%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO377^5 : 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 : 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 09:12:32 AM UTC 2026 % Result : Theorem 0.36s 0.55s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO377^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : Wed Jun 3 00:04:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.36/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.55 % SZS status Theorem % 0.36/0.55 % SZS output start Proof % 0.36/0.55 ( % 0.36/0.55 (declare-const tptp.a Bool) % 0.36/0.55 (declare-const tptp.b Bool) % 0.36/0.55 (define @t1 () (and tptp.a tptp.b)) % 0.36/0.55 (define @t2 () (@var "Xp" (-> Bool Bool))) % 0.36/0.55 (define @t3 () (_ @t2 @t1)) % 0.36/0.55 (define @t4 () (_ @t2 tptp.b)) % 0.36/0.55 (define @t5 () (_ @t2 tptp.a)) % 0.36/0.55 (define @t6 () (and @t5 @t4)) % 0.36/0.55 (define @t7 () (@list @t2)) % 0.36/0.55 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.36/0.55 (define @t9 () (@var "Xy" Bool)) % 0.36/0.55 (define @t10 () (@var "Xq" (-> Bool Bool))) % 0.36/0.55 (define @t11 () (_ @t10 @t9)) % 0.36/0.55 (define @t12 () (@var "Xx" Bool)) % 0.36/0.55 (define @t13 () (_ @t10 @t12)) % 0.36/0.55 (define @t14 () (@list @t10)) % 0.36/0.55 (define @t15 () (forall @t14 (=> @t13 @t11))) % 0.36/0.55 (define @t16 () (= @t12 @t9)) % 0.36/0.55 (define @t17 () (=> @t16 @t15)) % 0.36/0.55 (define @t18 () (@list @t12 @t9)) % 0.36/0.55 (define @t19 () (forall @t18 @t17)) % 0.36/0.55 (define @t20 () (=> @t19 @t8)) % 0.36/0.55 (define @t21 () (not @t20)) % 0.36/0.55 (define @t22 () (_ @t2 @t1)) % 0.36/0.55 (define @t23 () (_ @t2 tptp.b)) % 0.36/0.55 (define @t24 () (_ @t2 tptp.a)) % 0.36/0.55 (define @t25 () (forall @t7 (or (not @t24) (not @t23) @t22))) % 0.36/0.55 (define @t26 () (not @t4)) % 0.36/0.55 (define @t27 () (not @t5)) % 0.36/0.55 (define @t28 () (or @t27 @t26 @t3)) % 0.36/0.55 (define @t29 () (@var "BOUND_VARIABLE_7450" (-> Bool Bool))) % 0.36/0.55 (define @t30 () (@list @t9 @t29)) % 0.36/0.55 (define @t31 () (_ @t29 @t9)) % 0.36/0.55 (define @t32 () (not @t31)) % 0.36/0.55 (define @t33 () (or @t32 @t31)) % 0.36/0.55 (define @t34 () (or (= @t9 (not @t9)) @t32 @t31)) % 0.36/0.55 (define @t35 () (not (_ @t29 @t12))) % 0.36/0.55 (define @t36 () (not @t12)) % 0.36/0.55 (define @t37 () (= @t9 @t36)) % 0.36/0.55 (define @t38 () (not @t16)) % 0.36/0.55 (define @t39 () (@list @t12)) % 0.36/0.55 (define @t40 () (not @t36)) % 0.36/0.55 (define @t41 () (or @t37 @t37 @t35 @t31)) % 0.36/0.55 (define @t42 () (or @t37 @t35 @t31)) % 0.36/0.55 (define @t43 () (forall @t39 @t42)) % 0.36/0.55 (define @t44 () (forall @t30 @t43)) % 0.36/0.55 (define @t45 () (forall (@list @t9 @t29 @t12) @t42)) % 0.36/0.55 (define @t46 () (@list @t12 @t9 @t29)) % 0.36/0.55 (define @t47 () (or @t35 @t31)) % 0.36/0.55 (define @t48 () (or @t37 @t47)) % 0.36/0.55 (define @t49 () (forall @t46 @t48)) % 0.36/0.55 (define @t50 () (@list @t29)) % 0.36/0.55 (define @t51 () (forall @t50 @t48)) % 0.36/0.55 (define @t52 () (forall @t50 @t47)) % 0.36/0.55 (define @t53 () (or @t37 @t52)) % 0.36/0.55 (define @t54 () (_ @t10 @t9)) % 0.36/0.55 (define @t55 () (_ @t10 @t12)) % 0.36/0.55 (define @t56 () (forall @t14 (or (not @t55) @t54))) % 0.36/0.55 (define @t57 () (or (= @t36 @t9) @t56)) % 0.36/0.55 (define @t58 () (not @t13)) % 0.36/0.55 (define @t59 () (or @t58 @t11)) % 0.36/0.55 (define @t60 () (@purify @t1)) % 0.36/0.55 (define @t61 () (@quantifiers_skolemize @t25 0)) % 0.36/0.55 (define @t62 () (_ @t61 @t60)) % 0.36/0.55 (define @t63 () (@purify tptp.b)) % 0.36/0.55 (define @t64 () (_ @t61 @t63)) % 0.36/0.55 (define @t65 () (not @t64)) % 0.36/0.55 (define @t66 () (@purify tptp.a)) % 0.36/0.55 (define @t67 () (_ @t61 @t66)) % 0.36/0.55 (define @t68 () (not @t67)) % 0.36/0.55 (define @t69 () (or @t68 @t65 @t62)) % 0.36/0.55 (define @t70 () (not @t69)) % 0.36/0.55 (define @t71 () (not @t25)) % 0.36/0.55 (define @t72 () (_ @t61 @t1)) % 0.36/0.55 (define @t73 () (_ @t61 tptp.b)) % 0.36/0.55 (define @t74 () (not @t73)) % 0.36/0.55 (define @t75 () (_ @t61 tptp.a)) % 0.36/0.55 (define @t76 () (not @t75)) % 0.36/0.55 (define @t77 () (or @t76 @t74 @t72)) % 0.36/0.55 (define @t78 () (not @t77)) % 0.36/0.55 (define @t79 () (@list true)) % 0.36/0.55 (define @t80 () (@list @t69)) % 0.36/0.55 (define @t81 () (not @t62)) % 0.36/0.55 (define @t82 () (not tptp.a)) % 0.36/0.55 (define @t83 () (not @t66)) % 0.36/0.55 (define @t84 () (not @t60)) % 0.36/0.55 (define @t85 () (not @t81)) % 0.36/0.55 (define @t86 () (= false true)) % 0.36/0.55 (define @t87 () (and @t67 @t66 @t60 @t81)) % 0.36/0.55 (define @t88 () (not @t1)) % 0.36/0.55 (define @t89 () (not @t63)) % 0.36/0.55 (define @t90 () (not @t84)) % 0.36/0.55 (define @t91 () (and @t81 @t84 @t89 @t64)) % 0.36/0.55 (define @t92 () (@list tptp.a)) % 0.36/0.55 (define @t93 () (and @t67 @t83 @t84 @t81)) % 0.36/0.55 (assume @p1 @t21) % 0.36/0.55 (assume @p2 true) % 0.36/0.55 (step @p3 :rule bool-impl-true2 :args (@t25)) % 0.36/0.55 (step @p4 :rule refl :args (@t22)) % 0.36/0.55 (step @p5 :rule refl :args (@t3)) % 0.36/0.55 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t22))) % 0.36/0.55 (step @p7 :rule symm :premises (@p6)) % 0.36/0.55 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.36/0.55 (step @p9 :rule refl :args (@t23)) % 0.36/0.55 (step @p10 :rule refl :args (@t4)) % 0.36/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t4 @t23))) % 0.36/0.55 (step @p12 :rule symm :premises (@p11)) % 0.36/0.55 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.36/0.55 (step @p14 :rule cong :premises (@p13) :args (@t26)) % 0.36/0.55 (step @p15 :rule refl :args (@t24)) % 0.36/0.55 (step @p16 :rule refl :args (@t5)) % 0.36/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t5 @t24))) % 0.36/0.56 (step @p18 :rule symm :premises (@p17)) % 0.36/0.56 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.36/0.56 (step @p20 :rule cong :premises (@p19) :args (@t27)) % 0.36/0.56 (step @p21 :rule nary_cong :premises (@p20 @p14 @p8) :args (@t28)) % 0.36/0.56 (step @p22 :rule cong :premises (@p21) :args ((forall @t7 @t28))) % 0.36/0.56 (step @p23 :rule aci_norm :args ((= (or (or @t27 @t26) @t3) @t28))) % 0.36/0.56 (step @p24 :rule bool-and-de-morgan :args (@t5 @t4 true)) % 0.36/0.56 (step @p25 :rule nary_cong :premises (@p24 @p5) :args ((or (not @t6) @t3))) % 0.36/0.56 (step @p26 :rule trans :premises (@p25 @p23)) % 0.36/0.56 (step @p27 :rule bool-impl-elim :args (@t6 @t3)) % 0.36/0.56 (step @p28 :rule trans :premises (@p27 @p26)) % 0.36/0.56 (step @p29 :rule cong :premises (@p28) :args (@t8)) % 0.36/0.56 (step @p30 :rule trans :premises (@p29 @p22)) % 0.36/0.56 (step @p31 :rule quant-unused-vars :args ((= (forall @t30 true) true))) % 0.36/0.56 (step @p32 :rule bool-or-taut2 :args (false @t31 false false)) % 0.36/0.56 (step @p33 :rule cong :premises (@p32) :args ((forall @t30 @t33))) % 0.36/0.56 (step @p34 :rule trans :premises (@p33 @p31)) % 0.36/0.56 (step @p35 :rule aci_norm :args ((= (or false @t32 @t31) @t33))) % 0.36/0.56 (step @p36 :rule refl :args (@t31)) % 0.36/0.56 (step @p37 :rule refl :args (@t32)) % 0.36/0.56 (step @p38 :rule bool-eq-nrefl :args (@t9)) % 0.36/0.56 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args (@t34)) % 0.36/0.56 (step @p40 :rule trans :premises (@p39 @p35)) % 0.36/0.56 (step @p41 :rule cong :premises (@p40) :args ((forall @t30 @t34))) % 0.36/0.56 (step @p42 :rule trans :premises (@p41 @p34)) % 0.36/0.56 (step @p43 :rule quant-var-elim-eq :args ((= (forall @t39 (or @t38 @t37 @t35 @t31)) @t34))) % 0.36/0.56 (step @p44 :rule refl :args (@t31)) % 0.36/0.56 (step @p45 :rule refl :args (@t35)) % 0.36/0.56 (step @p46 :rule refl :args (@t37)) % 0.36/0.56 (step @p47 :rule refl :args (@t9)) % 0.36/0.56 (step @p48 :rule bool-double-not-elim :args (@t12)) % 0.36/0.56 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t40 @t9))) % 0.36/0.56 (step @p50 :rule eq-symm :args (@t9 @t40)) % 0.36/0.56 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.56 (step @p52 :rule bool-not-eq-elim2 :args (@t9 @t36)) % 0.36/0.56 (step @p53 :rule trans :premises (@p52 @p51)) % 0.36/0.56 (step @p54 :rule cong :premises (@p53) :args ((not (not @t37)))) % 0.36/0.56 (step @p55 :rule bool-double-not-elim :args (@t37)) % 0.36/0.56 (step @p56 :rule symm :premises (@p55)) % 0.36/0.56 (step @p57 :rule trans :premises (@p56 @p54)) % 0.36/0.56 (step @p58 :rule nary_cong :premises (@p57 @p46 @p45 @p44) :args (@t41)) % 0.36/0.56 (step @p59 :rule aci_norm :args ((= @t42 @t41))) % 0.36/0.56 (step @p60 :rule trans :premises (@p59 @p58)) % 0.36/0.56 (step @p61 :rule cong :premises (@p60) :args (@t43)) % 0.36/0.56 (step @p62 :rule trans :premises (@p61 @p43)) % 0.36/0.56 (step @p63 :rule cong :premises (@p62) :args (@t44)) % 0.36/0.56 (step @p64 :rule quant-merge-prenex :args ((= @t44 @t45))) % 0.36/0.56 (step @p65 :rule symm :premises (@p64)) % 0.36/0.56 (step @p66 :rule quant_var_reordering :args ((= (forall @t46 @t42) @t45))) % 0.36/0.56 (step @p67 :rule trans :premises (@p66 @p65 @p63)) % 0.36/0.56 (step @p68 :rule trans :premises (@p67 @p42)) % 0.36/0.56 (step @p69 :rule aci_norm :args ((= @t48 @t42))) % 0.36/0.56 (step @p70 :rule cong :premises (@p69) :args (@t49)) % 0.36/0.56 (step @p71 :rule trans :premises (@p70 @p68)) % 0.36/0.56 (step @p72 :rule quant-merge-prenex :args ((= (forall @t18 @t51) @t49))) % 0.36/0.56 (step @p73 :rule alpha_equiv :args (@t52 (@list @t29) (@list @t10))) % 0.36/0.56 (step @p74 :rule nary_cong :premises (@p46 @p73) :args (@t53)) % 0.36/0.56 (step @p75 :rule quant-miniscope-or :args ((= @t51 @t53))) % 0.36/0.56 (step @p76 :rule trans :premises (@p75 @p74)) % 0.36/0.56 (step @p77 :rule symm :premises (@p76)) % 0.36/0.56 (step @p78 :rule cong :premises (@p77) :args ((forall @t18 (or @t37 @t56)))) % 0.36/0.56 (step @p79 :rule trans :premises (@p78 @p72)) % 0.36/0.56 (step @p80 :rule trans :premises (@p79 @p71)) % 0.36/0.56 (step @p81 :rule refl :args (@t56)) % 0.36/0.56 (step @p82 :rule eq-symm :args (@t36 @t9)) % 0.36/0.56 (step @p83 :rule nary_cong :premises (@p82 @p81) :args (@t57)) % 0.36/0.56 (step @p84 :rule cong :premises (@p83) :args ((forall @t18 @t57))) % 0.36/0.56 (step @p85 :rule trans :premises (@p84 @p80)) % 0.36/0.56 (step @p86 :rule refl :args (@t56)) % 0.36/0.56 (step @p87 :rule bool-not-eq-elim1 :args (@t12 @t9)) % 0.36/0.56 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t38 @t56))) % 0.36/0.56 (step @p89 :rule bool-impl-elim :args (@t16 @t56)) % 0.36/0.56 (step @p90 :rule trans :premises (@p89 @p88)) % 0.36/0.56 (step @p91 :rule cong :premises (@p90) :args ((forall @t18 (=> @t16 @t56)))) % 0.36/0.56 (step @p92 :rule trans :premises (@p91 @p85)) % 0.36/0.56 (step @p93 :rule refl :args (@t54)) % 0.36/0.56 (step @p94 :rule refl :args (@t11)) % 0.36/0.56 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t11 @t54))) % 0.36/0.56 (step @p96 :rule symm :premises (@p95)) % 0.36/0.56 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.36/0.56 (step @p98 :rule refl :args (@t55)) % 0.36/0.56 (step @p99 :rule refl :args (@t13)) % 0.36/0.56 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t13 @t55))) % 0.36/0.56 (step @p101 :rule symm :premises (@p100)) % 0.36/0.56 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.36/0.56 (step @p103 :rule cong :premises (@p102) :args (@t58)) % 0.36/0.56 (step @p104 :rule nary_cong :premises (@p103 @p97) :args (@t59)) % 0.36/0.56 (step @p105 :rule cong :premises (@p104) :args ((forall @t14 @t59))) % 0.36/0.56 (step @p106 :rule bool-impl-elim :args (@t13 @t11)) % 0.36/0.56 (step @p107 :rule cong :premises (@p106) :args (@t15)) % 0.36/0.56 (step @p108 :rule trans :premises (@p107 @p105)) % 0.36/0.56 (step @p109 :rule refl :args (@t16)) % 0.36/0.56 (step @p110 :rule cong :premises (@p109 @p108) :args (@t17)) % 0.36/0.56 (step @p111 :rule cong :premises (@p110) :args (@t19)) % 0.36/0.56 (step @p112 :rule trans :premises (@p111 @p92)) % 0.36/0.56 (step @p113 :rule cong :premises (@p112 @p30) :args (@t20)) % 0.36/0.56 (step @p114 :rule trans :premises (@p113 @p3)) % 0.36/0.56 (step @p115 :rule cong :premises (@p114) :args (@t21)) % 0.36/0.56 (step @p116 :rule eq_resolve :premises (@p1 @p115)) % 0.36/0.56 (step @p117 :rule refl :args (@t70)) % 0.36/0.56 (step @p118 :rule bool-double-not-elim :args (@t25)) % 0.36/0.56 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or (not @t71) @t70))) % 0.36/0.56 (step @p120 :rule eq-refl :args (@t1)) % 0.36/0.56 (step @p121 :rule skolem_intro :args (@t60)) % 0.36/0.56 (step @p122 :rule refl :args (@t1)) % 0.36/0.56 (step @p123 :rule cong :premises (@p122 @p121) :args ((= @t1 @t60))) % 0.36/0.56 (step @p124 :rule trans :premises (@p123 @p120)) % 0.36/0.56 (step @p125 :rule true_elim :premises (@p124)) % 0.36/0.56 (step @p126 :rule cong :premises (@p125) :args (@t72)) % 0.36/0.56 (step @p127 :rule eq-refl :args (tptp.b)) % 0.36/0.56 (step @p128 :rule skolem_intro :args (@t63)) % 0.36/0.56 (step @p129 :rule refl :args (tptp.b)) % 0.36/0.56 (step @p130 :rule cong :premises (@p129 @p128) :args ((= tptp.b @t63))) % 0.36/0.56 (step @p131 :rule trans :premises (@p130 @p127)) % 0.36/0.56 (step @p132 :rule true_elim :premises (@p131)) % 0.36/0.56 (step @p133 :rule cong :premises (@p132) :args (@t73)) % 0.36/0.56 (step @p134 :rule cong :premises (@p133) :args (@t74)) % 0.36/0.56 (step @p135 :rule eq-refl :args (tptp.a)) % 0.36/0.56 (step @p136 :rule skolem_intro :args (@t66)) % 0.36/0.56 (step @p137 :rule refl :args (tptp.a)) % 0.36/0.56 (step @p138 :rule cong :premises (@p137 @p136) :args ((= tptp.a @t66))) % 0.36/0.56 (step @p139 :rule trans :premises (@p138 @p135)) % 0.36/0.56 (step @p140 :rule true_elim :premises (@p139)) % 0.36/0.56 (step @p141 :rule cong :premises (@p140) :args (@t75)) % 0.36/0.56 (step @p142 :rule cong :premises (@p141) :args (@t76)) % 0.36/0.56 (step @p143 :rule nary_cong :premises (@p142 @p134 @p126) :args (@t77)) % 0.36/0.56 (step @p144 :rule cong :premises (@p143) :args (@t78)) % 0.36/0.56 (step @p145 :rule refl :args (@t71)) % 0.36/0.56 (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t71 @t78))) % 0.36/0.56 (assume-push @p296 @t71) % 0.36/0.56 (step @p148 :rule skolemize :premises (@p116)) % 0.36/0.56 (step-pop @p297 :rule scope :premises (@p148)) % 0.36/0.56 (step @p149 :rule process_scope :premises (@p297) :args (@t78)) % 0.36/0.56 (step @p151 :rule eq_resolve :premises (@p149 @p146)) % 0.36/0.56 (step @p152 :rule implies_elim :premises (@p151)) % 0.36/0.56 (step @p153 :rule eq_resolve :premises (@p152 @p119)) % 0.36/0.56 (step @p154 :rule chain_m_resolution :premises (@p153 @p116) :args (@t70 @t79 (@list @t25))) % 0.36/0.56 (step @p155 :rule bool-double-not-elim :args (@t67)) % 0.36/0.56 (step @p156 :rule refl :args (@t69)) % 0.36/0.56 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t69 (not @t68)))) % 0.36/0.56 (step @p158 :rule cnf_or_neg :args (@t69 0)) % 0.36/0.56 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.36/0.56 (step @p160 :rule reordering :premises (@p159) :args ((or @t67 @t69))) % 0.36/0.56 (step @p161 :rule chain_m_resolution :premises (@p160 @p154) :args (@t67 @t79 @t80)) % 0.36/0.56 (step @p162 :rule cnf_or_neg :args (@t69 2)) % 0.36/0.56 (step @p163 :rule chain_m_resolution :premises (@p162 @p154) :args (@t81 @t79 @t80)) % 0.36/0.56 (step @p164 :rule equiv_elim1 :premises (@p140)) % 0.36/0.56 (step @p165 :rule reordering :premises (@p164) :args ((or @t66 @t82))) % 0.36/0.56 (step @p166 :rule bool-double-not-elim :args (@t62)) % 0.36/0.56 (step @p167 :rule refl :args (@t68)) % 0.36/0.56 (step @p168 :rule refl :args (@t83)) % 0.36/0.56 (step @p169 :rule refl :args (@t84)) % 0.36/0.56 (step @p170 :rule 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scope :premises (@p233)) % 0.36/0.56 (step-pop @p319 :rule scope :premises (@p318)) % 0.36/0.56 (step-pop @p320 :rule scope :premises (@p319)) % 0.36/0.56 (step-pop @p321 :rule scope :premises (@p320)) % 0.36/0.56 (step @p234 :rule process_scope :premises (@p321) :args (false)) % 0.36/0.56 (assume-push @p322 @t64) % 0.36/0.56 (assume-push @p323 @t81) % 0.36/0.56 (assume-push @p324 @t84) % 0.36/0.56 (assume-push @p325 @t89) % 0.36/0.56 (step @p243 :rule and_intro :premises (@p163 @p324 @p325 @p215)) % 0.36/0.56 (step-pop @p326 :rule scope :premises (@p243)) % 0.36/0.56 (step-pop @p327 :rule scope :premises (@p326)) % 0.36/0.56 (step-pop @p328 :rule scope :premises (@p327)) % 0.36/0.56 (step-pop @p329 :rule scope :premises (@p328)) % 0.36/0.56 (step @p244 :rule process_scope :premises (@p329) :args (@t91)) % 0.36/0.56 (step @p249 :rule implies_elim :premises (@p244)) % 0.36/0.56 (step @p250 :rule resolution :premises (@p249 @p234) :args (true @t91)) % 0.36/0.56 (step @p251 :rule not_and 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(step @p262 :rule bool-double-not-elim :args (@t66)) % 0.36/0.56 (step @p263 :rule nary_cong :premises (@p167 @p166 @p217 @p262) :args ((or @t68 @t85 @t90 (not @t83)))) % 0.36/0.56 (assume-push @p330 @t67) % 0.36/0.56 (assume-push @p331 @t83) % 0.36/0.56 (assume-push @p332 @t84) % 0.36/0.56 (assume-push @p333 @t81) % 0.36/0.56 (step @p175 :rule evaluate :args (@t86)) % 0.36/0.56 (step @p176 :rule true_intro :premises (@p161)) % 0.36/0.56 (step @p268 :rule false_intro :premises (@p331)) % 0.36/0.56 (step @p269 :rule symm :premises (@p268)) % 0.36/0.56 (step @p270 :rule false_intro :premises (@p332)) % 0.36/0.56 (step @p271 :rule trans :premises (@p270 @p269)) % 0.36/0.56 (step @p272 :rule cong :premises (@p271) :args (@t62)) % 0.36/0.56 (step @p182 :rule false_intro :premises (@p163)) % 0.36/0.56 (step @p183 :rule symm :premises (@p182)) % 0.36/0.56 (step @p273 :rule trans :premises (@p183 @p272 @p176)) % 0.36/0.56 (step @p274 false :rule eq_resolve :premises (@p273 @p175)) % 0.36/0.56 (step-pop @p334 :rule scope :premises (@p274)) % 0.36/0.56 (step-pop @p335 :rule scope :premises (@p334)) % 0.36/0.56 (step-pop @p336 :rule scope :premises (@p335)) % 0.36/0.56 (step-pop @p337 :rule scope :premises (@p336)) % 0.36/0.56 (step @p275 :rule process_scope :premises (@p337) :args (false)) % 0.36/0.56 (assume-push @p338 @t67) % 0.36/0.56 (assume-push @p339 @t81) % 0.36/0.56 (assume-push @p340 @t84) % 0.36/0.56 (assume-push @p341 @t83) % 0.36/0.56 (step @p284 :rule and_intro :premises (@p161 @p341 @p340 @p163)) % 0.36/0.56 (step-pop @p342 :rule scope :premises (@p284)) % 0.36/0.56 (step-pop @p343 :rule scope :premises (@p342)) % 0.36/0.56 (step-pop @p344 :rule scope :premises (@p343)) % 0.36/0.56 (step-pop @p345 :rule scope :premises (@p344)) % 0.36/0.56 (step @p285 :rule process_scope :premises (@p345) :args (@t93)) % 0.36/0.56 (step @p290 :rule implies_elim :premises (@p285)) % 0.36/0.56 (step @p291 :rule resolution :premises (@p290 @p275) :args (true @t93)) % 0.36/0.56 (step @p292 :rule not_and :premises (@p291)) % 0.36/0.56 (step @p293 :rule eq_resolve :premises (@p292 @p263)) % 0.36/0.56 (step @p294 :rule reordering :premises (@p293) :args ((or @t60 @t62 @t66 @t68))) % 0.36/0.56 (step @p295 false :rule chain_m_resolution :premises (@p294 @p261 @p256 @p163 @p161) :args (false (@list true true true false) (@list @t60 @t66 @t62 @t67))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------