%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR133^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR133^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 21:57:37 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.39/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.39/0.61 (declare-const tptp.lBob_THFTYPE_i $$unsorted) % 0.39/0.61 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.39/0.61 (declare-const tptp.lBen_THFTYPE_i $$unsorted) % 0.39/0.61 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.39/0.61 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.39/0.61 (declare-const tptp.parent_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.39/0.61 (declare-const tptp.lAnna_THFTYPE_i $$unsorted) % 0.39/0.61 (define @t1 () (_ tptp.parent_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.39/0.61 (define @t2 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.39/0.61 (define @t3 () (_ tptp.holdsDuring_THFTYPE_IiooI @t2)) % 0.39/0.61 (define @t4 () (_ tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.39/0.61 (define @t5 () (_ tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i)) % 0.39/0.61 (define @t6 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.39/0.61 (define @t7 () (_ @t6 tptp.lBill_THFTYPE_i)) % 0.39/0.61 (define @t8 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i) tptp.lBill_THFTYPE_i)) % 0.39/0.61 (define @t9 () (_ @t5 tptp.lBen_THFTYPE_i)) % 0.39/0.61 (define @t10 () (not @t9)) % 0.39/0.61 (define @t11 () (_ @t4 tptp.lAnna_THFTYPE_i)) % 0.39/0.61 (define @t12 () (@var "Q" (-> $$unsorted $$unsorted Bool))) % 0.39/0.61 (define @t13 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.39/0.61 (define @t14 () (not (= @t13 @t12))) % 0.39/0.61 (define @t15 () (@var "Y" $$unsorted)) % 0.39/0.61 (define @t16 () (_ (_ @t12 @t15) tptp.lAnna_THFTYPE_i)) % 0.39/0.61 (define @t17 () (_ (_ @t13 @t15) tptp.lBill_THFTYPE_i)) % 0.39/0.61 (define @t18 () (and @t17 @t16 @t14)) % 0.39/0.61 (define @t19 () (@list @t12 @t13 @t15)) % 0.39/0.61 (define @t20 () (exists @t19 (_ @t3 @t18))) % 0.39/0.61 (define @t21 () (not @t20)) % 0.39/0.61 (define @t22 () (@purify @t10)) % 0.39/0.61 (define @t23 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.39/0.61 (define @t24 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t22)) % 0.39/0.61 (define @t25 () (_ tptp.holdsDuring_THFTYPE_IiooI @t23)) % 0.39/0.61 (define @t26 () (= @t10 @t22)) % 0.39/0.61 (define @t27 () (not (= @t12 @t13))) % 0.39/0.61 (define @t28 () (_ @t12 @t15 tptp.lAnna_THFTYPE_i)) % 0.39/0.61 (define @t29 () (_ @t13 @t15 tptp.lBill_THFTYPE_i)) % 0.39/0.61 (define @t30 () (and @t29 @t28 @t27)) % 0.39/0.61 (define @t31 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t30)) % 0.39/0.61 (define @t32 () (forall @t19 (not @t31))) % 0.39/0.61 (define @t33 () (and @t17 @t16 @t27)) % 0.39/0.61 (define @t34 () (_ @t3 @t33)) % 0.39/0.61 (define @t35 () (not @t34)) % 0.39/0.61 (define @t36 () (forall @t19 @t35)) % 0.39/0.61 (define @t37 () (not @t36)) % 0.39/0.61 (define @t38 () (@purify false)) % 0.39/0.61 (define @t39 () (not @t38)) % 0.39/0.61 (define @t40 () (tptp.holdsDuring_THFTYPE_IiooI @t23 false)) % 0.39/0.61 (define @t41 () (not @t40)) % 0.39/0.61 (define @t42 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lAnna_THFTYPE_i)) % 0.39/0.61 (define @t43 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.39/0.61 (define @t44 () (not (= tptp.likes_THFTYPE_IiioI tptp.likes_THFTYPE_IiioI))) % 0.39/0.61 (define @t45 () (and @t43 @t42 @t44)) % 0.39/0.61 (define @t46 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t45)) % 0.39/0.61 (define @t47 () (not @t46)) % 0.39/0.61 (define @t48 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t38)) % 0.39/0.61 (define @t49 () (not @t48)) % 0.39/0.61 (define @t50 () (@list false)) % 0.39/0.61 (define @t51 () (@list @t32)) % 0.39/0.61 (define @t52 () (@var "BOUND_VARIABLE_8145" $$unsorted)) % 0.39/0.61 (define @t53 () (lambda (@list @t52 (@var "BOUND_VARIABLE_8146" $$unsorted)) (tptp.likes_THFTYPE_IiioI @t52 tptp.lBill_THFTYPE_i))) % 0.39/0.61 (define @t54 () (= tptp.parent_THFTYPE_IiioI @t53)) % 0.39/0.61 (define @t55 () (not @t54)) % 0.39/0.61 (define @t56 () (tptp.parent_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lAnna_THFTYPE_i)) % 0.39/0.61 (define @t57 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.39/0.61 (define @t58 () (and @t57 @t56 @t55)) % 0.39/0.61 (define @t59 () (@purify @t58)) % 0.39/0.61 (define @t60 () (= @t58 @t59)) % 0.39/0.61 (define @t61 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t58)) % 0.39/0.61 (define @t62 () (not @t61)) % 0.39/0.61 (define @t63 () (_ @t53 tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.39/0.61 (define @t64 () (and @t63 @t56 @t55)) % 0.39/0.61 (define @t65 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t64)) % 0.39/0.61 (define @t66 () (not @t65)) % 0.39/0.61 (define @t67 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t59)) % 0.39/0.61 (define @t68 () (not @t67)) % 0.39/0.61 (define @t69 () (@purify @t11)) % 0.39/0.61 (define @t70 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t69)) % 0.39/0.61 (define @t71 () (= @t11 @t69)) % 0.39/0.61 (define @t72 () (not @t70)) % 0.39/0.61 (define @t73 () (not @t39)) % 0.39/0.61 (define @t74 () (not @t49)) % 0.39/0.61 (define @t75 () (not @t69)) % 0.39/0.61 (define @t76 () (= true false)) % 0.39/0.61 (define @t77 () (and @t49 @t39 @t75 @t70)) % 0.39/0.61 (define @t78 () (@list false true true)) % 0.39/0.61 (define @t79 () (not @t59)) % 0.39/0.61 (define @t80 () (and @t70 @t69 @t59 @t68)) % 0.39/0.61 (define @t81 () (@list false false true)) % 0.39/0.61 (define @t82 () (@purify @t53)) % 0.39/0.61 (define @t83 () (= tptp.parent_THFTYPE_IiioI @t82)) % 0.39/0.61 (define @t84 () (not @t83)) % 0.39/0.61 (define @t85 () (and @t57 @t56 @t84)) % 0.39/0.61 (define @t86 () (@purify @t7)) % 0.39/0.61 (define @t87 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t86)) % 0.39/0.61 (define @t88 () (= @t7 @t86)) % 0.39/0.61 (define @t89 () (not @t87)) % 0.39/0.61 (define @t90 () (not @t86)) % 0.39/0.61 (define @t91 () (and @t49 @t39 @t90 @t87)) % 0.39/0.61 (define @t92 () (not @t56)) % 0.39/0.61 (define @t93 () (not @t57)) % 0.39/0.61 (define @t94 () (tptp.parent_THFTYPE_IiioI tptp.lBob_THFTYPE_i tptp.lBen_THFTYPE_i)) % 0.39/0.61 (define @t95 () (tptp.likes_THFTYPE_IiioI tptp.lBob_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.39/0.61 (define @t96 () (=> @t83 (= @t94 @t95))) % 0.39/0.61 (define @t97 () (= @t95 @t94)) % 0.39/0.61 (define @t98 () (@purify @t8)) % 0.39/0.61 (define @t99 () (tptp.holdsDuring_THFTYPE_IiooI @t23 @t98)) % 0.39/0.61 (define @t100 () (= @t8 @t98)) % 0.39/0.61 (define @t101 () (not @t99)) % 0.39/0.61 (define @t102 () (not @t98)) % 0.39/0.61 (define @t103 () (and @t49 @t39 @t102 @t99)) % 0.39/0.61 (define @t104 () (not @t94)) % 0.39/0.61 (define @t105 () (not @t22)) % 0.39/0.61 (define @t106 () (not @t24)) % 0.39/0.61 (define @t107 () (and @t49 @t39 @t105 @t24)) % 0.39/0.61 (assume @p1 (_ @t3 (_ @t1 tptp.lAnna_THFTYPE_i))) % 0.39/0.61 (assume @p2 (_ @t3 (_ @t4 tptp.lBen_THFTYPE_i))) % 0.39/0.61 (assume @p3 (_ @t3 (not (_ @t5 tptp.lAnna_THFTYPE_i)))) % 0.39/0.61 (assume @p4 (_ @t3 @t7)) % 0.39/0.61 (assume @p5 (_ @t3 @t8)) % 0.39/0.61 (assume @p6 (_ @t3 @t10)) % 0.39/0.61 (assume @p7 (_ @t3 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))) % 0.39/0.61 (assume @p8 (_ @t3 @t11)) % 0.39/0.61 (assume @p9 (_ @t3 (_ @t1 tptp.lBen_THFTYPE_i))) % 0.39/0.61 (assume @p10 (_ @t3 (not (_ @t6 tptp.lMary_THFTYPE_i)))) % 0.39/0.61 (assume @p11 @t21) % 0.39/0.61 (assume @p12 true) % 0.39/0.61 (step @p13 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t2 @t22))) % 0.39/0.61 (step @p14 :rule refl :args (@t22)) % 0.39/0.61 (step @p15 :rule refl :args (@t23)) % 0.39/0.61 (step @p16 :rule cong :premises (@p15 @p14) :args (@t24)) % 0.39/0.61 (step @p17 :rule trans :premises (@p16 @p13)) % 0.39/0.61 (step @p18 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.39/0.61 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.39/0.61 (step @p20 :rule ho_cong :premises (@p19 @p14)) % 0.39/0.61 (step @p21 :rule cong :premises (@p20 @p17) :args ((= (_ @t25 @t22) @t24))) % 0.39/0.61 (step @p22 :rule symm :premises (@p21)) % 0.39/0.61 (step @p23 :rule refl :args ((_ @t3 @t22))) % 0.39/0.61 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.39/0.61 (step @p25 :rule eq-refl :args (@t10)) % 0.39/0.61 (step @p26 :rule skolem_intro :args (@t22)) % 0.39/0.61 (step @p27 :rule refl :args (@t10)) % 0.39/0.61 (step @p28 :rule cong :premises (@p27 @p26) :args (@t26)) % 0.39/0.61 (step @p29 :rule trans :premises (@p28 @p25)) % 0.39/0.61 (step @p30 :rule true_elim :premises (@p29)) % 0.39/0.61 (step @p31 :rule refl :args (@t2)) % 0.39/0.61 (step @p32 :rule cong :premises (@p31 @p15) :args ((= @t2 @t23))) % 0.39/0.61 (step @p33 :rule symm :premises (@p32)) % 0.39/0.61 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.39/0.61 (step @p35 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.39/0.61 (step @p36 :rule ho_cong :premises (@p35 @p34)) % 0.39/0.61 (step @p37 :rule ho_cong :premises (@p36 @p30)) % 0.39/0.61 (step @p38 :rule trans :premises (@p37 @p24)) % 0.39/0.61 (step @p39 :rule eq_resolve :premises (@p6 @p38)) % 0.39/0.61 (step @p40 :rule bool-double-not-elim :args (@t32)) % 0.39/0.61 (step @p41 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t2 @t33))) % 0.39/0.61 (step @p42 :rule refl :args (@t27)) % 0.39/0.61 (step @p43 :rule refl :args (@t28)) % 0.39/0.61 (step @p44 :rule refl :args (@t29)) % 0.39/0.61 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args (@t30)) % 0.39/0.61 (step @p46 :rule cong :premises (@p15 @p45) :args (@t31)) % 0.39/0.61 (step @p47 :rule trans :premises (@p46 @p41)) % 0.39/0.61 (step @p48 :rule ho_cong :premises (@p19 @p45)) % 0.39/0.61 (step @p49 :rule cong :premises (@p48 @p47) :args ((= (_ @t25 @t30) @t31))) % 0.39/0.61 (step @p50 :rule symm :premises (@p49)) % 0.39/0.61 (step @p51 :rule refl :args (@t34)) % 0.39/0.61 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.39/0.61 (step @p53 :rule refl :args (@t16)) % 0.39/0.61 (step @p54 :rule cong :premises (@p53 @p43) :args ((= @t16 @t28))) % 0.39/0.61 (step @p55 :rule symm :premises (@p54)) % 0.39/0.61 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.39/0.61 (step @p57 :rule refl :args (@t17)) % 0.39/0.61 (step @p58 :rule cong :premises (@p57 @p44) :args ((= @t17 @t29))) % 0.39/0.61 (step @p59 :rule symm :premises (@p58)) % 0.39/0.61 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.39/0.61 (step @p61 :rule nary_cong :premises (@p60 @p56 @p42) :args (@t33)) % 0.39/0.61 (step @p62 :rule eq_resolve :premises (@p31 @p33)) % 0.39/0.61 (step @p63 :rule ho_cong :premises (@p18 @p62)) % 0.39/0.61 (step @p64 :rule ho_cong :premises (@p63 @p61)) % 0.39/0.61 (step @p65 :rule trans :premises (@p64 @p52)) % 0.39/0.61 (step @p66 :rule cong :premises (@p65) :args (@t35)) % 0.39/0.61 (step @p67 :rule cong :premises (@p66) :args (@t36)) % 0.39/0.61 (step @p68 :rule cong :premises (@p67) :args (@t37)) % 0.39/0.61 (step @p69 :rule exists-elim :args ((= (exists @t19 @t34) @t37))) % 0.39/0.61 (step @p70 :rule trans :premises (@p69 @p68)) % 0.39/0.61 (step @p71 :rule eq-symm :args (@t13 @t12)) % 0.39/0.61 (step @p72 :rule cong :premises (@p71) :args (@t14)) % 0.39/0.61 (step @p73 :rule refl :args (@t16)) % 0.39/0.61 (step @p74 :rule refl :args (@t17)) % 0.39/0.61 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args (@t18)) % 0.39/0.61 (step @p76 :rule refl :args (@t3)) % 0.39/0.61 (step @p77 :rule ho_cong :premises (@p76 @p75)) % 0.39/0.61 (step @p78 :rule cong :premises (@p77) :args (@t20)) % 0.39/0.61 (step @p79 :rule trans :premises (@p78 @p70)) % 0.39/0.61 (step @p80 :rule cong :premises (@p79) :args (@t21)) % 0.39/0.61 (step @p81 :rule trans :premises (@p80 @p40)) % 0.39/0.61 (step @p82 :rule eq_resolve :premises (@p11 @p81)) % 0.39/0.61 (step @p83 :rule evaluate :args ((not false))) % 0.39/0.61 (step @p84 :rule skolem_intro :args (@t38)) % 0.39/0.61 (step @p85 :rule cong :premises (@p84) :args (@t39)) % 0.39/0.61 (step @p86 :rule bool-eq-false :args (@t38)) % 0.39/0.61 (step @p87 :rule eq-symm :args (false @t38)) % 0.39/0.61 (step @p88 :rule trans :premises (@p87 @p86)) % 0.39/0.61 (step @p89 :rule trans :premises (@p88 @p85 @p83)) % 0.39/0.61 (step @p90 :rule true_elim :premises (@p89)) % 0.39/0.61 (step @p91 :rule refl :args (@t23)) % 0.39/0.61 (step @p92 :rule cong :premises (@p91 @p90) :args (@t40)) % 0.39/0.61 (step @p93 :rule cong :premises (@p92) :args (@t41)) % 0.39/0.61 (step @p94 :rule refl :args (@t32)) % 0.39/0.61 (step @p95 :rule cong :premises (@p94 @p93) :args ((=> @t32 @t41))) % 0.39/0.61 (step @p96 :rule absorb :args ((= (and @t43 @t42 false) false))) % 0.39/0.61 (step @p97 :rule evaluate :args ((not true))) % 0.39/0.61 (step @p98 :rule eq-refl :args (tptp.likes_THFTYPE_IiioI)) % 0.39/0.61 (step @p99 :rule cong :premises (@p98) :args (@t44)) % 0.39/0.61 (step @p100 :rule trans :premises (@p99 @p97)) % 0.39/0.61 (step @p101 :rule refl :args (@t42)) % 0.39/0.61 (step @p102 :rule refl :args (@t43)) % 0.39/0.61 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args (@t45)) % 0.39/0.61 (step @p104 :rule trans :premises (@p103 @p96)) % 0.39/0.61 (step @p105 :rule cong :premises (@p91 @p104) :args (@t46)) % 0.39/0.61 (step @p106 :rule cong :premises (@p105) :args (@t47)) % 0.39/0.61 (step @p107 :rule cong :premises (@p94 @p106) :args ((=> @t32 @t47))) % 0.39/0.61 (assume-push @p478 @t32) % 0.39/0.61 (step @p109 :rule instantiate :premises (@p82) :args ((@list tptp.likes_THFTYPE_IiioI tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i))) % 0.39/0.61 (step-pop @p479 :rule scope :premises (@p109)) % 0.39/0.61 (step @p110 :rule process_scope :premises (@p479) :args (@t47)) % 0.39/0.61 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 0.39/0.61 (step @p113 :rule eq_resolve :premises (@p112 @p95)) % 0.39/0.61 (step @p114 :rule implies_elim :premises (@p113)) % 0.39/0.61 (step @p115 :rule chain_m_resolution :premises (@p114 @p82) :args (@t49 @t50 @t51)) % 0.39/0.61 (step @p116 :rule eq_resolve :premises (@p84 @p86)) % 0.39/0.61 (step @p117 :rule eq-refl :args (@t58)) % 0.39/0.61 (step @p118 :rule skolem_intro :args (@t59)) % 0.39/0.61 (step @p119 :rule refl :args (@t58)) % 0.39/0.61 (step @p120 :rule cong :premises (@p119 @p118) :args (@t60)) % 0.39/0.61 (step @p121 :rule trans :premises (@p120 @p117)) % 0.39/0.61 (step @p122 :rule true_elim :premises (@p121)) % 0.39/0.61 (step @p123 :rule cong :premises (@p91 @p122) :args (@t61)) % 0.39/0.61 (step @p124 :rule cong :premises (@p123) :args (@t62)) % 0.39/0.61 (step @p125 :rule cong :premises (@p94 @p124) :args ((=> @t32 @t62))) % 0.39/0.61 (step @p126 :rule refl :args (@t55)) % 0.39/0.61 (step @p127 :rule refl :args (@t56)) % 0.39/0.61 (step @p128 :rule beta-reduce :args ((= @t63 @t57))) % 0.39/0.61 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126) :args (@t64)) % 0.39/0.61 (step @p130 :rule cong :premises (@p91 @p129) :args (@t65)) % 0.39/0.61 (step @p131 :rule cong :premises (@p130) :args (@t66)) % 0.39/0.61 (step @p132 :rule cong :premises (@p94 @p131) :args ((=> @t32 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(assume-push @p533 @t99) % 0.39/0.61 (step @p168 :rule evaluate :args (@t76)) % 0.39/0.61 (step @p169 :rule false_intro :premises (@p115)) % 0.39/0.61 (step @p381 :rule false_intro :premises (@p532)) % 0.39/0.61 (step @p382 :rule trans :premises (@p381 @p90)) % 0.39/0.61 (step @p383 :rule cong :premises (@p91 @p382) :args (@t99)) % 0.39/0.61 (step @p384 :rule true_intro :premises (@p373)) % 0.39/0.61 (step @p385 :rule symm :premises (@p384)) % 0.39/0.61 (step @p386 :rule trans :premises (@p385 @p383 @p169)) % 0.39/0.61 (step @p387 false :rule eq_resolve :premises (@p386 @p168)) % 0.39/0.61 (step-pop @p534 :rule scope :premises (@p387)) % 0.39/0.61 (step-pop @p535 :rule scope :premises (@p534)) % 0.39/0.61 (step-pop @p536 :rule scope :premises (@p535)) % 0.39/0.61 (step-pop @p537 :rule scope :premises (@p536)) % 0.39/0.61 (step @p388 :rule process_scope :premises (@p537) :args (false)) % 0.39/0.61 (assume-push @p538 @t99) % 0.39/0.61 (assume-push @p539 @t102) % 0.39/0.61 (assume-push @p540 @t49) % 0.39/0.61 (assume-push @p541 @t39) % 0.39/0.61 (step @p397 :rule and_intro :premises (@p115 @p116 @p539 @p373)) % 0.39/0.61 (step-pop @p542 :rule scope :premises (@p397)) % 0.39/0.61 (step-pop @p543 :rule scope :premises (@p542)) % 0.39/0.61 (step-pop @p544 :rule scope :premises (@p543)) % 0.39/0.61 (step-pop @p545 :rule scope :premises (@p544)) % 0.39/0.61 (step @p398 :rule process_scope :premises (@p545) :args (@t103)) % 0.39/0.61 (step @p403 :rule implies_elim :premises (@p398)) % 0.39/0.61 (step @p404 :rule resolution :premises (@p403 @p388) :args (true @t103)) % 0.39/0.61 (step @p405 :rule not_and :premises (@p404)) % 0.39/0.61 (step @p406 :rule eq_resolve :premises (@p405 @p376)) % 0.39/0.61 (step @p407 :rule reordering :premises (@p406) :args ((or @t98 @t101 @t38 @t48))) % 0.39/0.61 (step @p408 :rule chain_m_resolution :premises (@p407 @p373 @p116 @p115) :args (@t98 @t78 (@list @t99 @t38 @t48))) % 0.39/0.61 (step @p409 :rule eq-symm :args (@t95 @t98)) % 0.39/0.61 (step @p410 :rule refl :args (@t98)) % 0.39/0.61 (step @p411 :rule refl :args (@t95)) % 0.39/0.61 (step @p412 :rule refl :args (@t8)) % 0.39/0.61 (step @p413 :rule cong :premises (@p412 @p411) :args ((= @t8 @t95))) % 0.39/0.61 (step @p414 :rule symm :premises (@p413)) % 0.39/0.61 (step @p415 :rule eq_resolve :premises (@p412 @p414)) % 0.39/0.61 (step @p416 :rule cong :premises (@p415 @p410) :args (@t100)) % 0.39/0.61 (step @p417 :rule trans :premises (@p416 @p409)) % 0.39/0.61 (step @p418 :rule eq-symm :args (@t98 @t8)) % 0.39/0.61 (step @p419 :rule trans :premises (@p418 @p417)) % 0.39/0.61 (step @p420 :rule eq_resolve :premises (@p366 @p419)) % 0.39/0.61 (step @p421 :rule equiv_elim1 :premises (@p420)) % 0.39/0.61 (step @p422 :rule reordering :premises (@p421) :args ((or @t95 @t102))) % 0.39/0.61 (step @p423 :rule chain_m_resolution :premises (@p422 @p408) :args (@t95 @t50 (@list @t98))) % 0.39/0.61 (step @p424 :rule cnf_equiv_pos1 :args (@t97)) % 0.39/0.61 (step @p425 :rule reordering :premises (@p424) :args ((or @t94 (not @t95) (not @t97)))) % 0.39/0.61 (step @p426 :rule chain_m_resolution :premises (@p425 @p423 @p355) :args (@t94 (@list false false) (@list @t95 @t97))) % 0.39/0.61 (step @p427 :rule eq-symm :args (@t104 @t22)) % 0.39/0.61 (step @p428 :rule refl :args (@t22)) % 0.39/0.61 (step @p429 :rule refl :args (@t94)) % 0.39/0.61 (step @p430 :rule refl :args (@t9)) % 0.39/0.61 (step @p431 :rule cong :premises (@p430 @p429) :args ((= @t9 @t94))) % 0.39/0.61 (step @p432 :rule symm :premises (@p431)) % 0.39/0.61 (step @p433 :rule eq_resolve :premises (@p430 @p432)) % 0.39/0.61 (step @p434 :rule cong :premises (@p433) :args (@t10)) % 0.39/0.61 (step @p435 :rule cong :premises (@p434 @p428) :args (@t26)) % 0.39/0.61 (step @p436 :rule trans :premises (@p435 @p427)) % 0.39/0.61 (step @p437 :rule eq-symm :args (@t22 @t10)) % 0.39/0.61 (step @p438 :rule trans :premises (@p437 @p436)) % 0.39/0.61 (step @p439 :rule eq_resolve :premises (@p26 @p438)) % 0.39/0.61 (step @p440 :rule equiv_elim1 :premises (@p439)) % 0.39/0.61 (step @p441 :rule reordering :premises (@p440) :args ((or @t104 @t105))) % 0.39/0.61 (step @p442 :rule chain_m_resolution :premises (@p441 @p426) :args (@t105 @t50 (@list @t94))) % 0.39/0.61 (step @p443 :rule bool-double-not-elim :args (@t22)) % 0.39/0.61 (step @p444 :rule refl :args (@t106)) % 0.39/0.61 (step @p445 :rule nary_cong :premises (@p444 @p443 @p160 @p159) :args ((or @t106 (not @t105) @t74 @t73))) % 0.39/0.61 (assume-push @p546 @t49) % 0.39/0.61 (assume-push @p547 @t39) % 0.39/0.61 (assume-push @p548 @t105) % 0.39/0.61 (assume-push @p549 @t24) % 0.39/0.61 (step @p168 :rule evaluate :args (@t76)) % 0.39/0.61 (step @p169 :rule false_intro :premises (@p115)) % 0.39/0.61 (step @p450 :rule false_intro :premises (@p548)) % 0.39/0.61 (step @p451 :rule trans :premises (@p450 @p90)) % 0.39/0.61 (step @p452 :rule cong :premises (@p91 @p451) :args (@t24)) % 0.39/0.61 (step @p453 :rule true_intro :premises (@p39)) % 0.39/0.61 (step @p454 :rule symm :premises (@p453)) % 0.39/0.61 (step @p455 :rule trans :premises (@p454 @p452 @p169)) % 0.39/0.61 (step @p456 false :rule eq_resolve :premises (@p455 @p168)) % 0.39/0.61 (step-pop @p550 :rule scope :premises (@p456)) % 0.39/0.61 (step-pop @p551 :rule scope :premises (@p550)) % 0.39/0.61 (step-pop @p552 :rule scope :premises (@p551)) % 0.39/0.61 (step-pop @p553 :rule scope :premises (@p552)) % 0.39/0.61 (step @p457 :rule process_scope :premises (@p553) :args (false)) % 0.39/0.61 (assume-push @p554 @t24) % 0.39/0.61 (assume-push @p555 @t105) % 0.39/0.61 (assume-push @p556 @t49) % 0.39/0.61 (assume-push @p557 @t39) % 0.39/0.61 (step @p466 :rule and_intro :premises (@p115 @p116 @p555 @p39)) % 0.39/0.61 (step-pop @p558 :rule scope :premises (@p466)) % 0.39/0.61 (step-pop @p559 :rule scope :premises (@p558)) % 0.39/0.61 (step-pop @p560 :rule scope :premises (@p559)) % 0.39/0.61 (step-pop @p561 :rule scope :premises (@p560)) % 0.39/0.61 (step @p467 :rule process_scope :premises (@p561) :args (@t107)) % 0.39/0.61 (step @p472 :rule implies_elim :premises (@p467)) % 0.39/0.61 (step @p473 :rule resolution :premises (@p472 @p457) :args (true @t107)) % 0.39/0.61 (step @p474 :rule not_and :premises (@p473)) % 0.39/0.61 (step @p475 :rule eq_resolve :premises (@p474 @p445)) % 0.39/0.61 (step @p476 :rule reordering :premises (@p475) :args ((or @t22 @t106 @t38 @t48))) % 0.39/0.61 (step @p477 false :rule chain_m_resolution :premises (@p476 @p442 @p116 @p115 @p39) :args (false (@list true true true false) (@list @t22 @t38 @t48 @t24))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------