%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG012-1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:04:55 AM UTC 2026 % Result : Unsatisfiable 1.62s 1.86s % Output : Proof 1.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG012-1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 01:36:58 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.62/1.86 % SZS status Unsatisfiable % 1.62/1.86 % SZS output start Proof % 1.62/1.87 ( % 1.62/1.87 (declare-sort $$unsorted 0) % 1.62/1.87 (declare-const tptp.a3 $$unsorted) % 1.62/1.87 (declare-const tptp.a2 $$unsorted) % 1.62/1.87 (declare-const tptp.a1 $$unsorted) % 1.62/1.87 (declare-const tptp.c (-> $$unsorted Bool)) % 1.62/1.87 (declare-const tptp.d1 (-> $$unsorted Bool)) % 1.62/1.87 (declare-const tptp.d2 (-> $$unsorted Bool)) % 1.62/1.87 (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.87 (define @t1 () (@var "Z" $$unsorted)) % 1.62/1.87 (define @t2 () (@var "Y" $$unsorted)) % 1.62/1.87 (define @t3 () (@var "X" $$unsorted)) % 1.62/1.87 (define @t4 () (tptp.f @t3 @t2)) % 1.62/1.87 (define @t5 () (forall (@list @t3 @t2 @t1) (= (tptp.f @t3 (tptp.f @t2 @t1)) (tptp.f @t4 @t1)))) % 1.62/1.87 (define @t6 () (tptp.d2 @t3)) % 1.62/1.87 (define @t7 () (tptp.d1 @t3)) % 1.62/1.87 (define @t8 () (tptp.c @t3)) % 1.62/1.87 (define @t9 () (@list @t3)) % 1.62/1.87 (define @t10 () (not @t7)) % 1.62/1.87 (define @t11 () (not @t8)) % 1.62/1.87 (define @t12 () (not @t6)) % 1.62/1.87 (define @t13 () (tptp.c tptp.a1)) % 1.62/1.87 (define @t14 () (@list @t3 @t2)) % 1.62/1.87 (define @t15 () (tptp.c @t4)) % 1.62/1.87 (define @t16 () (forall @t14 (or @t15 @t10 (not (tptp.d1 @t2))))) % 1.62/1.87 (define @t17 () (tptp.f tptp.a1 tptp.a1)) % 1.62/1.87 (define @t18 () (tptp.f @t17 @t17)) % 1.62/1.87 (define @t19 () (@list @t18)) % 1.62/1.87 (define @t20 () (tptp.d1 @t18)) % 1.62/1.87 (define @t21 () (not @t20)) % 1.62/1.87 (define @t22 () (tptp.c @t18)) % 1.62/1.87 (define @t23 () (not @t22)) % 1.62/1.87 (define @t24 () (or @t23 @t21)) % 1.62/1.87 (define @t25 () (tptp.d2 @t18)) % 1.62/1.87 (define @t26 () (not @t25)) % 1.62/1.87 (define @t27 () (or @t23 @t26)) % 1.62/1.87 (define @t28 () (tptp.f @t18 tptp.a1)) % 1.62/1.87 (define @t29 () (@list @t28 @t28)) % 1.62/1.87 (define @t30 () (tptp.d2 @t28)) % 1.62/1.87 (define @t31 () (not @t30)) % 1.62/1.87 (define @t32 () (tptp.f @t28 @t28)) % 1.62/1.87 (define @t33 () (tptp.c @t32)) % 1.62/1.87 (define @t34 () (or @t33 @t31 @t31)) % 1.62/1.87 (define @t35 () (tptp.d1 @t28)) % 1.62/1.87 (define @t36 () (not @t35)) % 1.62/1.87 (define @t37 () (or @t33 @t36 @t36)) % 1.62/1.87 (define @t38 () (not @t13)) % 1.62/1.87 (define @t39 () (or @t30 @t35 @t23 @t38)) % 1.62/1.87 (define @t40 () (tptp.f @t17 tptp.a1)) % 1.62/1.87 (define @t41 () (tptp.f @t40 tptp.a1)) % 1.62/1.87 (define @t42 () (tptp.d1 @t41)) % 1.62/1.87 (define @t43 () (not @t42)) % 1.62/1.87 (define @t44 () (= @t18 @t41)) % 1.62/1.87 (define @t45 () (not @t44)) % 1.62/1.87 (define @t46 () (and @t44 @t21)) % 1.62/1.87 (define @t47 () (tptp.d2 @t41)) % 1.62/1.87 (define @t48 () (not @t47)) % 1.62/1.87 (define @t49 () (and @t44 @t26)) % 1.62/1.87 (define @t50 () (tptp.c @t40)) % 1.62/1.87 (define @t51 () (not @t50)) % 1.62/1.87 (define @t52 () (or @t47 @t42 @t51 @t38)) % 1.62/1.87 (define @t53 () (@list @t40 @t40)) % 1.62/1.87 (define @t54 () (tptp.d1 @t40)) % 1.62/1.87 (define @t55 () (not @t54)) % 1.62/1.87 (define @t56 () (tptp.c (tptp.f @t40 @t40))) % 1.62/1.87 (define @t57 () (or @t56 @t55 @t55)) % 1.62/1.87 (define @t58 () (tptp.d2 @t40)) % 1.62/1.87 (define @t59 () (not @t58)) % 1.62/1.87 (define @t60 () (or @t56 @t59 @t59)) % 1.62/1.87 (define @t61 () (or @t50 @t54 @t58)) % 1.62/1.87 (define @t62 () (tptp.f tptp.a1 @t17)) % 1.62/1.87 (define @t63 () (tptp.f tptp.a1 @t62)) % 1.62/1.87 (define @t64 () (= @t63 @t18)) % 1.62/1.87 (define @t65 () (= @t18 @t63)) % 1.62/1.87 (define @t66 () (@list false)) % 1.62/1.87 (define @t67 () (@list @t5)) % 1.62/1.87 (define @t68 () (tptp.f @t17 @t40)) % 1.62/1.87 (define @t69 () (= @t68 @t28)) % 1.62/1.87 (define @t70 () (@list @t17 @t17 tptp.a1)) % 1.62/1.87 (define @t71 () (= @t28 @t68)) % 1.62/1.87 (define @t72 () (tptp.f tptp.a1 @t28)) % 1.62/1.87 (define @t73 () (tptp.f @t18 @t72)) % 1.62/1.87 (define @t74 () (= @t73 @t32)) % 1.62/1.87 (define @t75 () (@list @t18 tptp.a1 @t28)) % 1.62/1.87 (define @t76 () (= @t32 @t73)) % 1.62/1.87 (define @t77 () (tptp.f tptp.a1 @t18)) % 1.62/1.87 (define @t78 () (tptp.f tptp.a1 @t77)) % 1.62/1.87 (define @t79 () (tptp.f @t17 @t18)) % 1.62/1.87 (define @t80 () (= @t78 @t79)) % 1.62/1.87 (define @t81 () (@list tptp.a1 tptp.a1 @t18)) % 1.62/1.87 (define @t82 () (= @t79 @t78)) % 1.62/1.87 (define @t83 () (tptp.f tptp.a1 @t79)) % 1.62/1.87 (define @t84 () (tptp.f tptp.a1 @t83)) % 1.62/1.87 (define @t85 () (tptp.f @t17 @t79)) % 1.62/1.87 (define @t86 () (= @t84 @t85)) % 1.62/1.87 (define @t87 () (@list tptp.a1 tptp.a1 @t79)) % 1.62/1.87 (define @t88 () (= @t85 @t84)) % 1.62/1.87 (define @t89 () (tptp.f @t17 (tptp.f @t17 @t72))) % 1.62/1.87 (define @t90 () (= @t89 @t73)) % 1.62/1.87 (define @t91 () (@list @t17 @t17 @t72)) % 1.62/1.87 (define @t92 () (= @t73 @t89)) % 1.62/1.87 (define @t93 () (= @t62 @t40)) % 1.62/1.87 (define @t94 () (tptp.f @t17 @t62)) % 1.62/1.87 (define @t95 () (= (tptp.f tptp.a1 @t63) @t94)) % 1.62/1.87 (define @t96 () (tptp.f @t17 @t84)) % 1.62/1.87 (define @t97 () (= @t96 (tptp.f @t40 @t83))) % 1.62/1.87 (define @t98 () (tptp.f @t77 @t28)) % 1.62/1.87 (define @t99 () (tptp.f @t62 @t83)) % 1.62/1.87 (define @t100 () (tptp.c @t99)) % 1.62/1.87 (define @t101 () (and @t93 @t65 @t71 @t33 @t95 @t76 @t82 @t88 @t92 @t97)) % 1.62/1.87 (define @t102 () (tptp.f @t18 @t17)) % 1.62/1.87 (define @t103 () (= @t79 @t102)) % 1.62/1.87 (define @t104 () (= @t102 @t79)) % 1.62/1.87 (define @t105 () (tptp.f @t28 tptp.a1)) % 1.62/1.87 (define @t106 () (= @t102 @t105)) % 1.62/1.87 (define @t107 () (tptp.f @t40 @t62)) % 1.62/1.87 (define @t108 () (= (tptp.f @t17 @t63) @t107)) % 1.62/1.87 (define @t109 () (tptp.c @t105)) % 1.62/1.87 (define @t110 () (and @t93 @t65 @t71 @t95 @t104 @t82 @t106 @t56 @t108)) % 1.62/1.87 (define @t111 () (tptp.f @t18 @t18)) % 1.62/1.87 (define @t112 () (tptp.f @t111 @t111)) % 1.62/1.87 (define @t113 () (@list @t112)) % 1.62/1.87 (define @t114 () (tptp.d1 @t112)) % 1.62/1.87 (define @t115 () (not @t114)) % 1.62/1.87 (define @t116 () (tptp.c @t112)) % 1.62/1.87 (define @t117 () (not @t116)) % 1.62/1.87 (define @t118 () (or @t117 @t115)) % 1.62/1.87 (define @t119 () (tptp.d2 @t112)) % 1.62/1.87 (define @t120 () (not @t119)) % 1.62/1.87 (define @t121 () (or @t117 @t120)) % 1.62/1.87 (define @t122 () (= @t85 @t111)) % 1.62/1.87 (define @t123 () (@list @t17 @t17 @t18)) % 1.62/1.87 (define @t124 () (= @t111 @t85)) % 1.62/1.87 (define @t125 () (tptp.f @t18 @t77)) % 1.62/1.87 (define @t126 () (tptp.f @t28 @t18)) % 1.62/1.87 (define @t127 () (= @t125 @t126)) % 1.62/1.87 (define @t128 () (@list @t18 tptp.a1 @t18)) % 1.62/1.87 (define @t129 () (= @t126 @t125)) % 1.62/1.87 (define @t130 () (tptp.f @t28 @t17)) % 1.62/1.87 (define @t131 () (tptp.f @t105 @t99)) % 1.62/1.87 (define @t132 () (tptp.d1 @t131)) % 1.62/1.87 (define @t133 () (not @t132)) % 1.62/1.87 (define @t134 () (tptp.f @t105 @t62)) % 1.62/1.87 (define @t135 () (tptp.f @t134 @t83)) % 1.62/1.87 (define @t136 () (= @t131 @t135)) % 1.62/1.87 (define @t137 () (not @t136)) % 1.62/1.87 (define @t138 () (tptp.f @t130 tptp.a1)) % 1.62/1.87 (define @t139 () (tptp.f @t138 tptp.a1)) % 1.62/1.87 (define @t140 () (tptp.f @t130 @t17)) % 1.62/1.87 (define @t141 () (= @t140 @t139)) % 1.62/1.87 (define @t142 () (not @t141)) % 1.62/1.87 (define @t143 () (tptp.f @t62 @t17)) % 1.62/1.87 (define @t144 () (tptp.f @t62 @t18)) % 1.62/1.87 (define @t145 () (= @t144 (tptp.f @t143 @t17))) % 1.62/1.87 (define @t146 () (not @t145)) % 1.62/1.87 (define @t147 () (tptp.f @t17 @t77)) % 1.62/1.87 (define @t148 () (= @t147 (tptp.f @t40 @t18))) % 1.62/1.87 (define @t149 () (not @t148)) % 1.62/1.87 (define @t150 () (tptp.f @t18 @t68)) % 1.62/1.87 (define @t151 () (= @t150 (tptp.f @t102 @t40))) % 1.62/1.87 (define @t152 () (not @t151)) % 1.62/1.87 (define @t153 () (tptp.f @t77 tptp.a1)) % 1.62/1.87 (define @t154 () (tptp.f @t17 @t153)) % 1.62/1.87 (define @t155 () (= @t154 (tptp.f @t147 tptp.a1))) % 1.62/1.87 (define @t156 () (not @t155)) % 1.62/1.87 (define @t157 () (tptp.f @t111 @t84)) % 1.62/1.87 (define @t158 () (= @t157 (tptp.f (tptp.f @t111 tptp.a1) @t83))) % 1.62/1.87 (define @t159 () (not @t158)) % 1.62/1.87 (define @t160 () (not @t88)) % 1.62/1.87 (define @t161 () (= @t126 @t140)) % 1.62/1.87 (define @t162 () (not @t161)) % 1.62/1.87 (define @t163 () (not @t106)) % 1.62/1.87 (define @t164 () (not @t129)) % 1.62/1.87 (define @t165 () (not @t104)) % 1.62/1.87 (define @t166 () (not @t124)) % 1.62/1.87 (define @t167 () (= @t111 (tptp.f @t102 @t17))) % 1.62/1.87 (define @t168 () (not @t167)) % 1.62/1.87 (define @t169 () (not @t95)) % 1.62/1.87 (define @t170 () (not @t71)) % 1.62/1.87 (define @t171 () (= @t77 @t143)) % 1.62/1.87 (define @t172 () (not @t171)) % 1.62/1.87 (define @t173 () (not @t65)) % 1.62/1.87 (define @t174 () (not @t93)) % 1.62/1.87 (define @t175 () (tptp.f @t153 @t17)) % 1.62/1.87 (define @t176 () (tptp.f @t175 tptp.a1)) % 1.62/1.87 (define @t177 () (and @t93 @t65 @t171 @t71 @t95 @t167 @t124 @t104 @t129 @t106 @t161 @t88 @t115 @t158 @t155 @t151 @t148 @t145 @t141 @t136)) % 1.62/1.87 (define @t178 () (tptp.d2 @t131)) % 1.62/1.87 (define @t179 () (not @t178)) % 1.62/1.87 (define @t180 () (and @t93 @t65 @t171 @t71 @t95 @t167 @t124 @t104 @t129 @t106 @t161 @t88 @t120 @t158 @t155 @t151 @t148 @t145 @t141 @t136)) % 1.62/1.87 (define @t181 () (not @t100)) % 1.62/1.87 (define @t182 () (not @t109)) % 1.62/1.87 (define @t183 () (or @t178 @t132 @t182 @t181)) % 1.62/1.87 (define @t184 () (@list @t111 @t111)) % 1.62/1.87 (define @t185 () (tptp.d2 @t111)) % 1.62/1.87 (define @t186 () (not @t185)) % 1.62/1.87 (define @t187 () (or @t116 @t186 @t186)) % 1.62/1.87 (define @t188 () (tptp.d1 @t111)) % 1.62/1.87 (define @t189 () (not @t188)) % 1.62/1.87 (define @t190 () (or @t116 @t189 @t189)) % 1.62/1.87 (define @t191 () (or @t185 @t188 @t23 @t23)) % 1.62/1.87 (define @t192 () (@list @t17 @t17)) % 1.62/1.87 (define @t193 () (tptp.d2 @t17)) % 1.62/1.87 (define @t194 () (not @t193)) % 1.62/1.87 (define @t195 () (or @t22 @t194 @t194)) % 1.62/1.87 (define @t196 () (@list true false)) % 1.62/1.87 (define @t197 () (tptp.d1 @t17)) % 1.62/1.87 (define @t198 () (or @t193 @t197 @t38 @t38)) % 1.62/1.87 (define @t199 () (not @t197)) % 1.62/1.87 (define @t200 () (or @t22 @t199 @t199)) % 1.62/1.87 (define @t201 () (not @t200)) % 1.62/1.87 (assume @p1 @t5) % 1.62/1.87 (assume @p2 (forall @t9 (or @t8 @t7 @t6))) % 1.62/1.87 (assume @p3 (forall @t9 (or @t11 @t10))) % 1.62/1.87 (assume @p4 (forall @t9 (or @t11 @t12))) % 1.62/1.87 (assume @p5 (forall @t9 (or @t10 @t12))) % 1.62/1.87 (assume @p6 @t13) % 1.62/1.87 (assume @p7 (tptp.d1 tptp.a2)) % 1.62/1.87 (assume @p8 (tptp.d2 tptp.a3)) % 1.62/1.87 (assume @p9 (forall @t14 (or (tptp.d2 @t4) (tptp.d1 @t4) @t11 (not (tptp.c @t2))))) % 1.62/1.87 (assume @p10 @t16) % 1.62/1.87 (assume @p11 (forall @t14 (or @t15 @t12 (not (tptp.d2 @t2))))) % 1.62/1.87 (step @p12 :rule instantiate :premises (@p3) :args (@t19)) % 1.62/1.87 (step @p13 :rule cnf_or_pos :args (@t24)) % 1.62/1.87 (step @p14 :rule reordering :premises (@p13) :args ((or @t23 @t21 (not @t24)))) % 1.62/1.87 (step @p15 :rule instantiate :premises (@p4) :args (@t19)) % 1.62/1.87 (step @p16 :rule cnf_or_pos :args (@t27)) % 1.62/1.87 (step @p17 :rule reordering :premises (@p16) :args ((or @t23 @t26 (not @t27)))) % 1.62/1.87 (step @p18 :rule instantiate :premises (@p11) :args (@t29)) % 1.62/1.87 (step @p19 :rule cnf_or_pos :args (@t34)) % 1.62/1.87 (step @p20 :rule factoring :premises (@p19)) % 1.62/1.87 (step @p21 :rule reordering :premises (@p20) :args ((or @t31 @t33 (not @t34)))) % 1.62/1.87 (step @p22 :rule instantiate :premises (@p10) :args (@t29)) % 1.62/1.87 (step @p23 :rule cnf_or_pos :args (@t37)) % 1.62/1.87 (step @p24 :rule factoring :premises (@p23)) % 1.62/1.87 (step @p25 :rule reordering :premises (@p24) :args ((or @t36 @t33 (not @t37)))) % 1.62/1.87 (step @p26 :rule instantiate :premises (@p9) :args ((@list @t18 tptp.a1))) % 1.62/1.87 (step @p27 :rule cnf_or_pos :args (@t39)) % 1.62/1.87 (step @p28 :rule reordering :premises (@p27) :args ((or @t38 @t23 @t30 @t35 (not @t39)))) % 1.62/1.87 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p6 @p25 @p22 @p21 @p18) :args ((or @t23 @t33) (@list false false true false true false) (@list @t39 @t13 @t35 @t37 @t30 @t34))) % 1.62/1.87 (step @p30 :rule instantiate :premises (@p1) :args ((@list @t17 tptp.a1 tptp.a1))) % 1.62/1.87 (step @p31 :rule refl :args (@t43)) % 1.62/1.87 (step @p32 :rule bool-double-not-elim :args (@t20)) % 1.62/1.87 (step @p33 :rule refl :args (@t45)) % 1.62/1.87 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args ((or @t45 (not @t21) @t43))) % 1.62/1.87 (assume-push @p611 @t44) % 1.62/1.87 (assume-push @p612 @t21) % 1.62/1.87 (assume-push @p613 @t21) % 1.62/1.87 (assume-push @p614 @t44) % 1.62/1.87 (step @p39 :rule false_intro :premises (@p612)) % 1.62/1.87 (step @p40 :rule symm :premises (@p30)) % 1.62/1.87 (step @p41 :rule cong :premises (@p40) :args (@t42)) % 1.62/1.87 (step @p42 :rule trans :premises (@p41 @p39)) % 1.62/1.87 (step @p43 :rule false_elim :premises (@p42)) % 1.62/1.87 (step-pop @p615 :rule scope :premises (@p43)) % 1.62/1.87 (step-pop @p616 :rule scope :premises (@p615)) % 1.62/1.87 (step @p44 :rule process_scope :premises (@p616) :args (@t43)) % 1.62/1.87 (step @p47 :rule and_intro :premises (@p612 @p30)) % 1.62/1.87 (step @p48 :rule modus_ponens :premises (@p47 @p44)) % 1.62/1.87 (step-pop @p617 :rule scope :premises (@p48)) % 1.62/1.87 (step-pop @p618 :rule scope :premises (@p617)) % 1.62/1.87 (step @p49 :rule process_scope :premises (@p618) :args (@t43)) % 1.62/1.87 (step @p52 :rule implies_elim :premises (@p49)) % 1.62/1.87 (step @p53 :rule cnf_and_neg :args (@t46)) % 1.62/1.87 (step @p54 :rule resolution :premises (@p53 @p52) :args (true @t46)) % 1.62/1.87 (step @p55 :rule eq_resolve :premises (@p54 @p34)) % 1.62/1.87 (step @p56 :rule reordering :premises (@p55) :args ((or @t20 @t45 @t43))) % 1.62/1.87 (step @p57 :rule refl :args (@t48)) % 1.62/1.87 (step @p58 :rule bool-double-not-elim :args (@t25)) % 1.62/1.87 (step @p59 :rule nary_cong :premises (@p33 @p58 @p57) :args ((or @t45 (not @t26) @t48))) % 1.62/1.87 (assume-push @p619 @t44) % 1.62/1.87 (assume-push @p620 @t26) % 1.62/1.87 (assume-push @p621 @t26) % 1.62/1.87 (assume-push @p622 @t44) % 1.62/1.87 (step @p64 :rule false_intro :premises (@p620)) % 1.62/1.87 (step @p40 :rule symm :premises (@p30)) % 1.62/1.87 (step @p65 :rule cong :premises (@p40) :args (@t47)) % 1.62/1.87 (step @p66 :rule trans :premises (@p65 @p64)) % 1.62/1.87 (step @p67 :rule false_elim :premises (@p66)) % 1.62/1.87 (step-pop @p623 :rule scope :premises (@p67)) % 1.62/1.87 (step-pop @p624 :rule scope :premises (@p623)) % 1.62/1.87 (step @p68 :rule process_scope :premises (@p624) :args (@t48)) % 1.62/1.87 (step @p71 :rule and_intro :premises (@p620 @p30)) % 1.62/1.87 (step @p72 :rule modus_ponens :premises (@p71 @p68)) % 1.62/1.87 (step-pop @p625 :rule scope :premises (@p72)) % 1.62/1.87 (step-pop @p626 :rule scope :premises (@p625)) % 1.62/1.87 (step @p73 :rule process_scope :premises (@p626) :args (@t48)) % 1.62/1.87 (step @p76 :rule implies_elim :premises (@p73)) % 1.62/1.87 (step @p77 :rule cnf_and_neg :args (@t49)) % 1.62/1.87 (step @p78 :rule resolution :premises (@p77 @p76) :args (true @t49)) % 1.62/1.87 (step @p79 :rule eq_resolve :premises (@p78 @p59)) % 1.62/1.87 (step @p80 :rule reordering :premises (@p79) :args ((or @t25 @t45 @t48))) % 1.62/1.87 (step @p81 :rule instantiate :premises (@p9) :args ((@list @t40 tptp.a1))) % 1.62/1.87 (step @p82 :rule cnf_or_pos :args (@t52)) % 1.62/1.87 (step @p83 :rule reordering :premises (@p82) :args ((or @t38 @t47 @t42 @t51 (not @t52)))) % 1.62/1.87 (step @p84 :rule instantiate :premises (@p10) :args (@t53)) % 1.62/1.87 (step @p85 :rule cnf_or_pos :args (@t57)) % 1.62/1.87 (step @p86 :rule factoring :premises (@p85)) % 1.62/1.87 (step @p87 :rule reordering :premises (@p86) :args ((or @t55 @t56 (not @t57)))) % 1.62/1.87 (step @p88 :rule instantiate :premises (@p11) :args (@t53)) % 1.62/1.87 (step @p89 :rule cnf_or_pos :args (@t60)) % 1.62/1.87 (step @p90 :rule factoring :premises (@p89)) % 1.62/1.87 (step @p91 :rule reordering :premises (@p90) :args ((or @t59 @t56 (not @t60)))) % 1.62/1.87 (step @p92 :rule instantiate :premises (@p2) :args ((@list @t40))) % 1.62/1.87 (step @p93 :rule cnf_or_pos :args (@t61)) % 1.62/1.87 (step @p94 :rule reordering :premises (@p93) :args ((or @t50 @t54 @t58 (not @t61)))) % 1.62/1.87 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p91 @p88 @p87 @p84) :args ((or @t50 @t56) (@list false true false true false) (@list @t61 @t58 @t60 @t54 @t57))) % 1.62/1.87 (step @p96 :rule instantiate :premises (@p1) :args ((@list tptp.a1 tptp.a1 tptp.a1))) % 1.62/1.87 (step @p97 :rule eq-symm :args (@t63 @t18)) % 1.62/1.87 (step @p98 :rule refl :args (@t5)) % 1.62/1.87 (step @p99 :rule cong :premises (@p98 @p97) :args ((=> @t5 @t64))) % 1.62/1.87 (assume-push @p627 @t5) % 1.62/1.87 (step @p101 :rule instantiate :premises (@p1) :args ((@list tptp.a1 tptp.a1 @t17))) % 1.62/1.87 (step-pop @p628 :rule scope :premises (@p101)) % 1.62/1.87 (step @p102 :rule process_scope :premises (@p628) :args (@t64)) % 1.62/1.87 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 1.62/1.87 (step @p105 :rule implies_elim :premises (@p104)) % 1.62/1.87 (step @p106 :rule chain_m_resolution :premises (@p105 @p1) :args (@t65 @t66 @t67)) % 1.62/1.87 (step @p107 :rule eq-symm :args (@t68 @t28)) % 1.62/1.87 (step @p108 :rule cong :premises (@p98 @p107) :args ((=> @t5 @t69))) % 1.62/1.87 (assume-push @p629 @t5) % 1.62/1.87 (step @p110 :rule instantiate :premises (@p1) :args (@t70)) % 1.62/1.87 (step-pop @p630 :rule scope :premises (@p110)) % 1.62/1.87 (step @p111 :rule process_scope :premises (@p630) :args (@t69)) % 1.62/1.87 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 1.62/1.87 (step @p114 :rule implies_elim :premises (@p113)) % 1.62/1.87 (step @p115 :rule chain_m_resolution :premises (@p114 @p1) :args (@t71 @t66 @t67)) % 1.62/1.87 (step @p116 :rule instantiate :premises (@p1) :args ((@list tptp.a1 tptp.a1 @t62))) % 1.62/1.87 (step @p117 :rule eq-symm :args (@t73 @t32)) % 1.62/1.87 (step @p118 :rule cong :premises (@p98 @p117) :args ((=> @t5 @t74))) % 1.62/1.87 (assume-push @p631 @t5) % 1.62/1.87 (step @p120 :rule instantiate :premises (@p1) :args (@t75)) % 1.62/1.87 (step-pop @p632 :rule scope :premises (@p120)) % 1.62/1.87 (step @p121 :rule process_scope :premises (@p632) :args (@t74)) % 1.62/1.87 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 1.62/1.87 (step @p124 :rule implies_elim :premises (@p123)) % 1.62/1.87 (step @p125 :rule chain_m_resolution :premises (@p124 @p1) :args (@t76 @t66 @t67)) % 1.62/1.87 (step @p126 :rule eq-symm :args (@t78 @t79)) % 1.62/1.87 (step @p127 :rule cong :premises (@p98 @p126) :args ((=> @t5 @t80))) % 1.62/1.87 (assume-push @p633 @t5) % 1.62/1.87 (step @p129 :rule instantiate :premises (@p1) :args (@t81)) % 1.62/1.87 (step-pop @p634 :rule scope :premises (@p129)) % 1.62/1.87 (step @p130 :rule process_scope :premises (@p634) :args (@t80)) % 1.62/1.87 (step @p132 :rule eq_resolve :premises (@p130 @p127)) % 1.62/1.87 (step @p133 :rule implies_elim :premises (@p132)) % 1.62/1.87 (step @p134 :rule chain_m_resolution :premises (@p133 @p1) :args (@t82 @t66 @t67)) % 1.62/1.87 (step @p135 :rule eq-symm :args (@t84 @t85)) % 1.62/1.87 (step @p136 :rule cong :premises (@p98 @p135) :args ((=> @t5 @t86))) % 1.62/1.87 (assume-push @p635 @t5) % 1.62/1.87 (step @p138 :rule instantiate :premises (@p1) :args (@t87)) % 1.62/1.87 (step-pop @p636 :rule scope :premises (@p138)) % 1.62/1.87 (step @p139 :rule process_scope :premises (@p636) :args (@t86)) % 1.62/1.87 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 1.62/1.87 (step @p142 :rule implies_elim :premises (@p141)) % 1.62/1.87 (step @p143 :rule chain_m_resolution :premises (@p142 @p1) :args (@t88 @t66 @t67)) % 1.62/1.87 (step @p144 :rule eq-symm :args (@t89 @t73)) % 1.62/1.87 (step @p145 :rule cong :premises (@p98 @p144) :args ((=> @t5 @t90))) % 1.62/1.87 (assume-push @p637 @t5) % 1.62/1.87 (step @p147 :rule instantiate :premises (@p1) :args (@t91)) % 1.62/1.87 (step-pop @p638 :rule scope :premises (@p147)) % 1.62/1.87 (step @p148 :rule process_scope :premises (@p638) :args (@t90)) % 1.62/1.87 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 1.62/1.87 (step @p151 :rule implies_elim :premises (@p150)) % 1.62/1.87 (step @p152 :rule chain_m_resolution :premises (@p151 @p1) :args (@t92 @t66 @t67)) % 1.62/1.87 (step @p153 :rule instantiate :premises (@p1) :args ((@list @t17 tptp.a1 @t83))) % 1.62/1.87 (assume-push @p639 @t93) % 1.62/1.87 (assume-push @p640 @t65) % 1.62/1.87 (assume-push @p641 @t71) % 1.62/1.87 (assume-push @p642 @t33) % 1.62/1.87 (assume-push @p643 @t95) % 1.62/1.87 (assume-push @p644 @t76) % 1.62/1.87 (assume-push @p645 @t82) % 1.62/1.87 (assume-push @p646 @t88) % 1.62/1.87 (assume-push @p647 @t92) % 1.62/1.87 (assume-push @p648 @t97) % 1.62/1.87 (assume-push @p649 @t33) % 1.62/1.87 (assume-push @p650 @t71) % 1.62/1.87 (assume-push @p651 @t93) % 1.62/1.87 (assume-push @p652 @t95) % 1.62/1.87 (assume-push @p653 @t65) % 1.62/1.87 (assume-push @p654 @t76) % 1.62/1.87 (assume-push @p655 @t92) % 1.62/1.87 (assume-push @p656 @t82) % 1.62/1.87 (assume-push @p657 @t88) % 1.62/1.87 (assume-push @p658 @t97) % 1.62/1.87 (step @p174 :rule true_intro :premises (@p642)) % 1.62/1.87 (step @p110 :rule instantiate :premises (@p1) :args (@t70)) % 1.62/1.87 (step @p175 :rule refl :args (@t17)) % 1.62/1.87 (step @p176 :rule cong :premises (@p175 @p96) :args (@t94)) % 1.62/1.87 (step @p177 :rule refl :args (tptp.a1)) % 1.62/1.87 (step @p178 :rule cong :premises (@p177 @p106) :args (@t77)) % 1.62/1.87 (step @p179 :rule trans :premises (@p178 @p116 @p176 @p110)) % 1.62/1.87 (step @p180 :rule refl :args (@t28)) % 1.62/1.87 (step @p181 :rule cong :premises (@p180 @p179) :args ((tptp.f @t28 @t77))) % 1.62/1.87 (step @p182 :rule symm :premises (@p179)) % 1.62/1.87 (step @p183 :rule cong :premises (@p179 @p182) :args (@t98)) % 1.62/1.87 (step @p184 :rule trans :premises (@p183 @p181)) % 1.62/1.87 (step @p185 :rule cong :premises (@p184) :args ((tptp.c @t98))) % 1.62/1.87 (step @p186 :rule symm :premises (@p183)) % 1.62/1.87 (step @p187 :rule symm :premises (@p181)) % 1.62/1.87 (step @p120 :rule instantiate :premises (@p1) :args (@t75)) % 1.62/1.87 (step @p147 :rule instantiate :premises (@p1) :args (@t91)) % 1.62/1.87 (step @p188 :rule cong :premises (@p177 @p179) :args (@t78)) % 1.62/1.87 (step @p189 :rule trans :premises (@p134 @p188)) % 1.62/1.87 (step @p190 :rule cong :premises (@p175 @p189) :args (@t85)) % 1.62/1.87 (step @p138 :rule instantiate :premises (@p1) :args (@t87)) % 1.62/1.87 (step @p191 :rule trans :premises (@p138 @p190)) % 1.62/1.87 (step @p192 :rule cong :premises (@p175 @p191) :args (@t96)) % 1.62/1.87 (step @p193 :rule symm :premises (@p153)) % 1.62/1.87 (step @p194 :rule refl :args (@t83)) % 1.62/1.87 (step @p195 :rule cong :premises (@p96 @p194) :args (@t99)) % 1.62/1.87 (step @p196 :rule trans :premises (@p195 @p193 @p192 @p147 @p120 @p187 @p186)) % 1.62/1.87 (step @p197 :rule cong :premises (@p196) :args (@t100)) % 1.62/1.87 (step @p198 :rule trans :premises (@p197 @p185 @p174)) % 1.62/1.87 (step @p199 :rule true_elim :premises (@p198)) % 1.62/1.87 (step-pop @p659 :rule scope :premises (@p199)) % 1.62/1.87 (step-pop @p660 :rule scope :premises (@p659)) % 1.62/1.87 (step-pop @p661 :rule scope :premises (@p660)) % 1.62/1.87 (step-pop @p662 :rule scope :premises (@p661)) % 1.62/1.87 (step-pop @p663 :rule scope :premises (@p662)) % 1.62/1.87 (step-pop @p664 :rule scope :premises (@p663)) % 1.62/1.87 (step-pop @p665 :rule scope :premises (@p664)) % 1.62/1.87 (step-pop @p666 :rule scope :premises (@p665)) % 1.62/1.87 (step-pop @p667 :rule scope :premises (@p666)) % 1.62/1.87 (step-pop @p668 :rule scope :premises (@p667)) % 1.62/1.87 (step @p200 :rule process_scope :premises (@p668) :args (@t100)) % 1.62/1.87 (step @p211 :rule and_intro :premises (@p642 @p115 @p96 @p116 @p106 @p125 @p152 @p134 @p143 @p153)) % 1.62/1.87 (step @p212 :rule modus_ponens :premises (@p211 @p200)) % 1.62/1.87 (step-pop @p669 :rule scope :premises (@p212)) % 1.62/1.87 (step-pop @p670 :rule scope :premises (@p669)) % 1.62/1.87 (step-pop @p671 :rule scope :premises (@p670)) % 1.62/1.87 (step-pop @p672 :rule scope :premises (@p671)) % 1.62/1.87 (step-pop @p673 :rule scope :premises (@p672)) % 1.62/1.87 (step-pop @p674 :rule scope :premises (@p673)) % 1.62/1.87 (step-pop @p675 :rule scope :premises (@p674)) % 1.62/1.87 (step-pop @p676 :rule scope :premises (@p675)) % 1.62/1.87 (step-pop @p677 :rule scope :premises (@p676)) % 1.62/1.87 (step-pop @p678 :rule scope :premises (@p677)) % 1.62/1.87 (step @p213 :rule process_scope :premises (@p678) :args (@t100)) % 1.62/1.87 (step @p224 :rule implies_elim :premises (@p213)) % 1.62/1.87 (step @p225 :rule cnf_and_neg :args (@t101)) % 1.62/1.87 (step @p226 :rule resolution :premises (@p225 @p224) :args (true @t101)) % 1.62/1.87 (step @p227 :rule eq-symm :args (@t79 @t102)) % 1.62/1.87 (step @p228 :rule cong :premises (@p98 @p227) :args ((=> @t5 @t103))) % 1.62/1.87 (assume-push @p679 @t5) % 1.62/1.87 (step @p230 :rule instantiate :premises (@p1) :args ((@list @t17 @t17 @t17))) % 1.62/1.87 (step-pop @p680 :rule scope :premises (@p230)) % 1.62/1.87 (step @p231 :rule process_scope :premises (@p680) :args (@t103)) % 1.62/1.87 (step @p233 :rule eq_resolve :premises (@p231 @p228)) % 1.62/1.87 (step @p234 :rule implies_elim :premises (@p233)) % 1.62/1.87 (step @p235 :rule chain_m_resolution :premises (@p234 @p1) :args (@t104 @t66 @t67)) % 1.62/1.87 (step @p236 :rule instantiate :premises (@p1) :args ((@list @t18 tptp.a1 tptp.a1))) % 1.62/1.87 (step @p237 :rule instantiate :premises (@p1) :args ((@list @t17 tptp.a1 @t62))) % 1.62/1.87 (assume-push @p681 @t93) % 1.62/1.87 (assume-push @p682 @t65) % 1.62/1.87 (assume-push @p683 @t71) % 1.62/1.87 (assume-push @p684 @t95) % 1.62/1.87 (assume-push @p685 @t104) % 1.62/1.87 (assume-push @p686 @t82) % 1.62/1.87 (assume-push @p687 @t106) % 1.62/1.87 (assume-push @p688 @t56) % 1.62/1.87 (assume-push @p689 @t108) % 1.62/1.87 (assume-push @p690 @t56) % 1.62/1.87 (assume-push @p691 @t93) % 1.62/1.87 (assume-push @p692 @t108) % 1.62/1.87 (assume-push @p693 @t65) % 1.62/1.87 (assume-push @p694 @t82) % 1.62/1.87 (assume-push @p695 @t95) % 1.62/1.87 (assume-push @p696 @t71) % 1.62/1.87 (assume-push @p697 @t104) % 1.62/1.87 (assume-push @p698 @t106) % 1.62/1.87 (step @p256 :rule true_intro :premises (@p688)) % 1.62/1.87 (step @p257 :rule refl :args (@t40)) % 1.62/1.87 (step @p258 :rule cong :premises (@p257 @p96) :args (@t107)) % 1.62/1.87 (step @p175 :rule refl :args (@t17)) % 1.62/1.87 (step @p259 :rule cong :premises (@p175 @p106) :args (@t79)) % 1.62/1.87 (step @p129 :rule instantiate :premises (@p1) :args (@t81)) % 1.62/1.87 (step @p110 :rule instantiate :premises (@p1) :args (@t70)) % 1.62/1.87 (step @p176 :rule cong :premises (@p175 @p96) :args (@t94)) % 1.62/1.87 (step @p177 :rule refl :args (tptp.a1)) % 1.62/1.87 (step @p178 :rule cong :premises (@p177 @p106) :args (@t77)) % 1.62/1.87 (step @p179 :rule trans :premises (@p178 @p116 @p176 @p110)) % 1.62/1.87 (step @p182 :rule symm :premises (@p179)) % 1.62/1.87 (step @p260 :rule cong :premises (@p177 @p182) :args (@t72)) % 1.62/1.87 (step @p261 :rule trans :premises (@p260 @p129 @p259 @p237 @p258)) % 1.62/1.87 (step @p262 :rule cong :premises (@p261) :args ((tptp.c @t72))) % 1.62/1.87 (step @p188 :rule cong :premises (@p177 @p179) :args (@t78)) % 1.62/1.87 (step @p263 :rule symm :premises (@p236)) % 1.62/1.87 (step @p264 :rule trans :premises (@p263 @p235 @p134 @p188)) % 1.62/1.87 (step @p265 :rule cong :premises (@p264) :args (@t109)) % 1.62/1.87 (step @p266 :rule trans :premises (@p265 @p262 @p256)) % 1.62/1.87 (step @p267 :rule true_elim :premises (@p266)) % 1.62/1.87 (step-pop @p699 :rule scope :premises (@p267)) % 1.62/1.87 (step-pop @p700 :rule scope :premises (@p699)) % 1.62/1.87 (step-pop @p701 :rule scope :premises (@p700)) % 1.62/1.87 (step-pop @p702 :rule scope :premises (@p701)) % 1.62/1.87 (step-pop @p703 :rule scope :premises (@p702)) % 1.62/1.87 (step-pop @p704 :rule scope :premises (@p703)) % 1.62/1.87 (step-pop @p705 :rule scope :premises (@p704)) % 1.62/1.87 (step-pop @p706 :rule scope :premises (@p705)) % 1.62/1.87 (step-pop @p707 :rule scope :premises (@p706)) % 1.62/1.87 (step @p268 :rule process_scope :premises (@p707) :args (@t109)) % 1.62/1.87 (step @p278 :rule and_intro :premises (@p688 @p96 @p237 @p106 @p134 @p116 @p115 @p235 @p236)) % 1.62/1.87 (step @p279 :rule modus_ponens :premises (@p278 @p268)) % 1.62/1.87 (step-pop @p708 :rule scope :premises (@p279)) % 1.62/1.87 (step-pop @p709 :rule scope :premises (@p708)) % 1.62/1.87 (step-pop @p710 :rule scope :premises (@p709)) % 1.62/1.87 (step-pop @p711 :rule scope :premises (@p710)) % 1.62/1.87 (step-pop @p712 :rule scope :premises (@p711)) % 1.62/1.87 (step-pop @p713 :rule scope :premises (@p712)) % 1.62/1.87 (step-pop @p714 :rule scope :premises (@p713)) % 1.62/1.87 (step-pop @p715 :rule scope :premises (@p714)) % 1.62/1.87 (step-pop @p716 :rule scope :premises (@p715)) % 1.62/1.87 (step @p280 :rule process_scope :premises (@p716) :args (@t109)) % 1.62/1.87 (step @p290 :rule implies_elim :premises (@p280)) % 1.62/1.87 (step @p291 :rule cnf_and_neg :args (@t110)) % 1.62/1.87 (step @p292 :rule resolution :premises (@p291 @p290) :args (true @t110)) % 1.62/1.87 (step @p293 :rule instantiate :premises (@p3) :args (@t113)) % 1.62/1.87 (step @p294 :rule cnf_or_pos :args (@t118)) % 1.62/1.87 (step @p295 :rule reordering :premises (@p294) :args ((or @t117 @t115 (not @t118)))) % 1.62/1.87 (step @p296 :rule instantiate :premises (@p4) :args (@t113)) % 1.62/1.87 (step @p297 :rule cnf_or_pos :args (@t121)) % 1.62/1.87 (step @p298 :rule reordering :premises (@p297) :args ((or @t117 @t120 (not @t121)))) % 1.62/1.87 (step @p299 :rule instantiate :premises (@p1) :args ((@list tptp.a1 @t17 @t17))) % 1.62/1.87 (step @p300 :rule instantiate :premises (@p1) :args ((@list @t18 @t17 @t17))) % 1.62/1.87 (step @p301 :rule eq-symm :args (@t85 @t111)) % 1.62/1.87 (step @p302 :rule cong :premises (@p98 @p301) :args ((=> @t5 @t122))) % 1.62/1.87 (assume-push @p717 @t5) % 1.62/1.87 (step @p304 :rule instantiate :premises (@p1) :args (@t123)) % 1.62/1.87 (step-pop @p718 :rule scope :premises (@p304)) % 1.62/1.87 (step @p305 :rule process_scope :premises (@p718) :args (@t122)) % 1.62/1.87 (step @p307 :rule eq_resolve :premises (@p305 @p302)) % 1.62/1.87 (step @p308 :rule implies_elim :premises (@p307)) % 1.62/1.87 (step @p309 :rule chain_m_resolution :premises (@p308 @p1) :args (@t124 @t66 @t67)) % 1.62/1.87 (step @p310 :rule eq-symm :args (@t125 @t126)) % 1.62/1.87 (step @p311 :rule cong :premises (@p98 @p310) :args ((=> @t5 @t127))) % 1.62/1.87 (assume-push @p719 @t5) % 1.62/1.87 (step @p313 :rule instantiate :premises (@p1) :args (@t128)) % 1.62/1.87 (step-pop @p720 :rule scope :premises (@p313)) % 1.62/1.87 (step @p314 :rule process_scope :premises (@p720) :args (@t127)) % 1.62/1.87 (step @p316 :rule eq_resolve :premises (@p314 @p311)) % 1.62/1.87 (step @p317 :rule implies_elim :premises (@p316)) % 1.62/1.87 (step @p318 :rule chain_m_resolution :premises (@p317 @p1) :args (@t129 @t66 @t67)) % 1.62/1.87 (step @p319 :rule instantiate :premises (@p1) :args ((@list @t28 @t17 @t17))) % 1.62/1.87 (step @p320 :rule instantiate :premises (@p1) :args ((@list @t111 tptp.a1 @t83))) % 1.62/1.87 (step @p321 :rule instantiate :premises (@p1) :args ((@list @t17 @t77 tptp.a1))) % 1.62/1.87 (step @p322 :rule instantiate :premises (@p1) :args ((@list @t18 @t17 @t40))) % 1.62/1.87 (step @p323 :rule instantiate :premises (@p1) :args ((@list @t17 tptp.a1 @t18))) % 1.62/1.87 (step @p324 :rule instantiate :premises (@p1) :args ((@list @t62 @t17 @t17))) % 1.62/1.87 (step @p325 :rule instantiate :premises (@p1) :args ((@list @t130 tptp.a1 tptp.a1))) % 1.62/1.87 (step @p326 :rule instantiate :premises (@p1) :args ((@list @t105 @t62 @t83))) % 1.62/1.87 (step @p327 :rule refl :args (@t133)) % 1.62/1.87 (step @p328 :rule refl :args (@t137)) % 1.62/1.87 (step @p329 :rule refl :args (@t142)) % 1.62/1.87 (step @p330 :rule refl :args (@t146)) % 1.62/1.87 (step @p331 :rule refl :args (@t149)) % 1.62/1.87 (step @p332 :rule refl :args (@t152)) % 1.62/1.87 (step @p333 :rule refl :args (@t156)) % 1.62/1.87 (step @p334 :rule refl :args (@t159)) % 1.62/1.87 (step @p335 :rule bool-double-not-elim :args (@t114)) % 1.62/1.87 (step @p336 :rule refl :args (@t160)) % 1.62/1.87 (step @p337 :rule refl :args (@t162)) % 1.62/1.87 (step @p338 :rule refl :args (@t163)) % 1.62/1.87 (step @p339 :rule refl :args (@t164)) % 1.62/1.87 (step @p340 :rule refl :args (@t165)) % 1.62/1.87 (step @p341 :rule refl :args (@t166)) % 1.62/1.87 (step @p342 :rule refl :args (@t168)) % 1.62/1.87 (step @p343 :rule refl :args (@t169)) % 1.62/1.87 (step @p344 :rule refl :args (@t170)) % 1.62/1.87 (step @p345 :rule refl :args (@t172)) % 1.62/1.87 (step @p346 :rule refl :args (@t173)) % 1.62/1.87 (step @p347 :rule refl :args (@t174)) % 1.62/1.87 (step @p348 :rule nary_cong :premises (@p347 @p346 @p345 @p344 @p343 @p342 @p341 @p340 @p339 @p338 @p337 @p336 @p335 @p334 @p333 @p332 @p331 @p330 @p329 @p328 @p327) :args ((or @t174 @t173 @t172 @t170 @t169 @t168 @t166 @t165 @t164 @t163 @t162 @t160 (not @t115) @t159 @t156 @t152 @t149 @t146 @t142 @t137 @t133))) % 1.62/1.87 (assume-push @p721 @t93) % 1.62/1.87 (assume-push @p722 @t65) % 1.62/1.87 (assume-push @p723 @t171) % 1.62/1.87 (assume-push @p724 @t71) % 1.62/1.87 (assume-push @p725 @t95) % 1.62/1.87 (assume-push @p726 @t167) % 1.62/1.87 (assume-push @p727 @t124) % 1.62/1.87 (assume-push @p728 @t104) % 1.62/1.87 (assume-push @p729 @t129) % 1.62/1.87 (assume-push @p730 @t106) % 1.62/1.87 (assume-push @p731 @t161) % 1.62/1.87 (assume-push @p732 @t88) % 1.62/1.87 (assume-push @p733 @t115) % 1.62/1.87 (assume-push @p734 @t158) % 1.62/1.87 (assume-push @p735 @t155) % 1.62/1.87 (assume-push @p736 @t151) % 1.62/1.87 (assume-push @p737 @t148) % 1.62/1.87 (assume-push @p738 @t145) % 1.62/1.87 (assume-push @p739 @t141) % 1.62/1.87 (assume-push @p740 @t136) % 1.62/1.87 (assume-push @p741 @t115) % 1.62/1.87 (assume-push @p742 @t124) % 1.62/1.87 (assume-push @p743 @t88) % 1.62/1.87 (assume-push @p744 @t158) % 1.62/1.87 (assume-push @p745 @t167) % 1.62/1.87 (assume-push @p746 @t106) % 1.62/1.87 (assume-push @p747 @t71) % 1.62/1.87 (assume-push @p748 @t93) % 1.62/1.87 (assume-push @p749 @t95) % 1.62/1.87 (assume-push @p750 @t65) % 1.62/1.87 (assume-push @p751 @t104) % 1.62/1.87 (assume-push @p752 @t155) % 1.62/1.87 (assume-push @p753 @t148) % 1.62/1.87 (assume-push @p754 @t145) % 1.62/1.87 (assume-push @p755 @t171) % 1.62/1.87 (assume-push @p756 @t141) % 1.62/1.87 (assume-push @p757 @t161) % 1.62/1.87 (assume-push @p758 @t129) % 1.62/1.87 (assume-push @p759 @t151) % 1.62/1.87 (assume-push @p760 @t136) % 1.62/1.87 (step @p389 :rule false_intro :premises (@p733)) % 1.62/1.87 (step @p304 :rule instantiate :premises (@p1) :args (@t123)) % 1.62/1.87 (step @p138 :rule instantiate :premises (@p1) :args (@t87)) % 1.62/1.87 (step @p390 :rule trans :premises (@p138 @p304)) % 1.62/1.87 (step @p391 :rule refl :args (@t111)) % 1.62/1.87 (step @p392 :rule cong :premises (@p391 @p390) :args (@t157)) % 1.62/1.87 (step @p393 :rule symm :premises (@p320)) % 1.62/1.87 (step @p194 :rule refl :args (@t83)) % 1.62/1.87 (step @p177 :rule refl :args (tptp.a1)) % 1.62/1.87 (step @p394 :rule symm :premises (@p300)) % 1.62/1.87 (step @p175 :rule refl :args (@t17)) % 1.62/1.87 (step @p263 :rule symm :premises (@p236)) % 1.62/1.87 (step @p110 :rule instantiate :premises (@p1) :args (@t70)) % 1.62/1.87 (step @p176 :rule cong :premises (@p175 @p96) :args (@t94)) % 1.62/1.87 (step @p178 :rule cong :premises (@p177 @p106) :args (@t77)) % 1.62/1.87 (step @p179 :rule trans :premises (@p178 @p116 @p176 @p110)) % 1.62/1.87 (step @p395 :rule cong :premises (@p179 @p177) :args (@t153)) % 1.62/1.87 (step @p396 :rule trans :premises (@p395 @p263)) % 1.62/1.87 (step @p397 :rule cong :premises (@p396 @p175) :args (@t175)) % 1.62/1.87 (step @p398 :rule trans :premises (@p397 @p394)) % 1.62/1.87 (step @p399 :rule cong :premises (@p398 @p177) :args (@t176)) % 1.62/1.87 (step @p400 :rule symm :premises (@p399)) % 1.62/1.87 (step @p401 :rule trans :premises (@p395 @p263 @p235)) % 1.62/1.87 (step @p402 :rule cong :premises (@p175 @p401) :args (@t154)) % 1.62/1.87 (step @p403 :rule symm :premises (@p321)) % 1.62/1.87 (step @p404 :rule symm :premises (@p323)) % 1.62/1.87 (step @p405 :rule refl :args (@t18)) % 1.62/1.87 (step @p406 :rule cong :premises (@p96 @p405) :args (@t144)) % 1.62/1.87 (step @p407 :rule symm :premises (@p324)) % 1.62/1.87 (step @p182 :rule symm :premises (@p179)) % 1.62/1.87 (step @p408 :rule trans :premises (@p182 @p299)) % 1.62/1.87 (step @p409 :rule cong :premises (@p408 @p175) :args (@t130)) % 1.62/1.87 (step @p410 :rule trans :premises (@p409 @p407 @p406 @p404)) % 1.62/1.87 (step @p411 :rule cong :premises (@p410 @p177) :args (@t138)) % 1.62/1.87 (step @p412 :rule trans :premises (@p411 @p403 @p402 @p304)) % 1.62/1.87 (step @p413 :rule cong :premises (@p412 @p177) :args (@t139)) % 1.62/1.87 (step @p414 :rule trans :premises (@p319 @p325 @p413 @p400)) % 1.62/1.87 (step @p313 :rule instantiate :premises (@p1) :args (@t128)) % 1.62/1.87 (step @p415 :rule symm :premises (@p178)) % 1.62/1.87 (step @p416 :rule symm :premises (@p116)) % 1.62/1.87 (step @p417 :rule symm :premises (@p176)) % 1.62/1.87 (step @p418 :rule trans :premises (@p417 @p416 @p415)) % 1.62/1.87 (step @p419 :rule cong :premises (@p405 @p418) :args (@t150)) % 1.62/1.87 (step @p420 :rule symm :premises (@p322)) % 1.62/1.87 (step @p421 :rule cong :premises (@p263 @p96) :args (@t134)) % 1.62/1.87 (step @p422 :rule trans :premises (@p421 @p420 @p419 @p313)) % 1.62/1.87 (step @p423 :rule trans :premises (@p422 @p414 @p399)) % 1.62/1.87 (step @p424 :rule cong :premises (@p423 @p194) :args (@t135)) % 1.62/1.87 (step @p425 :rule trans :premises (@p326 @p424 @p393 @p392)) % 1.62/1.87 (step @p426 :rule cong :premises (@p425) :args (@t132)) % 1.62/1.87 (step @p427 :rule trans :premises (@p426 @p389)) % 1.62/1.87 (step @p428 :rule false_elim :premises (@p427)) % 1.62/1.87 (step-pop @p761 :rule scope :premises (@p428)) % 1.62/1.87 (step-pop @p762 :rule scope :premises (@p761)) % 1.62/1.87 (step-pop @p763 :rule scope :premises (@p762)) % 1.62/1.87 (step-pop @p764 :rule scope :premises (@p763)) % 1.62/1.87 (step-pop @p765 :rule scope :premises (@p764)) % 1.62/1.87 (step-pop @p766 :rule scope :premises (@p765)) % 1.62/1.87 (step-pop @p767 :rule scope :premises (@p766)) % 1.62/1.87 (step-pop @p768 :rule scope :premises (@p767)) % 1.62/1.87 (step-pop @p769 :rule scope :premises (@p768)) % 1.62/1.87 (step-pop @p770 :rule scope :premises (@p769)) % 1.62/1.87 (step-pop @p771 :rule scope :premises (@p770)) % 1.62/1.87 (step-pop @p772 :rule scope :premises (@p771)) % 1.62/1.87 (step-pop @p773 :rule scope :premises (@p772)) % 1.62/1.87 (step-pop @p774 :rule scope :premises (@p773)) % 1.62/1.87 (step-pop @p775 :rule scope :premises (@p774)) % 1.62/1.87 (step-pop @p776 :rule scope :premises (@p775)) % 1.62/1.87 (step-pop @p777 :rule scope :premises (@p776)) % 1.62/1.87 (step-pop @p778 :rule scope :premises (@p777)) % 1.62/1.87 (step-pop @p779 :rule scope :premises (@p778)) % 1.62/1.87 (step-pop @p780 :rule scope :premises (@p779)) % 1.62/1.87 (step @p429 :rule process_scope :premises (@p780) :args (@t133)) % 1.62/1.87 (step @p450 :rule and_intro :premises (@p733 @p309 @p143 @p320 @p300 @p236 @p115 @p96 @p116 @p106 @p235 @p321 @p323 @p324 @p299 @p325 @p319 @p318 @p322 @p326)) % 1.62/1.87 (step @p451 :rule modus_ponens :premises (@p450 @p429)) % 1.62/1.87 (step-pop @p781 :rule scope :premises (@p451)) % 1.62/1.87 (step-pop @p782 :rule scope :premises (@p781)) % 1.62/1.87 (step-pop @p783 :rule scope :premises (@p782)) % 1.62/1.87 (step-pop @p784 :rule scope :premises (@p783)) % 1.62/1.87 (step-pop @p785 :rule scope :premises (@p784)) % 1.62/1.87 (step-pop @p786 :rule scope :premises (@p785)) % 1.62/1.87 (step-pop @p787 :rule scope :premises (@p786)) % 1.62/1.87 (step-pop @p788 :rule scope :premises (@p787)) % 1.62/1.87 (step-pop @p789 :rule scope :premises (@p788)) % 1.62/1.87 (step-pop @p790 :rule scope :premises (@p789)) % 1.62/1.87 (step-pop @p791 :rule scope :premises (@p790)) % 1.62/1.87 (step-pop @p792 :rule scope :premises (@p791)) % 1.62/1.87 (step-pop @p793 :rule scope :premises (@p792)) % 1.62/1.87 (step-pop @p794 :rule scope :premises (@p793)) % 1.62/1.87 (step-pop @p795 :rule scope :premises (@p794)) % 1.62/1.87 (step-pop @p796 :rule scope :premises (@p795)) % 1.62/1.87 (step-pop @p797 :rule scope :premises (@p796)) % 1.62/1.87 (step-pop @p798 :rule scope :premises (@p797)) % 1.62/1.87 (step-pop @p799 :rule scope :premises (@p798)) % 1.62/1.87 (step-pop @p800 :rule scope :premises (@p799)) % 1.62/1.87 (step @p452 :rule process_scope :premises (@p800) :args (@t133)) % 1.62/1.87 (step @p473 :rule implies_elim :premises (@p452)) % 1.62/1.87 (step @p474 :rule cnf_and_neg :args (@t177)) % 1.62/1.87 (step @p475 :rule resolution :premises (@p474 @p473) :args (true @t177)) % 1.62/1.87 (step @p476 :rule eq_resolve :premises (@p475 @p348)) % 1.62/1.87 (step @p477 :rule reordering :premises (@p476) :args ((or @t174 @t173 @t172 @t170 @t169 @t168 @t166 @t114 @t165 @t164 @t163 @t162 @t160 @t159 @t156 @t152 @t149 @t146 @t142 @t137 @t133))) % 1.62/1.87 (step @p478 :rule refl :args (@t179)) % 1.62/1.87 (step @p479 :rule bool-double-not-elim :args (@t119)) % 1.62/1.87 (step @p480 :rule nary_cong :premises (@p347 @p346 @p345 @p344 @p343 @p342 @p341 @p340 @p339 @p338 @p337 @p336 @p479 @p334 @p333 @p332 @p331 @p330 @p329 @p328 @p478) :args ((or @t174 @t173 @t172 @t170 @t169 @t168 @t166 @t165 @t164 @t163 @t162 @t160 (not @t120) @t159 @t156 @t152 @t149 @t146 @t142 @t137 @t179))) % 1.62/1.87 (assume-push @p801 @t93) % 1.62/1.87 (assume-push @p802 @t65) % 1.62/1.87 (assume-push @p803 @t171) % 1.62/1.87 (assume-push @p804 @t71) % 1.62/1.87 (assume-push @p805 @t95) % 1.62/1.87 (assume-push @p806 @t167) % 1.62/1.87 (assume-push @p807 @t124) % 1.62/1.87 (assume-push @p808 @t104) % 1.62/1.87 (assume-push @p809 @t129) % 1.62/1.87 (assume-push @p810 @t106) % 1.62/1.87 (assume-push @p811 @t161) % 1.62/1.87 (assume-push @p812 @t88) % 1.62/1.87 (assume-push @p813 @t120) % 1.62/1.87 (assume-push @p814 @t158) % 1.62/1.87 (assume-push @p815 @t155) % 1.62/1.87 (assume-push @p816 @t151) % 1.62/1.87 (assume-push @p817 @t148) % 1.62/1.87 (assume-push @p818 @t145) % 1.62/1.87 (assume-push @p819 @t141) % 1.62/1.87 (assume-push @p820 @t136) % 1.62/1.87 (assume-push @p821 @t120) % 1.62/1.87 (assume-push @p822 @t124) % 1.62/1.87 (assume-push @p823 @t88) % 1.62/1.87 (assume-push @p824 @t158) % 1.62/1.87 (assume-push @p825 @t167) % 1.62/1.87 (assume-push @p826 @t106) % 1.62/1.87 (assume-push @p827 @t71) % 1.62/1.87 (assume-push @p828 @t93) % 1.62/1.87 (assume-push @p829 @t95) % 1.62/1.87 (assume-push @p830 @t65) % 1.62/1.87 (assume-push @p831 @t104) % 1.62/1.87 (assume-push @p832 @t155) % 1.62/1.87 (assume-push @p833 @t148) % 1.62/1.87 (assume-push @p834 @t145) % 1.62/1.87 (assume-push @p835 @t171) % 1.62/1.87 (assume-push @p836 @t141) % 1.62/1.87 (assume-push @p837 @t161) % 1.62/1.87 (assume-push @p838 @t129) % 1.62/1.87 (assume-push @p839 @t151) % 1.62/1.87 (assume-push @p840 @t136) % 1.62/1.87 (step @p521 :rule false_intro :premises (@p813)) % 1.62/1.87 (step @p304 :rule instantiate :premises (@p1) :args (@t123)) % 1.62/1.87 (step @p138 :rule instantiate :premises (@p1) :args (@t87)) % 1.62/1.87 (step @p390 :rule trans :premises (@p138 @p304)) % 1.62/1.87 (step @p391 :rule refl :args (@t111)) % 1.62/1.87 (step @p392 :rule cong :premises (@p391 @p390) :args (@t157)) % 1.62/1.87 (step @p393 :rule symm :premises (@p320)) % 1.62/1.87 (step @p194 :rule refl :args (@t83)) % 1.62/1.87 (step @p177 :rule refl :args (tptp.a1)) % 1.62/1.87 (step @p394 :rule symm :premises (@p300)) % 1.62/1.87 (step @p175 :rule refl :args (@t17)) % 1.62/1.87 (step @p263 :rule symm :premises (@p236)) % 1.62/1.87 (step @p110 :rule instantiate :premises (@p1) :args (@t70)) % 1.62/1.87 (step @p176 :rule cong :premises (@p175 @p96) :args (@t94)) % 1.62/1.87 (step @p178 :rule cong :premises (@p177 @p106) :args (@t77)) % 1.62/1.87 (step @p179 :rule trans :premises (@p178 @p116 @p176 @p110)) % 1.62/1.87 (step @p395 :rule cong :premises (@p179 @p177) :args (@t153)) % 1.62/1.87 (step @p396 :rule trans :premises (@p395 @p263)) % 1.62/1.87 (step @p397 :rule cong :premises (@p396 @p175) :args (@t175)) % 1.62/1.87 (step @p398 :rule trans :premises (@p397 @p394)) % 1.62/1.87 (step @p399 :rule cong :premises (@p398 @p177) :args (@t176)) % 1.62/1.87 (step @p400 :rule symm :premises (@p399)) % 1.62/1.87 (step @p401 :rule trans :premises (@p395 @p263 @p235)) % 1.62/1.87 (step @p402 :rule cong :premises (@p175 @p401) :args (@t154)) % 1.62/1.87 (step @p403 :rule symm :premises (@p321)) % 1.62/1.87 (step @p404 :rule symm :premises (@p323)) % 1.62/1.87 (step @p405 :rule refl :args (@t18)) % 1.62/1.87 (step @p406 :rule cong :premises (@p96 @p405) :args (@t144)) % 1.62/1.87 (step @p407 :rule symm :premises (@p324)) % 1.62/1.87 (step @p182 :rule symm :premises (@p179)) % 1.62/1.87 (step @p408 :rule trans :premises (@p182 @p299)) % 1.62/1.87 (step @p409 :rule cong :premises (@p408 @p175) :args (@t130)) % 1.62/1.87 (step @p410 :rule trans :premises (@p409 @p407 @p406 @p404)) % 1.62/1.87 (step @p411 :rule cong :premises (@p410 @p177) :args (@t138)) % 1.62/1.87 (step @p412 :rule trans :premises (@p411 @p403 @p402 @p304)) % 1.62/1.87 (step @p413 :rule cong :premises (@p412 @p177) :args (@t139)) % 1.62/1.87 (step @p414 :rule trans :premises (@p319 @p325 @p413 @p400)) % 1.62/1.87 (step @p313 :rule instantiate :premises (@p1) :args (@t128)) % 1.62/1.87 (step @p415 :rule symm :premises (@p178)) % 1.62/1.87 (step @p416 :rule symm :premises (@p116)) % 1.62/1.87 (step @p417 :rule symm :premises (@p176)) % 1.62/1.87 (step @p418 :rule trans :premises (@p417 @p416 @p415)) % 1.62/1.87 (step @p419 :rule cong :premises (@p405 @p418) :args (@t150)) % 1.62/1.87 (step @p420 :rule symm :premises (@p322)) % 1.62/1.87 (step @p421 :rule cong :premises (@p263 @p96) :args (@t134)) % 1.62/1.87 (step @p422 :rule trans :premises (@p421 @p420 @p419 @p313)) % 1.62/1.87 (step @p423 :rule trans :premises (@p422 @p414 @p399)) % 1.62/1.87 (step @p424 :rule cong :premises (@p423 @p194) :args (@t135)) % 1.62/1.87 (step @p425 :rule trans :premises (@p326 @p424 @p393 @p392)) % 1.62/1.87 (step @p522 :rule cong :premises (@p425) :args (@t178)) % 1.62/1.87 (step @p523 :rule trans :premises (@p522 @p521)) % 1.62/1.87 (step @p524 :rule false_elim :premises (@p523)) % 1.62/1.87 (step-pop @p841 :rule scope :premises (@p524)) % 1.62/1.87 (step-pop @p842 :rule scope :premises (@p841)) % 1.62/1.87 (step-pop @p843 :rule scope :premises (@p842)) % 1.62/1.87 (step-pop @p844 :rule scope :premises (@p843)) % 1.62/1.87 (step-pop @p845 :rule scope :premises (@p844)) % 1.62/1.87 (step-pop @p846 :rule scope :premises (@p845)) % 1.62/1.87 (step-pop @p847 :rule scope :premises (@p846)) % 1.62/1.87 (step-pop @p848 :rule scope :premises (@p847)) % 1.62/1.87 (step-pop @p849 :rule scope :premises (@p848)) % 1.62/1.87 (step-pop @p850 :rule scope :premises (@p849)) % 1.62/1.87 (step-pop @p851 :rule scope :premises (@p850)) % 1.62/1.87 (step-pop @p852 :rule scope :premises (@p851)) % 1.62/1.87 (step-pop @p853 :rule scope :premises (@p852)) % 1.62/1.87 (step-pop @p854 :rule scope :premises (@p853)) % 1.62/1.87 (step-pop @p855 :rule scope :premises (@p854)) % 1.62/1.87 (step-pop @p856 :rule scope :premises (@p855)) % 1.62/1.87 (step-pop @p857 :rule scope :premises (@p856)) % 1.62/1.87 (step-pop @p858 :rule scope :premises (@p857)) % 1.62/1.87 (step-pop @p859 :rule scope :premises (@p858)) % 1.62/1.87 (step-pop @p860 :rule scope :premises (@p859)) % 1.62/1.87 (step @p525 :rule process_scope :premises (@p860) :args (@t179)) % 1.62/1.87 (step @p546 :rule and_intro :premises (@p813 @p309 @p143 @p320 @p300 @p236 @p115 @p96 @p116 @p106 @p235 @p321 @p323 @p324 @p299 @p325 @p319 @p318 @p322 @p326)) % 1.62/1.87 (step @p547 :rule modus_ponens :premises (@p546 @p525)) % 1.62/1.87 (step-pop @p861 :rule scope :premises (@p547)) % 1.62/1.87 (step-pop @p862 :rule scope :premises (@p861)) % 1.62/1.87 (step-pop @p863 :rule scope :premises (@p862)) % 1.62/1.87 (step-pop @p864 :rule scope :premises (@p863)) % 1.62/1.87 (step-pop @p865 :rule scope :premises (@p864)) % 1.62/1.87 (step-pop @p866 :rule scope :premises (@p865)) % 1.62/1.87 (step-pop @p867 :rule scope :premises (@p866)) % 1.62/1.87 (step-pop @p868 :rule scope :premises (@p867)) % 1.62/1.87 (step-pop @p869 :rule scope :premises (@p868)) % 1.62/1.87 (step-pop @p870 :rule scope :premises (@p869)) % 1.62/1.87 (step-pop @p871 :rule scope :premises (@p870)) % 1.62/1.87 (step-pop @p872 :rule scope :premises (@p871)) % 1.62/1.87 (step-pop @p873 :rule scope :premises (@p872)) % 1.62/1.87 (step-pop @p874 :rule scope :premises (@p873)) % 1.62/1.87 (step-pop @p875 :rule scope :premises (@p874)) % 1.62/1.87 (step-pop @p876 :rule scope :premises (@p875)) % 1.62/1.87 (step-pop @p877 :rule scope :premises (@p876)) % 1.62/1.87 (step-pop @p878 :rule scope :premises (@p877)) % 1.62/1.87 (step-pop @p879 :rule scope :premises (@p878)) % 1.62/1.87 (step-pop @p880 :rule scope :premises (@p879)) % 1.62/1.87 (step @p548 :rule process_scope :premises (@p880) :args (@t179)) % 1.62/1.87 (step @p569 :rule implies_elim :premises (@p548)) % 1.62/1.87 (step @p570 :rule cnf_and_neg :args (@t180)) % 1.62/1.87 (step @p571 :rule resolution :premises (@p570 @p569) :args (true @t180)) % 1.62/1.87 (step @p572 :rule eq_resolve :premises (@p571 @p480)) % 1.62/1.87 (step @p573 :rule reordering :premises (@p572) :args ((or @t174 @t173 @t172 @t170 @t169 @t168 @t166 @t119 @t165 @t164 @t163 @t162 @t160 @t159 @t156 @t152 @t149 @t146 @t142 @t137 @t179))) % 1.62/1.87 (step @p574 :rule instantiate :premises (@p9) :args ((@list @t105 @t99))) % 1.62/1.87 (step @p575 :rule cnf_or_pos :args (@t183)) % 1.62/1.87 (step @p576 :rule reordering :premises (@p575) :args ((or @t178 @t132 @t182 @t181 (not @t183)))) % 1.62/1.87 (step @p577 :rule chain_m_resolution :premises (@p576 @p574 @p573 @p326 @p325 @p324 @p323 @p322 @p321 @p320 @p143 @p319 @p236 @p318 @p235 @p309 @p300 @p116 @p115 @p299 @p106 @p96 @p477 @p326 @p325 @p324 @p323 @p322 @p321 @p320 @p143 @p319 @p236 @p318 @p235 @p309 @p300 @p116 @p115 @p299 @p106 @p96 @p298 @p296 @p295 @p293) :args ((or @t117 @t182 @t181) (@list false true false false false false false false false false false false false false false false false false false false false true false false false false false false false false false false false false false false false false false false false true false true false) (@list @t183 @t178 @t136 @t141 @t145 @t148 @t151 @t155 @t158 @t88 @t161 @t106 @t129 @t104 @t124 @t167 @t95 @t71 @t171 @t65 @t93 @t132 @t136 @t141 @t145 @t148 @t151 @t155 @t158 @t88 @t161 @t106 @t129 @t104 @t124 @t167 @t95 @t71 @t171 @t65 @t93 @t119 @t121 @t114 @t118))) % 1.62/1.87 (step @p578 :rule instantiate :premises (@p11) :args (@t184)) % 1.62/1.87 (step @p579 :rule cnf_or_pos :args (@t187)) % 1.62/1.87 (step @p580 :rule factoring :premises (@p579)) % 1.62/1.87 (step @p581 :rule reordering :premises (@p580) :args ((or @t186 @t116 (not @t187)))) % 1.62/1.87 (step @p582 :rule instantiate :premises (@p10) :args (@t184)) % 1.62/1.87 (step @p583 :rule cnf_or_pos :args (@t190)) % 1.62/1.87 (step @p584 :rule factoring :premises (@p583)) % 1.62/1.87 (step @p585 :rule reordering :premises (@p584) :args ((or @t189 @t116 (not @t190)))) % 1.62/1.87 (step @p586 :rule instantiate :premises (@p9) :args ((@list @t18 @t18))) % 1.62/1.87 (step @p587 :rule cnf_or_pos :args (@t191)) % 1.62/1.87 (step @p588 :rule factoring :premises (@p587)) % 1.62/1.87 (step @p589 :rule reordering :premises (@p588) :args ((or @t23 @t185 @t188 (not @t191)))) % 1.62/1.87 (step @p590 :rule chain_m_resolution :premises (@p589 @p586 @p585 @p582 @p581 @p578 @p577 @p292 @p237 @p236 @p134 @p235 @p116 @p115 @p106 @p96 @p226 @p153 @p152 @p143 @p134 @p125 @p116 @p115 @p106 @p96 @p95 @p83 @p81 @p6 @p80 @p30 @p56 @p30 @p29 @p17 @p15 @p14 @p12) :args (@t23 (@list false true false true false true false false false false false false false false false false false false false false false false false false false false true false false true false true false false true false true false) (@list @t191 @t188 @t190 @t185 @t187 @t116 @t109 @t108 @t106 @t82 @t104 @t95 @t71 @t65 @t93 @t100 @t97 @t92 @t88 @t82 @t76 @t95 @t71 @t65 @t93 @t56 @t50 @t52 @t13 @t47 @t44 @t42 @t44 @t33 @t25 @t27 @t20 @t24))) % 1.62/1.87 (step @p591 :rule instantiate :premises (@p9) :args ((@list tptp.a1 tptp.a1))) % 1.62/1.87 (step @p592 :rule instantiate :premises (@p11) :args (@t192)) % 1.62/1.87 (step @p593 :rule cnf_or_pos :args (@t195)) % 1.62/1.87 (step @p594 :rule factoring :premises (@p593)) % 1.62/1.87 (step @p595 :rule reordering :premises (@p594) :args ((or @t194 @t22 (not @t195)))) % 1.62/1.87 (step @p596 :rule chain_m_resolution :premises (@p595 @p590 @p592) :args (@t194 @t196 (@list @t22 @t195))) % 1.62/1.87 (step @p597 :rule cnf_or_pos :args (@t198)) % 1.62/1.87 (step @p598 :rule factoring :premises (@p597)) % 1.62/1.87 (step @p599 :rule reordering :premises (@p598) :args ((or @t38 @t193 @t197 (not @t198)))) % 1.62/1.87 (step @p600 :rule chain_m_resolution :premises (@p599 @p6 @p596 @p591) :args (@t197 (@list false true false) (@list @t13 @t193 @t198))) % 1.62/1.87 (step @p601 :rule cnf_or_pos :args (@t200)) % 1.62/1.87 (step @p602 :rule factoring :premises (@p601)) % 1.62/1.87 (step @p603 :rule reordering :premises (@p602) :args ((or @t199 @t22 @t201))) % 1.62/1.87 (step @p604 :rule chain_m_resolution :premises (@p603 @p600 @p590) :args (@t201 (@list false true) (@list @t197 @t22))) % 1.62/1.87 (assume-push @p881 @t16) % 1.62/1.87 (step @p606 :rule instantiate :premises (@p10) :args (@t192)) % 1.62/1.87 (step-pop @p882 :rule scope :premises (@p606)) % 1.62/1.87 (step @p607 :rule process_scope :premises (@p882) :args (@t200)) % 1.62/1.87 (step @p609 :rule implies_elim :premises (@p607)) % 1.62/1.87 (step @p610 false :rule chain_m_resolution :premises (@p609 @p604 @p10) :args (false @t196 (@list @t200 @t16))) % 1.62/1.87 ) % 1.62/1.88 % SZS output end Proof % 1.62/1.88 % cvc5 exiting %------------------------------------------------------------------------------