%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI661_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:08:04 AM UTC 2026 % Result : Theorem 0.46s 0.68s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI661_1 : TPTP v9.2.1. Released v6.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.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 : Wed Jun 3 02:32:24 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_ARI % 0.46/0.68 --- Run --finite-model-find --decision=internal at 45... % 0.46/0.68 % SZS status Theorem % 0.46/0.68 % SZS output start Proof % 0.46/0.68 ( % 0.46/0.68 (declare-const tptp.a Int) % 0.46/0.68 (define @t1 () (* tptp.a tptp.a)) % 0.46/0.68 (define @t2 () (* @t1 tptp.a)) % 0.46/0.68 (define @t3 () (* @t2 tptp.a)) % 0.46/0.68 (define @t4 () (* @t3 tptp.a)) % 0.46/0.68 (define @t5 () (<= 40 @t4)) % 0.46/0.68 (define @t6 () (= @t5 (<= 3 tptp.a))) % 0.46/0.68 (define @t7 () (not @t6)) % 0.46/0.68 (define @t8 () (* tptp.a tptp.a tptp.a tptp.a tptp.a)) % 0.46/0.68 (define @t9 () (* tptp.a tptp.a tptp.a tptp.a)) % 0.46/0.68 (define @t10 () (* tptp.a tptp.a tptp.a)) % 0.46/0.68 (define @t11 () (* tptp.a tptp.a)) % 0.46/0.68 (define @t12 () (>= tptp.a 1)) % 0.46/0.68 (define @t13 () (>= tptp.a 3)) % 0.46/0.68 (define @t14 () (not @t13)) % 0.46/0.68 (define @t15 () (not @t12)) % 0.46/0.68 (define @t16 () (not @t15)) % 0.46/0.68 (define @t17 () (+ 0 1)) % 0.46/0.68 (define @t18 () (>= tptp.a @t17)) % 0.46/0.68 (define @t19 () (not @t18)) % 0.46/0.68 (define @t20 () (<= tptp.a 0)) % 0.46/0.68 (define @t21 () (not @t20)) % 0.46/0.68 (define @t22 () (not (>= 0 tptp.a))) % 0.46/0.68 (define @t23 () (> tptp.a 0)) % 0.46/0.68 (define @t24 () (<= 0 -3)) % 0.46/0.68 (define @t25 () (+ 0 -3)) % 0.46/0.68 (define @t26 () (* -1 3)) % 0.46/0.68 (define @t27 () (+ 0 @t26)) % 0.46/0.68 (define @t28 () (* -1 tptp.a)) % 0.46/0.68 (define @t29 () (+ tptp.a @t28)) % 0.46/0.68 (define @t30 () (= @t29 0)) % 0.46/0.68 (define @t31 () (<= @t29 @t27)) % 0.46/0.68 (define @t32 () (< -1 0)) % 0.46/0.68 (define @t33 () (and @t15 @t13)) % 0.46/0.68 (define @t34 () (>= tptp.a 0)) % 0.46/0.68 (define @t35 () (not @t34)) % 0.46/0.68 (define @t36 () (not @t35)) % 0.46/0.68 (define @t37 () (+ -1 1)) % 0.46/0.68 (define @t38 () (>= tptp.a @t37)) % 0.46/0.68 (define @t39 () (not @t38)) % 0.46/0.68 (define @t40 () (<= tptp.a -1)) % 0.46/0.68 (define @t41 () (+ -1 @t26)) % 0.46/0.68 (define @t42 () (and @t35 @t13)) % 0.46/0.68 (define @t43 () (>= tptp.a 2)) % 0.46/0.68 (define @t44 () (not @t43)) % 0.46/0.68 (define @t45 () (not @t44)) % 0.46/0.68 (define @t46 () (+ 1 1)) % 0.46/0.68 (define @t47 () (>= tptp.a @t46)) % 0.46/0.68 (define @t48 () (not @t47)) % 0.46/0.68 (define @t49 () (<= tptp.a 1)) % 0.46/0.68 (define @t50 () (not @t49)) % 0.46/0.68 (define @t51 () (not (>= 1 tptp.a))) % 0.46/0.68 (define @t52 () (> tptp.a 1)) % 0.46/0.68 (define @t53 () (<= 0 -2)) % 0.46/0.68 (define @t54 () (+ 1 @t26)) % 0.46/0.68 (define @t55 () (and @t44 @t13)) % 0.46/0.68 (define @t56 () (>= tptp.a -1)) % 0.46/0.68 (define @t57 () (not @t56)) % 0.46/0.68 (define @t58 () (ite @t34 @t43 @t57)) % 0.46/0.68 (define @t59 () (= tptp.a 0)) % 0.46/0.68 (define @t60 () (and @t59 @t13)) % 0.46/0.68 (define @t61 () (not @t58)) % 0.46/0.68 (define @t62 () (not @t59)) % 0.46/0.68 (define @t63 () (and @t58 @t62)) % 0.46/0.68 (define @t64 () (not @t62)) % 0.46/0.68 (define @t65 () (>= @t9 1)) % 0.46/0.68 (define @t66 () (>= @t9 @t17)) % 0.46/0.68 (define @t67 () (and @t65 @t13)) % 0.46/0.68 (define @t68 () (* 3 @t9)) % 0.46/0.68 (define @t69 () (* -1 @t8)) % 0.46/0.68 (define @t70 () (+ @t68 @t69)) % 0.46/0.68 (define @t71 () (+ @t70 1)) % 0.46/0.68 (define @t72 () (* -1 -3)) % 0.46/0.68 (define @t73 () (* tptp.a tptp.a tptp.a tptp.a)) % 0.46/0.68 (define @t74 () (* @t73 @t72)) % 0.46/0.68 (define @t75 () (* @t73 tptp.a)) % 0.46/0.68 (define @t76 () (>= @t75 @t74)) % 0.46/0.68 (define @t77 () (<= @t73 0)) % 0.46/0.68 (define @t78 () (> @t73 0)) % 0.46/0.68 (define @t79 () (and @t78 @t13)) % 0.46/0.68 (define @t80 () (>= tptp.a @t72)) % 0.46/0.68 (define @t81 () (and @t78 @t80)) % 0.46/0.68 (define @t82 () (>= @t70 1)) % 0.46/0.68 (define @t83 () (not @t82)) % 0.46/0.68 (define @t84 () (>= @t10 1)) % 0.46/0.68 (define @t85 () (>= @t10 @t17)) % 0.46/0.68 (define @t86 () (and @t84 @t13)) % 0.46/0.68 (define @t87 () (* 3 @t10)) % 0.46/0.68 (define @t88 () (+ @t87 (* -1 @t9))) % 0.46/0.68 (define @t89 () (+ @t88 1)) % 0.46/0.68 (define @t90 () (* tptp.a tptp.a tptp.a)) % 0.46/0.68 (define @t91 () (* @t90 @t72)) % 0.46/0.68 (define @t92 () (* @t90 tptp.a)) % 0.46/0.68 (define @t93 () (>= @t92 @t91)) % 0.46/0.68 (define @t94 () (<= @t90 0)) % 0.46/0.68 (define @t95 () (> @t90 0)) % 0.46/0.68 (define @t96 () (and @t95 @t13)) % 0.46/0.68 (define @t97 () (and @t95 @t80)) % 0.46/0.68 (define @t98 () (>= @t88 1)) % 0.46/0.68 (define @t99 () (not @t98)) % 0.46/0.68 (define @t100 () (>= @t11 1)) % 0.46/0.68 (define @t101 () (>= @t11 @t17)) % 0.46/0.68 (define @t102 () (and @t100 @t13)) % 0.46/0.68 (define @t103 () (not @t100)) % 0.46/0.68 (define @t104 () (* 3 @t11)) % 0.46/0.68 (define @t105 () (+ @t104 (* -1 @t10))) % 0.46/0.68 (define @t106 () (+ @t105 1)) % 0.46/0.68 (define @t107 () (* @t1 @t72)) % 0.46/0.68 (define @t108 () (>= @t2 @t107)) % 0.46/0.68 (define @t109 () (<= @t1 0)) % 0.46/0.68 (define @t110 () (> @t1 0)) % 0.46/0.68 (define @t111 () (and @t110 @t13)) % 0.46/0.68 (define @t112 () (and @t110 @t80)) % 0.46/0.68 (define @t113 () (>= @t105 1)) % 0.46/0.68 (define @t114 () (not @t113)) % 0.46/0.68 (define @t115 () (>= @t11 -1)) % 0.46/0.68 (define @t116 () (not @t115)) % 0.46/0.68 (define @t117 () (* -1 @t11)) % 0.46/0.68 (define @t118 () (- 1)) % 0.46/0.68 (define @t119 () (- @t11)) % 0.46/0.68 (define @t120 () (<= @t119 @t118)) % 0.46/0.68 (define @t121 () (<= @t119 1)) % 0.46/0.68 (define @t122 () (>= 1 0)) % 0.46/0.68 (define @t123 () (ite @t122 (> @t119 1) (> @t119 @t118))) % 0.46/0.68 (define @t124 () (>= @t11 2)) % 0.46/0.68 (define @t125 () (>= @t11 0)) % 0.46/0.68 (define @t126 () (>= @t11 @t37)) % 0.46/0.68 (define @t127 () (<= @t11 @t118)) % 0.46/0.68 (define @t128 () (>= @t11 @t46)) % 0.46/0.68 (define @t129 () (ite @t122 (> @t11 1) (> @t11 @t118))) % 0.46/0.68 (define @t130 () (ite @t125 @t129 @t123)) % 0.46/0.68 (define @t131 () (- tptp.a)) % 0.46/0.68 (define @t132 () (<= @t131 @t118)) % 0.46/0.68 (define @t133 () (<= @t131 1)) % 0.46/0.68 (define @t134 () (ite @t122 (> @t131 1) (> @t131 @t118))) % 0.46/0.68 (define @t135 () (<= tptp.a @t118)) % 0.46/0.68 (define @t136 () (ite @t122 @t52 (> tptp.a @t118))) % 0.46/0.68 (define @t137 () (ite @t34 @t136 @t134)) % 0.46/0.68 (define @t138 () (and @t137 @t62)) % 0.46/0.68 (define @t139 () (abs @t11)) % 0.46/0.68 (define @t140 () (>= @t139 @t46)) % 0.46/0.68 (define @t141 () (abs 1)) % 0.46/0.68 (define @t142 () (<= @t139 @t141)) % 0.46/0.68 (define @t143 () (* 1 1)) % 0.46/0.68 (define @t144 () (abs @t143)) % 0.46/0.68 (define @t145 () (<= @t139 @t144)) % 0.46/0.68 (define @t146 () (not @t125)) % 0.46/0.68 (define @t147 () (<= @t11 -1)) % 0.46/0.68 (define @t148 () (* -1 1)) % 0.46/0.68 (define @t149 () (+ -1 @t148)) % 0.46/0.68 (define @t150 () (+ @t11 @t117)) % 0.46/0.68 (define @t151 () (and @t146 @t100)) % 0.46/0.68 (define @t152 () (ite @t125 @t124 @t116)) % 0.46/0.68 (define @t153 () (not @t124)) % 0.46/0.68 (define @t154 () (>= @t8 40)) % 0.46/0.68 (define @t155 () (not @t154)) % 0.46/0.68 (define @t156 () (< @t8 40)) % 0.46/0.68 (define @t157 () (not true)) % 0.46/0.68 (define @t158 () (* -27 2)) % 0.46/0.68 (define @t159 () (* 3 1)) % 0.46/0.68 (define @t160 () (* 9 1)) % 0.46/0.68 (define @t161 () (+ 40 @t160 @t159 1 @t158)) % 0.46/0.68 (define @t162 () (* -27 @t11)) % 0.46/0.68 (define @t163 () (+ @t162 (* 27 @t11) (* 9 @t10) (* -9 @t10) @t68 (* -3 @t9) @t69 @t8)) % 0.46/0.68 (define @t164 () (+ @t8 (* 9 @t105) (* 3 @t88) @t70 @t162)) % 0.46/0.68 (define @t165 () (>= @t164 @t161)) % 0.46/0.68 (define @t166 () (and @t124 @t83 @t99 @t114 @t155)) % 0.46/0.68 (define @t167 () (>= @t8 0)) % 0.46/0.68 (define @t168 () (< @t8 0)) % 0.46/0.68 (define @t169 () (+ 0 -40)) % 0.46/0.68 (define @t170 () (* -1 40)) % 0.46/0.68 (define @t171 () (+ 0 @t170)) % 0.46/0.68 (define @t172 () (+ @t8 @t69)) % 0.46/0.68 (define @t173 () (= @t172 0)) % 0.46/0.68 (define @t174 () (>= @t172 @t171)) % 0.46/0.68 (define @t175 () (@list false)) % 0.46/0.68 (define @t176 () (@list @t154)) % 0.46/0.68 (define @t177 () (not @t167)) % 0.46/0.68 (define @t178 () (< tptp.a 0)) % 0.46/0.68 (define @t179 () (= @t8 1)) % 0.46/0.68 (define @t180 () (+ 1 @t170)) % 0.46/0.68 (define @t181 () (and @t179 @t154)) % 0.46/0.68 (define @t182 () (= tptp.a 1)) % 0.46/0.68 (define @t183 () (* 1 1 1 1 1)) % 0.46/0.68 (define @t184 () (not @t182)) % 0.46/0.68 (define @t185 () (@list true)) % 0.46/0.68 (define @t186 () (= @t8 32)) % 0.46/0.68 (define @t187 () (+ 32 @t170)) % 0.46/0.68 (define @t188 () (and @t186 @t154)) % 0.46/0.68 (define @t189 () (= tptp.a 2)) % 0.46/0.68 (define @t190 () (* 2 2 2 2 2)) % 0.46/0.68 (define @t191 () (not @t189)) % 0.46/0.68 (define @t192 () (and @t191 @t14 @t43)) % 0.46/0.68 (define @t193 () (@list true true)) % 0.46/0.68 (define @t194 () (and @t184 @t44 @t12)) % 0.46/0.68 (define @t195 () (and @t15 @t34)) % 0.46/0.68 (define @t196 () (* 0 0 0 0 0)) % 0.46/0.68 (define @t197 () (= @t8 0)) % 0.46/0.68 (define @t198 () (and @t197 @t154)) % 0.46/0.68 (assume @p1 @t7) % 0.46/0.68 (assume @p2 true) % 0.46/0.68 (step @p3 :rule arith-elim-leq :args (3 tptp.a)) % 0.46/0.68 (step @p4 :rule arith-elim-leq :args (40 @t8)) % 0.46/0.68 (step @p5 :rule arith_poly_norm :args ((= (* @t9 tptp.a) @t8))) % 0.46/0.68 (step @p6 :rule refl :args (tptp.a)) % 0.46/0.68 (step @p7 :rule arith_poly_norm :args ((= (* @t10 tptp.a) @t9))) % 0.46/0.68 (step @p8 :rule arith_poly_norm :args ((= (* @t11 tptp.a) @t10))) % 0.46/0.68 (step @p9 :rule arith_poly_norm :args ((= @t1 @t11))) % 0.46/0.68 (step @p10 :rule nary_cong :premises (@p9 @p6) :args (@t2)) % 0.46/0.68 (step @p11 :rule trans :premises (@p10 @p8)) % 0.46/0.68 (step @p12 :rule nary_cong :premises (@p11 @p6) :args (@t3)) % 0.46/0.68 (step @p13 :rule trans :premises (@p12 @p7)) % 0.46/0.68 (step @p14 :rule nary_cong :premises (@p13 @p6) :args (@t4)) % 0.46/0.68 (step @p15 :rule trans :premises (@p14 @p5)) % 0.46/0.68 (step @p16 :rule refl :args (40)) % 0.46/0.68 (step @p17 :rule cong :premises (@p16 @p15) :args (@t5)) % 0.46/0.68 (step @p18 :rule trans :premises (@p17 @p4)) % 0.46/0.68 (step @p19 :rule cong :premises (@p18 @p3) :args (@t6)) % 0.46/0.68 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 0.46/0.68 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 0.46/0.68 (step @p22 :rule not_equiv_elim1 :premises (@p21)) % 0.46/0.68 (step @p23 :rule bool-double-not-elim :args (@t12)) % 0.46/0.68 (step @p24 :rule refl :args (@t14)) % 0.46/0.68 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t14 @t16))) % 0.46/0.68 (assume-push @p952 @t15) % 0.46/0.68 (assume-push @p953 @t13) % 0.46/0.68 (step @p28 :rule evaluate :args (@t17)) % 0.46/0.68 (step @p29 :rule refl :args (tptp.a)) % 0.46/0.68 (step @p30 :rule cong :premises (@p29 @p28) :args (@t18)) % 0.46/0.68 (step @p31 :rule cong :premises (@p30) :args (@t19)) % 0.46/0.68 (step @p32 :rule arith-leq-norm :args (tptp.a 0)) % 0.46/0.68 (step @p33 :rule trans :premises (@p32 @p31)) % 0.46/0.68 (step @p34 :rule cong :premises (@p33) :args (@t21)) % 0.46/0.68 (step @p35 :rule trans :premises (@p34 @p23)) % 0.46/0.68 (step @p36 :rule arith-elim-leq :args (tptp.a 0)) % 0.46/0.68 (step @p37 :rule symm :premises (@p36)) % 0.46/0.68 (step @p38 :rule cong :premises (@p37) :args (@t22)) % 0.46/0.68 (step @p39 :rule arith-elim-gt :args (tptp.a 0)) % 0.46/0.68 (step @p40 :rule trans :premises (@p39 @p38)) % 0.46/0.68 (step @p41 :rule trans :premises (@p40 @p35)) % 0.46/0.68 (step @p42 :rule cong :premises (@p41) :args ((not @t23))) % 0.46/0.68 (step @p43 :rule symm :premises (@p42)) % 0.46/0.68 (step @p44 :rule trans :premises (@p33 @p43)) % 0.46/0.68 (step @p45 :rule arith-elim-lt :args (tptp.a 1)) % 0.46/0.68 (step @p46 :rule symm :premises (@p45)) % 0.46/0.68 (step @p47 :rule eq_resolve :premises (@p952 @p46)) % 0.46/0.68 (step @p48 :rule int_tight_ub :premises (@p47)) % 0.46/0.68 (step @p49 :rule eq_resolve :premises (@p48 @p44)) % 0.46/0.68 (step @p50 :rule symm :premises (@p41)) % 0.46/0.68 (step @p51 :rule trans :premises (@p35 @p50)) % 0.46/0.68 (assume-push @p954 @t20) % 0.46/0.68 (step @p53 :rule evaluate :args (@t24)) % 0.46/0.68 (step @p54 :rule evaluate :args (@t25)) % 0.46/0.68 (step @p55 :rule evaluate :args (@t26)) % 0.46/0.68 (step @p56 :rule refl :args (0)) % 0.46/0.68 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t27)) % 0.46/0.68 (step @p58 :rule trans :premises (@p57 @p54)) % 0.46/0.68 (step @p59 :rule arith_poly_norm :args (@t30)) % 0.46/0.68 (step @p60 :rule cong :premises (@p59 @p58) :args (@t31)) % 0.46/0.68 (step @p61 :rule trans :premises (@p60 @p53)) % 0.46/0.68 (step @p62 :rule arith_mult_neg :args (-1 @t13)) % 0.46/0.68 (step @p63 :rule evaluate :args (@t32)) % 0.46/0.68 (step @p64 :rule true_elim :premises (@p63)) % 0.46/0.68 (step @p65 :rule and_intro :premises (@p64 @p953)) % 0.46/0.68 (step @p66 :rule modus_ponens :premises (@p65 @p62)) % 0.46/0.68 (step @p67 :rule arith_sum_ub :premises (@p954 @p66)) % 0.46/0.68 (step @p68 false :rule eq_resolve :premises (@p67 @p61)) % 0.46/0.68 (step-pop @p955 :rule scope :premises (@p68)) % 0.46/0.68 (step @p69 :rule process_scope :premises (@p955) :args (false)) % 0.46/0.68 (step @p71 :rule eq_resolve :premises (@p69 @p51)) % 0.46/0.68 (step @p72 false :rule contra :premises (@p71 @p49)) % 0.46/0.68 (step-pop @p956 :rule scope :premises (@p72)) % 0.46/0.68 (step-pop @p957 :rule scope :premises (@p956)) % 0.46/0.68 (step @p73 :rule 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@p1047 @t154) % 0.46/0.68 (assume-push @p1048 @t186) % 0.46/0.68 (step @p789 :rule evaluate :args ((<= 0 -8))) % 0.46/0.68 (step @p790 :rule evaluate :args ((+ 32 -40))) % 0.46/0.68 (step @p710 :rule evaluate :args (@t170)) % 0.46/0.68 (step @p791 :rule refl :args (32)) % 0.46/0.68 (step @p792 :rule nary_cong :premises (@p791 @p710) :args (@t187)) % 0.46/0.68 (step @p793 :rule trans :premises (@p792 @p790)) % 0.46/0.68 (step @p713 :rule arith_poly_norm :args (@t173)) % 0.46/0.68 (step @p794 :rule cong :premises (@p713 @p793) :args ((<= @t172 @t187))) % 0.46/0.68 (step @p795 :rule trans :premises (@p794 @p789)) % 0.46/0.68 (step @p720 :rule arith_mult_neg :args (-1 @t154)) % 0.46/0.68 (step @p63 :rule evaluate :args (@t32)) % 0.46/0.68 (step @p64 :rule true_elim :premises (@p63)) % 0.46/0.68 (step @p796 :rule and_intro :premises (@p64 @p1047)) % 0.46/0.68 (step @p797 :rule modus_ponens :premises (@p796 @p720)) % 0.46/0.68 (step @p798 :rule arith_sum_ub :premises (@p1046 @p797)) % 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(@p871)) % 0.46/0.68 (step-pop @p1074 :rule scope :premises (@p1073)) % 0.46/0.68 (step-pop @p1075 :rule scope :premises (@p1074)) % 0.46/0.68 (step @p872 :rule process_scope :premises (@p1075) :args (false)) % 0.46/0.68 (assume-push @p1076 @t12) % 0.46/0.68 (assume-push @p1077 @t44) % 0.46/0.68 (assume-push @p1078 @t184) % 0.46/0.68 (step @p879 :rule and_intro :premises (@p1078 @p1077 @p1076)) % 0.46/0.68 (step-pop @p1079 :rule scope :premises (@p879)) % 0.46/0.68 (step-pop @p1080 :rule scope :premises (@p1079)) % 0.46/0.68 (step-pop @p1081 :rule scope :premises (@p1080)) % 0.46/0.68 (step @p880 :rule process_scope :premises (@p1081) :args (@t194)) % 0.46/0.68 (step @p884 :rule implies_elim :premises (@p880)) % 0.46/0.68 (step @p885 :rule resolution :premises (@p884 @p872) :args (true @t194)) % 0.46/0.68 (step @p886 :rule not_and :premises (@p885)) % 0.46/0.68 (step @p887 :rule eq_resolve :premises (@p886 @p864)) % 0.46/0.68 (step @p888 :rule chain_m_resolution :premises (@p887 @p861 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:rule modus_ponens :premises (@p902 @p899)) % 0.46/0.68 (step-pop @p1088 :rule scope :premises (@p903)) % 0.46/0.68 (step-pop @p1089 :rule scope :premises (@p1088)) % 0.46/0.68 (step @p904 :rule process_scope :premises (@p1089) :args (@t59)) % 0.46/0.68 (step @p907 :rule implies_elim :premises (@p904)) % 0.46/0.68 (step @p908 :rule cnf_and_neg :args (@t195)) % 0.46/0.68 (step @p909 :rule resolution :premises (@p908 @p907) :args (true @t195)) % 0.46/0.68 (step @p910 :rule eq_resolve :premises (@p909 @p891)) % 0.46/0.68 (step @p911 :rule reordering :premises (@p910) :args ((or @t12 @t59 @t35))) % 0.46/0.68 (step @p912 :rule chain_m_resolution :premises (@p911 @p888 @p742) :args (@t59 (@list true false) (@list @t12 @t34))) % 0.46/0.68 (assume-push @p1090 @t59) % 0.46/0.68 (step @p914 :rule evaluate :args ((= 0 0))) % 0.46/0.68 (step @p915 :rule evaluate :args (@t196)) % 0.46/0.68 (step @p916 :rule cong :premises (@p915 @p56) :args ((= @t196 0))) % 0.46/0.68 (step @p917 :rule trans :premises (@p916 @p914)) % 0.46/0.68 (step @p918 :rule nary_cong :premises (@p1090 @p1090 @p1090 @p1090 @p1090) :args (@t8)) % 0.46/0.68 (step @p919 :rule cong :premises (@p918 @p56) :args (@t197)) % 0.46/0.68 (step @p920 :rule trans :premises (@p919 @p917)) % 0.46/0.68 (step @p921 :rule true_elim :premises (@p920)) % 0.46/0.68 (step-pop @p1091 :rule scope :premises (@p921)) % 0.46/0.68 (step @p922 :rule process_scope :premises (@p1091) :args (@t197)) % 0.46/0.68 (step @p924 :rule implies_elim :premises (@p922)) % 0.46/0.68 (step @p925 :rule chain_m_resolution :premises (@p924 @p912) :args (@t197 @t175 (@list @t59))) % 0.46/0.68 (assume-push @p1092 @t197) % 0.46/0.68 (assume-push @p1093 @t154) % 0.46/0.68 (assume-push @p1094 @t197) % 0.46/0.68 (step @p929 :rule evaluate :args ((<= 0 -40))) % 0.46/0.68 (step @p709 :rule evaluate :args (@t169)) % 0.46/0.68 (step @p710 :rule evaluate :args (@t170)) % 0.46/0.68 (step @p711 :rule nary_cong :premises (@p56 @p710) :args (@t171)) % 0.46/0.68 (step @p712 :rule trans :premises (@p711 @p709)) % 0.46/0.68 (step @p713 :rule arith_poly_norm :args (@t173)) % 0.46/0.68 (step @p930 :rule cong :premises (@p713 @p712) :args ((<= @t172 @t171))) % 0.46/0.68 (step @p931 :rule trans :premises (@p930 @p929)) % 0.46/0.68 (step @p720 :rule arith_mult_neg :args (-1 @t154)) % 0.46/0.68 (step @p63 :rule evaluate :args (@t32)) % 0.46/0.68 (step @p64 :rule true_elim :premises (@p63)) % 0.46/0.68 (step @p932 :rule and_intro :premises (@p64 @p1093)) % 0.46/0.68 (step @p933 :rule modus_ponens :premises (@p932 @p720)) % 0.46/0.68 (step @p934 :rule arith_sum_ub :premises (@p1092 @p933)) % 0.46/0.68 (step @p935 false :rule eq_resolve :premises (@p934 @p931)) % 0.46/0.68 (step-pop @p1095 :rule scope :premises (@p935)) % 0.46/0.68 (step @p936 :rule process_scope :premises (@p1095) :args (false)) % 0.46/0.68 (step @p938 false :rule contra :premises (@p1092 @p936)) % 0.46/0.68 (step-pop @p1096 :rule scope :premises (@p938)) % 0.46/0.68 (step-pop @p1097 :rule scope :premises (@p1096)) % 0.46/0.68 (step @p939 :rule process_scope :premises (@p1097) :args (false)) % 0.46/0.68 (assume-push @p1098 @t154) % 0.46/0.68 (assume-push @p1099 @t197) % 0.46/0.68 (step @p944 :rule and_intro :premises (@p1099 @p1098)) % 0.46/0.68 (step-pop @p1100 :rule scope :premises (@p944)) % 0.46/0.68 (step-pop @p1101 :rule scope :premises (@p1100)) % 0.46/0.68 (step @p945 :rule process_scope :premises (@p1101) :args (@t198)) % 0.46/0.68 (step @p948 :rule implies_elim :premises (@p945)) % 0.46/0.68 (step @p949 :rule resolution :premises (@p948 @p939) :args (true @t198)) % 0.46/0.68 (step @p950 :rule not_and :premises (@p949)) % 0.46/0.68 (step @p951 false :rule chain_m_resolution :premises (@p950 @p925 @p700) :args (false (@list false false) (@list @t197 @t154))) % 0.46/0.68 ) % 0.46/0.68 % SZS output end Proof % 0.46/0.68 % cvc5 exiting %------------------------------------------------------------------------------