%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR130^1 : 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 : n017.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 08:13:02 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR130^1 : 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 % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 21:56:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.37/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 0.37/0.59 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.37/0.59 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.37/0.59 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 0.37/0.59 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.37/0.59 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.37/0.59 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.37/0.59 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 0.37/0.59 (define @t1 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.37/0.59 (define @t2 () (_ @t1 tptp.lAnna_THFTYPE_i)) % 0.37/0.59 (define @t3 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.37/0.59 (define @t4 () (_ tptp.holdsDuring_THFTYPE_IiooI @t3)) % 0.37/0.59 (define @t5 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.37/0.59 (define @t6 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.37/0.59 (define @t7 () (_ @t6 tptp.lBill_THFTYPE_i)) % 0.37/0.59 (define @t8 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.37/0.59 (define @t9 () (_ @t6 tptp.lMary_THFTYPE_i)) % 0.37/0.59 (define @t10 () (not @t9)) % 0.37/0.59 (define @t11 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t12 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t13 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.59 (define @t14 () (_ (_ @t13 @t12) @t11)) % 0.37/0.59 (define @t15 () (@list @t12 @t11)) % 0.37/0.59 (define @t16 () (forall @t15 @t14)) % 0.37/0.59 (define @t17 () (not @t16)) % 0.37/0.59 (define @t18 () (_ (_ @t13 tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.37/0.59 (define @t19 () (_ (_ @t13 tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.37/0.59 (define @t20 () (and @t19 @t18 @t17)) % 0.37/0.59 (define @t21 () (_ @t4 @t20)) % 0.37/0.59 (define @t22 () (@list @t13)) % 0.37/0.59 (define @t23 () (exists @t22 @t21)) % 0.37/0.59 (define @t24 () (not @t23)) % 0.37/0.59 (define @t25 () (_ @t13 @t12 @t11)) % 0.37/0.59 (define @t26 () (forall @t15 @t25)) % 0.37/0.59 (define @t27 () (not @t26)) % 0.37/0.59 (define @t28 () (_ @t13 tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.59 (define @t29 () (_ @t13 tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.59 (define @t30 () (and @t29 @t28 @t27)) % 0.37/0.59 (define @t31 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.37/0.59 (define @t32 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t30)) % 0.37/0.59 (define @t33 () (forall @t22 (not @t32))) % 0.37/0.59 (define @t34 () (_ tptp.holdsDuring_THFTYPE_IiooI @t31)) % 0.37/0.59 (define @t35 () (and @t19 @t18 @t27)) % 0.37/0.59 (define @t36 () (_ @t4 @t35)) % 0.37/0.59 (define @t37 () (not @t36)) % 0.37/0.59 (define @t38 () (forall @t22 @t37)) % 0.37/0.59 (define @t39 () (not @t38)) % 0.37/0.59 (define @t40 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.59 (define @t41 () (not @t40)) % 0.37/0.59 (define @t42 () (and @t40 @t40 @t41)) % 0.37/0.59 (define @t43 () (@purify @t42)) % 0.37/0.59 (define @t44 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t42)) % 0.37/0.59 (define @t45 () (not @t44)) % 0.37/0.59 (define @t46 () (lambda (@list (@var "BOUND_VARIABLE_7989" $$unsorted) (@var "BOUND_VARIABLE_7990" $$unsorted)) @t40)) % 0.37/0.59 (define @t47 () (_ @t46 @t12 @t11)) % 0.37/0.59 (define @t48 () (forall @t15 @t47)) % 0.37/0.59 (define @t49 () (not @t48)) % 0.37/0.59 (define @t50 () (_ @t46 tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.59 (define @t51 () (_ @t46 tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.59 (define @t52 () (and @t51 @t50 @t49)) % 0.37/0.59 (define @t53 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t52)) % 0.37/0.59 (define @t54 () (not @t53)) % 0.37/0.59 (define @t55 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t43)) % 0.37/0.59 (define @t56 () (not @t55)) % 0.37/0.59 (define @t57 () (@list false)) % 0.37/0.59 (define @t58 () (@list @t33)) % 0.37/0.59 (define @t59 () (@purify @t2)) % 0.37/0.59 (define @t60 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t59)) % 0.37/0.59 (define @t61 () (and (tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i) (tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i) (not (forall @t15 (tptp.parent_THFTYPE_IiioI @t12 @t11))))) % 0.37/0.59 (define @t62 () (@purify @t61)) % 0.37/0.59 (define @t63 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t61)) % 0.37/0.59 (define @t64 () (not @t63)) % 0.37/0.59 (define @t65 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t62)) % 0.37/0.59 (define @t66 () (not @t65)) % 0.37/0.59 (define @t67 () (not @t62)) % 0.37/0.59 (define @t68 () (not @t60)) % 0.37/0.59 (define @t69 () (not @t59)) % 0.37/0.59 (define @t70 () (not @t66)) % 0.37/0.59 (define @t71 () (= false true)) % 0.37/0.59 (define @t72 () (and @t60 @t59 @t62 @t66)) % 0.37/0.59 (define @t73 () (forall @t15 (tptp.likes_THFTYPE_IiioI @t12 @t11))) % 0.37/0.59 (define @t74 () (not @t73)) % 0.37/0.59 (define @t75 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.37/0.59 (define @t76 () (and @t75 @t40 @t74)) % 0.37/0.59 (define @t77 () (@purify @t76)) % 0.37/0.59 (define @t78 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t76)) % 0.37/0.59 (define @t79 () (not @t78)) % 0.37/0.59 (define @t80 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t77)) % 0.37/0.59 (define @t81 () (not @t80)) % 0.37/0.59 (define @t82 () (not @t77)) % 0.37/0.59 (define @t83 () (and @t60 @t59 @t77 @t81)) % 0.37/0.59 (define @t84 () (@purify @t10)) % 0.37/0.59 (define @t85 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t84)) % 0.37/0.59 (define @t86 () (= @t10 @t84)) % 0.37/0.59 (define @t87 () (not @t85)) % 0.37/0.59 (define @t88 () (not @t67)) % 0.37/0.59 (define @t89 () (not @t84)) % 0.37/0.59 (define @t90 () (= true false)) % 0.37/0.59 (define @t91 () (and @t66 @t67 @t89 @t85)) % 0.37/0.59 (define @t92 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lMary_THFTYPE_i)) % 0.37/0.59 (define @t93 () (not @t92)) % 0.37/0.59 (define @t94 () (@purify @t8)) % 0.37/0.59 (define @t95 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t94)) % 0.37/0.59 (define @t96 () (= @t8 @t94)) % 0.37/0.59 (define @t97 () (not @t95)) % 0.37/0.59 (define @t98 () (not @t94)) % 0.37/0.59 (define @t99 () (and @t66 @t67 @t98 @t95)) % 0.37/0.59 (define @t100 () (not @t75)) % 0.37/0.59 (define @t101 () (@purify @t7)) % 0.37/0.59 (define @t102 () (= @t7 @t101)) % 0.37/0.59 (define @t103 () (not @t101)) % 0.37/0.59 (define @t104 () (tptp.holdsDuring_THFTYPE_IiooI @t31 @t101)) % 0.37/0.59 (define @t105 () (not @t104)) % 0.37/0.59 (define @t106 () (and @t66 @t67 @t103 @t104)) % 0.37/0.59 (define @t107 () (not @t43)) % 0.37/0.59 (define @t108 () (and @t60 @t69 @t107 @t56)) % 0.37/0.59 (define @t109 () (not @t42)) % 0.37/0.59 (assume @p1 (_ @t4 @t2)) % 0.37/0.59 (assume @p2 (_ @t4 (_ @t5 tptp.lBen_THFTYPE_i))) % 0.37/0.59 (assume @p3 (_ @t4 @t7)) % 0.37/0.59 (assume @p4 (_ @t4 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i))) % 0.37/0.59 (assume @p5 (_ @t4 @t8)) % 0.37/0.59 (assume @p6 (_ @t4 (_ @t5 tptp.lAnna_THFTYPE_i))) % 0.37/0.59 (assume @p7 (_ @t4 (_ @t1 tptp.lBen_THFTYPE_i))) % 0.37/0.59 (assume @p8 (_ @t4 @t10)) % 0.37/0.59 (assume @p9 @t24) % 0.37/0.59 (assume @p10 true) % 0.37/0.59 (step @p11 :rule bool-double-not-elim :args (@t33)) % 0.37/0.59 (step @p12 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t20))) % 0.37/0.59 (step @p13 :rule refl :args (@t25)) % 0.37/0.59 (step @p14 :rule cong :premises (@p13) :args (@t26)) % 0.37/0.59 (step @p15 :rule cong :premises (@p14) :args (@t27)) % 0.37/0.59 (step @p16 :rule refl :args (@t28)) % 0.37/0.59 (step @p17 :rule refl :args (@t29)) % 0.37/0.59 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15) :args (@t30)) % 0.37/0.59 (step @p19 :rule refl :args (@t31)) % 0.37/0.59 (step @p20 :rule cong :premises (@p19 @p18) :args (@t32)) % 0.37/0.59 (step @p21 :rule trans :premises (@p20 @p12)) % 0.37/0.59 (step @p22 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.37/0.59 (step @p23 :rule ho_cong :premises (@p22 @p19)) % 0.37/0.59 (step @p24 :rule ho_cong :premises (@p23 @p18)) % 0.37/0.59 (step @p25 :rule cong :premises (@p24 @p21) :args ((= (_ @t34 @t30) @t32))) % 0.37/0.59 (step @p26 :rule symm :premises (@p25)) % 0.37/0.59 (step @p27 :rule refl :args (@t21)) % 0.37/0.59 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.37/0.59 (step @p29 :rule refl :args (@t27)) % 0.37/0.59 (step @p30 :rule refl :args (@t18)) % 0.37/0.59 (step @p31 :rule cong :premises (@p30 @p16) :args ((= @t18 @t28))) % 0.37/0.59 (step @p32 :rule symm :premises (@p31)) % 0.37/0.59 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.37/0.59 (step @p34 :rule refl :args (@t19)) % 0.37/0.59 (step @p35 :rule cong :premises (@p34 @p17) :args ((= @t19 @t29))) % 0.37/0.59 (step @p36 :rule symm :premises (@p35)) % 0.37/0.59 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.37/0.59 (step @p38 :rule nary_cong :premises (@p37 @p33 @p29) :args (@t35)) % 0.37/0.59 (step @p39 :rule refl :args (@t3)) % 0.37/0.59 (step @p40 :rule cong :premises (@p39 @p19) :args ((= @t3 @t31))) % 0.37/0.59 (step @p41 :rule symm :premises (@p40)) % 0.37/0.59 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.37/0.59 (step @p43 :rule ho_cong :premises (@p22 @p42)) % 0.37/0.59 (step @p44 :rule ho_cong :premises (@p43 @p38)) % 0.37/0.59 (step @p45 :rule trans :premises (@p44 @p28)) % 0.37/0.59 (step @p46 :rule cong :premises (@p45) :args (@t37)) % 0.37/0.59 (step @p47 :rule cong :premises (@p46) :args (@t38)) % 0.37/0.59 (step @p48 :rule cong :premises (@p47) :args (@t39)) % 0.37/0.59 (step @p49 :rule exists-elim :args ((= (exists @t22 @t36) @t39))) % 0.37/0.59 (step @p50 :rule trans :premises (@p49 @p48)) % 0.37/0.59 (step @p51 :rule refl :args (@t14)) % 0.37/0.59 (step @p52 :rule cong :premises (@p51 @p13) :args ((= @t14 @t25))) % 0.37/0.59 (step @p53 :rule symm :premises (@p52)) % 0.37/0.59 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.37/0.59 (step @p55 :rule cong :premises (@p54) :args (@t16)) % 0.37/0.59 (step @p56 :rule cong :premises (@p55) :args (@t17)) % 0.37/0.59 (step @p57 :rule refl :args (@t18)) % 0.37/0.59 (step @p58 :rule refl :args (@t19)) % 0.37/0.59 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args (@t20)) % 0.37/0.59 (step @p60 :rule refl :args (@t4)) % 0.37/0.59 (step @p61 :rule ho_cong :premises (@p60 @p59)) % 0.37/0.59 (step @p62 :rule cong :premises (@p61) :args (@t23)) % 0.37/0.59 (step @p63 :rule trans :premises (@p62 @p50)) % 0.37/0.59 (step @p64 :rule cong :premises (@p63) :args (@t24)) % 0.37/0.59 (step @p65 :rule trans :premises (@p64 @p11)) % 0.37/0.59 (step @p66 :rule eq_resolve :premises (@p9 @p65)) % 0.37/0.59 (step @p67 :rule eq-refl :args (@t42)) % 0.37/0.59 (step @p68 :rule skolem_intro :args (@t43)) % 0.37/0.59 (step @p69 :rule refl :args (@t42)) % 0.37/0.59 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t42 @t43))) % 0.37/0.59 (step @p71 :rule trans :premises (@p70 @p67)) % 0.37/0.59 (step @p72 :rule true_elim :premises (@p71)) % 0.37/0.59 (step @p73 :rule refl :args (@t31)) % 0.37/0.59 (step @p74 :rule cong :premises (@p73 @p72) :args (@t44)) % 0.37/0.59 (step @p75 :rule cong :premises (@p74) :args (@t45)) % 0.37/0.59 (step @p76 :rule refl :args (@t33)) % 0.37/0.59 (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t33 @t45))) % 0.37/0.59 (step @p78 :rule quant-unused-vars :args ((= (forall @t15 @t40) @t40))) % 0.37/0.59 (step @p79 :rule beta-reduce :args ((= @t47 @t40))) % 0.37/0.59 (step @p80 :rule cong :premises (@p79) :args (@t48)) % 0.37/0.59 (step @p81 :rule trans :premises (@p80 @p78)) % 0.37/0.59 (step @p82 :rule cong :premises (@p81) :args (@t49)) % 0.37/0.59 (step @p83 :rule beta-reduce :args ((= @t50 @t40))) % 0.37/0.59 (step @p84 :rule beta-reduce :args ((= @t51 @t40))) % 0.37/0.59 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82) :args (@t52)) % 0.37/0.59 (step @p86 :rule cong :premises (@p73 @p85) :args (@t53)) % 0.37/0.59 (step @p87 :rule cong :premises (@p86) :args (@t54)) % 0.37/0.59 (step @p88 :rule cong :premises (@p76 @p87) :args ((=> @t33 @t54))) % 0.37/0.59 (assume-push @p494 @t33) % 0.37/0.59 (step @p90 :rule instantiate :premises (@p66) :args ((@list @t46))) % 0.37/0.59 (step-pop @p495 :rule scope :premises (@p90)) % 0.37/0.59 (step @p91 :rule process_scope :premises (@p495) :args (@t54)) % 0.37/0.59 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 0.37/0.59 (step @p94 :rule eq_resolve :premises (@p93 @p77)) % 0.37/0.59 (step @p95 :rule implies_elim :premises (@p94)) % 0.37/0.59 (step @p96 :rule chain_m_resolution :premises (@p95 @p66) :args (@t56 @t57 @t58)) % 0.37/0.59 (step @p97 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t59))) % 0.37/0.59 (step @p98 :rule refl :args (@t59)) % 0.37/0.59 (step @p99 :rule cong :premises (@p19 @p98) :args (@t60)) % 0.37/0.59 (step @p100 :rule trans :premises (@p99 @p97)) % 0.37/0.59 (step @p101 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@p380) :args (@t102)) % 0.37/0.59 (step @p387 :rule trans :premises (@p386 @p379)) % 0.37/0.59 (step @p388 :rule eq-symm :args (@t101 @t7)) % 0.37/0.59 (step @p389 :rule trans :premises (@p388 @p387)) % 0.37/0.59 (step @p390 :rule skolem_intro :args (@t101)) % 0.37/0.59 (step @p391 :rule eq_resolve :premises (@p390 @p389)) % 0.37/0.59 (step @p392 :rule equiv_elim1 :premises (@p391)) % 0.37/0.59 (step @p393 :rule reordering :premises (@p392) :args ((or @t75 @t103))) % 0.37/0.59 (step @p394 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t101))) % 0.37/0.59 (step @p395 :rule refl :args (@t101)) % 0.37/0.59 (step @p396 :rule cong :premises (@p19 @p395) :args (@t104)) % 0.37/0.59 (step @p397 :rule trans :premises (@p396 @p394)) % 0.37/0.59 (step @p398 :rule ho_cong :premises (@p23 @p395)) % 0.37/0.59 (step @p399 :rule cong :premises (@p398 @p397) :args ((= (_ @t34 @t101) @t104))) % 0.37/0.59 (step @p400 :rule symm :premises (@p399)) % 0.37/0.59 (step @p401 :rule refl :args ((_ @t4 @t101))) % 0.37/0.59 (step @p402 :rule eq_resolve :premises (@p401 @p400)) % 0.37/0.59 (step @p403 :rule eq-refl :args (@t7)) % 0.37/0.59 (step @p404 :rule refl :args (@t7)) % 0.37/0.59 (step @p405 :rule cong :premises (@p404 @p390) :args (@t102)) % 0.37/0.59 (step @p406 :rule trans :premises (@p405 @p403)) % 0.37/0.59 (step @p407 :rule true_elim :premises (@p406)) % 0.37/0.59 (step @p408 :rule ho_cong :premises (@p113 @p407)) % 0.37/0.59 (step @p409 :rule trans :premises (@p408 @p402)) % 0.37/0.59 (step @p410 :rule eq_resolve :premises (@p3 @p409)) % 0.37/0.59 (step @p411 :rule bool-double-not-elim :args (@t101)) % 0.37/0.59 (step @p412 :rule refl :args (@t105)) % 0.37/0.59 (step @p413 :rule nary_cong :premises (@p412 @p411 @p133 @p245) :args ((or @t105 (not @t103) @t70 @t88))) % 0.37/0.59 (assume-push @p566 @t66) % 0.37/0.59 (assume-push @p567 @t67) % 0.37/0.59 (assume-push @p568 @t103) % 0.37/0.59 (assume-push @p569 @t104) % 0.37/0.59 (step @p253 :rule evaluate :args (@t90)) % 0.37/0.59 (step @p149 :rule false_intro :premises (@p132)) % 0.37/0.59 (step @p418 :rule false_intro :premises (@p567)) % 0.37/0.59 (step @p419 :rule symm :premises (@p418)) % 0.37/0.59 (step @p420 :rule false_intro :premises (@p568)) % 0.37/0.59 (step @p421 :rule trans :premises (@p420 @p419)) % 0.37/0.59 (step @p422 :rule cong :premises (@p73 @p421) :args (@t104)) % 0.37/0.59 (step @p423 :rule true_intro :premises (@p410)) % 0.37/0.59 (step @p424 :rule symm :premises (@p423)) % 0.37/0.59 (step @p425 :rule trans :premises (@p424 @p422 @p149)) % 0.37/0.59 (step @p426 false :rule eq_resolve :premises (@p425 @p253)) % 0.37/0.59 (step-pop @p570 :rule scope :premises (@p426)) % 0.37/0.59 (step-pop @p571 :rule scope :premises (@p570)) % 0.37/0.59 (step-pop @p572 :rule scope :premises (@p571)) % 0.37/0.59 (step-pop @p573 :rule scope :premises (@p572)) % 0.37/0.59 (step @p427 :rule process_scope :premises (@p573) :args (false)) % 0.37/0.59 (assume-push @p574 @t104) % 0.37/0.59 (assume-push @p575 @t103) % 0.37/0.59 (assume-push @p576 @t66) % 0.37/0.59 (assume-push @p577 @t67) % 0.37/0.59 (step @p436 :rule and_intro :premises (@p132 @p577 @p575 @p410)) % 0.37/0.59 (step-pop @p578 :rule scope :premises (@p436)) % 0.37/0.59 (step-pop @p579 :rule scope :premises (@p578)) % 0.37/0.59 (step-pop @p580 :rule scope :premises (@p579)) % 0.37/0.59 (step-pop @p581 :rule scope :premises (@p580)) % 0.37/0.59 (step @p437 :rule process_scope :premises (@p581) :args (@t106)) % 0.37/0.59 (step @p442 :rule implies_elim :premises (@p437)) % 0.37/0.59 (step @p443 :rule resolution :premises (@p442 @p427) :args (true @t106)) % 0.37/0.59 (step @p444 :rule not_and :premises (@p443)) % 0.37/0.59 (step @p445 :rule eq_resolve :premises (@p444 @p413)) % 0.37/0.59 (step @p446 :rule reordering :premises (@p445) :args ((or @t101 @t105 @t62 @t65))) % 0.37/0.59 (step @p447 :rule chain_m_resolution :premises (@p446 @p132 @p410 @p393 @p378 @p371 @p357 @p132 @p321 @p303 @p297 @p282 @p132 @p244 @p226 @p224 @p188 @p116 @p172 @p132 @p116) :args (@t69 (@list true false true true false false true false true true false true false true true true false true true false) (@list @t65 @t104 @t101 @t75 @t40 @t94 @t65 @t95 @t73 @t92 @t84 @t65 @t85 @t76 @t77 @t80 @t60 @t62 @t65 @t60))) % 0.37/0.60 (step @p448 :rule bool-double-not-elim :args (@t43)) % 0.37/0.60 (step @p449 :rule bool-double-not-elim :args (@t55)) % 0.37/0.60 (step @p450 :rule bool-double-not-elim :args (@t59)) % 0.37/0.60 (step @p451 :rule nary_cong :premises (@p135 @p450 @p449 @p448) :args ((or @t68 (not @t69) (not @t56) (not @t107)))) % 0.37/0.60 (assume-push @p582 @t60) % 0.37/0.60 (assume-push @p583 @t69) % 0.37/0.60 (assume-push @p584 @t107) % 0.37/0.60 (assume-push @p585 @t56) % 0.37/0.60 (step @p142 :rule evaluate :args (@t71)) % 0.37/0.60 (step @p143 :rule true_intro :premises (@p116)) % 0.37/0.60 (step @p456 :rule false_intro :premises (@p583)) % 0.37/0.60 (step @p457 :rule symm :premises (@p456)) % 0.37/0.60 (step @p458 :rule false_intro :premises (@p584)) % 0.37/0.60 (step @p459 :rule trans :premises (@p458 @p457)) % 0.37/0.60 (step @p460 :rule cong :premises (@p73 @p459) :args (@t55)) % 0.37/0.60 (step @p461 :rule false_intro :premises (@p96)) % 0.37/0.60 (step @p462 :rule symm :premises (@p461)) % 0.37/0.60 (step @p463 :rule trans :premises (@p462 @p460 @p143)) % 0.37/0.60 (step @p464 false :rule eq_resolve :premises (@p463 @p142)) % 0.37/0.60 (step-pop @p586 :rule scope :premises (@p464)) % 0.37/0.60 (step-pop @p587 :rule scope :premises (@p586)) % 0.37/0.60 (step-pop @p588 :rule scope :premises (@p587)) % 0.37/0.60 (step-pop @p589 :rule scope :premises (@p588)) % 0.37/0.60 (step @p465 :rule process_scope :premises (@p589) :args (false)) % 0.37/0.60 (assume-push @p590 @t60) % 0.37/0.60 (assume-push @p591 @t69) % 0.37/0.60 (assume-push @p592 @t56) % 0.37/0.60 (assume-push @p593 @t107) % 0.37/0.60 (step @p474 :rule and_intro :premises (@p116 @p591 @p593 @p96)) % 0.37/0.60 (step-pop @p594 :rule scope :premises (@p474)) % 0.37/0.60 (step-pop @p595 :rule scope :premises (@p594)) % 0.37/0.60 (step-pop @p596 :rule scope :premises (@p595)) % 0.37/0.60 (step-pop @p597 :rule scope :premises (@p596)) % 0.37/0.60 (step @p475 :rule process_scope :premises (@p597) :args (@t108)) % 0.37/0.60 (step @p480 :rule implies_elim :premises (@p475)) % 0.37/0.60 (step @p481 :rule resolution :premises (@p480 @p465) :args (true @t108)) % 0.37/0.60 (step @p482 :rule not_and :premises (@p481)) % 0.37/0.60 (step @p483 :rule eq_resolve :premises (@p482 @p451)) % 0.37/0.60 (step @p484 :rule reordering :premises (@p483) :args ((or @t59 @t68 @t43 @t55))) % 0.37/0.60 (step @p485 :rule chain_m_resolution :premises (@p484 @p447 @p116 @p96) :args (@t43 (@list true false true) (@list @t59 @t60 @t55))) % 0.37/0.60 (step @p486 :rule equiv_elim2 :premises (@p72)) % 0.37/0.60 (step @p487 :rule chain_m_resolution :premises (@p486 @p485) :args (@t42 @t57 (@list @t43))) % 0.37/0.60 (step @p488 :rule cnf_and_pos :args (@t42 0)) % 0.37/0.60 (step @p489 :rule reordering :premises (@p488) :args ((or @t40 @t109))) % 0.37/0.60 (step @p490 :rule chain_m_resolution :premises (@p489 @p487) :args (@t40 @t57 (@list @t42))) % 0.37/0.60 (step @p491 :rule cnf_and_pos :args (@t42 2)) % 0.37/0.60 (step @p492 :rule reordering :premises (@p491) :args ((or @t41 @t109))) % 0.37/0.60 (step @p493 false :rule chain_m_resolution :premises (@p492 @p490 @p487) :args (false (@list false false) (@list @t40 @t42))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------