%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT046_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 : n021.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 08:14:24 AM UTC 2026 % Result : Theorem 0.52s 0.75s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT046_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n021.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 22:28:19 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 0.52/0.75 --- Run --finite-model-find --decision=internal at 45... % 0.52/0.75 % SZS status Theorem % 0.52/0.75 % SZS output start Proof % 0.52/0.75 ( % 0.52/0.75 (declare-sort tptp.collection 0) % 0.52/0.75 (declare-const tptp.count (-> tptp.collection Int)) % 0.52/0.75 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 0.52/0.75 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 0.52/0.75 (declare-const tptp.in (-> Int tptp.collection Bool)) % 0.52/0.75 (declare-const tptp.empty tptp.collection) % 0.52/0.75 (define @t1 () (@var "U" Int)) % 0.52/0.75 (define @t2 () (@var "W" tptp.collection)) % 0.52/0.75 (define @t3 () (@var "V" Int)) % 0.52/0.75 (define @t4 () (@var "Y" tptp.collection)) % 0.52/0.75 (define @t5 () (@var "X" Int)) % 0.52/0.75 (define @t6 () (@var "X1" tptp.collection)) % 0.52/0.75 (define @t7 () (@var "X2" Int)) % 0.52/0.75 (define @t8 () (@var "Z" Int)) % 0.52/0.75 (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 0.52/0.75 (define @t10 () (@var "X4" tptp.collection)) % 0.52/0.75 (define @t11 () (@var "X5" Int)) % 0.52/0.75 (define @t12 () (@var "X3" Int)) % 0.52/0.75 (define @t13 () (@var "X6" tptp.collection)) % 0.52/0.75 (define @t14 () (@var "X7" tptp.collection)) % 0.52/0.75 (define @t15 () (= (tptp.count @t14) 0)) % 0.52/0.75 (define @t16 () (= (= @t14 tptp.empty) @t15)) % 0.52/0.75 (define @t17 () (@list @t14)) % 0.52/0.75 (define @t18 () (forall @t17 @t16)) % 0.52/0.75 (define @t19 () (@var "X9" tptp.collection)) % 0.52/0.75 (define @t20 () (tptp.count @t19)) % 0.52/0.75 (define @t21 () (+ @t20 1)) % 0.52/0.75 (define @t22 () (@var "X8" Int)) % 0.52/0.75 (define @t23 () (tptp.count (tptp.add @t22 @t19))) % 0.52/0.75 (define @t24 () (= @t23 @t21)) % 0.52/0.75 (define @t25 () (not (tptp.in @t22 @t19))) % 0.52/0.75 (define @t26 () (= @t25 @t24)) % 0.52/0.75 (define @t27 () (@list @t22 @t19)) % 0.52/0.75 (define @t28 () (forall @t27 @t26)) % 0.52/0.75 (define @t29 () (@var "X11" tptp.collection)) % 0.52/0.75 (define @t30 () (@var "X10" Int)) % 0.52/0.75 (define @t31 () (@var "X13" tptp.collection)) % 0.52/0.75 (define @t32 () (@var "X12" Int)) % 0.52/0.75 (define @t33 () (@var "X15" tptp.collection)) % 0.52/0.75 (define @t34 () (@var "X14" Int)) % 0.52/0.75 (define @t35 () (forall (@list @t34 @t33) (= (not (tptp.in @t34 @t33)) (= (tptp.count (tptp.remove @t34 @t33)) (tptp.count @t33))))) % 0.52/0.75 (define @t36 () (@var "X17" tptp.collection)) % 0.52/0.75 (define @t37 () (@var "X16" Int)) % 0.52/0.75 (define @t38 () (tptp.add 3 tptp.empty)) % 0.52/0.75 (define @t39 () (tptp.add 1 @t38)) % 0.52/0.75 (define @t40 () (tptp.count @t39)) % 0.52/0.75 (define @t41 () (= @t40 2)) % 0.52/0.75 (define @t42 () (not @t41)) % 0.52/0.75 (define @t43 () (= tptp.empty @t14)) % 0.52/0.75 (define @t44 () (tptp.count tptp.empty)) % 0.52/0.75 (define @t45 () (= @t44 0)) % 0.52/0.75 (define @t46 () (= @t45 (= tptp.empty tptp.empty))) % 0.52/0.75 (define @t47 () (forall @t17 (= @t15 @t43))) % 0.52/0.75 (define @t48 () (@list false)) % 0.52/0.75 (define @t49 () (+ 1 @t20)) % 0.52/0.75 (define @t50 () (tptp.count @t38)) % 0.52/0.75 (define @t51 () (+ -1 @t50)) % 0.52/0.75 (define @t52 () (- @t44 @t51)) % 0.52/0.75 (define @t53 () (+ 1 @t44)) % 0.52/0.75 (define @t54 () (= @t44 @t51)) % 0.52/0.75 (define @t55 () (= @t50 @t53)) % 0.52/0.75 (define @t56 () (tptp.in 3 tptp.empty)) % 0.52/0.75 (define @t57 () (not @t56)) % 0.52/0.75 (define @t58 () (= @t57 @t55)) % 0.52/0.75 (define @t59 () (forall @t27 (= @t25 (= @t23 @t49)))) % 0.52/0.75 (define @t60 () (= @t57 @t54)) % 0.52/0.75 (define @t61 () (@list @t59)) % 0.52/0.75 (define @t62 () (not @t60)) % 0.52/0.75 (define @t63 () (@list true false)) % 0.52/0.75 (define @t64 () (tptp.remove 0 tptp.empty)) % 0.52/0.75 (define @t65 () (tptp.count @t64)) % 0.52/0.75 (define @t66 () (= @t44 @t65)) % 0.52/0.75 (define @t67 () (= @t65 @t44)) % 0.52/0.75 (define @t68 () (tptp.in 0 tptp.empty)) % 0.52/0.75 (define @t69 () (not @t68)) % 0.52/0.75 (define @t70 () (= @t69 @t67)) % 0.52/0.75 (define @t71 () (= @t69 @t66)) % 0.52/0.75 (define @t72 () (not @t71)) % 0.52/0.75 (define @t73 () (= tptp.empty @t64)) % 0.52/0.75 (define @t74 () (= @t65 0)) % 0.52/0.75 (define @t75 () (= @t74 @t73)) % 0.52/0.75 (define @t76 () (tptp.add 3 @t64)) % 0.52/0.75 (define @t77 () (tptp.count (tptp.add 1 @t76))) % 0.52/0.75 (define @t78 () (+ -1 @t77)) % 0.52/0.75 (define @t79 () (tptp.count @t76)) % 0.52/0.75 (define @t80 () (- @t79 @t78)) % 0.52/0.75 (define @t81 () (+ 1 @t79)) % 0.52/0.75 (define @t82 () (= @t79 @t78)) % 0.52/0.75 (define @t83 () (= @t77 @t81)) % 0.52/0.75 (define @t84 () (tptp.in 1 @t76)) % 0.52/0.75 (define @t85 () (not @t84)) % 0.52/0.75 (define @t86 () (= @t85 @t83)) % 0.52/0.75 (define @t87 () (= @t85 @t82)) % 0.52/0.75 (define @t88 () (tptp.in 1 @t38)) % 0.52/0.75 (define @t89 () (tptp.in 1 tptp.empty)) % 0.52/0.75 (define @t90 () (= 1 3)) % 0.52/0.75 (define @t91 () (or @t89 @t90)) % 0.52/0.75 (define @t92 () (= @t91 @t88)) % 0.52/0.75 (define @t93 () (= @t89 @t88)) % 0.52/0.75 (define @t94 () (not @t88)) % 0.52/0.75 (define @t95 () (not @t87)) % 0.52/0.75 (define @t96 () (* -1 @t50)) % 0.52/0.75 (define @t97 () (+ @t40 @t96)) % 0.52/0.75 (define @t98 () (>= @t97 1)) % 0.52/0.75 (define @t99 () (not @t82)) % 0.52/0.75 (define @t100 () (= @t50 @t79)) % 0.52/0.75 (define @t101 () (not @t100)) % 0.52/0.75 (define @t102 () (= @t40 @t77)) % 0.52/0.75 (define @t103 () (not @t102)) % 0.52/0.75 (define @t104 () (not @t98)) % 0.52/0.75 (define @t105 () (not true)) % 0.52/0.75 (define @t106 () (>= 0 0)) % 0.52/0.75 (define @t107 () (* -1 0)) % 0.52/0.75 (define @t108 () (+ 1 @t107 0 -1)) % 0.52/0.75 (define @t109 () (* -1 @t79)) % 0.52/0.75 (define @t110 () (* 0 @t40)) % 0.52/0.75 (define @t111 () (= @t110 0)) % 0.52/0.75 (define @t112 () (* 0 @t77)) % 0.52/0.75 (define @t113 () (= @t112 0)) % 0.52/0.75 (define @t114 () (+ @t112 @t109 @t79 @t96 @t50 @t110)) % 0.52/0.75 (define @t115 () (* -1 @t77)) % 0.52/0.75 (define @t116 () (+ @t79 @t115)) % 0.52/0.75 (define @t117 () (+ @t50 @t109)) % 0.52/0.75 (define @t118 () (+ @t40 @t115)) % 0.52/0.75 (define @t119 () (+ @t97 (* -1 @t118) @t117 @t116)) % 0.52/0.75 (define @t120 () (>= @t119 @t108)) % 0.52/0.75 (define @t121 () (= (* 1 (- @t116 -1)) (* 1 @t80))) % 0.52/0.75 (define @t122 () (= @t116 -1)) % 0.52/0.75 (define @t123 () (= @t122 @t82)) % 0.52/0.75 (define @t124 () (= (* 1 (- @t117 0)) (* 1 (- @t50 @t79)))) % 0.52/0.75 (define @t125 () (= @t117 0)) % 0.52/0.75 (define @t126 () (= @t125 @t100)) % 0.52/0.75 (define @t127 () (= @t118 0)) % 0.52/0.75 (define @t128 () (= (* 1 (- @t118 0)) (* 1 (- @t40 @t77)))) % 0.52/0.75 (define @t129 () (= @t127 @t102)) % 0.52/0.75 (define @t130 () (< -1 0)) % 0.52/0.75 (define @t131 () (+ @t44 @t96)) % 0.52/0.75 (define @t132 () (>= @t131 0)) % 0.52/0.75 (define @t133 () (<= 0 -1)) % 0.52/0.75 (define @t134 () (+ @t107 -1)) % 0.52/0.75 (define @t135 () (* 0 @t44)) % 0.52/0.75 (define @t136 () (= @t135 0)) % 0.52/0.75 (define @t137 () (* 0 @t50)) % 0.52/0.75 (define @t138 () (= @t137 0)) % 0.52/0.75 (define @t139 () (+ @t137 @t135)) % 0.52/0.75 (define @t140 () (* -1 @t131)) % 0.52/0.75 (define @t141 () (+ @t140 @t131)) % 0.52/0.75 (define @t142 () (= (* 1 (- @t131 -1)) (* 1 @t52))) % 0.52/0.75 (define @t143 () (= @t131 -1)) % 0.52/0.75 (define @t144 () (= @t143 @t54)) % 0.52/0.75 (define @t145 () (not @t132)) % 0.52/0.75 (define @t146 () (>= @t40 3)) % 0.52/0.75 (define @t147 () (not @t45)) % 0.52/0.75 (define @t148 () (not @t146)) % 0.52/0.75 (define @t149 () (+ 1 1)) % 0.52/0.75 (define @t150 () (>= @t40 @t149)) % 0.52/0.75 (define @t151 () (<= @t40 1)) % 0.52/0.75 (define @t152 () (* -1 1)) % 0.52/0.75 (define @t153 () (+ 1 0 @t152 @t107)) % 0.52/0.75 (define @t154 () (* -1 @t44)) % 0.52/0.75 (define @t155 () (+ @t137 @t154 @t44 @t110)) % 0.52/0.75 (define @t156 () (+ @t40 @t131 (* -1 @t97) @t154)) % 0.52/0.75 (define @t157 () (>= @t156 @t153)) % 0.52/0.75 (define @t158 () (and @t45 @t98 @t145 @t42 @t148)) % 0.52/0.75 (define @t159 () (* -1 -1)) % 0.52/0.75 (define @t160 () (* -1 3)) % 0.52/0.75 (define @t161 () (+ @t160 0 @t159 @t107 0 @t159)) % 0.52/0.75 (define @t162 () (* -1 @t40)) % 0.52/0.75 (define @t163 () (+ @t112 @t79 @t109 @t162 @t50 @t96 @t135 @t40)) % 0.52/0.75 (define @t164 () (+ @t162 @t44 @t140 (* -1 @t117) @t118 (* -1 @t116))) % 0.52/0.75 (define @t165 () (and @t82 @t102 @t100 @t54 @t45 @t146)) % 0.52/0.75 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 0.52/0.75 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 0.52/0.75 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 0.52/0.75 (assume @p4 @t9) % 0.52/0.75 (assume @p5 (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10))))) % 0.52/0.75 (assume @p6 (forall (@list @t13) (>= (tptp.count @t13) 0))) % 0.52/0.75 (assume @p7 @t18) % 0.52/0.75 (assume @p8 @t28) % 0.52/0.75 (assume @p9 (forall (@list @t30 @t29) (= (tptp.in @t30 @t29) (= (tptp.count (tptp.add @t30 @t29)) (tptp.count @t29))))) % 0.52/0.75 (assume @p10 (forall (@list @t32 @t31) (= (tptp.in @t32 @t31) (= (tptp.count (tptp.remove @t32 @t31)) (- (tptp.count @t31) 1))))) % 0.52/0.75 (assume @p11 @t35) % 0.52/0.75 (assume @p12 (forall (@list @t37 @t36) (=> (tptp.in @t37 @t36) (= @t36 (tptp.add @t37 (tptp.remove @t37 @t36)))))) % 0.52/0.75 (assume @p13 @t42) % 0.52/0.75 (assume @p14 true) % 0.52/0.75 (step @p15 :rule eq-symm :args (@t43 @t15)) % 0.52/0.75 (step @p16 :rule refl :args (@t15)) % 0.52/0.75 (step @p17 :rule eq-symm :args (@t14 tptp.empty)) % 0.52/0.75 (step @p18 :rule cong :premises (@p17 @p16) :args (@t16)) % 0.52/0.75 (step @p19 :rule trans :premises (@p18 @p15)) % 0.52/0.75 (step @p20 :rule cong :premises (@p19) :args (@t18)) % 0.52/0.75 (step @p21 :rule eq_resolve :premises (@p7 @p20)) % 0.52/0.75 (step @p22 :rule bool-eq-true :args (@t45)) % 0.52/0.75 (step @p23 :rule eq-refl :args (tptp.empty)) % 0.52/0.75 (step @p24 :rule refl :args (@t45)) % 0.52/0.75 (step @p25 :rule cong :premises (@p24 @p23) :args (@t46)) % 0.52/0.75 (step @p26 :rule trans :premises (@p25 @p22)) % 0.52/0.75 (step @p27 :rule refl :args (@t47)) % 0.52/0.75 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t47 @t46))) % 0.52/0.75 (assume-push @p404 @t47) % 0.52/0.75 (step @p30 :rule instantiate :premises (@p21) :args ((@list tptp.empty))) % 0.52/0.75 (step-pop @p405 :rule scope :premises (@p30)) % 0.52/0.75 (step @p31 :rule process_scope :premises (@p405) :args (@t46)) % 0.52/0.75 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.52/0.75 (step @p34 :rule implies_elim :premises (@p33)) % 0.52/0.75 (step @p35 :rule chain_m_resolution :premises (@p34 @p21) :args (@t45 @t48 (@list @t47))) % 0.52/0.75 (step @p36 :rule arith_poly_norm :args ((= @t21 @t49))) % 0.52/0.75 (step @p37 :rule refl :args (@t23)) % 0.52/0.75 (step @p38 :rule cong :premises (@p37 @p36) :args (@t24)) % 0.52/0.75 (step @p39 :rule refl :args (@t25)) % 0.52/0.75 (step @p40 :rule cong :premises (@p39 @p38) :args (@t26)) % 0.52/0.75 (step @p41 :rule cong :premises (@p40) :args (@t28)) % 0.52/0.75 (step @p42 :rule eq_resolve :premises (@p8 @p41)) % 0.52/0.75 (step @p43 :rule arith_poly_norm :args ((= (* 1 (- @t50 @t53)) (* -1 @t52)))) % 0.52/0.75 (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= @t55 @t54))) % 0.52/0.75 (step @p45 :rule refl :args (@t57)) % 0.52/0.75 (step @p46 :rule cong :premises (@p45 @p44) :args (@t58)) % 0.52/0.75 (step @p47 :rule refl :args (@t59)) % 0.52/0.75 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t59 @t58))) % 0.52/0.75 (assume-push @p406 @t59) % 0.52/0.75 (step @p50 :rule instantiate :premises (@p42) :args ((@list 3 tptp.empty))) % 0.52/0.75 (step-pop @p407 :rule scope :premises (@p50)) % 0.52/0.75 (step @p51 :rule process_scope :premises (@p407) :args (@t58)) % 0.52/0.75 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 0.52/0.75 (step @p54 :rule implies_elim :premises (@p53)) % 0.52/0.75 (step @p55 :rule chain_m_resolution :premises (@p54 @p42) :args (@t60 @t48 @t61)) % 0.52/0.75 (step @p56 :rule instantiate :premises (@p1) :args ((@list 3))) % 0.52/0.75 (step @p57 :rule refl :args (@t54)) % 0.52/0.75 (step @p58 :rule bool-double-not-elim :args (@t56)) % 0.52/0.75 (step @p59 :rule refl :args (@t62)) % 0.52/0.75 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args ((or @t62 (not @t57) @t54))) % 0.52/0.75 (step @p61 :rule cnf_equiv_pos1 :args (@t60)) % 0.52/0.75 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.52/0.75 (step @p63 :rule reordering :premises (@p62) :args ((or @t56 @t54 @t62))) % 0.52/0.75 (step @p64 :rule chain_m_resolution :premises (@p63 @p56 @p55) :args (@t54 @t63 (@list @t56 @t60))) % 0.52/0.75 (step @p65 :rule instantiate :premises (@p21) :args ((@list @t64))) % 0.52/0.75 (step @p66 :rule arith_poly_norm :args ((= (* 1 (- @t65 @t44)) (* -1 (- @t44 @t65))))) % 0.52/0.75 (step @p67 :rule arith_poly_norm_rel :premises (@p66) :args ((= @t67 @t66))) % 0.52/0.75 (step @p68 :rule refl :args (@t69)) % 0.52/0.75 (step @p69 :rule cong :premises (@p68 @p67) :args (@t70)) % 0.52/0.75 (step @p70 :rule refl :args (@t35)) % 0.52/0.75 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t35 @t70))) % 0.52/0.75 (assume-push @p408 @t35) % 0.52/0.75 (step @p73 :rule 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:rule implies_elim :premises (@p330)) % 0.52/0.76 (step @p337 :rule resolution :premises (@p336 @p318) :args (true @t158)) % 0.52/0.76 (step @p338 :rule not_and :premises (@p337)) % 0.52/0.76 (step @p339 :rule eq_resolve :premises (@p338 @p257)) % 0.52/0.76 (step @p340 :rule chain_m_resolution :premises (@p339 @p13 @p35 @p251 @p213) :args (@t146 (@list true false true false) (@list @t41 @t45 @t132 @t98))) % 0.52/0.76 (assume-push @p450 @t82) % 0.52/0.76 (assume-push @p451 @t102) % 0.52/0.76 (assume-push @p452 @t100) % 0.52/0.76 (assume-push @p453 @t54) % 0.52/0.76 (assume-push @p454 @t45) % 0.52/0.76 (assume-push @p455 @t146) % 0.52/0.76 (step @p311 :rule arith-elim-lt :args (@t40 3)) % 0.52/0.76 (step @p312 :rule symm :premises (@p311)) % 0.52/0.76 (assume-push @p456 @t146) % 0.52/0.76 (step @p219 :rule evaluate :args (@t133)) % 0.52/0.76 (step @p348 :rule evaluate :args ((+ -3 0 1 0 0 1))) % 0.52/0.76 (step @p349 :rule evaluate :args (@t159)) % 0.52/0.76 (step @p162 :rule refl :args (0)) % 0.52/0.76 (step @p163 :rule evaluate :args (@t107)) % 0.52/0.76 (step @p350 :rule evaluate :args (@t160)) % 0.52/0.76 (step @p351 :rule nary_cong :premises (@p350 @p162 @p349 @p163 @p162 @p349) :args (@t161)) % 0.52/0.76 (step @p352 :rule trans :premises (@p351 @p348)) % 0.52/0.76 (step @p353 :rule arith_poly_norm :args ((= (+ 0 @t79 @t109 @t162 @t50 @t96 0 @t40) 0))) % 0.52/0.76 (step @p354 :rule refl :args (@t40)) % 0.52/0.76 (step @p224 :rule arith_poly_norm :args (@t136)) % 0.52/0.76 (step @p169 :rule refl :args (@t96)) % 0.52/0.76 (step @p168 :rule refl :args (@t50)) % 0.52/0.76 (step @p355 :rule refl :args (@t162)) % 0.52/0.76 (step @p171 :rule refl :args (@t109)) % 0.52/0.76 (step @p170 :rule refl :args (@t79)) % 0.52/0.76 (step @p172 :rule arith_poly_norm :args (@t113)) % 0.52/0.76 (step @p356 :rule nary_cong :premises (@p172 @p170 @p171 @p355 @p168 @p169 @p224 @p354) :args (@t163)) % 0.52/0.76 (step @p357 :rule trans :premises (@p356 @p353)) % 0.52/0.76 (step @p358 :rule arith_poly_norm :args ((= @t164 @t163))) % 0.52/0.76 (step @p359 :rule trans :premises (@p358 @p357)) % 0.52/0.76 (step @p360 :rule cong :premises (@p359 @p352) :args ((<= @t164 @t161))) % 0.52/0.76 (step @p361 :rule trans :premises (@p360 @p219)) % 0.52/0.76 (step @p362 :rule arith_mult_neg :args (-1 @t122)) % 0.52/0.76 (step @p183 :rule arith_poly_norm :args (@t121)) % 0.52/0.76 (step @p184 :rule arith_poly_norm_rel :premises (@p183) :args (@t123)) % 0.52/0.76 (step @p185 :rule symm :premises (@p184)) % 0.52/0.76 (step @p186 :rule eq_resolve :premises (@p144 @p185)) % 0.52/0.76 (step @p196 :rule evaluate :args (@t130)) % 0.52/0.76 (step @p197 :rule true_elim :premises (@p196)) % 0.52/0.76 (step @p363 :rule and_intro :premises (@p197 @p186)) % 0.52/0.76 (step @p364 :rule modus_ponens :premises (@p363 @p362)) % 0.52/0.76 (step @p192 :rule arith_poly_norm :args (@t128)) % 0.52/0.76 (step @p193 :rule arith_poly_norm_rel :premises (@p192) :args (@t129)) % 0.52/0.76 (step @p194 :rule symm :premises (@p193)) % 0.52/0.76 (step @p195 :rule eq_resolve :premises (@p147 @p194)) % 0.52/0.76 (step @p365 :rule arith_mult_neg :args (-1 @t125)) % 0.52/0.76 (step @p187 :rule arith_poly_norm :args (@t124)) % 0.52/0.76 (step @p188 :rule arith_poly_norm_rel :premises (@p187) :args (@t126)) % 0.52/0.76 (step @p189 :rule symm :premises (@p188)) % 0.52/0.76 (step @p190 :rule eq_resolve :premises (@p148 @p189)) % 0.52/0.76 (step @p366 :rule and_intro :premises (@p197 @p190)) % 0.52/0.76 (step @p367 :rule modus_ponens :premises (@p366 @p365)) % 0.52/0.76 (step @p368 :rule arith_mult_neg :args (-1 @t143)) % 0.52/0.76 (step @p232 :rule arith_poly_norm :args (@t142)) % 0.52/0.76 (step @p233 :rule arith_poly_norm_rel :premises (@p232) :args (@t144)) % 0.52/0.76 (step @p234 :rule symm :premises (@p233)) % 0.52/0.76 (step @p235 :rule eq_resolve :premises (@p64 @p234)) % 0.52/0.76 (step @p369 :rule and_intro :premises (@p197 @p235)) % 0.52/0.76 (step @p370 :rule modus_ponens :premises (@p369 @p368)) % 0.52/0.76 (step @p371 :rule arith_mult_neg :args (-1 @t146)) % 0.52/0.76 (step @p372 :rule and_intro :premises (@p197 @p455)) % 0.52/0.76 (step @p373 :rule modus_ponens :premises (@p372 @p371)) % 0.52/0.76 (step @p374 :rule arith_sum_ub :premises (@p373 @p35 @p370 @p367 @p195 @p364)) % 0.52/0.76 (step @p375 false :rule eq_resolve :premises (@p374 @p361)) % 0.52/0.76 (step-pop @p457 :rule scope :premises (@p375)) % 0.52/0.76 (step @p376 :rule process_scope :premises (@p457) :args (false)) % 0.52/0.76 (step @p378 :rule eq_resolve :premises (@p376 @p312)) % 0.52/0.76 (step @p379 :rule eq_resolve :premises (@p378 @p311)) % 0.52/0.76 (step @p380 false :rule contra :premises (@p455 @p379)) % 0.52/0.76 (step-pop @p458 :rule scope :premises (@p380)) % 0.52/0.76 (step-pop @p459 :rule scope :premises (@p458)) % 0.52/0.76 (step-pop @p460 :rule scope :premises (@p459)) % 0.52/0.76 (step-pop @p461 :rule scope :premises (@p460)) % 0.52/0.76 (step-pop @p462 :rule scope :premises (@p461)) % 0.52/0.76 (step-pop @p463 :rule scope :premises (@p462)) % 0.52/0.76 (step @p381 :rule process_scope :premises (@p463) :args (false)) % 0.52/0.76 (assume-push @p464 @t45) % 0.52/0.76 (assume-push @p465 @t73) % 0.52/0.76 (assume-push @p466 @t54) % 0.52/0.76 (assume-push @p467 @t146) % 0.52/0.76 (assume-push @p468 @t82) % 0.52/0.76 (step @p393 :rule and_intro :premises (@p144 @p147 @p148 @p64 @p35 @p467)) % 0.52/0.76 (step-pop @p469 :rule scope :premises (@p393)) % 0.52/0.76 (step-pop @p470 :rule scope :premises (@p469)) % 0.52/0.76 (step-pop @p471 :rule scope :premises (@p470)) % 0.52/0.76 (step-pop @p472 :rule scope :premises (@p471)) % 0.52/0.76 (step-pop @p473 :rule scope :premises (@p472)) % 0.52/0.76 (step @p394 :rule process_scope :premises (@p473) :args (@t165)) % 0.52/0.76 (step @p400 :rule implies_elim :premises (@p394)) % 0.52/0.76 (step @p401 :rule resolution :premises (@p400 @p381) :args (true @t165)) % 0.52/0.76 (step @p402 :rule not_and :premises (@p401)) % 0.52/0.76 (step @p403 false :rule chain_m_resolution :premises (@p402 @p340 @p144 @p92 @p64 @p35) :args (false (@list false false false false false) (@list @t146 @t82 @t73 @t54 @t45))) % 0.52/0.76 ) % 0.52/0.76 % SZS output end Proof % 0.52/0.76 % cvc5 exiting %------------------------------------------------------------------------------