%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL095-1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:09:58 AM UTC 2026 % Result : Unsatisfiable 66.13s 66.39s % Output : Proof 66.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL095-1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 : Mon Jun 1 20:23:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.54/15.70 --- Run --no-e-matching --full-saturate-quant at 6... % 21.54/21.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 21.60/27.81 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.64/33.84 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.72/64.01 --- Run --trigger-sel=max --full-saturate-quant at 15... % 66.13/66.39 % SZS status Unsatisfiable % 66.13/66.39 % SZS output start Proof % 66.23/66.40 ( % 66.23/66.40 (declare-sort $$unsorted 0) % 66.23/66.40 (declare-const tptp.q $$unsorted) % 66.23/66.40 (declare-const tptp.p $$unsorted) % 66.23/66.40 (declare-const tptp.inl (-> $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.eptset $$unsorted) % 66.23/66.40 (declare-const tptp.ap_contractE_sk1q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.ap_contractE_c3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 66.23/66.40 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.contract $$unsorted) % 66.23/66.40 (declare-const tptp.ap_parcontractE_sk2q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.ap_contractE_c1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 66.23/66.40 (declare-const tptp.ap_parcontractE_sk2s (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.ap_contractE_sk3q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.ap_contractE_c2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 66.23/66.40 (declare-const tptp.inr (-> $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.comb $$unsorted) % 66.23/66.40 (declare-const tptp.combK $$unsorted) % 66.23/66.40 (declare-const tptp.ap_parcontractE_c3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 66.23/66.40 (declare-const tptp.ap_parcontractE_sk1q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.ap_parcontractE_sk1p (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.rtrancl (-> $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.s1_parcontractD_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.yp $$unsorted) % 66.23/66.40 (declare-const tptp.comb_app (-> $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.parcontract $$unsorted) % 66.23/66.40 (declare-const tptp.ap_contractE_sk1p (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.combS $$unsorted) % 66.23/66.40 (declare-const tptp.ap_parcontractE_c2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 66.23/66.40 (declare-const tptp.ap_contractE_sk2q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.ap_parcontractE_c4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 66.23/66.40 (declare-const tptp.ap_contractE_c4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 66.23/66.40 (declare-const tptp.ap_parcontractE_c1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 66.23/66.40 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 66.23/66.40 (declare-const tptp.k1_parcontractD_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.s2_parcontractD_sk1q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (declare-const tptp.s2_parcontractD_sk1p (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 66.23/66.40 (define @t1 () (@var "Q" $$unsorted)) % 66.23/66.40 (define @t2 () (@var "P" $$unsorted)) % 66.23/66.40 (define @t3 () (tptp.comb_app @t2 @t1)) % 66.23/66.40 (define @t4 () (= tptp.combK @t3)) % 66.23/66.40 (define @t5 () (not @t4)) % 66.23/66.40 (define @t6 () (@list @t2 @t1)) % 66.23/66.40 (define @t7 () (forall @t6 @t5)) % 66.23/66.40 (define @t8 () (@var "P2" $$unsorted)) % 66.23/66.40 (define @t9 () (@var "P1" $$unsorted)) % 66.23/66.40 (define @t10 () (= @t9 @t8)) % 66.23/66.40 (define @t11 () (@var "Q2" $$unsorted)) % 66.23/66.40 (define @t12 () (@var "Q1" $$unsorted)) % 66.23/66.40 (define @t13 () (= (tptp.comb_app @t9 @t12) (tptp.comb_app @t8 @t11))) % 66.23/66.40 (define @t14 () (not @t13)) % 66.23/66.40 (define @t15 () (@list @t9 @t12 @t8 @t11)) % 66.23/66.40 (define @t16 () (= @t12 @t11)) % 66.23/66.40 (define @t17 () (tptp.member @t2 tptp.comb)) % 66.23/66.40 (define @t18 () (tptp.member @t3 tptp.comb)) % 66.23/66.40 (define @t19 () (not @t18)) % 66.23/66.40 (define @t20 () (tptp.member @t1 tptp.comb)) % 66.23/66.40 (define @t21 () (tptp.member tptp.combK tptp.comb)) % 66.23/66.40 (define @t22 () (tptp.member tptp.combS tptp.comb)) % 66.23/66.40 (define @t23 () (not @t20)) % 66.23/66.40 (define @t24 () (not @t17)) % 66.23/66.40 (define @t25 () (@var "A" $$unsorted)) % 66.23/66.40 (define @t26 () (tptp.comb_app tptp.combK @t2)) % 66.23/66.40 (define @t27 () (tptp.comb_app @t26 @t1)) % 66.23/66.40 (define @t28 () (tptp.pair @t27 @t2)) % 66.23/66.40 (define @t29 () (@var "R" $$unsorted)) % 66.23/66.40 (define @t30 () (tptp.comb_app @t2 @t29)) % 66.23/66.40 (define @t31 () (tptp.comb_app tptp.combS @t2)) % 66.23/66.40 (define @t32 () (tptp.comb_app @t31 @t1)) % 66.23/66.40 (define @t33 () (tptp.pair (tptp.comb_app @t32 @t29) (tptp.comb_app @t30 (tptp.comb_app @t1 @t29)))) % 66.23/66.40 (define @t34 () (tptp.member @t29 tptp.comb)) % 66.23/66.40 (define @t35 () (not @t34)) % 66.23/66.40 (define @t36 () (@list @t2 @t1 @t29)) % 66.23/66.40 (define @t37 () (tptp.ap_contractE_c4 @t2 @t1 @t29)) % 66.23/66.40 (define @t38 () (tptp.ap_contractE_c3 @t2 @t1 @t29)) % 66.23/66.40 (define @t39 () (tptp.ap_contractE_c2 @t2 @t1 @t29)) % 66.23/66.40 (define @t40 () (tptp.ap_contractE_c1 @t2 @t1 @t29)) % 66.23/66.40 (define @t41 () (tptp.pair @t3 @t29)) % 66.23/66.40 (define @t42 () (not @t40)) % 66.23/66.40 (define @t43 () (tptp.comb_app tptp.combK @t29)) % 66.23/66.40 (define @t44 () (= @t2 @t43)) % 66.23/66.40 (define @t45 () (tptp.ap_contractE_sk1p @t2 @t1 @t29)) % 66.23/66.40 (define @t46 () (not @t39)) % 66.23/66.40 (define @t47 () (tptp.ap_contractE_sk1q @t2 @t1 @t29)) % 66.23/66.40 (define @t48 () (tptp.ap_contractE_sk2q @t2 @t1 @t29)) % 66.23/66.40 (define @t49 () (not @t38)) % 66.23/66.40 (define @t50 () (tptp.ap_contractE_sk3q @t2 @t1 @t29)) % 66.23/66.40 (define @t51 () (not @t37)) % 66.23/66.40 (define @t52 () (tptp.pair tptp.combK @t29)) % 66.23/66.40 (define @t53 () (@list @t29)) % 66.23/66.40 (define @t54 () (tptp.pair tptp.combS @t29)) % 66.23/66.40 (define @t55 () (tptp.member @t28 tptp.parcontract)) % 66.23/66.40 (define @t56 () (or @t24 @t23 @t55)) % 66.23/66.40 (define @t57 () (forall @t6 @t56)) % 66.23/66.40 (define @t58 () (@var "S" $$unsorted)) % 66.23/66.40 (define @t59 () (tptp.pair @t2 @t1)) % 66.23/66.40 (define @t60 () (not (tptp.member @t52 tptp.parcontract))) % 66.23/66.40 (define @t61 () (not (tptp.member @t54 tptp.parcontract))) % 66.23/66.40 (define @t62 () (tptp.ap_parcontractE_c4 @t2 @t1 @t29)) % 66.23/66.40 (define @t63 () (tptp.ap_parcontractE_c3 @t2 @t1 @t29)) % 66.23/66.40 (define @t64 () (tptp.ap_parcontractE_c2 @t2 @t1 @t29)) % 66.23/66.40 (define @t65 () (tptp.ap_parcontractE_c1 @t2 @t1 @t29)) % 66.23/66.40 (define @t66 () (not @t65)) % 66.23/66.40 (define @t67 () (or @t66 (= @t29 @t3))) % 66.23/66.40 (define @t68 () (forall @t36 @t67)) % 66.23/66.40 (define @t69 () (not @t64)) % 66.23/66.40 (define @t70 () (or @t69 @t44)) % 66.23/66.40 (define @t71 () (forall @t36 @t70)) % 66.23/66.40 (define @t72 () (tptp.ap_parcontractE_sk1p @t2 @t1 @t29)) % 66.23/66.40 (define @t73 () (not @t63)) % 66.23/66.40 (define @t74 () (tptp.ap_parcontractE_sk1q @t2 @t1 @t29)) % 66.23/66.40 (define @t75 () (tptp.comb_app tptp.combS @t72)) % 66.23/66.40 (define @t76 () (tptp.comb_app @t75 @t74)) % 66.23/66.40 (define @t77 () (= @t2 @t76)) % 66.23/66.40 (define @t78 () (or @t73 @t77)) % 66.23/66.40 (define @t79 () (forall @t36 @t78)) % 66.23/66.40 (define @t80 () (tptp.ap_parcontractE_sk2q @t2 @t1 @t29)) % 66.23/66.40 (define @t81 () (not @t62)) % 66.23/66.40 (define @t82 () (tptp.ap_parcontractE_sk2s @t2 @t1 @t29)) % 66.23/66.40 (define @t83 () (tptp.k1_parcontractD_sk1 @t2 @t29)) % 66.23/66.40 (define @t84 () (tptp.comb_app tptp.combK @t83)) % 66.23/66.40 (define @t85 () (= @t29 @t84)) % 66.23/66.40 (define @t86 () (tptp.pair @t26 @t29)) % 66.23/66.40 (define @t87 () (tptp.member @t86 tptp.parcontract)) % 66.23/66.40 (define @t88 () (not @t87)) % 66.23/66.40 (define @t89 () (or @t88 @t85)) % 66.23/66.40 (define @t90 () (@list @t2 @t29)) % 66.23/66.40 (define @t91 () (forall @t90 @t89)) % 66.23/66.40 (define @t92 () (tptp.member (tptp.pair @t2 @t83) tptp.parcontract)) % 66.23/66.40 (define @t93 () (or @t88 @t92)) % 66.23/66.40 (define @t94 () (forall @t90 @t93)) % 66.23/66.40 (define @t95 () (tptp.s1_parcontractD_sk1 @t2 @t29)) % 66.23/66.40 (define @t96 () (not (tptp.member (tptp.pair @t31 @t29) tptp.parcontract))) % 66.23/66.40 (define @t97 () (tptp.s2_parcontractD_sk1q @t2 @t1 @t29)) % 66.23/66.40 (define @t98 () (tptp.s2_parcontractD_sk1p @t2 @t1 @t29)) % 66.23/66.40 (define @t99 () (not (tptp.member (tptp.pair @t32 @t29) tptp.parcontract))) % 66.23/66.40 (define @t100 () (tptp.inl tptp.eptset)) % 66.23/66.40 (define @t101 () (@var "C" $$unsorted)) % 66.23/66.40 (define @t102 () (= @t101 @t100)) % 66.23/66.40 (define @t103 () (not (= tptp.combK @t101))) % 66.23/66.40 (define @t104 () (or @t103 @t102)) % 66.23/66.40 (define @t105 () (@list @t101)) % 66.23/66.40 (define @t106 () (forall @t105 @t104)) % 66.23/66.40 (define @t107 () (tptp.inr @t100)) % 66.23/66.40 (define @t108 () (= @t101 @t107)) % 66.23/66.40 (define @t109 () (not (= tptp.combS @t101))) % 66.23/66.40 (define @t110 () (or @t109 @t108)) % 66.23/66.40 (define @t111 () (forall @t105 @t110)) % 66.23/66.40 (define @t112 () (@var "B" $$unsorted)) % 66.23/66.40 (define @t113 () (tptp.member tptp.p tptp.comb)) % 66.23/66.40 (define @t114 () (tptp.member tptp.q tptp.comb)) % 66.23/66.40 (define @t115 () (tptp.comb_app tptp.combK tptp.p)) % 66.23/66.40 (define @t116 () (tptp.comb_app @t115 tptp.q)) % 66.23/66.40 (define @t117 () (tptp.pair @t116 tptp.yp)) % 66.23/66.40 (define @t118 () (tptp.member @t117 tptp.parcontract)) % 66.23/66.40 (define @t119 () (@var "Z" $$unsorted)) % 66.23/66.40 (define @t120 () (tptp.comb_app @t100 tptp.p)) % 66.23/66.40 (define @t121 () (@list @t120 tptp.q tptp.yp)) % 66.23/66.40 (define @t122 () (= tptp.combS @t107)) % 66.23/66.40 (define @t123 () (not (= tptp.combS tptp.combS))) % 66.23/66.40 (define @t124 () (or @t123 @t122)) % 66.23/66.40 (define @t125 () (or @t109 @t109 @t108)) % 66.23/66.40 (define @t126 () (tptp.ap_parcontractE_sk1q @t120 tptp.q tptp.yp)) % 66.23/66.40 (define @t127 () (tptp.ap_parcontractE_sk1p @t120 tptp.q tptp.yp)) % 66.23/66.40 (define @t128 () (tptp.comb_app @t107 @t127)) % 66.23/66.40 (define @t129 () (not (= @t100 @t3))) % 66.23/66.40 (define @t130 () (= tptp.combK @t100)) % 66.23/66.40 (define @t131 () (not (= tptp.combK tptp.combK))) % 66.23/66.40 (define @t132 () (or @t131 @t130)) % 66.23/66.40 (define @t133 () (or @t103 @t103 @t102)) % 66.23/66.40 (define @t134 () (not (= @t128 @t100))) % 66.23/66.40 (define @t135 () (forall @t6 (not (= @t3 @t100)))) % 66.23/66.40 (define @t136 () (= @t100 @t128)) % 66.23/66.40 (define @t137 () (@list false)) % 66.23/66.40 (define @t138 () (= @t120 (tptp.comb_app @t128 @t126))) % 66.23/66.40 (define @t139 () (not @t138)) % 66.23/66.40 (define @t140 () (or @t139 @t136)) % 66.23/66.40 (define @t141 () (@list true false)) % 66.23/66.40 (define @t142 () (tptp.ap_parcontractE_c3 @t120 tptp.q tptp.yp)) % 66.23/66.40 (define @t143 () (not @t142)) % 66.23/66.40 (define @t144 () (or @t143 @t138)) % 66.23/66.40 (define @t145 () (@list tptp.yp)) % 66.23/66.40 (define @t146 () (tptp.comb_app @t120 tptp.q)) % 66.23/66.40 (define @t147 () (tptp.member tptp.yp tptp.comb)) % 66.23/66.40 (define @t148 () (tptp.member (tptp.pair @t146 tptp.yp) tptp.parcontract)) % 66.23/66.40 (define @t149 () (not @t148)) % 66.23/66.40 (define @t150 () (or @t149 @t147)) % 66.23/66.40 (define @t151 () (@list false false)) % 66.23/66.40 (define @t152 () (tptp.member (tptp.pair tptp.yp tptp.yp) tptp.parcontract)) % 66.23/66.40 (define @t153 () (not @t147)) % 66.23/66.40 (define @t154 () (or @t153 @t152)) % 66.23/66.40 (define @t155 () (not @t152)) % 66.23/66.40 (define @t156 () (tptp.pair tptp.p tptp.yp)) % 66.23/66.40 (define @t157 () (tptp.member @t156 tptp.parcontract)) % 66.23/66.40 (define @t158 () (not @t157)) % 66.23/66.40 (define @t159 () (or @t158 @t155)) % 66.23/66.40 (define @t160 () (@list tptp.p)) % 66.23/66.40 (define @t161 () (tptp.member (tptp.pair tptp.p tptp.p) tptp.parcontract)) % 66.23/66.40 (define @t162 () (not @t113)) % 66.23/66.40 (define @t163 () (or @t162 @t161)) % 66.23/66.40 (define @t164 () (= tptp.p tptp.yp)) % 66.23/66.40 (define @t165 () (not @t164)) % 66.23/66.40 (define @t166 () (not @t161)) % 66.23/66.40 (define @t167 () (= false true)) % 66.23/66.40 (define @t168 () (and @t161 @t164 @t158)) % 66.23/66.40 (define @t169 () (= @t120 (tptp.comb_app @t100 tptp.yp))) % 66.23/66.40 (define @t170 () (not @t169)) % 66.23/66.40 (define @t171 () (or @t170 @t164)) % 66.23/66.40 (define @t172 () (tptp.ap_parcontractE_c2 @t120 tptp.q tptp.yp)) % 66.23/66.40 (define @t173 () (not @t172)) % 66.23/66.40 (define @t174 () (or @t173 @t169)) % 66.23/66.40 (define @t175 () (tptp.ap_parcontractE_c1 @t120 tptp.q tptp.yp)) % 66.23/66.40 (define @t176 () (not @t175)) % 66.23/66.40 (define @t177 () (or @t176 (= @t146 tptp.yp))) % 66.23/66.40 (define @t178 () (forall @t36 (or @t66 (= @t3 @t29)))) % 66.23/66.40 (define @t179 () (= tptp.yp @t146)) % 66.23/66.40 (define @t180 () (or @t176 @t179)) % 66.23/66.40 (define @t181 () (tptp.pair @t146 tptp.p)) % 66.23/66.40 (define @t182 () (tptp.member @t181 tptp.parcontract)) % 66.23/66.40 (define @t183 () (not @t114)) % 66.23/66.40 (define @t184 () (or @t162 @t183 @t182)) % 66.23/66.40 (define @t185 () (@list false false false)) % 66.23/66.40 (define @t186 () (tptp.member (tptp.pair tptp.yp tptp.p) tptp.parcontract)) % 66.23/66.40 (define @t187 () (not @t186)) % 66.23/66.40 (define @t188 () (or @t166 @t187)) % 66.23/66.40 (define @t189 () (not @t182)) % 66.23/66.40 (define @t190 () (not @t179)) % 66.23/66.40 (define @t191 () (and @t187 @t179 @t182)) % 66.23/66.40 (define @t192 () (tptp.ap_parcontractE_c4 @t120 tptp.q tptp.yp)) % 66.23/66.40 (define @t193 () (or @t149 @t175 @t172 @t142 @t192)) % 66.23/66.40 (define @t194 () (tptp.ap_parcontractE_sk2s @t120 tptp.q tptp.yp)) % 66.23/66.40 (define @t195 () (tptp.ap_parcontractE_sk2q @t120 tptp.q tptp.yp)) % 66.23/66.40 (define @t196 () (tptp.comb_app @t195 @t194)) % 66.23/66.40 (define @t197 () (= tptp.yp @t196)) % 66.23/66.40 (define @t198 () (not @t192)) % 66.23/66.40 (define @t199 () (or @t198 @t197)) % 66.23/66.40 (define @t200 () (@list tptp.p @t195)) % 66.23/66.40 (define @t201 () (tptp.member (tptp.pair @t120 @t195) tptp.parcontract)) % 66.23/66.40 (define @t202 () (or @t198 @t201)) % 66.23/66.40 (define @t203 () (tptp.k1_parcontractD_sk1 tptp.p @t195)) % 66.23/66.40 (define @t204 () (tptp.comb_app @t100 @t203)) % 66.23/66.40 (define @t205 () (= @t195 @t204)) % 66.23/66.40 (define @t206 () (not @t201)) % 66.23/66.40 (define @t207 () (or @t206 @t205)) % 66.23/66.40 (define @t208 () (tptp.member (tptp.pair tptp.p @t203) tptp.parcontract)) % 66.23/66.40 (define @t209 () (or @t206 @t208)) % 66.23/66.40 (define @t210 () (tptp.pair tptp.yp @t203)) % 66.23/66.40 (define @t211 () (tptp.member @t210 tptp.parcontract)) % 66.23/66.40 (define @t212 () (not @t211)) % 66.23/66.40 (define @t213 () (not @t208)) % 66.23/66.40 (define @t214 () (or @t213 @t212)) % 66.23/66.40 (define @t215 () (tptp.member (tptp.pair tptp.q @t194) tptp.parcontract)) % 66.23/66.40 (define @t216 () (or @t198 @t215)) % 66.23/66.40 (define @t217 () (tptp.member @t194 tptp.comb)) % 66.23/66.40 (define @t218 () (not @t215)) % 66.23/66.40 (define @t219 () (or @t218 @t217)) % 66.23/66.40 (define @t220 () (tptp.member @t203 tptp.comb)) % 66.23/66.40 (define @t221 () (or @t213 @t220)) % 66.23/66.40 (define @t222 () (tptp.member (tptp.pair (tptp.comb_app @t204 @t194) @t203) tptp.parcontract)) % 66.23/66.40 (define @t223 () (not @t217)) % 66.23/66.40 (define @t224 () (not @t220)) % 66.23/66.40 (define @t225 () (or @t224 @t223 @t222)) % 66.23/66.40 (define @t226 () (not @t222)) % 66.23/66.40 (define @t227 () (not @t205)) % 66.23/66.40 (define @t228 () (not @t197)) % 66.23/66.40 (define @t229 () (and @t222 @t205 @t197 @t212)) % 66.23/66.40 (assume @p1 (not (= tptp.combK tptp.combS))) % 66.23/66.40 (assume @p2 @t7) % 66.23/66.40 (assume @p3 (forall @t6 (not (= tptp.combS @t3)))) % 66.23/66.40 (assume @p4 (forall @t15 (or @t14 @t10))) % 66.23/66.40 (assume @p5 (forall @t15 (or @t14 @t16))) % 66.23/66.40 (assume @p6 (forall (@list @t9 @t8 @t12 @t11) (or (not @t10) (not @t16) @t13))) % 66.23/66.40 (assume @p7 (forall @t6 (or @t19 @t17))) % 66.23/66.40 (assume @p8 (forall @t6 (or @t19 @t20))) % 66.23/66.40 (assume @p9 @t21) % 66.23/66.40 (assume @p10 @t22) % 66.23/66.40 (assume @p11 (forall @t6 (or @t24 @t23 @t18))) % 66.23/66.40 (assume @p12 (forall (@list @t25) (or (not (tptp.member @t25 tptp.comb)) (tptp.member (tptp.pair @t25 @t25) (tptp.rtrancl tptp.contract))))) % 66.23/66.40 (assume @p13 (forall @t6 (or @t24 @t23 (tptp.member @t28 tptp.contract)))) % 66.23/66.40 (assume @p14 (forall @t36 (or @t24 @t23 @t35 (tptp.member @t33 tptp.contract)))) % 66.23/66.40 (assume @p15 (forall @t36 (or (not (tptp.member @t41 tptp.contract)) @t40 @t39 @t38 @t37))) % 66.23/66.40 (assume @p16 (forall @t36 (or @t42 @t34))) % 66.23/66.40 (assume @p17 (forall @t36 (or @t42 @t20))) % 66.23/66.40 (assume @p18 (forall @t36 (or @t42 @t44))) % 66.23/66.40 (assume @p19 (forall @t36 (or @t46 (tptp.member @t45 tptp.comb)))) % 66.23/66.40 (assume @p20 (forall @t36 (or @t46 (tptp.member @t47 tptp.comb)))) % 66.23/66.40 (assume @p21 (forall @t36 (or @t46 @t20))) % 66.23/66.40 (assume @p22 (forall @t36 (or @t46 (= @t29 (tptp.comb_app (tptp.comb_app @t45 @t1) (tptp.comb_app @t47 @t1)))))) % 66.23/66.40 (assume @p23 (forall @t36 (or @t46 (= @t2 (tptp.comb_app (tptp.comb_app tptp.combS @t45) @t47))))) % 66.23/66.40 (assume @p24 (forall @t36 (or @t49 (tptp.member (tptp.pair @t2 @t48) tptp.contract)))) % 66.23/66.40 (assume @p25 (forall @t36 (or @t49 @t20))) % 66.23/66.40 (assume @p26 (forall @t36 (or @t49 (= @t29 (tptp.comb_app @t48 @t1))))) % 66.23/66.40 (assume @p27 (forall @t36 (or @t51 (tptp.member (tptp.pair @t1 @t50) tptp.contract)))) % 66.23/66.40 (assume @p28 (forall @t36 (or @t51 @t17))) % 66.23/66.40 (assume @p29 (forall @t36 (or @t51 (= @t29 (tptp.comb_app @t2 @t50))))) % 66.23/66.40 (assume @p30 (forall @t53 (not (tptp.member @t52 tptp.contract)))) % 66.23/66.40 (assume @p31 (forall @t53 (not (tptp.member @t54 tptp.contract)))) % 66.23/66.40 (assume @p32 (forall (@list @t2) (or @t24 (tptp.member (tptp.pair @t2 @t2) tptp.parcontract)))) % 66.23/66.40 (assume @p33 @t57) % 66.23/66.40 (assume @p34 (forall @t36 (or @t24 @t23 @t35 (tptp.member @t33 tptp.parcontract)))) % 66.23/66.40 (assume @p35 (forall (@list @t2 @t1 @t29 @t58) (or (not (tptp.member @t59 tptp.parcontract)) (not (tptp.member (tptp.pair @t29 @t58) tptp.parcontract)) (tptp.member (tptp.pair @t30 (tptp.comb_app @t1 @t58)) tptp.parcontract)))) % 66.23/66.40 (assume @p36 (forall @t53 (or @t60 @t21))) % 66.23/66.40 (assume @p37 (forall @t53 (or @t60 (= @t29 tptp.combK)))) % 66.23/66.40 (assume @p38 (forall @t53 (or @t61 @t22))) % 66.23/66.40 (assume @p39 (forall @t53 (or @t61 (= @t29 tptp.combS)))) % 66.23/66.40 (assume @p40 (forall @t36 (or (not (tptp.member @t41 tptp.parcontract)) @t65 @t64 @t63 @t62))) % 66.23/66.40 (assume @p41 (forall @t36 (or @t66 @t18))) % 66.23/66.40 (assume @p42 @t68) % 66.23/66.40 (assume @p43 (forall @t36 (or @t69 @t34))) % 66.23/66.40 (assume @p44 (forall @t36 (or @t69 @t20))) % 66.23/66.40 (assume @p45 @t71) % 66.23/66.40 (assume @p46 (forall @t36 (or @t73 (tptp.member @t72 tptp.comb)))) % 66.23/66.40 (assume @p47 (forall @t36 (or @t73 (tptp.member @t74 tptp.comb)))) % 66.23/66.40 (assume @p48 (forall @t36 (or @t73 @t20))) % 66.23/66.40 (assume @p49 (forall @t36 (or @t73 (= @t29 (tptp.comb_app (tptp.comb_app @t72 @t1) (tptp.comb_app @t74 @t1)))))) % 66.23/66.40 (assume @p50 @t79) % 66.23/66.40 (assume @p51 (forall @t36 (or @t81 (tptp.member (tptp.pair @t2 @t80) tptp.parcontract)))) % 66.23/66.40 (assume @p52 (forall @t36 (or @t81 (tptp.member (tptp.pair @t1 @t82) tptp.parcontract)))) % 66.23/66.40 (assume @p53 (forall @t36 (or @t81 (= @t29 (tptp.comb_app @t80 @t82))))) % 66.23/66.40 (assume @p54 @t91) % 66.23/66.40 (assume @p55 @t94) % 66.23/66.40 (assume @p56 (forall @t90 (or @t96 (= @t29 (tptp.comb_app tptp.combS @t95))))) % 66.23/66.40 (assume @p57 (forall @t90 (or @t96 (tptp.member (tptp.pair @t2 @t95) tptp.parcontract)))) % 66.23/66.40 (assume @p58 (forall @t36 (or @t99 (= @t29 (tptp.comb_app (tptp.comb_app tptp.combS @t98) @t97))))) % 66.23/66.40 (assume @p59 (forall @t36 (or @t99 (tptp.member (tptp.pair @t2 @t98) tptp.parcontract)))) % 66.23/66.40 (assume @p60 (forall @t36 (or @t99 (tptp.member (tptp.pair @t1 @t97) tptp.parcontract)))) % 66.23/66.40 (assume @p61 @t106) % 66.23/66.40 (assume @p62 @t111) % 66.23/66.40 (assume @p63 (forall (@list @t2 @t1 @t101) (or (not (= @t3 @t101)) (= @t101 (tptp.inr (tptp.inr @t59)))))) % 66.23/66.40 (assume @p64 (forall (@list @t25 @t112) (or (not (tptp.member (tptp.pair @t25 @t112) tptp.parcontract)) (tptp.member @t112 tptp.comb)))) % 66.23/66.40 (assume @p65 @t113) % 66.23/66.40 (assume @p66 @t114) % 66.23/66.40 (assume @p67 @t118) % 66.23/66.40 (assume @p68 (forall (@list @t119) (or (not (tptp.member (tptp.pair tptp.p @t119) tptp.parcontract)) (not (tptp.member (tptp.pair tptp.yp @t119) tptp.parcontract))))) % 66.23/66.40 (step @p69 :rule instantiate :premises (@p53) :args (@t121)) % 66.23/66.40 (step @p70 :rule instantiate :premises (@p40) :args (@t121)) % 66.23/66.40 (step @p71 :rule refl :args (@t74)) % 66.23/66.40 (step @p72 :rule refl :args (@t72)) % 66.23/66.40 (step @p73 :rule aci_norm :args ((= (or false @t122) @t122))) % 66.23/66.40 (step @p74 :rule refl :args (@t122)) % 66.23/66.40 (step @p75 :rule evaluate :args ((not true))) % 66.23/66.40 (step @p76 :rule eq-refl :args (tptp.combS)) % 66.23/66.40 (step @p77 :rule cong :premises (@p76) :args (@t123)) % 66.23/66.40 (step @p78 :rule trans :premises (@p77 @p75)) % 66.23/66.40 (step @p79 :rule nary_cong :premises (@p78 @p74) :args (@t124)) % 66.23/66.40 (step @p80 :rule trans :premises (@p79 @p73)) % 66.23/66.40 (step @p81 :rule quant-var-elim-eq :args ((= (forall @t105 (or (not (= @t101 tptp.combS)) @t109 @t108)) @t124))) % 66.23/66.40 (step @p82 :rule refl :args (@t108)) % 66.23/66.40 (step @p83 :rule refl :args (@t109)) % 66.23/66.40 (step @p84 :rule eq-symm :args (tptp.combS @t101)) % 66.23/66.40 (step @p85 :rule cong :premises (@p84) :args (@t109)) % 66.23/66.40 (step @p86 :rule nary_cong :premises (@p85 @p83 @p82) :args (@t125)) % 66.23/66.40 (step @p87 :rule aci_norm :args ((= @t110 @t125))) % 66.23/66.40 (step @p88 :rule trans :premises (@p87 @p86)) % 66.23/66.40 (step @p89 :rule cong :premises (@p88) :args (@t111)) % 66.23/66.40 (step @p90 :rule trans :premises (@p89 @p81)) % 66.23/66.40 (step @p91 :rule trans :premises (@p90 @p80)) % 66.23/66.40 (step @p92 :rule eq_resolve :premises (@p62 @p91)) % 66.23/66.40 (step @p93 :rule cong :premises (@p92 @p72) :args (@t75)) % 66.23/66.40 (step @p94 :rule cong :premises (@p93 @p71) :args (@t76)) % 66.23/66.40 (step @p95 :rule refl :args (@t2)) % 66.23/66.40 (step @p96 :rule cong :premises (@p95 @p94) :args (@t77)) % 66.23/66.40 (step @p97 :rule refl :args (@t73)) % 66.23/66.40 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t78)) % 66.23/66.40 (step @p99 :rule cong :premises (@p98) :args (@t79)) % 66.23/66.40 (step @p100 :rule eq_resolve :premises (@p50 @p99)) % 66.23/66.40 (step @p101 :rule instantiate :premises (@p100) :args (@t121)) % 66.23/66.40 (step @p102 :rule instantiate :premises (@p4) :args ((@list @t100 tptp.p @t128 @t126))) % 66.23/66.40 (step @p103 :rule eq-symm :args (@t100 @t3)) % 66.23/66.40 (step @p104 :rule cong :premises (@p103) :args (@t129)) % 66.23/66.40 (step @p105 :rule cong :premises (@p104) :args ((forall @t6 @t129))) % 66.23/66.40 (step @p106 :rule refl :args (@t3)) % 66.23/66.40 (step @p107 :rule aci_norm :args ((= (or false @t130) @t130))) % 66.23/66.40 (step @p108 :rule refl :args (@t130)) % 66.23/66.40 (step @p109 :rule eq-refl :args (tptp.combK)) % 66.23/66.40 (step @p110 :rule cong :premises (@p109) :args (@t131)) % 66.23/66.40 (step @p111 :rule trans :premises (@p110 @p75)) % 66.23/66.40 (step @p112 :rule nary_cong :premises (@p111 @p108) :args (@t132)) % 66.23/66.40 (step @p113 :rule trans :premises (@p112 @p107)) % 66.23/66.40 (step @p114 :rule quant-var-elim-eq :args ((= (forall @t105 (or (not (= @t101 tptp.combK)) @t103 @t102)) @t132))) % 66.23/66.40 (step @p115 :rule refl :args (@t102)) % 66.23/66.40 (step @p116 :rule refl :args (@t103)) % 66.23/66.40 (step @p117 :rule eq-symm :args (tptp.combK @t101)) % 66.23/66.40 (step @p118 :rule cong :premises (@p117) :args (@t103)) % 66.23/66.40 (step @p119 :rule nary_cong :premises (@p118 @p116 @p115) :args (@t133)) % 66.23/66.40 (step @p120 :rule aci_norm :args ((= @t104 @t133))) % 66.23/66.40 (step @p121 :rule trans :premises (@p120 @p119)) % 66.23/66.40 (step @p122 :rule cong :premises (@p121) :args (@t106)) % 66.23/66.40 (step @p123 :rule trans :premises (@p122 @p114)) % 66.23/66.40 (step @p124 :rule trans :premises (@p123 @p113)) % 66.23/66.40 (step @p125 :rule eq_resolve :premises (@p61 @p124)) % 66.23/66.40 (step @p126 :rule cong :premises (@p125 @p106) :args (@t4)) % 66.23/66.40 (step @p127 :rule cong :premises (@p126) :args (@t5)) % 66.23/66.40 (step @p128 :rule cong :premises (@p127) :args (@t7)) % 66.23/66.40 (step @p129 :rule trans :premises (@p128 @p105)) % 66.23/66.40 (step @p130 :rule eq_resolve :premises (@p2 @p129)) % 66.23/66.40 (step @p131 :rule eq-symm :args (@t128 @t100)) % 66.23/66.40 (step @p132 :rule cong :premises (@p131) :args (@t134)) % 66.23/66.40 (step @p133 :rule refl :args (@t135)) % 66.23/66.40 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t135 @t134))) % 66.23/66.40 (assume-push @p383 @t135) % 66.23/66.40 (step @p136 :rule instantiate :premises (@p130) :args ((@list @t107 @t127))) % 66.23/66.40 (step-pop @p384 :rule scope :premises (@p136)) % 66.23/66.40 (step @p137 :rule process_scope :premises (@p384) :args (@t134)) % 66.23/66.40 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 66.23/66.40 (step @p140 :rule implies_elim :premises (@p139)) % 66.23/66.40 (step @p141 :rule chain_m_resolution :premises (@p140 @p130) :args ((not @t136) @t137 (@list @t135))) % 66.23/66.40 (step @p142 :rule cnf_or_pos :args (@t140)) % 66.23/66.40 (step @p143 :rule reordering :premises (@p142) :args ((or @t139 @t136 (not @t140)))) % 66.23/66.40 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p102) :args (@t139 @t141 (@list @t136 @t140))) % 66.23/66.40 (step @p145 :rule cnf_or_pos :args (@t144)) % 66.23/66.40 (step @p146 :rule reordering :premises (@p145) :args ((or @t143 @t138 (not @t144)))) % 66.23/66.40 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p101) :args (@t143 @t141 (@list @t138 @t144))) % 66.23/66.40 (step @p148 :rule refl :args (@t29)) % 66.23/66.40 (step @p149 :rule cong :premises (@p125 @p148) :args (@t43)) % 66.23/66.40 (step @p150 :rule cong :premises (@p95 @p149) :args (@t44)) % 66.23/66.40 (step @p151 :rule refl :args (@t69)) % 66.23/66.40 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t70)) % 66.23/66.40 (step @p153 :rule cong :premises (@p152) :args (@t71)) % 66.23/66.40 (step @p154 :rule eq_resolve :premises (@p45 @p153)) % 66.23/66.40 (step @p155 :rule instantiate :premises (@p154) :args (@t121)) % 66.23/66.40 (step @p156 :rule instantiate :premises (@p5) :args ((@list @t100 tptp.p @t100 tptp.yp))) % 66.23/66.40 (step @p157 :rule instantiate :premises (@p68) :args (@t145)) % 66.23/66.40 (step @p158 :rule instantiate :premises (@p32) :args (@t145)) % 66.23/66.40 (step @p159 :rule instantiate :premises (@p64) :args ((@list @t146 tptp.yp))) % 66.23/66.40 (step @p160 :rule refl :args (tptp.parcontract)) % 66.23/66.40 (step @p161 :rule refl :args (tptp.yp)) % 66.23/66.40 (step @p162 :rule refl :args (tptp.q)) % 66.23/66.40 (step @p163 :rule refl :args (tptp.p)) % 66.23/66.40 (step @p164 :rule cong :premises (@p125 @p163) :args (@t115)) % 66.23/66.40 (step @p165 :rule cong :premises (@p164 @p162) :args (@t116)) % 66.23/66.40 (step @p166 :rule cong :premises (@p165 @p161) :args (@t117)) % 66.23/66.40 (step @p167 :rule cong :premises (@p166 @p160) :args (@t118)) % 66.23/66.40 (step @p168 :rule eq_resolve :premises (@p67 @p167)) % 66.23/66.40 (step @p169 :rule cnf_or_pos :args (@t150)) % 66.23/66.40 (step @p170 :rule reordering :premises (@p169) :args ((or @t149 @t147 (not @t150)))) % 66.23/66.40 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p159) :args (@t147 @t151 (@list @t148 @t150))) % 66.23/66.40 (step @p172 :rule cnf_or_pos :args (@t154)) % 66.23/66.40 (step @p173 :rule reordering :premises (@p172) :args ((or @t153 @t152 (not @t154)))) % 66.23/66.40 (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p158) :args (@t152 @t151 (@list @t147 @t154))) % 66.23/66.40 (step @p175 :rule cnf_or_pos :args (@t159)) % 66.23/66.40 (step @p176 :rule reordering :premises (@p175) :args ((or @t158 @t155 (not @t159)))) % 66.23/66.40 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p157) :args (@t158 @t151 (@list @t152 @t159))) % 66.23/66.40 (step @p178 :rule instantiate :premises (@p32) :args (@t160)) % 66.23/66.40 (step @p179 :rule cnf_or_pos :args (@t163)) % 66.23/66.40 (step @p180 :rule reordering :premises (@p179) :args ((or @t162 @t161 (not @t163)))) % 66.23/66.40 (step @p181 :rule chain_m_resolution :premises (@p180 @p65 @p178) :args (@t161 @t151 (@list @t113 @t163))) % 66.23/66.40 (step @p182 :rule refl :args (@t165)) % 66.23/66.40 (step @p183 :rule bool-double-not-elim :args (@t157)) % 66.23/66.40 (step @p184 :rule refl :args (@t166)) % 66.23/66.40 (step @p185 :rule nary_cong :premises (@p184 @p183 @p182) :args ((or @t166 (not @t158) @t165))) % 66.23/66.40 (assume-push @p385 @t161) % 66.23/66.40 (assume-push @p386 @t164) % 66.23/66.40 (assume-push @p387 @t158) % 66.23/66.40 (step @p189 :rule evaluate :args (@t167)) % 66.23/66.40 (step @p190 :rule true_intro :premises (@p181)) % 66.23/66.40 (step @p191 :rule symm :premises (@p386)) % 66.23/66.40 (step @p192 :rule cong :premises (@p163 @p191) :args (@t156)) % 66.23/66.40 (step @p193 :rule cong :premises (@p192 @p160) :args (@t157)) % 66.23/66.40 (step @p194 :rule false_intro :premises (@p177)) % 66.23/66.40 (step @p195 :rule symm :premises (@p194)) % 66.23/66.40 (step @p196 :rule trans :premises (@p195 @p193 @p190)) % 66.23/66.40 (step @p197 false :rule eq_resolve :premises (@p196 @p189)) % 66.23/66.40 (step-pop @p388 :rule scope :premises (@p197)) % 66.23/66.40 (step-pop @p389 :rule scope :premises (@p388)) % 66.23/66.40 (step-pop @p390 :rule scope :premises (@p389)) % 66.23/66.40 (step @p198 :rule process_scope :premises (@p390) :args (false)) % 66.23/66.40 (assume-push @p391 @t161) % 66.23/66.40 (assume-push @p392 @t158) % 66.23/66.40 (assume-push @p393 @t164) % 66.23/66.40 (step @p205 :rule and_intro :premises (@p181 @p393 @p177)) % 66.23/66.40 (step-pop @p394 :rule scope :premises (@p205)) % 66.23/66.40 (step-pop @p395 :rule scope :premises (@p394)) % 66.23/66.40 (step-pop @p396 :rule scope :premises (@p395)) % 66.23/66.40 (step @p206 :rule process_scope :premises (@p396) :args (@t168)) % 66.23/66.40 (step @p210 :rule implies_elim :premises (@p206)) % 66.23/66.40 (step @p211 :rule resolution :premises (@p210 @p198) :args (true @t168)) % 66.23/66.40 (step @p212 :rule not_and :premises (@p211)) % 66.23/66.40 (step @p213 :rule eq_resolve :premises (@p212 @p185)) % 66.23/66.40 (step @p214 :rule chain_m_resolution :premises (@p213 @p181 @p177) :args (@t165 (@list false true) (@list @t161 @t157))) % 66.23/66.40 (step @p215 :rule cnf_or_pos :args (@t171)) % 66.23/66.40 (step @p216 :rule reordering :premises (@p215) :args ((or @t170 @t164 (not @t171)))) % 66.23/66.40 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p156) :args (@t170 @t141 (@list @t164 @t171))) % 66.23/66.40 (step @p218 :rule cnf_or_pos :args (@t174)) % 66.23/66.40 (step @p219 :rule reordering :premises (@p218) :args ((or @t173 @t169 (not @t174)))) % 66.23/66.40 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p155) :args (@t173 @t141 (@list @t169 @t174))) % 66.23/66.40 (step @p221 :rule eq-symm :args (@t29 @t3)) % 66.23/66.40 (step @p222 :rule refl :args (@t66)) % 66.23/66.40 (step @p223 :rule nary_cong :premises (@p222 @p221) :args (@t67)) % 66.23/66.40 (step @p224 :rule cong :premises (@p223) :args (@t68)) % 66.23/66.40 (step @p225 :rule eq_resolve :premises (@p42 @p224)) % 66.23/66.40 (step @p226 :rule eq-symm :args (@t146 tptp.yp)) % 66.23/66.40 (step @p227 :rule refl :args (@t176)) % 66.23/66.40 (step @p228 :rule nary_cong :premises (@p227 @p226) :args (@t177)) % 66.23/66.40 (step @p229 :rule refl :args (@t178)) % 66.23/66.40 (step @p230 :rule cong :premises (@p229 @p228) :args ((=> @t178 @t177))) % 66.23/66.40 (assume-push @p397 @t178) % 66.23/66.40 (step @p232 :rule instantiate :premises (@p225) :args (@t121)) % 66.23/66.40 (step-pop @p398 :rule scope :premises (@p232)) % 66.23/66.40 (step @p233 :rule process_scope :premises (@p398) :args (@t177)) % 66.23/66.40 (step @p235 :rule eq_resolve :premises (@p233 @p230)) % 66.23/66.40 (step @p236 :rule implies_elim :premises (@p235)) % 66.23/66.40 (step @p237 :rule chain_m_resolution :premises (@p236 @p225) :args (@t180 @t137 (@list @t178))) % 66.23/66.40 (step @p238 :rule refl :args (@t1)) % 66.23/66.40 (step @p239 :rule cong :premises (@p125 @p95) :args (@t26)) % 66.23/66.40 (step @p240 :rule cong :premises (@p239 @p238) :args (@t27)) % 66.23/66.40 (step @p241 :rule cong :premises (@p240 @p95) :args (@t28)) % 66.23/66.40 (step @p242 :rule cong :premises (@p241 @p160) :args (@t55)) % 66.23/66.40 (step @p243 :rule refl :args (@t23)) % 66.23/66.40 (step @p244 :rule refl :args (@t24)) % 66.23/66.40 (step @p245 :rule nary_cong :premises (@p244 @p243 @p242) :args (@t56)) % 66.23/66.40 (step @p246 :rule cong :premises (@p245) :args (@t57)) % 66.23/66.40 (step @p247 :rule eq_resolve :premises (@p33 @p246)) % 66.23/66.40 (step @p248 :rule instantiate :premises (@p247) :args ((@list tptp.p tptp.q))) % 66.23/66.40 (step @p249 :rule cnf_or_pos :args (@t184)) % 66.23/66.40 (step @p250 :rule reordering :premises (@p249) :args ((or @t162 @t183 @t182 (not @t184)))) % 66.23/66.40 (step @p251 :rule chain_m_resolution :premises (@p250 @p65 @p66 @p248) :args (@t182 @t185 (@list @t113 @t114 @t184))) % 66.23/66.40 (step @p252 :rule instantiate :premises (@p68) :args (@t160)) % 66.23/66.40 (step @p253 :rule cnf_or_pos :args (@t188)) % 66.23/66.40 (step @p254 :rule reordering :premises (@p253) :args ((or @t166 @t187 (not @t188)))) % 66.23/66.40 (step @p255 :rule chain_m_resolution :premises (@p254 @p181 @p252) :args (@t187 @t151 (@list @t161 @t188))) % 66.23/66.40 (step @p256 :rule refl :args (@t189)) % 66.23/66.40 (step @p257 :rule bool-double-not-elim :args (@t186)) % 66.23/66.40 (step @p258 :rule refl :args (@t190)) % 66.23/66.40 (step @p259 :rule nary_cong :premises (@p258 @p257 @p256) :args ((or @t190 (not @t187) @t189))) % 66.23/66.40 (assume-push @p399 @t187) % 66.23/66.40 (assume-push @p400 @t179) % 66.23/66.40 (assume-push @p401 @t182) % 66.23/66.40 (step @p263 :rule evaluate :args ((= true false))) % 66.23/66.40 (step @p264 :rule false_intro :premises (@p255)) % 66.23/66.40 (step @p265 :rule symm :premises (@p400)) % 66.23/66.40 (step @p266 :rule cong :premises (@p265 @p163) :args (@t181)) % 66.23/66.40 (step @p267 :rule cong :premises (@p266 @p160) :args (@t182)) % 66.23/66.40 (step @p268 :rule true_intro :premises (@p251)) % 66.23/66.40 (step @p269 :rule symm :premises (@p268)) % 66.23/66.40 (step @p270 :rule trans :premises (@p269 @p267 @p264)) % 66.23/66.40 (step @p271 false :rule eq_resolve :premises (@p270 @p263)) % 66.23/66.40 (step-pop @p402 :rule scope :premises (@p271)) % 66.23/66.40 (step-pop @p403 :rule scope :premises (@p402)) % 66.23/66.40 (step-pop @p404 :rule scope :premises (@p403)) % 66.23/66.40 (step @p272 :rule process_scope :premises (@p404) :args (false)) % 66.23/66.40 (assume-push @p405 @t179) % 66.23/66.40 (assume-push @p406 @t187) % 66.23/66.40 (assume-push @p407 @t182) % 66.23/66.40 (step @p279 :rule and_intro :premises (@p255 @p405 @p251)) % 66.23/66.40 (step-pop @p408 :rule scope :premises (@p279)) % 66.23/66.40 (step-pop @p409 :rule scope :premises (@p408)) % 66.23/66.40 (step-pop @p410 :rule scope :premises (@p409)) % 66.23/66.40 (step @p280 :rule process_scope :premises (@p410) :args (@t191)) % 66.23/66.40 (step @p284 :rule implies_elim :premises (@p280)) % 66.23/66.40 (step @p285 :rule resolution :premises (@p284 @p272) :args (true @t191)) % 66.23/66.40 (step @p286 :rule not_and :premises (@p285)) % 66.23/66.40 (step @p287 :rule eq_resolve :premises (@p286 @p259)) % 66.23/66.40 (step @p288 :rule chain_m_resolution :premises (@p287 @p255 @p251) :args (@t190 @t141 (@list @t186 @t182))) % 66.23/66.40 (step @p289 :rule cnf_or_pos :args (@t180)) % 66.23/66.40 (step @p290 :rule reordering :premises (@p289) :args ((or @t176 @t179 (not @t180)))) % 66.23/66.40 (step @p291 :rule chain_m_resolution :premises (@p290 @p288 @p237) :args (@t176 @t141 (@list @t179 @t180))) % 66.23/66.40 (step @p292 :rule cnf_or_pos :args (@t193)) % 66.23/66.40 (step @p293 :rule reordering :premises (@p292) :args ((or @t149 @t175 @t172 @t142 @t192 (not @t193)))) % 66.23/66.40 (step @p294 :rule chain_m_resolution :premises (@p293 @p168 @p291 @p220 @p147 @p70) :args (@t192 (@list false true true true false) (@list @t148 @t175 @t172 @t142 @t193))) % 66.23/66.40 (step @p295 :rule cnf_or_pos :args (@t199)) % 66.23/66.40 (step @p296 :rule reordering :premises (@p295) :args ((or @t198 @t197 (not @t199)))) % 66.23/66.40 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p69) :args (@t197 @t151 (@list @t192 @t199))) % 66.23/66.40 (step @p298 :rule refl :args (@t83)) % 66.23/66.40 (step @p299 :rule cong :premises (@p125 @p298) :args (@t84)) % 66.23/66.40 (step @p300 :rule cong :premises (@p148 @p299) :args (@t85)) % 66.23/66.40 (step @p301 :rule cong :premises (@p239 @p148) :args (@t86)) % 66.23/66.40 (step @p302 :rule cong :premises (@p301 @p160) :args (@t87)) % 66.23/66.40 (step @p303 :rule cong :premises (@p302) :args (@t88)) % 66.23/66.40 (step @p304 :rule nary_cong :premises (@p303 @p300) :args (@t89)) % 66.23/66.40 (step @p305 :rule cong :premises (@p304) :args (@t91)) % 66.23/66.40 (step @p306 :rule eq_resolve :premises (@p54 @p305)) % 66.23/66.40 (step @p307 :rule instantiate :premises (@p306) :args (@t200)) % 66.23/66.40 (step @p308 :rule instantiate :premises (@p51) :args (@t121)) % 66.23/66.40 (step @p309 :rule cnf_or_pos :args (@t202)) % 66.23/66.40 (step @p310 :rule reordering :premises (@p309) :args ((or @t198 @t201 (not @t202)))) % 66.23/66.40 (step @p311 :rule chain_m_resolution :premises (@p310 @p294 @p308) :args (@t201 @t151 (@list @t192 @t202))) % 66.23/66.40 (step @p312 :rule cnf_or_pos :args (@t207)) % 66.23/66.40 (step @p313 :rule reordering :premises (@p312) :args ((or @t206 @t205 (not @t207)))) % 66.23/66.40 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p307) :args (@t205 @t151 (@list @t201 @t207))) % 66.23/66.40 (step @p315 :rule instantiate :premises (@p68) :args ((@list @t203))) % 66.23/66.40 (step @p316 :rule refl :args (@t92)) % 66.23/66.40 (step @p317 :rule nary_cong :premises (@p303 @p316) :args (@t93)) % 66.23/66.40 (step @p318 :rule cong :premises (@p317) :args (@t94)) % 66.23/66.40 (step @p319 :rule eq_resolve :premises (@p55 @p318)) % 66.23/66.40 (step @p320 :rule instantiate :premises (@p319) :args (@t200)) % 66.23/66.40 (step @p321 :rule cnf_or_pos :args (@t209)) % 66.23/66.40 (step @p322 :rule reordering :premises (@p321) :args ((or @t206 @t208 (not @t209)))) % 66.23/66.40 (step @p323 :rule chain_m_resolution :premises (@p322 @p311 @p320) :args (@t208 @t151 (@list @t201 @t209))) % 66.23/66.40 (step @p324 :rule cnf_or_pos :args (@t214)) % 66.23/66.40 (step @p325 :rule reordering :premises (@p324) :args ((or @t213 @t212 (not @t214)))) % 66.23/66.40 (step @p326 :rule chain_m_resolution :premises (@p325 @p323 @p315) :args (@t212 @t151 (@list @t208 @t214))) % 66.23/66.40 (step @p327 :rule instantiate :premises (@p247) :args ((@list @t203 @t194))) % 66.23/66.40 (step @p328 :rule instantiate :premises (@p64) :args ((@list tptp.q @t194))) % 66.23/66.40 (step @p329 :rule instantiate :premises (@p52) :args (@t121)) % 66.23/66.40 (step @p330 :rule cnf_or_pos :args (@t216)) % 66.23/66.40 (step @p331 :rule reordering :premises (@p330) :args ((or @t198 @t215 (not @t216)))) % 66.23/66.40 (step @p332 :rule chain_m_resolution :premises (@p331 @p294 @p329) :args (@t215 @t151 (@list @t192 @t216))) % 66.23/66.40 (step @p333 :rule cnf_or_pos :args (@t219)) % 66.23/66.40 (step @p334 :rule reordering :premises (@p333) :args ((or @t218 @t217 (not @t219)))) % 66.23/66.40 (step @p335 :rule chain_m_resolution :premises (@p334 @p332 @p328) :args (@t217 @t151 (@list @t215 @t219))) % 66.23/66.40 (step @p336 :rule instantiate :premises (@p64) :args ((@list tptp.p @t203))) % 66.23/66.40 (step @p337 :rule cnf_or_pos :args (@t221)) % 66.23/66.40 (step @p338 :rule reordering :premises (@p337) :args ((or @t213 @t220 (not @t221)))) % 66.23/66.40 (step @p339 :rule chain_m_resolution :premises (@p338 @p323 @p336) :args (@t220 @t151 (@list @t208 @t221))) % 66.23/66.40 (step @p340 :rule cnf_or_pos :args (@t225)) % 66.23/66.40 (step @p341 :rule reordering :premises (@p340) :args ((or @t224 @t223 @t222 (not @t225)))) % 66.23/66.40 (step @p342 :rule chain_m_resolution :premises (@p341 @p339 @p335 @p327) :args (@t222 @t185 (@list @t220 @t217 @t225))) % 66.23/66.40 (step @p343 :rule refl :args (@t226)) % 66.23/66.40 (step @p344 :rule bool-double-not-elim :args (@t211)) % 66.23/66.40 (step @p345 :rule refl :args (@t227)) % 66.23/66.40 (step @p346 :rule refl :args (@t228)) % 66.23/66.40 (step @p347 :rule nary_cong :premises (@p346 @p345 @p344 @p343) :args ((or @t228 @t227 (not @t212) @t226))) % 66.23/66.40 (assume-push @p411 @t222) % 66.23/66.40 (assume-push @p412 @t205) % 66.23/66.40 (assume-push @p413 @t197) % 66.23/66.40 (assume-push @p414 @t212) % 66.23/66.40 (step @p189 :rule evaluate :args (@t167)) % 66.23/66.40 (step @p352 :rule true_intro :premises (@p411)) % 66.23/66.40 (step @p353 :rule refl :args (@t203)) % 66.23/66.40 (step @p354 :rule refl :args (@t194)) % 66.23/66.40 (step @p355 :rule cong :premises (@p412 @p354) :args (@t196)) % 66.23/66.40 (step @p356 :rule trans :premises (@p413 @p355)) % 66.23/66.40 (step @p357 :rule cong :premises (@p356 @p353) :args (@t210)) % 66.23/66.40 (step @p358 :rule cong :premises (@p357 @p160) :args (@t211)) % 66.23/66.40 (step @p359 :rule false_intro :premises (@p414)) % 66.23/66.40 (step @p360 :rule symm :premises (@p359)) % 66.23/66.40 (step @p361 :rule trans :premises (@p360 @p358 @p352)) % 66.23/66.40 (step @p362 false :rule eq_resolve :premises (@p361 @p189)) % 66.23/66.40 (step-pop @p415 :rule scope :premises (@p362)) % 66.23/66.40 (step-pop @p416 :rule scope :premises (@p415)) % 66.23/66.40 (step-pop @p417 :rule scope :premises (@p416)) % 66.23/66.40 (step-pop @p418 :rule scope :premises (@p417)) % 66.23/66.40 (step @p363 :rule process_scope :premises (@p418) :args (false)) % 66.23/66.40 (assume-push @p419 @t197) % 66.23/66.40 (assume-push @p420 @t205) % 66.23/66.40 (assume-push @p421 @t212) % 66.23/66.40 (assume-push @p422 @t222) % 66.23/66.40 (step @p372 :rule and_intro :premises (@p422 @p420 @p419 @p421)) % 66.23/66.40 (step-pop @p423 :rule scope :premises (@p372)) % 66.23/66.40 (step-pop @p424 :rule scope :premises (@p423)) % 66.23/66.40 (step-pop @p425 :rule scope :premises (@p424)) % 66.23/66.40 (step-pop @p426 :rule scope :premises (@p425)) % 66.23/66.40 (step @p373 :rule process_scope :premises (@p426) :args (@t229)) % 66.23/66.40 (step @p378 :rule implies_elim :premises (@p373)) % 66.23/66.40 (step @p379 :rule resolution :premises (@p378 @p363) :args (true @t229)) % 66.23/66.40 (step @p380 :rule not_and :premises (@p379)) % 66.23/66.40 (step @p381 :rule eq_resolve :premises (@p380 @p347)) % 66.23/66.40 (step @p382 false :rule chain_m_resolution :premises (@p381 @p342 @p326 @p314 @p297) :args (false (@list false true false false) (@list @t222 @t211 @t205 @t197))) % 66.23/66.40 ) % 66.23/66.40 % SZS output end Proof % 66.23/66.40 % cvc5 exiting %------------------------------------------------------------------------------