%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV555-1.004 : 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 09:01:56 AM UTC 2026 % Result : Unsatisfiable 0.43s 0.63s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV555-1.004 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 : Tue Jun 2 20:45:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.63 % SZS status Unsatisfiable % 0.43/0.63 % SZS output start Proof % 0.43/0.65 ( % 0.43/0.65 (declare-sort $$unsorted 0) % 0.43/0.65 (declare-const tptp.e_33 $$unsorted) % 0.43/0.65 (declare-const tptp.e_36 $$unsorted) % 0.43/0.65 (declare-const tptp.a_30 $$unsorted) % 0.43/0.65 (declare-const tptp.i_35 $$unsorted) % 0.43/0.65 (declare-const tptp.e_29 $$unsorted) % 0.43/0.65 (declare-const tptp.a_28 $$unsorted) % 0.43/0.65 (declare-const tptp.i3 $$unsorted) % 0.43/0.65 (declare-const tptp.e_27 $$unsorted) % 0.43/0.65 (declare-const tptp.a_26 $$unsorted) % 0.43/0.65 (declare-const tptp.e_23 $$unsorted) % 0.43/0.65 (declare-const tptp.select (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.e_31 $$unsorted) % 0.43/0.65 (declare-const tptp.i1 $$unsorted) % 0.43/0.65 (declare-const tptp.a_32 $$unsorted) % 0.43/0.65 (declare-const tptp.e_19 $$unsorted) % 0.43/0.65 (declare-const tptp.e_37 $$unsorted) % 0.43/0.65 (declare-const tptp.i4 $$unsorted) % 0.43/0.65 (declare-const tptp.a1 $$unsorted) % 0.43/0.65 (declare-const tptp.a_24 $$unsorted) % 0.43/0.65 (declare-const tptp.sk (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.a_20 $$unsorted) % 0.43/0.65 (declare-const tptp.store (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.43/0.65 (declare-const tptp.e_25 $$unsorted) % 0.43/0.65 (declare-const tptp.e_21 $$unsorted) % 0.43/0.65 (declare-const tptp.a_34 $$unsorted) % 0.43/0.65 (declare-const tptp.a2 $$unsorted) % 0.43/0.65 (declare-const tptp.a_22 $$unsorted) % 0.43/0.65 (declare-const tptp.i2 $$unsorted) % 0.43/0.65 (define @t1 () (@var "E" $$unsorted)) % 0.43/0.65 (define @t2 () (@var "I" $$unsorted)) % 0.43/0.65 (define @t3 () (@var "A" $$unsorted)) % 0.43/0.65 (define @t4 () (tptp.store @t3 @t2 @t1)) % 0.43/0.65 (define @t5 () (tptp.select @t4 @t2)) % 0.43/0.65 (define @t6 () (@list @t3 @t2 @t1)) % 0.43/0.65 (define @t7 () (forall @t6 (= @t5 @t1))) % 0.43/0.65 (define @t8 () (@var "J" $$unsorted)) % 0.43/0.65 (define @t9 () (forall (@list @t2 @t8 @t3 @t1) (or (= @t2 @t8) (= (tptp.select @t4 @t8) (tptp.select @t3 @t8))))) % 0.43/0.65 (define @t10 () (tptp.store tptp.a1 tptp.i1 tptp.e_19)) % 0.43/0.65 (define @t11 () (= tptp.a_20 @t10)) % 0.43/0.65 (define @t12 () (tptp.store tptp.a2 tptp.i1 tptp.e_21)) % 0.43/0.65 (define @t13 () (= tptp.a_22 @t12)) % 0.43/0.65 (define @t14 () (tptp.store tptp.a_20 tptp.i2 tptp.e_23)) % 0.43/0.65 (define @t15 () (= tptp.a_24 @t14)) % 0.43/0.65 (define @t16 () (tptp.store tptp.a_22 tptp.i2 tptp.e_25)) % 0.43/0.65 (define @t17 () (= tptp.a_26 @t16)) % 0.43/0.65 (define @t18 () (tptp.store tptp.a_24 tptp.i3 tptp.e_27)) % 0.43/0.65 (define @t19 () (= tptp.a_28 @t18)) % 0.43/0.65 (define @t20 () (tptp.store tptp.a_26 tptp.i3 tptp.e_29)) % 0.43/0.65 (define @t21 () (= tptp.a_30 @t20)) % 0.43/0.65 (define @t22 () (tptp.store tptp.a_28 tptp.i4 tptp.e_31)) % 0.43/0.65 (define @t23 () (= tptp.a_32 @t22)) % 0.43/0.65 (define @t24 () (tptp.store tptp.a_30 tptp.i4 tptp.e_33)) % 0.43/0.65 (define @t25 () (= tptp.a_34 @t24)) % 0.43/0.65 (define @t26 () (tptp.select tptp.a2 tptp.i1)) % 0.43/0.65 (define @t27 () (= tptp.e_19 @t26)) % 0.43/0.65 (define @t28 () (tptp.select tptp.a1 tptp.i1)) % 0.43/0.65 (define @t29 () (= tptp.e_21 @t28)) % 0.43/0.65 (define @t30 () (tptp.select tptp.a_22 tptp.i2)) % 0.43/0.65 (define @t31 () (= tptp.e_23 @t30)) % 0.43/0.65 (define @t32 () (tptp.select tptp.a_20 tptp.i2)) % 0.43/0.65 (define @t33 () (= tptp.e_25 @t32)) % 0.43/0.65 (define @t34 () (tptp.select tptp.a_26 tptp.i3)) % 0.43/0.65 (define @t35 () (= tptp.e_27 @t34)) % 0.43/0.65 (define @t36 () (tptp.select tptp.a_24 tptp.i3)) % 0.43/0.65 (define @t37 () (= tptp.e_29 @t36)) % 0.43/0.65 (define @t38 () (tptp.select tptp.a_30 tptp.i4)) % 0.43/0.65 (define @t39 () (= tptp.e_31 @t38)) % 0.43/0.65 (define @t40 () (= tptp.e_33 (tptp.select tptp.a_28 tptp.i4))) % 0.43/0.65 (define @t41 () (tptp.select tptp.a1 tptp.i_35)) % 0.43/0.65 (define @t42 () (= tptp.e_36 @t41)) % 0.43/0.65 (define @t43 () (tptp.select tptp.a2 tptp.i_35)) % 0.43/0.65 (define @t44 () (= tptp.e_37 @t43)) % 0.43/0.65 (define @t45 () (= tptp.a_32 tptp.a_34)) % 0.43/0.65 (define @t46 () (= tptp.e_36 tptp.e_37)) % 0.43/0.65 (define @t47 () (not @t46)) % 0.43/0.65 (define @t48 () (tptp.select tptp.a_30 tptp.i_35)) % 0.43/0.65 (define @t49 () (tptp.select @t24 tptp.i_35)) % 0.43/0.65 (define @t50 () (= @t49 @t48)) % 0.43/0.65 (define @t51 () (= tptp.i4 tptp.i_35)) % 0.43/0.65 (define @t52 () (or @t51 @t50)) % 0.43/0.65 (define @t53 () (= tptp.e_31 (tptp.select @t22 tptp.i4))) % 0.43/0.65 (define @t54 () (tptp.select @t20 tptp.i4)) % 0.43/0.65 (define @t55 () (tptp.select @t24 tptp.i4)) % 0.43/0.65 (define @t56 () (and @t21 @t23 @t25 @t39 @t45 @t53 @t51)) % 0.43/0.65 (define @t57 () (not @t45)) % 0.43/0.65 (define @t58 () (not @t25)) % 0.43/0.65 (define @t59 () (not @t23)) % 0.43/0.65 (define @t60 () (not @t21)) % 0.43/0.65 (define @t61 () (@list false false false false false false false false)) % 0.43/0.65 (define @t62 () (tptp.select @t14 tptp.i_35)) % 0.43/0.65 (define @t63 () (tptp.select tptp.a_20 tptp.i_35)) % 0.43/0.65 (define @t64 () (= tptp.i2 tptp.i_35)) % 0.43/0.65 (define @t65 () (or @t64 (= @t62 @t63))) % 0.43/0.65 (define @t66 () (= @t63 @t62)) % 0.43/0.65 (define @t67 () (or @t64 @t66)) % 0.43/0.65 (define @t68 () (@list false)) % 0.43/0.65 (define @t69 () (@list @t9)) % 0.43/0.65 (define @t70 () (tptp.select @t22 tptp.i_35)) % 0.43/0.65 (define @t71 () (tptp.select tptp.a_28 tptp.i_35)) % 0.43/0.65 (define @t72 () (or @t51 (= @t70 @t71))) % 0.43/0.65 (define @t73 () (= @t71 @t70)) % 0.43/0.65 (define @t74 () (or @t51 @t73)) % 0.43/0.65 (define @t75 () (= tptp.e_33 @t55)) % 0.43/0.65 (define @t76 () (and @t19 @t21 @t23 @t25 @t39 @t40 @t45 @t53 @t75 @t51 @t50)) % 0.43/0.65 (define @t77 () (not @t50)) % 0.43/0.65 (define @t78 () (tptp.select @t18 tptp.i_35)) % 0.43/0.65 (define @t79 () (tptp.select tptp.a_24 tptp.i_35)) % 0.43/0.65 (define @t80 () (= tptp.i3 tptp.i_35)) % 0.43/0.65 (define @t81 () (or @t80 (= @t78 @t79))) % 0.43/0.65 (define @t82 () (= @t79 @t78)) % 0.43/0.65 (define @t83 () (or @t80 @t82)) % 0.43/0.65 (define @t84 () (tptp.select @t20 tptp.i_35)) % 0.43/0.65 (define @t85 () (tptp.select tptp.a_26 tptp.i_35)) % 0.43/0.65 (define @t86 () (or @t80 (= @t84 @t85))) % 0.43/0.65 (define @t87 () (= @t85 @t84)) % 0.43/0.65 (define @t88 () (or @t80 @t87)) % 0.43/0.65 (define @t89 () (not @t87)) % 0.43/0.65 (define @t90 () (not @t82)) % 0.43/0.65 (define @t91 () (not @t73)) % 0.43/0.65 (define @t92 () (not @t64)) % 0.43/0.65 (define @t93 () (tptp.select @t16 tptp.i2)) % 0.43/0.65 (define @t94 () (= tptp.e_25 @t93)) % 0.43/0.65 (define @t95 () (not @t94)) % 0.43/0.65 (define @t96 () (not @t33)) % 0.43/0.65 (define @t97 () (not @t19)) % 0.43/0.65 (define @t98 () (not @t17)) % 0.43/0.65 (define @t99 () (not @t15)) % 0.43/0.65 (define @t100 () (not @t11)) % 0.43/0.65 (define @t101 () (not @t66)) % 0.43/0.65 (define @t102 () (tptp.select @t10 tptp.i_35)) % 0.43/0.65 (define @t103 () (tptp.select @t10 tptp.i2)) % 0.43/0.65 (define @t104 () (and @t11 @t15 @t17 @t19 @t21 @t23 @t25 @t33 @t45 @t94 @t50 @t64 @t101 @t73 @t82)) % 0.43/0.65 (define @t105 () (tptp.select @t18 tptp.i3)) % 0.43/0.65 (define @t106 () (= tptp.e_27 @t105)) % 0.43/0.65 (define @t107 () (tptp.select @t20 tptp.i3)) % 0.43/0.65 (define @t108 () (= tptp.e_29 @t107)) % 0.43/0.65 (define @t109 () (tptp.select @t14 tptp.i3)) % 0.43/0.65 (define @t110 () (tptp.select @t16 tptp.i3)) % 0.43/0.65 (define @t111 () (and @t11 @t15 @t17 @t19 @t21 @t23 @t25 @t33 @t35 @t37 @t45 @t94 @t106 @t108 @t50 @t64 @t73 @t80)) % 0.43/0.65 (define @t112 () (not @t80)) % 0.43/0.65 (define @t113 () (not @t108)) % 0.43/0.65 (define @t114 () (not @t106)) % 0.43/0.65 (define @t115 () (not @t37)) % 0.43/0.65 (define @t116 () (not @t35)) % 0.43/0.65 (define @t117 () (tptp.select @t16 tptp.i_35)) % 0.43/0.65 (define @t118 () (tptp.select tptp.a_22 tptp.i_35)) % 0.43/0.65 (define @t119 () (= @t118 @t117)) % 0.43/0.65 (define @t120 () (not @t119)) % 0.43/0.65 (define @t121 () (tptp.store tptp.a_26 tptp.i1 tptp.e_19)) % 0.43/0.65 (define @t122 () (tptp.select @t121 tptp.i_35)) % 0.43/0.65 (define @t123 () (= @t122 @t85)) % 0.43/0.65 (define @t124 () (not @t123)) % 0.43/0.65 (define @t125 () (tptp.select @t121 tptp.i1)) % 0.43/0.65 (define @t126 () (= tptp.e_19 @t125)) % 0.43/0.65 (define @t127 () (not @t126)) % 0.43/0.65 (define @t128 () (= tptp.i1 tptp.i_35)) % 0.43/0.65 (define @t129 () (not @t128)) % 0.43/0.65 (define @t130 () (tptp.select @t12 tptp.i1)) % 0.43/0.65 (define @t131 () (= tptp.e_21 @t130)) % 0.43/0.65 (define @t132 () (not @t131)) % 0.43/0.65 (define @t133 () (not @t44)) % 0.43/0.65 (define @t134 () (not @t42)) % 0.43/0.65 (define @t135 () (not @t29)) % 0.43/0.65 (define @t136 () (not @t27)) % 0.43/0.65 (define @t137 () (not @t13)) % 0.43/0.65 (define @t138 () (not @t47)) % 0.43/0.65 (define @t139 () (tptp.select @t16 tptp.i1)) % 0.43/0.65 (define @t140 () (tptp.select tptp.a_22 tptp.i1)) % 0.43/0.65 (define @t141 () (and @t13 @t17 @t27 @t29 @t42 @t44 @t47 @t131 @t128 @t126 @t123)) % 0.43/0.65 (define @t142 () (= @t140 @t139)) % 0.43/0.65 (define @t143 () (not @t142)) % 0.43/0.65 (define @t144 () (or @t64 (= @t117 @t118))) % 0.43/0.65 (define @t145 () (or @t64 @t119)) % 0.43/0.65 (define @t146 () (tptp.select @t10 tptp.i1)) % 0.43/0.65 (define @t147 () (= tptp.e_19 @t146)) % 0.43/0.65 (define @t148 () (tptp.select @t14 tptp.i2)) % 0.43/0.65 (define @t149 () (= tptp.e_23 @t148)) % 0.43/0.65 (define @t150 () (tptp.select tptp.a_20 tptp.i1)) % 0.43/0.65 (define @t151 () (tptp.select @t12 tptp.i2)) % 0.43/0.65 (define @t152 () (and @t11 @t13 @t15 @t17 @t31 @t147 @t149 @t128 @t126 @t123 @t64 @t66)) % 0.43/0.65 (define @t153 () (tptp.select tptp.a_22 tptp.i3)) % 0.43/0.65 (define @t154 () (= @t110 @t153)) % 0.43/0.65 (define @t155 () (= tptp.i2 tptp.i3)) % 0.43/0.65 (define @t156 () (or @t155 @t154)) % 0.43/0.65 (define @t157 () (= @t109 (tptp.select tptp.a_20 tptp.i3))) % 0.43/0.65 (define @t158 () (tptp.select @t12 tptp.i3)) % 0.43/0.65 (define @t159 () (tptp.select @t10 tptp.i3)) % 0.43/0.65 (define @t160 () (and @t11 @t13 @t31 @t33 @t149 @t94 @t155 @t157)) % 0.43/0.65 (define @t161 () (not @t157)) % 0.43/0.65 (define @t162 () (not @t155)) % 0.43/0.65 (define @t163 () (not @t149)) % 0.43/0.65 (define @t164 () (not @t31)) % 0.43/0.65 (define @t165 () (or @t128 (= @t102 @t41))) % 0.43/0.65 (define @t166 () (= @t41 @t102)) % 0.43/0.65 (define @t167 () (or @t128 @t166)) % 0.43/0.65 (define @t168 () (tptp.select @t12 tptp.i_35)) % 0.43/0.65 (define @t169 () (or @t128 (= @t168 @t43))) % 0.43/0.65 (define @t170 () (= @t43 @t168)) % 0.43/0.65 (define @t171 () (or @t128 @t170)) % 0.43/0.65 (define @t172 () (forall @t6 (= @t1 @t5))) % 0.43/0.65 (define @t173 () (and @t11 @t13 @t15 @t31 @t42 @t44 @t149 @t166 @t64 @t66 @t170)) % 0.43/0.65 (define @t174 () (not @t170)) % 0.43/0.65 (define @t175 () (not @t166)) % 0.43/0.65 (define @t176 () (and @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t42 @t44 @t45 @t166 @t50 @t66 @t119 @t73 @t170 @t82 @t87)) % 0.43/0.65 (define @t177 () (and @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t35 @t37 @t42 @t44 @t45 @t106 @t108 @t154 @t157 @t166 @t50 @t73 @t170 @t80)) % 0.43/0.65 (define @t178 () (not @t154)) % 0.43/0.65 (define @t179 () (or @t155 @t157)) % 0.43/0.65 (define @t180 () (or @t128 @t123)) % 0.43/0.65 (define @t181 () (and @t11 @t17 @t33 @t147 @t94 @t128 @t126 @t64)) % 0.43/0.65 (define @t182 () (not @t147)) % 0.43/0.65 (define @t183 () (and @t155 @t92)) % 0.43/0.65 (define @t184 () (@list true false)) % 0.43/0.65 (define @t185 () (tptp.select @t14 tptp.i1)) % 0.43/0.65 (define @t186 () (= @t150 @t185)) % 0.43/0.65 (define @t187 () (and @t11 @t15 @t128 @t66)) % 0.43/0.65 (define @t188 () (tptp.store tptp.a_26 tptp.i_35 tptp.e_19)) % 0.43/0.65 (define @t189 () (tptp.select @t188 tptp.i_35)) % 0.43/0.65 (define @t190 () (= tptp.e_19 @t189)) % 0.43/0.65 (define @t191 () (not @t190)) % 0.43/0.65 (define @t192 () (and @t13 @t17 @t27 @t128 @t126 @t190 @t124 @t119)) % 0.43/0.65 (define @t193 () (and @t17 @t128 @t119)) % 0.43/0.65 (define @t194 () (and @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t29 @t45 @t131 @t128 @t50 @t66 @t73 @t142 @t82 @t87)) % 0.43/0.65 (define @t195 () (and @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t27 @t45 @t147 @t128 @t50 @t119 @t73 @t186 @t82 @t87)) % 0.43/0.65 (define @t196 () (not @t186)) % 0.43/0.65 (define @t197 () (and @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t27 @t35 @t37 @t45 @t147 @t106 @t108 @t154 @t157 @t128 @t50 @t73 @t80)) % 0.43/0.65 (assume @p1 @t7) % 0.43/0.65 (assume @p2 @t9) % 0.43/0.65 (assume @p3 @t11) % 0.43/0.65 (assume @p4 @t13) % 0.43/0.65 (assume @p5 @t15) % 0.43/0.65 (assume @p6 @t17) % 0.43/0.65 (assume @p7 @t19) % 0.43/0.65 (assume @p8 @t21) % 0.43/0.65 (assume @p9 @t23) % 0.43/0.65 (assume @p10 @t25) % 0.43/0.65 (assume @p11 @t27) % 0.43/0.65 (assume @p12 @t29) % 0.43/0.65 (assume @p13 @t31) % 0.43/0.65 (assume @p14 @t33) % 0.43/0.65 (assume @p15 @t35) % 0.43/0.65 (assume @p16 @t37) % 0.43/0.65 (assume @p17 @t39) % 0.43/0.65 (assume @p18 @t40) % 0.43/0.65 (assume @p19 @t42) % 0.43/0.65 (assume @p20 @t44) % 0.43/0.65 (assume @p21 (= tptp.i_35 (tptp.sk tptp.a1 tptp.a2))) % 0.43/0.65 (assume @p22 @t45) % 0.43/0.65 (assume @p23 @t47) % 0.43/0.65 (step @p24 :rule eq-symm :args (@t5 @t1)) % 0.43/0.65 (step @p25 :rule cong :premises (@p24) :args (@t7)) % 0.43/0.65 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 0.43/0.65 (step @p27 :rule instantiate :premises (@p26) :args ((@list tptp.a1 tptp.i1 tptp.e_19))) % 0.43/0.65 (step @p28 :rule instantiate :premises (@p2) :args ((@list tptp.i4 tptp.i_35 tptp.a_30 tptp.e_33))) % 0.43/0.65 (step @p29 :rule cnf_or_pos :args (@t52)) % 0.43/0.65 (step @p30 :rule reordering :premises (@p29) :args ((or @t51 @t50 (not @t52)))) % 0.43/0.65 (step @p31 :rule instantiate :premises (@p26) :args ((@list tptp.a_28 tptp.i4 tptp.e_31))) % 0.43/0.65 (assume-push @p1512 @t21) % 0.43/0.65 (assume-push @p1513 @t23) % 0.43/0.65 (assume-push @p1514 @t25) % 0.43/0.65 (assume-push @p1515 @t39) % 0.43/0.65 (assume-push @p1516 @t45) % 0.43/0.65 (assume-push @p1517 @t53) % 0.43/0.65 (assume-push @p1518 @t51) % 0.43/0.65 (assume-push @p1519 @t21) % 0.43/0.65 (assume-push @p1520 @t51) % 0.43/0.65 (assume-push @p1521 @t39) % 0.43/0.65 (assume-push @p1522 @t53) % 0.43/0.65 (assume-push @p1523 @t23) % 0.43/0.65 (assume-push @p1524 @t45) % 0.43/0.65 (assume-push @p1525 @t25) % 0.43/0.65 (step @p46 :rule symm :premises (@p8)) % 0.43/0.65 (step @p47 :rule cong :premises (@p46 @p1518) :args (@t54)) % 0.43/0.65 (step @p48 :rule refl :args (tptp.i4)) % 0.43/0.65 (step @p49 :rule cong :premises (@p8 @p48) :args (@t38)) % 0.43/0.65 (step @p50 :rule symm :premises (@p31)) % 0.43/0.65 (step @p51 :rule symm :premises (@p22)) % 0.43/0.65 (step @p52 :rule symm :premises (@p10)) % 0.43/0.65 (step @p53 :rule trans :premises (@p52 @p51 @p9)) % 0.43/0.65 (step @p54 :rule cong :premises (@p53 @p48) :args (@t55)) % 0.43/0.65 (step @p55 :rule symm :premises (@p1518)) % 0.43/0.65 (step @p56 :rule refl :args (@t24)) % 0.43/0.65 (step @p57 :rule cong :premises (@p56 @p55) :args (@t49)) % 0.43/0.65 (step @p58 :rule trans :premises (@p57 @p54 @p50 @p17 @p49 @p47)) % 0.43/0.65 (step-pop @p1526 :rule scope :premises (@p58)) % 0.43/0.65 (step-pop @p1527 :rule scope :premises (@p1526)) % 0.43/0.65 (step-pop @p1528 :rule scope :premises (@p1527)) % 0.43/0.65 (step-pop @p1529 :rule scope :premises (@p1528)) % 0.43/0.65 (step-pop @p1530 :rule scope :premises (@p1529)) % 0.43/0.65 (step-pop @p1531 :rule scope :premises (@p1530)) % 0.43/0.65 (step-pop @p1532 :rule scope :premises (@p1531)) % 0.43/0.65 (step @p59 :rule process_scope :premises (@p1532) :args (@t50)) % 0.43/0.65 (step @p67 :rule and_intro :premises (@p8 @p1518 @p17 @p31 @p9 @p22 @p10)) % 0.43/0.65 (step @p68 :rule modus_ponens :premises (@p67 @p59)) % 0.43/0.65 (step-pop @p1533 :rule scope :premises (@p68)) % 0.43/0.65 (step-pop @p1534 :rule scope :premises (@p1533)) % 0.43/0.65 (step-pop @p1535 :rule scope :premises (@p1534)) % 0.43/0.65 (step-pop @p1536 :rule scope :premises (@p1535)) % 0.43/0.65 (step-pop @p1537 :rule scope :premises (@p1536)) % 0.43/0.65 (step-pop @p1538 :rule scope :premises (@p1537)) % 0.43/0.65 (step-pop @p1539 :rule scope :premises (@p1538)) % 0.43/0.65 (step @p69 :rule process_scope :premises (@p1539) :args (@t50)) % 0.43/0.65 (step @p77 :rule implies_elim :premises (@p69)) % 0.43/0.65 (step @p78 :rule cnf_and_neg :args (@t56)) % 0.43/0.65 (step @p79 :rule resolution :premises (@p78 @p77) :args (true @t56)) % 0.43/0.65 (step @p80 :rule reordering :premises (@p79) :args ((or @t60 @t59 @t58 (not @t39) @t57 (not @t53) @t50 (not @t51)))) % 0.43/0.65 (step @p81 :rule chain_m_resolution :premises (@p80 @p31 @p22 @p17 @p10 @p9 @p8 @p30 @p28) :args (@t50 @t61 (@list @t53 @t45 @t39 @t25 @t23 @t21 @t51 @t52))) % 0.43/0.65 (step @p82 :rule eq-symm :args (@t62 @t63)) % 0.43/0.65 (step @p83 :rule refl :args (@t64)) % 0.43/0.65 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t65)) % 0.43/0.65 (step @p85 :rule refl :args (@t9)) % 0.43/0.65 (step @p86 :rule cong :premises (@p85 @p84) :args ((=> @t9 @t65))) % 0.43/0.65 (assume-push @p1540 @t9) % 0.43/0.65 (step @p88 :rule instantiate :premises (@p2) :args ((@list tptp.i2 tptp.i_35 tptp.a_20 tptp.e_23))) % 0.43/0.65 (step-pop @p1541 :rule scope :premises (@p88)) % 0.43/0.65 (step @p89 :rule process_scope :premises (@p1541) :args (@t65)) % 0.43/0.65 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 0.43/0.65 (step @p92 :rule implies_elim :premises (@p91)) % 0.43/0.65 (step @p93 :rule chain_m_resolution :premises (@p92 @p2) :args (@t67 @t68 @t69)) % 0.43/0.65 (step @p94 :rule cnf_or_pos :args (@t67)) % 0.43/0.65 (step @p95 :rule reordering :premises (@p94) :args ((or @t64 @t66 (not @t67)))) % 0.43/0.65 (step @p96 :rule eq-symm :args (@t70 @t71)) % 0.43/0.65 (step @p97 :rule refl :args (@t51)) % 0.43/0.65 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t72)) % 0.43/0.65 (step @p99 :rule cong :premises (@p85 @p98) :args ((=> @t9 @t72))) % 0.43/0.65 (assume-push @p1542 @t9) % 0.43/0.65 (step @p101 :rule instantiate :premises (@p2) :args ((@list tptp.i4 tptp.i_35 tptp.a_28 tptp.e_31))) % 0.43/0.65 (step-pop @p1543 :rule scope :premises (@p101)) % 0.43/0.65 (step @p102 :rule process_scope :premises (@p1543) :args (@t72)) % 0.43/0.65 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 0.43/0.65 (step @p105 :rule implies_elim :premises (@p104)) % 0.43/0.65 (step @p106 :rule chain_m_resolution :premises (@p105 @p2) :args (@t74 @t68 @t69)) % 0.43/0.65 (step @p107 :rule cnf_or_pos :args (@t74)) % 0.43/0.65 (step @p108 :rule reordering :premises (@p107) :args ((or @t51 @t73 (not @t74)))) % 0.43/0.65 (step @p109 :rule instantiate :premises (@p26) :args ((@list tptp.a_30 tptp.i4 tptp.e_33))) % 0.43/0.65 (assume-push @p1544 @t19) % 0.43/0.65 (assume-push @p1545 @t21) % 0.43/0.65 (assume-push @p1546 @t23) % 0.43/0.65 (assume-push @p1547 @t25) % 0.43/0.65 (assume-push @p1548 @t39) % 0.43/0.65 (assume-push @p1549 @t40) % 0.43/0.65 (assume-push @p1550 @t45) % 0.43/0.65 (assume-push @p1551 @t53) % 0.43/0.65 (assume-push @p1552 @t75) % 0.43/0.65 (assume-push @p1553 @t51) % 0.43/0.65 (assume-push @p1554 @t50) % 0.43/0.65 (assume-push @p1555 @t23) % 0.43/0.65 (assume-push @p1556 @t45) % 0.43/0.65 (assume-push @p1557 @t25) % 0.43/0.65 (assume-push @p1558 @t50) % 0.43/0.65 (assume-push @p1559 @t21) % 0.43/0.65 (assume-push @p1560 @t51) % 0.43/0.65 (assume-push @p1561 @t39) % 0.43/0.65 (assume-push @p1562 @t53) % 0.43/0.65 (assume-push @p1563 @t75) % 0.43/0.65 (assume-push @p1564 @t40) % 0.43/0.65 (assume-push @p1565 @t19) % 0.43/0.65 (step @p132 :rule refl :args (tptp.i_35)) % 0.43/0.65 (step @p51 :rule symm :premises (@p22)) % 0.43/0.65 (step @p52 :rule symm :premises (@p10)) % 0.43/0.65 (step @p53 :rule trans :premises (@p52 @p51 @p9)) % 0.43/0.65 (step @p133 :rule cong :premises (@p53 @p132) :args (@t49)) % 0.43/0.65 (step @p134 :rule symm :premises (@p1554)) % 0.43/0.65 (step @p46 :rule symm :premises (@p8)) % 0.43/0.65 (step @p135 :rule cong :premises (@p46 @p1553) :args (@t54)) % 0.43/0.65 (step @p48 :rule refl :args (tptp.i4)) % 0.43/0.65 (step @p49 :rule cong :premises (@p8 @p48) :args (@t38)) % 0.43/0.65 (step @p50 :rule symm :premises (@p31)) % 0.43/0.65 (step @p54 :rule cong :premises (@p53 @p48) :args (@t55)) % 0.43/0.65 (step @p136 :rule symm :premises (@p18)) % 0.43/0.65 (step @p137 :rule symm :premises (@p7)) % 0.43/0.65 (step @p138 :rule cong :premises (@p137 @p48) :args ((tptp.select @t18 tptp.i4))) % 0.43/0.65 (step @p139 :rule symm :premises (@p1553)) % 0.43/0.65 (step @p140 :rule cong :premises (@p7 @p139) :args (@t71)) % 0.43/0.65 (step @p141 :rule trans :premises (@p140 @p138 @p136 @p109 @p54 @p50 @p17 @p49 @p135 @p134 @p133)) % 0.43/0.65 (step-pop @p1566 :rule scope :premises (@p141)) % 0.43/0.65 (step-pop @p1567 :rule scope :premises (@p1566)) % 0.43/0.65 (step-pop @p1568 :rule scope :premises (@p1567)) % 0.43/0.65 (step-pop @p1569 :rule scope :premises (@p1568)) % 0.43/0.65 (step-pop @p1570 :rule scope :premises (@p1569)) % 0.43/0.65 (step-pop @p1571 :rule scope :premises (@p1570)) % 0.43/0.65 (step-pop @p1572 :rule scope :premises (@p1571)) % 0.43/0.65 (step-pop @p1573 :rule scope :premises (@p1572)) % 0.43/0.65 (step-pop @p1574 :rule scope :premises (@p1573)) % 0.43/0.65 (step-pop @p1575 :rule scope :premises (@p1574)) % 0.43/0.65 (step-pop @p1576 :rule scope :premises (@p1575)) % 0.43/0.65 (step @p142 :rule process_scope :premises (@p1576) :args (@t73)) % 0.43/0.65 (step @p154 :rule and_intro :premises (@p9 @p22 @p10 @p1554 @p8 @p1553 @p17 @p31 @p109 @p18 @p7)) % 0.43/0.65 (step @p155 :rule modus_ponens :premises (@p154 @p142)) % 0.43/0.65 (step-pop @p1577 :rule scope :premises (@p155)) % 0.43/0.65 (step-pop @p1578 :rule scope :premises (@p1577)) % 0.43/0.65 (step-pop @p1579 :rule scope :premises (@p1578)) % 0.43/0.65 (step-pop @p1580 :rule scope :premises (@p1579)) % 0.43/0.65 (step-pop @p1581 :rule scope :premises (@p1580)) % 0.43/0.65 (step-pop @p1582 :rule scope :premises (@p1581)) % 0.43/0.65 (step-pop @p1583 :rule scope :premises (@p1582)) % 0.43/0.65 (step-pop @p1584 :rule scope :premises (@p1583)) % 0.43/0.65 (step-pop @p1585 :rule scope :premises (@p1584)) % 0.43/0.65 (step-pop @p1586 :rule scope :premises (@p1585)) % 0.43/0.65 (step-pop @p1587 :rule scope :premises (@p1586)) % 0.43/0.65 (step @p156 :rule process_scope :premises (@p1587) :args (@t73)) % 0.43/0.65 (step @p168 :rule implies_elim :premises (@p156)) % 0.43/0.65 (step @p169 :rule cnf_and_neg :args (@t76)) % 0.43/0.65 (step @p170 :rule resolution :premises (@p169 @p168) :args (true @t76)) % 0.43/0.65 (step @p171 :rule chain_m_resolution :premises (@p170 @p109 @p31 @p22 @p18 @p17 @p10 @p9 @p8 @p7 @p108 @p106) :args ((or @t77 @t73) (@list false false false false false false false false false false false) (@list @t75 @t53 @t45 @t40 @t39 @t25 @t23 @t21 @t19 @t51 @t74))) % 0.43/0.65 (step @p172 :rule eq-symm :args (@t78 @t79)) % 0.43/0.65 (step @p173 :rule refl :args (@t80)) % 0.43/0.65 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t81)) % 0.43/0.65 (step @p175 :rule cong :premises (@p85 @p174) :args ((=> @t9 @t81))) % 0.43/0.65 (assume-push @p1588 @t9) % 0.43/0.65 (step @p177 :rule instantiate :premises (@p2) :args ((@list tptp.i3 tptp.i_35 tptp.a_24 tptp.e_27))) % 0.43/0.65 (step-pop @p1589 :rule scope :premises (@p177)) % 0.43/0.65 (step @p178 :rule process_scope :premises (@p1589) :args (@t81)) % 0.43/0.65 (step @p180 :rule eq_resolve :premises (@p178 @p175)) % 0.43/0.65 (step @p181 :rule implies_elim :premises (@p180)) % 0.43/0.65 (step @p182 :rule chain_m_resolution :premises (@p181 @p2) :args (@t83 @t68 @t69)) % 0.43/0.65 (step @p183 :rule cnf_or_pos :args (@t83)) % 0.43/0.65 (step @p184 :rule reordering :premises (@p183) :args ((or @t80 @t82 (not @t83)))) % 0.43/0.65 (step @p185 :rule eq-symm :args (@t84 @t85)) % 0.43/0.65 (step @p186 :rule nary_cong :premises (@p173 @p185) :args (@t86)) % 0.43/0.65 (step @p187 :rule cong :premises (@p85 @p186) :args ((=> @t9 @t86))) % 0.43/0.65 (assume-push @p1590 @t9) % 0.43/0.65 (step @p189 :rule instantiate :premises (@p2) :args ((@list tptp.i3 tptp.i_35 tptp.a_26 tptp.e_29))) % 0.43/0.65 (step-pop @p1591 :rule scope :premises (@p189)) % 0.43/0.65 (step @p190 :rule process_scope :premises (@p1591) :args (@t86)) % 0.43/0.65 (step @p192 :rule eq_resolve :premises (@p190 @p187)) % 0.43/0.65 (step @p193 :rule implies_elim :premises (@p192)) % 0.43/0.65 (step @p194 :rule chain_m_resolution :premises (@p193 @p2) :args (@t88 @t68 @t69)) % 0.43/0.65 (step @p195 :rule cnf_or_pos :args (@t88)) % 0.43/0.65 (step @p196 :rule reordering :premises (@p195) :args ((or @t80 @t87 (not @t88)))) % 0.43/0.65 (step @p197 :rule instantiate :premises (@p26) :args ((@list tptp.a_22 tptp.i2 tptp.e_25))) % 0.43/0.65 (step @p198 :rule refl :args (@t89)) % 0.43/0.65 (step @p199 :rule refl :args (@t90)) % 0.43/0.65 (step @p200 :rule refl :args (@t91)) % 0.43/0.65 (step @p201 :rule bool-double-not-elim :args (@t66)) % 0.43/0.65 (step @p202 :rule refl :args (@t92)) % 0.43/0.65 (step @p203 :rule refl :args 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(assume-push @p1598 @t25) % 0.43/0.65 (assume-push @p1599 @t33) % 0.43/0.65 (assume-push @p1600 @t45) % 0.43/0.65 (assume-push @p1601 @t94) % 0.43/0.65 (assume-push @p1602 @t50) % 0.43/0.65 (assume-push @p1603 @t64) % 0.43/0.65 (assume-push @p1604 @t101) % 0.43/0.65 (assume-push @p1605 @t73) % 0.43/0.65 (assume-push @p1606 @t82) % 0.43/0.65 (assume-push @p1607 @t101) % 0.43/0.65 (assume-push @p1608 @t11) % 0.43/0.65 (assume-push @p1609 @t64) % 0.43/0.65 (assume-push @p1610 @t33) % 0.43/0.65 (assume-push @p1611 @t94) % 0.43/0.65 (assume-push @p1612 @t17) % 0.43/0.65 (assume-push @p1613 @t15) % 0.43/0.65 (assume-push @p1614 @t82) % 0.43/0.65 (assume-push @p1615 @t19) % 0.43/0.65 (assume-push @p1616 @t73) % 0.43/0.65 (assume-push @p1617 @t23) % 0.43/0.65 (assume-push @p1618 @t45) % 0.43/0.65 (assume-push @p1619 @t25) % 0.43/0.65 (assume-push @p1620 @t50) % 0.43/0.65 (assume-push @p1621 @t21) % 0.43/0.65 (step @p245 :rule false_intro :premises (@p1604)) % 0.43/0.65 (step @p132 :rule refl 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:rule scope :premises (@p2318)) % 0.43/0.66 (step-pop @p2320 :rule scope :premises (@p2319)) % 0.43/0.66 (step-pop @p2321 :rule scope :premises (@p2320)) % 0.43/0.66 (step-pop @p2322 :rule scope :premises (@p2321)) % 0.43/0.66 (step-pop @p2323 :rule scope :premises (@p2322)) % 0.43/0.66 (step-pop @p2324 :rule scope :premises (@p2323)) % 0.43/0.66 (step-pop @p2325 :rule scope :premises (@p2324)) % 0.43/0.66 (step-pop @p2326 :rule scope :premises (@p2325)) % 0.43/0.66 (step-pop @p2327 :rule scope :premises (@p2326)) % 0.43/0.66 (step-pop @p2328 :rule scope :premises (@p2327)) % 0.43/0.66 (step-pop @p2329 :rule scope :premises (@p2328)) % 0.43/0.66 (step-pop @p2330 :rule scope :premises (@p2329)) % 0.43/0.66 (step-pop @p2331 :rule scope :premises (@p2330)) % 0.43/0.66 (step-pop @p2332 :rule scope :premises (@p2331)) % 0.43/0.66 (step-pop @p2333 :rule scope :premises (@p2332)) % 0.43/0.66 (step @p1356 :rule process_scope :premises (@p2333) :args (@t170)) % 0.43/0.66 (step @p1375 :rule and_intro :premises (@p4 @p2293 @p6 @p2297 @p8 @p2292 @p10 @p22 @p9 @p2294 @p7 @p2296 @p5 @p2291 @p2295 @p3 @p27 @p11)) % 0.43/0.66 (step @p1376 :rule modus_ponens :premises (@p1375 @p1356)) % 0.43/0.66 (step-pop @p2334 :rule scope :premises (@p1376)) % 0.43/0.66 (step-pop @p2335 :rule scope :premises (@p2334)) % 0.43/0.66 (step-pop @p2336 :rule scope :premises (@p2335)) % 0.43/0.66 (step-pop @p2337 :rule scope :premises (@p2336)) % 0.43/0.66 (step-pop @p2338 :rule scope :premises (@p2337)) % 0.43/0.66 (step-pop @p2339 :rule scope :premises (@p2338)) % 0.43/0.66 (step-pop @p2340 :rule scope :premises (@p2339)) % 0.43/0.66 (step-pop @p2341 :rule scope :premises (@p2340)) % 0.43/0.66 (step-pop @p2342 :rule scope :premises (@p2341)) % 0.43/0.66 (step-pop @p2343 :rule scope :premises (@p2342)) % 0.43/0.66 (step-pop @p2344 :rule scope :premises (@p2343)) % 0.43/0.66 (step-pop @p2345 :rule scope :premises (@p2344)) % 0.43/0.66 (step-pop @p2346 :rule scope :premises (@p2345)) % 0.43/0.66 (step-pop @p2347 :rule scope :premises (@p2346)) % 0.43/0.66 (step-pop @p2348 :rule scope :premises (@p2347)) % 0.43/0.66 (step-pop @p2349 :rule scope :premises (@p2348)) % 0.43/0.66 (step-pop @p2350 :rule scope :premises (@p2349)) % 0.43/0.66 (step-pop @p2351 :rule scope :premises (@p2350)) % 0.43/0.66 (step @p1377 :rule process_scope :premises (@p2351) :args (@t170)) % 0.43/0.66 (step @p1396 :rule implies_elim :premises (@p1377)) % 0.43/0.66 (step @p1397 :rule cnf_and_neg :args (@t195)) % 0.43/0.66 (step @p1398 :rule resolution :premises (@p1397 @p1396) :args (true @t195)) % 0.43/0.66 (step @p1399 :rule reordering :premises (@p1398) :args ((or @t100 @t137 @t99 @t98 @t97 @t60 @t59 @t58 @t136 @t57 @t182 @t129 @t77 @t120 @t91 @t170 @t196 @t90 @t89))) % 0.43/0.66 (step @p1400 :rule chain_m_resolution :premises (@p1399 @p27 @p22 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p3 @p743 @p741 @p898 @p23 @p22 @p20 @p19 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p3 @p1313 @p196 @p194 @p184 @p182 @p1091 @p590 @p588) :args ((or @t162 @t77 @t64 @t101 @t91 @t196 @t143) (@list false false false false false false false false false false false false false true true false false false false false false false false false false false false false false false false true false false) (@list @t147 @t45 @t27 @t25 @t23 @t21 @t19 @t17 @t15 @t13 @t11 @t128 @t171 @t170 @t46 @t45 @t44 @t42 @t25 @t23 @t21 @t19 @t17 @t15 @t13 @t11 @t166 @t87 @t88 @t82 @t83 @t80 @t119 @t145))) % 0.43/0.66 (step @p1401 :rule chain_m_resolution :premises (@p1400 @p81 @p1066 @p411 @p308 @p1121 @p1222) :args (@t162 (@list false true false false false false) (@list @t50 @t64 @t66 @t73 @t186 @t142))) % 0.43/0.66 (step @p1402 :rule chain_m_resolution :premises (@p1014 @p1401 @p1012) :args (@t157 @t184 (@list @t155 @t179))) % 0.43/0.66 (step @p1403 :rule chain_m_resolution :premises (@p665 @p1401 @p663) :args (@t154 @t184 (@list @t155 @t156))) % 0.43/0.66 (assume-push @p2352 @t11) % 0.43/0.66 (assume-push @p2353 @t13) % 0.43/0.66 (assume-push @p2354 @t15) % 0.43/0.66 (assume-push @p2355 @t17) % 0.43/0.66 (assume-push @p2356 @t19) % 0.43/0.66 (assume-push @p2357 @t21) % 0.43/0.66 (assume-push @p2358 @t23) % 0.43/0.66 (assume-push @p2359 @t25) % 0.43/0.66 (assume-push @p2360 @t27) % 0.43/0.66 (assume-push @p2361 @t35) % 0.43/0.66 (assume-push @p2362 @t37) % 0.43/0.66 (assume-push @p2363 @t45) % 0.43/0.66 (assume-push @p2364 @t147) % 0.43/0.66 (assume-push @p2365 @t106) % 0.43/0.66 (assume-push @p2366 @t108) % 0.43/0.66 (assume-push @p2367 @t154) % 0.43/0.66 (assume-push @p2368 @t157) % 0.43/0.66 (assume-push @p2369 @t128) % 0.43/0.66 (assume-push @p2370 @t50) % 0.43/0.66 (assume-push @p2371 @t73) % 0.43/0.66 (assume-push @p2372 @t80) % 0.43/0.66 (assume-push @p2373 @t13) % 0.43/0.66 (assume-push @p2374 @t80) % 0.43/0.66 (assume-push @p2375 @t154) % 0.43/0.66 (assume-push @p2376 @t17) % 0.43/0.66 (assume-push @p2377 @t35) % 0.43/0.66 (assume-push @p2378 @t106) % 0.43/0.66 (assume-push @p2379 @t19) % 0.43/0.66 (assume-push @p2380 @t73) % 0.43/0.66 (assume-push @p2381 @t23) % 0.43/0.66 (assume-push @p2382 @t45) % 0.43/0.66 (assume-push @p2383 @t25) % 0.43/0.66 (assume-push @p2384 @t50) % 0.43/0.66 (assume-push @p2385 @t21) % 0.43/0.66 (assume-push @p2386 @t108) % 0.43/0.66 (assume-push @p2387 @t37) % 0.43/0.66 (assume-push @p2388 @t15) % 0.43/0.66 (assume-push @p2389 @t157) % 0.43/0.66 (assume-push @p2390 @t11) % 0.43/0.66 (assume-push @p2391 @t128) % 0.43/0.66 (assume-push @p2392 @t147) % 0.43/0.66 (assume-push @p2393 @t27) % 0.43/0.66 (step @p132 :rule refl :args (tptp.i_35)) % 0.43/0.66 (step @p771 :rule cong :premises (@p4 @p132) :args (@t118)) % 0.43/0.66 (step @p625 :rule symm :premises (@p4)) % 0.43/0.66 (step @p1446 :rule cong :premises (@p625 @p2372) :args (@t158)) % 0.43/0.66 (step @p347 :rule refl :args (tptp.i3)) % 0.43/0.66 (step @p946 :rule cong :premises (@p4 @p347) :args (@t153)) % 0.43/0.66 (step @p947 :rule cong :premises (@p6 @p347) :args (@t34)) % 0.43/0.66 (step @p948 :rule symm :premises (@p306)) % 0.43/0.66 (step @p1447 :rule symm :premises (@p2372)) % 0.43/0.66 (step @p1448 :rule cong :premises (@p7 @p1447) :args (@t71)) % 0.43/0.66 (step @p1449 :rule symm :premises (@p2371)) % 0.43/0.66 (step @p51 :rule symm :premises (@p22)) % 0.43/0.66 (step @p52 :rule symm :premises (@p10)) % 0.43/0.66 (step @p53 :rule trans :premises (@p52 @p51 @p9)) % 0.43/0.66 (step @p133 :rule cong :premises (@p53 @p132) :args (@t49)) % 0.43/0.66 (step @p1450 :rule symm :premises (@p2370)) % 0.43/0.66 (step @p46 :rule symm :premises (@p8)) % 0.43/0.66 (step @p1451 :rule cong :premises (@p46 @p2372) :args (@t107)) % 0.43/0.66 (step @p954 :rule symm :premises (@p16)) % 0.43/0.66 (step @p345 :rule symm :premises (@p5)) % 0.43/0.66 (step @p955 :rule cong :premises (@p345 @p347) :args (@t109)) % 0.43/0.66 (step @p1452 :rule symm :premises (@p2368)) % 0.43/0.66 (step @p253 :rule symm :premises (@p3)) % 0.43/0.66 (step @p689 :rule cong :premises (@p253 @p347) :args (@t159)) % 0.43/0.66 (step @p255 :rule refl :args (@t10)) % 0.43/0.66 (step @p1453 :rule cong :premises (@p255 @p1447) :args (@t102)) % 0.43/0.66 (step @p1454 :rule cong :premises (@p3 @p2369) :args (@t150)) % 0.43/0.66 (step @p474 :rule refl :args (tptp.i1)) % 0.43/0.66 (step @p1037 :rule cong :premises (@p253 @p474) :args (@t146)) % 0.43/0.66 (step @p1159 :rule symm :premises (@p11)) % 0.43/0.66 (step @p1455 :rule symm :premises (@p2369)) % 0.43/0.66 (step @p456 :rule refl :args (tptp.a2)) % 0.43/0.66 (step @p1456 :rule cong :premises (@p456 @p1455) :args (@t43)) % 0.43/0.66 (step @p1457 :rule trans :premises (@p1456 @p1159 @p27 @p1037 @p1454 @p1453 @p689 @p1452 @p955 @p954 @p307 @p1451 @p1450 @p133 @p1449 @p1448 @p948 @p15 @p947 @p2367 @p946 @p1446 @p771)) % 0.43/0.66 (step-pop @p2394 :rule scope :premises (@p1457)) % 0.43/0.66 (step-pop @p2395 :rule scope :premises (@p2394)) % 0.43/0.66 (step-pop @p2396 :rule scope :premises (@p2395)) % 0.43/0.66 (step-pop @p2397 :rule scope :premises (@p2396)) % 0.43/0.66 (step-pop @p2398 :rule scope :premises (@p2397)) % 0.43/0.66 (step-pop @p2399 :rule scope :premises (@p2398)) % 0.43/0.66 (step-pop @p2400 :rule scope :premises (@p2399)) % 0.43/0.66 (step-pop @p2401 :rule scope :premises (@p2400)) % 0.43/0.66 (step-pop @p2402 :rule scope :premises (@p2401)) % 0.43/0.66 (step-pop @p2403 :rule scope :premises (@p2402)) % 0.43/0.66 (step-pop @p2404 :rule scope :premises (@p2403)) % 0.43/0.66 (step-pop @p2405 :rule scope :premises (@p2404)) % 0.43/0.66 (step-pop @p2406 :rule scope :premises (@p2405)) % 0.43/0.66 (step-pop @p2407 :rule scope :premises (@p2406)) % 0.43/0.66 (step-pop @p2408 :rule scope :premises (@p2407)) % 0.43/0.66 (step-pop @p2409 :rule scope :premises (@p2408)) % 0.43/0.66 (step-pop @p2410 :rule scope :premises (@p2409)) % 0.43/0.66 (step-pop @p2411 :rule scope :premises (@p2410)) % 0.43/0.66 (step-pop @p2412 :rule scope :premises (@p2411)) % 0.43/0.66 (step-pop @p2413 :rule scope :premises (@p2412)) % 0.43/0.66 (step-pop @p2414 :rule scope :premises (@p2413)) % 0.43/0.66 (step @p1458 :rule process_scope :premises (@p2414) :args (@t170)) % 0.43/0.66 (step @p1480 :rule and_intro :premises (@p4 @p2372 @p2367 @p6 @p15 @p306 @p7 @p2371 @p9 @p22 @p10 @p2370 @p8 @p307 @p16 @p5 @p2368 @p3 @p2369 @p27 @p11)) % 0.43/0.66 (step @p1481 :rule modus_ponens :premises (@p1480 @p1458)) % 0.43/0.66 (step-pop @p2415 :rule scope :premises (@p1481)) % 0.43/0.66 (step-pop @p2416 :rule scope :premises (@p2415)) % 0.43/0.66 (step-pop @p2417 :rule scope :premises (@p2416)) % 0.43/0.66 (step-pop @p2418 :rule scope :premises (@p2417)) % 0.43/0.66 (step-pop @p2419 :rule scope :premises (@p2418)) % 0.43/0.66 (step-pop @p2420 :rule scope :premises (@p2419)) % 0.43/0.66 (step-pop @p2421 :rule scope :premises (@p2420)) % 0.43/0.66 (step-pop @p2422 :rule scope :premises (@p2421)) % 0.43/0.66 (step-pop @p2423 :rule scope :premises (@p2422)) % 0.43/0.66 (step-pop @p2424 :rule scope :premises (@p2423)) % 0.43/0.66 (step-pop @p2425 :rule scope :premises (@p2424)) % 0.43/0.66 (step-pop @p2426 :rule scope :premises (@p2425)) % 0.43/0.66 (step-pop @p2427 :rule scope :premises (@p2426)) % 0.43/0.66 (step-pop @p2428 :rule scope :premises (@p2427)) % 0.43/0.66 (step-pop @p2429 :rule scope :premises (@p2428)) % 0.43/0.66 (step-pop @p2430 :rule scope :premises (@p2429)) % 0.43/0.66 (step-pop @p2431 :rule scope :premises (@p2430)) % 0.43/0.66 (step-pop @p2432 :rule scope :premises (@p2431)) % 0.43/0.66 (step-pop @p2433 :rule scope :premises (@p2432)) % 0.43/0.66 (step-pop @p2434 :rule scope :premises (@p2433)) % 0.43/0.66 (step-pop @p2435 :rule scope :premises (@p2434)) % 0.43/0.66 (step @p1482 :rule process_scope :premises (@p2435) :args (@t170)) % 0.43/0.66 (step @p1504 :rule implies_elim :premises (@p1482)) % 0.43/0.66 (step @p1505 :rule cnf_and_neg :args (@t197)) % 0.43/0.66 (step @p1506 :rule resolution :premises (@p1505 @p1504) :args (true @t197)) % 0.43/0.66 (step @p1507 :rule reordering :premises (@p1506) :args ((or @t100 @t137 @t99 @t98 @t97 @t60 @t59 @t58 @t136 @t116 @t115 @t57 @t182 @t114 @t113 @t178 @t161 @t129 @t77 @t91 @t170 @t112))) % 0.43/0.66 (step @p1508 :rule chain_m_resolution :premises (@p1507 @p3 @p4 @p5 @p6 @p7 @p8 @p9 @p10 @p11 @p15 @p16 @p22 @p27 @p306 @p307 @p1403 @p1402 @p1093 @p81 @p308 @p1198) :args (@t112 (@list false false false false false false false false false false false false false false false false false false false false true) (@list @t11 @t13 @t15 @t17 @t19 @t21 @t23 @t25 @t27 @t35 @t37 @t45 @t147 @t106 @t108 @t154 @t157 @t128 @t50 @t73 @t170))) % 0.43/0.66 (step @p1509 :rule chain_m_resolution :premises (@p184 @p1508 @p182) :args (@t82 @t184 (@list @t80 @t83))) % 0.43/0.66 (step @p1510 :rule chain_m_resolution :premises (@p196 @p1508 @p194) :args (@t87 @t184 (@list @t80 @t88))) % 0.43/0.66 (step @p1511 false :rule chain_m_resolution :premises (@p1399 @p1510 @p1509 @p1122 @p1093 @p1198 @p308 @p1121 @p81 @p27 @p22 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p3) :args (false (@list false false false false true false false false false false false false false false false false false false false) (@list @t87 @t82 @t119 @t128 @t170 @t73 @t186 @t50 @t147 @t45 @t27 @t25 @t23 @t21 @t19 @t17 @t15 @t13 @t11))) % 0.43/0.66 ) % 0.43/0.66 % SZS output end Proof % 0.43/0.66 % cvc5 exiting %------------------------------------------------------------------------------