%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI711_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 : n028.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 08:08:10 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI711_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:32:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.37/0.59 --- Run --finite-model-find --decision=internal at 45... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-const tptp.a Int) % 0.37/0.59 (declare-const tptp.b Int) % 0.37/0.59 (declare-const tptp.c Int) % 0.37/0.59 (define @t1 () (+ (+ (+ tptp.a tptp.b) tptp.c) 1)) % 0.37/0.59 (define @t2 () (* @t1 @t1)) % 0.37/0.59 (define @t3 () (* @t2 @t1)) % 0.37/0.59 (define @t4 () (* @t3 @t1)) % 0.37/0.59 (define @t5 () (= @t4 0)) % 0.37/0.59 (define @t6 () (* tptp.c tptp.c)) % 0.37/0.59 (define @t7 () (* @t6 tptp.c)) % 0.37/0.59 (define @t8 () (* @t7 tptp.b)) % 0.37/0.59 (define @t9 () (- 4)) % 0.37/0.59 (define @t10 () (* @t9 @t8)) % 0.37/0.59 (define @t11 () (* @t7 tptp.a)) % 0.37/0.59 (define @t12 () (* @t9 @t11)) % 0.37/0.59 (define @t13 () (* @t6 tptp.b)) % 0.37/0.59 (define @t14 () (* @t13 tptp.b)) % 0.37/0.59 (define @t15 () (- 6)) % 0.37/0.59 (define @t16 () (* @t15 @t14)) % 0.37/0.59 (define @t17 () (* @t13 tptp.a)) % 0.37/0.59 (define @t18 () (- 12)) % 0.37/0.59 (define @t19 () (* @t18 @t17)) % 0.37/0.59 (define @t20 () (* @t6 tptp.a)) % 0.37/0.59 (define @t21 () (* @t20 tptp.a)) % 0.37/0.59 (define @t22 () (* @t15 @t21)) % 0.37/0.59 (define @t23 () (* tptp.c tptp.b)) % 0.37/0.59 (define @t24 () (* @t23 tptp.b)) % 0.37/0.59 (define @t25 () (* @t24 tptp.b)) % 0.37/0.59 (define @t26 () (* @t9 @t25)) % 0.37/0.59 (define @t27 () (* @t24 tptp.a)) % 0.37/0.59 (define @t28 () (* @t18 @t27)) % 0.37/0.59 (define @t29 () (* @t23 tptp.a)) % 0.37/0.59 (define @t30 () (* @t29 tptp.a)) % 0.37/0.59 (define @t31 () (* @t18 @t30)) % 0.37/0.59 (define @t32 () (* tptp.c tptp.a)) % 0.37/0.59 (define @t33 () (* @t32 tptp.a)) % 0.37/0.59 (define @t34 () (* @t33 tptp.a)) % 0.37/0.59 (define @t35 () (* @t9 @t34)) % 0.37/0.59 (define @t36 () (* @t9 @t7)) % 0.37/0.59 (define @t37 () (* @t18 @t13)) % 0.37/0.59 (define @t38 () (* @t18 @t20)) % 0.37/0.59 (define @t39 () (* @t18 @t24)) % 0.37/0.59 (define @t40 () (- 24)) % 0.37/0.59 (define @t41 () (* @t40 @t29)) % 0.37/0.59 (define @t42 () (* @t18 @t33)) % 0.37/0.59 (define @t43 () (* @t15 @t6)) % 0.37/0.59 (define @t44 () (* @t18 @t23)) % 0.37/0.59 (define @t45 () (* @t18 @t32)) % 0.37/0.59 (define @t46 () (* 4 tptp.c)) % 0.37/0.59 (define @t47 () (* tptp.b tptp.b)) % 0.37/0.59 (define @t48 () (* @t47 tptp.b)) % 0.37/0.59 (define @t49 () (* @t48 tptp.b)) % 0.37/0.59 (define @t50 () (- 1)) % 0.37/0.59 (define @t51 () (* @t50 @t49)) % 0.37/0.59 (define @t52 () (* @t48 tptp.a)) % 0.37/0.59 (define @t53 () (* @t9 @t52)) % 0.37/0.59 (define @t54 () (* @t47 tptp.a)) % 0.37/0.59 (define @t55 () (* @t54 tptp.a)) % 0.37/0.59 (define @t56 () (* @t15 @t55)) % 0.37/0.59 (define @t57 () (* tptp.b tptp.a)) % 0.37/0.59 (define @t58 () (* @t57 tptp.a)) % 0.37/0.59 (define @t59 () (* @t58 tptp.a)) % 0.37/0.59 (define @t60 () (* @t9 @t59)) % 0.37/0.59 (define @t61 () (* @t9 @t48)) % 0.37/0.59 (define @t62 () (* @t18 @t54)) % 0.37/0.59 (define @t63 () (* @t18 @t58)) % 0.37/0.59 (define @t64 () (* @t15 @t47)) % 0.37/0.59 (define @t65 () (* @t18 @t57)) % 0.37/0.59 (define @t66 () (* 4 tptp.b)) % 0.37/0.59 (define @t67 () (* tptp.a tptp.a)) % 0.37/0.59 (define @t68 () (* @t67 tptp.a)) % 0.37/0.59 (define @t69 () (* @t68 tptp.a)) % 0.37/0.59 (define @t70 () (* @t50 @t69)) % 0.37/0.59 (define @t71 () (* @t9 @t68)) % 0.37/0.59 (define @t72 () (* @t15 @t67)) % 0.37/0.59 (define @t73 () (* 4 tptp.a)) % 0.37/0.59 (define @t74 () (* @t50 1)) % 0.37/0.59 (define @t75 () (- @t74 @t73)) % 0.37/0.59 (define @t76 () (+ (+ (+ @t75 @t72) @t71) @t70)) % 0.37/0.59 (define @t77 () (- @t76 @t66)) % 0.37/0.59 (define @t78 () (+ (+ (+ (+ (+ (+ (+ (+ (+ @t77 @t65) @t64) @t63) @t62) @t61) @t60) @t56) @t53) @t51)) % 0.37/0.59 (define @t79 () (- @t78 @t46)) % 0.37/0.59 (define @t80 () (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ (+ @t79 @t45) @t44) @t43) @t42) @t41) @t39) @t38) @t37) @t36) @t35) @t31) @t28) @t26) @t22) @t19) @t16) @t12) @t10)) % 0.37/0.59 (define @t81 () (* @t50 @t80)) % 0.37/0.59 (define @t82 () (* @t7 tptp.c)) % 0.37/0.59 (define @t83 () (+ @t82 @t81)) % 0.37/0.59 (define @t84 () (= @t83 0)) % 0.37/0.59 (define @t85 () (not @t84)) % 0.37/0.59 (define @t86 () (* tptp.c tptp.c tptp.c tptp.c)) % 0.37/0.59 (define @t87 () (* tptp.b tptp.c tptp.c tptp.c)) % 0.37/0.59 (define @t88 () (* -4 @t87)) % 0.37/0.59 (define @t89 () (* tptp.b tptp.b tptp.c tptp.c)) % 0.37/0.59 (define @t90 () (* -6 @t89)) % 0.37/0.59 (define @t91 () (* tptp.b tptp.b tptp.b tptp.c)) % 0.37/0.59 (define @t92 () (* -4 @t91)) % 0.37/0.59 (define @t93 () (* tptp.b tptp.b tptp.b tptp.b)) % 0.37/0.59 (define @t94 () (* -1 @t93)) % 0.37/0.59 (define @t95 () (* tptp.a tptp.c tptp.c tptp.c)) % 0.37/0.59 (define @t96 () (* -4 @t95)) % 0.37/0.59 (define @t97 () (* tptp.a tptp.b tptp.c tptp.c)) % 0.37/0.59 (define @t98 () (* -12 @t97)) % 0.37/0.59 (define @t99 () (* tptp.a tptp.b tptp.b tptp.c)) % 0.37/0.59 (define @t100 () (* -12 @t99)) % 0.37/0.59 (define @t101 () (* tptp.a tptp.b tptp.b tptp.b)) % 0.37/0.59 (define @t102 () (* -4 @t101)) % 0.37/0.59 (define @t103 () (* tptp.a tptp.a tptp.c tptp.c)) % 0.37/0.59 (define @t104 () (* -6 @t103)) % 0.37/0.59 (define @t105 () (* tptp.a tptp.a tptp.b tptp.c)) % 0.37/0.59 (define @t106 () (* -12 @t105)) % 0.37/0.59 (define @t107 () (* tptp.a tptp.a tptp.b tptp.b)) % 0.37/0.59 (define @t108 () (* -6 @t107)) % 0.37/0.59 (define @t109 () (* tptp.a tptp.a tptp.a tptp.c)) % 0.37/0.59 (define @t110 () (* -4 @t109)) % 0.37/0.59 (define @t111 () (* tptp.a tptp.a tptp.a tptp.b)) % 0.37/0.59 (define @t112 () (* -4 @t111)) % 0.37/0.59 (define @t113 () (* tptp.c tptp.c tptp.c)) % 0.37/0.59 (define @t114 () (* -4 @t113)) % 0.37/0.59 (define @t115 () (* tptp.b tptp.c tptp.c)) % 0.37/0.59 (define @t116 () (* -12 @t115)) % 0.37/0.59 (define @t117 () (* tptp.b tptp.b tptp.c)) % 0.37/0.59 (define @t118 () (* -12 @t117)) % 0.37/0.59 (define @t119 () (* tptp.b tptp.b tptp.b)) % 0.37/0.59 (define @t120 () (* -4 @t119)) % 0.37/0.59 (define @t121 () (* tptp.a tptp.c tptp.c)) % 0.37/0.59 (define @t122 () (* -12 @t121)) % 0.37/0.59 (define @t123 () (* tptp.a tptp.b tptp.c)) % 0.37/0.59 (define @t124 () (* -24 @t123)) % 0.37/0.59 (define @t125 () (* tptp.a tptp.b tptp.b)) % 0.37/0.59 (define @t126 () (* -12 @t125)) % 0.37/0.59 (define @t127 () (* tptp.a tptp.a tptp.c)) % 0.37/0.59 (define @t128 () (* -12 @t127)) % 0.37/0.59 (define @t129 () (* tptp.a tptp.a tptp.b)) % 0.37/0.59 (define @t130 () (* -12 @t129)) % 0.37/0.59 (define @t131 () (* tptp.a tptp.a tptp.a)) % 0.37/0.59 (define @t132 () (* -4 @t131)) % 0.37/0.59 (define @t133 () (* tptp.c tptp.c)) % 0.37/0.59 (define @t134 () (* -6 @t133)) % 0.37/0.59 (define @t135 () (* tptp.b tptp.c)) % 0.37/0.59 (define @t136 () (* -12 @t135)) % 0.37/0.59 (define @t137 () (* tptp.b tptp.b)) % 0.37/0.59 (define @t138 () (* -6 @t137)) % 0.37/0.59 (define @t139 () (* tptp.a tptp.c)) % 0.37/0.59 (define @t140 () (* -12 @t139)) % 0.37/0.59 (define @t141 () (* tptp.a tptp.b)) % 0.37/0.59 (define @t142 () (* -12 @t141)) % 0.37/0.59 (define @t143 () (* tptp.a tptp.a)) % 0.37/0.59 (define @t144 () (* -6 @t143)) % 0.37/0.59 (define @t145 () (* -4 tptp.c)) % 0.37/0.59 (define @t146 () (* -4 tptp.b)) % 0.37/0.59 (define @t147 () (* -4 tptp.a)) % 0.37/0.59 (define @t148 () (+ -1 @t147 @t146 @t145 @t144 @t142 @t140 @t138 @t136 @t134 @t132 @t130 @t128 @t126 @t124 @t122 @t120 @t118 @t116 @t114 @t112 @t110 @t108 @t106 @t104 @t102 @t100 @t98 @t96 @t94 @t92 @t90 @t88 (* -1 @t86))) % 0.37/0.59 (define @t149 () (* tptp.a tptp.a tptp.a tptp.a)) % 0.37/0.59 (define @t150 () (* 4 @t87)) % 0.37/0.59 (define @t151 () (* 6 @t89)) % 0.37/0.59 (define @t152 () (* 4 @t91)) % 0.37/0.59 (define @t153 () (* 4 @t95)) % 0.37/0.59 (define @t154 () (* 12 @t97)) % 0.37/0.59 (define @t155 () (* 12 @t99)) % 0.37/0.59 (define @t156 () (* 4 @t101)) % 0.37/0.59 (define @t157 () (* 6 @t103)) % 0.37/0.59 (define @t158 () (* 12 @t105)) % 0.37/0.59 (define @t159 () (* 6 @t107)) % 0.37/0.59 (define @t160 () (* 4 @t109)) % 0.37/0.59 (define @t161 () (* 4 @t111)) % 0.37/0.59 (define @t162 () (* 4 @t113)) % 0.37/0.59 (define @t163 () (* 12 @t115)) % 0.37/0.59 (define @t164 () (* 12 @t117)) % 0.37/0.59 (define @t165 () (* 4 @t119)) % 0.37/0.59 (define @t166 () (* 12 @t121)) % 0.37/0.59 (define @t167 () (* 24 @t123)) % 0.37/0.59 (define @t168 () (* 12 @t125)) % 0.37/0.59 (define @t169 () (* 12 @t127)) % 0.37/0.59 (define @t170 () (* 12 @t129)) % 0.37/0.59 (define @t171 () (* 4 @t131)) % 0.37/0.59 (define @t172 () (* 6 @t133)) % 0.37/0.59 (define @t173 () (* 12 @t135)) % 0.37/0.59 (define @t174 () (* 6 @t137)) % 0.37/0.59 (define @t175 () (* 12 @t139)) % 0.37/0.59 (define @t176 () (* 12 @t141)) % 0.37/0.59 (define @t177 () (* 6 @t143)) % 0.37/0.59 (define @t178 () (+ 1 @t73 @t66 @t46 @t177 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t149 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t154 @t153 @t93 @t152 @t151 @t150 @t86)) % 0.37/0.59 (define @t179 () (+ 1 @t73 @t66 @t46 @t177 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t149 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t154 @t153 @t93 @t152 @t151 @t150)) % 0.37/0.59 (define @t180 () (* -1 @t149)) % 0.37/0.59 (define @t181 () (+ -1 @t147 @t146 @t145 @t144 @t142 @t140 @t138 @t136 @t134 @t132 @t130 @t128 @t126 @t124 @t122 @t120 @t118 @t116 @t114 @t180 @t112 @t110 @t108 @t106 @t104 @t102 @t100 @t98 @t96 @t94 @t92 @t90 @t88)) % 0.37/0.59 (define @t182 () (+ -1 @t147 @t146 @t145 @t144 @t142 @t138 @t132 @t130 @t126 @t120 @t180 @t112 @t108 @t102 @t94)) % 0.37/0.59 (define @t183 () (+ -1 @t147 @t146 @t144 @t132 @t180)) % 0.37/0.59 (define @t184 () (* -1 @t73)) % 0.37/0.59 (define @t185 () (+ @t74 @t184)) % 0.37/0.59 (define @t186 () (+ @t146 @t70 @t71 @t72 @t75)) % 0.37/0.59 (define @t187 () (+ @t76 (* -1 @t66))) % 0.37/0.59 (define @t188 () (+ @t145 @t51 @t53 @t56 @t60 @t61 @t62 @t63 @t64 @t65 @t77)) % 0.37/0.59 (define @t189 () (+ @t78 (* -1 @t46))) % 0.37/0.59 (define @t190 () (+ @t10 @t12 @t16 @t19 @t22 @t26 @t28 @t31 @t35 @t36 @t37 @t38 @t39 @t41 @t42 @t43 @t44 @t45 @t79)) % 0.37/0.59 (define @t191 () (+ 1 tptp.a tptp.b tptp.c)) % 0.37/0.59 (define @t192 () (+ 1 (* 3 tptp.a) (* 3 tptp.b) (* 3 tptp.c) (* 3 @t143) (* 6 @t141) (* 6 @t139) (* 3 @t137) (* 6 @t135) (* 3 @t133) @t131 (* 3 @t129) (* 3 @t127) (* 3 @t125) (* 6 @t123) (* 3 @t121) @t119 (* 3 @t117) (* 3 @t115) @t113)) % 0.37/0.59 (define @t193 () (+ tptp.c tptp.b tptp.a 1)) % 0.37/0.59 (define @t194 () (+ 1 (* 2 tptp.a) (* 2 tptp.b) (* 2 tptp.c) @t143 (* 2 @t141) (* 2 @t139) @t137 (* 2 @t135) @t133)) % 0.37/0.59 (assume @p1 @t5) % 0.37/0.59 (assume @p2 @t85) % 0.37/0.59 (assume @p3 true) % 0.37/0.59 (step @p4 :rule arith_poly_norm :args ((= (* 1 (- @t178 0)) (* 1 (- @t149 @t148))))) % 0.37/0.59 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= (= @t178 0) (= @t149 @t148)))) % 0.37/0.59 (step @p6 :rule refl :args (0)) % 0.37/0.59 (step @p7 :rule arith_poly_norm :args ((= (+ @t86 @t179) @t178))) % 0.37/0.59 (step @p8 :rule arith_poly_norm :args ((= (* -1 @t181) @t179))) % 0.37/0.59 (step @p9 :rule arith_poly_norm :args ((= (+ @t88 @t96 @t90 @t98 @t104 @t92 @t100 @t106 @t110 @t114 @t116 @t122 @t118 @t124 @t128 @t134 @t136 @t140 @t182) @t181))) % 0.37/0.59 (step @p10 :rule arith_poly_norm :args ((= (+ @t145 @t94 @t102 @t108 @t112 @t120 @t126 @t130 @t138 @t142 @t183) @t182))) % 0.37/0.59 (step @p11 :rule arith_poly_norm :args ((= (+ @t146 @t180 @t132 @t144 (+ -1 @t147)) @t183))) % 0.37/0.59 (step @p12 :rule arith_poly_norm :args ((= @t184 @t147))) % 0.37/0.59 (step @p13 :rule evaluate :args ((* -1 1))) % 0.37/0.59 (step @p14 :rule refl :args (1)) % 0.37/0.59 (step @p15 :rule evaluate :args (@t50)) % 0.37/0.59 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t74)) % 0.37/0.59 (step @p17 :rule trans :premises (@p16 @p13)) % 0.37/0.59 (step @p18 :rule nary_cong :premises (@p17 @p12) :args (@t185)) % 0.37/0.59 (step @p19 :rule arith_poly_norm :args ((= @t75 @t185))) % 0.37/0.59 (step @p20 :rule trans :premises (@p19 @p18)) % 0.37/0.59 (step @p21 :rule arith_poly_norm :args ((= @t67 @t143))) % 0.37/0.59 (step @p22 :rule evaluate :args (@t15)) % 0.37/0.59 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t72)) % 0.37/0.59 (step @p24 :rule arith_poly_norm :args ((= (* @t143 tptp.a) @t131))) % 0.37/0.59 (step @p25 :rule refl :args (tptp.a)) % 0.37/0.59 (step @p26 :rule nary_cong :premises (@p21 @p25) :args (@t68)) % 0.37/0.59 (step @p27 :rule trans :premises (@p26 @p24)) % 0.37/0.59 (step @p28 :rule evaluate :args (@t9)) % 0.37/0.59 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t71)) % 0.37/0.59 (step @p30 :rule arith_poly_norm :args ((= (* @t131 tptp.a) @t149))) % 0.37/0.59 (step @p31 :rule nary_cong :premises (@p27 @p25) :args (@t69)) % 0.37/0.59 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.59 (step @p33 :rule nary_cong :premises (@p15 @p32) :args (@t70)) % 0.37/0.59 (step @p34 :rule refl :args (@t146)) % 0.37/0.59 (step @p35 :rule nary_cong :premises (@p34 @p33 @p29 @p23 @p20) :args (@t186)) % 0.37/0.59 (step @p36 :rule trans :premises (@p35 @p11)) % 0.37/0.59 (step @p37 :rule arith_poly_norm :args ((= @t187 @t186))) % 0.37/0.59 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.59 (step @p39 :rule arith_poly_norm :args ((= @t77 @t187))) % 0.37/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.37/0.59 (step @p41 :rule arith_poly_norm :args ((= @t57 @t141))) % 0.37/0.59 (step @p42 :rule evaluate :args (@t18)) % 0.37/0.59 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t65)) % 0.37/0.59 (step @p44 :rule arith_poly_norm :args ((= @t47 @t137))) % 0.37/0.59 (step @p45 :rule nary_cong :premises (@p22 @p44) :args (@t64)) % 0.37/0.59 (step @p46 :rule arith_poly_norm :args ((= (* @t141 tptp.a) @t129))) % 0.37/0.59 (step @p47 :rule nary_cong :premises (@p41 @p25) :args (@t58)) % 0.37/0.59 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.59 (step @p49 :rule nary_cong :premises (@p42 @p48) :args (@t63)) % 0.37/0.59 (step @p50 :rule arith_poly_norm :args ((= (* @t137 tptp.a) @t125))) % 0.37/0.59 (step @p51 :rule nary_cong :premises (@p44 @p25) :args (@t54)) % 0.37/0.59 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.59 (step @p53 :rule nary_cong :premises (@p42 @p52) :args (@t62)) % 0.37/0.59 (step @p54 :rule arith_poly_norm :args ((= (* @t137 tptp.b) @t119))) % 0.37/0.59 (step @p55 :rule refl :args (tptp.b)) % 0.37/0.59 (step @p56 :rule nary_cong :premises (@p44 @p55) :args (@t48)) % 0.37/0.59 (step @p57 :rule trans :premises (@p56 @p54)) % 0.37/0.59 (step @p58 :rule nary_cong :premises (@p28 @p57) :args (@t61)) % 0.37/0.59 (step @p59 :rule arith_poly_norm :args ((= (* @t129 tptp.a) @t111))) % 0.37/0.59 (step @p60 :rule nary_cong :premises (@p48 @p25) :args (@t59)) % 0.37/0.59 (step @p61 :rule trans :premises (@p60 @p59)) % 0.37/0.59 (step @p62 :rule nary_cong :premises (@p28 @p61) :args (@t60)) % 0.37/0.59 (step @p63 :rule arith_poly_norm :args ((= (* @t125 tptp.a) @t107))) % 0.37/0.59 (step @p64 :rule nary_cong :premises (@p52 @p25) :args (@t55)) % 0.37/0.59 (step @p65 :rule trans :premises (@p64 @p63)) % 0.37/0.59 (step @p66 :rule nary_cong :premises (@p22 @p65) :args (@t56)) % 0.37/0.59 (step @p67 :rule arith_poly_norm :args ((= (* @t119 tptp.a) @t101))) % 0.37/0.59 (step @p68 :rule nary_cong :premises (@p57 @p25) :args (@t52)) % 0.37/0.59 (step @p69 :rule trans :premises (@p68 @p67)) % 0.37/0.59 (step @p70 :rule nary_cong :premises (@p28 @p69) :args (@t53)) % 0.37/0.59 (step @p71 :rule arith_poly_norm :args ((= (* @t119 tptp.b) @t93))) % 0.37/0.59 (step @p72 :rule nary_cong :premises (@p57 @p55) :args (@t49)) % 0.37/0.59 (step @p73 :rule trans :premises (@p72 @p71)) % 0.37/0.59 (step @p74 :rule nary_cong :premises (@p15 @p73) :args (@t51)) % 0.37/0.59 (step @p75 :rule refl :args (@t145)) % 0.37/0.59 (step @p76 :rule nary_cong :premises (@p75 @p74 @p70 @p66 @p62 @p58 @p53 @p49 @p45 @p43 @p40) :args (@t188)) % 0.37/0.59 (step @p77 :rule trans :premises (@p76 @p10)) % 0.37/0.59 (step @p78 :rule arith_poly_norm :args ((= @t189 @t188))) % 0.37/0.59 (step @p79 :rule trans :premises (@p78 @p77)) % 0.37/0.59 (step @p80 :rule arith_poly_norm :args ((= @t79 @t189))) % 0.37/0.59 (step @p81 :rule trans :premises (@p80 @p79)) % 0.37/0.59 (step @p82 :rule arith_poly_norm :args ((= @t32 @t139))) % 0.37/0.59 (step @p83 :rule nary_cong :premises (@p42 @p82) :args (@t45)) % 0.37/0.59 (step @p84 :rule arith_poly_norm :args ((= @t23 @t135))) % 0.37/0.59 (step @p85 :rule nary_cong :premises (@p42 @p84) :args (@t44)) % 0.37/0.59 (step @p86 :rule arith_poly_norm :args ((= @t6 @t133))) % 0.37/0.59 (step @p87 :rule nary_cong :premises (@p22 @p86) :args (@t43)) % 0.37/0.59 (step @p88 :rule arith_poly_norm :args ((= (* @t139 tptp.a) @t127))) % 0.37/0.59 (step @p89 :rule nary_cong :premises (@p82 @p25) :args (@t33)) % 0.37/0.59 (step @p90 :rule trans :premises (@p89 @p88)) % 0.37/0.59 (step @p91 :rule nary_cong :premises (@p42 @p90) :args (@t42)) % 0.37/0.59 (step @p92 :rule arith_poly_norm :args ((= (* @t135 tptp.a) @t123))) % 0.37/0.59 (step @p93 :rule nary_cong :premises (@p84 @p25) :args (@t29)) % 0.37/0.59 (step @p94 :rule trans :premises (@p93 @p92)) % 0.37/0.59 (step @p95 :rule evaluate :args (@t40)) % 0.37/0.59 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t41)) % 0.37/0.59 (step @p97 :rule arith_poly_norm :args ((= (* @t135 tptp.b) @t117))) % 0.37/0.59 (step @p98 :rule nary_cong :premises (@p84 @p55) :args (@t24)) % 0.37/0.59 (step @p99 :rule trans :premises (@p98 @p97)) % 0.37/0.59 (step @p100 :rule nary_cong :premises (@p42 @p99) :args (@t39)) % 0.37/0.59 (step @p101 :rule arith_poly_norm :args ((= (* @t133 tptp.a) @t121))) % 0.37/0.59 (step @p102 :rule nary_cong :premises (@p86 @p25) :args (@t20)) % 0.37/0.59 (step @p103 :rule trans :premises (@p102 @p101)) % 0.37/0.59 (step @p104 :rule nary_cong :premises (@p42 @p103) :args (@t38)) % 0.37/0.59 (step @p105 :rule arith_poly_norm :args ((= (* @t133 tptp.b) @t115))) % 0.37/0.59 (step @p106 :rule nary_cong :premises (@p86 @p55) :args (@t13)) % 0.37/0.59 (step @p107 :rule trans :premises (@p106 @p105)) % 0.37/0.59 (step @p108 :rule nary_cong :premises (@p42 @p107) :args (@t37)) % 0.37/0.59 (step @p109 :rule arith_poly_norm :args ((= (* @t133 tptp.c) @t113))) % 0.37/0.59 (step @p110 :rule refl :args (tptp.c)) % 0.37/0.59 (step @p111 :rule nary_cong :premises (@p86 @p110) :args (@t7)) % 0.37/0.59 (step @p112 :rule trans :premises (@p111 @p109)) % 0.37/0.59 (step @p113 :rule nary_cong :premises (@p28 @p112) :args (@t36)) % 0.37/0.59 (step @p114 :rule arith_poly_norm :args ((= (* @t127 tptp.a) @t109))) % 0.37/0.59 (step @p115 :rule nary_cong :premises (@p90 @p25) :args (@t34)) % 0.37/0.59 (step @p116 :rule trans :premises (@p115 @p114)) % 0.37/0.59 (step @p117 :rule nary_cong :premises (@p28 @p116) :args (@t35)) % 0.37/0.59 (step @p118 :rule arith_poly_norm :args ((= (* @t123 tptp.a) @t105))) % 0.37/0.59 (step @p119 :rule nary_cong :premises (@p94 @p25) :args (@t30)) % 0.37/0.59 (step @p120 :rule trans :premises (@p119 @p118)) % 0.37/0.59 (step @p121 :rule nary_cong :premises (@p42 @p120) :args (@t31)) % 0.37/0.59 (step @p122 :rule arith_poly_norm :args ((= (* @t117 tptp.a) @t99))) % 0.37/0.59 (step @p123 :rule nary_cong :premises (@p99 @p25) :args (@t27)) % 0.37/0.59 (step @p124 :rule trans :premises (@p123 @p122)) % 0.37/0.59 (step @p125 :rule nary_cong :premises (@p42 @p124) :args (@t28)) % 0.37/0.59 (step @p126 :rule arith_poly_norm :args ((= (* @t117 tptp.b) @t91))) % 0.37/0.59 (step @p127 :rule nary_cong :premises (@p99 @p55) :args (@t25)) % 0.37/0.59 (step @p128 :rule trans :premises (@p127 @p126)) % 0.37/0.59 (step @p129 :rule nary_cong :premises (@p28 @p128) :args (@t26)) % 0.37/0.59 (step @p130 :rule arith_poly_norm :args ((= (* @t121 tptp.a) @t103))) % 0.37/0.59 (step @p131 :rule nary_cong :premises (@p103 @p25) :args (@t21)) % 0.37/0.59 (step @p132 :rule trans :premises (@p131 @p130)) % 0.37/0.59 (step @p133 :rule nary_cong :premises (@p22 @p132) :args (@t22)) % 0.37/0.59 (step @p134 :rule arith_poly_norm :args ((= (* @t115 tptp.a) @t97))) % 0.37/0.59 (step @p135 :rule nary_cong :premises (@p107 @p25) :args (@t17)) % 0.37/0.59 (step @p136 :rule trans :premises (@p135 @p134)) % 0.37/0.59 (step @p137 :rule nary_cong :premises (@p42 @p136) :args (@t19)) % 0.37/0.59 (step @p138 :rule arith_poly_norm :args ((= (* @t115 tptp.b) @t89))) % 0.37/0.59 (step @p139 :rule nary_cong :premises (@p107 @p55) :args (@t14)) % 0.37/0.59 (step @p140 :rule trans :premises (@p139 @p138)) % 0.37/0.59 (step @p141 :rule nary_cong :premises (@p22 @p140) :args (@t16)) % 0.37/0.59 (step @p142 :rule arith_poly_norm :args ((= (* @t113 tptp.a) @t95))) % 0.37/0.59 (step @p143 :rule nary_cong :premises (@p112 @p25) :args (@t11)) % 0.37/0.59 (step @p144 :rule trans :premises (@p143 @p142)) % 0.37/0.59 (step @p145 :rule nary_cong :premises (@p28 @p144) :args (@t12)) % 0.37/0.59 (step @p146 :rule arith_poly_norm :args ((= (* @t113 tptp.b) @t87))) % 0.37/0.59 (step @p147 :rule nary_cong :premises (@p112 @p55) :args (@t8)) % 0.37/0.59 (step @p148 :rule trans :premises (@p147 @p146)) % 0.37/0.59 (step @p149 :rule nary_cong :premises (@p28 @p148) :args (@t10)) % 0.37/0.59 (step @p150 :rule nary_cong :premises (@p149 @p145 @p141 @p137 @p133 @p129 @p125 @p121 @p117 @p113 @p108 @p104 @p100 @p96 @p91 @p87 @p85 @p83 @p81) :args (@t190)) % 0.37/0.59 (step @p151 :rule trans :premises (@p150 @p9)) % 0.37/0.59 (step @p152 :rule arith_poly_norm :args ((= @t80 @t190))) % 0.37/0.59 (step @p153 :rule trans :premises (@p152 @p151)) % 0.37/0.59 (step @p154 :rule nary_cong :premises (@p15 @p153) :args (@t81)) % 0.37/0.59 (step @p155 :rule trans :premises (@p154 @p8)) % 0.37/0.59 (step @p156 :rule arith_poly_norm :args ((= (* @t113 tptp.c) @t86))) % 0.37/0.59 (step @p157 :rule nary_cong :premises (@p112 @p110) :args (@t82)) % 0.37/0.59 (step @p158 :rule trans :premises (@p157 @p156)) % 0.37/0.59 (step @p159 :rule nary_cong :premises (@p158 @p155) :args (@t83)) % 0.37/0.59 (step @p160 :rule trans :premises (@p159 @p7)) % 0.37/0.59 (step @p161 :rule cong :premises (@p160 @p6) :args (@t84)) % 0.37/0.59 (step @p162 :rule trans :premises (@p161 @p5)) % 0.37/0.59 (step @p163 :rule cong :premises (@p162) :args (@t85)) % 0.37/0.59 (step @p164 :rule eq_resolve :premises (@p2 @p163)) % 0.37/0.59 (step @p165 :rule arith_poly_norm :args ((= (* @t192 @t191) @t178))) % 0.37/0.59 (step @p166 :rule arith_poly_norm :args ((= @t193 @t191))) % 0.37/0.59 (step @p167 :rule arith_poly_norm :args ((= @t1 @t193))) % 0.37/0.59 (step @p168 :rule trans :premises (@p167 @p166)) % 0.37/0.59 (step @p169 :rule arith_poly_norm :args ((= (* @t194 @t191) @t192))) % 0.37/0.59 (step @p170 :rule arith_poly_norm :args ((= (* @t191 @t191) @t194))) % 0.37/0.59 (step @p171 :rule nary_cong :premises (@p168 @p168) :args (@t2)) % 0.37/0.59 (step @p172 :rule trans :premises (@p171 @p170)) % 0.37/0.59 (step @p173 :rule nary_cong :premises (@p172 @p168) :args (@t3)) % 0.37/0.59 (step @p174 :rule trans :premises (@p173 @p169)) % 0.37/0.59 (step @p175 :rule nary_cong :premises (@p174 @p168) :args (@t4)) % 0.37/0.59 (step @p176 :rule trans :premises (@p175 @p165)) % 0.37/0.59 (step @p177 :rule cong :premises (@p176 @p6) :args (@t5)) % 0.37/0.59 (step @p178 :rule trans :premises (@p177 @p5)) % 0.37/0.59 (step @p179 :rule eq_resolve :premises (@p1 @p178)) % 0.37/0.59 (step @p180 false :rule contra :premises (@p179 @p164)) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------