59 (step @p72 :rule cong :premises (@p71 @p70) :args (@t27)) % 0.35/0.59 (step @p73 :rule cong :premises (@p72) :args (@t28)) % 0.35/0.59 (step @p74 :rule refl :args (@t30)) % 0.35/0.59 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t31)) % 0.35/0.59 (step @p76 :rule cong :premises (@p75) :args (@t33)) % 0.35/0.59 (step @p77 :rule trans :premises (@p76 @p66)) % 0.35/0.59 (step @p78 :rule cong :premises (@p77) :args (@t34)) % 0.35/0.59 (step @p79 :rule trans :premises (@p78 @p35)) % 0.35/0.59 (step @p80 :rule eq_resolve :premises (@p6 @p79)) % 0.35/0.59 (step @p81 :rule eq-refl :args (@t42)) % 0.35/0.59 (step @p82 :rule refl :args (@t42)) % 0.35/0.59 (step @p83 :rule cong :premises (@p82 @p68) :args ((= @t42 @t42))) % 0.35/0.59 (step @p84 :rule trans :premises (@p83 @p81)) % 0.35/0.59 (step @p85 :rule skolem_intro :args (@t53)) % 0.35/0.59 (step @p86 :rule cong :premises (@p82 @p85) :args ((= @t42 @t53))) % 0.35/0.59 (step @p87 :rule trans :premises (@p86 @p84)) % 0.35/0.59 (step @p88 :rule true_elim :premises (@p87)) % 0.35/0.59 (step @p89 :rule refl :args (tptp.husband_THFTYPE_IiioI)) % 0.35/0.59 (step @p90 :rule cong :premises (@p89 @p88) :args (@t54)) % 0.35/0.59 (step @p91 :rule eq-refl :args (@t55)) % 0.35/0.59 (step @p92 :rule skolem_intro :args (@t56)) % 0.35/0.59 (step @p93 :rule refl :args (@t55)) % 0.35/0.59 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t55 @t56))) % 0.35/0.59 (step @p95 :rule trans :premises (@p94 @p91)) % 0.35/0.59 (step @p96 :rule true_elim :premises (@p95)) % 0.35/0.59 (step @p97 :rule refl :args (@t36)) % 0.35/0.59 (step @p98 :rule cong :premises (@p97 @p96) :args (@t57)) % 0.35/0.59 (step @p99 :rule cong :premises (@p98) :args (@t58)) % 0.35/0.59 (step @p100 :rule nary_cong :premises (@p99 @p90) :args (@t59)) % 0.35/0.59 (step @p101 :rule refl :args (@t46)) % 0.35/0.59 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t46 @t59))) % 0.35/0.59 (assume-push @p288 @t46) % 0.35/0.59 (step @p104 :rule instantiate :premises (@p80) :args ((@list tptp.husband_THFTYPE_IiioI))) % 0.35/0.59 (step-pop @p289 :rule scope :premises (@p104)) % 0.35/0.59 (step @p105 :rule process_scope :premises (@p289) :args (@t59)) % 0.35/0.59 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 0.35/0.59 (step @p108 :rule implies_elim :premises (@p107)) % 0.35/0.59 (step @p109 :rule chain_m_resolution :premises (@p108 @p80) :args (@t63 @t64 (@list @t46))) % 0.35/0.59 (step @p110 :rule refl :args (@t65)) % 0.35/0.59 (step @p111 :rule refl :args (@t17)) % 0.35/0.59 (step @p112 :rule cong :premises (@p111 @p110) :args ((= @t17 @t65))) % 0.35/0.59 (step @p113 :rule symm :premises (@p112)) % 0.35/0.59 (step @p114 :rule eq_resolve :premises (@p111 @p113)) % 0.35/0.59 (step @p115 :rule cong :premises (@p114) :args ((forall @t19 @t17))) % 0.35/0.59 (step @p116 :rule bool-double-not-elim :args (@t17)) % 0.35/0.59 (step @p117 :rule cong :premises (@p116) :args (@t66)) % 0.35/0.59 (step @p118 :rule trans :premises (@p117 @p115)) % 0.35/0.59 (step @p119 :rule cong :premises (@p118) :args (@t67)) % 0.35/0.59 (step @p120 :rule exists-elim :args ((= @t20 @t67))) % 0.35/0.59 (step @p121 :rule trans :premises (@p120 @p119)) % 0.35/0.59 (step @p122 :rule eq_resolve :premises (@p4 @p121)) % 0.35/0.59 (step @p123 :rule skolemize :premises (@p122)) % 0.35/0.59 (step @p124 :rule bool-eq-true :args (@t68)) % 0.35/0.59 (step @p125 :rule refl :args (@t60)) % 0.35/0.59 (step @p126 :rule cong :premises (@p125 @p124) :args (@t69)) % 0.35/0.59 ; WARNING: add trust step for TRUST % 0.35/0.59 ; trust TRUST THEORY_LEMMA % 0.35/0.59 (step @p127 :rule trust :premises () :args (@t69)) % 0.35/0.59 (step @p128 :rule eq_resolve :premises (@p127 @p126)) % 0.35/0.59 (step @p129 :rule implies_elim :premises (@p128)) % 0.35/0.59 (step @p130 :rule reordering :premises (@p129) :args ((or @t68 @t70))) % 0.35/0.59 (step @p131 :rule chain_m_resolution :premises (@p130 @p123) :args (@t70 @t71 (@list @t68))) % 0.35/0.59 (step @p132 :rule cnf_or_pos :args (@t63)) % 0.35/0.59 (step @p133 :rule reordering :premises (@p132) :args ((or @t60 @t62 (not @t63)))) % 0.35/0.59 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p109) :args (@t62 @t72 (@list @t60 @t63))) % 0.35/0.59 (step @p135 :rule eq-symm :args (@t73 @t35)) % 0.35/0.59 (step @p136 :rule refl :args (@t35)) % 0.35/0.59 (step @p137 :rule refl :args (@t73)) % 0.35/0.59 (step @p138 :rule refl :args 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% 0.35/0.59 (step @p202 :rule symm :premises (@p201)) % 0.35/0.59 (step @p203 :rule eq_resolve :premises (@p200 @p202)) % 0.35/0.59 (step @p204 :rule refl :args (@t90)) % 0.35/0.59 (step @p205 :rule refl :args (@t7)) % 0.35/0.59 (step @p206 :rule cong :premises (@p205 @p204) :args ((= @t7 @t90))) % 0.35/0.59 (step @p207 :rule symm :premises (@p206)) % 0.35/0.59 (step @p208 :rule eq_resolve :premises (@p205 @p207)) % 0.35/0.59 (step @p209 :rule cong :premises (@p208 @p203) :args (@t8)) % 0.35/0.59 (step @p210 :rule cong :premises (@p209) :args (@t10)) % 0.35/0.59 (step @p211 :rule refl :args (@t11)) % 0.35/0.59 (step @p212 :rule cong :premises (@p211 @p210) :args (@t12)) % 0.35/0.59 (step @p213 :rule cong :premises (@p212) :args (@t14)) % 0.35/0.59 (step @p214 :rule trans :premises (@p213 @p198)) % 0.35/0.59 (step @p215 :rule eq_resolve :premises (@p2 @p214)) % 0.35/0.59 (step @p216 :rule eq-symm :args (@t55 @t73)) % 0.35/0.59 (step @p217 :rule refl :args (@t95)) % 0.35/0.59 (step @p218 :rule nary_cong :premises (@p217 @p216) :args (@t96)) % 0.35/0.59 (step @p219 :rule refl :args (@t84)) % 0.35/0.59 (step @p220 :rule cong :premises (@p219 @p218) :args ((=> @t84 @t96))) % 0.35/0.59 (assume-push @p302 @t84) % 0.35/0.59 (step @p222 :rule instantiate :premises (@p215) :args ((@list tptp.wife_THFTYPE_IiioI tptp.husband_THFTYPE_IiioI tptp.lChris_THFTYPE_i tptp.lCorina_THFTYPE_i))) % 0.35/0.59 (step-pop @p303 :rule scope :premises (@p222)) % 0.35/0.59 (step @p223 :rule process_scope :premises (@p303) :args (@t96)) % 0.35/0.59 (step @p225 :rule eq_resolve :premises (@p223 @p220)) % 0.35/0.59 (step @p226 :rule implies_elim :premises (@p225)) % 0.35/0.59 (step @p227 :rule chain_m_resolution :premises (@p226 @p215) :args (@t98 @t64 (@list @t84))) % 0.35/0.59 (step @p228 :rule refl :args (@t94)) % 0.35/0.59 (step @p229 :rule refl :args (@t1)) % 0.35/0.59 (step @p230 :rule cong :premises (@p229 @p228) :args ((= @t1 @t94))) % 0.35/0.59 (step @p231 :rule symm :premises (@p230)) % 0.35/0.59 (step @p232 :rule eq_resolve :premises (@p229 @p231)) % 0.35/0.59 (step @p233 :rule eq_resolve :premises (@p1 @p232)) % 0.35/0.59 (step @p234 :rule cnf_or_pos :args (@t98)) % 0.35/0.59 (step @p235 :rule reordering :premises (@p234) :args ((or @t95 @t97 (not @t98)))) % 0.35/0.59 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p227) :args (@t97 (@list false false) (@list @t94 @t98))) % 0.35/0.59 (step @p237 :rule cnf_equiv_pos1 :args (@t97)) % 0.35/0.59 (step @p238 :rule reordering :premises (@p237) :args ((or @t100 @t55 @t99))) % 0.35/0.59 (step @p239 :rule equiv_elim1 :premises (@p96)) % 0.35/0.59 (step @p240 :rule chain_m_resolution :premises (@p239 @p238 @p236 @p176 @p134 @p34 @p148) :args (@t74 (@list false false true true false false) (@list @t55 @t97 @t56 @t61 @t37 @t73))) % 0.35/0.59 (step @p241 :rule equiv_elim2 :premises (@p146)) % 0.35/0.59 (step @p242 :rule chain_m_resolution :premises (@p241 @p240) :args (@t100 @t71 (@list @t35))) % 0.35/0.59 (step @p243 :rule cnf_equiv_pos2 :args (@t97)) % 0.35/0.59 (step @p244 :rule reordering :premises (@p243) :args ((or @t73 @t101 @t99))) % 0.35/0.59 (step @p245 :rule chain_m_resolution :premises (@p244 @p242 @p236) :args (@t101 @t72 (@list @t73 @t97))) % 0.35/0.59 (step @p246 :rule equiv_elim2 :premises (@p96)) % 0.35/0.59 (step @p247 :rule chain_m_resolution :premises (@p246 @p245) :args (@t76 @t71 (@list @t55))) % 0.35/0.59 (step @p248 :rule bool-double-not-elim :args (@t56)) % 0.35/0.59 (step @p249 :rule bool-double-not-elim :args (@t61)) % 0.35/0.59 (step @p250 :rule bool-double-not-elim :args (@t35)) % 0.35/0.59 (step @p251 :rule refl :args (@t77)) % 0.35/0.59 (step @p252 :rule nary_cong :premises (@p251 @p250 @p249 @p248) :args ((or @t77 (not @t74) (not @t62) (not @t76)))) % 0.35/0.59 (assume-push @p304 @t37) % 0.35/0.59 (assume-push @p305 @t74) % 0.35/0.59 (assume-push @p306 @t76) % 0.35/0.59 (assume-push @p307 @t62) % 0.35/0.59 (step @p257 :rule evaluate :args ((= false true))) % 0.35/0.59 (step @p155 :rule true_intro :premises (@p34)) % 0.35/0.59 (step @p258 :rule false_intro :premises (@p305)) % 0.35/0.59 (step @p259 :rule symm :premises (@p258)) % 0.35/0.59 (step @p260 :rule false_intro :premises (@p306)) % 0.35/0.59 (step @p261 :rule trans :premises (@p260 @p259)) % 0.35/0.59 (step @p262 :rule cong :premises (@p97 @p261) :args (@t61)) % 0.35/0.59 (step @p263 :rule false_intro :premises (@p134)) % 0.35/0.59 (step @p264 :rule symm :premises (@p263)) % 0.35/0.59 (step @p265 :rule trans :premises (@p264 @p262 @p155)) % 0.35/0.59 (step @p266 false :rule eq_resolve :premises (@p265 @p257)) % 0.35/0.59 (step-pop @p308 :rule scope :premises (@p266)) % 0.35/0.59 (step-pop @p309 :rule scope :premises (@p308)) % 0.35/0.59 (step-pop @p310 :rule scope :premises (@p309)) % 0.35/0.59 (step-pop @p311 :rule scope :premises (@p310)) % 0.35/0.59 (step @p267 :rule process_scope :premises (@p311) :args (false)) % 0.35/0.59 (assume-push @p312 @t37) % 0.35/0.59 (assume-push @p313 @t74) % 0.35/0.59 (assume-push @p314 @t62) % 0.35/0.59 (assume-push @p315 @t76) % 0.35/0.59 (step @p276 :rule and_intro :premises (@p34 @p313 @p315 @p134)) % 0.35/0.59 (step-pop @p316 :rule scope :premises (@p276)) % 0.35/0.59 (step-pop @p317 :rule scope :premises (@p316)) % 0.35/0.59 (step-pop @p318 :rule scope :premises (@p317)) % 0.35/0.59 (step-pop @p319 :rule scope :premises (@p318)) % 0.35/0.59 (step @p277 :rule process_scope :premises (@p319) :args (@t102)) % 0.35/0.59 (step @p282 :rule implies_elim :premises (@p277)) % 0.35/0.59 (step @p283 :rule resolution :premises (@p282 @p267) :args (true @t102)) % 0.35/0.59 (step @p284 :rule not_and :premises (@p283)) % 0.35/0.59 (step @p285 :rule eq_resolve :premises (@p284 @p252)) % 0.35/0.59 (step @p286 :rule reordering :premises (@p285) :args ((or @t35 @t77 @t56 @t61))) % 0.35/0.59 (step @p287 false :rule chain_m_resolution :premises (@p286 @p247 @p240 @p134 @p34) :args (false (@list true true true false) (@list @t56 @t35 @t61 @t37))) % 0.35/0.59 ) % 0.35/0.59 % SZS output end Proof % 0.35/0.59 % cvc5 exiting %------------------------------------------------------------------------------