%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRA008+2 : TPTP v9.2.1. Bugfixed v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:18:31 AM UTC 2026 % Result : Theorem 1.13s 1.33s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRA008+2 : TPTP v9.2.1. Bugfixed v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.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 00:14:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.13/1.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.13/1.33 % SZS status Theorem % 1.13/1.33 % SZS output start Proof % 1.13/1.33 ( % 1.13/1.33 (declare-sort $$unsorted 0) % 1.13/1.33 (declare-const tptp.graph $$unsorted) % 1.13/1.33 (declare-const tptp.number_of_in (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.edges $$unsorted) % 1.13/1.33 (declare-const tptp.triangle (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.shortest_path (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.less_or_equal (-> $$unsorted $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.tail_of (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.triangles $$unsorted) % 1.13/1.33 (declare-const tptp.in_path (-> $$unsorted $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.head_of (-> $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.sequential_pairs $$unsorted) % 1.13/1.33 (declare-const tptp.edge (-> $$unsorted Bool)) % 1.13/1.33 (declare-const tptp.path_cons (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.33 (declare-const tptp.precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.complete Bool) % 1.13/1.34 (declare-const tptp.path (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.vertex (-> $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.on_path (-> $$unsorted $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.empty $$unsorted) % 1.13/1.34 (declare-const tptp.n1 $$unsorted) % 1.13/1.34 (declare-const tptp.sequential (-> $$unsorted $$unsorted Bool)) % 1.13/1.34 (declare-const tptp.length_of (-> $$unsorted $$unsorted)) % 1.13/1.34 (define @t1 () (@var "E" $$unsorted)) % 1.13/1.34 (define @t2 () (tptp.tail_of @t1)) % 1.13/1.34 (define @t3 () (tptp.head_of @t1)) % 1.13/1.34 (define @t4 () (not (= @t3 @t2))) % 1.13/1.34 (define @t5 () (tptp.edge @t1)) % 1.13/1.34 (define @t6 () (@list @t1)) % 1.13/1.34 (define @t7 () (forall @t6 (=> @t5 @t4))) % 1.13/1.34 (define @t8 () (@var "V1" $$unsorted)) % 1.13/1.34 (define @t9 () (= @t8 @t2)) % 1.13/1.34 (define @t10 () (@var "V2" $$unsorted)) % 1.13/1.34 (define @t11 () (= @t10 @t3)) % 1.13/1.34 (define @t12 () (not (= @t8 @t10))) % 1.13/1.34 (define @t13 () (tptp.vertex @t10)) % 1.13/1.34 (define @t14 () (tptp.vertex @t8)) % 1.13/1.34 (define @t15 () (@var "P" $$unsorted)) % 1.13/1.34 (define @t16 () (tptp.path @t8 @t10 @t15)) % 1.13/1.34 (define @t17 () (@var "TP" $$unsorted)) % 1.13/1.34 (define @t18 () (exists (@list @t17) (and (tptp.path @t3 @t10 @t17) (= @t15 (tptp.path_cons @t1 @t17))))) % 1.13/1.34 (define @t19 () (and @t11 (= @t15 (tptp.path_cons @t1 tptp.empty)))) % 1.13/1.34 (define @t20 () (@list @t8 @t10 @t15)) % 1.13/1.34 (define @t21 () (tptp.on_path @t1 @t15)) % 1.13/1.34 (define @t22 () (@var "V" $$unsorted)) % 1.13/1.34 (define @t23 () (@var "E2" $$unsorted)) % 1.13/1.34 (define @t24 () (@var "E1" $$unsorted)) % 1.13/1.34 (define @t25 () (tptp.edge @t23)) % 1.13/1.34 (define @t26 () (tptp.edge @t24)) % 1.13/1.34 (define @t27 () (tptp.sequential @t24 @t23)) % 1.13/1.34 (define @t28 () (@list @t24 @t23)) % 1.13/1.34 (define @t29 () (forall @t28 (= @t27 (and @t26 @t25 (not (= @t24 @t23)) (= (tptp.head_of @t24) (tptp.tail_of @t23)))))) % 1.13/1.34 (define @t30 () (tptp.precedes @t24 @t23 @t15)) % 1.13/1.34 (define @t31 () (@var "E3" $$unsorted)) % 1.13/1.34 (define @t32 () (@list @t31)) % 1.13/1.34 (define @t33 () (exists @t32 (and (tptp.sequential @t24 @t31) (tptp.precedes @t31 @t23 @t15)))) % 1.13/1.34 (define @t34 () (tptp.on_path @t23 @t15)) % 1.13/1.34 (define @t35 () (tptp.on_path @t24 @t15)) % 1.13/1.34 (define @t36 () (@list @t15 @t8 @t10)) % 1.13/1.34 (define @t37 () (tptp.length_of @t15)) % 1.13/1.34 (define @t38 () (@var "SP" $$unsorted)) % 1.13/1.34 (define @t39 () (tptp.head_of @t23)) % 1.13/1.34 (define @t40 () (tptp.head_of @t31)) % 1.13/1.34 (define @t41 () (tptp.tail_of @t24)) % 1.13/1.34 (define @t42 () (tptp.tail_of @t31)) % 1.13/1.34 (define @t43 () (tptp.shortest_path @t8 @t10 @t15)) % 1.13/1.34 (define @t44 () (and @t43 @t30)) % 1.13/1.34 (define @t45 () (@list @t8 @t10 @t24 @t23 @t15)) % 1.13/1.34 (define @t46 () (tptp.edge @t31)) % 1.13/1.34 (define @t47 () (tptp.triangle @t24 @t23 @t31)) % 1.13/1.34 (define @t48 () (tptp.number_of_in tptp.sequential_pairs @t15)) % 1.13/1.34 (define @t49 () (exists @t32 @t47)) % 1.13/1.34 (define @t50 () (@var "Things" $$unsorted)) % 1.13/1.34 (define @t51 () (@var "InThese" $$unsorted)) % 1.13/1.34 (define @t52 () (= @t42 @t39)) % 1.13/1.34 (define @t53 () (and @t46 @t52 (= @t40 @t41))) % 1.13/1.34 (define @t54 () (exists @t32 @t53)) % 1.13/1.34 (define @t55 () (=> @t44 @t54)) % 1.13/1.34 (define @t56 () (forall @t45 @t55)) % 1.13/1.34 (define @t57 () (=> tptp.complete @t56)) % 1.13/1.34 (define @t58 () (and @t43 @t30 @t27)) % 1.13/1.34 (define @t59 () (=> @t58 @t49)) % 1.13/1.34 (define @t60 () (forall @t45 @t59)) % 1.13/1.34 (define @t61 () (=> tptp.complete @t60)) % 1.13/1.34 (define @t62 () (not @t61)) % 1.13/1.34 (define @t63 () (not (forall @t32 (not @t47)))) % 1.13/1.34 (define @t64 () (not @t27)) % 1.13/1.34 (define @t65 () (not @t30)) % 1.13/1.34 (define @t66 () (not @t43)) % 1.13/1.34 (define @t67 () (or @t66 @t65 @t64 @t63)) % 1.13/1.34 (define @t68 () (forall @t45 @t67)) % 1.13/1.34 (define @t69 () (@quantifiers_skolemize @t68 2)) % 1.13/1.34 (define @t70 () (tptp.tail_of @t69)) % 1.13/1.34 (define @t71 () (@quantifiers_skolemize @t68 3)) % 1.13/1.34 (define @t72 () (tptp.head_of @t71)) % 1.13/1.34 (define @t73 () (= @t72 @t70)) % 1.13/1.34 (define @t74 () (not (= @t71 @t69))) % 1.13/1.34 (define @t75 () (tptp.edge @t69)) % 1.13/1.34 (define @t76 () (tptp.edge @t71)) % 1.13/1.34 (define @t77 () (and @t76 @t75 @t74 @t73)) % 1.13/1.34 (define @t78 () (tptp.sequential @t71 @t69)) % 1.13/1.34 (define @t79 () (= @t78 @t77)) % 1.13/1.34 (define @t80 () (not (= @t69 @t71))) % 1.13/1.34 (define @t81 () (and @t76 @t75 @t80 @t73)) % 1.13/1.34 (define @t82 () (= @t78 @t81)) % 1.13/1.34 (define @t83 () (@list false)) % 1.13/1.34 (define @t84 () (@list @t29)) % 1.13/1.34 (define @t85 () (not (= @t42 @t72))) % 1.13/1.34 (define @t86 () (not @t46)) % 1.13/1.34 (define @t87 () (forall @t32 (or @t86 @t85 (not (= @t40 @t70))))) % 1.13/1.34 (define @t88 () (@quantifiers_skolemize @t87 0)) % 1.13/1.34 (define @t89 () (tptp.head_of @t88)) % 1.13/1.34 (define @t90 () (tptp.tail_of @t88)) % 1.13/1.34 (define @t91 () (not (= @t89 @t90))) % 1.13/1.34 (define @t92 () (tptp.edge @t88)) % 1.13/1.34 (define @t93 () (not @t92)) % 1.13/1.34 (define @t94 () (or @t93 @t91)) % 1.13/1.34 (define @t95 () (forall @t6 (or (not @t5) @t4))) % 1.13/1.34 (define @t96 () (@list @t88)) % 1.13/1.34 (define @t97 () (not (= @t90 @t89))) % 1.13/1.34 (define @t98 () (or @t93 @t97)) % 1.13/1.34 (define @t99 () (@list @t95)) % 1.13/1.34 (define @t100 () (or @t66 @t65 @t64)) % 1.13/1.34 (define @t101 () (= @t41 @t40)) % 1.13/1.34 (define @t102 () (not @t101)) % 1.13/1.34 (define @t103 () (not @t52)) % 1.13/1.34 (define @t104 () (or @t86 @t103 @t102)) % 1.13/1.34 (define @t105 () (not (forall @t32 @t104))) % 1.13/1.34 (define @t106 () (or @t66 @t65 @t105)) % 1.13/1.34 (define @t107 () (and @t46 @t52 @t101)) % 1.13/1.34 (define @t108 () (forall @t32 (not @t107))) % 1.13/1.34 (define @t109 () (not @t108)) % 1.13/1.34 (define @t110 () (forall @t45 @t106)) % 1.13/1.34 (define @t111 () (not (= @t70 @t40))) % 1.13/1.34 (define @t112 () (or @t86 @t85 @t111)) % 1.13/1.34 (define @t113 () (forall @t32 @t112)) % 1.13/1.34 (define @t114 () (not @t113)) % 1.13/1.34 (define @t115 () (@quantifiers_skolemize @t68 4)) % 1.13/1.34 (define @t116 () (tptp.precedes @t69 @t71 @t115)) % 1.13/1.34 (define @t117 () (not @t116)) % 1.13/1.34 (define @t118 () (@quantifiers_skolemize @t68 1)) % 1.13/1.34 (define @t119 () (@quantifiers_skolemize @t68 0)) % 1.13/1.34 (define @t120 () (tptp.shortest_path @t119 @t118 @t115)) % 1.13/1.34 (define @t121 () (not @t120)) % 1.13/1.34 (define @t122 () (or @t121 @t117 @t114)) % 1.13/1.34 (define @t123 () (not @t87)) % 1.13/1.34 (define @t124 () (or @t121 @t117 @t123)) % 1.13/1.34 (define @t125 () (forall @t32 (not (tptp.triangle @t69 @t71 @t31)))) % 1.13/1.34 (define @t126 () (not @t125)) % 1.13/1.34 (define @t127 () (tptp.sequential @t69 @t71)) % 1.13/1.34 (define @t128 () (not @t127)) % 1.13/1.34 (define @t129 () (or @t121 @t117 @t128 @t126)) % 1.13/1.34 (define @t130 () (@list true)) % 1.13/1.34 (define @t131 () (@list @t129)) % 1.13/1.34 (define @t132 () (= @t70 @t89)) % 1.13/1.34 (define @t133 () (not @t132)) % 1.13/1.34 (define @t134 () (= @t72 @t90)) % 1.13/1.34 (define @t135 () (not @t134)) % 1.13/1.34 (define @t136 () (or @t93 @t135 @t133)) % 1.13/1.34 (define @t137 () (not @t136)) % 1.13/1.34 (define @t138 () (= @t89 @t70)) % 1.13/1.34 (define @t139 () (not @t138)) % 1.13/1.34 (define @t140 () (not (= @t90 @t72))) % 1.13/1.34 (define @t141 () (or @t93 @t140 @t139)) % 1.13/1.34 (define @t142 () (not @t141)) % 1.13/1.34 (define @t143 () (@list @t136)) % 1.13/1.34 (define @t144 () (@list false false)) % 1.13/1.34 (define @t145 () (not @t81)) % 1.13/1.34 (define @t146 () (not @t78)) % 1.13/1.34 (define @t147 () (@list true false)) % 1.13/1.34 (define @t148 () (tptp.tail_of @t71)) % 1.13/1.34 (define @t149 () (not (= @t72 @t148))) % 1.13/1.34 (define @t150 () (not @t76)) % 1.13/1.34 (define @t151 () (or @t150 @t149)) % 1.13/1.34 (define @t152 () (not (= @t148 @t72))) % 1.13/1.34 (define @t153 () (or @t150 @t152)) % 1.13/1.34 (define @t154 () (tptp.head_of @t69)) % 1.13/1.34 (define @t155 () (= @t154 @t148)) % 1.13/1.34 (define @t156 () (and @t75 @t76 @t80 @t155)) % 1.13/1.34 (define @t157 () (= @t127 @t156)) % 1.13/1.34 (define @t158 () (not @t156)) % 1.13/1.34 (define @t159 () (@list @t156)) % 1.13/1.34 (define @t160 () (= @t154 @t90)) % 1.13/1.34 (define @t161 () (= @t69 @t88)) % 1.13/1.34 (define @t162 () (not @t161)) % 1.13/1.34 (define @t163 () (and @t75 @t92 @t162 @t160)) % 1.13/1.34 (define @t164 () (not @t163)) % 1.13/1.34 (define @t165 () (tptp.sequential @t69 @t88)) % 1.13/1.34 (define @t166 () (= @t165 @t163)) % 1.13/1.34 (define @t167 () (not @t165)) % 1.13/1.34 (define @t168 () (= @t71 @t88)) % 1.13/1.34 (define @t169 () (not @t168)) % 1.13/1.34 (define @t170 () (and @t76 @t92 @t169 @t134)) % 1.13/1.34 (define @t171 () (@list false false false true)) % 1.13/1.34 (define @t172 () (tptp.sequential @t71 @t88)) % 1.13/1.34 (define @t173 () (= @t172 @t170)) % 1.13/1.34 (define @t174 () (not (= @t88 @t69))) % 1.13/1.34 (define @t175 () (and @t92 @t75 @t174 @t138)) % 1.13/1.34 (define @t176 () (tptp.sequential @t88 @t69)) % 1.13/1.34 (define @t177 () (= @t176 @t175)) % 1.13/1.34 (define @t178 () (and @t92 @t75 @t162 @t132)) % 1.13/1.34 (define @t179 () (= @t176 @t178)) % 1.13/1.34 (define @t180 () (and @t75 @t76 @t92 @t127 @t172 @t176)) % 1.13/1.34 (define @t181 () (tptp.triangle @t69 @t71 @t88)) % 1.13/1.34 (define @t182 () (= @t181 @t180)) % 1.13/1.34 (define @t183 () (not @t180)) % 1.13/1.34 (define @t184 () (not @t172)) % 1.13/1.34 (define @t185 () (not @t176)) % 1.13/1.34 (define @t186 () (not @t75)) % 1.13/1.34 (define @t187 () (not @t178)) % 1.13/1.34 (define @t188 () (and @t146 @t161 @t172)) % 1.13/1.34 (assume @p1 @t7) % 1.13/1.34 (assume @p2 (forall @t6 (=> @t5 (and (tptp.vertex @t3) (tptp.vertex @t2))))) % 1.13/1.34 (assume @p3 (=> tptp.complete (forall (@list @t8 @t10) (=> (and @t14 @t13 @t12) (exists @t6 (and @t5 (xor (and (= @t8 @t3) (= @t10 @t2)) (and @t11 @t9)))))))) % 1.13/1.34 (assume @p4 (forall @t20 (=> (and @t14 @t13 (exists @t6 (and @t5 @t9 (or @t19 @t18)))) @t16))) % 1.13/1.34 (assume @p5 (forall @t20 (=> @t16 (and @t14 @t13 (exists @t6 (and @t5 @t9 (xor @t19 @t18))))))) % 1.13/1.34 (assume @p6 (forall (@list @t8 @t10 @t15 @t1) (=> (and @t16 @t21) (and @t5 (tptp.in_path @t3 @t15) (tptp.in_path @t2 @t15))))) % 1.13/1.34 (assume @p7 (forall (@list @t8 @t10 @t15 @t22) (=> (and @t16 (tptp.in_path @t22 @t15)) (and (tptp.vertex @t22) (exists @t6 (and @t21 (or (= @t22 @t3) (= @t22 @t2)))))))) % 1.13/1.34 (assume @p8 @t29) % 1.13/1.34 (assume @p9 (forall @t36 (=> @t16 (forall @t28 (=> (and @t35 @t34 (or @t27 @t33)) @t30))))) % 1.13/1.34 (assume @p10 (forall @t36 (=> @t16 (forall @t28 (=> @t30 (and @t35 @t34 (xor @t27 @t33))))))) % 1.13/1.34 (assume @p11 (forall (@list @t8 @t10 @t38) (= (tptp.shortest_path @t8 @t10 @t38) (and (tptp.path @t8 @t10 @t38) @t12 (forall (@list @t15) (=> @t16 (tptp.less_or_equal (tptp.length_of @t38) @t37))))))) % 1.13/1.34 (assume @p12 (forall @t45 (=> @t44 (and (not (exists @t32 (and (= @t42 @t41) (= @t40 @t39)))) (not (tptp.precedes @t23 @t24 @t15)))))) % 1.13/1.34 (assume @p13 (forall (@list @t24 @t23 @t31) (= @t47 (and @t26 @t25 @t46 @t27 (tptp.sequential @t23 @t31) (tptp.sequential @t31 @t24))))) % 1.13/1.34 (assume @p14 (forall @t20 (=> @t16 (= @t37 (tptp.number_of_in tptp.edges @t15))))) % 1.13/1.34 (assume @p15 (forall @t20 (=> @t16 (= @t48 (tptp.minus @t37 tptp.n1))))) % 1.13/1.34 (assume @p16 (forall @t36 (=> (and @t16 (forall @t28 (=> (and @t35 @t34 @t27) @t49))) (= @t48 (tptp.number_of_in tptp.triangles @t15))))) % 1.13/1.34 (assume @p17 (forall (@list @t50 @t51) (tptp.less_or_equal (tptp.number_of_in @t50 @t51) (tptp.number_of_in @t50 tptp.graph)))) % 1.13/1.34 (assume @p18 @t57) % 1.13/1.34 (assume @p19 @t62) % 1.13/1.34 (assume @p20 true) % 1.13/1.34 (step @p21 :rule refl :args (@t73)) % 1.13/1.34 (step @p22 :rule eq-symm :args (@t71 @t69)) % 1.13/1.34 (step @p23 :rule cong :premises (@p22) :args (@t74)) % 1.13/1.34 (step @p24 :rule refl :args (@t75)) % 1.13/1.34 (step @p25 :rule refl :args (@t76)) % 1.13/1.34 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23 @p21) :args (@t77)) % 1.13/1.34 (step @p27 :rule refl :args (@t78)) % 1.13/1.34 (step @p28 :rule cong :premises (@p27 @p26) :args (@t79)) % 1.13/1.34 (step @p29 :rule refl :args (@t29)) % 1.13/1.34 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t29 @t79))) % 1.13/1.34 (assume-push @p355 @t29) % 1.13/1.34 (step @p32 :rule instantiate :premises (@p8) :args ((@list @t71 @t69))) % 1.13/1.34 (step-pop @p356 :rule scope :premises (@p32)) % 1.13/1.34 (step @p33 :rule process_scope :premises (@p356) :args (@t79)) % 1.13/1.34 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 1.13/1.34 (step @p36 :rule implies_elim :premises (@p35)) % 1.13/1.34 (step @p37 :rule chain_m_resolution :premises (@p36 @p8) :args (@t82 @t83 @t84)) % 1.13/1.34 (step @p38 :rule bool-impl-elim :args (@t5 @t4)) % 1.13/1.34 (step @p39 :rule cong :premises (@p38) :args (@t7)) % 1.13/1.34 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 1.13/1.34 (step @p41 :rule eq-symm :args (@t89 @t90)) % 1.13/1.34 (step @p42 :rule cong :premises (@p41) :args (@t91)) % 1.13/1.34 (step @p43 :rule refl :args (@t93)) % 1.13/1.34 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t94)) % 1.13/1.34 (step @p45 :rule refl :args (@t95)) % 1.13/1.34 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t95 @t94))) % 1.13/1.34 (assume-push @p357 @t95) % 1.13/1.34 (step @p48 :rule instantiate :premises (@p40) :args (@t96)) % 1.13/1.34 (step-pop @p358 :rule scope :premises (@p48)) % 1.13/1.34 (step @p49 :rule process_scope :premises (@p358) :args (@t94)) % 1.13/1.34 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 1.13/1.34 (step @p52 :rule implies_elim :premises (@p51)) % 1.13/1.34 (step @p53 :rule chain_m_resolution :premises (@p52 @p40) :args (@t98 @t83 @t99)) % 1.13/1.34 (step @p54 :rule aci_norm :args ((= (or @t100 @t63) @t67))) % 1.13/1.34 (step @p55 :rule refl :args (@t63)) % 1.13/1.34 (step @p56 :rule aci_norm :args ((= (or @t66 (or @t65 @t64)) @t100))) % 1.13/1.34 (step @p57 :rule bool-and-de-morgan :args (@t30 @t27 true)) % 1.13/1.34 (step @p58 :rule refl :args (@t66)) % 1.13/1.34 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t66 (not (and @t30 @t27))))) % 1.13/1.34 (step @p60 :rule bool-and-de-morgan :args (@t43 @t30 (and @t27))) % 1.13/1.34 (step @p61 :rule trans :premises (@p60 @p59)) % 1.13/1.34 (step @p62 :rule trans :premises (@p61 @p56)) % 1.13/1.34 (step @p63 :rule nary_cong :premises (@p62 @p55) :args ((or (not @t58) @t63))) % 1.13/1.34 (step @p64 :rule trans :premises (@p63 @p54)) % 1.13/1.34 (step @p65 :rule bool-impl-elim :args (@t58 @t63)) % 1.13/1.34 (step @p66 :rule trans :premises (@p65 @p64)) % 1.13/1.34 (step @p67 :rule cong :premises (@p66) :args ((forall @t45 (=> @t58 @t63)))) % 1.13/1.34 (step @p68 :rule exists-elim :args ((= @t49 @t63))) % 1.13/1.34 (step @p69 :rule refl :args (@t58)) % 1.13/1.34 (step @p70 :rule cong :premises (@p69 @p68) :args (@t59)) % 1.13/1.34 (step @p71 :rule cong :premises (@p70) :args (@t60)) % 1.13/1.34 (step @p72 :rule trans :premises (@p71 @p67)) % 1.13/1.34 (step @p73 :rule refl :args (tptp.complete)) % 1.13/1.34 (step @p74 :rule cong :premises (@p73 @p72) :args (@t61)) % 1.13/1.34 (step @p75 :rule cong :premises (@p74) :args (@t62)) % 1.13/1.34 (step @p76 :rule eq_resolve :premises (@p19 @p75)) % 1.13/1.34 (step @p77 :rule not_implies_elim1 :premises (@p76)) % 1.13/1.34 (step @p78 :rule aci_norm :args ((= (or (or @t66 @t65) @t105) @t106))) % 1.13/1.34 (step @p79 :rule refl :args (@t105)) % 1.13/1.34 (step @p80 :rule bool-and-de-morgan :args (@t43 @t30 true)) % 1.13/1.34 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t44) @t105))) % 1.13/1.34 (step @p82 :rule trans :premises (@p81 @p78)) % 1.13/1.34 (step @p83 :rule bool-impl-elim :args (@t44 @t105)) % 1.13/1.34 (step @p84 :rule trans :premises (@p83 @p82)) % 1.13/1.34 (step @p85 :rule cong :premises (@p84) :args ((forall @t45 (=> @t44 @t105)))) % 1.13/1.34 (step @p86 :rule aci_norm :args ((= (or @t86 (or @t103 @t102)) @t104))) % 1.13/1.34 (step @p87 :rule bool-and-de-morgan :args (@t52 @t101 true)) % 1.13/1.34 (step @p88 :rule refl :args (@t86)) % 1.13/1.34 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t86 (not (and @t52 @t101))))) % 1.13/1.34 (step @p90 :rule bool-and-de-morgan :args (@t46 @t52 (and @t101))) % 1.13/1.34 (step @p91 :rule trans :premises (@p90 @p89)) % 1.13/1.34 (step @p92 :rule trans :premises (@p91 @p86)) % 1.13/1.34 (step @p93 :rule cong :premises (@p92) :args (@t108)) % 1.13/1.34 (step @p94 :rule cong :premises (@p93) :args (@t109)) % 1.13/1.34 (step @p95 :rule exists-elim :args ((= (exists @t32 @t107) @t109))) % 1.13/1.34 (step @p96 :rule trans :premises (@p95 @p94)) % 1.13/1.34 (step @p97 :rule eq-symm :args (@t40 @t41)) % 1.13/1.34 (step @p98 :rule refl :args (@t52)) % 1.13/1.34 (step @p99 :rule refl :args (@t46)) % 1.13/1.34 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97) :args (@t53)) % 1.13/1.34 (step @p101 :rule cong :premises (@p100) :args (@t54)) % 1.13/1.34 (step @p102 :rule trans :premises (@p101 @p96)) % 1.13/1.34 (step @p103 :rule refl :args (@t44)) % 1.13/1.34 (step @p104 :rule cong :premises (@p103 @p102) :args (@t55)) % 1.13/1.34 (step @p105 :rule cong :premises (@p104) :args (@t56)) % 1.13/1.34 (step @p106 :rule trans :premises (@p105 @p85)) % 1.13/1.34 (step @p107 :rule cong :premises (@p73 @p106) :args (@t57)) % 1.13/1.34 (step @p108 :rule eq_resolve :premises (@p18 @p107)) % 1.13/1.34 (step @p109 :rule implies_elim :premises (@p108)) % 1.13/1.34 (step @p110 :rule reordering :premises (@p109) :args ((or @t110 (not tptp.complete)))) % 1.13/1.34 (step @p111 :rule chain_m_resolution :premises (@p110 @p77) :args (@t110 @t83 (@list tptp.complete))) % 1.13/1.34 (step @p112 :rule eq-symm :args (@t70 @t40)) % 1.13/1.34 (step @p113 :rule cong :premises (@p112) :args (@t111)) % 1.13/1.34 (step @p114 :rule refl :args (@t85)) % 1.13/1.34 (step @p115 :rule refl :args (@t86)) % 1.13/1.34 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113) :args (@t112)) % 1.13/1.34 (step @p117 :rule cong :premises (@p116) :args (@t113)) % 1.13/1.34 (step @p118 :rule cong :premises (@p117) :args (@t114)) % 1.13/1.34 (step @p119 :rule refl :args (@t117)) % 1.13/1.34 (step @p120 :rule refl :args (@t121)) % 1.13/1.34 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118) :args (@t122)) % 1.13/1.34 (step @p122 :rule refl :args (@t110)) % 1.13/1.34 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t110 @t122))) % 1.13/1.34 (assume-push @p359 @t110) % 1.13/1.34 (step @p125 :rule instantiate :premises (@p111) :args ((@list @t119 @t118 @t69 @t71 @t115))) % 1.13/1.34 (step-pop @p360 :rule scope :premises (@p125)) % 1.13/1.34 (step @p126 :rule process_scope :premises (@p360) :args (@t122)) % 1.13/1.34 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 1.13/1.34 (step @p129 :rule implies_elim :premises (@p128)) % 1.13/1.34 (step @p130 :rule chain_m_resolution :premises (@p129 @p111) :args (@t124 @t83 (@list @t110))) % 1.13/1.34 (step @p131 :rule not_implies_elim2 :premises (@p76)) % 1.13/1.34 (step @p132 :rule skolemize :premises (@p131)) % 1.13/1.34 (step @p133 :rule bool-double-not-elim :args (@t116)) % 1.13/1.34 (step @p134 :rule refl :args (@t129)) % 1.13/1.34 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t129 (not @t117)))) % 1.13/1.34 (step @p136 :rule cnf_or_neg :args (@t129 1)) % 1.13/1.34 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 1.13/1.34 (step @p138 :rule reordering :premises (@p137) :args ((or @t116 @t129))) % 1.13/1.34 (step @p139 :rule chain_m_resolution :premises (@p138 @p132) :args (@t116 @t130 @t131)) % 1.13/1.34 (step @p140 :rule bool-double-not-elim :args (@t120)) % 1.13/1.34 (step @p141 :rule nary_cong :premises (@p134 @p140) :args ((or @t129 (not @t121)))) % 1.13/1.34 (step @p142 :rule cnf_or_neg :args (@t129 0)) % 1.13/1.34 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 1.13/1.34 (step @p144 :rule reordering :premises (@p143) :args ((or @t120 @t129))) % 1.13/1.34 (step @p145 :rule chain_m_resolution :premises (@p144 @p132) :args (@t120 @t130 @t131)) % 1.13/1.34 (step @p146 :rule cnf_or_pos :args (@t124)) % 1.13/1.34 (step @p147 :rule reordering :premises (@p146) :args ((or @t121 @t117 @t123 (not @t124)))) % 1.13/1.34 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p139 @p130) :args (@t123 (@list false false false) (@list @t120 @t116 @t124))) % 1.13/1.34 (step @p149 :rule refl :args (@t137)) % 1.13/1.34 (step @p150 :rule bool-double-not-elim :args (@t87)) % 1.13/1.34 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or (not @t123) @t137))) % 1.13/1.34 (step @p152 :rule eq-symm :args (@t89 @t70)) % 1.13/1.34 (step @p153 :rule cong :premises (@p152) :args (@t139)) % 1.13/1.34 (step @p154 :rule eq-symm :args (@t90 @t72)) % 1.13/1.34 (step @p155 :rule cong :premises (@p154) :args (@t140)) % 1.13/1.34 (step @p156 :rule nary_cong :premises (@p43 @p155 @p153) :args (@t141)) % 1.13/1.34 (step @p157 :rule cong :premises (@p156) :args (@t142)) % 1.13/1.34 (step @p158 :rule refl :args (@t123)) % 1.13/1.34 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t123 @t142))) % 1.13/1.34 (assume-push @p361 @t123) % 1.13/1.34 (step @p161 :rule skolemize :premises (@p148)) % 1.13/1.34 (step-pop @p362 :rule scope :premises (@p161)) % 1.13/1.34 (step @p162 :rule process_scope :premises (@p362) :args (@t142)) % 1.13/1.34 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 1.13/1.34 (step @p165 :rule implies_elim :premises (@p164)) % 1.13/1.34 (step @p166 :rule eq_resolve :premises (@p165 @p151)) % 1.13/1.34 (step @p167 :rule chain_m_resolution :premises (@p166 @p148) :args (@t137 @t130 (@list @t87))) % 1.13/1.34 (step @p168 :rule bool-double-not-elim :args (@t92)) % 1.13/1.34 (step @p169 :rule refl :args (@t136)) % 1.13/1.34 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t136 (not @t93)))) % 1.13/1.34 (step @p171 :rule cnf_or_neg :args (@t136 0)) % 1.13/1.34 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 1.13/1.34 (step @p173 :rule reordering :premises (@p172) :args ((or @t92 @t136))) % 1.13/1.34 (step @p174 :rule chain_m_resolution :premises (@p173 @p167) :args (@t92 @t130 @t143)) % 1.13/1.34 (step @p175 :rule cnf_or_pos :args (@t98)) % 1.13/1.34 (step @p176 :rule reordering :premises (@p175) :args ((or @t93 @t97 (not @t98)))) % 1.13/1.34 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p53) :args (@t97 @t144 (@list @t92 @t98))) % 1.13/1.34 (step @p178 :rule false_intro :premises (@p177)) % 1.13/1.34 (step @p179 :rule bool-double-not-elim :args (@t132)) % 1.13/1.34 (step @p180 :rule nary_cong :premises (@p169 @p179) :args ((or @t136 (not @t133)))) % 1.13/1.34 (step @p181 :rule cnf_or_neg :args (@t136 2)) % 1.13/1.34 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 1.13/1.34 (step @p183 :rule reordering :premises (@p182) :args ((or @t132 @t136))) % 1.13/1.34 (step @p184 :rule chain_m_resolution :premises (@p183 @p167) :args (@t132 @t130 @t143)) % 1.13/1.34 (step @p185 :rule bool-double-not-elim :args (@t134)) % 1.13/1.34 (step @p186 :rule nary_cong :premises (@p169 @p185) :args ((or @t136 (not @t135)))) % 1.13/1.34 (step @p187 :rule cnf_or_neg :args (@t136 1)) % 1.13/1.34 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 1.13/1.34 (step @p189 :rule reordering :premises (@p188) :args ((or @t134 @t136))) % 1.13/1.34 (step @p190 :rule chain_m_resolution :premises (@p189 @p167) :args (@t134 @t130 @t143)) % 1.13/1.34 (step @p191 :rule cong :premises (@p190 @p184) :args (@t73)) % 1.13/1.34 (step @p192 :rule trans :premises (@p191 @p178)) % 1.13/1.34 (step @p193 :rule false_elim :premises (@p192)) % 1.13/1.34 (step @p194 :rule cnf_and_pos :args (@t81 3)) % 1.13/1.34 (step @p195 :rule reordering :premises (@p194) :args ((or @t73 @t145))) % 1.13/1.34 (step @p196 :rule chain_m_resolution :premises (@p195 @p193) :args (@t145 @t130 (@list @t73))) % 1.13/1.34 (step @p197 :rule cnf_equiv_pos1 :args (@t82)) % 1.13/1.34 (step @p198 :rule reordering :premises (@p197) :args ((or @t81 @t146 (not @t82)))) % 1.13/1.34 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p37) :args (@t146 @t147 (@list @t81 @t82))) % 1.13/1.34 (step @p200 :rule instantiate :premises (@p8) :args ((@list @t71 @t88))) % 1.13/1.34 (step @p201 :rule instantiate :premises (@p8) :args ((@list @t69 @t88))) % 1.13/1.34 (step @p202 :rule eq-symm :args (@t72 @t148)) % 1.13/1.34 (step @p203 :rule cong :premises (@p202) :args (@t149)) % 1.13/1.34 (step @p204 :rule refl :args (@t150)) % 1.13/1.34 (step @p205 :rule nary_cong :premises (@p204 @p203) :args (@t151)) % 1.13/1.34 (step @p206 :rule cong :premises (@p45 @p205) :args ((=> @t95 @t151))) % 1.13/1.34 (assume-push @p363 @t95) % 1.13/1.34 (step @p208 :rule instantiate :premises (@p40) :args ((@list @t71))) % 1.13/1.34 (step-pop @p364 :rule scope :premises (@p208)) % 1.13/1.34 (step @p209 :rule process_scope :premises (@p364) :args (@t151)) % 1.13/1.34 (step @p211 :rule eq_resolve :premises (@p209 @p206)) % 1.13/1.34 (step @p212 :rule implies_elim :premises (@p211)) % 1.13/1.34 (step @p213 :rule chain_m_resolution :premises (@p212 @p40) :args (@t153 @t83 @t99)) % 1.13/1.34 (step @p214 :rule instantiate :premises (@p8) :args ((@list @t69 @t71))) % 1.13/1.34 (step @p215 :rule bool-double-not-elim :args (@t127)) % 1.13/1.34 (step @p216 :rule nary_cong :premises (@p134 @p215) :args ((or @t129 (not @t128)))) % 1.13/1.34 (step @p217 :rule cnf_or_neg :args (@t129 2)) % 1.13/1.34 (step @p218 :rule eq_resolve :premises (@p217 @p216)) % 1.13/1.34 (step @p219 :rule reordering :premises (@p218) :args ((or @t127 @t129))) % 1.13/1.34 (step @p220 :rule chain_m_resolution :premises (@p219 @p132) :args (@t127 @t130 @t131)) % 1.13/1.34 (step @p221 :rule cnf_equiv_pos1 :args (@t157)) % 1.13/1.34 (step @p222 :rule reordering :premises (@p221) :args ((or @t128 @t156 (not @t157)))) % 1.13/1.34 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p214) :args (@t156 @t144 (@list @t127 @t157))) % 1.13/1.34 (step @p224 :rule cnf_and_pos :args (@t156 1)) % 1.13/1.34 (step @p225 :rule reordering :premises (@p224) :args ((or @t76 @t158))) % 1.13/1.34 (step @p226 :rule chain_m_resolution :premises (@p225 @p223) :args (@t76 @t83 @t159)) % 1.13/1.34 (step @p227 :rule cnf_or_pos :args (@t153)) % 1.13/1.34 (step @p228 :rule reordering :premises (@p227) :args ((or @t150 @t152 (not @t153)))) % 1.13/1.34 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p213) :args (@t152 @t144 (@list @t76 @t153))) % 1.13/1.34 (step @p230 :rule false_intro :premises (@p229)) % 1.13/1.34 (step @p231 :rule symm :premises (@p190)) % 1.13/1.34 (step @p232 :rule cnf_and_pos :args (@t156 3)) % 1.13/1.34 (step @p233 :rule reordering :premises (@p232) :args ((or @t155 @t158))) % 1.13/1.34 (step @p234 :rule chain_m_resolution :premises (@p233 @p223) :args (@t155 @t83 @t159)) % 1.13/1.34 (step @p235 :rule cong :premises (@p234 @p231) :args (@t160)) % 1.13/1.34 (step @p236 :rule trans :premises (@p235 @p230)) % 1.13/1.34 (step @p237 :rule false_elim :premises (@p236)) % 1.13/1.34 (step @p238 :rule cnf_and_pos :args (@t163 3)) % 1.13/1.34 (step @p239 :rule reordering :premises (@p238) :args ((or @t160 @t164))) % 1.13/1.34 (step @p240 :rule chain_m_resolution :premises (@p239 @p237) :args (@t164 @t130 (@list @t160))) % 1.13/1.34 (step @p241 :rule cnf_equiv_pos1 :args (@t166)) % 1.13/1.34 (step @p242 :rule reordering :premises (@p241) :args ((or @t163 @t167 (not @t166)))) % 1.13/1.34 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p201) :args (@t167 @t147 (@list @t163 @t166))) % 1.13/1.34 (step @p244 :rule bool-double-not-elim :args (@t165)) % 1.13/1.34 (step @p245 :rule refl :args (@t169)) % 1.13/1.34 (step @p246 :rule refl :args (@t128)) % 1.13/1.34 (step @p247 :rule nary_cong :premises (@p246 @p245 @p244) :args ((or @t128 @t169 (not @t167)))) % 1.13/1.34 (assume-push @p365 @t127) % 1.13/1.34 (assume-push @p366 @t168) % 1.13/1.34 (assume-push @p367 @t167) % 1.13/1.34 (step @p251 :rule evaluate :args ((= false true))) % 1.13/1.34 (step @p252 :rule true_intro :premises (@p220)) % 1.13/1.34 (step @p253 :rule symm :premises (@p366)) % 1.13/1.34 (step @p254 :rule refl :args (@t69)) % 1.13/1.34 (step @p255 :rule cong :premises (@p254 @p253) :args (@t165)) % 1.13/1.34 (step @p256 :rule false_intro :premises (@p243)) % 1.13/1.34 (step @p257 :rule symm :premises (@p256)) % 1.13/1.34 (step @p258 :rule trans :premises (@p257 @p255 @p252)) % 1.13/1.34 (step @p259 false :rule eq_resolve :premises (@p258 @p251)) % 1.13/1.34 (step-pop @p368 :rule scope :premises (@p259)) % 1.13/1.34 (step-pop @p369 :rule scope :premises (@p368)) % 1.13/1.34 (step-pop @p370 :rule scope :premises (@p369)) % 1.13/1.34 (step @p260 :rule process_scope :premises (@p370) :args (false)) % 1.13/1.34 (step @p264 :rule not_and :premises (@p260)) % 1.13/1.34 (step @p265 :rule eq_resolve :premises (@p264 @p247)) % 1.13/1.34 (step @p266 :rule chain_m_resolution :premises (@p265 @p220 @p243) :args (@t169 (@list false true) (@list @t127 @t165))) % 1.13/1.34 (step @p267 :rule refl :args (@t135)) % 1.13/1.34 (step @p268 :rule bool-double-not-elim :args (@t168)) % 1.13/1.34 (step @p269 :rule refl :args (@t170)) % 1.13/1.34 (step @p270 :rule nary_cong :premises (@p269 @p204 @p43 @p268 @p267) :args ((or @t170 @t150 @t93 (not @t169) @t135))) % 1.13/1.34 (step @p271 :rule cnf_and_neg :args (@t170)) % 1.13/1.34 (step @p272 :rule eq_resolve :premises (@p271 @p270)) % 1.13/1.34 (step @p273 :rule reordering :premises (@p272) :args ((or @t150 @t93 @t135 @t168 @t170))) % 1.13/1.34 (step @p274 :rule chain_m_resolution :premises (@p273 @p226 @p174 @p190 @p266) :args (@t170 @t171 (@list @t76 @t92 @t134 @t168))) % 1.13/1.34 (step @p275 :rule cnf_equiv_pos2 :args (@t173)) % 1.13/1.34 (step @p276 :rule reordering :premises (@p275) :args ((or @t172 (not @t170) (not @t173)))) % 1.13/1.34 (step @p277 :rule chain_m_resolution :premises (@p276 @p274 @p200) :args (@t172 @t144 (@list @t170 @t173))) % 1.13/1.34 (step @p278 :rule eq-symm :args (@t88 @t69)) % 1.13/1.34 (step @p279 :rule cong :premises (@p278) :args (@t174)) % 1.13/1.34 (step @p280 :rule refl :args (@t92)) % 1.13/1.34 (step @p281 :rule nary_cong :premises (@p280 @p24 @p279 @p152) :args (@t175)) % 1.13/1.34 (step @p282 :rule refl :args (@t176)) % 1.13/1.34 (step @p283 :rule cong :premises (@p282 @p281) :args (@t177)) % 1.13/1.34 (step @p284 :rule cong :premises (@p29 @p283) :args ((=> @t29 @t177))) % 1.13/1.34 (assume-push @p371 @t29) % 1.13/1.34 (step @p286 :rule instantiate :premises (@p8) :args ((@list @t88 @t69))) % 1.13/1.34 (step-pop @p372 :rule scope :premises (@p286)) % 1.13/1.34 (step @p287 :rule process_scope :premises (@p372) :args (@t177)) % 1.13/1.34 (step @p289 :rule eq_resolve :premises (@p287 @p284)) % 1.13/1.34 (step @p290 :rule implies_elim :premises (@p289)) % 1.13/1.34 (step @p291 :rule chain_m_resolution :premises (@p290 @p8) :args (@t179 @t83 @t84)) % 1.13/1.34 (step @p292 :rule instantiate :premises (@p13) :args ((@list @t69 @t71 @t88))) % 1.13/1.34 (step @p293 :rule bool-double-not-elim :args (@t125)) % 1.13/1.34 (step @p294 :rule nary_cong :premises (@p134 @p293) :args ((or @t129 (not @t126)))) % 1.13/1.34 (step @p295 :rule cnf_or_neg :args (@t129 3)) % 1.13/1.34 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 1.13/1.34 (step @p297 :rule reordering :premises (@p296) :args ((or @t125 @t129))) % 1.13/1.34 (step @p298 :rule chain_m_resolution :premises (@p297 @p132) :args (@t125 @t130 @t131)) % 1.13/1.34 (step @p299 :rule instantiate :premises (@p298) :args (@t96)) % 1.13/1.34 (step @p300 :rule cnf_equiv_pos2 :args (@t182)) % 1.13/1.34 (step @p301 :rule reordering :premises (@p300) :args ((or @t181 @t183 (not @t182)))) % 1.13/1.34 (step @p302 :rule chain_m_resolution :premises (@p301 @p299 @p292) :args (@t183 @t147 (@list @t181 @t182))) % 1.13/1.34 (step @p303 :rule cnf_and_pos :args (@t156 0)) % 1.13/1.34 (step @p304 :rule reordering :premises (@p303) :args ((or @t75 @t158))) % 1.13/1.34 (step @p305 :rule chain_m_resolution :premises (@p304 @p223) :args (@t75 @t83 @t159)) % 1.13/1.34 (step @p306 :rule cnf_and_neg :args (@t180)) % 1.13/1.34 (step @p307 :rule reordering :premises (@p306) :args ((or @t128 @t186 @t150 @t93 @t185 @t180 @t184))) % 1.13/1.34 (step @p308 :rule chain_m_resolution :premises (@p307 @p220 @p305 @p226 @p174 @p302 @p277) :args (@t185 (@list false false false false true false) (@list @t127 @t75 @t76 @t92 @t180 @t172))) % 1.13/1.34 (step @p309 :rule cnf_equiv_pos2 :args (@t179)) % 1.13/1.34 (step @p310 :rule reordering :premises (@p309) :args ((or @t176 @t187 (not @t179)))) % 1.13/1.34 (step @p311 :rule chain_m_resolution :premises (@p310 @p308 @p291) :args (@t187 @t147 (@list @t176 @t179))) % 1.13/1.34 (step @p312 :rule refl :args (@t133)) % 1.13/1.34 (step @p313 :rule bool-double-not-elim :args (@t161)) % 1.13/1.34 (step @p314 :rule refl :args (@t186)) % 1.13/1.34 (step @p315 :rule refl :args (@t178)) % 1.13/1.34 (step @p316 :rule nary_cong :premises (@p315 @p43 @p314 @p313 @p312) :args ((or @t178 @t93 @t186 (not @t162) @t133))) % 1.13/1.34 (step @p317 :rule cnf_and_neg :args (@t178)) % 1.13/1.34 (step @p318 :rule eq_resolve :premises (@p317 @p316)) % 1.13/1.34 (step @p319 :rule reordering :premises (@p318) :args ((or @t186 @t93 @t133 @t161 @t178))) % 1.13/1.34 (step @p320 :rule chain_m_resolution :premises (@p319 @p305 @p174 @p184 @p311) :args (@t161 @t171 (@list @t75 @t92 @t132 @t178))) % 1.13/1.34 (step @p321 :rule refl :args (@t184)) % 1.13/1.34 (step @p322 :rule bool-double-not-elim :args (@t78)) % 1.13/1.34 (step @p323 :rule refl :args (@t162)) % 1.13/1.34 (step @p324 :rule nary_cong :premises (@p323 @p322 @p321) :args ((or @t162 (not @t146) @t184))) % 1.13/1.34 (assume-push @p373 @t146) % 1.13/1.34 (assume-push @p374 @t161) % 1.13/1.34 (assume-push @p375 @t172) % 1.13/1.34 (step @p328 :rule evaluate :args ((= true false))) % 1.13/1.34 (step @p329 :rule false_intro :premises (@p199)) % 1.13/1.34 (step @p330 :rule symm :premises (@p374)) % 1.13/1.34 (step @p331 :rule refl :args (@t71)) % 1.13/1.34 (step @p332 :rule cong :premises (@p331 @p330) :args (@t172)) % 1.13/1.34 (step @p333 :rule true_intro :premises (@p375)) % 1.13/1.34 (step @p334 :rule symm :premises (@p333)) % 1.13/1.34 (step @p335 :rule trans :premises (@p334 @p332 @p329)) % 1.13/1.34 (step @p336 false :rule eq_resolve :premises (@p335 @p328)) % 1.13/1.34 (step-pop @p376 :rule scope :premises (@p336)) % 1.13/1.34 (step-pop @p377 :rule scope :premises (@p376)) % 1.13/1.34 (step-pop @p378 :rule scope :premises (@p377)) % 1.13/1.34 (step @p337 :rule process_scope :premises (@p378) :args (false)) % 1.13/1.34 (assume-push @p379 @t161) % 1.13/1.34 (assume-push @p380 @t146) % 1.13/1.34 (assume-push @p381 @t172) % 1.13/1.34 (step @p344 :rule and_intro :premises (@p199 @p379 @p381)) % 1.13/1.34 (step-pop @p382 :rule scope :premises (@p344)) % 1.13/1.34 (step-pop @p383 :rule scope :premises (@p382)) % 1.13/1.34 (step-pop @p384 :rule scope :premises (@p383)) % 1.13/1.34 (step @p345 :rule process_scope :premises (@p384) :args (@t188)) % 1.13/1.34 (step @p349 :rule implies_elim :premises (@p345)) % 1.13/1.34 (step @p350 :rule resolution :premises (@p349 @p337) :args (true @t188)) % 1.13/1.34 (step @p351 :rule not_and :premises (@p350)) % 1.13/1.34 (step @p352 :rule eq_resolve :premises (@p351 @p324)) % 1.13/1.34 (step @p353 :rule reordering :premises (@p352) :args ((or @t78 @t162 @t184))) % 1.13/1.34 (step @p354 false :rule chain_m_resolution :premises (@p353 @p320 @p277 @p199) :args (false (@list false false true) (@list @t161 @t172 @t78))) % 1.13/1.34 ) % 1.13/1.34 % SZS output end Proof % 1.13/1.34 % cvc5 exiting %------------------------------------------------------------------------------