%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA140_1 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:06:44 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ANA140_1 : TPTP v9.2.1. Released v8.2.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:22:29 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_ARI % 0.38/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-const tptp.a Real) % 0.38/0.62 (define @t1 () (@var "Epsilon" Real)) % 0.38/0.62 (define @t2 () (@var "X" Real)) % 0.38/0.62 (define @t3 () (- @t2 tptp.a)) % 0.38/0.62 (define @t4 () (- @t3)) % 0.38/0.62 (define @t5 () (>= @t3 0/1)) % 0.38/0.62 (define @t6 () (not @t5)) % 0.38/0.62 (define @t7 () (=> @t6 (< @t4 @t1))) % 0.38/0.62 (define @t8 () (=> @t5 (< @t3 @t1))) % 0.38/0.62 (define @t9 () (and @t8 @t7)) % 0.38/0.62 (define @t10 () (@var "Delta" Real)) % 0.38/0.62 (define @t11 () (=> @t6 (< @t4 @t10))) % 0.38/0.62 (define @t12 () (=> @t5 (< @t3 @t10))) % 0.38/0.62 (define @t13 () (= @t2 tptp.a)) % 0.38/0.62 (define @t14 () (not @t13)) % 0.38/0.62 (define @t15 () (and @t14 @t12 @t11)) % 0.38/0.62 (define @t16 () (=> @t15 @t9)) % 0.38/0.62 (define @t17 () (@list @t2)) % 0.38/0.62 (define @t18 () (forall @t17 @t16)) % 0.38/0.62 (define @t19 () (and (< 0/1 @t10) @t18)) % 0.38/0.62 (define @t20 () (@list @t10)) % 0.38/0.62 (define @t21 () (exists @t20 @t19)) % 0.38/0.62 (define @t22 () (=> (< 0/1 @t1) @t21)) % 0.38/0.62 (define @t23 () (@list @t1)) % 0.38/0.62 (define @t24 () (forall @t23 @t22)) % 0.38/0.62 (define @t25 () (not @t24)) % 0.38/0.62 (define @t26 () (* -1/1 @t2)) % 0.38/0.62 (define @t27 () (* -1/1 @t1)) % 0.38/0.62 (define @t28 () (+ tptp.a @t27 @t26)) % 0.38/0.62 (define @t29 () (>= @t28 0/1)) % 0.38/0.62 (define @t30 () (not @t29)) % 0.38/0.62 (define @t31 () (* -1/1 tptp.a)) % 0.38/0.62 (define @t32 () (+ @t31 @t2)) % 0.38/0.62 (define @t33 () (>= @t32 0/1)) % 0.38/0.62 (define @t34 () (+ @t31 @t27 @t2)) % 0.38/0.62 (define @t35 () (>= @t34 0/1)) % 0.38/0.62 (define @t36 () (not @t35)) % 0.38/0.62 (define @t37 () (not @t33)) % 0.38/0.62 (define @t38 () (and (or @t37 @t36) (or @t33 @t30))) % 0.38/0.62 (define @t39 () (* -1/1 @t10)) % 0.38/0.62 (define @t40 () (+ tptp.a @t39 @t26)) % 0.38/0.62 (define @t41 () (>= @t40 0/1)) % 0.38/0.62 (define @t42 () (and @t37 @t41)) % 0.38/0.62 (define @t43 () (+ @t31 @t39 @t2)) % 0.38/0.62 (define @t44 () (>= @t43 0/1)) % 0.38/0.62 (define @t45 () (and @t33 @t44)) % 0.38/0.62 (define @t46 () (= tptp.a @t2)) % 0.38/0.62 (define @t47 () (or @t46 @t45 @t42 @t38)) % 0.38/0.62 (define @t48 () (forall @t17 @t47)) % 0.38/0.62 (define @t49 () (not @t48)) % 0.38/0.62 (define @t50 () (>= @t39 0/1)) % 0.38/0.62 (define @t51 () (not (forall @t20 (or @t50 @t49)))) % 0.38/0.62 (define @t52 () (>= @t27 0/1)) % 0.38/0.62 (define @t53 () (not @t52)) % 0.38/0.62 (define @t54 () (not @t50)) % 0.38/0.62 (define @t55 () (and @t54 @t48)) % 0.38/0.62 (define @t56 () (forall @t20 (not @t55))) % 0.38/0.62 (define @t57 () (not @t56)) % 0.38/0.62 (define @t58 () (and (=> @t33 @t36) (=> @t37 @t30))) % 0.38/0.62 (define @t59 () (not @t41)) % 0.38/0.62 (define @t60 () (not @t44)) % 0.38/0.62 (define @t61 () (=> @t37 @t59)) % 0.38/0.62 (define @t62 () (not @t61)) % 0.38/0.62 (define @t63 () (=> @t33 @t60)) % 0.38/0.62 (define @t64 () (not @t63)) % 0.38/0.62 (define @t65 () (not @t46)) % 0.38/0.62 (define @t66 () (not @t65)) % 0.38/0.62 (define @t67 () (or @t66 @t64 @t62)) % 0.38/0.62 (define @t68 () (and @t65 @t63 @t61)) % 0.38/0.62 (define @t69 () (+ tptp.a @t26)) % 0.38/0.62 (define @t70 () (+ @t2 @t31)) % 0.38/0.62 (define @t71 () (* -1/1 @t3)) % 0.38/0.62 (define @t72 () (>= @t4 @t1)) % 0.38/0.62 (define @t73 () (>= @t3 @t1)) % 0.38/0.62 (define @t74 () (>= @t4 @t10)) % 0.38/0.62 (define @t75 () (>= @t3 @t10)) % 0.38/0.62 (define @t76 () (>= 0/1 @t10)) % 0.38/0.62 (define @t77 () (>= 0/1 @t1)) % 0.38/0.62 (define @t78 () (forall @t23 (or @t52 @t51))) % 0.38/0.62 (define @t79 () (@quantifiers_skolemize @t78 0)) % 0.38/0.62 (define @t80 () (* -1/1 @t79)) % 0.38/0.62 (define @t81 () (+ tptp.a @t26 @t80)) % 0.38/0.62 (define @t82 () (>= @t81 0/1)) % 0.38/0.62 (define @t83 () (+ @t31 @t2 @t80)) % 0.38/0.62 (define @t84 () (>= @t83 0/1)) % 0.38/0.62 (define @t85 () (and (or @t37 (not @t84)) (or @t33 (not @t82)))) % 0.38/0.62 (define @t86 () (forall @t20 (or @t50 (not (forall @t17 (or @t46 @t45 @t42 @t85)))))) % 0.38/0.62 (define @t87 () (not @t86)) % 0.38/0.62 (define @t88 () (>= @t80 0/1)) % 0.38/0.62 (define @t89 () (or @t88 @t87)) % 0.38/0.62 (define @t90 () (not @t89)) % 0.38/0.62 (define @t91 () (not @t78)) % 0.38/0.62 (define @t92 () (+ tptp.a @t80 @t26)) % 0.38/0.62 (define @t93 () (>= @t92 0/1)) % 0.38/0.62 (define @t94 () (not @t93)) % 0.38/0.62 (define @t95 () (or @t33 @t94)) % 0.38/0.62 (define @t96 () (+ @t31 @t80 @t2)) % 0.38/0.62 (define @t97 () (>= @t96 0/1)) % 0.38/0.62 (define @t98 () (not @t97)) % 0.38/0.62 (define @t99 () (or @t37 @t98)) % 0.38/0.62 (define @t100 () (and @t99 @t95)) % 0.38/0.62 (define @t101 () (or @t46 @t45 @t42 @t100)) % 0.38/0.62 (define @t102 () (forall @t17 @t101)) % 0.38/0.62 (define @t103 () (not @t102)) % 0.38/0.62 (define @t104 () (or @t50 @t103)) % 0.38/0.62 (define @t105 () (forall @t20 @t104)) % 0.38/0.62 (define @t106 () (not @t105)) % 0.38/0.62 (define @t107 () (or @t88 @t106)) % 0.38/0.62 (define @t108 () (not @t107)) % 0.38/0.62 (define @t109 () (@list true)) % 0.38/0.62 (define @t110 () (@list @t89)) % 0.38/0.62 (define @t111 () (and @t37 @t93)) % 0.38/0.62 (define @t112 () (and @t33 @t97)) % 0.38/0.62 (define @t113 () (or @t46 @t112 @t111 @t85)) % 0.38/0.62 (define @t114 () (forall @t17 @t113)) % 0.38/0.62 (define @t115 () (not @t114)) % 0.38/0.62 (define @t116 () (or @t88 @t115)) % 0.38/0.62 (define @t117 () (forall @t17 (or @t46 (and @t33 @t84) (and @t37 @t82) @t85))) % 0.38/0.62 (define @t118 () (not @t117)) % 0.38/0.62 (define @t119 () (or @t88 @t118)) % 0.38/0.62 (define @t120 () (@list true false)) % 0.38/0.62 (define @t121 () (@quantifiers_skolemize @t117 0)) % 0.38/0.62 (define @t122 () (* -1/1 @t121)) % 0.38/0.62 (define @t123 () (+ tptp.a @t80 @t122)) % 0.38/0.62 (define @t124 () (>= @t123 0/1)) % 0.38/0.62 (define @t125 () (not @t124)) % 0.38/0.62 (define @t126 () (>= (+ @t31 @t121) 0/1)) % 0.38/0.62 (define @t127 () (or @t126 @t125)) % 0.38/0.62 (define @t128 () (+ @t31 @t80 @t121)) % 0.38/0.62 (define @t129 () (>= @t128 0/1)) % 0.38/0.62 (define @t130 () (not @t129)) % 0.38/0.62 (define @t131 () (not @t126)) % 0.38/0.62 (define @t132 () (or @t131 @t130)) % 0.38/0.62 (define @t133 () (and @t132 @t127)) % 0.38/0.62 (define @t134 () (and @t131 @t124)) % 0.38/0.62 (define @t135 () (and @t126 @t129)) % 0.38/0.62 (define @t136 () (= tptp.a @t121)) % 0.38/0.62 (define @t137 () (or @t136 @t135 @t134 @t133)) % 0.38/0.62 (define @t138 () (not @t137)) % 0.38/0.62 (define @t139 () (+ tptp.a @t122 @t80)) % 0.38/0.62 (define @t140 () (>= @t139 0/1)) % 0.38/0.62 (define @t141 () (not @t140)) % 0.38/0.62 (define @t142 () (or @t126 @t141)) % 0.38/0.62 (define @t143 () (+ @t31 @t121 @t80)) % 0.38/0.62 (define @t144 () (>= @t143 0/1)) % 0.38/0.62 (define @t145 () (not @t144)) % 0.38/0.62 (define @t146 () (or @t131 @t145)) % 0.38/0.62 (define @t147 () (and @t146 @t142)) % 0.38/0.62 (define @t148 () (and @t131 @t140)) % 0.38/0.62 (define @t149 () (and @t126 @t144)) % 0.38/0.62 (define @t150 () (or @t136 @t149 @t148 @t147)) % 0.38/0.62 (define @t151 () (not @t150)) % 0.38/0.62 (define @t152 () (@list @t137)) % 0.38/0.62 (define @t153 () (not @t131)) % 0.38/0.62 (define @t154 () (@list @t127)) % 0.38/0.62 (assume @p1 @t25) % 0.38/0.62 (assume @p2 true) % 0.38/0.62 (step @p3 :rule refl :args (@t51)) % 0.38/0.62 (step @p4 :rule bool-double-not-elim :args (@t52)) % 0.38/0.62 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or (not @t53) @t51))) % 0.38/0.62 (step @p6 :rule bool-impl-elim :args (@t53 @t51)) % 0.38/0.62 (step @p7 :rule trans :premises (@p6 @p5)) % 0.38/0.62 (step @p8 :rule cong :premises (@p7) :args ((forall @t23 (=> @t53 @t51)))) % 0.38/0.62 (step @p9 :rule refl :args (@t49)) % 0.38/0.62 (step @p10 :rule bool-double-not-elim :args (@t50)) % 0.38/0.62 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or (not @t54) @t49))) % 0.38/0.62 (step @p12 :rule bool-and-de-morgan :args (@t54 @t48 true)) % 0.38/0.62 (step @p13 :rule trans :premises (@p12 @p11)) % 0.38/0.62 (step @p14 :rule cong :premises (@p13) :args (@t56)) % 0.38/0.62 (step @p15 :rule cong :premises (@p14) :args (@t57)) % 0.38/0.62 (step @p16 :rule exists-elim :args ((= (exists @t20 @t55) @t57))) % 0.38/0.62 (step @p17 :rule trans :premises (@p16 @p15)) % 0.38/0.62 (step @p18 :rule aci_norm :args ((= (or (or @t46 @t45 @t42) @t38) @t47))) % 0.38/0.62 (step @p19 :rule refl :args (@t30)) % 0.38/0.62 (step @p20 :rule bool-double-not-elim :args (@t33)) % 0.38/0.62 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or (not @t37) @t30))) % 0.38/0.62 (step @p22 :rule bool-impl-elim :args (@t37 @t30)) % 0.38/0.62 (step @p23 :rule trans :premises (@p22 @p21)) % 0.38/0.62 (step @p24 :rule bool-impl-elim :args (@t33 @t36)) % 0.38/0.62 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t58)) % 0.38/0.62 (step @p26 :rule bool-double-not-elim :args (@t41)) % 0.38/0.62 (step @p27 :rule refl :args (@t37)) % 0.38/0.62 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((and @t37 (not @t59)))) % 0.38/0.62 (step @p29 :rule bool-implies-de-morgan :args (@t37 @t59)) % 0.38/0.62 (step @p30 :rule trans :premises (@p29 @p28)) % 0.38/0.62 (step @p31 :rule bool-double-not-elim :args (@t44)) % 0.38/0.62 (step @p32 :rule refl :args (@t33)) % 0.38/0.62 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((and @t33 (not @t60)))) % 0.38/0.62 (step @p34 :rule bool-implies-de-morgan :args (@t33 @t60)) % 0.38/0.62 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.62 (step @p36 :rule refl :args (@t46)) % 0.38/0.62 (step @p37 :rule nary_cong :premises (@p36 @p35 @p30) :args ((or @t46 @t64 @t62))) % 0.38/0.62 (step @p38 :rule refl :args (@t62)) % 0.38/0.62 (step @p39 :rule refl :args (@t64)) % 0.38/0.62 (step @p40 :rule bool-double-not-elim :args (@t46)) % 0.38/0.62 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args (@t67)) % 0.38/0.62 (step @p42 :rule aci_norm :args ((= (or @t66 (or @t64 @t62)) @t67))) % 0.38/0.62 (step @p43 :rule trans :premises (@p42 @p41)) % 0.38/0.62 (step @p44 :rule bool-and-de-morgan :args (@t63 @t61 true)) % 0.38/0.62 (step @p45 :rule refl :args (@t66)) % 0.38/0.62 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t66 (not (and @t63 @t61))))) % 0.38/0.62 (step @p47 :rule bool-and-de-morgan :args (@t65 @t63 (and @t61))) % 0.38/0.62 (step @p48 :rule trans :premises (@p47 @p46)) % 0.38/0.62 (step @p49 :rule trans :premises (@p48 @p43)) % 0.38/0.62 (step @p50 :rule trans :premises (@p49 @p37)) % 0.38/0.62 (step @p51 :rule nary_cong :premises (@p50 @p25) :args ((or (not @t68) @t58))) % 0.38/0.62 (step @p52 :rule trans :premises (@p51 @p18)) % 0.38/0.62 (step @p53 :rule bool-impl-elim :args (@t68 @t58)) % 0.38/0.62 (step @p54 :rule trans :premises (@p53 @p52)) % 0.38/0.62 (step @p55 :rule cong :premises (@p54) :args ((forall @t17 (=> @t68 @t58)))) % 0.38/0.62 (step @p56 :rule arith_poly_norm :args ((= (* 1/1 (- @t69 @t1)) (* 1/1 (- @t28 0/1))))) % 0.38/0.62 (step @p57 :rule arith_poly_norm_rel :premises (@p56) :args ((= (>= @t69 @t1) @t29))) % 0.38/0.62 (step @p58 :rule refl :args (@t1)) % 0.38/0.62 (step @p59 :rule arith_poly_norm :args ((= (* -1/1 @t32) @t69))) % 0.38/0.62 (step @p60 :rule arith_poly_norm :args ((= @t70 @t32))) % 0.38/0.62 (step @p61 :rule arith_poly_norm :args ((= @t3 @t70))) % 0.38/0.62 (step @p62 :rule trans :premises (@p61 @p60)) % 0.38/0.62 (step @p63 :rule refl :args (-1/1)) % 0.38/0.62 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t71)) % 0.38/0.62 (step @p65 :rule trans :premises (@p64 @p59)) % 0.38/0.62 (step @p66 :rule arith_poly_norm :args ((= @t4 @t71))) % 0.38/0.62 (step @p67 :rule trans :premises (@p66 @p65)) % 0.38/0.62 (step @p68 :rule cong :premises (@p67 @p58) :args (@t72)) % 0.38/0.62 (step @p69 :rule trans :premises (@p68 @p57)) % 0.38/0.62 (step @p70 :rule cong :premises (@p69) :args ((not @t72))) % 0.38/0.62 (step @p71 :rule arith-elim-lt :args (@t4 @t1)) % 0.38/0.62 (step @p72 :rule trans :premises (@p71 @p70)) % 0.38/0.62 (step @p73 :rule refl :args (0/1)) % 0.38/0.62 (step @p74 :rule cong :premises (@p62 @p73) :args (@t5)) % 0.38/0.62 (step @p75 :rule cong :premises (@p74) :args (@t6)) % 0.38/0.62 (step @p76 :rule cong :premises (@p75 @p72) :args (@t7)) % 0.38/0.62 (step @p77 :rule arith_poly_norm :args ((= (* -1/1 (- @t32 @t1)) (* -1/1 (- @t34 0/1))))) % 0.38/0.62 (step @p78 :rule arith_poly_norm_rel :premises (@p77) :args ((= (>= @t32 @t1) @t35))) % 0.38/0.62 (step @p79 :rule cong :premises (@p62 @p58) :args (@t73)) % 0.38/0.62 (step @p80 :rule trans :premises (@p79 @p78)) % 0.38/0.62 (step @p81 :rule cong :premises (@p80) :args ((not @t73))) % 0.38/0.62 (step @p82 :rule arith-elim-lt :args (@t3 @t1)) % 0.38/0.62 (step @p83 :rule trans :premises (@p82 @p81)) % 0.38/0.62 (step @p84 :rule cong :premises (@p74 @p83) :args (@t8)) % 0.38/0.62 (step @p85 :rule nary_cong :premises (@p84 @p76) :args (@t9)) % 0.38/0.62 (step @p86 :rule arith_poly_norm :args ((= (* 1/1 (- @t69 @t10)) (* 1/1 (- @t40 0/1))))) % 0.38/0.62 (step @p87 :rule arith_poly_norm_rel :premises (@p86) :args ((= (>= @t69 @t10) @t41))) % 0.38/0.62 (step @p88 :rule refl :args (@t10)) % 0.38/0.62 (step @p89 :rule cong :premises (@p67 @p88) :args (@t74)) % 0.38/0.62 (step @p90 :rule trans :premises (@p89 @p87)) % 0.38/0.62 (step @p91 :rule cong :premises (@p90) :args ((not @t74))) % 0.38/0.62 (step @p92 :rule arith-elim-lt :args (@t4 @t10)) % 0.38/0.62 (step @p93 :rule trans :premises (@p92 @p91)) % 0.38/0.62 (step @p94 :rule cong :premises (@p75 @p93) :args (@t11)) % 0.38/0.62 (step @p95 :rule arith_poly_norm :args ((= (* -1/1 (- @t32 @t10)) (* -1/1 (- @t43 0/1))))) % 0.38/0.62 (step @p96 :rule arith_poly_norm_rel :premises (@p95) :args ((= (>= @t32 @t10) @t44))) % 0.38/0.62 (step @p97 :rule cong :premises (@p62 @p88) :args (@t75)) % 0.38/0.62 (step @p98 :rule trans :premises (@p97 @p96)) % 0.38/0.62 (step @p99 :rule cong :premises (@p98) :args ((not @t75))) % 0.38/0.62 (step @p100 :rule arith-elim-lt :args (@t3 @t10)) % 0.38/0.62 (step @p101 :rule trans :premises (@p100 @p99)) % 0.38/0.62 (step @p102 :rule cong :premises (@p74 @p101) :args (@t12)) % 0.38/0.62 (step @p103 :rule arith_poly_norm :args ((= (* 1/1 @t3) (* -1/1 (- tptp.a @t2))))) % 0.38/0.62 (step @p104 :rule arith_poly_norm_rel :premises (@p103) :args ((= @t13 @t46))) % 0.38/0.62 (step @p105 :rule cong :premises (@p104) :args (@t14)) % 0.38/0.62 (step @p106 :rule nary_cong :premises (@p105 @p102 @p94) :args (@t15)) % 0.38/0.62 (step @p107 :rule cong :premises (@p106 @p85) :args (@t16)) % 0.38/0.62 (step @p108 :rule cong :premises (@p107) :args (@t18)) % 0.38/0.62 (step @p109 :rule trans :premises (@p108 @p55)) % 0.38/0.62 (step @p110 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t10)) (* -1/1 (- @t39 0/1))))) % 0.38/0.62 (step @p111 :rule arith_poly_norm_rel :premises (@p110) :args ((= @t76 @t50))) % 0.38/0.62 (step @p112 :rule cong :premises (@p111) :args ((not @t76))) % 0.38/0.62 (step @p113 :rule arith-elim-lt :args (0/1 @t10)) % 0.38/0.62 (step @p114 :rule trans :premises (@p113 @p112)) % 0.38/0.62 (step @p115 :rule nary_cong :premises (@p114 @p109) :args (@t19)) % 0.38/0.62 (step @p116 :rule cong :premises (@p115) :args (@t21)) % 0.38/0.62 (step @p117 :rule trans :premises (@p116 @p17)) % 0.38/0.62 (step @p118 :rule 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@t92 @t81))) % 0.38/0.62 (step @p133 :rule cong :premises (@p132 @p131) :args (@t93)) % 0.38/0.62 (step @p134 :rule cong :premises (@p133) :args (@t94)) % 0.38/0.62 (step @p135 :rule refl :args (@t33)) % 0.38/0.62 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t95)) % 0.38/0.62 (step @p137 :rule refl :args (0/1)) % 0.38/0.62 (step @p138 :rule arith_poly_norm :args ((= @t96 @t83))) % 0.38/0.62 (step @p139 :rule cong :premises (@p138 @p137) :args (@t97)) % 0.38/0.62 (step @p140 :rule cong :premises (@p139) :args (@t98)) % 0.38/0.62 (step @p141 :rule refl :args (@t37)) % 0.38/0.62 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t99)) % 0.38/0.62 (step @p143 :rule nary_cong :premises (@p142 @p136) :args (@t100)) % 0.38/0.62 (step @p144 :rule refl :args (@t42)) % 0.38/0.62 (step @p145 :rule refl :args (@t45)) % 0.38/0.62 (step @p146 :rule refl :args (@t46)) % 0.38/0.62 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144 @p143) :args (@t101)) % 0.38/0.62 (step @p148 :rule cong :premises (@p147) :args (@t102)) % 0.38/0.62 (step @p149 :rule cong :premises (@p148) :args (@t103)) % 0.38/0.62 (step @p150 :rule refl :args (@t50)) % 0.38/0.62 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t104)) % 0.38/0.62 (step @p152 :rule cong :premises (@p151) :args (@t105)) % 0.38/0.62 (step @p153 :rule cong :premises (@p152) :args (@t106)) % 0.38/0.62 (step @p154 :rule refl :args (@t88)) % 0.38/0.62 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t107)) % 0.38/0.62 (step @p156 :rule cong :premises (@p155) :args (@t108)) % 0.38/0.62 (step @p157 :rule refl :args (@t91)) % 0.38/0.62 (step @p158 :rule cong :premises (@p157 @p156) :args ((=> @t91 @t108))) % 0.38/0.62 (assume-push @p265 @t91) % 0.38/0.62 (step @p160 :rule skolemize :premises (@p127)) % 0.38/0.62 (step-pop @p266 :rule scope :premises (@p160)) % 0.38/0.62 (step @p161 :rule process_scope :premises (@p266) :args (@t108)) % 0.38/0.62 (step @p163 :rule eq_resolve :premises (@p161 @p158)) % 0.38/0.62 (step @p164 :rule implies_elim :premises (@p163)) % 0.38/0.62 (step @p165 :rule eq_resolve :premises (@p164 @p130)) % 0.38/0.62 (step @p166 :rule chain_m_resolution :premises (@p165 @p127) :args (@t90 @t109 (@list @t78))) % 0.38/0.62 (step @p167 :rule bool-double-not-elim :args (@t86)) % 0.38/0.62 (step @p168 :rule refl :args (@t89)) % 0.38/0.62 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or @t89 (not @t87)))) % 0.38/0.62 (step @p170 :rule cnf_or_neg :args (@t89 1)) % 0.38/0.62 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 0.38/0.62 (step @p172 :rule reordering :premises (@p171) :args ((or @t86 @t89))) % 0.38/0.62 (step @p173 :rule chain_m_resolution :premises (@p172 @p166) :args (@t86 @t109 @t110)) % 0.38/0.62 (step @p174 :rule refl :args (@t85)) % 0.38/0.62 (step @p175 :rule nary_cong :premises (@p141 @p133) :args (@t111)) % 0.38/0.62 (step @p176 :rule nary_cong :premises (@p135 @p139) :args (@t112)) % 0.38/0.62 (step @p177 :rule nary_cong :premises (@p146 @p176 @p175 @p174) :args (@t113)) % 0.38/0.62 (step @p178 :rule cong :premises (@p177) :args (@t114)) % 0.38/0.62 (step @p179 :rule cong :premises (@p178) :args (@t115)) % 0.38/0.62 (step @p180 :rule nary_cong :premises (@p154 @p179) :args (@t116)) % 0.38/0.62 (step @p181 :rule refl :args (@t86)) % 0.38/0.62 (step @p182 :rule cong :premises (@p181 @p180) :args ((=> @t86 @t116))) % 0.38/0.62 (assume-push @p267 @t86) % 0.38/0.62 (step @p184 :rule instantiate :premises (@p173) :args ((@list @t79))) % 0.38/0.62 (step-pop @p268 :rule scope :premises (@p184)) % 0.38/0.62 (step @p185 :rule process_scope :premises (@p268) :args (@t116)) % 0.38/0.62 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 0.38/0.62 (step @p188 :rule implies_elim :premises (@p187)) % 0.38/0.62 (step @p189 :rule chain_m_resolution :premises (@p188 @p173) :args (@t119 (@list false) (@list @t86))) % 0.38/0.62 (step @p190 :rule cnf_or_neg :args (@t89 0)) % 0.38/0.62 (step @p191 :rule chain_m_resolution :premises (@p190 @p166) :args ((not @t88) @t109 @t110)) % 0.38/0.62 (step @p192 :rule cnf_or_pos :args (@t119)) % 0.38/0.62 (step @p193 :rule reordering :premises (@p192) :args ((or @t88 @t118 (not @t119)))) % 0.38/0.62 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p189) :args (@t118 @t120 (@list @t88 @t119))) % 0.38/0.62 (step @p195 :rule refl :args (@t138)) % 0.38/0.62 (step @p196 :rule bool-double-not-elim :args (@t117)) % 0.38/0.62 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or (not @t118) @t138))) % 0.38/0.62 (step @p198 :rule refl :args (0/1)) % 0.38/0.62 (step @p199 :rule arith_poly_norm :args ((= @t139 @t123))) % 0.38/0.62 (step @p200 :rule cong :premises (@p199 @p198) :args (@t140)) % 0.38/0.62 (step @p201 :rule cong :premises (@p200) :args (@t141)) % 0.38/0.62 (step @p202 :rule refl :args (@t126)) % 0.38/0.62 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t142)) % 0.38/0.62 (step @p204 :rule refl :args (0/1)) % 0.38/0.62 (step @p205 :rule arith_poly_norm :args ((= @t143 @t128))) % 0.38/0.62 (step @p206 :rule cong :premises (@p205 @p204) :args (@t144)) % 0.38/0.62 (step @p207 :rule cong :premises (@p206) :args (@t145)) % 0.38/0.62 (step @p208 :rule refl :args (@t131)) % 0.38/0.62 (step @p209 :rule nary_cong :premises (@p208 @p207) :args (@t146)) % 0.38/0.62 (step @p210 :rule nary_cong :premises (@p209 @p203) :args (@t147)) % 0.38/0.62 (step @p211 :rule nary_cong :premises (@p208 @p200) :args (@t148)) % 0.38/0.62 (step @p212 :rule nary_cong :premises (@p202 @p206) :args (@t149)) % 0.38/0.62 (step @p213 :rule refl :args (@t136)) % 0.38/0.62 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211 @p210) :args (@t150)) % 0.38/0.62 (step @p215 :rule cong :premises (@p214) :args (@t151)) % 0.38/0.62 (step @p216 :rule refl :args (@t118)) % 0.38/0.62 (step @p217 :rule cong :premises (@p216 @p215) :args ((=> @t118 @t151))) % 0.38/0.62 (assume-push @p269 @t118) % 0.38/0.62 (step @p219 :rule skolemize :premises (@p194)) % 0.38/0.62 (step-pop @p270 :rule scope :premises (@p219)) % 0.38/0.62 (step @p220 :rule process_scope :premises (@p270) :args (@t151)) % 0.38/0.62 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 0.38/0.62 (step @p223 :rule implies_elim :premises (@p222)) % 0.38/0.62 (step @p224 :rule eq_resolve :premises (@p223 @p197)) % 0.38/0.62 (step @p225 :rule chain_m_resolution :premises (@p224 @p194) :args (@t138 @t109 (@list @t117))) % 0.38/0.62 (step @p226 :rule cnf_or_neg :args (@t137 2)) % 0.38/0.62 (step @p227 :rule chain_m_resolution :premises (@p226 @p225) :args ((not @t134) @t109 @t152)) % 0.38/0.62 (step @p228 :rule bool-double-not-elim :args (@t126)) % 0.38/0.62 (step @p229 :rule refl :args (@t132)) % 0.38/0.62 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t132 @t153))) % 0.38/0.62 (step @p231 :rule cnf_or_neg :args (@t132 0)) % 0.38/0.62 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.38/0.62 (step @p233 :rule reordering :premises (@p232) :args ((or @t126 @t132))) % 0.38/0.62 (step @p234 :rule bool-double-not-elim :args (@t129)) % 0.38/0.62 (step @p235 :rule nary_cong :premises (@p229 @p234) :args ((or @t132 (not @t130)))) % 0.38/0.62 (step @p236 :rule cnf_or_neg :args (@t132 1)) % 0.38/0.62 (step @p237 :rule eq_resolve :premises (@p236 @p235)) % 0.38/0.62 (step @p238 :rule reordering :premises (@p237) :args ((or @t129 @t132))) % 0.38/0.62 (step @p239 :rule cnf_or_neg :args (@t137 1)) % 0.38/0.62 (step @p240 :rule chain_m_resolution :premises (@p239 @p225) :args ((not @t135) @t109 @t152)) % 0.38/0.62 (step @p241 :rule cnf_and_neg :args (@t135)) % 0.38/0.62 (step @p242 :rule reordering :premises (@p241) :args ((or @t131 @t135 @t130))) % 0.38/0.62 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p238 @p233) :args (@t132 (@list true false false) (@list @t135 @t129 @t126))) % 0.38/0.62 (step @p244 :rule cnf_or_neg :args (@t137 3)) % 0.38/0.62 (step @p245 :rule chain_m_resolution :premises (@p244 @p225) :args ((not @t133) @t109 @t152)) % 0.38/0.62 (step @p246 :rule cnf_and_neg :args (@t133)) % 0.38/0.62 (step @p247 :rule chain_m_resolution :premises (@p246 @p245 @p243) :args ((not @t127) @t120 (@list @t133 @t132))) % 0.38/0.62 (step @p248 :rule cnf_or_neg :args (@t127 0)) % 0.38/0.62 (step @p249 :rule reordering :premises (@p248) :args ((or @t131 @t127))) % 0.38/0.62 (step @p250 :rule chain_m_resolution :premises (@p249 @p247) :args (@t131 @t109 @t154)) % 0.38/0.62 (step @p251 :rule bool-double-not-elim :args (@t124)) % 0.38/0.62 (step @p252 :rule refl :args (@t127)) % 0.38/0.62 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((or @t127 (not @t125)))) % 0.38/0.62 (step @p254 :rule cnf_or_neg :args (@t127 1)) % 0.38/0.62 (step @p255 :rule eq_resolve :premises (@p254 @p253)) % 0.38/0.62 (step @p256 :rule reordering :premises (@p255) :args ((or @t124 @t127))) % 0.38/0.62 (step @p257 :rule chain_m_resolution :premises (@p256 @p247) :args (@t124 @t109 @t154)) % 0.38/0.62 (step @p258 :rule refl :args (@t125)) % 0.38/0.62 (step @p259 :rule refl :args (@t134)) % 0.38/0.62 (step @p260 :rule nary_cong :premises (@p259 @p228 @p258) :args ((or @t134 @t153 @t125))) % 0.38/0.62 (step @p261 :rule cnf_and_neg :args (@t134)) % 0.38/0.62 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 0.38/0.62 (step @p263 :rule reordering :premises (@p262) :args ((or @t126 @t134 @t125))) % 0.38/0.62 (step @p264 false :rule chain_m_resolution :premises (@p263 @p257 @p250 @p227) :args (false (@list false true true) (@list @t124 @t126 @t134))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------