%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU144+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:50:42 AM UTC 2026 % Result : Theorem 15.84s 16.12s % Output : Proof 15.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU144+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:32:07 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.84/16.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.84/16.12 --- Run --no-e-matching --full-saturate-quant at 6... % 15.84/16.12 % SZS status Theorem % 15.84/16.12 % SZS output start Proof % 15.84/16.12 ( % 15.84/16.12 (declare-sort $$unsorted 0) % 15.84/16.12 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 15.84/16.12 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.84/16.12 (declare-const tptp.empty_set $$unsorted) % 15.84/16.12 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.84/16.12 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 15.84/16.12 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 15.84/16.12 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.84/16.12 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.84/16.12 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 15.84/16.12 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.84/16.12 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.84/16.12 (define @t1 () (@var "A" $$unsorted)) % 15.84/16.12 (define @t2 () (@var "B" $$unsorted)) % 15.84/16.12 (define @t3 () (not (tptp.in @t2 @t1))) % 15.84/16.12 (define @t4 () (tptp.in @t1 @t2)) % 15.84/16.12 (define @t5 () (@list @t1 @t2)) % 15.84/16.12 (define @t6 () (tptp.proper_subset @t2 @t1)) % 15.84/16.12 (define @t7 () (tptp.proper_subset @t1 @t2)) % 15.84/16.12 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 15.84/16.12 (define @t9 () (tptp.set_union2 @t2 @t1)) % 15.84/16.12 (define @t10 () (tptp.set_union2 @t1 @t2)) % 15.84/16.12 (define @t11 () (tptp.set_intersection2 @t1 @t2)) % 15.84/16.12 (define @t12 () (tptp.subset @t1 @t2)) % 15.84/16.12 (define @t13 () (= @t1 @t2)) % 15.84/16.12 (define @t14 () (@var "C" $$unsorted)) % 15.84/16.12 (define @t15 () (tptp.in @t14 @t2)) % 15.84/16.12 (define @t16 () (@list @t14)) % 15.84/16.12 (define @t17 () (tptp.singleton @t1)) % 15.84/16.12 (define @t18 () (= @t1 tptp.empty_set)) % 15.84/16.12 (define @t19 () (@list @t1)) % 15.84/16.12 (define @t20 () (@var "D" $$unsorted)) % 15.84/16.12 (define @t21 () (or (= @t20 @t1) (= @t20 @t2))) % 15.84/16.12 (define @t22 () (tptp.in @t20 @t14)) % 15.84/16.12 (define @t23 () (= @t22 @t21)) % 15.84/16.12 (define @t24 () (@list @t20)) % 15.84/16.12 (define @t25 () (forall @t24 @t23)) % 15.84/16.12 (define @t26 () (= (= @t14 @t8) @t25)) % 15.84/16.12 (define @t27 () (@list @t1 @t2 @t14)) % 15.84/16.12 (define @t28 () (forall @t27 @t26)) % 15.84/16.12 (define @t29 () (tptp.in @t20 @t2)) % 15.84/16.12 (define @t30 () (tptp.in @t20 @t1)) % 15.84/16.12 (define @t31 () (tptp.in @t14 @t1)) % 15.84/16.12 (define @t32 () (forall @t16 (=> @t31 @t15))) % 15.84/16.12 (define @t33 () (= @t12 @t32)) % 15.84/16.12 (define @t34 () (forall @t5 @t33)) % 15.84/16.12 (define @t35 () (tptp.set_difference @t1 @t2)) % 15.84/16.12 (define @t36 () (tptp.disjoint @t1 @t2)) % 15.84/16.12 (define @t37 () (forall @t5 (= @t36 (= @t11 tptp.empty_set)))) % 15.84/16.12 (define @t38 () (not @t13)) % 15.84/16.12 (define @t39 () (tptp.empty @t1)) % 15.84/16.12 (define @t40 () (not @t39)) % 15.84/16.12 (define @t41 () (forall @t19 (not (= @t17 tptp.empty_set)))) % 15.84/16.12 (define @t42 () (tptp.subset @t17 @t2)) % 15.84/16.12 (define @t43 () (forall @t5 (= @t42 @t4))) % 15.84/16.12 (define @t44 () (not @t43)) % 15.84/16.12 (define @t45 () (= @t35 tptp.empty_set)) % 15.84/16.12 (define @t46 () (forall @t5 (= @t45 @t12))) % 15.84/16.12 (define @t47 () (tptp.set_intersection2 @t2 @t14)) % 15.84/16.12 (define @t48 () (tptp.subset @t1 @t14)) % 15.84/16.12 (define @t49 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 15.84/16.12 (define @t50 () (tptp.set_difference @t1 tptp.empty_set)) % 15.84/16.12 (define @t51 () (forall @t19 (= @t50 @t1))) % 15.84/16.12 (define @t52 () (and @t31 @t15)) % 15.84/16.12 (define @t53 () (exists @t16 @t52)) % 15.84/16.12 (define @t54 () (and @t53 @t36)) % 15.84/16.12 (define @t55 () (not @t54)) % 15.84/16.12 (define @t56 () (forall @t16 (not @t52))) % 15.84/16.12 (define @t57 () (not @t36)) % 15.84/16.12 (define @t58 () (and @t57 @t56)) % 15.84/16.12 (define @t59 () (not @t58)) % 15.84/16.12 (define @t60 () (and @t59 @t55)) % 15.84/16.12 (define @t61 () (forall @t5 @t60)) % 15.84/16.12 (define @t62 () (tptp.set_difference @t1 @t35)) % 15.84/16.12 (define @t63 () (forall @t5 (= @t62 @t11))) % 15.84/16.12 (define @t64 () (tptp.in @t14 @t11)) % 15.84/16.12 (define @t65 () (tptp.unordered_pair @t1 @t1)) % 15.84/16.12 (define @t66 () (forall @t19 (= @t65 @t17))) % 15.84/16.12 (define @t67 () (tptp.empty @t2)) % 15.84/16.12 (define @t68 () (forall @t5 (= @t4 @t42))) % 15.84/16.12 (define @t69 () (@quantifiers_skolemize @t68 1)) % 15.84/16.12 (define @t70 () (@quantifiers_skolemize @t68 0)) % 15.84/16.12 (define @t71 () (tptp.singleton @t70)) % 15.84/16.12 (define @t72 () (tptp.subset @t71 @t69)) % 15.84/16.12 (define @t73 () (tptp.in @t70 @t69)) % 15.84/16.12 (define @t74 () (= @t73 @t72)) % 15.84/16.12 (define @t75 () (@list @t71 @t69)) % 15.84/16.12 (define @t76 () (tptp.in @t14 @t69)) % 15.84/16.12 (define @t77 () (not (tptp.in @t14 @t71))) % 15.84/16.12 (define @t78 () (forall @t16 (or @t77 @t76))) % 15.84/16.12 (define @t79 () (= @t72 @t78)) % 15.84/16.12 (define @t80 () (not @t78)) % 15.84/16.12 (define @t81 () (@quantifiers_skolemize @t78 0)) % 15.84/16.12 (define @t82 () (tptp.in @t81 @t69)) % 15.84/16.12 (define @t83 () (tptp.in @t81 @t71)) % 15.84/16.12 (define @t84 () (not @t83)) % 15.84/16.12 (define @t85 () (or @t84 @t82)) % 15.84/16.12 (define @t86 () (not @t85)) % 15.84/16.12 (define @t87 () (tptp.in @t20 @t71)) % 15.84/16.12 (define @t88 () (= @t70 @t20)) % 15.84/16.12 (define @t89 () (or @t88 @t88)) % 15.84/16.12 (define @t90 () (forall @t24 (= @t87 @t89))) % 15.84/16.12 (define @t91 () (tptp.unordered_pair @t70 @t70)) % 15.84/16.12 (define @t92 () (= (= @t91 @t71) @t90)) % 15.84/16.12 (define @t93 () (forall @t27 (= (= @t8 @t14) (forall @t24 (= @t22 (or (= @t1 @t20) (= @t2 @t20))))))) % 15.84/16.12 (define @t94 () (forall @t24 (= (= @t20 @t70) @t87))) % 15.84/16.12 (define @t95 () (= @t71 @t91)) % 15.84/16.12 (define @t96 () (= @t95 @t94)) % 15.84/16.12 (define @t97 () (@list false)) % 15.84/16.12 (define @t98 () (@list @t70)) % 15.84/16.12 (define @t99 () (@list false false)) % 15.84/16.12 (define @t100 () (= @t81 @t70)) % 15.84/16.12 (define @t101 () (= @t100 @t83)) % 15.84/16.12 (define @t102 () (= @t70 @t81)) % 15.84/16.12 (define @t103 () (= @t83 @t102)) % 15.84/16.12 (define @t104 () (@list @t94)) % 15.84/16.12 (define @t105 () (not @t102)) % 15.84/16.12 (define @t106 () (not @t73)) % 15.84/16.12 (define @t107 () (not @t82)) % 15.84/16.12 (define @t108 () (and @t73 @t102 @t107)) % 15.84/16.12 (define @t109 () (@var "BOUND_VARIABLE_7829" $$unsorted)) % 15.84/16.12 (define @t110 () (@var "BOUND_VARIABLE_7843" $$unsorted)) % 15.84/16.12 (define @t111 () (not (tptp.in @t110 @t109))) % 15.84/16.12 (define @t112 () (@var "BOUND_VARIABLE_7827" $$unsorted)) % 15.84/16.12 (define @t113 () (not (tptp.in @t110 @t112))) % 15.84/16.12 (define @t114 () (not (tptp.disjoint @t112 @t109))) % 15.84/16.12 (define @t115 () (or @t113 @t111)) % 15.84/16.12 (define @t116 () (or @t115 @t114)) % 15.84/16.12 (define @t117 () (forall (@list @t112 @t109 @t110) @t116)) % 15.84/16.12 (define @t118 () (@list @t110)) % 15.84/16.12 (define @t119 () (forall @t118 @t116)) % 15.84/16.12 (define @t120 () (@list @t112 @t109)) % 15.84/16.12 (define @t121 () (forall @t118 @t115)) % 15.84/16.12 (define @t122 () (or @t121 @t114)) % 15.84/16.12 (define @t123 () (forall @t120 (or (forall @t16 (or (not (tptp.in @t14 @t112)) (not (tptp.in @t14 @t109)))) @t114))) % 15.84/16.12 (define @t124 () (@var "BOUND_VARIABLE_7814" $$unsorted)) % 15.84/16.12 (define @t125 () (@var "BOUND_VARIABLE_7812" $$unsorted)) % 15.84/16.12 (define @t126 () (forall (@list @t125 @t124) (or (tptp.disjoint @t125 @t124) (not (forall @t16 (or (not (tptp.in @t14 @t125)) (not (tptp.in @t14 @t124)))))))) % 15.84/16.12 (define @t127 () (forall @t16 (or (not @t31) (not @t15)))) % 15.84/16.12 (define @t128 () (or @t127 @t57)) % 15.84/16.12 (define @t129 () (forall @t5 @t128)) % 15.84/16.12 (define @t130 () (@list @t1 @t2)) % 15.84/16.12 (define @t131 () (not @t127)) % 15.84/16.12 (define @t132 () (or @t36 @t131)) % 15.84/16.12 (define @t133 () (forall @t5 @t132)) % 15.84/16.12 (define @t134 () (and @t133 @t129)) % 15.84/16.12 (define @t135 () (and (not (and @t57 @t127)) (not (and @t131 @t36)))) % 15.84/16.12 (define @t136 () (not @t56)) % 15.84/16.12 (define @t137 () (@list @t69 @t71)) % 15.84/16.12 (define @t138 () (tptp.set_intersection2 @t69 @t71)) % 15.84/16.12 (define @t139 () (tptp.disjoint @t69 @t71)) % 15.84/16.12 (define @t140 () (= @t139 (= @t138 tptp.empty_set))) % 15.84/16.12 (define @t141 () (= tptp.empty_set @t138)) % 15.84/16.12 (define @t142 () (= @t139 @t141)) % 15.84/16.12 (define @t143 () (tptp.set_difference @t71 @t69)) % 15.84/16.12 (define @t144 () (= tptp.empty_set @t143)) % 15.84/16.12 (define @t145 () (= @t72 @t144)) % 15.84/16.12 (define @t146 () (not (= @t71 tptp.empty_set))) % 15.84/16.12 (define @t147 () (= tptp.empty_set @t71)) % 15.84/16.12 (define @t148 () (not @t147)) % 15.84/16.12 (define @t149 () (not @t141)) % 15.84/16.12 (define @t150 () (tptp.set_difference @t71 @t143)) % 15.84/16.12 (define @t151 () (tptp.set_intersection2 @t71 @t69)) % 15.84/16.12 (define @t152 () (= @t151 @t150)) % 15.84/16.12 (define @t153 () (not @t152)) % 15.84/16.12 (define @t154 () (not @t144)) % 15.84/16.12 (define @t155 () (= @t138 @t151)) % 15.84/16.12 (define @t156 () (not @t155)) % 15.84/16.12 (define @t157 () (= @t71 (tptp.set_difference @t71 tptp.empty_set))) % 15.84/16.12 (define @t158 () (not @t157)) % 15.84/16.12 (define @t159 () (= tptp.empty_set @t151)) % 15.84/16.12 (define @t160 () (not @t159)) % 15.84/16.12 (define @t161 () (and @t148 @t157 @t155 @t144 @t152)) % 15.84/16.12 (define @t162 () (not @t139)) % 15.84/16.12 (define @t163 () (@list true false)) % 15.84/16.12 (define @t164 () (forall @t16 (or (not @t76) @t77))) % 15.84/16.12 (define @t165 () (not @t164)) % 15.84/16.12 (define @t166 () (or @t139 @t165)) % 15.84/16.12 (define @t167 () (@quantifiers_skolemize @t164 0)) % 15.84/16.12 (define @t168 () (tptp.in @t167 @t71)) % 15.84/16.12 (define @t169 () (not @t168)) % 15.84/16.12 (define @t170 () (tptp.in @t167 @t69)) % 15.84/16.12 (define @t171 () (not @t170)) % 15.84/16.12 (define @t172 () (or @t171 @t169)) % 15.84/16.12 (define @t173 () (not @t172)) % 15.84/16.12 (define @t174 () (@list true)) % 15.84/16.12 (define @t175 () (@list @t172)) % 15.84/16.12 (define @t176 () (= @t167 @t70)) % 15.84/16.12 (define @t177 () (= @t176 @t168)) % 15.84/16.12 (define @t178 () (= @t70 @t167)) % 15.84/16.12 (define @t179 () (= @t168 @t178)) % 15.84/16.12 (define @t180 () (not @t178)) % 15.84/16.12 (define @t181 () (and @t106 @t178 @t170)) % 15.84/16.12 (assume @p1 (forall @t5 (=> @t4 @t3))) % 15.84/16.12 (assume @p2 (forall @t5 (=> @t7 (not @t6)))) % 15.84/16.12 (assume @p3 (forall @t5 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 15.84/16.12 (assume @p4 (forall @t5 (= @t10 @t9))) % 15.84/16.12 (assume @p5 (forall @t5 (= @t11 (tptp.set_intersection2 @t2 @t1)))) % 15.84/16.12 (assume @p6 (forall @t5 (= @t13 (and @t12 (tptp.subset @t2 @t1))))) % 15.84/16.12 (assume @p7 (forall @t5 (= (= @t2 @t17) (forall @t16 (= @t15 (= @t14 @t1)))))) % 15.84/16.12 (assume @p8 (forall @t19 (= @t18 (forall (@list @t2) @t3)))) % 15.84/16.12 (assume @p9 @t28) % 15.84/16.12 (assume @p10 (forall @t27 (= (= @t14 @t10) (forall @t24 (= @t22 (or @t30 @t29)))))) % 15.84/16.12 (assume @p11 @t34) % 15.84/16.12 (assume @p12 (forall @t27 (= (= @t14 @t11) (forall @t24 (= @t22 (and @t30 @t29)))))) % 15.84/16.12 (assume @p13 (forall @t27 (= (= @t14 @t35) (forall @t24 (= @t22 (and @t30 (not @t29))))))) % 15.84/16.12 (assume @p14 @t37) % 15.84/16.12 (assume @p15 (forall @t5 (= @t7 (and @t12 @t38)))) % 15.84/16.12 (assume @p16 true) % 15.84/16.12 (assume @p17 (tptp.empty tptp.empty_set)) % 15.84/16.12 (assume @p18 (forall @t5 (=> @t40 (not (tptp.empty @t10))))) % 15.84/16.12 (assume @p19 (forall @t5 (=> @t40 (not (tptp.empty @t9))))) % 15.84/16.12 (assume @p20 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 15.84/16.12 (assume @p21 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 15.84/16.12 (assume @p22 (forall @t5 (not (tptp.proper_subset @t1 @t1)))) % 15.84/16.12 (assume @p23 @t41) % 15.84/16.12 (assume @p24 @t44) % 15.84/16.12 (assume @p25 @t46) % 15.84/16.12 (assume @p26 (exists @t19 @t39)) % 15.84/16.12 (assume @p27 (exists @t19 @t40)) % 15.84/16.12 (assume @p28 (forall @t5 (tptp.subset @t1 @t1))) % 15.84/16.12 (assume @p29 (forall @t5 (=> @t36 (tptp.disjoint @t2 @t1)))) % 15.84/16.12 (assume @p30 (forall @t5 (=> @t12 (= @t10 @t2)))) % 15.84/16.12 (assume @p31 (forall @t5 (tptp.subset @t11 @t1))) % 15.84/16.12 (assume @p32 (forall @t27 (=> (and @t12 @t48) (tptp.subset @t1 @t47)))) % 15.84/16.12 (assume @p33 (forall @t19 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 15.84/16.12 (assume @p34 (forall @t27 (=> (and @t12 (tptp.subset @t2 @t14)) @t48))) % 15.84/16.12 (assume @p35 (forall @t27 (=> @t12 (tptp.subset (tptp.set_intersection2 @t1 @t14) @t47)))) % 15.84/16.12 (assume @p36 (forall @t5 (=> @t12 (= @t11 @t1)))) % 15.84/16.12 (assume @p37 (forall @t19 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 15.84/16.12 (assume @p38 (forall @t5 (=> (forall @t16 (= @t31 @t15)) @t13))) % 15.84/16.12 (assume @p39 (forall @t19 (tptp.subset tptp.empty_set @t1))) % 15.84/16.12 (assume @p40 (forall @t27 (=> @t12 (tptp.subset (tptp.set_difference @t1 @t14) (tptp.set_difference @t2 @t14))))) % 15.84/16.12 (assume @p41 (forall @t5 (tptp.subset @t35 @t1))) % 15.84/16.12 (assume @p42 (forall @t5 (= @t49 @t10))) % 15.84/16.12 (assume @p43 @t51) % 15.84/16.12 (assume @p44 @t61) % 15.84/16.12 (assume @p45 (forall @t19 (=> (tptp.subset @t1 tptp.empty_set) @t18))) % 15.84/16.12 (assume @p46 (forall @t5 (= (tptp.set_difference @t10 @t2) @t35))) % 15.84/16.12 (assume @p47 (forall @t5 (=> @t12 (= @t2 @t49)))) % 15.84/16.12 (assume @p48 @t63) % 15.84/16.12 (assume @p49 (forall @t19 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 15.84/16.12 (assume @p50 (forall @t5 (and (not (and @t57 (forall @t16 (not @t64)))) (not (and (exists @t16 @t64) @t36))))) % 15.84/16.12 (assume @p51 (forall @t5 (not (and @t12 @t6)))) % 15.84/16.12 (assume @p52 (forall @t27 (=> (and @t12 (tptp.disjoint @t2 @t14)) (tptp.disjoint @t1 @t14)))) % 15.84/16.12 (assume @p53 @t66) % 15.84/16.12 (assume @p54 (forall @t19 (=> @t39 @t18))) % 15.84/16.12 (assume @p55 (forall @t5 (not (and @t4 @t67)))) % 15.84/16.12 (assume @p56 (forall @t5 (tptp.subset @t1 @t10))) % 15.84/16.12 (assume @p57 (forall @t5 (= @t36 (= @t35 @t1)))) % 15.84/16.12 (assume @p58 (forall @t5 (not (and @t39 @t38 @t67)))) % 15.84/16.12 (assume @p59 (forall @t27 (=> (and @t12 (tptp.subset @t14 @t2)) (tptp.subset (tptp.set_union2 @t1 @t14) @t2)))) % 15.84/16.12 (step @p60 :rule eq-symm :args (@t42 @t4)) % 15.84/16.12 (step @p61 :rule cong :premises (@p60) :args (@t43)) % 15.84/16.12 (step @p62 :rule cong :premises (@p61) :args (@t44)) % 15.84/16.12 (step @p63 :rule eq_resolve :premises (@p24 @p62)) % 15.84/16.12 (step @p64 :rule skolemize :premises (@p63)) % 15.84/16.12 (step @p65 :rule cnf_equiv_neg2 :args (@t74)) % 15.84/16.12 (step @p66 :rule bool-impl-elim :args (@t31 @t15)) % 15.84/16.12 (step @p67 :rule cong :premises (@p66) :args (@t32)) % 15.84/16.12 (step @p68 :rule refl :args (@t12)) % 15.84/16.12 (step @p69 :rule cong :premises (@p68 @p67) :args (@t33)) % 15.84/16.12 (step @p70 :rule cong :premises (@p69) :args (@t34)) % 15.84/16.12 (step @p71 :rule eq_resolve :premises (@p11 @p70)) % 15.84/16.12 (step @p72 :rule instantiate :premises (@p71) :args (@t75)) % 15.84/16.12 (step @p73 :rule cnf_equiv_pos2 :args (@t79)) % 15.84/16.12 (step @p74 :rule reordering :premises (@p73) :args ((or @t72 @t80 (not @t79)))) % 15.84/16.12 (step @p75 :rule refl :args (@t86)) % 15.84/16.12 (step @p76 :rule bool-double-not-elim :args (@t78)) % 15.84/16.12 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t80) @t86))) % 15.84/16.12 (assume-push @p409 @t80) % 15.84/16.12 (step @p79 :rule skolemize :premises (@p409)) % 15.84/16.12 (step-pop @p410 :rule scope :premises (@p79)) % 15.84/16.12 (step @p80 :rule process_scope :premises (@p410) :args (@t86)) % 15.84/16.12 (step @p82 :rule implies_elim :premises (@p80)) % 15.84/16.12 (step @p83 :rule eq_resolve :premises (@p82 @p77)) % 15.84/16.12 (step @p84 :rule bool-double-not-elim :args (@t83)) % 15.84/16.12 (step @p85 :rule refl :args (@t85)) % 15.84/16.12 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t85 (not @t84)))) % 15.84/16.12 (step @p87 :rule cnf_or_neg :args (@t85 0)) % 15.84/16.12 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 15.84/16.12 (step @p89 :rule reordering :premises (@p88) :args ((or @t83 @t85))) % 15.84/16.12 (step @p90 :rule cnf_or_neg :args (@t85 1)) % 15.84/16.12 (step @p91 :rule eq-symm :args (@t20 @t2)) % 15.84/16.12 (step @p92 :rule eq-symm :args (@t20 @t1)) % 15.84/16.12 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t21)) % 15.84/16.12 (step @p94 :rule refl :args (@t22)) % 15.84/16.12 (step @p95 :rule cong :premises (@p94 @p93) :args (@t23)) % 15.84/16.12 (step @p96 :rule cong :premises (@p95) :args (@t25)) % 15.84/16.12 (step @p97 :rule eq-symm :args (@t14 @t8)) % 15.84/16.12 (step @p98 :rule cong :premises (@p97 @p96) :args (@t26)) % 15.84/16.12 (step @p99 :rule cong :premises (@p98) :args (@t28)) % 15.84/16.12 (step @p100 :rule eq_resolve :premises (@p9 @p99)) % 15.84/16.12 (step @p101 :rule refl :args (@t87)) % 15.84/16.12 (step @p102 :rule eq-symm :args (@t70 @t20)) % 15.84/16.12 (step @p103 :rule aci_norm :args ((= @t89 @t88))) % 15.84/16.12 (step @p104 :rule trans :premises (@p103 @p102)) % 15.84/16.12 (step @p105 :rule cong :premises (@p104 @p101) :args ((= @t89 @t87))) % 15.84/16.12 (step @p106 :rule eq-symm :args (@t87 @t89)) % 15.84/16.12 (step @p107 :rule trans :premises (@p106 @p105)) % 15.84/16.12 (step @p108 :rule cong :premises (@p107) :args (@t90)) % 15.84/16.12 (step @p109 :rule eq-symm :args (@t91 @t71)) % 15.84/16.12 (step @p110 :rule cong :premises (@p109 @p108) :args (@t92)) % 15.84/16.12 (step @p111 :rule refl :args (@t93)) % 15.84/16.12 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t93 @t92))) % 15.84/16.12 (assume-push @p411 @t93) % 15.84/16.12 (step @p114 :rule instantiate :premises (@p100) :args ((@list @t70 @t70 @t71))) % 15.84/16.12 (step-pop @p412 :rule scope :premises (@p114)) % 15.84/16.12 (step @p115 :rule process_scope :premises (@p412) :args (@t92)) % 15.84/16.12 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 15.84/16.12 (step @p118 :rule implies_elim :premises (@p117)) % 15.84/16.12 (step @p119 :rule chain_m_resolution :premises (@p118 @p100) :args (@t96 @t97 (@list @t93))) % 15.84/16.12 (step @p120 :rule eq-symm :args (@t65 @t17)) % 15.84/16.12 (step @p121 :rule cong :premises (@p120) :args (@t66)) % 15.84/16.12 (step @p122 :rule eq_resolve :premises (@p53 @p121)) % 15.84/16.12 (step @p123 :rule instantiate :premises (@p122) :args (@t98)) % 15.84/16.12 (step @p124 :rule cnf_equiv_pos1 :args (@t96)) % 15.84/16.12 (step @p125 :rule reordering :premises (@p124) :args ((or (not @t95) @t94 (not @t96)))) % 15.84/16.12 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p119) :args (@t94 @t99 (@list @t95 @t96))) % 15.84/16.12 (step @p127 :rule eq-symm :args (@t81 @t70)) % 15.84/16.12 (step @p128 :rule refl :args (@t83)) % 15.84/16.12 (step @p129 :rule cong :premises (@p128 @p127) :args ((= @t83 @t100))) % 15.84/16.12 (step @p130 :rule eq-symm :args (@t100 @t83)) % 15.84/16.12 (step @p131 :rule trans :premises (@p130 @p129)) % 15.84/16.12 (step @p132 :rule refl :args (@t94)) % 15.84/16.12 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t94 @t101))) % 15.84/16.12 (assume-push @p413 @t94) % 15.84/16.12 (step @p135 :rule instantiate :premises (@p126) :args ((@list @t81))) % 15.84/16.12 (step-pop @p414 :rule scope :premises (@p135)) % 15.84/16.12 (step @p136 :rule process_scope :premises (@p414) :args (@t101)) % 15.84/16.12 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 15.84/16.12 (step @p139 :rule implies_elim :premises (@p138)) % 15.84/16.12 (step @p140 :rule chain_m_resolution :premises (@p139 @p126) :args (@t103 @t97 @t104)) % 15.84/16.12 (step @p141 :rule cnf_equiv_pos1 :args (@t103)) % 15.84/16.12 (step @p142 :rule reordering :premises (@p141) :args ((or @t84 @t102 (not @t103)))) % 15.84/16.12 (step @p143 :rule refl :args (@t105)) % 15.84/16.12 (step @p144 :rule bool-double-not-elim :args (@t82)) % 15.84/16.12 (step @p145 :rule refl :args (@t106)) % 15.84/16.12 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143) :args ((or @t106 (not @t107) @t105))) % 15.84/16.12 (assume-push @p415 @t73) % 15.84/16.12 (assume-push @p416 @t102) % 15.84/16.12 (assume-push @p417 @t107) % 15.84/16.12 (step @p150 :rule evaluate :args ((= false true))) % 15.84/16.12 (step @p151 :rule true_intro :premises (@p415)) % 15.84/16.12 (step @p152 :rule refl :args (@t69)) % 15.84/16.12 (step @p153 :rule symm :premises (@p416)) % 15.84/16.12 (step @p154 :rule cong :premises (@p153 @p152) :args (@t82)) % 15.84/16.12 (step @p155 :rule false_intro :premises (@p417)) % 15.84/16.12 (step @p156 :rule symm :premises (@p155)) % 15.84/16.12 (step @p157 :rule trans :premises (@p156 @p154 @p151)) % 15.84/16.12 (step @p158 false :rule eq_resolve :premises (@p157 @p150)) % 15.84/16.12 (step-pop @p418 :rule scope :premises (@p158)) % 15.84/16.12 (step-pop @p419 :rule scope :premises (@p418)) % 15.84/16.12 (step-pop @p420 :rule scope :premises (@p419)) % 15.84/16.12 (step @p159 :rule process_scope :premises (@p420) :args (false)) % 15.84/16.12 (assume-push @p421 @t73) % 15.84/16.12 (assume-push @p422 @t107) % 15.84/16.12 (assume-push @p423 @t102) % 15.84/16.12 (step @p166 :rule and_intro :premises (@p421 @p423 @p422)) % 15.84/16.12 (step-pop @p424 :rule scope :premises (@p166)) % 15.84/16.12 (step-pop @p425 :rule scope :premises (@p424)) % 15.84/16.12 (step-pop @p426 :rule scope :premises (@p425)) % 15.84/16.12 (step @p167 :rule process_scope :premises (@p426) :args (@t108)) % 15.84/16.12 (step @p171 :rule implies_elim :premises (@p167)) % 15.84/16.12 (step @p172 :rule resolution :premises (@p171 @p159) :args (true @t108)) % 15.84/16.12 (step @p173 :rule not_and :premises (@p172)) % 15.84/16.12 (step @p174 :rule eq_resolve :premises (@p173 @p146)) % 15.84/16.12 (step @p175 :rule chain_m_resolution :premises (@p174 @p142 @p140 @p90 @p89 @p83 @p74 @p72 @p65 @p64) :args (@t106 (@list false false true false true true false true true) (@list @t102 @t103 @t82 @t83 @t85 @t78 @t79 @t72 @t74))) % 15.84/16.12 (step @p176 :rule aci_norm :args ((= @t116 (or @t114 @t113 @t111)))) % 15.84/16.12 (step @p177 :rule cong :premises (@p176) :args (@t117)) % 15.84/16.12 (step @p178 :rule quant-merge-prenex :args ((= (forall @t120 @t119) @t117))) % 15.84/16.12 (step @p179 :rule refl :args (@t114)) % 15.84/16.12 (step @p180 :rule alpha_equiv :args (@t121 (@list @t110) (@list @t14))) % 15.84/16.12 (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t122)) % 15.84/16.12 (step @p182 :rule quant-miniscope-or :args ((= @t119 @t122))) % 15.84/16.12 (step @p183 :rule trans :premises (@p182 @p181)) % 15.84/16.12 (step @p184 :rule symm :premises (@p183)) % 15.84/16.12 (step @p185 :rule cong :premises (@p184) :args (@t123)) % 15.84/16.12 (step @p186 :rule trans :premises (@p185 @p178)) % 15.84/16.12 (step @p187 :rule trans :premises (@p186 @p177)) % 15.84/16.12 (step @p188 :rule refl :args (@t126)) % 15.84/16.12 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((and @t126 @t123))) % 15.84/16.12 (step @p190 :rule alpha_equiv :args (@t129 @t130 (@list @t112 @t109))) % 15.84/16.12 (step @p191 :rule alpha_equiv :args (@t133 @t130 (@list @t125 @t124))) % 15.84/16.12 (step @p192 :rule nary_cong :premises (@p191 @p190) :args (@t134)) % 15.84/16.12 (step @p193 :rule quant-miniscope-and :args ((= (forall @t5 (and @t132 @t128)) @t134))) % 15.84/16.12 (step @p194 :rule trans :premises (@p193 @p192)) % 15.84/16.12 (step @p195 :rule trans :premises (@p194 @p189)) % 15.84/16.12 (step @p196 :rule refl :args (@t57)) % 15.84/16.12 (step @p197 :rule bool-double-not-elim :args (@t127)) % 15.84/16.12 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or (not @t131) @t57))) % 15.84/16.12 (step @p199 :rule bool-and-de-morgan :args (@t131 @t36 true)) % 15.84/16.12 (step @p200 :rule trans :premises (@p199 @p198)) % 15.84/16.12 (step @p201 :rule refl :args (@t131)) % 15.84/16.12 (step @p202 :rule bool-double-not-elim :args (@t36)) % 15.84/16.12 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or (not @t57) @t131))) % 15.84/16.12 (step @p204 :rule bool-and-de-morgan :args (@t57 @t127 true)) % 15.84/16.12 (step @p205 :rule trans :premises (@p204 @p203)) % 15.84/16.12 (step @p206 :rule nary_cong :premises (@p205 @p200) :args (@t135)) % 15.84/16.12 (step @p207 :rule cong :premises (@p206) :args ((forall @t5 @t135))) % 15.84/16.12 (step @p208 :rule trans :premises (@p207 @p195)) % 15.84/16.12 (step @p209 :rule refl :args (@t36)) % 15.84/16.12 (step @p210 :rule bool-and-de-morgan :args (@t31 @t15 true)) % 15.84/16.12 (step @p211 :rule cong :premises (@p210) :args (@t56)) % 15.84/16.12 (step @p212 :rule cong :premises (@p211) :args (@t136)) % 15.84/16.12 (step @p213 :rule exists-elim :args ((= @t53 @t136))) % 15.84/16.12 (step @p214 :rule trans :premises (@p213 @p212)) % 15.84/16.12 (step @p215 :rule nary_cong :premises (@p214 @p209) :args (@t54)) % 15.84/16.12 (step @p216 :rule cong :premises (@p215) :args (@t55)) % 15.84/16.12 (step @p217 :rule refl :args (@t57)) % 15.84/16.12 (step @p218 :rule nary_cong :premises (@p217 @p211) :args (@t58)) % 15.84/16.12 (step @p219 :rule cong :premises (@p218) :args (@t59)) % 15.84/16.12 (step @p220 :rule nary_cong :premises (@p219 @p216) :args (@t60)) % 15.84/16.12 (step @p221 :rule cong :premises (@p220) :args (@t61)) % 15.84/16.12 (step @p222 :rule trans :premises (@p221 @p208)) % 15.84/16.12 (step @p223 :rule eq_resolve :premises (@p44 @p222)) % 15.84/16.12 (step @p224 :rule and_elim :premises (@p223) :args (0)) % 15.84/16.12 (step @p225 :rule instantiate :premises (@p224) :args (@t137)) % 15.84/16.12 (step @p226 :rule eq-symm :args (@t138 tptp.empty_set)) % 15.84/16.12 (step @p227 :rule refl :args (@t139)) % 15.84/16.12 (step @p228 :rule cong :premises (@p227 @p226) :args (@t140)) % 15.84/16.12 (step @p229 :rule refl :args (@t37)) % 15.84/16.12 (step @p230 :rule cong :premises (@p229 @p228) :args ((=> @t37 @t140))) % 15.84/16.12 (assume-push @p427 @t37) % 15.84/16.12 (step @p232 :rule instantiate :premises (@p14) :args (@t137)) % 15.84/16.12 (step-pop @p428 :rule scope :premises (@p232)) % 15.84/16.12 (step @p233 :rule process_scope :premises (@p428) :args (@t140)) % 15.84/16.12 (step @p235 :rule eq_resolve :premises (@p233 @p230)) % 15.84/16.12 (step @p236 :rule implies_elim :premises (@p235)) % 15.84/16.12 (step @p237 :rule chain_m_resolution :premises (@p236 @p14) :args (@t142 @t97 (@list @t37))) % 15.84/16.12 (step @p238 :rule eq-symm :args (@t62 @t11)) % 15.84/16.12 (step @p239 :rule cong :premises (@p238) :args (@t63)) % 15.84/16.12 (step @p240 :rule eq_resolve :premises (@p48 @p239)) % 15.84/16.12 (step @p241 :rule instantiate :premises (@p240) :args (@t75)) % 15.84/16.12 (step @p242 :rule eq-symm :args (@t35 tptp.empty_set)) % 15.84/16.12 (step @p243 :rule cong :premises (@p68 @p242) :args ((= @t12 @t45))) % 15.84/16.12 (step @p244 :rule eq-symm :args (@t45 @t12)) % 15.84/16.12 (step @p245 :rule trans :premises (@p244 @p243)) % 15.84/16.12 (step @p246 :rule cong :premises (@p245) :args (@t46)) % 15.84/16.12 (step @p247 :rule eq_resolve :premises (@p25 @p246)) % 15.84/16.12 (step @p248 :rule instantiate :premises (@p247) :args (@t75)) % 15.84/16.12 (step @p249 :rule cnf_equiv_neg1 :args (@t74)) % 15.84/16.12 (step @p250 :rule reordering :premises (@p249) :args ((or @t73 @t72 @t74))) % 15.84/16.12 (step @p251 :rule chain_m_resolution :premises (@p250 @p175 @p64) :args (@t72 (@list true true) (@list @t73 @t74))) % 15.84/16.12 (step @p252 :rule cnf_equiv_pos1 :args (@t145)) % 15.84/16.12 (step @p253 :rule reordering :premises (@p252) :args ((or (not @t72) @t144 (not @t145)))) % 15.84/16.12 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p248) :args (@t144 @t99 (@list @t72 @t145))) % 15.84/16.12 (step @p255 :rule instantiate :premises (@p5) :args (@t137)) % 15.84/16.12 (step @p256 :rule eq-symm :args (@t50 @t1)) % 15.84/16.12 (step @p257 :rule cong :premises (@p256) :args (@t51)) % 15.84/16.12 (step @p258 :rule eq_resolve :premises (@p43 @p257)) % 15.84/16.12 (step @p259 :rule instantiate :premises (@p258) :args ((@list @t71))) % 15.84/16.12 (step @p260 :rule eq-symm :args (@t71 tptp.empty_set)) % 15.84/16.12 (step @p261 :rule cong :premises (@p260) :args (@t146)) % 15.84/16.12 (step @p262 :rule refl :args (@t41)) % 15.84/16.12 (step @p263 :rule cong :premises (@p262 @p261) :args ((=> @t41 @t146))) % 15.84/16.12 (assume-push @p429 @t41) % 15.84/16.12 (step @p265 :rule instantiate :premises (@p23) :args (@t98)) % 15.84/16.12 (step-pop @p430 :rule scope :premises (@p265)) % 15.84/16.12 (step @p266 :rule process_scope :premises (@p430) :args (@t146)) % 15.84/16.12 (step @p268 :rule eq_resolve :premises (@p266 @p263)) % 15.84/16.12 (step @p269 :rule implies_elim :premises (@p268)) % 15.84/16.12 (step @p270 :rule chain_m_resolution :premises (@p269 @p23) :args (@t148 @t97 (@list @t41))) % 15.84/16.12 (step @p271 :rule refl :args (@t149)) % 15.84/16.12 (step @p272 :rule refl :args (@t153)) % 15.84/16.12 (step @p273 :rule refl :args (@t154)) % 15.84/16.12 (step @p274 :rule refl :args (@t156)) % 15.84/16.12 (step @p275 :rule refl :args (@t158)) % 15.84/16.12 (step @p276 :rule bool-double-not-elim :args (@t147)) % 15.84/16.12 (step @p277 :rule nary_cong :premises (@p276 @p275 @p274 @p273 @p272 @p271) :args ((or (not @t148) @t158 @t156 @t154 @t153 @t149))) % 15.84/16.12 (assume-push @p431 @t148) % 15.84/16.12 (assume-push @p432 @t157) % 15.84/16.12 (assume-push @p433 @t155) % 15.84/16.12 (assume-push @p434 @t144) % 15.84/16.12 (assume-push @p435 @t152) % 15.84/16.12 (assume-push @p436 @t160) % 15.84/16.12 (assume-push @p437 @t155) % 15.84/16.12 (step @p285 :rule false_intro :premises (@p436)) % 15.84/16.12 (step @p286 :rule refl :args (tptp.empty_set)) % 15.84/16.12 (step @p287 :rule cong :premises (@p286 @p255) :args (@t141)) % 15.84/16.12 (step @p288 :rule trans :premises (@p287 @p285)) % 15.84/16.12 (step @p289 :rule false_elim :premises (@p288)) % 15.84/16.12 (step-pop @p438 :rule scope :premises (@p289)) % 15.84/16.12 (step-pop @p439 :rule scope :premises (@p438)) % 15.84/16.12 (step @p290 :rule process_scope :premises (@p439) :args (@t149)) % 15.84/16.12 (assume-push @p440 @t148) % 15.84/16.12 (assume-push @p441 @t157) % 15.84/16.12 (assume-push @p442 @t144) % 15.84/16.12 (assume-push @p443 @t152) % 15.84/16.12 (assume-push @p444 @t155) % 15.84/16.12 (step @p298 :rule false_intro :premises (@p270)) % 15.84/16.12 (step @p299 :rule symm :premises (@p259)) % 15.84/16.12 (step @p300 :rule symm :premises (@p434)) % 15.84/16.12 (step @p301 :rule refl :args (@t71)) % 15.84/16.12 (step @p302 :rule cong :premises (@p301 @p300) :args (@t150)) % 15.84/16.12 (step @p303 :rule trans :premises (@p255 @p241 @p302 @p299)) % 15.84/16.12 (step @p304 :rule symm :premises (@p303)) % 15.84/16.12 (step @p305 :rule trans :premises (@p304 @p255)) % 15.84/16.12 (step @p306 :rule symm :premises (@p305)) % 15.84/16.12 (step @p286 :rule refl :args (tptp.empty_set)) % 15.84/16.12 (step @p307 :rule cong :premises (@p286 @p306) :args (@t159)) % 15.84/16.12 (step @p308 :rule trans :premises (@p307 @p298)) % 15.84/16.12 (step @p309 :rule false_elim :premises (@p308)) % 15.84/16.12 (step-pop @p445 :rule scope :premises (@p309)) % 15.84/16.12 (step-pop @p446 :rule scope :premises (@p445)) % 15.84/16.12 (step-pop @p447 :rule scope :premises (@p446)) % 15.84/16.12 (step-pop @p448 :rule scope :premises (@p447)) % 15.84/16.12 (step-pop @p449 :rule scope :premises (@p448)) % 15.84/16.12 (step @p310 :rule process_scope :premises (@p449) :args (@t160)) % 15.84/16.12 (step @p316 :rule and_intro :premises (@p270 @p259 @p434 @p241 @p255)) % 15.84/16.12 (step @p317 :rule modus_ponens :premises (@p316 @p310)) % 15.84/16.12 (step @p318 :rule and_intro :premises (@p317 @p255)) % 15.84/16.12 (step @p319 :rule modus_ponens :premises (@p318 @p290)) % 15.84/16.12 (step-pop @p450 :rule scope :premises (@p319)) % 15.84/16.12 (step-pop @p451 :rule scope :premises (@p450)) % 15.84/16.12 (step-pop @p452 :rule scope :premises (@p451)) % 15.84/16.12 (step-pop @p453 :rule scope :premises (@p452)) % 15.84/16.12 (step-pop @p454 :rule scope :premises (@p453)) % 15.84/16.12 (step @p320 :rule process_scope :premises (@p454) :args (@t149)) % 15.84/16.12 (step @p326 :rule implies_elim :premises (@p320)) % 15.84/16.12 (step @p327 :rule cnf_and_neg :args (@t161)) % 15.84/16.12 (step @p328 :rule resolution :premises (@p327 @p326) :args (true @t161)) % 15.84/16.12 (step @p329 :rule eq_resolve :premises (@p328 @p277)) % 15.84/16.12 (step @p330 :rule reordering :premises (@p329) :args ((or @t147 @t158 @t156 @t149 @t154 @t153))) % 15.84/16.12 (step @p331 :rule chain_m_resolution :premises (@p330 @p270 @p259 @p255 @p254 @p241) :args (@t149 (@list true false false false false) (@list @t147 @t157 @t155 @t144 @t152))) % 15.84/16.12 (step @p332 :rule cnf_equiv_pos1 :args (@t142)) % 15.84/16.12 (step @p333 :rule reordering :premises (@p332) :args ((or @t162 @t141 (not @t142)))) % 15.84/16.12 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p237) :args (@t162 @t163 (@list @t141 @t142))) % 15.84/16.12 (step @p335 :rule cnf_or_pos :args (@t166)) % 15.84/16.12 (step @p336 :rule reordering :premises (@p335) :args ((or @t139 @t165 (not @t166)))) % 15.84/16.12 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p225) :args (@t165 @t163 (@list @t139 @t166))) % 15.84/16.12 (step @p338 :rule refl :args (@t173)) % 15.84/16.12 (step @p339 :rule bool-double-not-elim :args (@t164)) % 15.84/16.12 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or (not @t165) @t173))) % 15.84/16.12 (assume-push @p455 @t165) % 15.84/16.12 (step @p342 :rule skolemize :premises (@p455)) % 15.84/16.12 (step-pop @p456 :rule scope :premises (@p342)) % 15.84/16.12 (step @p343 :rule process_scope :premises (@p456) :args (@t173)) % 15.84/16.12 (step @p345 :rule implies_elim :premises (@p343)) % 15.84/16.12 (step @p346 :rule eq_resolve :premises (@p345 @p340)) % 15.84/16.12 (step @p347 :rule chain_m_resolution :premises (@p346 @p337) :args (@t173 @t174 (@list @t164))) % 15.84/16.12 (step @p348 :rule bool-double-not-elim :args (@t170)) % 15.84/16.12 (step @p349 :rule refl :args (@t172)) % 15.84/16.12 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or @t172 (not @t171)))) % 15.84/16.12 (step @p351 :rule cnf_or_neg :args (@t172 0)) % 15.84/16.12 (step @p352 :rule eq_resolve :premises (@p351 @p350)) % 15.84/16.12 (step @p353 :rule reordering :premises (@p352) :args ((or @t170 @t172))) % 15.84/16.12 (step @p354 :rule chain_m_resolution :premises (@p353 @p347) :args (@t170 @t174 @t175)) % 15.84/16.12 (step @p355 :rule eq-symm :args (@t167 @t70)) % 15.84/16.12 (step @p356 :rule refl :args (@t168)) % 15.84/16.12 (step @p357 :rule cong :premises (@p356 @p355) :args ((= @t168 @t176))) % 15.84/16.12 (step @p358 :rule eq-symm :args (@t176 @t168)) % 15.84/16.12 (step @p359 :rule trans :premises (@p358 @p357)) % 15.84/16.12 (step @p360 :rule cong :premises (@p132 @p359) :args ((=> @t94 @t177))) % 15.84/16.12 (assume-push @p457 @t94) % 15.84/16.12 (step @p362 :rule instantiate :premises (@p126) :args ((@list @t167))) % 15.84/16.12 (step-pop @p458 :rule scope :premises (@p362)) % 15.84/16.12 (step @p363 :rule process_scope :premises (@p458) :args (@t177)) % 15.84/16.12 (step @p365 :rule eq_resolve :premises (@p363 @p360)) % 15.84/16.12 (step @p366 :rule implies_elim :premises (@p365)) % 15.84/16.12 (step @p367 :rule chain_m_resolution :premises (@p366 @p126) :args (@t179 @t97 @t104)) % 15.84/16.12 (step @p368 :rule bool-double-not-elim :args (@t168)) % 15.84/16.12 (step @p369 :rule nary_cong :premises (@p349 @p368) :args ((or @t172 (not @t169)))) % 15.84/16.12 (step @p370 :rule cnf_or_neg :args (@t172 1)) % 15.84/16.12 (step @p371 :rule eq_resolve :premises (@p370 @p369)) % 15.84/16.12 (step @p372 :rule reordering :premises (@p371) :args ((or @t168 @t172))) % 15.84/16.12 (step @p373 :rule chain_m_resolution :premises (@p372 @p347) :args (@t168 @t174 @t175)) % 15.84/16.12 (step @p374 :rule cnf_equiv_pos1 :args (@t179)) % 15.84/16.12 (step @p375 :rule reordering :premises (@p374) :args ((or @t169 @t178 (not @t179)))) % 15.84/16.12 (step @p376 :rule chain_m_resolution :premises (@p375 @p373 @p367) :args (@t178 @t99 (@list @t168 @t179))) % 15.84/16.12 (step @p377 :rule refl :args (@t180)) % 15.84/16.12 (step @p378 :rule refl :args (@t171)) % 15.84/16.12 (step @p379 :rule bool-double-not-elim :args (@t73)) % 15.84/16.12 (step @p380 :rule nary_cong :premises (@p379 @p378 @p377) :args ((or (not @t106) @t171 @t180))) % 15.84/16.12 (assume-push @p459 @t106) % 15.84/16.12 (assume-push @p460 @t178) % 15.84/16.12 (assume-push @p461 @t170) % 15.84/16.12 (step @p384 :rule evaluate :args ((= true false))) % 15.84/16.12 (step @p385 :rule false_intro :premises (@p459)) % 15.84/16.12 (step @p152 :rule refl :args (@t69)) % 15.84/16.12 (step @p386 :rule symm :premises (@p460)) % 15.84/16.12 (step @p387 :rule cong :premises (@p386 @p152) :args (@t170)) % 15.84/16.12 (step @p388 :rule true_intro :premises (@p461)) % 15.84/16.12 (step @p389 :rule symm :premises (@p388)) % 15.84/16.12 (step @p390 :rule trans :premises (@p389 @p387 @p385)) % 15.84/16.12 (step @p391 false :rule eq_resolve :premises (@p390 @p384)) % 15.84/16.12 (step-pop @p462 :rule scope :premises (@p391)) % 15.84/16.12 (step-pop @p463 :rule scope :premises (@p462)) % 15.84/16.12 (step-pop @p464 :rule scope :premises (@p463)) % 15.84/16.12 (step @p392 :rule process_scope :premises (@p464) :args (false)) % 15.84/16.12 (assume-push @p465 @t106) % 15.84/16.12 (assume-push @p466 @t170) % 15.84/16.12 (assume-push @p467 @t178) % 15.84/16.12 (step @p399 :rule and_intro :premises (@p465 @p467 @p466)) % 15.84/16.12 (step-pop @p468 :rule scope :premises (@p399)) % 15.84/16.12 (step-pop @p469 :rule scope :premises (@p468)) % 15.84/16.12 (step-pop @p470 :rule scope :premises (@p469)) % 15.84/16.12 (step @p400 :rule process_scope :premises (@p470) :args (@t181)) % 15.84/16.12 (step @p404 :rule implies_elim :premises (@p400)) % 15.84/16.12 (step @p405 :rule resolution :premises (@p404 @p392) :args (true @t181)) % 15.84/16.12 (step @p406 :rule not_and :premises (@p405)) % 15.84/16.12 (step @p407 :rule eq_resolve :premises (@p406 @p380)) % 15.84/16.12 (step @p408 false :rule chain_m_resolution :premises (@p407 @p376 @p354 @p175) :args (false (@list false false true) (@list @t178 @t170 @t73))) % 15.84/16.12 ) % 15.84/16.12 % SZS output end Proof % 15.84/16.12 % cvc5 exiting %------------------------------------------------------------------------------