%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM766^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:40:37 AM UTC 2026 % Result : Theorem 2.32s 2.53s % Output : Proof 2.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM766^1 : TPTP v9.2.1. Released v3.7.0. % 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 : n028.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 12:16:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 2.32/2.53 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.32/2.53 % SZS status Theorem % 2.32/2.53 % SZS output start Proof % 2.32/2.53 ( % 2.32/2.53 (declare-sort tptp.nat 0) % 2.32/2.53 (declare-sort tptp.frac 0) % 2.32/2.53 (declare-const tptp.ind (-> (-> tptp.nat Bool) tptp.nat)) % 2.32/2.53 (declare-const tptp.fr (-> tptp.nat tptp.nat tptp.frac)) % 2.32/2.53 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 2.32/2.53 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 2.32/2.53 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 2.32/2.53 (declare-const tptp.amone (-> (-> tptp.nat Bool) Bool)) % 2.32/2.53 (declare-const tptp.ts (-> tptp.nat tptp.nat tptp.nat)) % 2.32/2.53 (declare-const tptp.num (-> tptp.frac tptp.nat)) % 2.32/2.53 (declare-const tptp.y tptp.frac) % 2.32/2.53 (declare-const tptp.den (-> tptp.frac tptp.nat)) % 2.32/2.53 (declare-const tptp.x tptp.frac) % 2.32/2.53 (define @t1 () (@var "Xx_0" tptp.nat)) % 2.32/2.53 (define @t2 () (_ tptp.den tptp.x)) % 2.32/2.53 (define @t3 () (_ tptp.num tptp.y)) % 2.32/2.53 (define @t4 () (_ (_ tptp.ts @t3) @t2)) % 2.32/2.53 (define @t5 () (_ (_ tptp.pl @t4) @t1)) % 2.32/2.53 (define @t6 () (_ tptp.den tptp.y)) % 2.32/2.53 (define @t7 () (_ tptp.num tptp.x)) % 2.32/2.53 (define @t8 () (_ (_ tptp.ts @t7) @t6)) % 2.32/2.53 (define @t9 () (= @t8 @t5)) % 2.32/2.53 (define @t10 () (not @t9)) % 2.32/2.53 (define @t11 () (@list @t1)) % 2.32/2.53 (define @t12 () (forall @t11 @t10)) % 2.32/2.53 (define @t13 () (not @t12)) % 2.32/2.53 (define @t14 () (@var "Xz" tptp.nat)) % 2.32/2.53 (define @t15 () (@var "Xy" tptp.nat)) % 2.32/2.53 (define @t16 () (@var "Xx" tptp.nat)) % 2.32/2.53 (define @t17 () (@list @t16 @t15)) % 2.32/2.53 (define @t18 () (@var "Xz" tptp.frac)) % 2.32/2.53 (define @t19 () (@var "Xx" tptp.frac)) % 2.32/2.53 (define @t20 () (_ tptp.eq @t19)) % 2.32/2.53 (define @t21 () (_ @t20 @t18)) % 2.32/2.53 (define @t22 () (@var "Xy" tptp.frac)) % 2.32/2.53 (define @t23 () (_ (_ tptp.eq @t22) @t18)) % 2.32/2.53 (define @t24 () (=> @t23 @t21)) % 2.32/2.53 (define @t25 () (_ @t20 @t22)) % 2.32/2.53 (define @t26 () (@list @t19 @t22 @t18)) % 2.32/2.53 (define @t27 () (forall @t26 (=> @t25 @t24))) % 2.32/2.53 (define @t28 () (@var "Xu" tptp.frac)) % 2.32/2.53 (define @t29 () (_ (_ tptp.pf @t22) @t28)) % 2.32/2.53 (define @t30 () (_ (_ tptp.pf @t19) @t18)) % 2.32/2.53 (define @t31 () (_ (_ tptp.eq @t30) @t29)) % 2.32/2.53 (define @t32 () (_ (_ tptp.eq @t18) @t28)) % 2.32/2.53 (define @t33 () (=> @t32 @t31)) % 2.32/2.53 (define @t34 () (@list @t19 @t22 @t18 @t28)) % 2.32/2.53 (define @t35 () (forall @t34 (=> @t25 @t33))) % 2.32/2.53 (define @t36 () (@var "Xn" tptp.nat)) % 2.32/2.53 (define @t37 () (_ tptp.den @t19)) % 2.32/2.53 (define @t38 () (_ (_ tptp.ts @t37) @t36)) % 2.32/2.53 (define @t39 () (_ tptp.num @t19)) % 2.32/2.53 (define @t40 () (_ (_ tptp.ts @t39) @t36)) % 2.32/2.53 (define @t41 () (_ (_ tptp.fr @t40) @t38)) % 2.32/2.53 (define @t42 () (_ @t20 @t41)) % 2.32/2.53 (define @t43 () (@list @t19 @t36)) % 2.32/2.53 (define @t44 () (forall @t43 @t42)) % 2.32/2.53 (define @t45 () (_ @t20 @t19)) % 2.32/2.53 (define @t46 () (forall (@list @t19) @t45)) % 2.32/2.53 (define @t47 () (_ (_ tptp.ts @t15) @t16)) % 2.32/2.53 (define @t48 () (_ (_ tptp.ts @t16) @t15)) % 2.32/2.53 (define @t49 () (= @t48 @t47)) % 2.32/2.53 (define @t50 () (forall @t17 @t49)) % 2.32/2.53 (define @t51 () (@var "Xx2" tptp.nat)) % 2.32/2.53 (define @t52 () (@var "Xx1" tptp.nat)) % 2.32/2.53 (define @t53 () (_ (_ tptp.pl @t52) @t51)) % 2.32/2.53 (define @t54 () (_ (_ tptp.fr @t53) @t36)) % 2.32/2.53 (define @t55 () (_ (_ tptp.fr @t51) @t36)) % 2.32/2.53 (define @t56 () (_ (_ tptp.fr @t52) @t36)) % 2.32/2.53 (define @t57 () (_ (_ tptp.pf @t56) @t55)) % 2.32/2.53 (define @t58 () (_ (_ tptp.eq @t57) @t54)) % 2.32/2.53 (define @t59 () (forall (@list @t52 @t51 @t36) @t58)) % 2.32/2.53 (define @t60 () (@var "Xp" (-> tptp.nat Bool))) % 2.32/2.53 (define @t61 () (_ (_ tptp.eq @t41) @t19)) % 2.32/2.53 (define @t62 () (forall @t43 @t61)) % 2.32/2.53 (define @t63 () (@var "Xx_0" tptp.frac)) % 2.32/2.53 (define @t64 () (_ (_ tptp.pf tptp.y) @t63)) % 2.32/2.53 (define @t65 () (_ (_ tptp.eq @t64) tptp.x)) % 2.32/2.53 (define @t66 () (not @t65)) % 2.32/2.53 (define @t67 () (forall (@list @t63) @t66)) % 2.32/2.53 (define @t68 () (tptp.eq @t19 @t18)) % 2.32/2.53 (define @t69 () (tptp.eq @t22 @t18)) % 2.32/2.53 (define @t70 () (not @t23)) % 2.32/2.53 (define @t71 () (tptp.eq @t19 @t22)) % 2.32/2.53 (define @t72 () (not @t25)) % 2.32/2.53 (define @t73 () (or @t72 @t70 @t21)) % 2.32/2.53 (define @t74 () (tptp.pf @t22 @t28)) % 2.32/2.53 (define @t75 () (tptp.pf @t19 @t18)) % 2.32/2.53 (define @t76 () (tptp.eq @t75 @t74)) % 2.32/2.53 (define @t77 () (tptp.eq @t18 @t28)) % 2.32/2.53 (define @t78 () (not @t32)) % 2.32/2.53 (define @t79 () (or @t72 @t78 @t31)) % 2.32/2.53 (define @t80 () (tptp.den tptp.y)) % 2.32/2.53 (define @t81 () (tptp.den tptp.x)) % 2.32/2.53 (define @t82 () (tptp.ts @t81 @t80)) % 2.32/2.53 (define @t83 () (tptp.num tptp.y)) % 2.32/2.53 (define @t84 () (tptp.ts @t83 @t81)) % 2.32/2.53 (define @t85 () (tptp.pl @t84 @t1)) % 2.32/2.53 (define @t86 () (tptp.num tptp.x)) % 2.32/2.53 (define @t87 () (tptp.ts @t86 @t80)) % 2.32/2.53 (define @t88 () (forall @t11 (not (= @t87 @t85)))) % 2.32/2.53 (define @t89 () (@quantifiers_skolemize @t88 0)) % 2.32/2.53 (define @t90 () (tptp.fr @t89 @t82)) % 2.32/2.53 (define @t91 () (tptp.fr @t84 @t82)) % 2.32/2.53 (define @t92 () (tptp.den @t19)) % 2.32/2.53 (define @t93 () (tptp.ts @t92 @t36)) % 2.32/2.53 (define @t94 () (tptp.num @t19)) % 2.32/2.53 (define @t95 () (tptp.ts @t94 @t36)) % 2.32/2.53 (define @t96 () (tptp.fr @t95 @t93)) % 2.32/2.53 (define @t97 () (tptp.eq @t19 @t96)) % 2.32/2.53 (define @t98 () (tptp.ts @t15 @t16)) % 2.32/2.53 (define @t99 () (tptp.ts @t16 @t15)) % 2.32/2.53 (define @t100 () (tptp.eq tptp.y @t91)) % 2.32/2.53 (define @t101 () (tptp.eq @t19 @t19)) % 2.32/2.53 (define @t102 () (@list @t90)) % 2.32/2.53 (define @t103 () (tptp.pf @t91 @t90)) % 2.32/2.53 (define @t104 () (tptp.pf tptp.y @t90)) % 2.32/2.53 (define @t105 () (tptp.eq @t104 @t103)) % 2.32/2.53 (define @t106 () (tptp.eq @t90 @t90)) % 2.32/2.53 (define @t107 () (not @t106)) % 2.32/2.53 (define @t108 () (not @t100)) % 2.32/2.53 (define @t109 () (or @t108 @t107 @t105)) % 2.32/2.53 (define @t110 () (@list false false false)) % 2.32/2.53 (define @t111 () (tptp.pf tptp.y @t63)) % 2.32/2.53 (define @t112 () (tptp.eq @t111 tptp.x)) % 2.32/2.53 (define @t113 () (tptp.pl @t84 @t89)) % 2.32/2.53 (define @t114 () (tptp.fr @t113 @t82)) % 2.32/2.53 (define @t115 () (tptp.eq @t96 @t19)) % 2.32/2.53 (define @t116 () (= @t87 @t113)) % 2.32/2.53 (define @t117 () (not @t88)) % 2.32/2.53 (define @t118 () (not (not @t116))) % 2.32/2.53 (define @t119 () (tptp.eq @t114 tptp.x)) % 2.32/2.53 (define @t120 () (tptp.pl @t52 @t51)) % 2.32/2.53 (define @t121 () (tptp.fr @t120 @t36)) % 2.32/2.53 (define @t122 () (tptp.fr @t51 @t36)) % 2.32/2.53 (define @t123 () (tptp.fr @t52 @t36)) % 2.32/2.53 (define @t124 () (tptp.pf @t123 @t122)) % 2.32/2.53 (define @t125 () (tptp.eq @t124 @t121)) % 2.32/2.53 (define @t126 () (tptp.eq @t103 tptp.x)) % 2.32/2.53 (define @t127 () (not @t119)) % 2.32/2.53 (define @t128 () (tptp.eq @t103 @t114)) % 2.32/2.53 (define @t129 () (not @t128)) % 2.32/2.53 (define @t130 () (or @t129 @t127 @t126)) % 2.32/2.53 (define @t131 () (tptp.eq @t104 tptp.x)) % 2.32/2.53 (define @t132 () (not @t126)) % 2.32/2.53 (define @t133 () (not @t105)) % 2.32/2.53 (define @t134 () (or @t133 @t132 @t131)) % 2.32/2.53 (define @t135 () (not @t134)) % 2.32/2.53 (define @t136 () (forall @t26 (or (not @t71) (not @t69) @t68))) % 2.32/2.53 (assume @p1 @t13) % 2.32/2.53 (assume @p2 (forall @t17 (_ tptp.amone (lambda (@list @t14) (= @t16 (_ (_ tptp.pl @t15) @t14)))))) % 2.32/2.53 (assume @p3 @t27) % 2.32/2.53 (assume @p4 @t35) % 2.32/2.53 (assume @p5 @t44) % 2.32/2.53 (assume @p6 @t46) % 2.32/2.53 (assume @p7 @t50) % 2.32/2.53 (assume @p8 @t59) % 2.32/2.53 (assume @p9 (forall (@list @t60) (=> (not (=> (_ tptp.amone @t60) (not (not (forall (@list @t16) (not (_ @t60 @t16))))))) (_ @t60 (_ tptp.ind @t60))))) % 2.32/2.53 (assume @p10 @t62) % 2.32/2.53 (assume @p11 (not (not @t67))) % 2.32/2.53 (assume @p12 true) % 2.32/2.53 (step @p13 :rule refl :args (@t68)) % 2.32/2.53 (step @p14 :rule refl :args (@t21)) % 2.32/2.53 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t21 @t68))) % 2.32/2.53 (step @p16 :rule symm :premises (@p15)) % 2.32/2.53 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 2.32/2.53 (step @p18 :rule refl :args (@t69)) % 2.32/2.53 (step @p19 :rule refl :args (@t23)) % 2.32/2.53 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t23 @t69))) % 2.32/2.53 (step @p21 :rule symm :premises (@p20)) % 2.32/2.53 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 2.32/2.53 (step @p23 :rule cong :premises (@p22) :args (@t70)) % 2.32/2.53 (step @p24 :rule refl :args (@t71)) % 2.32/2.53 (step @p25 :rule refl :args (@t25)) % 2.32/2.53 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t25 @t71))) % 2.32/2.53 (step @p27 :rule symm :premises (@p26)) % 2.32/2.53 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 2.32/2.53 (step @p29 :rule cong :premises (@p28) :args (@t72)) % 2.32/2.53 (step @p30 :rule nary_cong :premises (@p29 @p23 @p17) :args (@t73)) % 2.32/2.53 (step @p31 :rule cong :premises (@p30) :args ((forall @t26 @t73))) % 2.32/2.53 (step @p32 :rule aci_norm :args ((= (or @t72 (or @t70 @t21)) @t73))) % 2.32/2.53 (step @p33 :rule bool-impl-elim :args (@t23 @t21)) % 2.32/2.53 (step @p34 :rule refl :args (@t72)) % 2.32/2.53 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t72 @t24))) % 2.32/2.53 (step @p36 :rule trans :premises (@p35 @p32)) % 2.32/2.53 (step @p37 :rule bool-impl-elim :args (@t25 @t24)) % 2.32/2.53 (step @p38 :rule trans :premises (@p37 @p36)) % 2.32/2.53 (step @p39 :rule cong :premises (@p38) :args (@t27)) % 2.32/2.53 (step @p40 :rule trans :premises (@p39 @p31)) % 2.32/2.53 (step @p41 :rule eq_resolve :premises (@p3 @p40)) % 2.32/2.53 (step @p42 :rule refl :args ((tptp.eq @t30 @t29))) % 2.32/2.53 (step @p43 :rule refl :args (@t74)) % 2.32/2.53 (step @p44 :rule refl :args (@t75)) % 2.32/2.53 (step @p45 :rule cong :premises (@p44 @p43) :args (@t76)) % 2.32/2.53 (step @p46 :rule trans :premises (@p45 @p42)) % 2.32/2.53 (step @p47 :rule refl :args (tptp.eq)) % 2.32/2.53 (step @p48 :rule ho_cong :premises (@p47 @p44)) % 2.32/2.53 (step @p49 :rule ho_cong :premises (@p48 @p43)) % 2.32/2.53 (step @p50 :rule cong :premises (@p49 @p46) :args ((= (_ (_ tptp.eq @t75) @t74) @t76))) % 2.32/2.53 (step @p51 :rule symm :premises (@p50)) % 2.32/2.53 (step @p52 :rule refl :args (@t31)) % 2.32/2.53 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 2.32/2.53 (step @p54 :rule refl :args (@t29)) % 2.32/2.53 (step @p55 :rule cong :premises (@p54 @p43) :args ((= @t29 @t74))) % 2.32/2.53 (step @p56 :rule symm :premises (@p55)) % 2.32/2.53 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 2.32/2.53 (step @p58 :rule refl :args (@t30)) % 2.32/2.53 (step @p59 :rule cong :premises (@p58 @p44) :args ((= @t30 @t75))) % 2.32/2.53 (step @p60 :rule symm :premises (@p59)) % 2.32/2.53 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 2.32/2.53 (step @p62 :rule ho_cong :premises (@p47 @p61)) % 2.32/2.53 (step @p63 :rule ho_cong :premises (@p62 @p57)) % 2.32/2.53 (step @p64 :rule trans :premises (@p63 @p53)) % 2.32/2.53 (step @p65 :rule refl :args (@t77)) % 2.32/2.53 (step @p66 :rule refl :args (@t32)) % 2.32/2.53 (step @p67 :rule cong :premises (@p66 @p65) :args ((= @t32 @t77))) % 2.32/2.53 (step @p68 :rule symm :premises (@p67)) % 2.32/2.53 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 2.32/2.53 (step @p70 :rule cong :premises (@p69) :args (@t78)) % 2.32/2.53 (step @p71 :rule nary_cong :premises (@p29 @p70 @p64) :args (@t79)) % 2.32/2.53 (step @p72 :rule cong :premises (@p71) :args ((forall @t34 @t79))) % 2.32/2.53 (step @p73 :rule aci_norm :args ((= (or @t72 (or @t78 @t31)) @t79))) % 2.32/2.53 (step @p74 :rule bool-impl-elim :args (@t32 @t31)) % 2.32/2.53 (step @p75 :rule nary_cong :premises (@p34 @p74) :args ((or @t72 @t33))) % 2.32/2.53 (step @p76 :rule trans :premises (@p75 @p73)) % 2.32/2.53 (step @p77 :rule bool-impl-elim :args (@t25 @t33)) % 2.32/2.53 (step @p78 :rule trans :premises (@p77 @p76)) % 2.32/2.53 (step @p79 :rule cong :premises (@p78) :args (@t35)) % 2.32/2.53 (step @p80 :rule trans :premises (@p79 @p72)) % 2.32/2.53 (step @p81 :rule eq_resolve :premises (@p4 @p80)) % 2.32/2.53 (step @p82 :rule instantiate :premises (@p81) :args ((@list tptp.y @t91 @t90 @t90))) % 2.32/2.53 (step @p83 :rule refl :args ((tptp.eq @t19 @t41))) % 2.32/2.53 (step @p84 :rule refl :args ((tptp.fr @t40 @t38))) % 2.32/2.53 (step @p85 :rule refl :args ((tptp.ts @t37 @t36))) % 2.32/2.53 (step @p86 :rule refl :args (@t36)) % 2.32/2.53 (step @p87 :rule refl :args (@t92)) % 2.32/2.53 (step @p88 :rule cong :premises (@p87 @p86) :args (@t93)) % 2.32/2.53 (step @p89 :rule trans :premises (@p88 @p85)) % 2.32/2.53 (step @p90 :rule refl :args ((tptp.ts @t39 @t36))) % 2.32/2.53 (step @p91 :rule refl :args (@t94)) % 2.32/2.53 (step @p92 :rule cong :premises (@p91 @p86) :args (@t95)) % 2.32/2.53 (step @p93 :rule trans :premises (@p92 @p90)) % 2.32/2.53 (step @p94 :rule cong :premises (@p93 @p89) :args (@t96)) % 2.32/2.53 (step @p95 :rule trans :premises (@p94 @p84)) % 2.32/2.53 (step @p96 :rule refl :args (@t19)) % 2.32/2.53 (step @p97 :rule cong :premises (@p96 @p95) :args (@t97)) % 2.32/2.53 (step @p98 :rule trans :premises (@p97 @p83)) % 2.32/2.53 (step @p99 :rule refl :args (@t20)) % 2.32/2.53 (step @p100 :rule ho_cong :premises (@p99 @p95)) % 2.32/2.53 (step @p101 :rule cong :premises (@p100 @p98) :args ((= (_ @t20 @t96) @t97))) % 2.32/2.53 (step @p102 :rule symm :premises (@p101)) % 2.32/2.53 (step @p103 :rule refl :args (@t42)) % 2.32/2.53 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 2.32/2.53 (step @p105 :rule refl :args (tptp.fr)) % 2.32/2.53 (step @p106 :rule ho_cong :premises (@p105 @p93)) % 2.32/2.53 (step @p107 :rule ho_cong :premises (@p106 @p89)) % 2.32/2.53 (step @p108 :rule cong :premises (@p107 @p95) :args ((= (_ (_ tptp.fr @t95) @t93) @t96))) % 2.32/2.53 (step @p109 :rule symm :premises (@p108)) % 2.32/2.53 (step @p110 :rule refl :args (@t41)) % 2.32/2.53 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 2.32/2.53 (step @p112 :rule refl :args (tptp.ts)) % 2.32/2.53 (step @p113 :rule ho_cong :premises (@p112 @p87)) % 2.32/2.53 (step @p114 :rule ho_cong :premises (@p113 @p86)) % 2.32/2.53 (step @p115 :rule cong :premises (@p114 @p89) :args ((= (_ (_ tptp.ts @t92) @t36) @t93))) % 2.32/2.53 (step @p116 :rule symm :premises (@p115)) % 2.32/2.53 (step @p117 :rule refl :args (@t38)) % 2.32/2.53 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 2.32/2.53 (step @p119 :rule refl :args (@t37)) % 2.32/2.53 (step @p120 :rule cong :premises (@p119 @p87) :args ((= @t37 @t92))) % 2.32/2.53 (step @p121 :rule symm :premises (@p120)) % 2.32/2.53 (step @p122 :rule eq_resolve :premises (@p119 @p121)) % 2.32/2.53 (step @p123 :rule ho_cong :premises (@p112 @p122)) % 2.32/2.53 (step @p124 :rule ho_cong :premises (@p123 @p86)) % 2.32/2.53 (step @p125 :rule trans :premises (@p124 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(@t134)) % 2.32/2.54 (step @p370 :rule implies_elim :premises (@p368)) % 2.32/2.54 (step @p371 false :rule chain_m_resolution :premises (@p370 @p365 @p41) :args (false (@list true false) (@list @t134 @t136))) % 2.32/2.54 ) % 2.32/2.54 % SZS output end Proof % 2.32/2.54 % cvc5 exiting %------------------------------------------------------------------------------