%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW679_1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 09:05:28 AM UTC 2026 % Result : Theorem 0.35s 0.59s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWW679_1 : TPTP v9.2.1. Released v6.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:23:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_ARI % 0.35/0.59 --- Run --finite-model-find --decision=internal at 45... % 0.35/0.59 % SZS status Theorem % 0.35/0.59 % SZS output start Proof % 0.35/0.59 ( % 0.35/0.59 (declare-sort |tptp.'Tree'| 0) % 0.35/0.59 (declare-const tptp.searchtree (-> |tptp.'Tree'| Bool)) % 0.35/0.59 (declare-const |tptp.'empty:Tree'| |tptp.'Tree'|) % 0.35/0.59 (declare-const |tptp.'node:(Int*Tree*Tree)>Tree'| (-> Int |tptp.'Tree'| |tptp.'Tree'| |tptp.'Tree'|)) % 0.35/0.59 (declare-const |tptp.'val:(Tree)>Int'| (-> |tptp.'Tree'| Int)) % 0.35/0.59 (declare-const |tptp.'left:(Tree)>Tree'| (-> |tptp.'Tree'| |tptp.'Tree'|)) % 0.35/0.59 (declare-const tptp.in (-> Int |tptp.'Tree'| Bool)) % 0.35/0.59 (declare-const |tptp.'right:(Tree)>Tree'| (-> |tptp.'Tree'| |tptp.'Tree'|)) % 0.35/0.59 (define @t1 () (@var "X" |tptp.'Tree'|)) % 0.35/0.59 (define @t2 () (@var "X_1_0" Int)) % 0.35/0.59 (define @t3 () (@var "X_1_2" |tptp.'Tree'|)) % 0.35/0.59 (define @t4 () (@var "X_1_1" |tptp.'Tree'|)) % 0.35/0.59 (define @t5 () (|tptp.'node:(Int*Tree*Tree)>Tree'| @t2 @t4 @t3)) % 0.35/0.59 (define @t6 () (@list @t2 @t4 @t3)) % 0.35/0.59 (define @t7 () (@var "T" |tptp.'Tree'|)) % 0.35/0.59 (define @t8 () (|tptp.'right:(Tree)>Tree'| @t7)) % 0.35/0.59 (define @t9 () (@var "V" Int)) % 0.35/0.59 (define @t10 () (tptp.in @t9 @t8)) % 0.35/0.59 (define @t11 () (|tptp.'left:(Tree)>Tree'| @t7)) % 0.35/0.59 (define @t12 () (tptp.in @t9 @t11)) % 0.35/0.59 (define @t13 () (|tptp.'val:(Tree)>Int'| @t7)) % 0.35/0.59 (define @t14 () (= @t9 @t13)) % 0.35/0.59 (define @t15 () (= @t7 |tptp.'empty:Tree'|)) % 0.35/0.59 (define @t16 () (not @t15)) % 0.35/0.59 (define @t17 () (=> @t10 (> @t9 @t13))) % 0.35/0.59 (define @t18 () (@list @t9)) % 0.35/0.59 (define @t19 () (forall @t18 @t17)) % 0.35/0.59 (define @t20 () (<= @t9 @t13)) % 0.35/0.59 (define @t21 () (=> @t12 @t20)) % 0.35/0.59 (define @t22 () (forall @t18 @t21)) % 0.35/0.59 (define @t23 () (tptp.searchtree @t8)) % 0.35/0.59 (define @t24 () (tptp.searchtree @t11)) % 0.35/0.59 (define @t25 () (and @t24 @t23 @t22 @t19)) % 0.35/0.59 (define @t26 () (=> @t16 @t25)) % 0.35/0.59 (define @t27 () (=> @t15 true)) % 0.35/0.59 (define @t28 () (and @t27 @t26)) % 0.35/0.59 (define @t29 () (tptp.searchtree @t7)) % 0.35/0.59 (define @t30 () (= @t29 @t28)) % 0.35/0.59 (define @t31 () (@list @t7)) % 0.35/0.59 (define @t32 () (forall @t31 @t30)) % 0.35/0.59 (define @t33 () (@var "T_2" |tptp.'Tree'|)) % 0.35/0.59 (define @t34 () (tptp.searchtree @t33)) % 0.35/0.59 (define @t35 () (= @t33 @t8)) % 0.35/0.59 (define @t36 () (and @t35 @t34)) % 0.35/0.59 (define @t37 () (@list @t33)) % 0.35/0.59 (define @t38 () (exists @t37 @t36)) % 0.35/0.59 (define @t39 () (< @t9 @t13)) % 0.35/0.59 (define @t40 () (not @t39)) % 0.35/0.59 (define @t41 () (=> @t40 @t38)) % 0.35/0.59 (define @t42 () (@var "T_1" |tptp.'Tree'|)) % 0.35/0.59 (define @t43 () (tptp.searchtree @t42)) % 0.35/0.59 (define @t44 () (= @t42 @t11)) % 0.35/0.59 (define @t45 () (and @t44 @t43)) % 0.35/0.59 (define @t46 () (@list @t42)) % 0.35/0.59 (define @t47 () (exists @t46 @t45)) % 0.35/0.59 (define @t48 () (=> @t39 @t47)) % 0.35/0.59 (define @t49 () (and @t48 @t41)) % 0.35/0.59 (define @t50 () (not @t14)) % 0.35/0.59 (define @t51 () (=> @t50 @t49)) % 0.35/0.59 (define @t52 () (and (=> @t14 true) @t51)) % 0.35/0.59 (define @t53 () (=> @t16 @t52)) % 0.35/0.59 (define @t54 () (and @t27 @t53)) % 0.35/0.59 (define @t55 () (=> @t29 @t54)) % 0.35/0.59 (define @t56 () (@list @t7 @t9)) % 0.35/0.59 (define @t57 () (forall @t56 @t55)) % 0.35/0.59 (define @t58 () (not @t57)) % 0.35/0.59 (define @t59 () (+ @t9 (* -1 @t13))) % 0.35/0.59 (define @t60 () (>= @t59 0)) % 0.35/0.59 (define @t61 () (not @t60)) % 0.35/0.59 (define @t62 () (and (or @t60 @t24) (or @t61 @t23))) % 0.35/0.59 (define @t63 () (= |tptp.'empty:Tree'| @t7)) % 0.35/0.59 (define @t64 () (not @t29)) % 0.35/0.59 (define @t65 () (or @t64 @t63 @t14 @t62)) % 0.35/0.59 (define @t66 () (or @t63 @t14 @t62)) % 0.35/0.59 (define @t67 () (and (=> @t61 @t24) (=> @t60 @t23))) % 0.35/0.59 (define @t68 () (=> @t50 @t67)) % 0.35/0.59 (define @t69 () (not @t63)) % 0.35/0.59 (define @t70 () (not @t69)) % 0.35/0.59 (define @t71 () (=> @t69 @t68)) % 0.35/0.59 (define @t72 () (not @t23)) % 0.35/0.59 (define @t73 () (not (= @t8 @t8))) % 0.35/0.59 (define @t74 () (or @t73 @t72)) % 0.35/0.59 (define @t75 () (not @t34)) % 0.35/0.59 (define @t76 () (= @t8 @t33)) % 0.35/0.59 (define @t77 () (not @t76)) % 0.35/0.59 (define @t78 () (or @t77 @t77 @t75)) % 0.35/0.59 (define @t79 () (or @t77 @t75)) % 0.35/0.59 (define @t80 () (and @t76 @t34)) % 0.35/0.59 (define @t81 () (forall @t37 (not @t80))) % 0.35/0.59 (define @t82 () (not @t81)) % 0.35/0.59 (define @t83 () (>= @t9 @t13)) % 0.35/0.59 (define @t84 () (not @t24)) % 0.35/0.59 (define @t85 () (not (= @t11 @t11))) % 0.35/0.59 (define @t86 () (or @t85 @t84)) % 0.35/0.59 (define @t87 () (not @t43)) % 0.35/0.59 (define @t88 () (= @t11 @t42)) % 0.35/0.59 (define @t89 () (not @t88)) % 0.35/0.59 (define @t90 () (or @t89 @t89 @t87)) % 0.35/0.59 (define @t91 () (or @t89 @t87)) % 0.35/0.59 (define @t92 () (and @t88 @t43)) % 0.35/0.59 (define @t93 () (forall @t46 (not @t92))) % 0.35/0.59 (define @t94 () (not @t93)) % 0.35/0.59 (define @t95 () (forall @t56 @t65)) % 0.35/0.59 (define @t96 () (@quantifiers_skolemize @t95 0)) % 0.35/0.59 (define @t97 () (|tptp.'right:(Tree)>Tree'| @t96)) % 0.35/0.59 (define @t98 () (tptp.searchtree @t97)) % 0.35/0.59 (define @t99 () (|tptp.'val:(Tree)>Int'| @t96)) % 0.35/0.59 (define @t100 () (* -1 @t99)) % 0.35/0.59 (define @t101 () (@quantifiers_skolemize @t95 1)) % 0.35/0.59 (define @t102 () (>= (+ @t101 @t100) 0)) % 0.35/0.59 (define @t103 () (or (not @t102) @t98)) % 0.35/0.59 (define @t104 () (|tptp.'left:(Tree)>Tree'| @t96)) % 0.35/0.59 (define @t105 () (tptp.searchtree @t104)) % 0.35/0.59 (define @t106 () (or @t102 @t105)) % 0.35/0.59 (define @t107 () (and @t106 @t103)) % 0.35/0.59 (define @t108 () (= |tptp.'empty:Tree'| @t96)) % 0.35/0.59 (define @t109 () (tptp.searchtree @t96)) % 0.35/0.59 (define @t110 () (not @t109)) % 0.35/0.59 (define @t111 () (or @t110 @t108 (= @t101 @t99) @t107)) % 0.35/0.59 (define @t112 () (@list true)) % 0.35/0.59 (define @t113 () (@list @t111)) % 0.35/0.59 (define @t114 () (>= @t59 1)) % 0.35/0.59 (define @t115 () (not @t114)) % 0.35/0.59 (define @t116 () (and @t24 @t23 (forall @t18 (or (not @t12) @t115)) (forall @t18 (or (not @t10) @t114)))) % 0.35/0.59 (define @t117 () (=> @t69 @t116)) % 0.35/0.59 (define @t118 () (= @t29 @t117)) % 0.35/0.59 (define @t119 () (+ @t13 1)) % 0.35/0.59 (define @t120 () (>= @t9 @t119)) % 0.35/0.59 (define @t121 () (>= (+ @t9 @t100) 1)) % 0.35/0.59 (define @t122 () (and @t105 @t98 (forall @t18 (or (not (tptp.in @t9 @t104)) (not @t121))) (forall @t18 (or (not (tptp.in @t9 @t97)) @t121)))) % 0.35/0.59 (define @t123 () (or @t108 @t122)) % 0.35/0.59 (define @t124 () (= @t109 @t123)) % 0.35/0.59 (define @t125 () (not @t122)) % 0.35/0.59 (define @t126 () (@list false)) % 0.35/0.59 (define @t127 () (@list @t122)) % 0.35/0.59 (assume @p1 (forall (@list @t1) (or (= @t1 |tptp.'empty:Tree'|) (= @t1 (|tptp.'node:(Int*Tree*Tree)>Tree'| (|tptp.'val:(Tree)>Int'| @t1) (|tptp.'left:(Tree)>Tree'| @t1) (|tptp.'right:(Tree)>Tree'| @t1)))))) % 0.35/0.59 (assume @p2 (forall @t6 (= (|tptp.'val:(Tree)>Int'| @t5) @t2))) % 0.35/0.59 (assume @p3 (forall @t6 (= (|tptp.'left:(Tree)>Tree'| @t5) @t4))) % 0.35/0.59 (assume @p4 (forall @t6 (= (|tptp.'right:(Tree)>Tree'| @t5) @t3))) % 0.35/0.59 (assume @p5 (forall @t6 (not (= |tptp.'empty:Tree'| @t5)))) % 0.35/0.59 (assume @p6 (forall (@list @t9 @t7) (= (tptp.in @t9 @t7) (and (=> @t15 false) (=> @t16 (or @t14 @t12 @t10)))))) % 0.35/0.59 (assume @p7 @t32) % 0.35/0.59 (assume @p8 @t58) % 0.35/0.59 (assume @p9 true) % 0.35/0.59 (step @p10 :rule aci_norm :args ((= (or @t64 @t66) @t65))) % 0.35/0.59 (step @p11 :rule aci_norm :args ((= (or @t63 (or @t14 @t62)) @t66))) % 0.35/0.59 (step @p12 :rule bool-impl-elim :args (@t60 @t23)) % 0.35/0.59 (step @p13 :rule refl :args (@t24)) % 0.35/0.59 (step @p14 :rule bool-double-not-elim :args (@t60)) % 0.35/0.59 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or (not @t61) @t24))) % 0.35/0.59 (step @p16 :rule bool-impl-elim :args (@t61 @t24)) % 0.35/0.59 (step @p17 :rule trans :premises (@p16 @p15)) % 0.35/0.59 (step @p18 :rule nary_cong :premises (@p17 @p12) :args (@t67)) % 0.35/0.59 (step @p19 :rule refl :args (@t14)) % 0.35/0.59 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t14 @t67))) % 0.35/0.59 (step @p21 :rule refl :args (@t67)) % 0.35/0.59 (step @p22 :rule bool-double-not-elim :args (@t14)) % 0.35/0.59 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t50) @t67))) % 0.35/0.59 (step @p24 :rule bool-impl-elim :args (@t50 @t67)) % 0.35/0.59 (step @p25 :rule trans :premises (@p24 @p23)) % 0.35/0.59 (step @p26 :rule trans :premises (@p25 @p20)) % 0.35/0.59 (step @p27 :rule refl :args (@t63)) % 0.35/0.59 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t63 @t68))) % 0.35/0.59 (step @p29 :rule trans :premises (@p28 @p11)) % 0.35/0.59 (step @p30 :rule refl :args (@t68)) % 0.35/0.59 (step @p31 :rule bool-double-not-elim :args (@t63)) % 0.35/0.59 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t70 @t68))) % 0.35/0.59 (step @p33 :rule bool-impl-elim :args (@t69 @t68)) % 0.35/0.59 (step @p34 :rule trans :premises (@p33 @p32)) % 0.35/0.59 (step @p35 :rule trans :premises (@p34 @p29)) % 0.35/0.59 (step @p36 :rule refl :args (@t64)) % 0.35/0.59 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t64 @t71))) % 0.35/0.59 (step @p38 :rule trans :premises (@p37 @p10)) % 0.35/0.59 (step @p39 :rule bool-impl-elim :args (@t29 @t71)) % 0.35/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.35/0.59 (step @p41 :rule cong :premises (@p40) :args ((forall @t56 (=> @t29 @t71)))) % 0.35/0.59 (step @p42 :rule aci_norm :args ((= (and true @t71) @t71))) % 0.35/0.59 (step @p43 :rule aci_norm :args ((= (and true @t68) @t68))) % 0.35/0.59 (step @p44 :rule bool-double-not-elim :args (@t23)) % 0.35/0.59 (step @p45 :rule aci_norm :args ((= (or false @t72) @t72))) % 0.35/0.59 (step @p46 :rule refl :args (@t72)) % 0.35/0.59 (step @p47 :rule evaluate :args ((not true))) % 0.35/0.59 (step @p48 :rule eq-refl :args (@t8)) % 0.35/0.59 (step @p49 :rule cong :premises (@p48) :args (@t73)) % 0.35/0.59 (step @p50 :rule trans :premises (@p49 @p47)) % 0.35/0.59 (step @p51 :rule nary_cong :premises (@p50 @p46) :args (@t74)) % 0.35/0.59 (step @p52 :rule trans :premises (@p51 @p45)) % 0.35/0.59 (step @p53 :rule quant-var-elim-eq :args ((= (forall @t37 (or (not @t35) @t77 @t75)) @t74))) % 0.35/0.59 (step @p54 :rule refl :args (@t75)) % 0.35/0.59 (step @p55 :rule refl :args (@t77)) % 0.35/0.59 (step @p56 :rule eq-symm :args (@t8 @t33)) % 0.35/0.59 (step @p57 :rule cong :premises (@p56) :args (@t77)) % 0.35/0.59 (step @p58 :rule nary_cong :premises (@p57 @p55 @p54) :args (@t78)) % 0.35/0.59 (step @p59 :rule aci_norm :args ((= @t79 @t78))) % 0.35/0.59 (step @p60 :rule trans :premises (@p59 @p58)) % 0.35/0.59 (step @p61 :rule cong :premises (@p60) :args ((forall @t37 @t79))) % 0.35/0.59 (step @p62 :rule trans :premises (@p61 @p53)) % 0.35/0.59 (step @p63 :rule trans :premises (@p62 @p52)) % 0.35/0.59 (step @p64 :rule bool-and-de-morgan :args (@t76 @t34 true)) % 0.35/0.59 (step @p65 :rule cong :premises (@p64) :args (@t81)) % 0.35/0.59 (step @p66 :rule trans :premises (@p65 @p63)) % 0.35/0.59 (step @p67 :rule cong :premises (@p66) :args (@t82)) % 0.35/0.59 (step @p68 :rule trans :premises (@p67 @p44)) % 0.35/0.59 (step @p69 :rule exists-elim :args ((= (exists @t37 @t80) @t82))) % 0.35/0.59 (step @p70 :rule trans :premises (@p69 @p68)) % 0.35/0.59 (step @p71 :rule refl :args (@t34)) % 0.35/0.59 (step @p72 :rule eq-symm :args (@t33 @t8)) % 0.35/0.59 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t36)) % 0.35/0.59 (step @p74 :rule cong :premises (@p73) :args (@t38)) % 0.35/0.59 (step @p75 :rule trans :premises (@p74 @p70)) % 0.35/0.59 (step @p76 :rule arith_poly_norm :args ((= (* 1 (- @t9 @t13)) (* 1 (- @t59 0))))) % 0.35/0.59 (step @p77 :rule arith_poly_norm_rel :premises (@p76) :args ((= @t83 @t60))) % 0.35/0.59 (step @p78 :rule cong :premises (@p77) :args ((not @t83))) % 0.35/0.59 (step @p79 :rule arith-elim-lt :args (@t9 @t13)) % 0.35/0.59 (step @p80 :rule trans :premises (@p79 @p78)) % 0.35/0.59 (step @p81 :rule cong :premises (@p80) :args (@t40)) % 0.35/0.59 (step @p82 :rule trans :premises (@p81 @p14)) % 0.35/0.59 (step @p83 :rule cong :premises (@p82 @p75) :args (@t41)) % 0.35/0.59 (step @p84 :rule bool-double-not-elim :args (@t24)) % 0.35/0.59 (step @p85 :rule aci_norm :args ((= (or false @t84) @t84))) % 0.35/0.59 (step @p86 :rule refl :args (@t84)) % 0.35/0.59 (step @p87 :rule eq-refl :args (@t11)) % 0.35/0.59 (step @p88 :rule cong :premises (@p87) :args (@t85)) % 0.35/0.59 (step @p89 :rule trans :premises (@p88 @p47)) % 0.35/0.59 (step @p90 :rule nary_cong :premises (@p89 @p86) :args (@t86)) % 0.35/0.59 (step @p91 :rule trans :premises (@p90 @p85)) % 0.35/0.59 (step @p92 :rule quant-var-elim-eq :args ((= (forall @t46 (or (not @t44) @t89 @t87)) @t86))) % 0.35/0.59 (step @p93 :rule refl :args (@t87)) % 0.35/0.59 (step @p94 :rule refl :args (@t89)) % 0.35/0.59 (step @p95 :rule eq-symm :args (@t11 @t42)) % 0.35/0.59 (step @p96 :rule cong :premises (@p95) :args (@t89)) % 0.35/0.59 (step @p97 :rule nary_cong :premises (@p96 @p94 @p93) :args (@t90)) % 0.35/0.59 (step @p98 :rule aci_norm :args ((= @t91 @t90))) % 0.35/0.59 (step @p99 :rule trans :premises (@p98 @p97)) % 0.35/0.59 (step @p100 :rule cong :premises (@p99) :args ((forall @t46 @t91))) % 0.35/0.59 (step @p101 :rule trans :premises (@p100 @p92)) % 0.35/0.59 (step @p102 :rule trans :premises (@p101 @p91)) % 0.35/0.59 (step @p103 :rule bool-and-de-morgan :args (@t88 @t43 true)) % 0.35/0.59 (step @p104 :rule cong :premises (@p103) :args (@t93)) % 0.35/0.59 (step @p105 :rule trans :premises (@p104 @p102)) % 0.35/0.59 (step @p106 :rule cong :premises (@p105) :args (@t94)) % 0.35/0.59 (step @p107 :rule trans :premises (@p106 @p84)) % 0.35/0.59 (step @p108 :rule exists-elim :args ((= (exists @t46 @t92) @t94))) % 0.35/0.59 (step @p109 :rule trans :premises (@p108 @p107)) % 0.35/0.59 (step @p110 :rule refl :args (@t43)) % 0.35/0.59 (step @p111 :rule eq-symm :args (@t42 @t11)) % 0.35/0.59 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t45)) % 0.35/0.59 (step @p113 :rule cong :premises (@p112) :args (@t47)) % 0.35/0.59 (step @p114 :rule trans :premises (@p113 @p109)) % 0.35/0.59 (step @p115 :rule cong :premises (@p80 @p114) :args (@t48)) % 0.35/0.59 (step @p116 :rule nary_cong :premises (@p115 @p83) :args (@t49)) % 0.35/0.59 (step @p117 :rule refl :args (@t50)) % 0.35/0.59 (step @p118 :rule cong :premises (@p117 @p116) :args (@t51)) % 0.35/0.59 (step @p119 :rule bool-impl-true1 :args (@t14)) % 0.35/0.59 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t52)) % 0.35/0.59 (step @p121 :rule trans :premises (@p120 @p43)) % 0.35/0.59 (step @p122 :rule eq-symm :args (@t7 |tptp.'empty:Tree'|)) % 0.35/0.59 (step @p123 :rule cong :premises (@p122) :args (@t16)) % 0.35/0.59 (step @p124 :rule cong :premises (@p123 @p121) :args (@t53)) % 0.35/0.59 (step @p125 :rule bool-impl-true1 :args (@t15)) % 0.35/0.59 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t54)) % 0.35/0.59 (step @p127 :rule trans :premises (@p126 @p42)) % 0.35/0.59 (step @p128 :rule refl :args (@t29)) % 0.35/0.59 (step @p129 :rule cong :premises (@p128 @p127) :args (@t55)) % 0.35/0.59 (step @p130 :rule cong :premises (@p129) :args (@t57)) % 0.35/0.59 (step @p131 :rule trans :premises (@p130 @p41)) % 0.35/0.59 (step @p132 :rule cong :premises (@p131) :args (@t58)) % 0.35/0.59 (step @p133 :rule eq_resolve :premises (@p8 @p132)) % 0.35/0.59 (step @p134 :rule skolemize :premises (@p133)) % 0.35/0.59 (step @p135 :rule cnf_or_neg :args (@t111 3)) % 0.35/0.59 (step @p136 :rule chain_m_resolution :premises (@p135 @p134) :args ((not @t107) @t112 @t113)) % 0.35/0.59 (step @p137 :rule refl :args (@t116)) % 0.35/0.59 (step @p138 :rule nary_cong :premises (@p31 @p137) :args ((or @t70 @t116))) % 0.35/0.59 (step @p139 :rule bool-impl-elim :args (@t69 @t116)) % 0.35/0.59 (step @p140 :rule trans :premises (@p139 @p138)) % 0.35/0.59 (step @p141 :rule refl :args (@t29)) % 0.35/0.59 (step @p142 :rule cong :premises (@p141 @p140) :args (@t118)) % 0.35/0.59 (step @p143 :rule cong :premises (@p142) :args ((forall @t31 @t118))) % 0.35/0.59 (step @p144 :rule aci_norm :args ((= (and true @t117) @t117))) % 0.35/0.59 (step @p145 :rule bool-impl-elim :args (@t10 @t114)) % 0.35/0.59 (step @p146 :rule cong :premises (@p145) :args ((forall @t18 (=> @t10 @t114)))) % 0.35/0.59 (step @p147 :rule bool-double-not-elim :args (@t114)) % 0.35/0.59 (step @p148 :rule arith_poly_norm :args ((= (* -1 (- @t9 @t119)) (* -1 (- @t59 1))))) % 0.35/0.59 (step @p149 :rule arith_poly_norm_rel :premises (@p148) :args ((= @t120 @t114))) % 0.35/0.59 (step @p150 :rule cong :premises (@p149) :args ((not @t120))) % 0.35/0.59 (step @p151 :rule arith-leq-norm :args (@t9 @t13)) % 0.35/0.59 (step @p152 :rule trans :premises (@p151 @p150)) % 0.35/0.59 (step @p153 :rule cong :premises (@p152) :args ((not @t20))) % 0.35/0.59 (step @p154 :rule trans :premises (@p153 @p147)) % 0.35/0.59 (step @p155 :rule arith-elim-leq :args (@t9 @t13)) % 0.35/0.59 (step @p156 :rule symm :premises (@p155)) % 0.35/0.59 (step @p157 :rule cong :premises (@p156) :args ((not (>= @t13 @t9)))) % 0.35/0.59 (step @p158 :rule arith-elim-gt :args (@t9 @t13)) % 0.35/0.59 (step @p159 :rule trans :premises (@p158 @p157)) % 0.35/0.59 (step @p160 :rule trans :premises (@p159 @p154)) % 0.35/0.59 (step @p161 :rule refl :args (@t10)) % 0.35/0.59 (step @p162 :rule cong :premises (@p161 @p160) :args (@t17)) % 0.35/0.59 (step @p163 :rule cong :premises (@p162) :args (@t19)) % 0.35/0.59 (step @p164 :rule trans :premises (@p163 @p146)) % 0.35/0.59 (step @p165 :rule bool-impl-elim :args (@t12 @t115)) % 0.35/0.60 (step @p166 :rule cong :premises (@p165) :args ((forall @t18 (=> @t12 @t115)))) % 0.35/0.60 (step @p167 :rule refl :args (@t12)) % 0.35/0.60 (step @p168 :rule cong :premises (@p167 @p152) :args (@t21)) % 0.35/0.60 (step @p169 :rule cong :premises (@p168) :args (@t22)) % 0.35/0.60 (step @p170 :rule trans :premises (@p169 @p166)) % 0.35/0.60 (step @p171 :rule refl :args (@t23)) % 0.35/0.60 (step @p172 :rule refl :args (@t24)) % 0.35/0.60 (step @p173 :rule nary_cong :premises (@p172 @p171 @p170 @p164) :args (@t25)) % 0.35/0.60 (step @p174 :rule cong :premises (@p123 @p173) :args (@t26)) % 0.35/0.60 (step @p175 :rule nary_cong :premises (@p125 @p174) :args (@t28)) % 0.35/0.60 (step @p176 :rule trans :premises (@p175 @p144)) % 0.35/0.60 (step @p177 :rule cong :premises (@p128 @p176) :args (@t30)) % 0.35/0.60 (step @p178 :rule cong :premises (@p177) :args (@t32)) % 0.35/0.60 (step @p179 :rule trans :premises (@p178 @p143)) % 0.35/0.60 (step @p180 :rule eq_resolve :premises (@p7 @p179)) % 0.35/0.60 (step @p181 :rule instantiate :premises (@p180) :args ((@list @t96))) % 0.35/0.60 (step @p182 :rule bool-double-not-elim :args (@t109)) % 0.35/0.60 (step @p183 :rule refl :args (@t111)) % 0.35/0.60 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t111 (not @t110)))) % 0.35/0.60 (step @p185 :rule cnf_or_neg :args (@t111 0)) % 0.35/0.60 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.35/0.60 (step @p187 :rule reordering :premises (@p186) :args ((or @t109 @t111))) % 0.35/0.60 (step @p188 :rule chain_m_resolution :premises (@p187 @p134) :args (@t109 @t112 @t113)) % 0.35/0.60 (step @p189 :rule cnf_equiv_pos1 :args (@t124)) % 0.35/0.60 (step @p190 :rule reordering :premises (@p189) :args ((or @t110 @t123 (not @t124)))) % 0.35/0.60 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p181) :args (@t123 (@list false false) (@list @t109 @t124))) % 0.35/0.60 (step @p192 :rule cnf_or_neg :args (@t111 1)) % 0.35/0.60 (step @p193 :rule chain_m_resolution :premises (@p192 @p134) :args ((not @t108) @t112 @t113)) % 0.35/0.60 (step @p194 :rule cnf_or_pos :args (@t123)) % 0.35/0.60 (step @p195 :rule reordering :premises (@p194) :args ((or @t108 @t122 (not @t123)))) % 0.35/0.60 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p191) :args (@t122 (@list true false) (@list @t108 @t123))) % 0.35/0.60 (step @p197 :rule cnf_and_pos :args (@t122 0)) % 0.35/0.60 (step @p198 :rule reordering :premises (@p197) :args ((or @t105 @t125))) % 0.35/0.60 (step @p199 :rule chain_m_resolution :premises (@p198 @p196) :args (@t105 @t126 @t127)) % 0.35/0.60 (step @p200 :rule cnf_or_neg :args (@t106 1)) % 0.35/0.60 (step @p201 :rule chain_m_resolution :premises (@p200 @p199) :args (@t106 @t126 (@list @t105))) % 0.35/0.60 (step @p202 :rule cnf_and_pos :args (@t122 1)) % 0.35/0.60 (step @p203 :rule reordering :premises (@p202) :args ((or @t98 @t125))) % 0.35/0.60 (step @p204 :rule chain_m_resolution :premises (@p203 @p196) :args (@t98 @t126 @t127)) % 0.35/0.60 (step @p205 :rule cnf_or_neg :args (@t103 1)) % 0.35/0.60 (step @p206 :rule chain_m_resolution :premises (@p205 @p204) :args (@t103 @t126 (@list @t98))) % 0.35/0.60 (step @p207 :rule cnf_and_neg :args (@t107)) % 0.35/0.60 (step @p208 false :rule chain_m_resolution :premises (@p207 @p206 @p201 @p136) :args (false (@list false false true) (@list @t103 @t106 @t107))) % 0.35/0.60 ) % 0.35/0.60 % SZS output end Proof % 0.35/0.60 % cvc5 exiting %------------------------------------------------------------------------------