%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV400^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:55:54 AM UTC 2026 % Result : Theorem 2.32s 2.58s % Output : Proof 2.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEV400^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n013.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:31:30 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 2.32/2.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.32/2.58 % SZS status Theorem % 2.32/2.58 % SZS output start Proof % 2.32/2.58 ( % 2.32/2.58 (declare-sort $$unsorted 0) % 2.32/2.58 (declare-const tptp.cP (-> $$unsorted Bool)) % 2.32/2.58 (declare-const tptp.cQ (-> $$unsorted Bool)) % 2.32/2.58 (define @t1 () (@var "Xx" $$unsorted)) % 2.32/2.58 (define @t2 () (@var "S" (-> $$unsorted Bool))) % 2.32/2.58 (define @t3 () (_ @t2 @t1)) % 2.32/2.58 (define @t4 () (@var "R" (-> $$unsorted Bool))) % 2.32/2.58 (define @t5 () (_ @t4 @t1)) % 2.32/2.58 (define @t6 () (@list @t1)) % 2.32/2.58 (define @t7 () (forall @t6 (=> @t5 @t3))) % 2.32/2.58 (define @t8 () (_ tptp.cQ @t1)) % 2.32/2.58 (define @t9 () (forall @t6 (=> @t5 @t8))) % 2.32/2.58 (define @t10 () (_ tptp.cP @t1)) % 2.32/2.58 (define @t11 () (forall @t6 (=> @t5 @t10))) % 2.32/2.58 (define @t12 () (and @t11 @t9)) % 2.32/2.58 (define @t13 () (=> @t12 @t7)) % 2.32/2.58 (define @t14 () (@list @t4)) % 2.32/2.58 (define @t15 () (forall @t14 @t13)) % 2.32/2.58 (define @t16 () (forall @t6 (=> @t3 @t8))) % 2.32/2.58 (define @t17 () (forall @t6 (=> @t3 @t10))) % 2.32/2.58 (define @t18 () (and @t17 @t16 @t15)) % 2.32/2.58 (define @t19 () (@list @t2)) % 2.32/2.58 (define @t20 () (exists @t19 @t18)) % 2.32/2.58 (define @t21 () (not @t20)) % 2.32/2.58 (define @t22 () (@var "BOUND_VARIABLE_7472" $$unsorted)) % 2.32/2.58 (define @t23 () (_ @t2 @t22)) % 2.32/2.58 (define @t24 () (not (_ @t4 @t22))) % 2.32/2.58 (define @t25 () (tptp.cQ @t1)) % 2.32/2.58 (define @t26 () (_ @t4 @t1)) % 2.32/2.58 (define @t27 () (not @t26)) % 2.32/2.58 (define @t28 () (forall @t6 (or @t27 @t25))) % 2.32/2.58 (define @t29 () (not @t28)) % 2.32/2.58 (define @t30 () (tptp.cP @t1)) % 2.32/2.58 (define @t31 () (forall @t6 (or @t27 @t30))) % 2.32/2.58 (define @t32 () (not @t31)) % 2.32/2.58 (define @t33 () (or @t32 @t29 @t24 @t23)) % 2.32/2.58 (define @t34 () (@list @t4 @t22)) % 2.32/2.58 (define @t35 () (forall @t34 @t33)) % 2.32/2.58 (define @t36 () (not @t35)) % 2.32/2.58 (define @t37 () (_ @t2 @t1)) % 2.32/2.58 (define @t38 () (not @t37)) % 2.32/2.58 (define @t39 () (forall @t6 (or @t38 @t25))) % 2.32/2.58 (define @t40 () (not @t39)) % 2.32/2.58 (define @t41 () (forall @t6 (or @t38 @t30))) % 2.32/2.58 (define @t42 () (not @t41)) % 2.32/2.58 (define @t43 () (or @t42 @t40 @t36)) % 2.32/2.58 (define @t44 () (forall @t19 @t43)) % 2.32/2.58 (define @t45 () (and @t41 @t39 @t35)) % 2.32/2.58 (define @t46 () (forall @t19 (not @t45))) % 2.32/2.58 (define @t47 () (not @t46)) % 2.32/2.58 (define @t48 () (or @t24 @t23)) % 2.32/2.58 (define @t49 () (or @t32 @t29 @t48)) % 2.32/2.58 (define @t50 () (forall @t34 @t49)) % 2.32/2.58 (define @t51 () (@list @t22)) % 2.32/2.58 (define @t52 () (forall @t51 @t49)) % 2.32/2.58 (define @t53 () (forall @t51 @t48)) % 2.32/2.58 (define @t54 () (or @t32 @t29 @t53)) % 2.32/2.58 (define @t55 () (forall @t6 (or @t27 @t37))) % 2.32/2.58 (define @t56 () (or @t32 @t29 @t55)) % 2.32/2.58 (define @t57 () (and @t31 @t28)) % 2.32/2.58 (define @t58 () (not @t5)) % 2.32/2.58 (define @t59 () (or @t58 @t3)) % 2.32/2.58 (define @t60 () (or @t58 @t8)) % 2.32/2.58 (define @t61 () (or @t58 @t10)) % 2.32/2.58 (define @t62 () (not @t3)) % 2.32/2.58 (define @t63 () (or @t62 @t8)) % 2.32/2.58 (define @t64 () (or @t62 @t10)) % 2.32/2.58 (define @t65 () (and (tptp.cP @t22) (tptp.cQ @t22))) % 2.32/2.58 (define @t66 () (forall @t34 (or @t32 @t29 @t24 @t65))) % 2.32/2.58 (define @t67 () (not @t66)) % 2.32/2.58 (define @t68 () (@var "BOUND_VARIABLE_21653" $$unsorted)) % 2.32/2.58 (define @t69 () (lambda (@list @t68) (and (tptp.cP @t68) (tptp.cQ @t68)))) % 2.32/2.58 (define @t70 () (_ @t69 @t22)) % 2.32/2.58 (define @t71 () (or @t32 @t29 @t24 @t70)) % 2.32/2.58 (define @t72 () (forall @t34 @t71)) % 2.32/2.58 (define @t73 () (not @t72)) % 2.32/2.58 (define @t74 () (not @t30)) % 2.32/2.58 (define @t75 () (not @t25)) % 2.32/2.58 (define @t76 () (or @t74 @t75)) % 2.32/2.58 (define @t77 () (and @t30 @t25)) % 2.32/2.58 (define @t78 () (not @t77)) % 2.32/2.58 (define @t79 () (or @t78 @t25)) % 2.32/2.58 (define @t80 () (_ @t69 @t1)) % 2.32/2.58 (define @t81 () (not @t80)) % 2.32/2.58 (define @t82 () (or @t81 @t25)) % 2.32/2.58 (define @t83 () (forall @t6 @t82)) % 2.32/2.58 (define @t84 () (not @t83)) % 2.32/2.58 (define @t85 () (or @t78 @t30)) % 2.32/2.58 (define @t86 () (or @t81 @t30)) % 2.32/2.58 (define @t87 () (forall @t6 @t86)) % 2.32/2.58 (define @t88 () (not @t87)) % 2.32/2.58 (define @t89 () (or @t88 @t84 @t73)) % 2.32/2.58 (define @t90 () (@quantifiers_skolemize @t66 0)) % 2.32/2.58 (define @t91 () (not (_ @t90 @t1))) % 2.32/2.58 (define @t92 () (forall @t6 (or @t91 @t25))) % 2.32/2.58 (define @t93 () (@quantifiers_skolemize @t66 1)) % 2.32/2.58 (define @t94 () (tptp.cQ @t93)) % 2.32/2.58 (define @t95 () (tptp.cP @t93)) % 2.32/2.58 (define @t96 () (and @t95 @t94)) % 2.32/2.58 (define @t97 () (_ @t90 @t93)) % 2.32/2.58 (define @t98 () (not @t97)) % 2.32/2.58 (define @t99 () (not @t92)) % 2.32/2.58 (define @t100 () (forall @t6 (or @t91 @t30))) % 2.32/2.58 (define @t101 () (not @t100)) % 2.32/2.58 (define @t102 () (or @t101 @t99 @t98 @t96)) % 2.32/2.58 (define @t103 () (@list true)) % 2.32/2.58 (define @t104 () (@list @t102)) % 2.32/2.58 (define @t105 () (@list @t93)) % 2.32/2.58 (define @t106 () (or @t98 @t95)) % 2.32/2.58 (define @t107 () (@list true false)) % 2.32/2.58 (define @t108 () (or @t98 @t94)) % 2.32/2.58 (define @t109 () (not @t108)) % 2.32/2.58 (assume @p1 @t21) % 2.32/2.58 (assume @p2 true) % 2.32/2.58 (step @p3 :rule bool-double-not-elim :args (@t44)) % 2.32/2.58 (step @p4 :rule aci_norm :args ((= (or @t42 (or @t40 @t36)) @t43))) % 2.32/2.58 (step @p5 :rule bool-and-de-morgan :args (@t39 @t35 true)) % 2.32/2.58 (step @p6 :rule refl :args (@t42)) % 2.32/2.58 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or @t42 (not (and @t39 @t35))))) % 2.32/2.58 (step @p8 :rule bool-and-de-morgan :args (@t41 @t39 (and @t35))) % 2.32/2.58 (step @p9 :rule trans :premises (@p8 @p7)) % 2.32/2.58 (step @p10 :rule trans :premises (@p9 @p4)) % 2.32/2.58 (step @p11 :rule cong :premises (@p10) :args (@t46)) % 2.32/2.58 (step @p12 :rule cong :premises (@p11) :args (@t47)) % 2.32/2.58 (step @p13 :rule exists-elim :args ((= (exists @t19 @t45) @t47))) % 2.32/2.58 (step @p14 :rule trans :premises (@p13 @p12)) % 2.32/2.58 (step @p15 :rule aci_norm :args ((= @t49 @t33))) % 2.32/2.58 (step @p16 :rule cong :premises (@p15) :args (@t50)) % 2.32/2.58 (step @p17 :rule quant-merge-prenex :args ((= (forall @t14 @t52) @t50))) % 2.32/2.58 (step @p18 :rule alpha_equiv :args (@t53 (@list @t22) (@list @t1))) % 2.32/2.58 (step @p19 :rule refl :args (@t29)) % 2.32/2.58 (step @p20 :rule refl :args (@t32)) % 2.32/2.58 (step @p21 :rule nary_cong :premises (@p20 @p19 @p18) :args (@t54)) % 2.32/2.58 (step @p22 :rule quant-miniscope-or :args ((= @t52 @t54))) % 2.32/2.58 (step @p23 :rule trans :premises (@p22 @p21)) % 2.32/2.58 (step @p24 :rule symm :premises (@p23)) % 2.32/2.58 (step @p25 :rule cong :premises (@p24) :args ((forall @t14 @t56))) % 2.32/2.58 (step @p26 :rule trans :premises (@p25 @p17)) % 2.32/2.58 (step @p27 :rule trans :premises (@p26 @p16)) % 2.32/2.58 (step @p28 :rule aci_norm :args ((= (or (or @t32 @t29) @t55) @t56))) % 2.32/2.58 (step @p29 :rule refl :args (@t55)) % 2.32/2.58 (step @p30 :rule bool-and-de-morgan :args (@t31 @t28 true)) % 2.32/2.58 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t57) @t55))) % 2.32/2.58 (step @p32 :rule trans :premises (@p31 @p28)) % 2.32/2.58 (step @p33 :rule bool-impl-elim :args (@t57 @t55)) % 2.32/2.58 (step @p34 :rule trans :premises (@p33 @p32)) % 2.32/2.58 (step @p35 :rule cong :premises (@p34) :args ((forall @t14 (=> @t57 @t55)))) % 2.32/2.58 (step @p36 :rule trans :premises (@p35 @p27)) % 2.32/2.58 (step @p37 :rule refl :args (@t37)) % 2.32/2.58 (step @p38 :rule refl :args (@t3)) % 2.32/2.58 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t3 @t37))) % 2.32/2.58 (step @p40 :rule symm :premises (@p39)) % 2.32/2.58 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 2.32/2.58 (step @p42 :rule refl :args (@t26)) % 2.32/2.58 (step @p43 :rule refl :args (@t5)) % 2.32/2.58 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t5 @t26))) % 2.32/2.58 (step @p45 :rule symm :premises (@p44)) % 2.32/2.58 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 2.32/2.58 (step @p47 :rule cong :premises (@p46) :args (@t58)) % 2.32/2.58 (step @p48 :rule nary_cong :premises (@p47 @p41) :args (@t59)) % 2.32/2.58 (step @p49 :rule cong :premises (@p48) :args ((forall @t6 @t59))) % 2.32/2.58 (step @p50 :rule bool-impl-elim :args (@t5 @t3)) % 2.32/2.58 (step @p51 :rule cong :premises (@p50) :args (@t7)) % 2.32/2.58 (step @p52 :rule trans :premises (@p51 @p49)) % 2.32/2.58 (step @p53 :rule refl :args (@t25)) % 2.32/2.58 (step @p54 :rule refl :args (@t8)) % 2.32/2.58 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t8 @t25))) % 2.32/2.58 (step @p56 :rule symm :premises (@p55)) % 2.32/2.58 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 2.32/2.58 (step @p58 :rule nary_cong :premises (@p47 @p57) :args (@t60)) % 2.32/2.58 (step @p59 :rule cong :premises (@p58) :args ((forall @t6 @t60))) % 2.32/2.58 (step @p60 :rule bool-impl-elim :args (@t5 @t8)) % 2.32/2.58 (step @p61 :rule cong :premises (@p60) :args (@t9)) % 2.32/2.58 (step @p62 :rule trans :premises (@p61 @p59)) % 2.32/2.58 (step @p63 :rule refl :args (@t30)) % 2.32/2.58 (step @p64 :rule refl :args (@t10)) % 2.32/2.58 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t10 @t30))) % 2.32/2.58 (step @p66 :rule symm :premises (@p65)) % 2.32/2.58 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 2.32/2.58 (step @p68 :rule nary_cong :premises (@p47 @p67) :args (@t61)) % 2.32/2.58 (step @p69 :rule cong :premises (@p68) :args ((forall @t6 @t61))) % 2.32/2.58 (step @p70 :rule bool-impl-elim :args (@t5 @t10)) % 2.32/2.58 (step @p71 :rule cong :premises (@p70) :args (@t11)) % 2.32/2.58 (step @p72 :rule trans :premises (@p71 @p69)) % 2.32/2.58 (step @p73 :rule nary_cong :premises (@p72 @p62) :args (@t12)) % 2.32/2.58 (step @p74 :rule cong :premises (@p73 @p52) :args (@t13)) % 2.32/2.58 (step @p75 :rule cong :premises (@p74) :args (@t15)) % 2.32/2.58 (step @p76 :rule trans :premises (@p75 @p36)) % 2.32/2.58 (step @p77 :rule cong :premises (@p41) :args (@t62)) % 2.32/2.58 (step @p78 :rule nary_cong :premises (@p77 @p57) :args (@t63)) % 2.32/2.58 (step @p79 :rule cong :premises (@p78) :args ((forall @t6 @t63))) % 2.32/2.58 (step @p80 :rule bool-impl-elim :args (@t3 @t8)) % 2.32/2.58 (step @p81 :rule cong :premises (@p80) :args (@t16)) % 2.32/2.58 (step @p82 :rule trans :premises (@p81 @p79)) % 2.32/2.58 (step @p83 :rule nary_cong :premises (@p77 @p67) :args (@t64)) % 2.32/2.58 (step @p84 :rule cong :premises (@p83) :args ((forall @t6 @t64))) % 2.32/2.58 (step @p85 :rule bool-impl-elim :args (@t3 @t10)) % 2.32/2.58 (step @p86 :rule cong :premises (@p85) :args (@t17)) % 2.32/2.58 (step @p87 :rule trans :premises (@p86 @p84)) % 2.32/2.58 (step @p88 :rule nary_cong :premises (@p87 @p82 @p76) :args (@t18)) % 2.32/2.58 (step @p89 :rule cong :premises (@p88) :args (@t20)) % 2.32/2.58 (step @p90 :rule trans :premises (@p89 @p14)) % 2.32/2.58 (step @p91 :rule cong :premises (@p90) :args (@t21)) % 2.32/2.58 (step @p92 :rule trans :premises (@p91 @p3)) % 2.32/2.58 (step @p93 :rule eq_resolve :premises (@p1 @p92)) % 2.32/2.58 (step @p94 :rule aci_norm :args ((= (or false false @t67) @t67))) % 2.32/2.58 (step @p95 :rule beta-reduce :args ((= @t70 @t65))) % 2.32/2.58 (step @p96 :rule refl :args (@t24)) % 2.32/2.58 (step @p97 :rule refl :args (@t29)) % 2.32/2.58 (step @p98 :rule refl :args (@t32)) % 2.32/2.58 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95) :args (@t71)) % 2.32/2.58 (step @p100 :rule cong :premises (@p99) :args (@t72)) % 2.32/2.58 (step @p101 :rule cong :premises (@p100) :args (@t73)) % 2.32/2.58 (step @p102 :rule evaluate :args ((not true))) % 2.32/2.58 (step @p103 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 2.32/2.58 (step @p104 :rule bool-or-taut2 :args ((or @t74) @t25 false false)) % 2.32/2.58 (step @p105 :rule aci_norm :args ((= (or @t76 @t25) (or @t74 @t75 @t25)))) % 2.32/2.58 (step @p106 :rule trans :premises (@p105 @p104)) % 2.32/2.58 (step @p107 :rule refl :args (@t25)) % 2.32/2.58 (step @p108 :rule bool-and-de-morgan :args (@t30 @t25 true)) % 2.32/2.58 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t79)) % 2.32/2.58 (step @p110 :rule trans :premises (@p109 @p106)) % 2.32/2.58 (step @p111 :rule cong :premises (@p110) :args ((forall @t6 @t79))) % 2.32/2.58 (step @p112 :rule trans :premises (@p111 @p103)) % 2.32/2.58 (step @p113 :rule refl :args (@t25)) % 2.32/2.58 (step @p114 :rule beta-reduce :args ((= @t80 @t77))) % 2.32/2.58 (step @p115 :rule cong :premises (@p114) :args (@t81)) % 2.32/2.58 (step @p116 :rule nary_cong :premises (@p115 @p113) :args (@t82)) % 2.32/2.58 (step @p117 :rule cong :premises (@p116) :args (@t83)) % 2.32/2.58 (step @p118 :rule trans :premises (@p117 @p112)) % 2.32/2.58 (step @p119 :rule cong :premises (@p118) :args (@t84)) % 2.32/2.58 (step @p120 :rule trans :premises (@p119 @p102)) % 2.32/2.58 (step @p121 :rule bool-or-taut2 :args (false @t30 (or @t75) false)) % 2.32/2.58 (step @p122 :rule aci_norm :args ((= (or @t76 @t30) (or @t74 @t75 @t30)))) % 2.32/2.58 (step @p123 :rule trans :premises (@p122 @p121)) % 2.32/2.58 (step @p124 :rule refl :args (@t30)) % 2.32/2.58 (step @p125 :rule nary_cong :premises (@p108 @p124) :args (@t85)) % 2.32/2.58 (step @p126 :rule trans :premises (@p125 @p123)) % 2.32/2.58 (step @p127 :rule cong :premises (@p126) :args ((forall @t6 @t85))) % 2.32/2.58 (step @p128 :rule trans :premises (@p127 @p103)) % 2.32/2.58 (step @p129 :rule refl :args (@t30)) % 2.32/2.58 (step @p130 :rule nary_cong :premises (@p115 @p129) :args (@t86)) % 2.32/2.58 (step @p131 :rule cong :premises (@p130) :args (@t87)) % 2.32/2.58 (step @p132 :rule trans :premises (@p131 @p128)) % 2.32/2.58 (step @p133 :rule cong :premises (@p132) :args (@t88)) % 2.32/2.58 (step @p134 :rule trans :premises (@p133 @p102)) % 2.32/2.58 (step @p135 :rule nary_cong :premises (@p134 @p120 @p101) :args (@t89)) % 2.32/2.58 (step @p136 :rule trans :premises (@p135 @p94)) % 2.32/2.58 (step @p137 :rule refl :args (@t44)) % 2.32/2.58 (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t44 @t89))) % 2.32/2.58 (assume-push @p183 @t44) % 2.32/2.58 (step @p140 :rule instantiate :premises (@p93) :args ((@list @t69))) % 2.32/2.58 (step-pop @p184 :rule scope :premises (@p140)) % 2.32/2.58 (step @p141 :rule process_scope :premises (@p184) :args (@t89)) % 2.32/2.58 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 2.32/2.58 (step @p144 :rule implies_elim :premises (@p143)) % 2.32/2.58 (step @p145 :rule chain_m_resolution :premises (@p144 @p93) :args (@t67 (@list false) (@list @t44))) % 2.32/2.58 (step @p146 :rule skolemize :premises (@p145)) % 2.32/2.58 (step @p147 :rule bool-double-not-elim :args (@t92)) % 2.32/2.58 (step @p148 :rule refl :args (@t102)) % 2.32/2.58 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t102 (not @t99)))) % 2.32/2.58 (step @p150 :rule cnf_or_neg :args (@t102 1)) % 2.32/2.58 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 2.32/2.58 (step @p152 :rule reordering :premises (@p151) :args ((or @t92 @t102))) % 2.32/2.58 (step @p153 :rule chain_m_resolution :premises (@p152 @p146) :args (@t92 @t103 @t104)) % 2.32/2.58 (step @p154 :rule bool-double-not-elim :args (@t100)) % 2.32/2.58 (step @p155 :rule nary_cong :premises (@p148 @p154) :args ((or @t102 (not @t101)))) % 2.32/2.58 (step @p156 :rule cnf_or_neg :args (@t102 0)) % 2.32/2.58 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 2.32/2.58 (step @p158 :rule reordering :premises (@p157) :args ((or @t100 @t102))) % 2.32/2.58 (step @p159 :rule chain_m_resolution :premises (@p158 @p146) :args (@t100 @t103 @t104)) % 2.32/2.58 (step @p160 :rule instantiate :premises (@p159) :args (@t105)) % 2.32/2.58 (step @p161 :rule bool-double-not-elim :args (@t97)) % 2.32/2.58 (step @p162 :rule nary_cong :premises (@p148 @p161) :args ((or @t102 (not @t98)))) % 2.32/2.58 (step @p163 :rule cnf_or_neg :args (@t102 2)) % 2.32/2.58 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 2.32/2.58 (step @p165 :rule reordering :premises (@p164) :args ((or @t97 @t102))) % 2.32/2.58 (step @p166 :rule chain_m_resolution :premises (@p165 @p146) :args (@t97 @t103 @t104)) % 2.32/2.58 (step @p167 :rule cnf_or_pos :args (@t106)) % 2.32/2.58 (step @p168 :rule reordering :premises (@p167) :args ((or @t98 @t95 (not @t106)))) % 2.32/2.58 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p160) :args (@t95 (@list false false) (@list @t97 @t106))) % 2.32/2.58 (step @p170 :rule cnf_or_neg :args (@t102 3)) % 2.32/2.58 (step @p171 :rule chain_m_resolution :premises (@p170 @p146) :args ((not @t96) @t103 @t104)) % 2.32/2.58 (step @p172 :rule cnf_and_neg :args (@t96)) % 2.32/2.58 (step @p173 :rule chain_m_resolution :premises (@p172 @p171 @p169) :args ((not @t94) @t107 (@list @t96 @t95))) % 2.32/2.58 (step @p174 :rule cnf_or_pos :args (@t108)) % 2.32/2.58 (step @p175 :rule reordering :premises (@p174) :args ((or @t98 @t94 @t109))) % 2.32/2.58 (step @p176 :rule chain_m_resolution :premises (@p175 @p166 @p173) :args (@t109 (@list false true) (@list @t97 @t94))) % 2.32/2.58 (assume-push @p185 @t92) % 2.32/2.58 (step @p178 :rule instantiate :premises (@p153) :args (@t105)) % 2.32/2.58 (step-pop @p186 :rule scope :premises (@p178)) % 2.32/2.58 (step @p179 :rule process_scope :premises (@p186) :args (@t108)) % 2.32/2.58 (step @p181 :rule implies_elim :premises (@p179)) % 2.32/2.58 (step @p182 false :rule chain_m_resolution :premises (@p181 @p176 @p153) :args (false @t107 (@list @t108 @t92))) % 2.32/2.58 ) % 2.32/2.58 % SZS output end Proof % 2.32/2.58 % cvc5 exiting %------------------------------------------------------------------------------