%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI633_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 : n020.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 45.43s 45.75s % Output : Proof 45.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ARI633_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.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 02:30:56 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_ARI % 45.43/45.75 --- Run --finite-model-find --decision=internal at 45... % 45.43/45.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.43/45.75 % SZS status Theorem % 45.43/45.75 % SZS output start Proof % 45.43/45.75 ( % 45.43/45.75 (declare-const tptp.x Real) % 45.43/45.75 (declare-const tptp.w Real) % 45.43/45.75 (declare-const tptp.u Real) % 45.43/45.75 (declare-const tptp.v Real) % 45.43/45.75 (declare-const tptp.f (-> Real Real)) % 45.43/45.75 (define @t1 () (@var "X" Real)) % 45.43/45.75 (define @t2 () (tptp.f @t1)) % 45.43/45.75 (define @t3 () (forall (@list @t1) (<= @t2 1/1))) % 45.43/45.75 (define @t4 () (> tptp.w 0/1)) % 45.43/45.75 (define @t5 () (+ tptp.v tptp.w)) % 45.43/45.75 (define @t6 () (tptp.f tptp.x)) % 45.43/45.75 (define @t7 () (* tptp.w @t6)) % 45.43/45.75 (define @t8 () (+ tptp.u @t7)) % 45.43/45.75 (define @t9 () (not (< @t8 @t5))) % 45.43/45.75 (define @t10 () (* -1/1 tptp.w)) % 45.43/45.75 (define @t11 () (>= @t10 0/1)) % 45.43/45.75 (define @t12 () (>= 0/1 tptp.w)) % 45.43/45.75 (define @t13 () (* tptp.w @t6)) % 45.43/45.75 (define @t14 () (* -1/1 tptp.v)) % 45.43/45.75 (define @t15 () (+ tptp.u @t14 @t10 @t13)) % 45.43/45.75 (define @t16 () (>= @t15 0/1)) % 45.43/45.75 (define @t17 () (+ tptp.u @t13)) % 45.43/45.75 (define @t18 () (>= @t8 @t5)) % 45.43/45.75 (define @t19 () (+ tptp.u @t14)) % 45.43/45.75 (define @t20 () (>= @t19 0/1)) % 45.43/45.75 (define @t21 () (>= tptp.u tptp.v)) % 45.43/45.75 (define @t22 () (* -1/1 @t13)) % 45.43/45.75 (define @t23 () (= tptp.w @t22)) % 45.43/45.75 (define @t24 () (not @t23)) % 45.43/45.75 (define @t25 () (not @t16)) % 45.43/45.75 (define @t26 () (not @t11)) % 45.43/45.75 (define @t27 () (not @t26)) % 45.43/45.75 (define @t28 () (not @t20)) % 45.43/45.75 (define @t29 () (not @t28)) % 45.43/45.75 (define @t30 () (not true)) % 45.43/45.75 (define @t31 () (>= 0/1 0/1)) % 45.43/45.75 (define @t32 () (+ 0/1 0/1 0/1 0/1)) % 45.43/45.75 (define @t33 () (* -1/2 0/1)) % 45.43/45.75 (define @t34 () (* 1/2 0/1)) % 45.43/45.75 (define @t35 () (* -1/1 0/1)) % 45.43/45.75 (define @t36 () (+ @t35 @t34 @t34 @t33)) % 45.43/45.75 (define @t37 () (* 1/2 tptp.w)) % 45.43/45.75 (define @t38 () (+ (* -1/2 tptp.u) (* 1/2 tptp.v) @t37 (* -1/2 @t13))) % 45.43/45.75 (define @t39 () (+ @t37 (* 1/2 @t13))) % 45.43/45.75 (define @t40 () (+ (* 1/2 tptp.u) (* -1/2 tptp.v))) % 45.43/45.75 (define @t41 () (* -1/2 @t15)) % 45.43/45.75 (define @t42 () (+ tptp.w @t13)) % 45.43/45.75 (define @t43 () (* 1/2 @t42)) % 45.43/45.75 (define @t44 () (* 1/2 @t19)) % 45.43/45.75 (define @t45 () (+ @t10 @t44 @t43 @t41)) % 45.43/45.75 (define @t46 () (>= @t45 @t36)) % 45.43/45.75 (define @t47 () (= @t42 0/1)) % 45.43/45.75 (define @t48 () (* 1/1 (- tptp.w @t22))) % 45.43/45.75 (define @t49 () (* 1/1 (- @t42 0/1))) % 45.43/45.75 (define @t50 () (< -1/1 0/1)) % 45.43/45.75 (define @t51 () (and @t16 @t23 @t28 @t26)) % 45.43/45.75 (define @t52 () (@list true true false)) % 45.43/45.75 (define @t53 () (@list @t20 @t11 @t16)) % 45.43/45.75 (define @t54 () (+ tptp.w @t22)) % 45.43/45.75 (define @t55 () (>= @t54 0/1)) % 45.43/45.75 (define @t56 () (not @t55)) % 45.43/45.75 (define @t57 () (+ 0/1 0/1 0/1)) % 45.43/45.75 (define @t58 () (+ @t35 @t35 0/1)) % 45.43/45.75 (define @t59 () (= (+ @t13 @t22 tptp.w 0/1 @t10 0/1) 0/1)) % 45.43/45.75 (define @t60 () (* 0/1 tptp.u)) % 45.43/45.75 (define @t61 () (= @t60 0/1)) % 45.43/45.75 (define @t62 () (* 0/1 tptp.v)) % 45.43/45.75 (define @t63 () (= @t62 0/1)) % 45.43/45.75 (define @t64 () (+ @t13 @t22 tptp.w @t62 @t10 @t60)) % 45.43/45.75 (define @t65 () (* -1/1 @t15)) % 45.43/45.75 (define @t66 () (* -1/1 @t54)) % 45.43/45.75 (define @t67 () (+ @t66 @t65 @t19)) % 45.43/45.75 (define @t68 () (>= @t67 @t58)) % 45.43/45.75 (define @t69 () (@list true false)) % 45.43/45.75 (define @t70 () (@list @t20 @t16)) % 45.43/45.75 (define @t71 () (= tptp.w @t13)) % 45.43/45.75 (define @t72 () (not @t71)) % 45.43/45.75 (define @t73 () (= @t54 0/1)) % 45.43/45.75 (define @t74 () (+ 0/1 0/1)) % 45.43/45.75 (define @t75 () (+ @t35 0/1)) % 45.43/45.75 (define @t76 () (* 0/1 tptp.w)) % 45.43/45.75 (define @t77 () (* 0/1 @t13)) % 45.43/45.75 (define @t78 () (= @t77 0/1)) % 45.43/45.75 (define @t79 () (+ @t77 @t76)) % 45.43/45.75 (define @t80 () (+ @t66 @t54)) % 45.43/45.75 (define @t81 () (>= @t80 @t75)) % 45.43/45.75 (define @t82 () (- tptp.w @t13)) % 45.43/45.75 (define @t83 () (* 1/1 (- @t54 0/1))) % 45.43/45.75 (define @t84 () (and @t71 @t56)) % 45.43/45.75 (define @t85 () (@list true)) % 45.43/45.75 (define @t86 () (or @t71 @t23)) % 45.43/45.75 (define @t87 () (not @t86)) % 45.43/45.75 (define @t88 () (@list true true)) % 45.43/45.75 (define @t89 () (* 1/1 (- @t13 @t10))) % 45.43/45.75 (define @t90 () (- tptp.w)) % 45.43/45.75 (define @t91 () (= @t13 @t90)) % 45.43/45.75 (define @t92 () (- @t13 tptp.w)) % 45.43/45.75 (define @t93 () (= @t13 tptp.w)) % 45.43/45.75 (define @t94 () (or @t93 @t91)) % 45.43/45.75 (define @t95 () (- 1/1)) % 45.43/45.75 (define @t96 () (= @t6 @t95)) % 45.43/45.75 (define @t97 () (= @t6 1/1)) % 45.43/45.75 (define @t98 () (or @t97 @t96)) % 45.43/45.75 (define @t99 () (* 1/1 tptp.w)) % 45.43/45.75 (define @t100 () (= @t99 tptp.w)) % 45.43/45.75 (define @t101 () (abs @t99)) % 45.43/45.75 (define @t102 () (* @t6 tptp.w)) % 45.43/45.75 (define @t103 () (= @t102 @t13)) % 45.43/45.75 (define @t104 () (abs @t102)) % 45.43/45.75 (define @t105 () (abs tptp.w)) % 45.43/45.75 (define @t106 () (or @t97 (= @t6 -1/1))) % 45.43/45.75 (define @t107 () (not @t97)) % 45.43/45.75 (define @t108 () (* -1/1 @t2)) % 45.43/45.75 (define @t109 () (>= @t6 1/1)) % 45.43/45.75 (define @t110 () (not @t109)) % 45.43/45.75 (define @t111 () (* -1/1 @t6)) % 45.43/45.75 (define @t112 () (>= @t111 -1/1)) % 45.43/45.75 (define @t113 () (not @t112)) % 45.43/45.75 (define @t114 () (- 1/1 @t6)) % 45.43/45.75 (define @t115 () (= 1/1 @t6)) % 45.43/45.75 (define @t116 () (and true true)) % 45.43/45.75 (define @t117 () (and @t109 @t112)) % 45.43/45.75 (define @t118 () (and @t97 @t107)) % 45.43/45.75 (define @t119 () (@list false true)) % 45.43/45.75 (define @t120 () (>= @t13 0/1)) % 45.43/45.75 (define @t121 () (not @t120)) % 45.43/45.75 (define @t122 () (< @t13 0/1)) % 45.43/45.75 (define @t123 () (+ 0/1 @t35 0/1 @t35)) % 45.43/45.75 (define @t124 () (+ @t10 @t77 tptp.w @t62 @t60)) % 45.43/45.75 (define @t125 () (+ @t13 @t65 @t19 @t10)) % 45.43/45.75 (define @t126 () (>= @t125 @t123)) % 45.43/45.75 (define @t127 () (and @t26 @t28 @t16 @t121)) % 45.43/45.75 (define @t128 () (and @t4 (< @t6 0/1))) % 45.43/45.75 (define @t129 () (>= @t6 0/1)) % 45.43/45.75 (define @t130 () (not @t129)) % 45.43/45.75 (define @t131 () (and @t26 @t130)) % 45.43/45.75 (define @t132 () (not @t131)) % 45.43/45.75 (define @t133 () (@list false)) % 45.43/45.75 (define @t134 () (ite @t129 @t110 (not (>= @t111 1/1)))) % 45.43/45.75 (define @t135 () (= tptp.w 0/1)) % 45.43/45.75 (define @t136 () (not @t135)) % 45.43/45.75 (define @t137 () (+ 0/1 @t35)) % 45.43/45.75 (define @t138 () (+ tptp.w @t10)) % 45.43/45.75 (define @t139 () (= @t138 0/1)) % 45.43/45.75 (define @t140 () (>= @t138 @t137)) % 45.43/45.75 (define @t141 () (not @t140)) % 45.43/45.75 (define @t142 () (and @t135 @t26)) % 45.43/45.75 (define @t143 () (not @t134)) % 45.43/45.75 (define @t144 () (and @t134 @t136)) % 45.43/45.75 (define @t145 () (- @t13)) % 45.43/45.75 (define @t146 () (<= @t90 @t145)) % 45.43/45.75 (define @t147 () (>= @t42 0/1)) % 45.43/45.75 (define @t148 () (<= @t90 @t13)) % 45.43/45.75 (define @t149 () (ite @t120 (> @t90 @t13) (> @t90 @t145))) % 45.43/45.75 (define @t150 () (+ @t10 @t22)) % 45.43/45.75 (define @t151 () (>= @t150 0/1)) % 45.43/45.75 (define @t152 () (<= tptp.w @t145)) % 45.43/45.75 (define @t153 () (+ @t10 @t13)) % 45.43/45.75 (define @t154 () (* -1/1 (- @t153 0/1))) % 45.43/45.75 (define @t155 () (>= @t153 0/1)) % 45.43/45.75 (define @t156 () (>= @t13 tptp.w)) % 45.43/45.75 (define @t157 () (ite @t120 (> tptp.w @t13) (> tptp.w @t145))) % 45.43/45.75 (define @t158 () (>= tptp.w 0/1)) % 45.43/45.75 (define @t159 () (ite @t158 @t157 @t149)) % 45.43/45.75 (define @t160 () (- @t6)) % 45.43/45.75 (define @t161 () (<= @t95 @t160)) % 45.43/45.75 (define @t162 () (<= @t95 @t6)) % 45.43/45.75 (define @t163 () (ite @t129 (> @t95 @t6) (> @t95 @t160))) % 45.43/45.75 (define @t164 () (<= 1/1 @t160)) % 45.43/45.75 (define @t165 () (ite @t129 (> 1/1 @t6) (> 1/1 @t160))) % 45.43/45.75 (define @t166 () (>= 1/1 0/1)) % 45.43/45.75 (define @t167 () (ite @t166 @t165 @t163)) % 45.43/45.75 (define @t168 () (and @t167 @t136)) % 45.43/45.75 (define @t169 () (abs @t13)) % 45.43/45.75 (define @t170 () (+ (* -1/1 @t105) @t169)) % 45.43/45.75 (define @t171 () (>= @t169 @t105)) % 45.43/45.75 (define @t172 () (<= @t101 @t104)) % 45.43/45.75 (define @t173 () (not @t155)) % 45.43/45.75 (define @t174 () (ite @t120 @t173 (not @t151))) % 45.43/45.75 (define @t175 () (ite @t158 @t174 (ite @t120 (not @t147) @t56))) % 45.43/45.75 (define @t176 () (>= 0/1 @t54)) % 45.43/45.75 (define @t177 () (> @t54 0/1)) % 45.43/45.75 (define @t178 () (+ @t35 0/1 @t35)) % 45.43/45.75 (define @t179 () (+ @t66 @t19 @t65)) % 45.43/45.75 (define @t180 () (>= @t179 @t178)) % 45.43/45.75 (define @t181 () (and @t16 @t28 @t173)) % 45.43/45.75 (define @t182 () (not @t174)) % 45.43/45.75 (define @t183 () (not @t158)) % 45.43/45.75 (define @t184 () (< tptp.w 0/1)) % 45.43/45.75 (define @t185 () (and @t183 @t26)) % 45.43/45.75 (assume @p1 @t3) % 45.43/45.75 (assume @p2 (< tptp.u tptp.v)) % 45.43/45.75 (assume @p3 @t4) % 45.43/45.75 (assume @p4 @t9) % 45.43/45.75 (assume @p5 true) % 45.43/45.75 (step @p6 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 tptp.w)) (* -1/1 (- @t10 0/1))))) % 45.43/45.75 (step @p7 :rule arith_poly_norm_rel :premises (@p6) :args ((= @t12 @t11))) % 45.43/45.75 (step @p8 :rule arith-elim-leq :args (tptp.w 0/1)) % 45.43/45.75 (step @p9 :rule trans :premises (@p8 @p7)) % 45.43/45.75 (step @p10 :rule cong :premises (@p9) :args ((not (<= tptp.w 0/1)))) % 45.43/45.75 (step @p11 :rule symm :premises (@p8)) % 45.43/45.75 (step @p12 :rule cong :premises (@p11) :args ((not @t12))) % 45.43/45.75 (step @p13 :rule arith-elim-gt :args (tptp.w 0/1)) % 45.43/45.75 (step @p14 :rule trans :premises (@p13 @p12)) % 45.43/45.75 (step @p15 :rule trans :premises (@p14 @p10)) % 45.43/45.75 (step @p16 :rule eq_resolve :premises (@p3 @p15)) % 45.43/45.75 (step @p17 :rule bool-double-not-elim :args (@t16)) % 45.43/45.75 (step @p18 :rule arith_poly_norm :args ((= (* 1/1 (- @t17 @t5)) (* 1/1 (- @t15 0/1))))) % 45.43/45.75 (step @p19 :rule arith_poly_norm_rel :premises (@p18) :args ((= (>= @t17 @t5) @t16))) % 45.43/45.75 (step @p20 :rule refl :args (@t5)) % 45.43/45.75 (step @p21 :rule arith_poly_norm :args ((= @t7 @t13))) % 45.43/45.75 (step @p22 :rule refl :args (tptp.u)) % 45.43/45.75 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t8)) % 45.43/45.75 (step @p24 :rule cong :premises (@p23 @p20) :args (@t18)) % 45.43/45.75 (step @p25 :rule trans :premises (@p24 @p19)) % 45.43/45.75 (step @p26 :rule cong :premises (@p25) :args ((not @t18))) % 45.43/45.75 (step @p27 :rule arith-elim-lt :args (@t8 @t5)) % 45.43/45.75 (step @p28 :rule trans :premises (@p27 @p26)) % 45.43/45.75 (step @p29 :rule cong :premises (@p28) :args (@t9)) % 45.43/45.75 (step @p30 :rule trans :premises (@p29 @p17)) % 45.43/45.75 (step @p31 :rule eq_resolve :premises (@p4 @p30)) % 45.43/45.75 (step @p32 :rule arith_poly_norm :args ((= (* 1/1 (- tptp.u tptp.v)) (* 1/1 (- @t19 0/1))))) % 45.43/45.75 (step @p33 :rule arith_poly_norm_rel :premises (@p32) :args ((= @t21 @t20))) % 45.43/45.75 (step @p34 :rule cong :premises (@p33) :args ((not @t21))) % 45.43/45.75 (step @p35 :rule arith-elim-lt :args (tptp.u tptp.v)) % 45.43/45.75 (step @p36 :rule trans :premises (@p35 @p34)) % 45.43/45.75 (step @p37 :rule eq_resolve :premises (@p2 @p36)) % 45.43/45.75 (step @p38 :rule refl :args (@t24)) % 45.43/45.75 (step @p39 :rule refl :args (@t25)) % 45.43/45.75 (step @p40 :rule bool-double-not-elim :args (@t11)) % 45.43/45.75 (step @p41 :rule bool-double-not-elim :args (@t20)) % 45.43/45.75 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39 @p38) :args ((or @t29 @t27 @t25 @t24))) % 45.43/45.75 (assume-push @p678 @t16) % 45.43/45.75 (assume-push @p679 @t23) % 45.43/45.75 (assume-push @p680 @t28) % 45.43/45.75 (assume-push @p681 @t26) % 45.43/45.75 (step @p47 :rule cong :premises (@p15) :args ((not @t4))) % 45.43/45.75 (step @p48 :rule trans :premises (@p47 @p40)) % 45.43/45.75 (step @p49 :rule symm :premises (@p48)) % 45.43/45.75 (step @p50 :rule trans :premises (@p9 @p49)) % 45.43/45.75 (step @p51 :rule symm :premises (@p9)) % 45.43/45.75 (step @p52 :rule trans :premises (@p48 @p51)) % 45.43/45.75 (assume-push @p682 @t4) % 45.43/45.75 (step @p54 :rule evaluate :args (@t30)) % 45.43/45.75 (step @p55 :rule evaluate :args (@t31)) % 45.43/45.75 (step @p56 :rule evaluate :args (@t32)) % 45.43/45.75 (step @p57 :rule evaluate :args (@t33)) % 45.43/45.75 (step @p58 :rule evaluate :args (@t34)) % 45.43/45.75 (step @p59 :rule evaluate :args (@t35)) % 45.43/45.75 (step @p60 :rule nary_cong :premises (@p59 @p58 @p58 @p57) :args (@t36)) % 45.43/45.75 (step @p61 :rule trans :premises (@p60 @p56)) % 45.43/45.75 (step @p62 :rule arith_poly_norm :args ((= (+ @t10 @t40 @t39 @t38) 0/1))) % 45.43/45.75 (step @p63 :rule arith_poly_norm :args ((= @t41 @t38))) % 45.43/45.75 (step @p64 :rule arith_poly_norm :args ((= @t43 @t39))) % 45.43/45.75 (step @p65 :rule arith_poly_norm :args ((= @t44 @t40))) % 45.43/45.75 (step @p66 :rule refl :args (@t10)) % 45.43/45.75 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64 @p63) :args (@t45)) % 45.43/45.75 (step @p68 :rule trans :premises (@p67 @p62)) % 45.43/45.75 (step @p69 :rule cong :premises (@p68 @p61) :args (@t46)) % 45.43/45.75 (step @p70 :rule trans :premises (@p69 @p55)) % 45.43/45.75 (step @p71 :rule cong :premises (@p70) :args ((not @t46))) % 45.43/45.75 (step @p72 :rule trans :premises (@p71 @p54)) % 45.43/45.75 (step @p73 :rule arith-elim-lt :args (@t45 @t36)) % 45.43/45.75 (step @p74 :rule trans :premises (@p73 @p72)) % 45.43/45.75 (step @p75 :rule arith_mult_neg :args (-1/2 @t16)) % 45.43/45.75 (step @p76 :rule evaluate :args ((< -1/2 0/1))) % 45.43/45.75 (step @p77 :rule true_elim :premises (@p76)) % 45.43/45.75 (step @p78 :rule and_intro :premises (@p77 @p31)) % 45.43/45.75 (step @p79 :rule modus_ponens :premises (@p78 @p75)) % 45.43/45.75 (step @p80 :rule arith_mult_pos :args (1/2 @t47)) % 45.43/45.75 (step @p81 :rule arith_poly_norm :args ((= @t49 @t48))) % 45.43/45.75 (step @p82 :rule arith_poly_norm_rel :premises (@p81) :args ((= @t47 @t23))) % 45.43/45.75 (step @p83 :rule symm :premises (@p82)) % 45.43/45.75 (step @p84 :rule eq_resolve :premises (@p679 @p83)) % 45.43/45.75 (step @p85 :rule evaluate :args ((> 1/2 0/1))) % 45.43/45.75 (step @p86 :rule true_elim :premises (@p85)) % 45.43/45.75 (step @p87 :rule and_intro :premises (@p86 @p84)) % 45.43/45.75 (step @p88 :rule modus_ponens :premises (@p87 @p80)) % 45.43/45.75 (step @p89 :rule arith_mult_pos :args (1/2 (< @t19 0/1))) % 45.43/45.75 (step @p90 :rule arith-elim-lt :args (@t19 0/1)) % 45.43/45.75 (step @p91 :rule symm :premises (@p90)) % 45.43/45.75 (step @p92 :rule eq_resolve :premises (@p37 @p91)) % 45.43/45.75 (step @p93 :rule and_intro :premises (@p86 @p92)) % 45.43/45.75 (step 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:args (@t164)) % 45.43/45.75 (step @p520 :rule trans :premises (@p519 @p517)) % 45.43/45.75 (step @p521 :rule cong :premises (@p520) :args ((not @t164))) % 45.43/45.75 (step @p522 :rule arith-elim-leq :args (1/1 @t160)) % 45.43/45.75 (step @p523 :rule symm :premises (@p522)) % 45.43/45.75 (step @p524 :rule cong :premises (@p523) :args ((not (>= @t160 1/1)))) % 45.43/45.75 (step @p525 :rule arith-elim-gt :args (1/1 @t160)) % 45.43/45.75 (step @p526 :rule trans :premises (@p525 @p524)) % 45.43/45.75 (step @p527 :rule trans :premises (@p526 @p521)) % 45.43/45.75 (step @p528 :rule arith-elim-leq :args (1/1 @t6)) % 45.43/45.75 (step @p529 :rule cong :premises (@p528) :args ((not (<= 1/1 @t6)))) % 45.43/45.75 (step @p530 :rule arith-elim-leq :args (1/1 @t6)) % 45.43/45.75 (step @p531 :rule symm :premises (@p530)) % 45.43/45.75 (step @p532 :rule cong :premises (@p531) :args (@t110)) % 45.43/45.75 (step @p533 :rule arith-elim-gt :args (1/1 @t6)) % 45.43/45.75 (step @p534 :rule trans :premises (@p533 @p532)) % 45.43/45.75 (step @p535 :rule trans :premises (@p534 @p529)) % 45.43/45.75 (step @p536 :rule cong :premises (@p515 @p535 @p527) :args (@t165)) % 45.43/45.75 (step @p537 :rule evaluate :args (@t166)) % 45.43/45.75 (step @p538 :rule cong :premises (@p537 @p536 @p516) :args (@t167)) % 45.43/45.75 (step @p539 :rule trans :premises (@p538 @p493)) % 45.43/45.75 (step @p540 :rule nary_cong :premises (@p539 @p397) :args (@t168)) % 45.43/45.75 (step @p541 :rule cong :premises (@p540 @p492) :args ((=> @t168 @t159))) % 45.43/45.75 (assume-push @p760 @t167) % 45.43/45.75 (assume-push @p761 @t136) % 45.43/45.75 (step @p544 :rule arith-abs-real-gt :args (tptp.w @t13)) % 45.43/45.75 (step @p545 :rule arith_poly_norm :args ((= (* -1/1 (- @t169 @t105)) (* -1/1 (- @t170 0/1))))) % 45.43/45.75 (step @p546 :rule arith_poly_norm_rel :premises (@p545) :args ((= @t171 (>= @t170 0/1)))) % 45.43/45.75 (step @p547 :rule arith-elim-leq :args (@t105 @t169)) % 45.43/45.75 (step @p548 :rule trans :premises (@p547 @p546)) % 45.43/45.75 (step @p549 :rule cong :premises (@p548) :args ((not (<= @t105 @t169)))) % 45.43/45.75 (step @p550 :rule symm :premises (@p547)) % 45.43/45.75 (step @p551 :rule cong :premises (@p550) :args ((not @t171))) % 45.43/45.75 (step @p552 :rule arith-elim-gt :args (@t105 @t169)) % 45.43/45.75 (step @p553 :rule trans :premises (@p552 @p551)) % 45.43/45.75 (step @p554 :rule trans :premises (@p553 @p549)) % 45.43/45.75 (step @p555 :rule symm :premises (@p554)) % 45.43/45.75 (step @p240 :rule arith_poly_norm :args (@t103)) % 45.43/45.75 (step @p241 :rule cong :premises (@p240) :args (@t104)) % 45.43/45.75 (step @p238 :rule arith_poly_norm :args (@t100)) % 45.43/45.75 (step @p239 :rule cong :premises (@p238) :args (@t101)) % 45.43/45.75 (step @p556 :rule cong :premises (@p239 @p241) :args (@t172)) % 45.43/45.75 (step @p557 :rule trans :premises (@p556 @p548)) % 45.43/45.75 (step @p558 :rule cong :premises (@p557) :args ((not @t172))) % 45.43/45.75 (step @p559 :rule arith-elim-leq :args (@t101 @t104)) % 45.43/45.75 (step @p560 :rule symm :premises (@p559)) % 45.43/45.75 (step @p561 :rule cong :premises (@p560) :args ((not (>= @t104 @t101)))) % 45.43/45.75 (step @p562 :rule arith-elim-gt :args (@t101 @t104)) % 45.43/45.75 (step @p563 :rule trans :premises (@p562 @p561)) % 45.43/45.75 (step @p564 :rule trans :premises (@p563 @p558)) % 45.43/45.75 (step @p565 :rule trans :premises (@p564 @p555)) % 45.43/45.75 (step @p243 :rule refl :args (@t105)) % 45.43/45.75 (step @p566 :rule and_intro :premises (@p243 @p761)) % 45.43/45.75 (step @p567 :rule arith-abs-real-gt :args (1/1 @t6)) % 45.43/45.75 (step @p568 :rule symm :premises (@p567)) % 45.43/45.75 (step @p569 :rule eq_resolve :premises (@p760 @p568)) % 45.43/45.75 (step @p570 :rule arith_mult_abs_comparison :premises (@p569 @p566)) % 45.43/45.75 (step @p571 :rule eq_resolve :premises (@p570 @p565)) % 45.43/45.75 (step @p572 :rule eq_resolve :premises (@p571 @p544)) % 45.43/45.75 (step-pop @p762 :rule scope :premises (@p572)) % 45.43/45.75 (step-pop @p763 :rule scope :premises (@p762)) % 45.43/45.75 (step @p573 :rule process_scope :premises (@p763) :args (@t159)) % 45.43/45.75 (step @p576 :rule eq_resolve :premises (@p573 @p541)) % 45.43/45.75 (step @p577 :rule implies_elim :premises (@p576)) % 45.43/45.75 (step @p578 :rule reordering :premises (@p577) :args ((or @t175 (not @t144)))) % 45.43/45.75 (step @p579 :rule chain_m_resolution :premises (@p578 @p437) :args (@t175 @t133 (@list @t144))) % 45.43/45.75 (step @p580 :rule bool-double-not-elim :args (@t155)) % 45.43/45.75 (step @p581 :rule nary_cong :premises (@p41 @p39 @p580) :args ((or @t29 @t25 (not @t173)))) % 45.43/45.75 (assume-push @p764 @t16) % 45.43/45.75 (assume-push @p765 @t28) % 45.43/45.75 (assume-push @p766 @t173) % 45.43/45.75 (step @p585 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t54)) @t154))) % 45.43/45.75 (step @p586 :rule arith_poly_norm_rel :premises (@p585) :args ((= @t176 @t155))) % 45.43/45.75 (step @p587 :rule arith-elim-leq :args (@t54 0/1)) % 45.43/45.75 (step @p588 :rule trans :premises (@p587 @p586)) % 45.43/45.75 (step @p589 :rule cong :premises (@p588) :args ((not (<= @t54 0/1)))) % 45.43/45.75 (step @p590 :rule symm :premises (@p587)) % 45.43/45.75 (step @p591 :rule cong :premises (@p590) :args ((not @t176))) % 45.43/45.75 (step @p592 :rule arith-elim-gt :args (@t54 0/1)) % 45.43/45.75 (step @p593 :rule trans :premises (@p592 @p591)) % 45.43/45.75 (step @p594 :rule trans :premises (@p593 @p589)) % 45.43/45.75 (step @p595 :rule cong :premises (@p594) :args ((not @t177))) % 45.43/45.75 (step @p596 :rule trans :premises (@p595 @p580)) % 45.43/45.75 (step @p597 :rule symm :premises (@p596)) % 45.43/45.75 (step @p598 :rule trans :premises (@p588 @p597)) % 45.43/45.75 (step @p599 :rule symm :premises (@p588)) % 45.43/45.75 (step @p600 :rule trans :premises (@p596 @p599)) % 45.43/45.75 (assume-push @p767 @t177) % 45.43/45.75 (step @p54 :rule evaluate :args (@t30)) % 45.43/45.75 (step @p55 :rule evaluate :args (@t31)) % 45.43/45.75 (step @p132 :rule evaluate :args (@t57)) % 45.43/45.75 (step @p59 :rule evaluate :args (@t35)) % 45.43/45.75 (step @p133 :rule refl :args (0/1)) % 45.43/45.75 (step @p602 :rule nary_cong :premises (@p59 @p133 @p59) :args (@t178)) % 45.43/45.75 (step @p603 :rule trans :premises (@p602 @p132)) % 45.43/45.75 (step @p136 :rule arith_poly_norm :args (@t59)) % 45.43/45.75 (step @p137 :rule arith_poly_norm :args (@t61)) % 45.43/45.75 (step @p138 :rule refl :args (@t10)) % 45.43/45.75 (step @p139 :rule arith_poly_norm :args (@t63)) % 45.43/45.75 (step @p141 :rule refl :args (@t22)) % 45.43/45.75 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140 @p139 @p138 @p137) :args (@t64)) % 45.43/45.75 (step @p144 :rule trans :premises (@p143 @p136)) % 45.43/45.75 (step @p604 :rule arith_poly_norm :args ((= @t179 @t64))) % 45.43/45.75 (step @p605 :rule trans :premises (@p604 @p144)) % 45.43/45.75 (step @p606 :rule cong :premises (@p605 @p603) :args (@t180)) % 45.43/45.75 (step @p607 :rule trans :premises (@p606 @p55)) % 45.43/45.75 (step @p608 :rule cong :premises (@p607) :args ((not @t180))) % 45.43/45.75 (step @p609 :rule trans :premises (@p608 @p54)) % 45.43/45.75 (step @p610 :rule arith-elim-lt :args (@t179 @t178)) % 45.43/45.75 (step @p611 :rule trans :premises (@p610 @p609)) % 45.43/45.75 (step @p153 :rule arith_mult_neg :args (-1/1 @t16)) % 45.43/45.75 (step @p96 :rule evaluate :args (@t50)) % 45.43/45.75 (step @p97 :rule true_elim :premises (@p96)) % 45.43/45.75 (step @p154 :rule and_intro :premises (@p97 @p31)) % 45.43/45.75 (step @p155 :rule modus_ponens :premises (@p154 @p153)) % 45.43/45.75 (step @p90 :rule arith-elim-lt :args (@t19 0/1)) % 45.43/45.75 (step @p91 :rule symm :premises (@p90)) % 45.43/45.75 (step @p92 :rule eq_resolve :premises (@p37 @p91)) % 45.43/45.75 (step @p612 :rule arith_mult_neg :args (-1/1 @t177)) % 45.43/45.75 (step @p613 :rule and_intro :premises (@p97 @p767)) % 45.43/45.75 (step @p614 :rule modus_ponens :premises (@p613 @p612)) % 45.43/45.75 (step @p615 :rule arith_sum_ub :premises (@p614 @p92 @p155)) % 45.43/45.75 (step @p616 false :rule eq_resolve :premises (@p615 @p611)) % 45.43/45.75 (step-pop @p768 :rule scope :premises (@p616)) % 45.43/45.75 (step @p617 :rule process_scope :premises (@p768) :args (false)) % 45.43/45.75 (step @p619 :rule eq_resolve :premises (@p617 @p600)) % 45.43/45.75 (step @p620 :rule eq_resolve :premises (@p619 @p598)) % 45.43/45.75 (step @p621 :rule symm :premises (@p594)) % 45.43/45.75 (step @p622 :rule eq_resolve :premises (@p766 @p621)) % 45.43/45.75 (step @p623 false :rule contra :premises (@p622 @p620)) % 45.43/45.75 (step-pop @p769 :rule scope :premises (@p623)) % 45.43/45.75 (step-pop @p770 :rule scope :premises (@p769)) % 45.43/45.75 (step-pop @p771 :rule scope :premises (@p770)) % 45.43/45.75 (step @p624 :rule process_scope :premises (@p771) :args (false)) % 45.43/45.75 (assume-push @p772 @t28) % 45.43/45.75 (assume-push @p773 @t16) % 45.43/45.75 (assume-push @p774 @t173) % 45.43/45.75 (step @p631 :rule and_intro :premises (@p31 @p37 @p774)) % 45.43/45.75 (step-pop @p775 :rule scope :premises (@p631)) % 45.43/45.75 (step-pop @p776 :rule scope :premises (@p775)) % 45.43/45.75 (step-pop @p777 :rule scope :premises (@p776)) % 45.43/45.75 (step @p632 :rule process_scope :premises (@p777) :args (@t181)) % 45.43/45.75 (step @p636 :rule implies_elim :premises (@p632)) % 45.43/45.75 (step @p637 :rule resolution :premises (@p636 @p624) :args (true @t181)) % 45.43/45.75 (step @p638 :rule not_and :premises (@p637)) % 45.43/45.75 (step @p639 :rule eq_resolve :premises (@p638 @p581)) % 45.43/45.75 (step @p640 :rule chain_m_resolution :premises (@p639 @p37 @p31) :args (@t155 @t69 @t70)) % 45.43/45.75 (step @p641 :rule cnf_ite_pos1 :args (@t174)) % 45.43/45.75 (step @p642 :rule reordering :premises (@p641) :args ((or @t121 @t173 @t182))) % 45.43/45.75 (step @p643 :rule chain_m_resolution :premises (@p642 @p373 @p640) :args (@t182 (@list false false) (@list @t120 @t155))) % 45.43/45.75 (step @p644 :rule cnf_ite_pos1 :args (@t175)) % 45.43/45.75 (step @p645 :rule reordering :premises (@p644) :args ((or @t174 @t183 (not @t175)))) % 45.43/45.75 (step @p646 :rule chain_m_resolution :premises (@p645 @p643 @p579) :args (@t183 @t69 (@list @t174 @t175))) % 45.43/45.75 (step @p647 :rule bool-double-not-elim :args (@t158)) % 45.43/45.75 (step @p648 :rule nary_cong :premises (@p40 @p647) :args ((or @t27 (not @t183)))) % 45.43/45.75 (assume-push @p778 @t183) % 45.43/45.75 (assume-push @p779 @t26) % 45.43/45.75 (step @p651 :rule arith-elim-lt :args (tptp.w 0/1)) % 45.43/45.75 (step @p652 :rule symm :premises (@p651)) % 45.43/45.75 (step @p653 :rule eq_resolve :premises (@p778 @p652)) % 45.43/45.75 (step @p654 :rule eq_resolve :premises (@p653 @p651)) % 45.43/45.75 (step @p655 :rule cong :premises (@p651) :args ((not @t184))) % 45.43/45.75 (step @p656 :rule trans :premises (@p655 @p647)) % 45.43/45.75 (assume-push @p780 @t184) % 45.43/45.75 (step @p54 :rule evaluate :args (@t30)) % 45.43/45.75 (step @p55 :rule evaluate :args (@t31)) % 45.43/45.75 (step @p175 :rule evaluate :args (@t74)) % 45.43/45.75 (step @p59 :rule evaluate :args (@t35)) % 45.43/45.75 (step @p133 :rule refl :args (0/1)) % 45.43/45.75 (step @p402 :rule nary_cong :premises (@p133 @p59) :args (@t137)) % 45.43/45.75 (step @p403 :rule trans :premises (@p402 @p175)) % 45.43/45.75 (step @p404 :rule arith_poly_norm :args (@t139)) % 45.43/45.75 (step @p405 :rule cong :premises (@p404 @p403) :args (@t140)) % 45.43/45.75 (step @p406 :rule trans :premises (@p405 @p55)) % 45.43/45.75 (step @p407 :rule cong :premises (@p406) :args (@t141)) % 45.43/45.75 (step @p408 :rule trans :premises (@p407 @p54)) % 45.43/45.75 (step @p409 :rule arith-elim-lt :args (@t138 @t137)) % 45.43/45.75 (step @p410 :rule trans :premises (@p409 @p408)) % 45.43/45.75 (step @p95 :rule arith_mult_neg :args (-1/1 @t4)) % 45.43/45.75 (step @p96 :rule evaluate :args (@t50)) % 45.43/45.75 (step @p97 :rule true_elim :premises (@p96)) % 45.43/45.75 (step @p98 :rule and_intro :premises (@p97 @p3)) % 45.43/45.75 (step @p99 :rule modus_ponens :premises (@p98 @p95)) % 45.43/45.75 (step @p658 :rule arith_sum_ub :premises (@p780 @p99)) % 45.43/45.75 (step @p659 false :rule eq_resolve :premises (@p658 @p410)) % 45.43/45.75 (step-pop @p781 :rule scope :premises (@p659)) % 45.43/45.75 (step @p660 :rule process_scope :premises (@p781) :args (false)) % 45.43/45.75 (step @p662 :rule eq_resolve :premises (@p660 @p656)) % 45.43/45.75 (step @p663 false :rule contra :premises (@p662 @p654)) % 45.43/45.75 (step-pop @p782 :rule scope :premises (@p663)) % 45.43/45.75 (step-pop @p783 :rule scope :premises (@p782)) % 45.43/45.75 (step @p664 :rule process_scope :premises (@p783) :args (false)) % 45.43/45.75 (assume-push @p784 @t26) % 45.43/45.75 (assume-push @p785 @t183) % 45.43/45.75 (step @p669 :rule and_intro :premises (@p785 @p16)) % 45.43/45.75 (step-pop @p786 :rule scope :premises (@p669)) % 45.43/45.75 (step-pop @p787 :rule scope :premises (@p786)) % 45.43/45.75 (step @p670 :rule process_scope :premises (@p787) :args (@t185)) % 45.43/45.75 (step @p673 :rule implies_elim :premises (@p670)) % 45.43/45.75 (step @p674 :rule resolution :premises (@p673 @p664) :args (true @t185)) % 45.43/45.75 (step @p675 :rule not_and :premises (@p674)) % 45.43/45.75 (step @p676 :rule eq_resolve :premises (@p675 @p648)) % 45.43/45.75 (step @p677 false :rule chain_m_resolution :premises (@p676 @p646 @p16) :args (false @t88 (@list @t158 @t11))) % 45.43/45.75 ) % 45.43/45.75 % SZS output end Proof % 45.43/45.75 % cvc5 exiting %------------------------------------------------------------------------------