%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ031^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:44:01 AM UTC 2026 % Result : Theorem 3.22s 3.43s % Output : Proof 3.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : PUZ031^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n015.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 13:13:04 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 3.22/3.43 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 3.22/3.43 % SZS status Theorem % 3.22/3.43 % SZS output start Proof % 3.22/3.43 ( % 3.22/3.43 (declare-sort $$unsorted 0) % 3.22/3.43 (declare-const tptp.a_wolf $$unsorted) % 3.22/3.43 (declare-const tptp.a_fox $$unsorted) % 3.22/3.43 (declare-const tptp.a_bird $$unsorted) % 3.22/3.43 (declare-const tptp.a_caterpillar $$unsorted) % 3.22/3.43 (declare-const tptp.a_snail $$unsorted) % 3.22/3.43 (declare-const tptp.eats (-> $$unsorted $$unsorted Bool)) % 3.22/3.43 (declare-const tptp.msmaller (-> $$unsorted $$unsorted Bool)) % 3.22/3.43 (declare-const tptp.grain (-> $$unsorted Bool)) % 3.22/3.43 (declare-const tptp.animal (-> $$unsorted Bool)) % 3.22/3.43 (declare-const tptp.snail (-> $$unsorted Bool)) % 3.22/3.43 (declare-const tptp.sf (-> $$unsorted $$unsorted)) % 3.22/3.43 (declare-const tptp.plant (-> $$unsorted Bool)) % 3.22/3.43 (declare-const tptp.caterpillar (-> $$unsorted Bool)) % 3.22/3.43 (declare-const tptp.cf (-> $$unsorted $$unsorted)) % 3.22/3.43 (declare-const tptp.bird (-> $$unsorted Bool)) % 3.22/3.43 (declare-const tptp.wolf (-> $$unsorted Bool)) % 3.22/3.43 (declare-const tptp.fox (-> $$unsorted Bool)) % 3.22/3.43 (declare-const tptp.a_grain $$unsorted) % 3.22/3.43 (define @t1 () (@var "G" $$unsorted)) % 3.22/3.43 (define @t2 () (@var "E" $$unsorted)) % 3.22/3.43 (define @t3 () (_ (_ tptp.eats @t2) @t1)) % 3.22/3.43 (define @t4 () (not @t3)) % 3.22/3.43 (define @t5 () (@var "A" $$unsorted)) % 3.22/3.43 (define @t6 () (_ tptp.eats @t5)) % 3.22/3.43 (define @t7 () (_ @t6 @t2)) % 3.22/3.43 (define @t8 () (not @t7)) % 3.22/3.43 (define @t9 () (_ tptp.grain @t1)) % 3.22/3.43 (define @t10 () (not @t9)) % 3.22/3.43 (define @t11 () (_ tptp.animal @t2)) % 3.22/3.43 (define @t12 () (not @t11)) % 3.22/3.43 (define @t13 () (_ tptp.animal @t5)) % 3.22/3.43 (define @t14 () (not @t13)) % 3.22/3.43 (define @t15 () (or @t14 @t12 @t10 @t8 @t4)) % 3.22/3.43 (define @t16 () (@list @t5 @t2 @t1)) % 3.22/3.43 (define @t17 () (forall @t16 @t15)) % 3.22/3.43 (define @t18 () (@var "S" $$unsorted)) % 3.22/3.43 (define @t19 () (_ tptp.snail @t18)) % 3.22/3.43 (define @t20 () (not @t19)) % 3.22/3.43 (define @t21 () (_ tptp.sf @t18)) % 3.22/3.43 (define @t22 () (_ tptp.eats @t18)) % 3.22/3.43 (define @t23 () (_ @t22 @t21)) % 3.22/3.43 (define @t24 () (or @t23 @t20)) % 3.22/3.43 (define @t25 () (@list @t18)) % 3.22/3.43 (define @t26 () (forall @t25 @t24)) % 3.22/3.43 (define @t27 () (_ tptp.plant @t21)) % 3.22/3.43 (define @t28 () (or @t27 @t20)) % 3.22/3.43 (define @t29 () (forall @t25 @t28)) % 3.22/3.43 (define @t30 () (@var "C" $$unsorted)) % 3.22/3.43 (define @t31 () (_ tptp.caterpillar @t30)) % 3.22/3.43 (define @t32 () (not @t31)) % 3.22/3.43 (define @t33 () (_ tptp.cf @t30)) % 3.22/3.43 (define @t34 () (_ tptp.eats @t30)) % 3.22/3.43 (define @t35 () (_ @t34 @t33)) % 3.22/3.43 (define @t36 () (or @t35 @t32)) % 3.22/3.43 (define @t37 () (@list @t30)) % 3.22/3.43 (define @t38 () (forall @t37 @t36)) % 3.22/3.43 (define @t39 () (_ tptp.plant @t33)) % 3.22/3.43 (define @t40 () (or @t39 @t32)) % 3.22/3.43 (define @t41 () (forall @t37 @t40)) % 3.22/3.43 (define @t42 () (@var "B" $$unsorted)) % 3.22/3.43 (define @t43 () (_ tptp.eats @t42)) % 3.22/3.43 (define @t44 () (_ @t43 @t18)) % 3.22/3.43 (define @t45 () (not @t44)) % 3.22/3.43 (define @t46 () (_ tptp.bird @t42)) % 3.22/3.43 (define @t47 () (not @t46)) % 3.22/3.43 (define @t48 () (or @t47 @t20 @t45)) % 3.22/3.43 (define @t49 () (@list @t42 @t18)) % 3.22/3.43 (define @t50 () (forall @t49 @t48)) % 3.22/3.43 (define @t51 () (_ @t43 @t30)) % 3.22/3.43 (define @t52 () (or @t51 @t47 @t32)) % 3.22/3.43 (define @t53 () (@list @t42 @t30)) % 3.22/3.43 (define @t54 () (forall @t53 @t52)) % 3.22/3.43 (define @t55 () (@var "W" $$unsorted)) % 3.22/3.43 (define @t56 () (_ tptp.eats @t55)) % 3.22/3.43 (define @t57 () (_ @t56 @t1)) % 3.22/3.43 (define @t58 () (not @t57)) % 3.22/3.43 (define @t59 () (_ tptp.wolf @t55)) % 3.22/3.43 (define @t60 () (not @t59)) % 3.22/3.43 (define @t61 () (or @t60 @t10 @t58)) % 3.22/3.43 (define @t62 () (@list @t55 @t1)) % 3.22/3.43 (define @t63 () (forall @t62 @t61)) % 3.22/3.43 (define @t64 () (@var "F" $$unsorted)) % 3.22/3.43 (define @t65 () (_ @t56 @t64)) % 3.22/3.43 (define @t66 () (not @t65)) % 3.22/3.43 (define @t67 () (_ tptp.fox @t64)) % 3.22/3.43 (define @t68 () (not @t67)) % 3.22/3.43 (define @t69 () (or @t60 @t68 @t66)) % 3.22/3.43 (define @t70 () (@list @t64 @t55)) % 3.22/3.43 (define @t71 () (forall @t70 @t69)) % 3.22/3.43 (define @t72 () (_ (_ tptp.msmaller @t64) @t55)) % 3.22/3.43 (define @t73 () (or @t72 @t68 @t60)) % 3.22/3.43 (define @t74 () (forall @t70 @t73)) % 3.22/3.43 (define @t75 () (_ (_ tptp.msmaller @t42) @t64)) % 3.22/3.43 (define @t76 () (or @t75 @t47 @t68)) % 3.22/3.43 (define @t77 () (@list @t42 @t64)) % 3.22/3.43 (define @t78 () (forall @t77 @t76)) % 3.22/3.43 (define @t79 () (_ tptp.msmaller @t18)) % 3.22/3.43 (define @t80 () (_ @t79 @t42)) % 3.22/3.43 (define @t81 () (or @t80 @t20 @t47)) % 3.22/3.43 (define @t82 () (@list @t18 @t42)) % 3.22/3.43 (define @t83 () (forall @t82 @t81)) % 3.22/3.43 (define @t84 () (_ (_ tptp.msmaller @t30) @t42)) % 3.22/3.43 (define @t85 () (or @t84 @t32 @t47)) % 3.22/3.43 (define @t86 () (@list @t30 @t42)) % 3.22/3.43 (define @t87 () (forall @t86 @t85)) % 3.22/3.43 (define @t88 () (@var "O" $$unsorted)) % 3.22/3.43 (define @t89 () (_ @t22 @t88)) % 3.22/3.43 (define @t90 () (not @t89)) % 3.22/3.43 (define @t91 () (_ @t79 @t5)) % 3.22/3.43 (define @t92 () (not @t91)) % 3.22/3.43 (define @t93 () (_ tptp.plant @t88)) % 3.22/3.43 (define @t94 () (not @t93)) % 3.22/3.43 (define @t95 () (_ tptp.animal @t18)) % 3.22/3.43 (define @t96 () (not @t95)) % 3.22/3.43 (define @t97 () (@var "P" $$unsorted)) % 3.22/3.43 (define @t98 () (_ tptp.plant @t97)) % 3.22/3.43 (define @t99 () (not @t98)) % 3.22/3.43 (define @t100 () (_ @t6 @t18)) % 3.22/3.43 (define @t101 () (_ @t6 @t97)) % 3.22/3.43 (define @t102 () (or @t101 @t100 @t14 @t99 @t96 @t94 @t92 @t90)) % 3.22/3.43 (define @t103 () (@list @t5 @t97 @t18 @t88)) % 3.22/3.43 (define @t104 () (forall @t103 @t102)) % 3.22/3.43 (define @t105 () (@var "X" $$unsorted)) % 3.22/3.43 (define @t106 () (_ tptp.grain @t105)) % 3.22/3.43 (define @t107 () (not @t106)) % 3.22/3.43 (define @t108 () (_ tptp.plant @t105)) % 3.22/3.43 (define @t109 () (or @t108 @t107)) % 3.22/3.43 (define @t110 () (@list @t105)) % 3.22/3.43 (define @t111 () (forall @t110 @t109)) % 3.22/3.43 (define @t112 () (_ tptp.grain tptp.a_grain)) % 3.22/3.43 (define @t113 () (_ tptp.snail tptp.a_snail)) % 3.22/3.43 (define @t114 () (_ tptp.caterpillar tptp.a_caterpillar)) % 3.22/3.43 (define @t115 () (_ tptp.bird tptp.a_bird)) % 3.22/3.43 (define @t116 () (_ tptp.fox tptp.a_fox)) % 3.22/3.43 (define @t117 () (_ tptp.wolf tptp.a_wolf)) % 3.22/3.43 (define @t118 () (_ tptp.snail @t105)) % 3.22/3.43 (define @t119 () (not @t118)) % 3.22/3.43 (define @t120 () (_ tptp.animal @t105)) % 3.22/3.43 (define @t121 () (or @t120 @t119)) % 3.22/3.43 (define @t122 () (forall @t110 @t121)) % 3.22/3.43 (define @t123 () (_ tptp.caterpillar @t105)) % 3.22/3.43 (define @t124 () (not @t123)) % 3.22/3.43 (define @t125 () (or @t120 @t124)) % 3.22/3.43 (define @t126 () (forall @t110 @t125)) % 3.22/3.43 (define @t127 () (_ tptp.bird @t105)) % 3.22/3.43 (define @t128 () (not @t127)) % 3.22/3.43 (define @t129 () (or @t120 @t128)) % 3.22/3.43 (define @t130 () (forall @t110 @t129)) % 3.22/3.43 (define @t131 () (_ tptp.fox @t105)) % 3.22/3.43 (define @t132 () (not @t131)) % 3.22/3.43 (define @t133 () (or @t120 @t132)) % 3.22/3.43 (define @t134 () (forall @t110 @t133)) % 3.22/3.43 (define @t135 () (_ tptp.wolf @t105)) % 3.22/3.43 (define @t136 () (not @t135)) % 3.22/3.43 (define @t137 () (or @t120 @t136)) % 3.22/3.43 (define @t138 () (forall @t110 @t137)) % 3.22/3.43 (define @t139 () (and @t138 @t134 @t130 @t126 @t122 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t104 @t87 @t83 @t78 @t74 @t71 @t63 @t54 @t50 @t41 @t38 @t29 @t26 @t17)) % 3.22/3.43 (define @t140 () (tptp.eats @t2 @t1)) % 3.22/3.43 (define @t141 () (tptp.eats @t5 @t2)) % 3.22/3.43 (define @t142 () (tptp.grain @t1)) % 3.22/3.43 (define @t143 () (not @t142)) % 3.22/3.43 (define @t144 () (tptp.animal @t2)) % 3.22/3.43 (define @t145 () (tptp.animal @t5)) % 3.22/3.43 (define @t146 () (not @t145)) % 3.22/3.43 (define @t147 () (forall @t16 (or @t146 (not @t144) @t143 (not @t141) (not @t140)))) % 3.22/3.43 (define @t148 () (tptp.snail @t18)) % 3.22/3.43 (define @t149 () (not @t148)) % 3.22/3.43 (define @t150 () (tptp.sf @t18)) % 3.22/3.43 (define @t151 () (tptp.eats @t18 @t150)) % 3.22/3.43 (define @t152 () (forall @t25 (or @t151 @t149))) % 3.22/3.43 (define @t153 () (tptp.plant @t150)) % 3.22/3.43 (define @t154 () (forall @t25 (or @t153 @t149))) % 3.22/3.43 (define @t155 () (tptp.caterpillar @t30)) % 3.22/3.43 (define @t156 () (not @t155)) % 3.22/3.43 (define @t157 () (tptp.cf @t30)) % 3.22/3.43 (define @t158 () (tptp.eats @t30 @t157)) % 3.22/3.43 (define @t159 () (forall @t37 (or @t158 @t156))) % 3.22/3.43 (define @t160 () (tptp.plant @t157)) % 3.22/3.43 (define @t161 () (forall @t37 (or @t160 @t156))) % 3.22/3.43 (define @t162 () (tptp.eats @t42 @t18)) % 3.22/3.43 (define @t163 () (tptp.bird @t42)) % 3.22/3.43 (define @t164 () (not @t163)) % 3.22/3.43 (define @t165 () (forall @t49 (or @t164 @t149 (not @t162)))) % 3.22/3.43 (define @t166 () (tptp.eats @t42 @t30)) % 3.22/3.43 (define @t167 () (forall @t53 (or @t166 @t164 @t156))) % 3.22/3.43 (define @t168 () (tptp.eats @t55 @t1)) % 3.22/3.43 (define @t169 () (tptp.wolf @t55)) % 3.22/3.43 (define @t170 () (not @t169)) % 3.22/3.43 (define @t171 () (forall @t62 (or @t170 @t143 (not @t168)))) % 3.22/3.43 (define @t172 () (tptp.eats @t55 @t64)) % 3.22/3.43 (define @t173 () (tptp.fox @t64)) % 3.22/3.43 (define @t174 () (not @t173)) % 3.22/3.43 (define @t175 () (forall @t70 (or @t170 @t174 (not @t172)))) % 3.22/3.43 (define @t176 () (tptp.msmaller @t64 @t55)) % 3.22/3.43 (define @t177 () (forall @t70 (or @t176 @t174 @t170))) % 3.22/3.43 (define @t178 () (tptp.msmaller @t42 @t64)) % 3.22/3.43 (define @t179 () (forall @t77 (or @t178 @t164 @t174))) % 3.22/3.43 (define @t180 () (tptp.msmaller @t18 @t42)) % 3.22/3.43 (define @t181 () (forall @t82 (or @t180 @t149 @t164))) % 3.22/3.43 (define @t182 () (tptp.msmaller @t30 @t42)) % 3.22/3.43 (define @t183 () (forall @t86 (or @t182 @t156 @t164))) % 3.22/3.43 (define @t184 () (tptp.eats @t18 @t88)) % 3.22/3.43 (define @t185 () (tptp.msmaller @t18 @t5)) % 3.22/3.43 (define @t186 () (tptp.plant @t88)) % 3.22/3.43 (define @t187 () (tptp.animal @t18)) % 3.22/3.44 (define @t188 () (tptp.plant @t97)) % 3.22/3.44 (define @t189 () (tptp.eats @t5 @t18)) % 3.22/3.44 (define @t190 () (tptp.eats @t5 @t97)) % 3.22/3.44 (define @t191 () (forall @t103 (or @t190 @t189 @t146 (not @t188) (not @t187) (not @t186) (not @t185) (not @t184)))) % 3.22/3.44 (define @t192 () (tptp.grain @t105)) % 3.22/3.44 (define @t193 () (tptp.plant @t105)) % 3.22/3.44 (define @t194 () (forall @t110 (or @t193 (not @t192)))) % 3.22/3.44 (define @t195 () (tptp.grain tptp.a_grain)) % 3.22/3.44 (define @t196 () (tptp.snail tptp.a_snail)) % 3.22/3.44 (define @t197 () (tptp.caterpillar tptp.a_caterpillar)) % 3.22/3.44 (define @t198 () (tptp.bird tptp.a_bird)) % 3.22/3.44 (define @t199 () (tptp.fox tptp.a_fox)) % 3.22/3.44 (define @t200 () (tptp.wolf tptp.a_wolf)) % 3.22/3.44 (define @t201 () (tptp.snail @t105)) % 3.22/3.44 (define @t202 () (tptp.animal @t105)) % 3.22/3.44 (define @t203 () (forall @t110 (or @t202 (not @t201)))) % 3.22/3.44 (define @t204 () (tptp.caterpillar @t105)) % 3.22/3.44 (define @t205 () (forall @t110 (or @t202 (not @t204)))) % 3.22/3.44 (define @t206 () (tptp.bird @t105)) % 3.22/3.44 (define @t207 () (forall @t110 (or @t202 (not @t206)))) % 3.22/3.44 (define @t208 () (tptp.fox @t105)) % 3.22/3.44 (define @t209 () (forall @t110 (or @t202 (not @t208)))) % 3.22/3.44 (define @t210 () (tptp.wolf @t105)) % 3.22/3.44 (define @t211 () (forall @t110 (or @t202 (not @t210)))) % 3.22/3.44 (define @t212 () (tptp.sf tptp.a_snail)) % 3.22/3.44 (define @t213 () (not @t198)) % 3.22/3.44 (define @t214 () (not @t196)) % 3.22/3.44 (define @t215 () (tptp.msmaller tptp.a_snail tptp.a_bird)) % 3.22/3.44 (define @t216 () (or @t215 @t214 @t213)) % 3.22/3.44 (define @t217 () (@list false false false)) % 3.22/3.44 (define @t218 () (tptp.eats tptp.a_bird tptp.a_snail)) % 3.22/3.44 (define @t219 () (not @t218)) % 3.22/3.44 (define @t220 () (or @t213 @t214 @t219)) % 3.22/3.44 (define @t221 () (@list tptp.a_snail)) % 3.22/3.44 (define @t222 () (tptp.eats tptp.a_snail @t212)) % 3.22/3.44 (define @t223 () (or @t222 @t214)) % 3.22/3.44 (define @t224 () (@list false false)) % 3.22/3.44 (define @t225 () (tptp.plant @t212)) % 3.22/3.44 (define @t226 () (or @t225 @t214)) % 3.22/3.44 (define @t227 () (not @t195)) % 3.22/3.44 (define @t228 () (tptp.plant tptp.a_grain)) % 3.22/3.44 (define @t229 () (or @t228 @t227)) % 3.22/3.44 (define @t230 () (tptp.animal tptp.a_snail)) % 3.22/3.44 (define @t231 () (or @t230 @t214)) % 3.22/3.44 (define @t232 () (tptp.animal tptp.a_bird)) % 3.22/3.44 (define @t233 () (or @t232 @t213)) % 3.22/3.44 (define @t234 () (not @t222)) % 3.22/3.44 (define @t235 () (not @t215)) % 3.22/3.44 (define @t236 () (not @t225)) % 3.22/3.44 (define @t237 () (not @t230)) % 3.22/3.44 (define @t238 () (not @t228)) % 3.22/3.44 (define @t239 () (not @t232)) % 3.22/3.44 (define @t240 () (tptp.eats tptp.a_bird tptp.a_grain)) % 3.22/3.44 (define @t241 () (or @t240 @t218 @t239 @t238 @t237 @t236 @t235 @t234)) % 3.22/3.44 (define @t242 () (@list false false false false false true false false)) % 3.22/3.44 (define @t243 () (not @t199)) % 3.22/3.44 (define @t244 () (tptp.animal tptp.a_fox)) % 3.22/3.44 (define @t245 () (or @t244 @t243)) % 3.22/3.44 (define @t246 () (not @t240)) % 3.22/3.44 (define @t247 () (tptp.eats tptp.a_fox tptp.a_bird)) % 3.22/3.44 (define @t248 () (not @t247)) % 3.22/3.44 (define @t249 () (not @t244)) % 3.22/3.44 (define @t250 () (or @t249 @t239 @t227 @t248 @t246)) % 3.22/3.44 (define @t251 () (@list false false false false false)) % 3.22/3.44 (define @t252 () (tptp.msmaller tptp.a_bird tptp.a_fox)) % 3.22/3.44 (define @t253 () (or @t252 @t213 @t243)) % 3.22/3.44 (define @t254 () (tptp.cf tptp.a_caterpillar)) % 3.22/3.44 (define @t255 () (not @t197)) % 3.22/3.44 (define @t256 () (tptp.plant @t254)) % 3.22/3.44 (define @t257 () (or @t256 @t255)) % 3.22/3.44 (define @t258 () (not @t256)) % 3.22/3.44 (define @t259 () (tptp.eats tptp.a_bird @t254)) % 3.22/3.44 (define @t260 () (or @t259 @t218 @t239 @t258 @t237 @t236 @t235 @t234)) % 3.22/3.44 (define @t261 () (not @t259)) % 3.22/3.44 (define @t262 () (not @t252)) % 3.22/3.44 (define @t263 () (tptp.eats tptp.a_fox @t254)) % 3.22/3.44 (define @t264 () (or @t263 @t247 @t249 @t258 @t239 @t258 @t262 @t261)) % 3.22/3.44 (define @t265 () (not @t200)) % 3.22/3.44 (define @t266 () (tptp.msmaller tptp.a_fox tptp.a_wolf)) % 3.22/3.44 (define @t267 () (or @t266 @t243 @t265)) % 3.22/3.44 (define @t268 () (tptp.eats tptp.a_wolf tptp.a_grain)) % 3.22/3.44 (define @t269 () (not @t268)) % 3.22/3.44 (define @t270 () (or @t265 @t227 @t269)) % 3.22/3.44 (define @t271 () (tptp.animal tptp.a_wolf)) % 3.22/3.44 (define @t272 () (or @t271 @t265)) % 3.22/3.44 (define @t273 () (not @t263)) % 3.22/3.44 (define @t274 () (not @t266)) % 3.22/3.44 (define @t275 () (not @t271)) % 3.22/3.44 (define @t276 () (tptp.eats tptp.a_wolf tptp.a_fox)) % 3.22/3.44 (define @t277 () (or @t268 @t276 @t275 @t238 @t249 @t258 @t274 @t273)) % 3.22/3.44 (define @t278 () (tptp.eats tptp.a_fox tptp.a_grain)) % 3.22/3.44 (define @t279 () (not @t278)) % 3.22/3.44 (define @t280 () (not @t276)) % 3.22/3.44 (define @t281 () (or @t275 @t249 @t227 @t280 @t279)) % 3.22/3.44 (define @t282 () (or @t278 @t247 @t249 @t238 @t239 @t238 @t262 @t246)) % 3.22/3.44 (define @t283 () (not @t282)) % 3.22/3.44 (assume @p1 (not (not @t139))) % 3.22/3.44 (assume @p2 true) % 3.22/3.44 (step @p3 :rule refl :args (@t147)) % 3.22/3.44 (step @p4 :rule refl :args (@t152)) % 3.22/3.44 (step @p5 :rule refl :args (@t154)) % 3.22/3.44 (step @p6 :rule refl :args (@t159)) % 3.22/3.44 (step @p7 :rule refl :args (@t161)) % 3.22/3.44 (step @p8 :rule refl :args (@t165)) % 3.22/3.44 (step @p9 :rule refl :args (@t167)) % 3.22/3.44 (step @p10 :rule refl :args (@t171)) % 3.22/3.44 (step @p11 :rule refl :args (@t175)) % 3.22/3.44 (step @p12 :rule refl :args (@t177)) % 3.22/3.44 (step @p13 :rule refl :args (@t179)) % 3.22/3.44 (step @p14 :rule refl :args (@t181)) % 3.22/3.44 (step @p15 :rule refl :args (@t183)) % 3.22/3.44 (step @p16 :rule refl :args (@t191)) % 3.22/3.44 (step @p17 :rule refl :args (@t194)) % 3.22/3.44 (step @p18 :rule refl :args (@t195)) % 3.22/3.44 (step @p19 :rule refl :args (@t112)) % 3.22/3.44 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t112 @t195))) % 3.22/3.44 (step @p21 :rule symm :premises (@p20)) % 3.22/3.44 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 3.22/3.44 (step @p23 :rule refl :args (@t196)) % 3.22/3.44 (step @p24 :rule refl :args (@t113)) % 3.22/3.44 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t113 @t196))) % 3.22/3.44 (step @p26 :rule symm :premises (@p25)) % 3.22/3.44 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 3.22/3.44 (step @p28 :rule refl :args (@t197)) % 3.22/3.44 (step @p29 :rule refl :args (@t114)) % 3.22/3.44 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t114 @t197))) % 3.22/3.44 (step @p31 :rule symm :premises (@p30)) % 3.22/3.44 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 3.22/3.44 (step @p33 :rule refl :args (@t198)) % 3.22/3.44 (step @p34 :rule refl :args (@t115)) % 3.22/3.44 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t115 @t198))) % 3.22/3.44 (step @p36 :rule symm :premises (@p35)) % 3.22/3.44 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 3.22/3.44 (step @p38 :rule refl :args (@t199)) % 3.22/3.44 (step @p39 :rule refl :args (@t116)) % 3.22/3.44 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t116 @t199))) % 3.22/3.44 (step @p41 :rule symm :premises (@p40)) % 3.22/3.44 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 3.22/3.44 (step @p43 :rule refl :args (@t200)) % 3.22/3.44 (step @p44 :rule refl :args (@t117)) % 3.22/3.44 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t117 @t200))) % 3.22/3.44 (step @p46 :rule symm :premises (@p45)) % 3.22/3.44 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 3.22/3.44 (step @p48 :rule refl :args (@t203)) % 3.22/3.44 (step @p49 :rule refl :args (@t205)) % 3.22/3.44 (step @p50 :rule refl :args (@t207)) % 3.22/3.44 (step @p51 :rule refl :args (@t209)) % 3.22/3.44 (step @p52 :rule refl :args (@t211)) % 3.22/3.44 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50 @p49 @p48 @p47 @p42 @p37 @p32 @p27 @p22 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p3) :args ((and @t211 @t209 @t207 @t205 @t203 @t117 @t116 @t115 @t114 @t113 @t112 @t194 @t191 @t183 @t181 @t179 @t177 @t175 @t171 @t167 @t165 @t161 @t159 @t154 @t152 @t147))) % 3.22/3.44 (step @p54 :rule refl :args (@t140)) % 3.22/3.44 (step @p55 :rule refl :args (@t3)) % 3.22/3.44 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t3 @t140))) % 3.22/3.44 (step @p57 :rule symm :premises (@p56)) % 3.22/3.44 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 3.22/3.44 (step @p59 :rule cong :premises (@p58) :args (@t4)) % 3.22/3.44 (step @p60 :rule refl :args (@t141)) % 3.22/3.44 (step @p61 :rule refl :args (@t7)) % 3.22/3.44 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t7 @t141))) % 3.22/3.44 (step @p63 :rule symm :premises (@p62)) % 3.22/3.44 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 3.22/3.44 (step @p65 :rule cong :premises (@p64) :args (@t8)) % 3.22/3.44 (step @p66 :rule refl :args (@t142)) % 3.22/3.44 (step @p67 :rule refl :args (@t9)) % 3.22/3.44 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t9 @t142))) % 3.22/3.44 (step @p69 :rule symm :premises (@p68)) % 3.22/3.44 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 3.22/3.44 (step @p71 :rule cong :premises (@p70) :args (@t10)) % 3.22/3.44 (step @p72 :rule refl :args (@t144)) % 3.22/3.44 (step @p73 :rule refl :args (@t11)) % 3.22/3.44 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t11 @t144))) % 3.22/3.44 (step @p75 :rule symm :premises (@p74)) % 3.22/3.44 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 3.22/3.44 (step @p77 :rule cong :premises (@p76) :args (@t12)) % 3.22/3.44 (step @p78 :rule refl :args (@t145)) % 3.22/3.44 (step @p79 :rule refl :args (@t13)) % 3.22/3.44 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t13 @t145))) % 3.22/3.44 (step @p81 :rule symm :premises (@p80)) % 3.22/3.44 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 3.22/3.44 (step @p83 :rule cong :premises (@p82) :args (@t14)) % 3.22/3.44 (step @p84 :rule nary_cong :premises (@p83 @p77 @p71 @p65 @p59) :args (@t15)) % 3.22/3.44 (step @p85 :rule cong :premises (@p84) :args (@t17)) % 3.22/3.44 (step @p86 :rule refl :args (@t148)) % 3.22/3.44 (step @p87 :rule refl :args (@t19)) % 3.22/3.44 (step @p88 :rule cong :premises (@p87 @p86) :args ((= @t19 @t148))) % 3.22/3.44 (step @p89 :rule symm :premises (@p88)) % 3.22/3.44 (step @p90 :rule eq_resolve :premises (@p87 @p89)) % 3.22/3.44 (step @p91 :rule cong :premises (@p90) :args (@t20)) % 3.22/3.44 (step @p92 :rule refl :args ((tptp.eats @t18 @t21))) % 3.22/3.44 (step @p93 :rule refl :args (@t150)) % 3.22/3.44 (step @p94 :rule refl :args (@t18)) % 3.22/3.44 (step @p95 :rule cong :premises (@p94 @p93) :args (@t151)) % 3.22/3.44 (step @p96 :rule trans :premises (@p95 @p92)) % 3.22/3.44 (step @p97 :rule refl :args (@t22)) % 3.22/3.44 (step @p98 :rule ho_cong :premises (@p97 @p93)) % 3.22/3.44 (step @p99 :rule cong :premises (@p98 @p96) :args ((= (_ @t22 @t150) @t151))) % 3.22/3.44 (step @p100 :rule symm :premises (@p99)) % 3.22/3.44 (step @p101 :rule refl :args (@t23)) % 3.22/3.44 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 3.22/3.44 (step @p103 :rule refl :args (@t21)) % 3.22/3.44 (step @p104 :rule cong :premises (@p103 @p93) :args ((= @t21 @t150))) % 3.22/3.44 (step @p105 :rule symm :premises (@p104)) % 3.22/3.44 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 3.22/3.44 (step @p107 :rule ho_cong :premises (@p97 @p106)) % 3.22/3.44 (step @p108 :rule trans :premises (@p107 @p102)) % 3.22/3.44 (step @p109 :rule nary_cong :premises (@p108 @p91) :args (@t24)) % 3.22/3.44 (step @p110 :rule cong :premises (@p109) :args (@t26)) % 3.22/3.44 (step @p111 :rule refl :args ((tptp.plant @t21))) % 3.22/3.44 (step @p112 :rule cong :premises (@p93) :args (@t153)) % 3.22/3.44 (step @p113 :rule trans :premises (@p112 @p111)) % 3.22/3.44 (step @p114 :rule refl :args (tptp.plant)) % 3.22/3.44 (step @p115 :rule ho_cong :premises (@p114 @p93)) % 3.22/3.44 (step @p116 :rule cong :premises (@p115 @p113) :args ((= (_ tptp.plant @t150) @t153))) % 3.22/3.44 (step @p117 :rule symm :premises (@p116)) % 3.22/3.44 (step @p118 :rule refl :args (@t27)) % 3.22/3.44 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 3.22/3.44 (step @p120 :rule ho_cong :premises (@p114 @p106)) % 3.22/3.44 (step @p121 :rule trans :premises (@p120 @p119)) % 3.22/3.44 (step @p122 :rule nary_cong :premises (@p121 @p91) :args (@t28)) % 3.22/3.44 (step @p123 :rule cong :premises (@p122) :args (@t29)) % 3.22/3.44 (step @p124 :rule refl :args (@t155)) % 3.22/3.44 (step @p125 :rule refl :args (@t31)) % 3.22/3.44 (step @p126 :rule cong :premises (@p125 @p124) :args ((= @t31 @t155))) % 3.22/3.44 (step @p127 :rule symm :premises (@p126)) % 3.22/3.44 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 3.22/3.44 (step @p129 :rule cong :premises (@p128) :args (@t32)) % 3.22/3.44 (step @p130 :rule refl :args ((tptp.eats @t30 @t33))) % 3.22/3.44 (step @p131 :rule refl :args (@t157)) % 3.22/3.44 (step @p132 :rule refl :args (@t30)) % 3.22/3.44 (step @p133 :rule cong :premises (@p132 @p131) :args (@t158)) % 3.22/3.44 (step @p134 :rule trans :premises (@p133 @p130)) % 3.22/3.44 (step @p135 :rule refl :args (@t34)) % 3.22/3.44 (step @p136 :rule ho_cong :premises (@p135 @p131)) % 3.22/3.44 (step @p137 :rule cong :premises (@p136 @p134) :args ((= (_ @t34 @t157) @t158))) % 3.22/3.44 (step @p138 :rule symm :premises (@p137)) % 3.22/3.44 (step @p139 :rule refl :args (@t35)) % 3.22/3.44 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 3.22/3.44 (step @p141 :rule refl :args (@t33)) % 3.22/3.44 (step @p142 :rule cong :premises (@p141 @p131) :args ((= @t33 @t157))) % 3.22/3.44 (step @p143 :rule symm :premises (@p142)) % 3.22/3.44 (step @p144 :rule eq_resolve :premises (@p141 @p143)) % 3.22/3.44 (step @p145 :rule ho_cong :premises (@p135 @p144)) % 3.22/3.44 (step @p146 :rule trans :premises (@p145 @p140)) % 3.22/3.44 (step @p147 :rule nary_cong :premises (@p146 @p129) :args (@t36)) % 3.22/3.44 (step @p148 :rule cong :premises (@p147) :args (@t38)) % 3.22/3.44 (step @p149 :rule refl :args ((tptp.plant @t33))) % 3.22/3.44 (step @p150 :rule cong :premises (@p131) :args (@t160)) % 3.22/3.44 (step @p151 :rule trans :premises (@p150 @p149)) % 3.22/3.44 (step @p152 :rule ho_cong :premises (@p114 @p131)) % 3.22/3.44 (step @p153 :rule cong :premises (@p152 @p151) :args ((= (_ tptp.plant @t157) @t160))) % 3.22/3.44 (step @p154 :rule symm :premises (@p153)) % 3.22/3.44 (step @p155 :rule refl :args (@t39)) % 3.22/3.44 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 3.22/3.44 (step @p157 :rule ho_cong :premises (@p114 @p144)) % 3.22/3.44 (step @p158 :rule trans :premises (@p157 @p156)) % 3.22/3.44 (step @p159 :rule nary_cong :premises (@p158 @p129) :args (@t40)) % 3.22/3.44 (step @p160 :rule cong :premises (@p159) :args (@t41)) % 3.22/3.44 (step @p161 :rule refl :args (@t162)) % 3.22/3.44 (step @p162 :rule refl :args (@t44)) % 3.22/3.44 (step @p163 :rule cong :premises (@p162 @p161) :args ((= @t44 @t162))) % 3.22/3.44 (step @p164 :rule symm :premises (@p163)) % 3.22/3.44 (step @p165 :rule eq_resolve :premises (@p162 @p164)) % 3.22/3.44 (step @p166 :rule cong :premises (@p165) :args (@t45)) % 3.22/3.44 (step @p167 :rule refl :args (@t163)) % 3.22/3.44 (step @p168 :rule refl :args (@t46)) % 3.22/3.44 (step @p169 :rule cong :premises (@p168 @p167) :args ((= @t46 @t163))) % 3.22/3.44 (step @p170 :rule symm :premises (@p169)) % 3.22/3.44 (step @p171 :rule eq_resolve :premises (@p168 @p170)) % 3.22/3.44 (step @p172 :rule cong :premises (@p171) :args (@t47)) % 3.22/3.44 (step @p173 :rule nary_cong :premises (@p172 @p91 @p166) :args (@t48)) % 3.22/3.44 (step @p174 :rule cong :premises (@p173) :args (@t50)) % 3.22/3.44 (step @p175 :rule refl :args (@t166)) % 3.22/3.44 (step @p176 :rule refl :args (@t51)) % 3.22/3.44 (step @p177 :rule cong :premises (@p176 @p175) :args ((= @t51 @t166))) % 3.22/3.44 (step @p178 :rule symm :premises (@p177)) % 3.22/3.44 (step @p179 :rule eq_resolve :premises (@p176 @p178)) % 3.22/3.44 (step @p180 :rule nary_cong :premises (@p179 @p172 @p129) :args (@t52)) % 3.22/3.44 (step @p181 :rule cong :premises (@p180) :args (@t54)) % 3.22/3.44 (step @p182 :rule refl :args (@t168)) % 3.22/3.44 (step @p183 :rule refl :args (@t57)) % 3.22/3.44 (step @p184 :rule cong :premises (@p183 @p182) :args ((= @t57 @t168))) % 3.22/3.44 (step @p185 :rule symm :premises (@p184)) % 3.22/3.44 (step @p186 :rule eq_resolve :premises (@p183 @p185)) % 3.22/3.44 (step @p187 :rule cong :premises (@p186) :args (@t58)) % 3.22/3.44 (step @p188 :rule refl :args (@t169)) % 3.22/3.44 (step @p189 :rule refl :args (@t59)) % 3.22/3.44 (step @p190 :rule cong :premises (@p189 @p188) :args ((= @t59 @t169))) % 3.22/3.44 (step @p191 :rule symm :premises (@p190)) % 3.22/3.44 (step @p192 :rule eq_resolve :premises (@p189 @p191)) % 3.22/3.44 (step @p193 :rule cong :premises (@p192) :args (@t60)) % 3.22/3.44 (step @p194 :rule nary_cong :premises (@p193 @p71 @p187) :args (@t61)) % 3.22/3.44 (step @p195 :rule cong :premises (@p194) :args (@t63)) % 3.22/3.44 (step @p196 :rule refl :args (@t172)) % 3.22/3.44 (step @p197 :rule refl :args (@t65)) % 3.22/3.44 (step @p198 :rule cong :premises (@p197 @p196) :args ((= @t65 @t172))) % 3.22/3.44 (step @p199 :rule symm :premises (@p198)) % 3.22/3.44 (step @p200 :rule eq_resolve :premises (@p197 @p199)) % 3.22/3.44 (step @p201 :rule cong :premises (@p200) :args (@t66)) % 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@p417 @p372 @p367 @p362 @p357 @p411) :args (@t259 @t242 (@list @t232 @t230 @t256 @t225 @t222 @t218 @t215 @t260))) % 3.22/3.44 (step @p421 :rule cnf_or_pos :args (@t264)) % 3.22/3.44 (step @p422 :rule factoring :premises (@p421)) % 3.22/3.44 (step @p423 :rule reordering :premises (@p422) :args ((or @t249 @t239 @t258 @t262 @t247 @t263 @t261 (not @t264)))) % 3.22/3.44 (step @p424 :rule chain_m_resolution :premises (@p423 @p399 @p388 @p417 @p407 @p402 @p420 @p410) :args (@t263 (@list false false false false true false false) (@list @t244 @t232 @t256 @t252 @t247 @t259 @t264))) % 3.22/3.44 (step @p425 :rule and_elim :premises (@p348) :args (16)) % 3.22/3.44 (step @p426 :rule instantiate :premises (@p425) :args ((@list tptp.a_fox tptp.a_wolf))) % 3.22/3.44 (step @p427 :rule and_elim :premises (@p348) :args (5)) % 3.22/3.44 (step @p428 :rule cnf_or_pos :args (@t267)) % 3.22/3.44 (step @p429 :rule reordering :premises (@p428) :args ((or @t265 @t243 @t266 (not @t267)))) % 3.22/3.44 (step @p430 :rule chain_m_resolution :premises (@p429 @p427 @p396 @p426) :args (@t266 @t217 (@list @t200 @t199 @t267))) % 3.22/3.44 (step @p431 :rule and_elim :premises (@p348) :args (18)) % 3.22/3.44 (step @p432 :rule instantiate :premises (@p431) :args ((@list tptp.a_wolf tptp.a_grain))) % 3.22/3.44 (step @p433 :rule cnf_or_pos :args (@t270)) % 3.22/3.44 (step @p434 :rule reordering :premises (@p433) :args ((or @t265 @t227 @t269 (not @t270)))) % 3.22/3.44 (step @p435 :rule chain_m_resolution :premises (@p434 @p427 @p375 @p432) :args (@t269 @t217 (@list @t200 @t195 @t270))) % 3.22/3.44 (step @p436 :rule and_elim :premises (@p348) :args (0)) % 3.22/3.44 (step @p437 :rule instantiate :premises (@p436) :args ((@list tptp.a_wolf))) % 3.22/3.44 (step @p438 :rule cnf_or_pos :args (@t272)) % 3.22/3.44 (step @p439 :rule reordering :premises (@p438) :args ((or @t265 @t271 (not @t272)))) % 3.22/3.44 (step @p440 :rule chain_m_resolution :premises (@p439 @p427 @p437) :args (@t271 @t224 (@list @t200 @t272))) % 3.22/3.44 (step @p441 :rule cnf_or_pos :args (@t277)) % 3.22/3.44 (step @p442 :rule reordering :premises (@p441) :args ((or @t275 @t249 @t238 @t258 @t268 @t276 @t274 @t273 (not @t277)))) % 3.22/3.44 (step @p443 :rule chain_m_resolution :premises (@p442 @p440 @p399 @p378 @p417 @p435 @p430 @p424 @p409) :args (@t276 (@list false false false false true false false false) (@list @t271 @t244 @t228 @t256 @t268 @t266 @t263 @t277))) % 3.22/3.44 (step @p444 :rule cnf_or_pos :args (@t281)) % 3.22/3.44 (step @p445 :rule reordering :premises (@p444) :args ((or @t227 @t275 @t249 @t280 @t279 (not @t281)))) % 3.22/3.44 (step @p446 :rule chain_m_resolution :premises (@p445 @p375 @p440 @p399 @p443 @p408) :args (@t279 @t251 (@list @t195 @t271 @t244 @t276 @t281))) % 3.22/3.44 (step @p447 :rule cnf_or_pos :args (@t282)) % 3.22/3.44 (step @p448 :rule factoring :premises (@p447)) % 3.22/3.44 (step @p449 :rule reordering :premises (@p448) :args ((or @t249 @t239 @t238 @t278 @t262 @t247 @t246 @t283))) % 3.22/3.44 (step @p450 :rule chain_m_resolution :premises (@p449 @p399 @p388 @p378 @p446 @p407 @p402 @p391) :args (@t283 (@list false false false true false true false) (@list @t244 @t232 @t228 @t278 @t252 @t247 @t240))) % 3.22/3.44 (assume-push @p457 @t191) % 3.22/3.44 (step @p452 :rule instantiate :premises (@p349) :args ((@list tptp.a_fox tptp.a_grain tptp.a_bird tptp.a_grain))) % 3.22/3.44 (step-pop @p458 :rule scope :premises (@p452)) % 3.22/3.44 (step @p453 :rule process_scope :premises (@p458) :args (@t282)) % 3.22/3.44 (step @p455 :rule implies_elim :premises (@p453)) % 3.22/3.44 (step @p456 false :rule chain_m_resolution :premises (@p455 @p450 @p349) :args (false (@list true false) (@list @t282 @t191))) % 3.22/3.44 ) % 3.22/3.44 % SZS output end Proof % 3.22/3.44 % cvc5 exiting %------------------------------------------------------------------------------