%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN365^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 09:08:42 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN365^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 : Tue Jun 2 23:25:02 EDT 2026 % 0.16/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.39/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.cR (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.39/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.39/0.57 (define @t2 () (_ tptp.cP @t1)) % 0.39/0.57 (define @t3 () (@var "Xx" $$unsorted)) % 0.39/0.57 (define @t4 () (_ tptp.cR @t3)) % 0.39/0.57 (define @t5 () (_ @t4 @t1)) % 0.39/0.57 (define @t6 () (and @t5 @t2)) % 0.39/0.57 (define @t7 () (@list @t1)) % 0.39/0.57 (define @t8 () (exists @t7 @t6)) % 0.39/0.57 (define @t9 () (_ tptp.cP @t3)) % 0.39/0.57 (define @t10 () (=> @t9 @t8)) % 0.39/0.57 (define @t11 () (@list @t3)) % 0.39/0.57 (define @t12 () (forall @t11 @t10)) % 0.39/0.57 (define @t13 () (@var "Xw" $$unsorted)) % 0.39/0.57 (define @t14 () (_ tptp.h @t13)) % 0.39/0.57 (define @t15 () (_ tptp.cP @t14)) % 0.39/0.57 (define @t16 () (_ tptp.g @t13)) % 0.39/0.57 (define @t17 () (_ tptp.cP @t16)) % 0.39/0.57 (define @t18 () (and @t17 @t15)) % 0.39/0.57 (define @t19 () (_ tptp.cP @t13)) % 0.39/0.57 (define @t20 () (@list @t13)) % 0.39/0.57 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.39/0.57 (define @t22 () (_ @t4 (_ tptp.g (_ tptp.h @t1)))) % 0.39/0.57 (define @t23 () (and @t22 @t2)) % 0.39/0.57 (define @t24 () (=> @t9 @t23)) % 0.39/0.57 (define @t25 () (exists @t7 @t24)) % 0.39/0.57 (define @t26 () (forall @t11 @t25)) % 0.39/0.57 (define @t27 () (and @t26 @t21)) % 0.39/0.57 (define @t28 () (=> @t27 @t12)) % 0.39/0.57 (define @t29 () (not @t28)) % 0.39/0.57 (define @t30 () (tptp.cP @t1)) % 0.39/0.57 (define @t31 () (not @t30)) % 0.39/0.57 (define @t32 () (tptp.cR @t3 @t1)) % 0.39/0.57 (define @t33 () (not (forall @t7 (or (not @t32) @t31)))) % 0.39/0.57 (define @t34 () (tptp.cP @t3)) % 0.39/0.57 (define @t35 () (not @t9)) % 0.39/0.57 (define @t36 () (or @t35 @t33)) % 0.39/0.57 (define @t37 () (not @t2)) % 0.39/0.57 (define @t38 () (not @t5)) % 0.39/0.57 (define @t39 () (or @t38 @t37)) % 0.39/0.57 (define @t40 () (forall @t7 (not @t6))) % 0.39/0.57 (define @t41 () (not @t40)) % 0.39/0.57 (define @t42 () (tptp.h @t13)) % 0.39/0.57 (define @t43 () (tptp.cP @t42)) % 0.39/0.57 (define @t44 () (tptp.g @t13)) % 0.39/0.57 (define @t45 () (tptp.cP @t44)) % 0.39/0.57 (define @t46 () (tptp.cP @t13)) % 0.39/0.57 (define @t47 () (not @t19)) % 0.39/0.57 (define @t48 () (or @t47 @t18)) % 0.39/0.57 (define @t49 () (@var "BOUND_VARIABLE_7454" $$unsorted)) % 0.39/0.57 (define @t50 () (tptp.cP @t49)) % 0.39/0.57 (define @t51 () (not @t50)) % 0.39/0.57 (define @t52 () (tptp.h @t49)) % 0.39/0.57 (define @t53 () (tptp.g @t52)) % 0.39/0.57 (define @t54 () (tptp.cR @t3 @t53)) % 0.39/0.57 (define @t55 () (@list @t49)) % 0.39/0.57 (define @t56 () (forall @t55 (or (not @t54) @t51))) % 0.39/0.57 (define @t57 () (not @t56)) % 0.39/0.57 (define @t58 () (or @t35 @t57)) % 0.39/0.57 (define @t59 () (_ tptp.cP @t49)) % 0.39/0.57 (define @t60 () (not @t59)) % 0.39/0.57 (define @t61 () (_ tptp.h @t49)) % 0.39/0.57 (define @t62 () (_ tptp.g @t61)) % 0.39/0.57 (define @t63 () (_ @t4 @t62)) % 0.39/0.57 (define @t64 () (not @t63)) % 0.39/0.57 (define @t65 () (or @t64 @t60)) % 0.39/0.57 (define @t66 () (forall @t55 @t65)) % 0.39/0.57 (define @t67 () (or (not @t22) @t37)) % 0.39/0.57 (define @t68 () (forall @t7 @t67)) % 0.39/0.57 (define @t69 () (forall @t7 @t9)) % 0.39/0.57 (define @t70 () (and @t69 @t68)) % 0.39/0.57 (define @t71 () (forall @t7 (not @t24))) % 0.39/0.57 (define @t72 () (not @t71)) % 0.39/0.57 (define @t73 () (@quantifiers_skolemize (forall @t11 (or (not @t34) @t33)) 0)) % 0.39/0.57 (define @t74 () (forall @t55 (or (not (tptp.cR @t73 @t53)) @t51))) % 0.39/0.57 (define @t75 () (@quantifiers_skolemize @t74 0)) % 0.39/0.57 (define @t76 () (tptp.h @t75)) % 0.39/0.57 (define @t77 () (tptp.cP @t73)) % 0.39/0.57 (define @t78 () (forall @t7 (or (not (tptp.cR @t73 @t1)) @t31))) % 0.39/0.57 (define @t79 () (not @t78)) % 0.39/0.57 (define @t80 () (not @t77)) % 0.39/0.57 (define @t81 () (or @t80 @t79)) % 0.39/0.57 (define @t82 () (@list true)) % 0.39/0.57 (define @t83 () (@list @t81)) % 0.39/0.57 (define @t84 () (not @t74)) % 0.39/0.57 (define @t85 () (or @t80 @t84)) % 0.39/0.57 (define @t86 () (@list false false)) % 0.39/0.57 (define @t87 () (tptp.cP @t75)) % 0.39/0.57 (define @t88 () (not @t87)) % 0.39/0.57 (define @t89 () (tptp.g @t76)) % 0.39/0.57 (define @t90 () (tptp.cR @t73 @t89)) % 0.39/0.57 (define @t91 () (not @t90)) % 0.39/0.57 (define @t92 () (or @t91 @t88)) % 0.39/0.57 (define @t93 () (@list @t92)) % 0.39/0.57 (define @t94 () (tptp.cP @t76)) % 0.39/0.57 (define @t95 () (and (tptp.cP (tptp.g @t75)) @t94)) % 0.39/0.57 (define @t96 () (or @t88 @t95)) % 0.39/0.57 (define @t97 () (tptp.cP @t89)) % 0.39/0.57 (define @t98 () (not @t97)) % 0.39/0.57 (define @t99 () (or @t91 @t98)) % 0.39/0.57 (define @t100 () (and @t97 (tptp.cP (tptp.h @t76)))) % 0.39/0.57 (define @t101 () (not @t100)) % 0.39/0.57 (define @t102 () (not @t94)) % 0.39/0.57 (define @t103 () (or @t102 @t100)) % 0.39/0.57 (assume @p1 @t29) % 0.39/0.57 (assume @p2 true) % 0.39/0.57 (step @p3 :rule refl :args (@t33)) % 0.39/0.57 (step @p4 :rule refl :args (@t34)) % 0.39/0.57 (step @p5 :rule refl :args (@t9)) % 0.39/0.57 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t9 @t34))) % 0.39/0.57 (step @p7 :rule symm :premises (@p6)) % 0.39/0.57 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.39/0.57 (step @p9 :rule cong :premises (@p8) :args (@t35)) % 0.39/0.57 (step @p10 :rule nary_cong :premises (@p9 @p3) :args (@t36)) % 0.39/0.57 (step @p11 :rule cong :premises (@p10) :args ((forall @t11 @t36))) % 0.39/0.57 (step @p12 :rule bool-impl-elim :args (@t9 @t33)) % 0.39/0.57 (step @p13 :rule cong :premises (@p12) :args ((forall @t11 (=> @t9 @t33)))) % 0.39/0.57 (step @p14 :rule trans :premises (@p13 @p11)) % 0.39/0.57 (step @p15 :rule refl :args (@t30)) % 0.39/0.57 (step @p16 :rule refl :args (@t2)) % 0.39/0.57 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t2 @t30))) % 0.39/0.57 (step @p18 :rule symm :premises (@p17)) % 0.39/0.57 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.39/0.57 (step @p20 :rule cong :premises (@p19) :args (@t37)) % 0.39/0.57 (step @p21 :rule refl :args (@t32)) % 0.39/0.57 (step @p22 :rule refl :args (@t5)) % 0.39/0.57 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t5 @t32))) % 0.39/0.57 (step @p24 :rule symm :premises (@p23)) % 0.39/0.57 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.39/0.57 (step @p26 :rule cong :premises (@p25) :args (@t38)) % 0.39/0.57 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t39)) % 0.39/0.57 (step @p28 :rule cong :premises (@p27) :args ((forall @t7 @t39))) % 0.39/0.57 (step @p29 :rule bool-and-de-morgan :args (@t5 @t2 true)) % 0.39/0.57 (step @p30 :rule cong :premises (@p29) :args (@t40)) % 0.39/0.57 (step @p31 :rule trans :premises (@p30 @p28)) % 0.39/0.57 (step @p32 :rule cong :premises (@p31) :args (@t41)) % 0.39/0.57 (step @p33 :rule exists-elim :args ((= @t8 @t41))) % 0.39/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.39/0.57 (step @p35 :rule refl :args (@t9)) % 0.39/0.57 (step @p36 :rule cong :premises (@p35 @p34) :args (@t10)) % 0.39/0.57 (step @p37 :rule cong :premises (@p36) :args (@t12)) % 0.39/0.57 (step @p38 :rule trans :premises (@p37 @p14)) % 0.39/0.57 (step @p39 :rule refl :args ((tptp.cP @t14))) % 0.39/0.57 (step @p40 :rule refl :args (@t42)) % 0.39/0.57 (step @p41 :rule cong :premises (@p40) :args (@t43)) % 0.39/0.57 (step @p42 :rule trans :premises (@p41 @p39)) % 0.39/0.57 (step @p43 :rule refl :args (tptp.cP)) % 0.39/0.57 (step @p44 :rule ho_cong :premises (@p43 @p40)) % 0.39/0.57 (step @p45 :rule cong :premises (@p44 @p42) :args ((= (_ tptp.cP @t42) @t43))) % 0.39/0.57 (step @p46 :rule symm :premises (@p45)) % 0.39/0.57 (step @p47 :rule refl :args (@t15)) % 0.39/0.57 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.39/0.57 (step @p49 :rule refl :args (@t14)) % 0.39/0.57 (step @p50 :rule cong :premises (@p49 @p40) :args ((= @t14 @t42))) % 0.39/0.57 (step @p51 :rule symm :premises (@p50)) % 0.39/0.57 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.39/0.57 (step @p53 :rule ho_cong :premises (@p43 @p52)) % 0.39/0.57 (step @p54 :rule trans :premises (@p53 @p48)) % 0.39/0.57 (step @p55 :rule refl :args ((tptp.cP @t16))) % 0.39/0.57 (step @p56 :rule refl :args (@t44)) % 0.39/0.57 (step @p57 :rule cong :premises (@p56) :args (@t45)) % 0.39/0.57 (step @p58 :rule trans :premises (@p57 @p55)) % 0.39/0.57 (step @p59 :rule ho_cong :premises (@p43 @p56)) % 0.39/0.57 (step @p60 :rule cong :premises (@p59 @p58) :args ((= (_ tptp.cP @t44) @t45))) % 0.39/0.57 (step @p61 :rule symm :premises (@p60)) % 0.39/0.57 (step @p62 :rule refl :args (@t17)) % 0.39/0.57 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.39/0.57 (step @p64 :rule refl :args (@t16)) % 0.39/0.57 (step @p65 :rule cong :premises (@p64 @p56) :args ((= @t16 @t44))) % 0.39/0.57 (step @p66 :rule symm :premises (@p65)) % 0.39/0.57 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.39/0.57 (step @p68 :rule ho_cong :premises (@p43 @p67)) % 0.39/0.57 (step @p69 :rule trans :premises (@p68 @p63)) % 0.39/0.57 (step @p70 :rule nary_cong :premises (@p69 @p54) :args (@t18)) % 0.39/0.57 (step @p71 :rule refl :args (@t46)) % 0.39/0.57 (step @p72 :rule refl :args (@t19)) % 0.39/0.57 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t19 @t46))) % 0.39/0.57 (step @p74 :rule symm :premises (@p73)) % 0.39/0.57 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.39/0.57 (step @p76 :rule cong :premises (@p75) :args (@t47)) % 0.39/0.57 (step @p77 :rule nary_cong :premises (@p76 @p70) :args (@t48)) % 0.39/0.57 (step @p78 :rule cong :premises (@p77) :args ((forall @t20 @t48))) % 0.39/0.57 (step @p79 :rule bool-impl-elim :args (@t19 @t18)) % 0.39/0.57 (step @p80 :rule cong :premises (@p79) :args (@t21)) % 0.39/0.57 (step @p81 :rule trans :premises (@p80 @p78)) % 0.39/0.57 (step @p82 :rule refl :args (@t57)) % 0.39/0.57 (step @p83 :rule nary_cong :premises (@p9 @p82) :args (@t58)) % 0.39/0.57 (step @p84 :rule cong :premises (@p83) :args ((forall @t11 @t58))) % 0.39/0.57 (step @p85 :rule bool-and-de-morgan :args (@t9 @t56 true)) % 0.39/0.57 (step @p86 :rule cong :premises (@p85) :args ((forall @t11 (not (and @t9 @t56))))) % 0.39/0.57 (step @p87 :rule trans :premises (@p86 @p84)) % 0.39/0.57 (step @p88 :rule refl :args (@t50)) % 0.39/0.57 (step @p89 :rule refl :args (@t59)) % 0.39/0.57 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t59 @t50))) % 0.39/0.57 (step @p91 :rule symm :premises (@p90)) % 0.39/0.57 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 0.39/0.57 (step @p93 :rule cong :premises (@p92) :args (@t60)) % 0.39/0.57 (step @p94 :rule refl :args ((tptp.cR @t3 @t62))) % 0.39/0.57 (step @p95 :rule refl :args ((tptp.g @t61))) % 0.39/0.57 (step @p96 :rule refl :args (@t52)) % 0.39/0.57 (step @p97 :rule cong :premises (@p96) :args (@t53)) % 0.39/0.57 (step @p98 :rule trans :premises (@p97 @p95)) % 0.39/0.57 (step @p99 :rule refl :args (@t3)) % 0.39/0.57 (step @p100 :rule cong :premises (@p99 @p98) :args (@t54)) % 0.39/0.57 (step @p101 :rule trans :premises (@p100 @p94)) % 0.39/0.57 (step @p102 :rule refl :args (@t4)) % 0.39/0.57 (step @p103 :rule ho_cong :premises (@p102 @p98)) % 0.39/0.57 (step @p104 :rule cong :premises (@p103 @p101) :args ((= (_ @t4 @t53) @t54))) % 0.39/0.57 (step @p105 :rule symm :premises (@p104)) % 0.39/0.57 (step @p106 :rule refl :args (@t63)) % 0.39/0.57 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.39/0.57 (step @p108 :rule refl :args (tptp.g)) % 0.39/0.57 (step @p109 :rule ho_cong :premises (@p108 @p96)) % 0.39/0.57 (step @p110 :rule cong :premises (@p109 @p98) :args ((= (_ tptp.g @t52) @t53))) % 0.39/0.57 (step @p111 :rule symm :premises (@p110)) % 0.39/0.57 (step @p112 :rule refl :args (@t62)) % 0.39/0.57 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.39/0.57 (step @p114 :rule refl :args (@t61)) % 0.39/0.57 (step @p115 :rule cong :premises (@p114 @p96) :args ((= @t61 @t52))) % 0.39/0.57 (step @p116 :rule symm :premises (@p115)) % 0.39/0.57 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 0.39/0.57 (step @p118 :rule ho_cong :premises (@p108 @p117)) % 0.39/0.57 (step @p119 :rule trans :premises (@p118 @p113)) % 0.39/0.57 (step @p120 :rule ho_cong :premises (@p102 @p119)) % 0.39/0.57 (step @p121 :rule trans :premises (@p120 @p107)) % 0.39/0.57 (step @p122 :rule cong :premises (@p121) :args (@t64)) % 0.39/0.57 (step @p123 :rule nary_cong :premises (@p122 @p93) :args (@t65)) % 0.39/0.57 (step @p124 :rule cong :premises (@p123) :args (@t66)) % 0.39/0.57 (step @p125 :rule nary_cong :premises (@p35 @p124) :args ((and @t9 @t66))) % 0.39/0.57 (step @p126 :rule alpha_equiv :args (@t68 (@list @t1) (@list @t49))) % 0.39/0.57 (step @p127 :rule quant-unused-vars :args ((= @t69 @t9))) % 0.39/0.57 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t70)) % 0.39/0.57 (step @p129 :rule quant-miniscope-and :args ((= (forall @t7 (and @t9 @t67)) @t70))) % 0.39/0.57 (step @p130 :rule trans :premises (@p129 @p128)) % 0.39/0.57 (step @p131 :rule trans :premises (@p130 @p125)) % 0.39/0.57 (step @p132 :rule bool-and-de-morgan :args (@t22 @t2 true)) % 0.39/0.57 (step @p133 :rule nary_cong :premises (@p5 @p132) :args ((and @t9 (not @t23)))) % 0.39/0.57 (step @p134 :rule bool-implies-de-morgan :args (@t9 @t23)) % 0.39/0.57 (step @p135 :rule trans :premises (@p134 @p133)) % 0.39/0.57 (step @p136 :rule cong :premises (@p135) :args (@t71)) % 0.39/0.57 (step @p137 :rule trans :premises (@p136 @p131)) % 0.39/0.57 (step @p138 :rule cong :premises (@p137) :args (@t72)) % 0.39/0.57 (step @p139 :rule exists-elim :args ((= @t25 @t72))) % 0.39/0.57 (step @p140 :rule trans :premises (@p139 @p138)) % 0.39/0.57 (step @p141 :rule cong :premises (@p140) :args (@t26)) % 0.39/0.57 (step @p142 :rule trans :premises (@p141 @p87)) % 0.39/0.57 (step @p143 :rule nary_cong :premises (@p142 @p81) :args (@t27)) % 0.39/0.57 (step @p144 :rule cong :premises (@p143 @p38) :args (@t28)) % 0.39/0.57 (step @p145 :rule cong :premises (@p144) :args (@t29)) % 0.39/0.57 (step @p146 :rule eq_resolve :premises (@p1 @p145)) % 0.39/0.57 (step @p147 :rule not_implies_elim1 :premises (@p146)) % 0.39/0.57 (step @p148 :rule and_elim :premises (@p147) :args (1)) % 0.39/0.57 (step @p149 :rule instantiate :premises (@p148) :args ((@list @t76))) % 0.39/0.57 (step @p150 :rule instantiate :premises (@p148) :args ((@list @t75))) % 0.39/0.57 (step @p151 :rule and_elim :premises (@p147) :args (0)) % 0.39/0.57 (step @p152 :rule instantiate :premises (@p151) :args ((@list @t73))) % 0.39/0.57 (step @p153 :rule not_implies_elim2 :premises (@p146)) % 0.39/0.57 (step @p154 :rule skolemize :premises (@p153)) % 0.39/0.57 (step @p155 :rule bool-double-not-elim :args (@t77)) % 0.39/0.57 (step @p156 :rule refl :args (@t81)) % 0.39/0.57 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t81 (not @t80)))) % 0.39/0.57 (step @p158 :rule cnf_or_neg :args (@t81 0)) % 0.39/0.57 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.39/0.57 (step @p160 :rule reordering :premises (@p159) :args ((or @t77 @t81))) % 0.39/0.57 (step @p161 :rule chain_m_resolution :premises (@p160 @p154) :args (@t77 @t82 @t83)) % 0.39/0.58 (step @p162 :rule cnf_or_pos :args (@t85)) % 0.39/0.58 (step @p163 :rule reordering :premises (@p162) :args ((or @t80 @t84 (not @t85)))) % 0.39/0.58 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p152) :args (@t84 @t86 (@list @t77 @t85))) % 0.39/0.58 (step @p165 :rule skolemize :premises (@p164)) % 0.39/0.58 (step @p166 :rule bool-double-not-elim :args (@t87)) % 0.39/0.58 (step @p167 :rule refl :args (@t92)) % 0.39/0.58 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t92 (not @t88)))) % 0.39/0.58 (step @p169 :rule cnf_or_neg :args (@t92 1)) % 0.39/0.58 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.39/0.58 (step @p171 :rule reordering :premises (@p170) :args ((or @t87 @t92))) % 0.39/0.58 (step @p172 :rule chain_m_resolution :premises (@p171 @p165) :args (@t87 @t82 @t93)) % 0.39/0.58 (step @p173 :rule cnf_or_pos :args (@t96)) % 0.39/0.58 (step @p174 :rule reordering :premises (@p173) :args ((or @t88 @t95 (not @t96)))) % 0.39/0.58 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p150) :args (@t95 @t86 (@list @t87 @t96))) % 0.39/0.58 (step @p176 :rule cnf_and_pos :args (@t95 1)) % 0.39/0.58 (step @p177 :rule reordering :premises (@p176) :args ((or @t94 (not @t95)))) % 0.39/0.58 (step @p178 :rule chain_m_resolution :premises (@p177 @p175) :args (@t94 (@list false) (@list @t95))) % 0.39/0.58 (step @p179 :rule bool-double-not-elim :args (@t78)) % 0.39/0.58 (step @p180 :rule nary_cong :premises (@p156 @p179) :args ((or @t81 (not @t79)))) % 0.39/0.58 (step @p181 :rule cnf_or_neg :args (@t81 1)) % 0.39/0.58 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 0.39/0.58 (step @p183 :rule reordering :premises (@p182) :args ((or @t78 @t81))) % 0.39/0.58 (step @p184 :rule chain_m_resolution :premises (@p183 @p154) :args (@t78 @t82 @t83)) % 0.39/0.58 (step @p185 :rule instantiate :premises (@p184) :args ((@list @t89))) % 0.39/0.58 (step @p186 :rule bool-double-not-elim :args (@t90)) % 0.39/0.58 (step @p187 :rule nary_cong :premises (@p167 @p186) :args ((or @t92 (not @t91)))) % 0.39/0.58 (step @p188 :rule cnf_or_neg :args (@t92 0)) % 0.39/0.58 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 0.39/0.58 (step @p190 :rule reordering :premises (@p189) :args ((or @t90 @t92))) % 0.39/0.58 (step @p191 :rule chain_m_resolution :premises (@p190 @p165) :args (@t90 @t82 @t93)) % 0.39/0.58 (step @p192 :rule cnf_or_pos :args (@t99)) % 0.39/0.58 (step @p193 :rule reordering :premises (@p192) :args ((or @t91 @t98 (not @t99)))) % 0.39/0.58 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p185) :args (@t98 @t86 (@list @t90 @t99))) % 0.39/0.58 (step @p195 :rule cnf_and_pos :args (@t100 0)) % 0.39/0.58 (step @p196 :rule reordering :premises (@p195) :args ((or @t97 @t101))) % 0.39/0.58 (step @p197 :rule chain_m_resolution :premises (@p196 @p194) :args (@t101 @t82 (@list @t97))) % 0.39/0.58 (step @p198 :rule cnf_or_pos :args (@t103)) % 0.39/0.58 (step @p199 :rule reordering :premises (@p198) :args ((or @t102 @t100 (not @t103)))) % 0.39/0.58 (step @p200 false :rule chain_m_resolution :premises (@p199 @p197 @p178 @p149) :args (false (@list true false false) (@list @t100 @t94 @t103))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------