%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI635_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 : n013.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 08:08:01 AM UTC 2026 % Result : Theorem 45.32s 45.59s % Output : Proof 45.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI635_1 : TPTP v9.2.1. Released v6.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:30:15 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 45.32/45.59 --- Run --finite-model-find --decision=internal at 45... % 45.32/45.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.32/45.59 % SZS status Theorem % 45.32/45.59 % SZS output start Proof % 45.32/45.59 ( % 45.32/45.59 (declare-const tptp.x Real) % 45.32/45.59 (declare-const tptp.y Real) % 45.32/45.59 (declare-const tptp.s Real) % 45.32/45.59 (declare-const tptp.w Real) % 45.32/45.59 (declare-const tptp.u Real) % 45.32/45.59 (declare-const tptp.v Real) % 45.32/45.59 (declare-const tptp.f (-> Real Real)) % 45.32/45.59 (define @t1 () (@var "Y" Real)) % 45.32/45.59 (define @t2 () (tptp.f @t1)) % 45.32/45.59 (define @t3 () (@var "X" Real)) % 45.32/45.59 (define @t4 () (tptp.f @t3)) % 45.32/45.59 (define @t5 () (>= @t4 @t2)) % 45.32/45.59 (define @t6 () (>= @t3 @t1)) % 45.32/45.59 (define @t7 () (=> @t6 @t5)) % 45.32/45.59 (define @t8 () (@list @t3 @t1)) % 45.32/45.59 (define @t9 () (forall @t8 @t7)) % 45.32/45.59 (define @t10 () (> tptp.w 1/1)) % 45.32/45.59 (define @t11 () (> tptp.s 2/1)) % 45.32/45.59 (define @t12 () (+ tptp.w tptp.s)) % 45.32/45.59 (define @t13 () (/ 1/1 3/1)) % 45.32/45.59 (define @t14 () (* @t13 @t12)) % 45.32/45.59 (define @t15 () (tptp.f tptp.y)) % 45.32/45.59 (define @t16 () (* tptp.v tptp.v)) % 45.32/45.59 (define @t17 () (+ @t16 @t15)) % 45.32/45.59 (define @t18 () (tptp.f tptp.x)) % 45.32/45.59 (define @t19 () (+ @t18 tptp.u)) % 45.32/45.59 (define @t20 () (not (< @t19 @t17))) % 45.32/45.59 (define @t21 () (* -1/1 tptp.v)) % 45.32/45.59 (define @t22 () (+ tptp.u @t21)) % 45.32/45.59 (define @t23 () (>= @t22 0/1)) % 45.32/45.59 (define @t24 () (>= tptp.u tptp.v)) % 45.32/45.59 (define @t25 () (* tptp.v tptp.v)) % 45.32/45.59 (define @t26 () (* -1/1 @t25)) % 45.32/45.59 (define @t27 () (* -1/1 @t15)) % 45.32/45.59 (define @t28 () (+ tptp.u @t18 @t27 @t26)) % 45.32/45.59 (define @t29 () (>= @t28 0/1)) % 45.32/45.59 (define @t30 () (+ @t15 @t25)) % 45.32/45.59 (define @t31 () (+ tptp.u @t18)) % 45.32/45.59 (define @t32 () (>= @t19 @t17)) % 45.32/45.59 (define @t33 () (* 1/3 tptp.s)) % 45.32/45.59 (define @t34 () (* 1/3 tptp.w)) % 45.32/45.59 (define @t35 () (+ @t21 @t34 @t33)) % 45.32/45.59 (define @t36 () (* -1/1 (- @t35 0/1))) % 45.32/45.59 (define @t37 () (+ @t34 @t33)) % 45.32/45.59 (define @t38 () (>= @t35 0/1)) % 45.32/45.59 (define @t39 () (>= @t14 tptp.v)) % 45.32/45.59 (define @t40 () (* -1/1 tptp.s)) % 45.32/45.59 (define @t41 () (>= @t40 -2/1)) % 45.32/45.59 (define @t42 () (>= 2/1 tptp.s)) % 45.32/45.59 (define @t43 () (* -1/1 tptp.w)) % 45.32/45.59 (define @t44 () (>= @t43 -1/1)) % 45.32/45.59 (define @t45 () (>= 1/1 tptp.w)) % 45.32/45.59 (define @t46 () (>= tptp.v 0/1)) % 45.32/45.59 (define @t47 () (not @t46)) % 45.32/45.59 (define @t48 () (not @t38)) % 45.32/45.59 (define @t49 () (not @t48)) % 45.32/45.59 (define @t50 () (not @t41)) % 45.32/45.59 (define @t51 () (not @t50)) % 45.32/45.59 (define @t52 () (not @t44)) % 45.32/45.59 (define @t53 () (not @t52)) % 45.32/45.59 (define @t54 () (< tptp.v 0/1)) % 45.32/45.59 (define @t55 () (not true)) % 45.32/45.59 (define @t56 () (>= 0/1 -1/1)) % 45.32/45.59 (define @t57 () (* -1/1 0/1)) % 45.32/45.59 (define @t58 () (* -1/3 1/1)) % 45.32/45.59 (define @t59 () (* -1/3 2/1)) % 45.32/45.59 (define @t60 () (+ 0/1 @t59 @t58 @t57)) % 45.32/45.59 (define @t61 () (* -1/3 tptp.w)) % 45.32/45.59 (define @t62 () (* -1/3 tptp.s)) % 45.32/45.59 (define @t63 () (+ tptp.v @t61 @t62)) % 45.32/45.59 (define @t64 () (* -1/1 @t63)) % 45.32/45.59 (define @t65 () (= @t64 @t35)) % 45.32/45.59 (define @t66 () (+ tptp.v @t62 @t61 @t64)) % 45.32/45.59 (define @t67 () (>= @t66 @t60)) % 45.32/45.59 (define @t68 () (> @t63 0/1)) % 45.32/45.59 (define @t69 () (= (* -1/1 (- 0/1 @t63)) @t36)) % 45.32/45.59 (define @t70 () (>= 0/1 @t63)) % 45.32/45.59 (define @t71 () (= @t70 @t38)) % 45.32/45.59 (define @t72 () (not (<= @t63 0/1))) % 45.32/45.59 (define @t73 () (not @t70)) % 45.32/45.59 (define @t74 () (< -1/1 0/1)) % 45.32/45.59 (define @t75 () (< -1/3 0/1)) % 45.32/45.59 (define @t76 () (and @t48 @t52 @t50 @t47)) % 45.32/45.59 (define @t77 () (@list true true true)) % 45.32/45.59 (define @t78 () (@list @t44 @t41 @t38)) % 45.32/45.59 (define @t79 () (>= @t21 -1/1)) % 45.32/45.59 (define @t80 () (not @t79)) % 45.32/45.59 (define @t81 () (>= 0/1 0/1)) % 45.32/45.59 (define @t82 () (+ 1/1 @t57 @t59 @t58)) % 45.32/45.59 (define @t83 () (+ tptp.v @t64 @t62 @t61)) % 45.32/45.59 (define @t84 () (>= @t83 @t82)) % 45.32/45.59 (define @t85 () (= (* 1/1 (- 1/1 tptp.v)) (* 1/1 (- @t21 -1/1)))) % 45.32/45.59 (define @t86 () (>= 1/1 tptp.v)) % 45.32/45.59 (define @t87 () (= @t86 @t79)) % 45.32/45.59 (define @t88 () (>= tptp.v -1/1)) % 45.32/45.59 (define @t89 () (not @t88)) % 45.32/45.59 (define @t90 () (ite @t46 @t80 @t89)) % 45.32/45.59 (define @t91 () (not @t80)) % 45.32/45.59 (define @t92 () (@list true false)) % 45.32/45.59 (define @t93 () (= tptp.v 0/1)) % 45.32/45.59 (define @t94 () (not @t93)) % 45.32/45.59 (define @t95 () (* -1/1 1/1)) % 45.32/45.59 (define @t96 () (+ 0/1 @t95)) % 45.32/45.59 (define @t97 () (+ tptp.v @t21)) % 45.32/45.59 (define @t98 () (>= @t97 @t96)) % 45.32/45.59 (define @t99 () (> tptp.v 1/1)) % 45.32/45.59 (define @t100 () (not (<= tptp.v 1/1))) % 45.32/45.59 (define @t101 () (not @t86)) % 45.32/45.59 (define @t102 () (@list true)) % 45.32/45.59 (define @t103 () (not @t90)) % 45.32/45.59 (define @t104 () (and @t90 @t94)) % 45.32/45.59 (define @t105 () (not @t94)) % 45.32/45.59 (define @t106 () (+ @t21 @t25)) % 45.32/45.59 (define @t107 () (* -1/1 (- @t106 0/1))) % 45.32/45.59 (define @t108 () (>= @t106 0/1)) % 45.32/45.59 (define @t109 () (- tptp.v)) % 45.32/45.59 (define @t110 () (- @t25)) % 45.32/45.59 (define @t111 () (<= @t110 @t109)) % 45.32/45.59 (define @t112 () (+ tptp.v @t25)) % 45.32/45.59 (define @t113 () (>= @t112 0/1)) % 45.32/45.59 (define @t114 () (<= @t110 tptp.v)) % 45.32/45.59 (define @t115 () (ite @t46 (> @t110 tptp.v) (> @t110 @t109))) % 45.32/45.59 (define @t116 () (+ @t21 @t26)) % 45.32/45.59 (define @t117 () (>= @t116 0/1)) % 45.32/45.59 (define @t118 () (<= @t25 @t109)) % 45.32/45.59 (define @t119 () (+ tptp.v @t26)) % 45.32/45.59 (define @t120 () (>= @t119 0/1)) % 45.32/45.59 (define @t121 () (>= tptp.v @t25)) % 45.32/45.59 (define @t122 () (ite @t46 (> @t25 tptp.v) (> @t25 @t109))) % 45.32/45.59 (define @t123 () (>= @t25 0/1)) % 45.32/45.59 (define @t124 () (ite @t123 @t122 @t115)) % 45.32/45.59 (define @t125 () (>= tptp.v 1/1)) % 45.32/45.59 (define @t126 () (- 1/1)) % 45.32/45.59 (define @t127 () (<= @t109 @t126)) % 45.32/45.59 (define @t128 () (<= @t109 1/1)) % 45.32/45.59 (define @t129 () (>= 1/1 0/1)) % 45.32/45.59 (define @t130 () (ite @t129 (> @t109 1/1) (> @t109 @t126))) % 45.32/45.59 (define @t131 () (>= @t21 1/1)) % 45.32/45.59 (define @t132 () (<= tptp.v @t126)) % 45.32/45.59 (define @t133 () (ite @t129 @t99 (> tptp.v @t126))) % 45.32/45.59 (define @t134 () (ite @t46 @t133 @t130)) % 45.32/45.59 (define @t135 () (and @t134 @t94)) % 45.32/45.59 (define @t136 () (abs @t25)) % 45.32/45.59 (define @t137 () (abs tptp.v)) % 45.32/45.59 (define @t138 () (+ @t137 (* -1/1 @t136))) % 45.32/45.59 (define @t139 () (>= @t137 @t136)) % 45.32/45.59 (define @t140 () (* 1/1 tptp.v)) % 45.32/45.59 (define @t141 () (abs @t140)) % 45.32/45.59 (define @t142 () (<= @t136 @t141)) % 45.32/45.59 (define @t143 () (not @t108)) % 45.32/45.59 (define @t144 () (not @t120)) % 45.32/45.59 (define @t145 () (ite @t46 @t144 (not @t117))) % 45.32/45.59 (define @t146 () (ite @t123 @t145 (ite @t46 (not @t113) @t143))) % 45.32/45.59 (define @t147 () (@list false)) % 45.32/45.59 (define @t148 () (>= @t26 0/1)) % 45.32/45.59 (define @t149 () (not @t148)) % 45.32/45.59 (define @t150 () (>= 0/1 @t25)) % 45.32/45.59 (define @t151 () (> @t25 0/1)) % 45.32/45.59 (define @t152 () (< @t25 0/1)) % 45.32/45.59 (define @t153 () (+ 0/1 0/1)) % 45.32/45.59 (define @t154 () (+ 0/1 @t57)) % 45.32/45.59 (define @t155 () (+ @t25 @t26)) % 45.32/45.59 (define @t156 () (>= @t155 @t154)) % 45.32/45.59 (define @t157 () (@list false false)) % 45.32/45.59 (define @t158 () (= (* -1/1 (- 0/1 @t119)) @t107)) % 45.32/45.59 (define @t159 () (>= 0/1 @t119)) % 45.32/45.59 (define @t160 () (= @t159 @t108)) % 45.32/45.59 (define @t161 () (> @t119 0/1)) % 45.32/45.59 (define @t162 () (+ @t57 0/1)) % 45.32/45.59 (define @t163 () (* 0/1 tptp.v)) % 45.32/45.59 (define @t164 () (* 0/1 @t25)) % 45.32/45.59 (define @t165 () (= @t164 0/1)) % 45.32/45.59 (define @t166 () (+ @t164 @t163)) % 45.32/45.59 (define @t167 () (+ (* -1/1 @t119) @t119)) % 45.32/45.59 (define @t168 () (>= @t167 @t162)) % 45.32/45.59 (define @t169 () (+ @t3 (* -1/1 @t1))) % 45.32/45.59 (define @t170 () (>= @t169 0/1)) % 45.32/45.59 (define @t171 () (+ @t4 (* -1/1 @t2))) % 45.32/45.59 (define @t172 () (>= @t171 0/1)) % 45.32/45.59 (define @t173 () (* -1/1 @t18)) % 45.32/45.59 (define @t174 () (+ @t173 @t15)) % 45.32/45.59 (define @t175 () (+ @t15 @t173)) % 45.32/45.59 (define @t176 () (>= @t175 0/1)) % 45.32/45.59 (define @t177 () (* -1/1 tptp.x)) % 45.32/45.59 (define @t178 () (+ @t177 tptp.y)) % 45.32/45.59 (define @t179 () (+ tptp.y @t177)) % 45.32/45.59 (define @t180 () (>= @t179 0/1)) % 45.32/45.59 (define @t181 () (not @t180)) % 45.32/45.59 (define @t182 () (or @t181 @t176)) % 45.32/45.59 (define @t183 () (forall @t8 (or (not @t170) @t172))) % 45.32/45.59 (define @t184 () (>= @t174 0/1)) % 45.32/45.59 (define @t185 () (>= @t178 0/1)) % 45.32/45.59 (define @t186 () (not @t185)) % 45.32/45.59 (define @t187 () (or @t186 @t184)) % 45.32/45.59 (define @t188 () (@list @t185 @t187)) % 45.32/45.59 (define @t189 () (not @t184)) % 45.32/45.59 (define @t190 () (not @t29)) % 45.32/45.59 (define @t191 () (not @t23)) % 45.32/45.59 (define @t192 () (+ @t18 @t27)) % 45.32/45.59 (define @t193 () (>= 0/1 @t192)) % 45.32/45.59 (define @t194 () (<= @t192 0/1)) % 45.32/45.59 (define @t195 () (+ 0/1 @t57 0/1 0/1)) % 45.32/45.59 (define @t196 () (* 0/1 tptp.u)) % 45.32/45.59 (define @t197 () (* 0/1 @t18)) % 45.32/45.59 (define @t198 () (* 0/1 @t15)) % 45.32/45.59 (define @t199 () (+ @t164 @t198 @t21 @t197 tptp.v @t196)) % 45.32/45.59 (define @t200 () (+ @t192 (* -1/1 @t28) @t22 @t119)) % 45.32/45.59 (define @t201 () (>= @t200 @t195)) % 45.32/45.59 (define @t202 () (and @t108 @t191 @t29 @t184)) % 45.32/45.59 (assume @p1 @t9) % 45.32/45.59 (assume @p2 (< tptp.u tptp.v)) % 45.32/45.59 (assume @p3 @t10) % 45.32/45.59 (assume @p4 @t11) % 45.32/45.59 (assume @p5 (< @t14 tptp.v)) % 45.32/45.59 (assume @p6 (<= tptp.x tptp.y)) % 45.32/45.59 (assume @p7 @t20) % 45.32/45.59 (assume @p8 true) % 45.32/45.59 (step @p9 :rule arith_poly_norm :args ((= (* 1/1 (- tptp.u tptp.v)) (* 1/1 (- @t22 0/1))))) % 45.32/45.59 (step @p10 :rule arith_poly_norm_rel :premises (@p9) :args ((= @t24 @t23))) % 45.32/45.59 (step @p11 :rule cong :premises (@p10) :args ((not @t24))) % 45.32/45.59 (step @p12 :rule arith-elim-lt :args (tptp.u tptp.v)) % 45.32/45.59 (step @p13 :rule trans :premises (@p12 @p11)) % 45.32/45.59 (step @p14 :rule eq_resolve :premises (@p2 @p13)) % 45.32/45.59 (step @p15 :rule bool-double-not-elim :args (@t29)) % 45.32/45.59 (step @p16 :rule arith_poly_norm :args ((= (* 1/1 (- @t31 @t30)) (* 1/1 (- @t28 0/1))))) % 45.32/45.59 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= (>= @t31 @t30) @t29))) % 45.32/45.59 (step @p18 :rule arith_poly_norm :args ((= (+ @t25 @t15) @t30))) % 45.32/45.59 (step @p19 :rule refl :args (@t15)) % 45.32/45.59 (step @p20 :rule arith_poly_norm :args ((= @t16 @t25))) % 45.32/45.59 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t17)) % 45.32/45.59 (step @p22 :rule trans :premises (@p21 @p18)) % 45.32/45.59 (step @p23 :rule arith_poly_norm :args ((= @t19 @t31))) % 45.32/45.59 (step @p24 :rule cong :premises (@p23 @p22) :args (@t32)) % 45.32/45.59 (step @p25 :rule trans :premises (@p24 @p17)) % 45.32/45.59 (step @p26 :rule cong :premises (@p25) :args ((not @t32))) % 45.32/45.59 (step @p27 :rule arith-elim-lt :args (@t19 @t17)) % 45.32/45.59 (step @p28 :rule trans :premises (@p27 @p26)) % 45.32/45.59 (step @p29 :rule cong :premises (@p28) :args (@t20)) % 45.32/45.59 (step @p30 :rule trans :premises (@p29 @p15)) % 45.32/45.59 (step @p31 :rule eq_resolve :premises (@p7 @p30)) % 45.32/45.59 (step @p32 :rule arith_poly_norm :args ((= (* -1/1 (- @t37 tptp.v)) @t36))) % 45.32/45.59 (step @p33 :rule arith_poly_norm_rel :premises (@p32) :args ((= (>= @t37 tptp.v) @t38))) % 45.32/45.59 (step @p34 :rule refl :args (tptp.v)) % 45.32/45.59 (step @p35 :rule arith_poly_norm :args ((= (* 1/3 @t12) @t37))) % 45.32/45.59 (step @p36 :rule refl :args (@t12)) % 45.32/45.59 (step @p37 :rule evaluate :args (@t13)) % 45.32/45.59 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t14)) % 45.32/45.59 (step @p39 :rule trans :premises (@p38 @p35)) % 45.32/45.59 (step @p40 :rule cong :premises (@p39 @p34) :args (@t39)) % 45.32/45.59 (step @p41 :rule trans :premises (@p40 @p33)) % 45.32/45.59 (step @p42 :rule cong :premises (@p41) :args ((not @t39))) % 45.32/45.59 (step @p43 :rule arith-elim-lt :args (@t14 tptp.v)) % 45.32/45.59 (step @p44 :rule trans :premises (@p43 @p42)) % 45.32/45.59 (step @p45 :rule eq_resolve :premises (@p5 @p44)) % 45.32/45.59 (step @p46 :rule arith_poly_norm :args ((= (* 2/1 (- 2/1 tptp.s)) (* 2/1 (- @t40 -2/1))))) % 45.32/45.59 (step @p47 :rule arith_poly_norm_rel :premises (@p46) :args ((= @t42 @t41))) % 45.32/45.59 (step @p48 :rule arith-elim-leq :args (tptp.s 2/1)) % 45.32/45.59 (step @p49 :rule trans :premises (@p48 @p47)) % 45.32/45.59 (step @p50 :rule cong :premises (@p49) :args ((not (<= tptp.s 2/1)))) % 45.32/45.59 (step @p51 :rule symm :premises (@p48)) % 45.32/45.59 (step @p52 :rule cong :premises (@p51) :args ((not @t42))) % 45.32/45.59 (step @p53 :rule arith-elim-gt :args (tptp.s 2/1)) % 45.32/45.59 (step @p54 :rule trans :premises (@p53 @p52)) % 45.32/45.59 (step @p55 :rule trans :premises (@p54 @p50)) % 45.32/45.59 (step @p56 :rule eq_resolve :premises (@p4 @p55)) % 45.32/45.59 (step @p57 :rule arith_poly_norm :args ((= (* 1/1 (- 1/1 tptp.w)) (* 1/1 (- @t43 -1/1))))) % 45.32/45.59 (step @p58 :rule arith_poly_norm_rel :premises (@p57) :args ((= @t45 @t44))) % 45.32/45.59 (step @p59 :rule arith-elim-leq :args (tptp.w 1/1)) % 45.32/45.59 (step @p60 :rule trans :premises (@p59 @p58)) % 45.32/45.59 (step @p61 :rule cong :premises (@p60) :args ((not (<= tptp.w 1/1)))) % 45.32/45.59 (step @p62 :rule symm :premises (@p59)) % 45.32/45.59 (step @p63 :rule cong :premises (@p62) :args ((not @t45))) % 45.32/45.59 (step @p64 :rule arith-elim-gt :args (tptp.w 1/1)) % 45.32/45.59 (step @p65 :rule trans :premises (@p64 @p63)) % 45.32/45.59 (step @p66 :rule trans :premises (@p65 @p61)) % 45.32/45.59 (step @p67 :rule eq_resolve :premises (@p3 @p66)) % 45.32/45.59 (step @p68 :rule bool-double-not-elim :args (@t46)) % 45.32/45.59 (step @p69 :rule bool-double-not-elim :args (@t38)) % 45.32/45.59 (step @p70 :rule bool-double-not-elim :args (@t41)) % 45.32/45.59 (step @p71 :rule bool-double-not-elim :args (@t44)) % 45.32/45.59 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p68) :args ((or @t53 @t51 @t49 (not @t47)))) % 45.32/45.59 (assume-push @p627 @t48) % 45.32/45.59 (assume-push @p628 @t52) % 45.32/45.59 (assume-push @p629 @t50) % 45.32/45.59 (assume-push @p630 @t47) % 45.32/45.59 (step @p77 :rule arith-elim-lt :args (tptp.v 0/1)) % 45.32/45.59 (step @p78 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(step @p484 :rule nary_cong :premises (@p483 @p482) :args (@t166)) % 45.32/45.59 (step @p485 :rule trans :premises (@p484 @p425)) % 45.32/45.59 (step @p486 :rule arith_poly_norm :args ((= @t167 @t166))) % 45.32/45.59 (step @p487 :rule trans :premises (@p486 @p485)) % 45.32/45.59 (step @p488 :rule cong :premises (@p487 @p481) :args (@t168)) % 45.32/45.59 (step @p489 :rule trans :premises (@p488 @p163)) % 45.32/45.59 (step @p490 :rule cong :premises (@p489) :args ((not @t168))) % 45.32/45.59 (step @p491 :rule trans :premises (@p490 @p82)) % 45.32/45.59 (step @p492 :rule arith-elim-lt :args (@t167 @t162)) % 45.32/45.59 (step @p493 :rule trans :premises (@p492 @p491)) % 45.32/45.59 (step @p494 :rule arith-elim-lt :args (@t119 0/1)) % 45.32/45.59 (step @p495 :rule symm :premises (@p494)) % 45.32/45.59 (step @p496 :rule eq_resolve :premises (@p669 @p495)) % 45.32/45.59 (step @p497 :rule arith_mult_neg :args (-1/1 @t161)) % 45.32/45.59 (step @p116 :rule evaluate :args (@t74)) % 45.32/45.59 (step @p117 :rule true_elim :premises (@p116)) % 45.32/45.59 (step @p498 :rule and_intro :premises (@p117 @p671)) % 45.32/45.59 (step @p499 :rule modus_ponens :premises (@p498 @p497)) % 45.32/45.59 (step @p500 :rule arith_sum_ub :premises (@p499 @p496)) % 45.32/45.59 (step @p501 false :rule eq_resolve :premises (@p500 @p493)) % 45.32/45.59 (step-pop @p672 :rule scope :premises (@p501)) % 45.32/45.59 (step @p502 :rule process_scope :premises (@p672) :args (false)) % 45.32/45.59 (step @p504 :rule eq_resolve :premises (@p502 @p478)) % 45.32/45.59 (step @p505 :rule eq_resolve :premises (@p504 @p467)) % 45.32/45.59 (step-pop @p673 :rule scope :premises (@p505)) % 45.32/45.59 (step @p506 :rule process_scope :premises (@p673) :args (@t108)) % 45.32/45.59 (step @p508 :rule modus_ponens :premises (@p669 @p506)) % 45.32/45.59 (step-pop @p674 :rule scope :premises (@p508)) % 45.32/45.59 (step @p509 :rule process_scope :premises (@p674) :args (@t108)) % 45.32/45.59 (step @p511 :rule implies_elim :premises (@p509)) % 45.32/45.59 (step @p512 :rule eq_resolve :premises (@p511 @p461)) % 45.32/45.59 (step @p513 :rule chain_m_resolution :premises (@p512 @p458) :args (@t108 @t102 (@list @t120))) % 45.32/45.59 (step @p514 :rule bool-impl-elim :args (@t170 @t172)) % 45.32/45.59 (step @p515 :rule cong :premises (@p514) :args ((forall @t8 (=> @t170 @t172)))) % 45.32/45.59 (step @p516 :rule arith_poly_norm :args ((= (* 1/1 (- @t4 @t2)) (* 1/1 (- @t171 0/1))))) % 45.32/45.59 (step @p517 :rule arith_poly_norm_rel :premises (@p516) :args ((= @t5 @t172))) % 45.32/45.59 (step @p518 :rule arith_poly_norm :args ((= (* 1/1 (- @t3 @t1)) (* 1/1 (- @t169 0/1))))) % 45.32/45.59 (step @p519 :rule arith_poly_norm_rel :premises (@p518) :args ((= @t6 @t170))) % 45.32/45.59 (step @p520 :rule cong :premises (@p519 @p517) :args (@t7)) % 45.32/45.59 (step @p521 :rule cong :premises (@p520) :args (@t9)) % 45.32/45.59 (step @p522 :rule trans :premises (@p521 @p515)) % 45.32/45.59 (step @p523 :rule eq_resolve :premises (@p1 @p522)) % 45.32/45.59 (step @p524 :rule refl :args (0/1)) % 45.32/45.59 (step @p525 :rule arith_poly_norm :args ((= @t175 @t174))) % 45.32/45.59 (step @p526 :rule cong :premises (@p525 @p524) :args (@t176)) % 45.32/45.59 (step @p527 :rule refl :args (0/1)) % 45.32/45.59 (step @p528 :rule arith_poly_norm :args ((= @t179 @t178))) % 45.32/45.59 (step @p529 :rule cong :premises (@p528 @p527) :args (@t180)) % 45.32/45.59 (step @p530 :rule cong :premises (@p529) :args (@t181)) % 45.32/45.59 (step @p531 :rule nary_cong :premises (@p530 @p526) :args (@t182)) % 45.32/45.59 (step @p532 :rule refl :args (@t183)) % 45.32/45.59 (step @p533 :rule cong :premises (@p532 @p531) :args ((=> @t183 @t182))) % 45.32/45.59 (assume-push @p675 @t183) % 45.32/45.59 (step @p535 :rule instantiate :premises (@p523) :args ((@list tptp.y tptp.x))) % 45.32/45.59 (step-pop @p676 :rule scope :premises (@p535)) % 45.32/45.59 (step @p536 :rule process_scope :premises (@p676) :args (@t182)) % 45.32/45.59 (step @p538 :rule eq_resolve :premises (@p536 @p533)) % 45.32/45.59 (step @p539 :rule implies_elim :premises (@p538)) % 45.32/45.59 (step @p540 :rule chain_m_resolution :premises (@p539 @p523) :args (@t187 @t147 (@list @t183))) % 45.32/45.59 (step @p541 :rule arith_poly_norm :args ((= (* -1/1 (- tptp.y tptp.x)) (* -1/1 (- @t178 0/1))))) % 45.32/45.59 (step @p542 :rule arith_poly_norm_rel :premises (@p541) :args ((= (>= tptp.y tptp.x) @t185))) % 45.32/45.59 (step @p543 :rule arith-elim-leq :args (tptp.x tptp.y)) % 45.32/45.59 (step @p544 :rule trans :premises (@p543 @p542)) % 45.32/45.59 (step @p545 :rule eq_resolve :premises (@p6 @p544)) % 45.32/45.59 (step @p546 :rule cnf_or_pos :args (@t187)) % 45.32/45.59 (step @p547 :rule reordering :premises (@p546) :args ((or @t186 @t184 (not @t187)))) % 45.32/45.59 (step @p548 :rule chain_m_resolution :premises (@p547 @p545 @p540) :args (@t184 @t157 @t188)) % 45.32/45.59 (step @p549 :rule refl :args (@t189)) % 45.32/45.59 (step @p550 :rule refl :args (@t143)) % 45.32/45.59 (step @p551 :rule refl :args (@t190)) % 45.32/45.59 (step @p552 :rule bool-double-not-elim :args (@t23)) % 45.32/45.59 (step @p553 :rule nary_cong :premises (@p552 @p551 @p550 @p549) :args ((or (not @t191) @t190 @t143 @t189))) % 45.32/45.59 (assume-push @p677 @t108) % 45.32/45.59 (assume-push @p678 @t191) % 45.32/45.59 (assume-push @p679 @t29) % 45.32/45.59 (assume-push @p680 @t184) % 45.32/45.59 (step @p558 :rule arith-elim-leq :args (@t192 0/1)) % 45.32/45.59 (step @p559 :rule symm :premises (@p558)) % 45.32/45.59 (step @p560 :rule cong :premises (@p559) :args ((not @t193))) % 45.32/45.59 (step @p561 :rule arith-elim-gt :args (@t192 0/1)) % 45.32/45.59 (step @p562 :rule trans :premises (@p561 @p560)) % 45.32/45.59 (step @p563 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t192)) (* -1/1 (- @t174 0/1))))) % 45.32/45.59 (step @p564 :rule arith_poly_norm_rel :premises (@p563) :args ((= @t193 @t184))) % 45.32/45.59 (step @p565 :rule trans :premises (@p558 @p564)) % 45.32/45.59 (step @p566 :rule cong :premises (@p565) :args ((not @t194))) % 45.32/45.59 (step @p567 :rule trans :premises (@p562 @p566)) % 45.32/45.59 (step @p568 :rule symm :premises (@p567)) % 45.32/45.59 (step @p569 :rule trans :premises (@p566 @p568)) % 45.32/45.59 (assume-push @p681 @t194) % 45.32/45.59 (step @p82 :rule evaluate :args (@t55)) % 45.32/45.59 (step @p163 :rule evaluate :args (@t81)) % 45.32/45.59 (step @p571 :rule evaluate :args ((+ 0/1 0/1 0/1 0/1))) % 45.32/45.59 (step @p88 :rule refl :args (0/1)) % 45.32/45.59 (step @p85 :rule evaluate :args (@t57)) % 45.32/45.59 (step @p572 :rule nary_cong :premises (@p88 @p85 @p88 @p88) :args (@t195)) % 45.32/45.59 (step @p573 :rule trans :premises (@p572 @p571)) % 45.32/45.59 (step @p574 :rule arith_poly_norm :args ((= (+ 0/1 0/1 @t21 0/1 tptp.v 0/1) 0/1))) % 45.32/45.59 (step @p575 :rule arith_poly_norm :args ((= @t196 0/1))) % 45.32/45.59 (step @p576 :rule arith_poly_norm :args ((= @t197 0/1))) % 45.32/45.59 (step @p577 :rule refl :args (@t21)) % 45.32/45.59 (step @p578 :rule arith_poly_norm :args ((= @t198 0/1))) % 45.32/45.59 (step @p483 :rule arith_poly_norm :args (@t165)) % 45.32/45.59 (step @p579 :rule nary_cong :premises (@p483 @p578 @p577 @p576 @p34 @p575) :args (@t199)) % 45.32/45.59 (step @p580 :rule trans :premises (@p579 @p574)) % 45.32/45.59 (step @p581 :rule arith_poly_norm :args ((= @t200 @t199))) % 45.32/45.59 (step @p582 :rule trans :premises (@p581 @p580)) % 45.32/45.59 (step @p583 :rule cong :premises (@p582 @p573) :args (@t201)) % 45.32/45.59 (step @p584 :rule trans :premises (@p583 @p163)) % 45.32/45.59 (step @p585 :rule cong :premises (@p584) :args ((not @t201))) % 45.32/45.59 (step @p586 :rule trans :premises (@p585 @p82)) % 45.32/45.59 (step @p587 :rule arith-elim-lt :args (@t200 @t195)) % 45.32/45.59 (step @p588 :rule trans :premises (@p587 @p586)) % 45.32/45.59 (step @p464 :rule arith_poly_norm :args (@t158)) % 45.32/45.59 (step @p465 :rule arith_poly_norm_rel :premises (@p464) :args (@t160)) % 45.32/45.59 (step @p466 :rule arith-elim-leq :args (@t119 0/1)) % 45.32/45.59 (step @p467 :rule trans :premises (@p466 @p465)) % 45.32/45.59 (step @p468 :rule symm :premises (@p467)) % 45.32/45.59 (step @p589 :rule eq_resolve :premises (@p677 @p468)) % 45.32/45.59 (step @p590 :rule arith-elim-lt :args (@t22 0/1)) % 45.32/45.59 (step @p591 :rule symm :premises (@p590)) % 45.32/45.59 (step @p592 :rule eq_resolve :premises (@p14 @p591)) % 45.32/45.59 (step @p593 :rule arith_mult_neg :args (-1/1 @t29)) % 45.32/45.59 (step @p116 :rule evaluate :args (@t74)) % 45.32/45.59 (step @p117 :rule true_elim :premises (@p116)) % 45.32/45.59 (step @p594 :rule and_intro :premises (@p117 @p31)) % 45.32/45.59 (step @p595 :rule modus_ponens :premises (@p594 @p593)) % 45.32/45.59 (step @p596 :rule symm :premises (@p565)) % 45.32/45.59 (step @p597 :rule chain_m_resolution :premises (@p547 @p545 @p540) :args (@t184 @t157 @t188)) % 45.32/45.59 (step @p598 :rule eq_resolve :premises (@p597 @p596)) % 45.32/45.59 (step @p599 :rule arith_sum_ub :premises (@p598 @p595 @p592 @p589)) % 45.32/45.59 (step @p600 false :rule eq_resolve :premises (@p599 @p588)) % 45.32/45.59 (step-pop @p682 :rule scope :premises (@p600)) % 45.32/45.59 (step @p601 :rule process_scope :premises (@p682) :args (false)) % 45.32/45.59 (step @p603 :rule eq_resolve :premises (@p601 @p569)) % 45.32/45.59 (step @p604 :rule eq_resolve :premises (@p603 @p562)) % 45.32/45.59 (step @p596 :rule symm :premises (@p565)) % 45.32/45.59 (step @p605 :rule eq_resolve :premises (@p548 @p596)) % 45.32/45.59 (step @p606 false :rule contra :premises (@p605 @p604)) % 45.32/45.59 (step-pop @p683 :rule scope :premises (@p606)) % 45.32/45.59 (step-pop @p684 :rule scope :premises (@p683)) % 45.32/45.59 (step-pop @p685 :rule scope :premises (@p684)) % 45.32/45.59 (step-pop @p686 :rule scope :premises (@p685)) % 45.32/45.59 (step @p607 :rule process_scope :premises (@p686) :args (false)) % 45.32/45.59 (assume-push @p687 @t191) % 45.32/45.59 (assume-push @p688 @t29) % 45.32/45.59 (assume-push @p689 @t108) % 45.32/45.59 (assume-push @p690 @t184) % 45.32/45.59 (step @p616 :rule and_intro :premises (@p689 @p14 @p31 @p548)) % 45.32/45.59 (step-pop @p691 :rule scope :premises (@p616)) % 45.32/45.59 (step-pop @p692 :rule scope :premises (@p691)) % 45.32/45.59 (step-pop @p693 :rule scope :premises (@p692)) % 45.32/45.59 (step-pop @p694 :rule scope :premises (@p693)) % 45.32/45.59 (step @p617 :rule process_scope :premises (@p694) :args (@t202)) % 45.32/45.59 (step @p622 :rule implies_elim :premises (@p617)) % 45.32/45.59 (step @p623 :rule resolution :premises (@p622 @p607) :args (true @t202)) % 45.32/45.59 (step @p624 :rule not_and :premises (@p623)) % 45.32/45.59 (step @p625 :rule eq_resolve :premises (@p624 @p553)) % 45.32/45.59 (step @p626 false :rule chain_m_resolution :premises (@p625 @p548 @p513 @p31 @p14) :args (false (@list false false false true) (@list @t184 @t108 @t29 @t23))) % 45.32/45.59 ) % 45.32/45.59 % SZS output end Proof % 45.32/45.59 % cvc5 exiting %------------------------------------------------------------------------------