%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO249^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:12:18 AM UTC 2026 % Result : Theorem 151.32s 151.66s % Output : Proof 151.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO249^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n001.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:02:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 151.32/151.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.32/151.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 151.32/151.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 151.32/151.66 --- Run --ho-elim --full-saturate-quant at 18s... % 151.32/151.66 % SZS status Theorem % 151.32/151.66 % SZS output start Proof % 151.32/151.66 ( % 151.32/151.66 (declare-sort $$unsorted 0) % 151.32/151.66 (declare-const tptp.cTIMES (-> $$unsorted $$unsorted $$unsorted)) % 151.32/151.66 (declare-const tptp.cHH_2 (-> $$unsorted Bool)) % 151.32/151.66 (declare-const tptp.cBIGHI (-> $$unsorted $$unsorted)) % 151.32/151.66 (declare-const tptp.cHH_1 (-> $$unsorted Bool)) % 151.32/151.66 (declare-const tptp.el1 (-> $$unsorted (-> $$unsorted Bool) Bool)) % 151.32/151.66 (declare-const tptp.cSS_PRIME (-> $$unsorted Bool)) % 151.32/151.66 (declare-const tptp.cPHI_1 (-> $$unsorted $$unsorted)) % 151.32/151.66 (declare-const tptp.cHOM_FROM_SS_PRIME (-> (-> $$unsorted $$unsorted) Bool)) % 151.32/151.66 (declare-const tptp.cPHI_2 (-> $$unsorted $$unsorted)) % 151.32/151.66 (declare-const tptp.cHOM_FROM_HH_1 (-> (-> $$unsorted $$unsorted) Bool)) % 151.32/151.66 (declare-const tptp.cBIGPHI (-> $$unsorted $$unsorted)) % 151.32/151.66 (define @t1 () (_ tptp.cHOM_FROM_HH_1 tptp.cBIGPHI)) % 151.32/151.66 (define @t2 () (_ tptp.cHOM_FROM_SS_PRIME tptp.cPHI_2)) % 151.32/151.66 (define @t3 () (_ tptp.cHOM_FROM_SS_PRIME tptp.cPHI_1)) % 151.32/151.66 (define @t4 () (@var "Xy" $$unsorted)) % 151.32/151.66 (define @t5 () (@var "Xx" $$unsorted)) % 151.32/151.66 (define @t6 () (_ tptp.cPHI_1 @t5)) % 151.32/151.66 (define @t7 () (_ tptp.el1 @t5)) % 151.32/151.66 (define @t8 () (_ @t7 tptp.cSS_PRIME)) % 151.32/151.66 (define @t9 () (and @t8 (= @t6 @t4))) % 151.32/151.66 (define @t10 () (@list @t5)) % 151.32/151.66 (define @t11 () (exists @t10 @t9)) % 151.32/151.66 (define @t12 () (_ tptp.el1 @t4)) % 151.32/151.66 (define @t13 () (_ @t12 tptp.cHH_1)) % 151.32/151.66 (define @t14 () (=> @t13 @t11)) % 151.32/151.66 (define @t15 () (@list @t4)) % 151.32/151.66 (define @t16 () (forall @t15 @t14)) % 151.32/151.66 (define @t17 () (_ tptp.cPHI_2 @t5)) % 151.32/151.66 (define @t18 () (_ tptp.cBIGPHI @t6)) % 151.32/151.66 (define @t19 () (=> @t8 (= @t18 @t17))) % 151.32/151.66 (define @t20 () (forall @t10 @t19)) % 151.32/151.66 (define @t21 () (_ tptp.cBIGPHI @t4)) % 151.32/151.66 (define @t22 () (_ tptp.cBIGHI @t5)) % 151.32/151.66 (define @t23 () (= @t5 @t4)) % 151.32/151.66 (define @t24 () (_ @t7 tptp.cHH_1)) % 151.32/151.66 (define @t25 () (and @t24 @t13 @t23)) % 151.32/151.66 (define @t26 () (=> @t25 (= @t22 @t21))) % 151.32/151.66 (define @t27 () (@list @t5 @t4)) % 151.32/151.66 (define @t28 () (forall @t27 @t26)) % 151.32/151.66 (define @t29 () (_ (_ tptp.el1 @t6) tptp.cHH_1)) % 151.32/151.66 (define @t30 () (forall @t10 (=> @t8 @t29))) % 151.32/151.66 (define @t31 () (_ tptp.cBIGPHI @t5)) % 151.32/151.66 (define @t32 () (_ (_ tptp.el1 @t31) tptp.cHH_2)) % 151.32/151.66 (define @t33 () (forall @t10 (=> @t24 @t32))) % 151.32/151.66 (define @t34 () (_ (_ tptp.el1 @t17) tptp.cHH_2)) % 151.32/151.66 (define @t35 () (forall @t10 (=> @t8 @t34))) % 151.32/151.66 (define @t36 () (_ (_ tptp.cTIMES @t5) @t4)) % 151.32/151.66 (define @t37 () (_ (_ tptp.el1 @t36) tptp.cHH_1)) % 151.32/151.66 (define @t38 () (and @t24 @t13)) % 151.32/151.66 (define @t39 () (forall @t27 (=> @t38 @t37))) % 151.32/151.66 (define @t40 () (_ (_ tptp.cTIMES @t31) @t21)) % 151.32/151.66 (define @t41 () (_ tptp.cBIGPHI @t36)) % 151.32/151.66 (define @t42 () (= @t41 @t40)) % 151.32/151.66 (define @t43 () (forall @t27 (=> @t38 @t42))) % 151.32/151.66 (define @t44 () (= @t1 @t43)) % 151.32/151.66 (define @t45 () (@var "Xphi" (-> $$unsorted $$unsorted))) % 151.32/151.66 (define @t46 () (_ @t45 @t4)) % 151.32/151.66 (define @t47 () (_ @t45 @t5)) % 151.32/151.66 (define @t48 () (_ (_ tptp.cTIMES @t47) @t46)) % 151.32/151.66 (define @t49 () (_ @t45 @t36)) % 151.32/151.66 (define @t50 () (= @t49 @t48)) % 151.32/151.66 (define @t51 () (_ @t12 tptp.cSS_PRIME)) % 151.32/151.66 (define @t52 () (and @t8 @t51)) % 151.32/151.66 (define @t53 () (forall @t27 (=> @t52 @t50))) % 151.32/151.66 (define @t54 () (_ tptp.cHOM_FROM_SS_PRIME @t45)) % 151.32/151.66 (define @t55 () (= @t54 @t53)) % 151.32/151.66 (define @t56 () (@list @t45)) % 151.32/151.66 (define @t57 () (forall @t56 @t55)) % 151.32/151.66 (define @t58 () (@var "Xy2" $$unsorted)) % 151.32/151.66 (define @t59 () (@var "Xx2" $$unsorted)) % 151.32/151.66 (define @t60 () (_ (_ tptp.cTIMES @t59) @t58)) % 151.32/151.66 (define @t61 () (@var "Xy1" $$unsorted)) % 151.32/151.66 (define @t62 () (@var "Xx1" $$unsorted)) % 151.32/151.66 (define @t63 () (_ tptp.cTIMES @t62)) % 151.32/151.66 (define @t64 () (_ @t63 @t61)) % 151.32/151.66 (define @t65 () (= @t64 @t60)) % 151.32/151.66 (define @t66 () (= @t61 @t58)) % 151.32/151.66 (define @t67 () (= @t62 @t59)) % 151.32/151.66 (define @t68 () (_ tptp.el1 @t58)) % 151.32/151.66 (define @t69 () (_ @t68 tptp.cHH_1)) % 151.32/151.66 (define @t70 () (_ tptp.el1 @t61)) % 151.32/151.66 (define @t71 () (_ @t70 tptp.cHH_1)) % 151.32/151.66 (define @t72 () (_ tptp.el1 @t59)) % 151.32/151.66 (define @t73 () (_ @t72 tptp.cHH_1)) % 151.32/151.66 (define @t74 () (_ tptp.el1 @t62)) % 151.32/151.66 (define @t75 () (_ @t74 tptp.cHH_1)) % 151.32/151.66 (define @t76 () (and @t75 @t73 @t71 @t69 @t67 @t66)) % 151.32/151.66 (define @t77 () (@list @t62 @t59 @t61 @t58)) % 151.32/151.66 (define @t78 () (forall @t77 (=> @t76 @t65))) % 151.32/151.66 (define @t79 () (_ @t63 @t59)) % 151.32/151.66 (define @t80 () (_ (_ tptp.el1 @t79) tptp.cSS_PRIME)) % 151.32/151.66 (define @t81 () (_ @t72 tptp.cSS_PRIME)) % 151.32/151.66 (define @t82 () (_ @t74 tptp.cSS_PRIME)) % 151.32/151.66 (define @t83 () (and @t82 @t81)) % 151.32/151.66 (define @t84 () (@list @t62 @t59)) % 151.32/151.66 (define @t85 () (forall @t84 (=> @t83 @t80))) % 151.32/151.66 (define @t86 () (_ @t68 tptp.cHH_2)) % 151.32/151.66 (define @t87 () (_ @t70 tptp.cHH_2)) % 151.32/151.66 (define @t88 () (_ @t72 tptp.cHH_2)) % 151.32/151.66 (define @t89 () (_ @t74 tptp.cHH_2)) % 151.32/151.66 (define @t90 () (and @t89 @t88 @t87 @t86 @t67 @t66)) % 151.32/151.66 (define @t91 () (forall @t77 (=> @t90 @t65))) % 151.32/151.66 (define @t92 () (and @t91 @t85 @t78 @t57 @t44 @t39 @t35 @t33 @t30 @t28 @t20 @t16 @t3 @t2)) % 151.32/151.66 (define @t93 () (=> @t92 @t1)) % 151.32/151.66 (define @t94 () (not @t93)) % 151.32/151.66 (define @t95 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.32/151.66 (define @t96 () (@const 2 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool))) % 151.32/151.66 (define @t97 () (_ @t96 (@const 1 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool))) @t95)) % 151.32/151.66 (define @t98 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.32/151.66 (define @t99 () (@const 4 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)))) % 151.32/151.66 (define @t100 () (_ @t96 @t99 @t98)) % 151.32/151.66 (define @t101 () (@const 5 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.32/151.66 (define @t102 () (_ @t96 @t99 @t101)) % 151.32/151.66 (define @t103 () (@const 6 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 151.32/151.66 (define @t104 () (_ @t103 @t101 @t5)) % 151.32/151.66 (define @t105 () (@const 7 (@ho-elim-sort (-> $$unsorted Bool)))) % 151.32/151.66 (define @t106 () (@const 8 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) Bool)))) % 151.32/151.66 (define @t107 () (@const 9 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) Bool)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) Bool))))) % 151.32/151.66 (define @t108 () (_ @t107 @t106 @t5)) % 151.32/151.66 (define @t109 () (@const 10 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) Bool)) (@ho-elim-sort (-> $$unsorted Bool)) Bool))) % 151.32/151.66 (define @t110 () (not (_ @t109 @t108 @t105))) % 151.32/151.66 (define @t111 () (@const 11 (@ho-elim-sort (-> $$unsorted Bool)))) % 151.32/151.66 (define @t112 () (_ @t107 @t106 @t4)) % 151.32/151.66 (define @t113 () (not (_ @t109 @t112 @t111))) % 151.32/151.66 (define @t114 () (forall @t15 (or @t113 (not (forall @t10 (or @t110 (not (= @t4 @t104)))))))) % 151.32/151.66 (define @t115 () (_ @t103 @t98 @t5)) % 151.32/151.66 (define @t116 () (_ @t103 @t95 @t104)) % 151.32/151.66 (define @t117 () (or @t110 (= @t115 @t116))) % 151.32/151.66 (define @t118 () (forall @t10 @t117)) % 151.32/151.66 (define @t119 () (_ @t103 @t95 @t4)) % 151.32/151.66 (define @t120 () (_ @t103 (@const 12 (@ho-elim-sort (-> $$unsorted $$unsorted))) @t4)) % 151.32/151.66 (define @t121 () (or @t113 (= @t119 @t120))) % 151.32/151.66 (define @t122 () (forall @t15 @t121)) % 151.32/151.66 (define @t123 () (forall @t10 (or @t110 (_ @t109 (_ @t107 @t106 @t104) @t111)))) % 151.32/151.66 (define @t124 () (@const 13 (@ho-elim-sort (-> $$unsorted Bool)))) % 151.32/151.66 (define @t125 () (_ @t103 @t95 @t5)) % 151.32/151.66 (define @t126 () (not (_ @t109 @t108 @t111))) % 151.32/151.66 (define @t127 () (forall @t10 (or @t126 (_ @t109 (_ @t107 @t106 @t125) @t124)))) % 151.32/151.66 (define @t128 () (forall @t10 (or @t110 (_ @t109 (_ @t107 @t106 @t115) @t124)))) % 151.32/151.66 (define @t129 () (@const 14 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)))) % 151.32/151.66 (define @t130 () (@const 15 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted))))) % 151.32/151.66 (define @t131 () (_ @t103 (_ @t130 @t129 @t5) @t4)) % 151.32/151.66 (define @t132 () (forall @t27 (or @t126 @t113 (_ @t109 (_ @t107 @t106 @t131) @t111)))) % 151.32/151.66 (define @t133 () (_ @t103 @t95 @t131)) % 151.32/151.66 (define @t134 () (_ @t103 (_ @t130 @t129 @t125) @t119)) % 151.32/151.66 (define @t135 () (or @t126 @t113 (= @t133 @t134))) % 151.32/151.66 (define @t136 () (forall @t27 @t135)) % 151.32/151.66 (define @t137 () (= @t97 @t136)) % 151.32/151.66 (define @t138 () (@var "BOUND_VARIABLE_7861" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 151.32/151.66 (define @t139 () (_ @t103 @t138 @t131)) % 151.32/151.66 (define @t140 () (_ @t103 (_ @t130 @t129 (_ @t103 @t138 @t5)) (_ @t103 @t138 @t4))) % 151.32/151.66 (define @t141 () (not (_ @t109 @t112 @t105))) % 151.32/151.66 (define @t142 () (or @t110 @t141 (= @t139 @t140))) % 151.32/151.66 (define @t143 () (forall @t27 @t142)) % 151.32/151.66 (define @t144 () (_ @t96 @t99 @t138)) % 151.32/151.66 (define @t145 () (forall (@list @t138) (= @t143 @t144))) % 151.32/151.66 (define @t146 () (forall @t84 (or (not (_ @t109 (_ @t107 @t106 @t62) @t105)) (not (_ @t109 (_ @t107 @t106 @t59) @t105)) (_ @t109 (_ @t107 @t106 (_ @t103 (_ @t130 @t129 @t62) @t59)) @t105)))) % 151.32/151.66 (define @t147 () (and @t146 @t145 @t137 @t132 @t128 @t127 @t123 @t122 @t118 @t114 @t102 @t100)) % 151.32/151.66 (define @t148 () (=> @t147 @t97)) % 151.32/151.66 (define @t149 () (not @t148)) % 151.32/151.66 (define @t150 () (tptp.cPHI_1 @t5)) % 151.32/151.66 (define @t151 () (tptp.el1 @t5 tptp.cSS_PRIME)) % 151.32/151.66 (define @t152 () (not @t151)) % 151.32/151.66 (define @t153 () (not (forall @t10 (or @t152 (not (= @t4 @t150)))))) % 151.32/151.66 (define @t154 () (tptp.el1 @t4 tptp.cHH_1)) % 151.32/151.66 (define @t155 () (not @t154)) % 151.32/151.66 (define @t156 () (forall @t15 (or @t155 @t153))) % 151.32/151.66 (define @t157 () (tptp.cBIGPHI @t150)) % 151.32/151.66 (define @t158 () (tptp.cPHI_2 @t5)) % 151.32/151.66 (define @t159 () (forall @t10 (or @t152 (= @t158 @t157)))) % 151.32/151.66 (define @t160 () (tptp.cBIGPHI @t4)) % 151.32/151.66 (define @t161 () (= @t160 (tptp.cBIGHI @t4))) % 151.32/151.66 (define @t162 () (or @t155 @t161)) % 151.32/151.66 (define @t163 () (forall @t15 @t162)) % 151.32/151.66 (define @t164 () (tptp.el1 @t150 tptp.cHH_1)) % 151.32/151.66 (define @t165 () (forall @t10 (or @t152 @t164))) % 151.32/151.66 (define @t166 () (tptp.cBIGPHI @t5)) % 151.32/151.66 (define @t167 () (tptp.el1 @t166 tptp.cHH_2)) % 151.32/151.66 (define @t168 () (tptp.el1 @t5 tptp.cHH_1)) % 151.32/151.66 (define @t169 () (not @t168)) % 151.32/151.66 (define @t170 () (forall @t10 (or @t169 @t167))) % 151.32/151.66 (define @t171 () (tptp.el1 @t158 tptp.cHH_2)) % 151.32/151.66 (define @t172 () (forall @t10 (or @t152 @t171))) % 151.32/151.66 (define @t173 () (tptp.cTIMES @t5 @t4)) % 151.32/151.66 (define @t174 () (tptp.el1 @t173 tptp.cHH_1)) % 151.32/151.66 (define @t175 () (forall @t27 (or @t169 @t155 @t174))) % 151.32/151.66 (define @t176 () (tptp.cTIMES @t166 @t160)) % 151.32/151.66 (define @t177 () (tptp.cBIGPHI @t173)) % 151.32/151.66 (define @t178 () (= @t1 (forall @t27 (or @t169 @t155 (= @t177 @t176))))) % 151.32/151.66 (define @t179 () (tptp.cHOM_FROM_SS_PRIME @t45)) % 151.32/151.66 (define @t180 () (_ @t45 @t4)) % 151.32/151.66 (define @t181 () (_ @t45 @t5)) % 151.32/151.66 (define @t182 () (tptp.cTIMES @t181 @t180)) % 151.32/151.66 (define @t183 () (_ @t45 @t173)) % 151.32/151.66 (define @t184 () (tptp.el1 @t4 tptp.cSS_PRIME)) % 151.32/151.66 (define @t185 () (forall @t27 (or @t152 (not @t184) (= @t183 @t182)))) % 151.32/151.66 (define @t186 () (forall @t56 (= @t185 @t179))) % 151.32/151.66 (define @t187 () (tptp.cTIMES @t62 @t59)) % 151.32/151.66 (define @t188 () (tptp.el1 @t187 tptp.cSS_PRIME)) % 151.32/151.66 (define @t189 () (tptp.el1 @t59 tptp.cSS_PRIME)) % 151.32/151.66 (define @t190 () (tptp.el1 @t62 tptp.cSS_PRIME)) % 151.32/151.66 (define @t191 () (forall @t84 (or (not @t190) (not @t189) @t188))) % 151.32/151.66 (define @t192 () (and @t191 @t186 @t178 @t175 @t172 @t170 @t165 @t163 @t159 @t156 @t3 @t2)) % 151.32/151.66 (define @t193 () (not @t13)) % 151.32/151.66 (define @t194 () (or @t193 @t153)) % 151.32/151.66 (define @t195 () (= @t4 @t6)) % 151.32/151.66 (define @t196 () (not @t195)) % 151.32/151.66 (define @t197 () (not @t8)) % 151.32/151.66 (define @t198 () (or @t197 @t196)) % 151.32/151.66 (define @t199 () (and @t8 @t195)) % 151.32/151.66 (define @t200 () (forall @t10 (not @t199))) % 151.32/151.66 (define @t201 () (not @t200)) % 151.32/151.66 (define @t202 () (= @t17 @t18)) % 151.32/151.66 (define @t203 () (or @t197 @t202)) % 151.32/151.66 (define @t204 () (not (= @t4 @t4))) % 151.32/151.66 (define @t205 () (or @t155 @t155 @t204 @t161)) % 151.32/151.66 (define @t206 () (tptp.cBIGHI @t5)) % 151.32/151.66 (define @t207 () (= @t160 @t206)) % 151.32/151.66 (define @t208 () (not @t23)) % 151.32/151.66 (define @t209 () (or @t208 @t169 @t155 @t208 @t207)) % 151.32/151.66 (define @t210 () (or @t169 @t155 @t208 @t207)) % 151.32/151.66 (define @t211 () (forall @t10 @t210)) % 151.32/151.66 (define @t212 () (forall @t15 @t211)) % 151.32/151.66 (define @t213 () (forall (@list @t4 @t5) @t210)) % 151.32/151.66 (define @t214 () (= @t21 @t22)) % 151.32/151.66 (define @t215 () (not @t24)) % 151.32/151.66 (define @t216 () (or @t215 @t193 @t208 @t214)) % 151.32/151.66 (define @t217 () (or @t215 @t193 @t208)) % 151.32/151.66 (define @t218 () (or @t197 @t29)) % 151.32/151.66 (define @t219 () (or @t215 @t32)) % 151.32/151.66 (define @t220 () (or @t197 @t34)) % 151.32/151.66 (define @t221 () (or @t215 @t193 @t37)) % 151.32/151.66 (define @t222 () (or @t215 @t193)) % 151.32/151.66 (define @t223 () (not @t38)) % 151.32/151.66 (define @t224 () (or @t215 @t193 @t42)) % 151.32/151.66 (define @t225 () (= @t54 @t185)) % 151.32/151.66 (define @t226 () (not @t51)) % 151.32/151.66 (define @t227 () (or @t197 @t226 @t50)) % 151.32/151.66 (define @t228 () (@list @t59 @t58)) % 151.32/151.66 (define @t229 () (tptp.el1 @t58 tptp.cHH_1)) % 151.32/151.66 (define @t230 () (not @t229)) % 151.32/151.66 (define @t231 () (tptp.el1 @t59 tptp.cHH_1)) % 151.32/151.66 (define @t232 () (not @t231)) % 151.32/151.66 (define @t233 () (tptp.cTIMES @t59 @t58)) % 151.32/151.66 (define @t234 () (not (= @t58 @t58))) % 151.32/151.66 (define @t235 () (= @t233 @t233)) % 151.32/151.66 (define @t236 () (or @t232 @t230 @t230 @t234 @t235)) % 151.32/151.66 (define @t237 () (tptp.cTIMES @t59 @t61)) % 151.32/151.66 (define @t238 () (= @t233 @t237)) % 151.32/151.66 (define @t239 () (not @t66)) % 151.32/151.66 (define @t240 () (tptp.el1 @t61 tptp.cHH_1)) % 151.32/151.66 (define @t241 () (not @t240)) % 151.32/151.66 (define @t242 () (or @t239 @t232 @t241 @t230 @t239 @t238)) % 151.32/151.66 (define @t243 () (@list @t61)) % 151.32/151.66 (define @t244 () (or @t232 @t241 @t230 @t239 @t238)) % 151.32/151.66 (define @t245 () (forall @t243 @t244)) % 151.32/151.66 (define @t246 () (forall @t228 @t245)) % 151.32/151.66 (define @t247 () (@list @t59 @t58 @t61)) % 151.32/151.66 (define @t248 () (forall @t247 @t244)) % 151.32/151.66 (define @t249 () (@list @t59 @t61 @t58)) % 151.32/151.66 (define @t250 () (not (= @t59 @t59))) % 151.32/151.66 (define @t251 () (= @t237 @t233)) % 151.32/151.66 (define @t252 () (or @t232 @t232 @t241 @t230 @t250 @t239 @t251)) % 151.32/151.66 (define @t253 () (tptp.cTIMES @t62 @t61)) % 151.32/151.66 (define @t254 () (= @t253 @t233)) % 151.32/151.66 (define @t255 () (not @t67)) % 151.32/151.66 (define @t256 () (tptp.el1 @t62 tptp.cHH_1)) % 151.32/151.66 (define @t257 () (not @t256)) % 151.32/151.66 (define @t258 () (or @t255 @t257 @t232 @t241 @t230 @t255 @t239 @t254)) % 151.32/151.66 (define @t259 () (@list @t62)) % 151.32/151.66 (define @t260 () (or @t257 @t232 @t241 @t230 @t255 @t239 @t254)) % 151.32/151.66 (define @t261 () (forall @t259 @t260)) % 151.32/151.66 (define @t262 () (forall @t249 @t261)) % 151.32/151.66 (define @t263 () (@list @t59 @t61 @t58 @t62)) % 151.32/151.66 (define @t264 () (forall @t263 @t260)) % 151.32/151.66 (define @t265 () (not @t69)) % 151.32/151.66 (define @t266 () (not @t71)) % 151.32/151.66 (define @t267 () (not @t73)) % 151.32/151.66 (define @t268 () (not @t75)) % 151.32/151.66 (define @t269 () (or @t268 @t267 @t266 @t265 @t255 @t239 @t65)) % 151.32/151.66 (define @t270 () (or @t268 @t267 @t266 @t265 @t255 @t239)) % 151.32/151.66 (define @t271 () (or @t255 @t239)) % 151.32/151.66 (define @t272 () (not (and @t67 @t66))) % 151.32/151.66 (define @t273 () (not @t81)) % 151.32/151.66 (define @t274 () (not @t82)) % 151.32/151.66 (define @t275 () (or @t274 @t273 @t80)) % 151.32/151.66 (define @t276 () (tptp.el1 @t58 tptp.cHH_2)) % 151.32/151.66 (define @t277 () (not @t276)) % 151.32/151.66 (define @t278 () (tptp.el1 @t59 tptp.cHH_2)) % 151.32/151.66 (define @t279 () (not @t278)) % 151.32/151.66 (define @t280 () (or @t279 @t277 @t277 @t234 @t235)) % 151.32/151.66 (define @t281 () (tptp.el1 @t61 tptp.cHH_2)) % 151.32/151.66 (define @t282 () (not @t281)) % 151.32/151.66 (define @t283 () (or @t239 @t279 @t282 @t277 @t239 @t238)) % 151.32/151.66 (define @t284 () (or @t279 @t282 @t277 @t239 @t238)) % 151.32/151.66 (define @t285 () (forall @t243 @t284)) % 151.32/151.66 (define @t286 () (forall @t228 @t285)) % 151.32/151.66 (define @t287 () (forall @t247 @t284)) % 151.32/151.66 (define @t288 () (or @t279 @t279 @t282 @t277 @t250 @t239 @t251)) % 151.32/151.66 (define @t289 () (tptp.el1 @t62 tptp.cHH_2)) % 151.32/151.66 (define @t290 () (not @t289)) % 151.32/151.66 (define @t291 () (or @t255 @t290 @t279 @t282 @t277 @t255 @t239 @t254)) % 151.32/151.66 (define @t292 () (or @t290 @t279 @t282 @t277 @t255 @t239 @t254)) % 151.32/151.66 (define @t293 () (forall @t259 @t292)) % 151.32/151.66 (define @t294 () (forall @t249 @t293)) % 151.32/151.66 (define @t295 () (forall @t263 @t292)) % 151.32/151.66 (define @t296 () (not @t86)) % 151.32/151.66 (define @t297 () (not @t87)) % 151.32/151.66 (define @t298 () (not @t88)) % 151.32/151.66 (define @t299 () (not @t89)) % 151.32/151.66 (define @t300 () (or @t299 @t298 @t297 @t296 @t255 @t239 @t65)) % 151.32/151.66 (define @t301 () (or @t299 @t298 @t297 @t296 @t255 @t239)) % 151.32/151.66 (define @t302 () (forall @t27 (or @t126 @t113 (= @t134 @t133)))) % 151.32/151.66 (define @t303 () (@list true)) % 151.32/151.66 (define @t304 () (@quantifiers_skolemize @t302 1)) % 151.32/151.66 (define @t305 () (@quantifiers_skolemize @t302 0)) % 151.32/151.66 (define @t306 () (_ @t103 @t95 @t304)) % 151.32/151.66 (define @t307 () (_ @t103 @t95 @t305)) % 151.32/151.66 (define @t308 () (_ @t130 @t129 @t307)) % 151.32/151.66 (define @t309 () (_ @t103 @t308 @t306)) % 151.32/151.66 (define @t310 () (= @t309 (_ @t103 @t95 (_ @t103 (_ @t130 @t129 @t305) @t304)))) % 151.32/151.66 (define @t311 () (_ @t109 (_ @t107 @t106 @t304) @t111)) % 151.32/151.66 (define @t312 () (not @t311)) % 151.32/151.66 (define @t313 () (_ @t109 (_ @t107 @t106 @t305) @t111)) % 151.32/151.66 (define @t314 () (not @t313)) % 151.32/151.66 (define @t315 () (or @t314 @t312 @t310)) % 151.32/151.66 (define @t316 () (@list @t315)) % 151.32/151.66 (define @t317 () (not (= @t305 @t104))) % 151.32/151.66 (define @t318 () (or @t110 @t317)) % 151.32/151.66 (define @t319 () (forall @t10 @t318)) % 151.32/151.66 (define @t320 () (not @t319)) % 151.32/151.66 (define @t321 () (or @t314 @t320)) % 151.32/151.66 (define @t322 () (forall @t10 (or @t110 (not (= @t104 @t305))))) % 151.32/151.66 (define @t323 () (not @t322)) % 151.32/151.66 (define @t324 () (or @t314 @t323)) % 151.32/151.66 (define @t325 () (@list false)) % 151.32/151.66 (define @t326 () (@list @t114)) % 151.32/151.66 (define @t327 () (@list false false)) % 151.32/151.66 (define @t328 () (@quantifiers_skolemize @t322 0)) % 151.32/151.66 (define @t329 () (_ @t103 @t101 @t328)) % 151.32/151.66 (define @t330 () (= @t305 @t329)) % 151.32/151.66 (define @t331 () (not @t330)) % 151.32/151.66 (define @t332 () (_ @t109 (_ @t107 @t106 @t328) @t105)) % 151.32/151.66 (define @t333 () (not @t332)) % 151.32/151.66 (define @t334 () (or @t333 @t331)) % 151.32/151.66 (define @t335 () (not @t334)) % 151.32/151.66 (define @t336 () (not (= @t329 @t305))) % 151.32/151.66 (define @t337 () (or @t333 @t336)) % 151.32/151.66 (define @t338 () (not @t337)) % 151.32/151.66 (define @t339 () (@list @t334)) % 151.32/151.66 (define @t340 () (not (= @t304 @t104))) % 151.32/151.66 (define @t341 () (or @t110 @t340)) % 151.32/151.66 (define @t342 () (forall @t10 @t341)) % 151.32/151.66 (define @t343 () (not @t342)) % 151.32/151.66 (define @t344 () (or @t312 @t343)) % 151.32/151.66 (define @t345 () (forall @t10 (or @t110 (not (= @t104 @t304))))) % 151.32/151.66 (define @t346 () (not @t345)) % 151.32/151.66 (define @t347 () (or @t312 @t346)) % 151.32/151.66 (define @t348 () (@quantifiers_skolemize @t345 0)) % 151.32/151.66 (define @t349 () (_ @t103 @t101 @t348)) % 151.32/151.66 (define @t350 () (= @t304 @t349)) % 151.32/151.66 (define @t351 () (not @t350)) % 151.32/151.66 (define @t352 () (_ @t109 (_ @t107 @t106 @t348) @t105)) % 151.32/151.66 (define @t353 () (not @t352)) % 151.32/151.66 (define @t354 () (or @t353 @t351)) % 151.32/151.66 (define @t355 () (not @t354)) % 151.32/151.66 (define @t356 () (not (= @t349 @t304))) % 151.32/151.66 (define @t357 () (or @t353 @t356)) % 151.32/151.66 (define @t358 () (not @t357)) % 151.32/151.66 (define @t359 () (@list @t354)) % 151.32/151.66 (define @t360 () (_ @t103 @t95 @t329)) % 151.32/151.66 (define @t361 () (_ @t103 @t98 @t328)) % 151.32/151.66 (define @t362 () (or @t333 (= @t360 @t361))) % 151.32/151.66 (define @t363 () (forall @t10 (or @t110 (= @t116 @t115)))) % 151.32/151.66 (define @t364 () (= @t361 @t360)) % 151.32/151.66 (define @t365 () (or @t333 @t364)) % 151.32/151.66 (define @t366 () (@list @t363)) % 151.32/151.66 (define @t367 () (_ @t103 @t95 @t349)) % 151.32/151.66 (define @t368 () (_ @t103 @t98 @t348)) % 151.32/151.66 (define @t369 () (or @t353 (= @t367 @t368))) % 151.32/151.66 (define @t370 () (= @t368 @t367)) % 151.32/151.66 (define @t371 () (or @t353 @t370)) % 151.32/151.66 (define @t372 () (forall @t27 (or @t110 @t141 (= (_ @t103 (_ @t130 @t129 @t104) (_ @t103 @t101 @t4)) (_ @t103 @t101 @t131))))) % 151.32/151.66 (define @t373 () (= @t102 @t372)) % 151.32/151.66 (define @t374 () (@list @t328 @t348)) % 151.32/151.66 (define @t375 () (_ @t103 (_ @t130 @t129 @t328) @t348)) % 151.32/151.66 (define @t376 () (_ @t103 @t101 @t375)) % 151.32/151.66 (define @t377 () (_ @t130 @t129 @t329)) % 151.32/151.66 (define @t378 () (_ @t103 @t377 @t349)) % 151.32/151.66 (define @t379 () (= @t378 @t376)) % 151.32/151.66 (define @t380 () (or @t333 @t353 @t379)) % 151.32/151.66 (define @t381 () (@list false false false)) % 151.32/151.66 (define @t382 () (forall @t27 (or @t110 @t141 (= (_ @t103 (_ @t130 @t129 @t115) (_ @t103 @t98 @t4)) (_ @t103 @t98 @t131))))) % 151.32/151.66 (define @t383 () (= @t100 @t382)) % 151.32/151.66 (define @t384 () (_ @t103 (_ @t130 @t129 @t361) @t368)) % 151.32/151.66 (define @t385 () (_ @t103 @t98 @t375)) % 151.32/151.66 (define @t386 () (or @t333 @t353 (= @t384 @t385))) % 151.32/151.66 (define @t387 () (= @t385 @t384)) % 151.32/151.66 (define @t388 () (or @t333 @t353 @t387)) % 151.32/151.66 (define @t389 () (_ @t109 (_ @t107 @t106 @t375) @t105)) % 151.32/151.66 (define @t390 () (or @t333 @t353 @t389)) % 151.32/151.66 (define @t391 () (_ @t103 @t95 @t376)) % 151.32/151.66 (define @t392 () (= @t391 @t385)) % 151.32/151.66 (define @t393 () (not @t389)) % 151.32/151.66 (define @t394 () (or @t393 @t392)) % 151.32/151.66 (define @t395 () (and @t330 @t350 @t364 @t370 @t379 @t392 @t387)) % 151.32/151.66 (assume @p1 @t94) % 151.32/151.66 (assume @p2 true) % 151.32/151.66 (step @p3 :rule refl :args (@t97)) % 151.32/151.66 (step @p4 :rule refl :args (@t100)) % 151.32/151.66 (step @p5 :rule refl :args (@t102)) % 151.32/151.66 (step @p6 :rule refl :args (@t114)) % 151.32/151.66 (step @p7 :rule eq-symm :args (@t115 @t116)) % 151.32/151.66 (step @p8 :rule refl :args (@t110)) % 151.32/151.66 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t117)) % 151.32/151.66 (step @p10 :rule cong :premises (@p9) :args (@t118)) % 151.32/151.66 (step @p11 :rule eq-symm :args (@t119 @t120)) % 151.32/151.66 (step @p12 :rule refl :args (@t113)) % 151.32/151.66 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t121)) % 151.32/151.66 (step @p14 :rule cong :premises (@p13) :args (@t122)) % 151.32/151.66 (step @p15 :rule refl :args (@t123)) % 151.32/151.66 (step @p16 :rule refl :args (@t127)) % 151.32/151.66 (step @p17 :rule refl :args (@t128)) % 151.32/151.66 (step @p18 :rule refl :args (@t132)) % 151.32/151.66 (step @p19 :rule eq-symm :args (@t133 @t134)) % 151.32/151.66 (step @p20 :rule refl :args (@t126)) % 151.32/151.66 (step @p21 :rule nary_cong :premises (@p20 @p12 @p19) :args (@t135)) % 151.32/151.66 (step @p22 :rule cong :premises (@p21) :args (@t136)) % 151.32/151.66 (step @p23 :rule cong :premises (@p3 @p22) :args (@t137)) % 151.32/151.66 (step @p24 :rule eq-symm :args (@t139 @t140)) % 151.32/151.66 (step @p25 :rule refl :args (@t141)) % 151.32/151.66 (step @p26 :rule nary_cong :premises (@p8 @p25 @p24) :args (@t142)) % 151.32/151.66 (step @p27 :rule cong :premises (@p26) :args (@t143)) % 151.32/151.66 (step @p28 :rule refl :args (@t144)) % 151.32/151.66 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t144 @t143))) % 151.32/151.66 (step @p30 :rule eq-symm :args (@t143 @t144)) % 151.32/151.66 (step @p31 :rule trans :premises (@p30 @p29)) % 151.32/151.66 (step @p32 :rule cong :premises (@p31) :args (@t145)) % 151.32/151.66 (step @p33 :rule refl :args (@t146)) % 151.32/151.66 (step @p34 :rule nary_cong :premises (@p33 @p32 @p23 @p18 @p17 @p16 @p15 @p14 @p10 @p6 @p5 @p4) :args (@t147)) % 151.32/151.66 (step @p35 :rule cong :premises (@p34 @p3) :args (@t148)) % 151.32/151.66 (step @p36 :rule cong :premises (@p35) :args (@t149)) % 151.32/151.66 ; WARNING: add trust step for TRUST % 151.32/151.66 ; trust TRUST PREPROCESS_HO_ELIM % 151.32/151.66 (step @p37 :rule trust :premises () :args ((= (not (=> @t192 @t1)) @t149))) % 151.32/151.66 (step @p38 :rule refl :args (@t1)) % 151.32/151.66 (step @p39 :rule aci_norm :args ((= (and true @t191 true @t186 @t178 @t175 @t172 @t170 @t165 @t163 @t159 @t156 @t3 @t2) @t192))) % 151.32/151.66 (step @p40 :rule refl :args (@t2)) % 151.32/151.66 (step @p41 :rule refl :args (@t3)) % 151.32/151.66 (step @p42 :rule refl :args (@t153)) % 151.32/151.66 (step @p43 :rule refl :args (@t154)) % 151.32/151.66 (step @p44 :rule refl :args (@t13)) % 151.32/151.66 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t13 @t154))) % 151.32/151.66 (step @p46 :rule symm :premises (@p45)) % 151.32/151.66 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 151.32/151.66 (step @p48 :rule cong :premises (@p47) :args (@t193)) % 151.32/151.66 (step @p49 :rule nary_cong :premises (@p48 @p42) :args (@t194)) % 151.32/151.66 (step @p50 :rule cong :premises (@p49) :args ((forall @t15 @t194))) % 151.32/151.66 (step @p51 :rule bool-impl-elim :args (@t13 @t153)) % 151.32/151.66 (step @p52 :rule cong :premises (@p51) :args ((forall @t15 (=> @t13 @t153)))) % 151.32/151.66 (step @p53 :rule trans :premises (@p52 @p50)) % 151.32/151.66 (step @p54 :rule refl :args (@t150)) % 151.32/151.66 (step @p55 :rule refl :args (@t6)) % 151.32/151.66 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t6 @t150))) % 151.32/151.66 (step @p57 :rule symm :premises (@p56)) % 151.32/151.66 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 151.32/151.66 (step @p59 :rule refl :args (@t4)) % 151.32/151.66 (step @p60 :rule cong :premises (@p59 @p58) :args (@t195)) % 151.32/151.66 (step @p61 :rule cong :premises (@p60) :args (@t196)) % 151.32/151.66 (step @p62 :rule refl :args (@t151)) % 151.32/151.66 (step @p63 :rule refl :args (@t8)) % 151.32/151.66 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t8 @t151))) % 151.32/151.66 (step @p65 :rule symm :premises (@p64)) % 151.32/151.66 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 151.32/151.66 (step @p67 :rule cong :premises (@p66) :args (@t197)) % 151.32/151.66 (step @p68 :rule nary_cong :premises (@p67 @p61) :args (@t198)) % 151.32/151.66 (step @p69 :rule cong :premises (@p68) :args ((forall @t10 @t198))) % 151.32/151.66 (step @p70 :rule bool-and-de-morgan :args (@t8 @t195 true)) % 151.32/151.66 (step @p71 :rule cong :premises (@p70) :args (@t200)) % 151.32/151.66 (step @p72 :rule trans :premises (@p71 @p69)) % 151.32/151.66 (step @p73 :rule cong :premises (@p72) :args (@t201)) % 151.32/151.66 (step @p74 :rule exists-elim :args ((= (exists @t10 @t199) @t201))) % 151.32/151.66 (step @p75 :rule trans :premises (@p74 @p73)) % 151.32/151.66 (step @p76 :rule eq-symm :args (@t6 @t4)) % 151.32/151.66 (step @p77 :rule refl :args (@t8)) % 151.32/151.66 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t9)) % 151.32/151.66 (step @p79 :rule cong :premises (@p78) :args (@t11)) % 151.32/151.66 (step @p80 :rule trans :premises (@p79 @p75)) % 151.32/151.66 (step @p81 :rule refl :args (@t13)) % 151.32/151.66 (step @p82 :rule cong :premises (@p81 @p80) :args (@t14)) % 151.32/151.66 (step @p83 :rule cong :premises (@p82) :args (@t16)) % 151.32/151.66 (step @p84 :rule trans :premises (@p83 @p53)) % 151.32/151.66 (step @p85 :rule refl :args ((tptp.cBIGPHI @t6))) % 151.32/151.66 (step @p86 :rule cong :premises (@p54) :args (@t157)) % 151.32/151.66 (step @p87 :rule trans :premises (@p86 @p85)) % 151.32/151.66 (step @p88 :rule refl :args (tptp.cBIGPHI)) % 151.32/151.66 (step @p89 :rule ho_cong :premises (@p88 @p54)) % 151.32/151.66 (step @p90 :rule cong :premises (@p89 @p87) :args ((= (_ tptp.cBIGPHI @t150) @t157))) % 151.32/151.66 (step @p91 :rule symm :premises (@p90)) % 151.32/151.66 (step @p92 :rule refl :args (@t18)) % 151.32/151.66 (step @p93 :rule eq_resolve :premises (@p92 @p91)) % 151.32/151.66 (step @p94 :rule ho_cong :premises (@p88 @p58)) % 151.32/151.66 (step @p95 :rule trans :premises (@p94 @p93)) % 151.32/151.66 (step @p96 :rule refl :args (@t158)) % 151.32/151.66 (step @p97 :rule refl :args (@t17)) % 151.32/151.66 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t17 @t158))) % 151.32/151.66 (step @p99 :rule symm :premises (@p98)) % 151.32/151.66 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 151.32/151.66 (step @p101 :rule cong :premises (@p100 @p95) :args (@t202)) 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:premises (@p839) :args (@t386)) % 151.32/151.66 (step @p771 :rule eq_resolve :premises (@p769 @p766)) % 151.32/151.66 (step @p772 :rule implies_elim :premises (@p771)) % 151.32/151.66 (step @p773 :rule chain_m_resolution :premises (@p772 @p762) :args (@t388 @t325 (@list @t382))) % 151.32/151.66 (step @p774 :rule cnf_or_pos :args (@t388)) % 151.32/151.66 (step @p775 :rule reordering :premises (@p774) :args ((or @t333 @t353 @t387 (not @t388)))) % 151.32/151.66 (step @p776 :rule chain_m_resolution :premises (@p775 @p725 @p744 @p773) :args (@t387 @t381 (@list @t332 @t352 @t388))) % 151.32/151.66 (step @p777 :rule instantiate :premises (@p708) :args ((@list @t375))) % 151.32/151.66 (step @p778 :rule and_elim :premises (@p601) :args (0)) % 151.32/151.66 (step @p779 :rule instantiate :premises (@p778) :args (@t374)) % 151.32/151.66 (step @p780 :rule cnf_or_pos :args (@t390)) % 151.32/151.66 (step @p781 :rule reordering :premises (@p780) :args ((or @t333 @t353 @t389 (not @t390)))) % 151.32/151.66 (step @p782 :rule chain_m_resolution :premises (@p781 @p725 @p744 @p779) :args (@t389 @t381 (@list @t332 @t352 @t390))) % 151.32/151.66 (step @p783 :rule cnf_or_pos :args (@t394)) % 151.32/151.66 (step @p784 :rule reordering :premises (@p783) :args ((or @t393 @t392 (not @t394)))) % 151.32/151.66 (step @p785 :rule chain_m_resolution :premises (@p784 @p782 @p777) :args (@t392 @t327 (@list @t389 @t394))) % 151.32/151.66 (assume-push @p840 @t330) % 151.32/151.66 (assume-push @p841 @t350) % 151.32/151.66 (assume-push @p842 @t364) % 151.32/151.66 (assume-push @p843 @t370) % 151.32/151.66 (assume-push @p844 @t379) % 151.32/151.66 (assume-push @p845 @t392) % 151.32/151.66 (assume-push @p846 @t387) % 151.32/151.66 (step @p793 :rule symm :premises (@p707)) % 151.32/151.66 (step @p794 :rule symm :premises (@p658)) % 151.32/151.66 (step @p795 :rule refl :args (@t129)) % 151.32/151.66 (step @p796 :rule cong :premises (@p795 @p794) :args (@t377)) % 151.32/151.66 (step @p797 :rule cong :premises (@p796 @p793) :args (@t378)) % 151.32/151.66 (step @p798 :rule symm :premises (@p757)) % 151.32/151.66 (step @p799 :rule trans :premises (@p798 @p797)) % 151.32/151.66 (step @p800 :rule refl :args (@t95)) % 151.32/151.66 (step @p801 :rule cong :premises (@p800 @p799) :args (@t391)) % 151.32/151.66 (step @p802 :rule symm :premises (@p785)) % 151.32/151.66 (step @p803 :rule symm :premises (@p776)) % 151.32/151.66 (step @p804 :rule symm :premises (@p747)) % 151.32/151.66 (step @p805 :rule cong :premises (@p800 @p707) :args (@t306)) % 151.32/151.66 (step @p806 :rule trans :premises (@p805 @p804)) % 151.32/151.66 (step @p807 :rule symm :premises (@p728)) % 151.32/151.66 (step @p808 :rule cong :premises (@p800 @p658) :args (@t307)) % 151.32/151.66 (step @p809 :rule trans :premises (@p808 @p807)) % 151.32/151.66 (step @p810 :rule cong :premises (@p795 @p809) :args (@t308)) % 151.32/151.66 (step @p811 :rule cong :premises (@p810 @p806) :args (@t309)) % 151.32/151.66 (step @p812 :rule trans :premises (@p811 @p803 @p802 @p801)) % 151.32/151.66 (step-pop @p847 :rule scope :premises (@p812)) % 151.32/151.66 (step-pop @p848 :rule scope :premises (@p847)) % 151.32/151.66 (step-pop @p849 :rule scope :premises (@p848)) % 151.32/151.66 (step-pop @p850 :rule scope :premises (@p849)) % 151.32/151.66 (step-pop @p851 :rule scope :premises (@p850)) % 151.32/151.66 (step-pop @p852 :rule scope :premises (@p851)) % 151.32/151.66 (step-pop @p853 :rule scope :premises (@p852)) % 151.32/151.66 (step @p813 :rule process_scope :premises (@p853) :args (@t310)) % 151.32/151.66 (step @p821 :rule implies_elim :premises (@p813)) % 151.32/151.66 (step @p822 :rule cnf_and_neg :args (@t395)) % 151.32/151.66 (step @p823 :rule resolution :premises (@p822 @p821) :args (true @t395)) % 151.32/151.66 (step @p824 :rule reordering :premises (@p823) :args ((or @t310 @t331 @t351 (not @t364) (not @t370) (not @t379) (not @t392) (not @t387)))) % 151.32/151.66 (step @p825 false :rule chain_m_resolution :premises (@p824 @p785 @p776 @p757 @p747 @p728 @p707 @p658 @p607) :args (false (@list false false false false false false false true) (@list @t392 @t387 @t379 @t370 @t364 @t350 @t330 @t310))) % 151.32/151.66 ) % 151.32/151.66 % SZS output end Proof % 151.32/151.66 % cvc5 exiting %------------------------------------------------------------------------------