%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT038_1 : TPTP v9.2.1. Released v5.0.0. % 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 08:14:23 AM UTC 2026 % Result : Theorem 9.73s 9.91s % Output : Proof 9.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT038_1 : TPTP v9.2.1. Released v5.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n029.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Mon Jun 1 22:27:02 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 9.73/9.91 --- Run --finite-model-find --decision=internal at 45... % 9.73/9.91 % SZS status Theorem % 9.73/9.91 % SZS output start Proof % 9.73/9.91 ( % 9.73/9.91 (declare-sort tptp.collection 0) % 9.73/9.91 (declare-const tptp.count (-> tptp.collection Int)) % 9.73/9.91 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 9.73/9.91 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 9.73/9.91 (declare-const tptp.in (-> Int tptp.collection Bool)) % 9.73/9.91 (declare-const tptp.empty tptp.collection) % 9.73/9.91 (define @t1 () (@var "U" Int)) % 9.73/9.91 (define @t2 () (@var "W" tptp.collection)) % 9.73/9.91 (define @t3 () (@var "V" Int)) % 9.73/9.91 (define @t4 () (@var "Y" tptp.collection)) % 9.73/9.91 (define @t5 () (@var "X" Int)) % 9.73/9.91 (define @t6 () (@var "X1" tptp.collection)) % 9.73/9.91 (define @t7 () (@var "X2" Int)) % 9.73/9.91 (define @t8 () (@var "Z" Int)) % 9.73/9.91 (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 9.73/9.91 (define @t10 () (@var "X4" tptp.collection)) % 9.73/9.91 (define @t11 () (@var "X5" Int)) % 9.73/9.91 (define @t12 () (@var "X3" Int)) % 9.73/9.91 (define @t13 () (@var "X6" tptp.collection)) % 9.73/9.91 (define @t14 () (@var "X7" tptp.collection)) % 9.73/9.91 (define @t15 () (= (tptp.count @t14) 0)) % 9.73/9.91 (define @t16 () (= (= @t14 tptp.empty) @t15)) % 9.73/9.91 (define @t17 () (@list @t14)) % 9.73/9.91 (define @t18 () (forall @t17 @t16)) % 9.73/9.91 (define @t19 () (@var "X9" tptp.collection)) % 9.73/9.91 (define @t20 () (@var "X8" Int)) % 9.73/9.91 (define @t21 () (@var "X11" tptp.collection)) % 9.73/9.91 (define @t22 () (@var "X10" Int)) % 9.73/9.91 (define @t23 () (@var "X13" tptp.collection)) % 9.73/9.91 (define @t24 () (tptp.count @t23)) % 9.73/9.91 (define @t25 () (- @t24 1)) % 9.73/9.91 (define @t26 () (@var "X12" Int)) % 9.73/9.91 (define @t27 () (tptp.count (tptp.remove @t26 @t23))) % 9.73/9.91 (define @t28 () (= @t27 @t25)) % 9.73/9.91 (define @t29 () (tptp.in @t26 @t23)) % 9.73/9.91 (define @t30 () (= @t29 @t28)) % 9.73/9.91 (define @t31 () (@list @t26 @t23)) % 9.73/9.91 (define @t32 () (forall @t31 @t30)) % 9.73/9.91 (define @t33 () (@var "X15" tptp.collection)) % 9.73/9.91 (define @t34 () (@var "X14" Int)) % 9.73/9.91 (define @t35 () (@var "X17" tptp.collection)) % 9.73/9.91 (define @t36 () (@var "X16" Int)) % 9.73/9.91 (define @t37 () (= @t35 (tptp.add @t36 (tptp.remove @t36 @t35)))) % 9.73/9.91 (define @t38 () (tptp.in @t36 @t35)) % 9.73/9.91 (define @t39 () (forall (@list @t36 @t35) (=> @t38 @t37))) % 9.73/9.91 (define @t40 () (@var "U" tptp.collection)) % 9.73/9.91 (define @t41 () (not (tptp.in 5 @t40))) % 9.73/9.91 (define @t42 () (= (tptp.count @t40) 2)) % 9.73/9.91 (define @t43 () (tptp.in 3 @t40)) % 9.73/9.91 (define @t44 () (tptp.in 2 @t40)) % 9.73/9.91 (define @t45 () (and @t44 @t43 @t42)) % 9.73/9.91 (define @t46 () (@list @t40)) % 9.73/9.91 (define @t47 () (forall @t46 (=> @t45 @t41))) % 9.73/9.91 (define @t48 () (not @t47)) % 9.73/9.91 (define @t49 () (not @t42)) % 9.73/9.91 (define @t50 () (not @t43)) % 9.73/9.91 (define @t51 () (not @t44)) % 9.73/9.91 (define @t52 () (or @t51 @t50 @t49 @t41)) % 9.73/9.91 (define @t53 () (or @t51 @t50 @t49)) % 9.73/9.91 (define @t54 () (@quantifiers_skolemize (forall @t46 @t52) 0)) % 9.73/9.91 (define @t55 () (tptp.count @t54)) % 9.73/9.91 (define @t56 () (= @t55 2)) % 9.73/9.91 (define @t57 () (tptp.in 5 @t54)) % 9.73/9.91 (define @t58 () (not @t57)) % 9.73/9.91 (define @t59 () (not @t56)) % 9.73/9.91 (define @t60 () (tptp.in 3 @t54)) % 9.73/9.91 (define @t61 () (not @t60)) % 9.73/9.91 (define @t62 () (tptp.in 2 @t54)) % 9.73/9.91 (define @t63 () (not @t62)) % 9.73/9.91 (define @t64 () (or @t63 @t61 @t59 @t58)) % 9.73/9.91 (define @t65 () (@list true)) % 9.73/9.91 (define @t66 () (@list @t64)) % 9.73/9.91 (define @t67 () (+ -1 @t24)) % 9.73/9.91 (define @t68 () (* -1 1)) % 9.73/9.91 (define @t69 () (+ @t24 @t68)) % 9.73/9.91 (define @t70 () (tptp.remove 2 @t54)) % 9.73/9.91 (define @t71 () (tptp.count @t70)) % 9.73/9.91 (define @t72 () (+ 1 @t71)) % 9.73/9.91 (define @t73 () (- @t55 @t72)) % 9.73/9.91 (define @t74 () (+ -1 @t55)) % 9.73/9.91 (define @t75 () (= @t55 @t72)) % 9.73/9.91 (define @t76 () (= @t71 @t74)) % 9.73/9.91 (define @t77 () (= @t62 @t76)) % 9.73/9.91 (define @t78 () (forall @t31 (= @t29 (= @t27 @t67)))) % 9.73/9.91 (define @t79 () (@list 2 @t54)) % 9.73/9.91 (define @t80 () (= @t62 @t75)) % 9.73/9.91 (define @t81 () (@list false)) % 9.73/9.91 (define @t82 () (@list @t78)) % 9.73/9.91 (define @t83 () (@list false false)) % 9.73/9.91 (define @t84 () (tptp.remove 3 @t70)) % 9.73/9.91 (define @t85 () (tptp.count @t84)) % 9.73/9.91 (define @t86 () (+ 1 @t85)) % 9.73/9.91 (define @t87 () (- @t71 @t86)) % 9.73/9.91 (define @t88 () (+ -1 @t71)) % 9.73/9.91 (define @t89 () (= @t71 @t86)) % 9.73/9.91 (define @t90 () (= @t85 @t88)) % 9.73/9.91 (define @t91 () (tptp.in 3 @t70)) % 9.73/9.91 (define @t92 () (= @t91 @t90)) % 9.73/9.91 (define @t93 () (@list 3 @t70)) % 9.73/9.91 (define @t94 () (= @t91 @t89)) % 9.73/9.91 (define @t95 () (tptp.add 2 @t70)) % 9.73/9.91 (define @t96 () (tptp.in 3 @t95)) % 9.73/9.91 (define @t97 () (= 3 2)) % 9.73/9.91 (define @t98 () (or @t91 @t97)) % 9.73/9.91 (define @t99 () (= @t98 @t96)) % 9.73/9.91 (define @t100 () (= @t91 @t96)) % 9.73/9.91 (define @t101 () (@list @t9)) % 9.73/9.91 (define @t102 () (= @t54 @t95)) % 9.73/9.91 (define @t103 () (or @t63 @t102)) % 9.73/9.91 (define @t104 () (not @t91)) % 9.73/9.91 (define @t105 () (* -1 @t85)) % 9.73/9.91 (define @t106 () (+ @t71 @t105)) % 9.73/9.91 (define @t107 () (>= @t106 2)) % 9.73/9.91 (define @t108 () (<= 0 -1)) % 9.73/9.91 (define @t109 () (* -1 2)) % 9.73/9.91 (define @t110 () (+ @t109 1)) % 9.73/9.91 (define @t111 () (* 0 @t71)) % 9.73/9.91 (define @t112 () (* 0 @t85)) % 9.73/9.91 (define @t113 () (+ @t112 @t111)) % 9.73/9.91 (define @t114 () (* -1 @t106)) % 9.73/9.91 (define @t115 () (+ @t114 @t106)) % 9.73/9.91 (define @t116 () (= (* -1 (- @t106 1)) (* -1 @t87))) % 9.73/9.91 (define @t117 () (= @t106 1)) % 9.73/9.91 (define @t118 () (= @t117 @t89)) % 9.73/9.91 (define @t119 () (< -1 0)) % 9.73/9.91 (define @t120 () (not @t107)) % 9.73/9.91 (define @t121 () (>= @t85 0)) % 9.73/9.91 (define @t122 () (not @t75)) % 9.73/9.91 (define @t123 () (not @t121)) % 9.73/9.91 (define @t124 () (+ -1 1)) % 9.73/9.91 (define @t125 () (>= @t85 @t124)) % 9.73/9.91 (define @t126 () (<= @t85 -1)) % 9.73/9.91 (define @t127 () (+ -1 1 2 @t109)) % 9.73/9.91 (define @t128 () (* -1 @t55)) % 9.73/9.91 (define @t129 () (* -1 @t71)) % 9.73/9.91 (define @t130 () (+ @t105 @t85 @t129 @t71 @t128 @t55)) % 9.73/9.91 (define @t131 () (+ @t55 @t129)) % 9.73/9.91 (define @t132 () (+ @t85 @t131 @t106 @t128)) % 9.73/9.91 (define @t133 () (>= @t132 @t127)) % 9.73/9.91 (define @t134 () (= (* -1 (- @t131 1)) (* -1 @t73))) % 9.73/9.91 (define @t135 () (= @t131 1)) % 9.73/9.91 (define @t136 () (= @t135 @t75)) % 9.73/9.91 (define @t137 () (and @t56 @t120 @t75 @t123)) % 9.73/9.91 (define @t138 () (@list false false true)) % 9.73/9.91 (define @t139 () (= tptp.empty @t14)) % 9.73/9.91 (define @t140 () (= @t85 0)) % 9.73/9.91 (define @t141 () (= tptp.empty @t84)) % 9.73/9.91 (define @t142 () (forall @t17 (= @t15 @t139))) % 9.73/9.91 (define @t143 () (= @t140 @t141)) % 9.73/9.91 (define @t144 () (= @t141 @t140)) % 9.73/9.91 (define @t145 () (tptp.add 3 tptp.empty)) % 9.73/9.91 (define @t146 () (tptp.in 5 @t145)) % 9.73/9.91 (define @t147 () (tptp.in 5 tptp.empty)) % 9.73/9.91 (define @t148 () (= 5 3)) % 9.73/9.91 (define @t149 () (or @t147 @t148)) % 9.73/9.91 (define @t150 () (= @t149 @t146)) % 9.73/9.91 (define @t151 () (= @t147 @t146)) % 9.73/9.91 (define @t152 () (not @t146)) % 9.73/9.91 (define @t153 () (@list true false)) % 9.73/9.91 (define @t154 () (tptp.in 5 @t95)) % 9.73/9.91 (define @t155 () (tptp.in 5 @t70)) % 9.73/9.91 (define @t156 () (= 5 2)) % 9.73/9.91 (define @t157 () (or @t155 @t156)) % 9.73/9.91 (define @t158 () (= @t157 @t154)) % 9.73/9.91 (define @t159 () (= @t155 @t154)) % 9.73/9.91 (define @t160 () (= @t70 (tptp.add 3 @t84))) % 9.73/9.91 (define @t161 () (or @t104 @t160)) % 9.73/9.91 (define @t162 () (not @t155)) % 9.73/9.91 (define @t163 () (not @t141)) % 9.73/9.91 (define @t164 () (not @t160)) % 9.73/9.91 (define @t165 () (and @t155 @t160 @t141 @t152)) % 9.73/9.91 (define @t166 () (not @t140)) % 9.73/9.91 (define @t167 () (not @t89)) % 9.73/9.91 (define @t168 () (>= @t85 1)) % 9.73/9.91 (define @t169 () (+ @t68 @t68 @t68 2)) % 9.73/9.91 (define @t170 () (+ @t129 @t85)) % 9.73/9.91 (define @t171 () (+ @t128 @t71)) % 9.73/9.91 (define @t172 () (* -1 @t131)) % 9.73/9.91 (define @t173 () (+ @t105 @t172 @t114 @t55)) % 9.73/9.91 (define @t174 () (and @t56 @t89 @t75 @t121 @t166)) % 9.73/9.91 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 9.73/9.91 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 9.73/9.91 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 9.73/9.91 (assume @p4 @t9) % 9.73/9.91 (assume @p5 (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10))))) % 9.73/9.91 (assume @p6 (forall (@list @t13) (>= (tptp.count @t13) 0))) % 9.73/9.91 (assume @p7 @t18) % 9.73/9.91 (assume @p8 (forall (@list @t20 @t19) (= (not (tptp.in @t20 @t19)) (= (tptp.count (tptp.add @t20 @t19)) (+ (tptp.count @t19) 1))))) % 9.73/9.91 (assume @p9 (forall (@list @t22 @t21) (= (tptp.in @t22 @t21) (= (tptp.count (tptp.add @t22 @t21)) (tptp.count @t21))))) % 9.73/9.91 (assume @p10 @t32) % 9.73/9.91 (assume @p11 (forall (@list @t34 @t33) (= (not (tptp.in @t34 @t33)) (= (tptp.count (tptp.remove @t34 @t33)) (tptp.count @t33))))) % 9.73/9.91 (assume @p12 @t39) % 9.73/9.91 (assume @p13 @t48) % 9.73/9.91 (assume @p14 true) % 9.73/9.91 (step @p15 :rule aci_norm :args ((= (or @t53 @t41) @t52))) % 9.73/9.91 (step @p16 :rule refl :args (@t41)) % 9.73/9.91 (step @p17 :rule aci_norm :args ((= (or @t51 (or @t50 @t49)) @t53))) % 9.73/9.91 (step @p18 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 9.73/9.91 (step @p19 :rule refl :args (@t51)) % 9.73/9.91 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t51 (not (and @t43 @t42))))) % 9.73/9.91 (step @p21 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42))) % 9.73/9.91 (step @p22 :rule trans :premises (@p21 @p20)) % 9.73/9.91 (step @p23 :rule trans :premises (@p22 @p17)) % 9.73/9.91 (step @p24 :rule nary_cong :premises (@p23 @p16) :args ((or (not @t45) @t41))) % 9.73/9.91 (step @p25 :rule trans :premises (@p24 @p15)) % 9.73/9.91 (step @p26 :rule bool-impl-elim :args (@t45 @t41)) % 9.73/9.91 (step @p27 :rule trans :premises (@p26 @p25)) % 9.73/9.91 (step @p28 :rule cong :premises (@p27) :args (@t47)) % 9.73/9.91 (step @p29 :rule cong :premises (@p28) :args (@t48)) % 9.73/9.91 (step @p30 :rule eq_resolve :premises (@p13 @p29)) % 9.73/9.91 (step @p31 :rule skolemize :premises (@p30)) % 9.73/9.91 (step @p32 :rule bool-double-not-elim :args (@t56)) % 9.73/9.91 (step @p33 :rule refl :args (@t64)) % 9.73/9.91 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t64 (not @t59)))) % 9.73/9.91 (step @p35 :rule cnf_or_neg :args (@t64 2)) % 9.73/9.91 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 9.73/9.91 (step @p37 :rule reordering :premises (@p36) :args ((or @t56 @t64))) % 9.73/9.91 (step @p38 :rule chain_m_resolution :premises (@p37 @p31) :args (@t56 @t65 @t66)) % 9.73/9.91 (step @p39 :rule arith_poly_norm :args ((= (+ @t24 -1) @t67))) % 9.73/9.91 (step @p40 :rule evaluate :args (@t68)) % 9.73/9.91 (step @p41 :rule refl :args (@t24)) % 9.73/9.91 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t69)) % 9.73/9.91 (step @p43 :rule trans :premises (@p42 @p39)) % 9.73/9.91 (step @p44 :rule arith_poly_norm :args ((= @t25 @t69))) % 9.73/9.91 (step @p45 :rule trans :premises (@p44 @p43)) % 9.73/9.91 (step @p46 :rule refl :args (@t27)) % 9.73/9.91 (step @p47 :rule cong :premises (@p46 @p45) :args (@t28)) % 9.73/9.91 (step @p48 :rule refl :args (@t29)) % 9.73/9.91 (step @p49 :rule cong :premises (@p48 @p47) :args (@t30)) % 9.73/9.91 (step @p50 :rule cong :premises (@p49) :args (@t32)) % 9.73/9.91 (step @p51 :rule eq_resolve :premises (@p10 @p50)) % 9.73/9.91 (step @p52 :rule arith_poly_norm :args ((= (* -1 (- @t71 @t74)) (* 1 @t73)))) % 9.73/9.91 (step @p53 :rule arith_poly_norm_rel :premises (@p52) :args ((= @t76 @t75))) % 9.73/9.91 (step @p54 :rule refl :args (@t62)) % 9.73/9.91 (step @p55 :rule cong :premises (@p54 @p53) :args (@t77)) % 9.73/9.91 (step @p56 :rule refl :args (@t78)) % 9.73/9.91 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t78 @t77))) % 9.73/9.91 (assume-push @p425 @t78) % 9.73/9.91 (step @p59 :rule instantiate :premises (@p51) :args (@t79)) % 9.73/9.91 (step-pop @p426 :rule scope :premises (@p59)) % 9.73/9.91 (step @p60 :rule process_scope :premises (@p426) :args (@t77)) % 9.73/9.91 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 9.73/9.91 (step @p63 :rule implies_elim :premises (@p62)) % 9.73/9.91 (step @p64 :rule chain_m_resolution :premises (@p63 @p51) :args (@t80 @t81 @t82)) % 9.73/9.91 (step @p65 :rule bool-double-not-elim :args (@t62)) % 9.73/9.91 (step @p66 :rule nary_cong :premises (@p33 @p65) :args ((or @t64 (not @t63)))) % 9.73/9.91 (step @p67 :rule cnf_or_neg :args (@t64 0)) % 9.73/9.91 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 9.73/9.91 (step @p69 :rule reordering :premises (@p68) :args ((or @t62 @t64))) % 9.73/9.91 (step @p70 :rule chain_m_resolution :premises (@p69 @p31) :args (@t62 @t65 @t66)) % 9.73/9.91 (step @p71 :rule cnf_equiv_pos1 :args (@t80)) % 9.73/9.91 (step @p72 :rule reordering :premises (@p71) :args ((or @t63 @t75 (not @t80)))) % 9.73/9.91 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p64) :args (@t75 @t83 (@list @t62 @t80))) % 9.73/9.91 (step @p74 :rule arith_poly_norm :args ((= (* -1 (- @t85 @t88)) (* 1 @t87)))) % 9.73/9.91 (step @p75 :rule arith_poly_norm_rel :premises (@p74) :args ((= @t90 @t89))) % 9.73/9.91 (step @p76 :rule refl :args (@t91)) % 9.73/9.91 (step @p77 :rule cong :premises (@p76 @p75) :args (@t92)) % 9.73/9.91 (step @p78 :rule cong :premises (@p56 @p77) :args ((=> @t78 @t92))) % 9.73/9.91 (assume-push @p427 @t78) % 9.73/9.91 (step @p80 :rule instantiate :premises (@p51) :args (@t93)) % 9.73/9.91 (step-pop @p428 :rule scope :premises (@p80)) % 9.73/9.91 (step @p81 :rule process_scope :premises (@p428) :args (@t92)) % 9.73/9.91 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 9.73/9.91 (step @p84 :rule implies_elim :premises (@p83)) % 9.73/9.91 (step @p85 :rule chain_m_resolution :premises (@p84 @p51) :args (@t94 @t81 @t82)) % 9.73/9.91 (step @p86 :rule refl :args (@t96)) % 9.73/9.91 (step @p87 :rule aci_norm :args ((= (or @t91 false) @t91))) % 9.73/9.91 (step @p88 :rule evaluate :args (@t97)) % 9.73/9.91 (step @p89 :rule nary_cong :premises (@p76 @p88) :args (@t98)) % 9.73/9.91 (step @p90 :rule trans :premises (@p89 @p87)) % 9.73/9.91 (step @p91 :rule cong :premises (@p90 @p86) :args (@t99)) % 9.73/9.91 (step @p92 :rule refl :args (@t9)) % 9.73/9.91 (step @p93 :rule cong :premises (@p92 @p91) :args ((=> @t9 @t99))) % 9.73/9.91 (assume-push @p429 @t9) % 9.73/9.91 (step @p95 :rule instantiate :premises (@p4) :args ((@list 3 @t70 2))) % 9.73/9.91 (step-pop @p430 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@p329)) % 9.73/9.91 (step @p332 :rule cong :premises (@p307 @p331) :args (@t146)) % 9.73/9.91 (step @p333 :rule false_intro :premises (@p284)) % 9.73/9.91 (step @p334 :rule symm :premises (@p333)) % 9.73/9.91 (step @p335 :rule trans :premises (@p334 @p332 @p328)) % 9.73/9.91 (step @p336 false :rule eq_resolve :premises (@p335 @p327)) % 9.73/9.91 (step-pop @p465 :rule scope :premises (@p336)) % 9.73/9.91 (step-pop @p466 :rule scope :premises (@p465)) % 9.73/9.91 (step-pop @p467 :rule scope :premises (@p466)) % 9.73/9.91 (step-pop @p468 :rule scope :premises (@p467)) % 9.73/9.91 (step @p337 :rule process_scope :premises (@p468) :args (false)) % 9.73/9.91 (assume-push @p469 @t160) % 9.73/9.91 (assume-push @p470 @t141) % 9.73/9.91 (assume-push @p471 @t155) % 9.73/9.91 (assume-push @p472 @t152) % 9.73/9.91 (step @p346 :rule and_intro :premises (@p313 @p317 @p470 @p284)) % 9.73/9.91 (step-pop @p473 :rule scope :premises (@p346)) % 9.73/9.91 (step-pop @p474 :rule scope :premises (@p473)) % 9.73/9.91 (step-pop @p475 :rule scope :premises (@p474)) % 9.73/9.91 (step-pop @p476 :rule scope :premises (@p475)) % 9.73/9.91 (step @p347 :rule process_scope :premises (@p476) :args (@t165)) % 9.73/9.91 (step @p352 :rule implies_elim :premises (@p347)) % 9.73/9.91 (step @p353 :rule resolution :premises (@p352 @p337) :args (true @t165)) % 9.73/9.91 (step @p354 :rule not_and :premises (@p353)) % 9.73/9.91 (step @p355 :rule eq_resolve :premises (@p354 @p322)) % 9.73/9.91 (step @p356 :rule chain_m_resolution :premises (@p355 @p317 @p313 @p284) :args (@t163 @t138 (@list @t160 @t155 @t146))) % 9.73/9.91 (step @p357 :rule cnf_equiv_pos2 :args (@t144)) % 9.73/9.91 (step @p358 :rule reordering :premises (@p357) :args ((or @t141 @t166 (not @t144)))) % 9.73/9.91 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p265) :args (@t166 @t153 (@list @t141 @t144))) % 9.73/9.91 (step @p360 :rule refl :args (@t123)) % 9.73/9.91 (step @p361 :rule bool-double-not-elim :args (@t140)) % 9.73/9.91 (step @p362 :rule refl :args (@t167)) % 9.73/9.91 (step @p363 :rule nary_cong :premises (@p171 @p170 @p362 @p361 @p360) :args ((or @t59 @t122 @t167 (not @t166) @t123))) % 9.73/9.91 (assume-push @p477 @t56) % 9.73/9.91 (assume-push @p478 @t89) % 9.73/9.91 (assume-push @p479 @t75) % 9.73/9.91 (assume-push @p480 @t121) % 9.73/9.91 (assume-push @p481 @t166) % 9.73/9.91 (step @p369 :rule arith-elim-lt :args (@t85 1)) % 9.73/9.91 (step @p370 :rule symm :premises (@p369)) % 9.73/9.91 (assume-push @p482 @t168) % 9.73/9.91 (step @p131 :rule evaluate :args (@t108)) % 9.73/9.91 (step @p372 :rule evaluate :args ((+ -1 -1 -1 2))) % 9.73/9.91 (step @p197 :rule refl :args (2)) % 9.73/9.91 (step @p373 :rule nary_cong :premises (@p40 @p40 @p40 @p197) :args (@t169)) % 9.73/9.91 (step @p374 :rule trans :premises (@p373 @p372)) % 9.73/9.91 (step @p375 :rule arith_poly_norm :args ((= (+ @t105 @t171 @t170 @t55) 0))) % 9.73/9.91 (step @p376 :rule refl :args (@t55)) % 9.73/9.91 (step @p377 :rule arith_poly_norm :args ((= @t114 @t170))) % 9.73/9.91 (step @p378 :rule arith_poly_norm :args ((= @t172 @t171))) % 9.73/9.91 (step @p379 :rule refl :args (@t105)) % 9.73/9.91 (step @p380 :rule nary_cong :premises (@p379 @p378 @p377 @p376) :args (@t173)) % 9.73/9.91 (step @p381 :rule trans :premises (@p380 @p375)) % 9.73/9.91 (step @p382 :rule cong :premises (@p381 @p374) :args ((<= @t173 @t169))) % 9.73/9.91 (step @p383 :rule trans :premises (@p382 @p131)) % 9.73/9.91 (step @p384 :rule arith_mult_neg :args (-1 @t117)) % 9.73/9.91 (step @p146 :rule arith_poly_norm :args (@t116)) % 9.73/9.91 (step @p147 :rule arith_poly_norm_rel :premises (@p146) :args (@t118)) % 9.73/9.91 (step @p148 :rule symm :premises (@p147)) % 9.73/9.91 (step @p149 :rule eq_resolve :premises (@p125 @p148)) % 9.73/9.91 (step @p151 :rule evaluate :args (@t119)) % 9.73/9.91 (step @p152 :rule true_elim :premises (@p151)) % 9.73/9.91 (step @p385 :rule and_intro :premises (@p152 @p149)) % 9.73/9.91 (step @p386 :rule modus_ponens :premises (@p385 @p384)) % 9.73/9.91 (step @p387 :rule arith_mult_neg :args (-1 @t135)) % 9.73/9.91 (step @p214 :rule arith_poly_norm :args (@t134)) % 9.73/9.91 (step @p215 :rule arith_poly_norm_rel :premises (@p214) :args (@t136)) % 9.73/9.91 (step @p216 :rule symm :premises (@p215)) % 9.73/9.91 (step @p217 :rule eq_resolve :premises (@p73 @p216)) % 9.73/9.91 (step @p388 :rule and_intro :premises (@p152 @p217)) % 9.73/9.92 (step @p389 :rule modus_ponens :premises (@p388 @p387)) % 9.73/9.92 (step @p390 :rule arith_mult_neg :args (-1 @t168)) % 9.73/9.92 (step @p391 :rule and_intro :premises (@p152 @p482)) % 9.73/9.92 (step @p392 :rule modus_ponens :premises (@p391 @p390)) % 9.73/9.92 (step @p393 :rule arith_sum_ub :premises (@p392 @p389 @p386 @p38)) % 9.73/9.92 (step @p394 false :rule eq_resolve :premises (@p393 @p383)) % 9.73/9.92 (step-pop @p483 :rule scope :premises (@p394)) % 9.73/9.92 (step @p395 :rule process_scope :premises (@p483) :args (false)) % 9.73/9.92 (step @p397 :rule eq_resolve :premises (@p395 @p370)) % 9.73/9.92 (step @p398 :rule eq_resolve :premises (@p397 @p369)) % 9.73/9.92 (step @p399 :rule arith_trichotomy :premises (@p480 @p481)) % 9.73/9.92 (step @p400 :rule int_tight_lb :premises (@p399)) % 9.73/9.92 (step @p401 false :rule contra :premises (@p400 @p398)) % 9.73/9.92 (step-pop @p484 :rule scope :premises (@p401)) % 9.73/9.92 (step-pop @p485 :rule scope :premises (@p484)) % 9.73/9.92 (step-pop @p486 :rule scope :premises (@p485)) % 9.73/9.92 (step-pop @p487 :rule scope :premises (@p486)) % 9.73/9.92 (step-pop @p488 :rule scope :premises (@p487)) % 9.73/9.92 (step @p402 :rule process_scope :premises (@p488) :args (false)) % 9.73/9.92 (assume-push @p489 @t56) % 9.73/9.92 (assume-push @p490 @t75) % 9.73/9.92 (assume-push @p491 @t89) % 9.73/9.92 (assume-push @p492 @t166) % 9.73/9.92 (assume-push @p493 @t121) % 9.73/9.92 (step @p413 :rule and_intro :premises (@p38 @p125 @p73 @p493 @p492)) % 9.73/9.92 (step-pop @p494 :rule scope :premises (@p413)) % 9.73/9.92 (step-pop @p495 :rule scope :premises (@p494)) % 9.73/9.92 (step-pop @p496 :rule scope :premises (@p495)) % 9.73/9.92 (step-pop @p497 :rule scope :premises (@p496)) % 9.73/9.92 (step-pop @p498 :rule scope :premises (@p497)) % 9.73/9.92 (step @p414 :rule process_scope :premises (@p498) :args (@t174)) % 9.73/9.92 (step @p420 :rule implies_elim :premises (@p414)) % 9.73/9.92 (step @p421 :rule resolution :premises (@p420 @p402) :args (true @t174)) % 9.73/9.92 (step @p422 :rule not_and :premises (@p421)) % 9.73/9.92 (step @p423 :rule eq_resolve :premises (@p422 @p363)) % 9.73/9.92 (step @p424 false :rule chain_m_resolution :premises (@p423 @p359 @p248 @p125 @p73 @p38) :args (false (@list true false false false false) (@list @t140 @t121 @t89 @t75 @t56))) % 9.73/9.92 ) % 9.73/9.92 % SZS output end Proof % 9.73/9.92 % cvc5 exiting %------------------------------------------------------------------------------