%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL094-1 : 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 : n022.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 63.86s 64.54s % Output : Proof 63.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL094-1 : TPTP v9.2.1. Released v2.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Jun 1 20:24:08 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----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... % 15.48/15.78 --- Run --no-e-matching --full-saturate-quant at 6... % 21.58/21.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.59/27.90 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.69/33.94 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.77/64.09 --- Run --trigger-sel=max --full-saturate-quant at 15... % 63.86/64.54 % SZS status Unsatisfiable % 63.86/64.54 % SZS output start Proof % 63.86/64.55 ( % 63.86/64.55 (declare-sort $$unsorted 0) % 63.86/64.55 (declare-const tptp.p $$unsorted) % 63.86/64.55 (declare-const tptp.q $$unsorted) % 63.86/64.55 (declare-const tptp.r $$unsorted) % 63.86/64.55 (declare-const tptp.ap_parcontractE_c1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.86/64.55 (declare-const tptp.ap_parcontractE_c4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.86/64.55 (declare-const tptp.ap_contractE_sk2q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.86/64.55 (declare-const tptp.ap_parcontractE_c2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.86/64.55 (declare-const tptp.combS $$unsorted) % 63.86/64.55 (declare-const tptp.ap_contractE_sk1p (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.86/64.55 (declare-const tptp.comb_app (-> $$unsorted $$unsorted $$unsorted)) % 63.86/64.55 (declare-const tptp.rtrancl (-> $$unsorted $$unsorted)) % 63.86/64.55 (declare-const tptp.ap_parcontractE_sk1q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.86/64.55 (declare-const tptp.ap_parcontractE_c3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.86/64.55 (declare-const tptp.combK $$unsorted) % 63.86/64.55 (declare-const tptp.comb $$unsorted) % 63.86/64.55 (declare-const tptp.ap_parcontractE_sk1p (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.86/64.55 (declare-const tptp.ap_contractE_c2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.86/64.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 63.86/64.55 (declare-const tptp.ap_parcontractE_sk2s (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.86/64.55 (declare-const tptp.ap_contractE_c4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.86/64.55 (declare-const tptp.ap_parcontractE_sk2q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.86/64.55 (declare-const tptp.contract $$unsorted) % 63.86/64.55 (declare-const tptp.parcontract $$unsorted) % 63.86/64.55 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 63.86/64.55 (declare-const tptp.ap_contractE_sk3q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.86/64.55 (declare-const tptp.ap_contractE_c3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.86/64.55 (declare-const tptp.ap_contractE_sk1q (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 63.86/64.55 (declare-const tptp.ap_contractE_c1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 63.86/64.55 (define @t1 () (@var "Q" $$unsorted)) % 63.86/64.55 (define @t2 () (@var "P" $$unsorted)) % 63.86/64.55 (define @t3 () (tptp.comb_app @t2 @t1)) % 63.86/64.55 (define @t4 () (@list @t2 @t1)) % 63.86/64.55 (define @t5 () (forall @t4 (not (= tptp.combS @t3)))) % 63.86/64.55 (define @t6 () (@var "P2" $$unsorted)) % 63.86/64.55 (define @t7 () (@var "P1" $$unsorted)) % 63.86/64.55 (define @t8 () (= @t7 @t6)) % 63.86/64.55 (define @t9 () (@var "Q2" $$unsorted)) % 63.86/64.55 (define @t10 () (@var "Q1" $$unsorted)) % 63.86/64.55 (define @t11 () (= (tptp.comb_app @t7 @t10) (tptp.comb_app @t6 @t9))) % 63.86/64.55 (define @t12 () (not @t11)) % 63.86/64.55 (define @t13 () (@list @t7 @t10 @t6 @t9)) % 63.86/64.55 (define @t14 () (= @t10 @t9)) % 63.86/64.55 (define @t15 () (tptp.member @t2 tptp.comb)) % 63.86/64.55 (define @t16 () (tptp.member @t3 tptp.comb)) % 63.86/64.55 (define @t17 () (not @t16)) % 63.86/64.55 (define @t18 () (tptp.member @t1 tptp.comb)) % 63.86/64.55 (define @t19 () (tptp.member tptp.combK tptp.comb)) % 63.86/64.55 (define @t20 () (tptp.member tptp.combS tptp.comb)) % 63.86/64.55 (define @t21 () (not @t18)) % 63.86/64.55 (define @t22 () (not @t15)) % 63.86/64.55 (define @t23 () (@var "A" $$unsorted)) % 63.86/64.55 (define @t24 () (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK @t2) @t1) @t2)) % 63.86/64.55 (define @t25 () (@var "R" $$unsorted)) % 63.86/64.55 (define @t26 () (tptp.comb_app @t2 @t25)) % 63.86/64.55 (define @t27 () (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS @t2) @t1) @t25) (tptp.comb_app @t26 (tptp.comb_app @t1 @t25)))) % 63.86/64.55 (define @t28 () (tptp.member @t25 tptp.comb)) % 63.86/64.55 (define @t29 () (not @t28)) % 63.86/64.55 (define @t30 () (@list @t2 @t1 @t25)) % 63.86/64.55 (define @t31 () (tptp.ap_contractE_c4 @t2 @t1 @t25)) % 63.86/64.55 (define @t32 () (tptp.ap_contractE_c3 @t2 @t1 @t25)) % 63.86/64.55 (define @t33 () (tptp.ap_contractE_c2 @t2 @t1 @t25)) % 63.86/64.55 (define @t34 () (tptp.ap_contractE_c1 @t2 @t1 @t25)) % 63.86/64.55 (define @t35 () (tptp.pair @t3 @t25)) % 63.86/64.55 (define @t36 () (not @t34)) % 63.86/64.55 (define @t37 () (= @t2 (tptp.comb_app tptp.combK @t25))) % 63.86/64.55 (define @t38 () (tptp.ap_contractE_sk1p @t2 @t1 @t25)) % 63.86/64.55 (define @t39 () (not @t33)) % 63.86/64.55 (define @t40 () (tptp.ap_contractE_sk1q @t2 @t1 @t25)) % 63.86/64.55 (define @t41 () (tptp.ap_contractE_sk2q @t2 @t1 @t25)) % 63.86/64.55 (define @t42 () (not @t32)) % 63.86/64.55 (define @t43 () (tptp.ap_contractE_sk3q @t2 @t1 @t25)) % 63.86/64.55 (define @t44 () (not @t31)) % 63.86/64.55 (define @t45 () (tptp.pair tptp.combK @t25)) % 63.86/64.55 (define @t46 () (@list @t25)) % 63.86/64.55 (define @t47 () (tptp.pair tptp.combS @t25)) % 63.86/64.55 (define @t48 () (@var "S" $$unsorted)) % 63.86/64.55 (define @t49 () (not (tptp.member @t45 tptp.parcontract))) % 63.86/64.55 (define @t50 () (not (tptp.member @t47 tptp.parcontract))) % 63.86/64.55 (define @t51 () (or @t50 (= @t25 tptp.combS))) % 63.86/64.55 (define @t52 () (forall @t46 @t51)) % 63.86/64.55 (define @t53 () (tptp.ap_parcontractE_c4 @t2 @t1 @t25)) % 63.86/64.55 (define @t54 () (tptp.ap_parcontractE_c3 @t2 @t1 @t25)) % 63.86/64.55 (define @t55 () (tptp.ap_parcontractE_c2 @t2 @t1 @t25)) % 63.86/64.55 (define @t56 () (tptp.ap_parcontractE_c1 @t2 @t1 @t25)) % 63.86/64.55 (define @t57 () (not @t56)) % 63.86/64.55 (define @t58 () (or @t57 (= @t25 @t3))) % 63.86/64.55 (define @t59 () (forall @t30 @t58)) % 63.86/64.55 (define @t60 () (not @t55)) % 63.86/64.55 (define @t61 () (tptp.ap_parcontractE_sk1p @t2 @t1 @t25)) % 63.86/64.55 (define @t62 () (not @t54)) % 63.86/64.55 (define @t63 () (tptp.ap_parcontractE_sk1q @t2 @t1 @t25)) % 63.86/64.55 (define @t64 () (tptp.ap_parcontractE_sk2q @t2 @t1 @t25)) % 63.86/64.55 (define @t65 () (not @t53)) % 63.86/64.55 (define @t66 () (tptp.ap_parcontractE_sk2s @t2 @t1 @t25)) % 63.86/64.55 (define @t67 () (tptp.comb_app tptp.combS tptp.p)) % 63.86/64.55 (define @t68 () (tptp.comb_app @t67 tptp.q)) % 63.86/64.55 (define @t69 () (tptp.member (tptp.pair @t68 tptp.r) tptp.parcontract)) % 63.86/64.55 (define @t70 () (@var "QP" $$unsorted)) % 63.86/64.55 (define @t71 () (@var "PP" $$unsorted)) % 63.86/64.55 (define @t72 () (tptp.ap_parcontractE_sk2q @t67 tptp.q tptp.r)) % 63.86/64.55 (define @t73 () (@list tptp.combS tptp.p @t72)) % 63.86/64.55 (define @t74 () (tptp.ap_parcontractE_sk2q tptp.combS tptp.p @t72)) % 63.86/64.55 (define @t75 () (tptp.member (tptp.pair tptp.combS @t74) tptp.parcontract)) % 63.86/64.55 (define @t76 () (tptp.ap_parcontractE_c4 tptp.combS tptp.p @t72)) % 63.86/64.55 (define @t77 () (not @t76)) % 63.86/64.55 (define @t78 () (or @t77 @t75)) % 63.86/64.55 (define @t79 () (tptp.ap_parcontractE_sk2s tptp.combS tptp.p @t72)) % 63.86/64.55 (define @t80 () (tptp.member (tptp.pair tptp.p @t79) tptp.parcontract)) % 63.86/64.55 (define @t81 () (or @t77 @t80)) % 63.86/64.55 (define @t82 () (tptp.comb_app @t74 @t79)) % 63.86/64.55 (define @t83 () (= @t72 @t82)) % 63.86/64.55 (define @t84 () (or @t77 @t83)) % 63.86/64.55 (define @t85 () (= tptp.combS @t74)) % 63.86/64.55 (define @t86 () (not @t75)) % 63.86/64.55 (define @t87 () (or @t86 @t85)) % 63.86/64.55 (define @t88 () (@list @t67 tptp.q tptp.r)) % 63.86/64.55 (define @t89 () (tptp.ap_parcontractE_sk1q @t67 tptp.q tptp.r)) % 63.86/64.55 (define @t90 () (tptp.ap_parcontractE_sk1p @t67 tptp.q tptp.r)) % 63.86/64.55 (define @t91 () (tptp.comb_app tptp.combS @t90)) % 63.86/64.55 (define @t92 () (= tptp.combS @t91)) % 63.86/64.55 (define @t93 () (= @t67 (tptp.comb_app @t91 @t89))) % 63.86/64.55 (define @t94 () (not @t93)) % 63.86/64.55 (define @t95 () (or @t94 @t92)) % 63.86/64.55 (define @t96 () (@list true false)) % 63.86/64.55 (define @t97 () (tptp.ap_parcontractE_c3 @t67 tptp.q tptp.r)) % 63.86/64.55 (define @t98 () (not @t97)) % 63.86/64.55 (define @t99 () (or @t98 @t93)) % 63.86/64.55 (define @t100 () (= tptp.combS tptp.combK)) % 63.86/64.55 (define @t101 () (= @t67 (tptp.comb_app tptp.combK tptp.r))) % 63.86/64.55 (define @t102 () (not @t101)) % 63.86/64.55 (define @t103 () (or @t102 @t100)) % 63.86/64.55 (define @t104 () (tptp.ap_parcontractE_c2 @t67 tptp.q tptp.r)) % 63.86/64.55 (define @t105 () (not @t104)) % 63.86/64.55 (define @t106 () (or @t105 @t101)) % 63.86/64.55 (define @t107 () (tptp.ap_parcontractE_c1 @t67 tptp.q tptp.r)) % 63.86/64.55 (define @t108 () (not @t107)) % 63.86/64.55 (define @t109 () (or @t108 (= @t68 tptp.r))) % 63.86/64.55 (define @t110 () (forall @t30 (or @t57 (= @t3 @t25)))) % 63.86/64.55 (define @t111 () (= tptp.r @t68)) % 63.86/64.55 (define @t112 () (or @t108 @t111)) % 63.86/64.55 (define @t113 () (tptp.member @t68 tptp.comb)) % 63.86/64.55 (define @t114 () (or @t108 @t113)) % 63.86/64.55 (define @t115 () (@list @t67 tptp.q)) % 63.86/64.55 (define @t116 () (tptp.member @t67 tptp.comb)) % 63.86/64.55 (define @t117 () (not @t113)) % 63.86/64.55 (define @t118 () (or @t117 @t116)) % 63.86/64.55 (define @t119 () (tptp.member tptp.q tptp.comb)) % 63.86/64.55 (define @t120 () (or @t117 @t119)) % 63.86/64.55 (define @t121 () (tptp.member tptp.p tptp.comb)) % 63.86/64.55 (define @t122 () (not @t116)) % 63.86/64.55 (define @t123 () (or @t122 @t121)) % 63.86/64.55 (define @t124 () (tptp.member (tptp.pair tptp.q tptp.q) tptp.parcontract)) % 63.86/64.55 (define @t125 () (not @t119)) % 63.86/64.55 (define @t126 () (or @t125 @t124)) % 63.86/64.55 (define @t127 () (tptp.member (tptp.pair tptp.p tptp.p) tptp.parcontract)) % 63.86/64.55 (define @t128 () (not @t121)) % 63.86/64.55 (define @t129 () (or @t128 @t127)) % 63.86/64.55 (define @t130 () (not @t124)) % 63.86/64.55 (define @t131 () (not @t127)) % 63.86/64.55 (define @t132 () (not @t111)) % 63.86/64.55 (define @t133 () (or @t132 @t131 @t130)) % 63.86/64.55 (define @t134 () (tptp.ap_parcontractE_c4 @t67 tptp.q tptp.r)) % 63.86/64.55 (define @t135 () (not @t69)) % 63.86/64.55 (define @t136 () (or @t135 @t107 @t104 @t97 @t134)) % 63.86/64.55 (define @t137 () (@list false true true true false)) % 63.86/64.55 (define @t138 () (tptp.ap_parcontractE_sk2s @t67 tptp.q tptp.r)) % 63.86/64.55 (define @t139 () (tptp.member (tptp.pair tptp.q @t138) tptp.parcontract)) % 63.86/64.55 (define @t140 () (not @t134)) % 63.86/64.55 (define @t141 () (or @t140 @t139)) % 63.86/64.55 (define @t142 () (@list false false)) % 63.86/64.55 (define @t143 () (not @t139)) % 63.86/64.55 (define @t144 () (not @t80)) % 63.86/64.55 (define @t145 () (= tptp.r (tptp.comb_app (tptp.comb_app tptp.combS @t79) @t138))) % 63.86/64.55 (define @t146 () (not @t145)) % 63.86/64.55 (define @t147 () (or @t146 @t144 @t143)) % 63.86/64.55 (define @t148 () (tptp.comb_app @t72 @t138)) % 63.86/64.55 (define @t149 () (= tptp.r @t148)) % 63.86/64.55 (define @t150 () (or @t140 @t149)) % 63.86/64.55 (define @t151 () (and @t149 @t83 @t85)) % 63.86/64.55 (define @t152 () (= tptp.combS (tptp.comb_app tptp.combK @t72))) % 63.86/64.55 (define @t153 () (tptp.ap_parcontractE_c2 tptp.combS tptp.p @t72)) % 63.86/64.55 (define @t154 () (not @t153)) % 63.86/64.55 (define @t155 () (or @t154 @t152)) % 63.86/64.55 (define @t156 () (or @t154 @t121)) % 63.86/64.55 (define @t157 () (tptp.ap_parcontractE_c3 tptp.combS tptp.p @t72)) % 63.86/64.55 (define @t158 () (not @t157)) % 63.86/64.55 (define @t159 () (or @t158 @t121)) % 63.86/64.55 (define @t160 () (tptp.ap_parcontractE_c1 tptp.combS tptp.p @t72)) % 63.86/64.55 (define @t161 () (not @t160)) % 63.86/64.55 (define @t162 () (or @t161 @t116)) % 63.86/64.55 (define @t163 () (tptp.member (tptp.pair @t67 @t72) tptp.parcontract)) % 63.86/64.55 (define @t164 () (or @t140 @t163)) % 63.86/64.55 (define @t165 () (not @t163)) % 63.86/64.55 (define @t166 () (or @t165 @t160 @t153 @t157 @t76)) % 63.86/64.55 (define @t167 () (= tptp.r (tptp.comb_app @t67 @t138))) % 63.86/64.55 (define @t168 () (not @t167)) % 63.86/64.55 (define @t169 () (or @t168 @t131 @t143)) % 63.86/64.55 (define @t170 () (= @t67 @t72)) % 63.86/64.55 (define @t171 () (and @t149 @t170)) % 63.86/64.55 (define @t172 () (or @t161 @t170)) % 63.86/64.55 (define @t173 () (tptp.ap_parcontractE_sk1q tptp.combS tptp.p @t72)) % 63.86/64.55 (define @t174 () (tptp.comb_app tptp.combS (tptp.ap_parcontractE_sk1p tptp.combS tptp.p @t72))) % 63.86/64.55 (define @t175 () (= tptp.combS (tptp.comb_app @t174 @t173))) % 63.86/64.55 (define @t176 () (or @t158 @t175)) % 63.86/64.55 (assume @p1 (not (= tptp.combK tptp.combS))) % 63.86/64.55 (assume @p2 (forall @t4 (not (= tptp.combK @t3)))) % 63.86/64.55 (assume @p3 @t5) % 63.86/64.55 (assume @p4 (forall @t13 (or @t12 @t8))) % 63.86/64.55 (assume @p5 (forall @t13 (or @t12 @t14))) % 63.86/64.55 (assume @p6 (forall (@list @t7 @t6 @t10 @t9) (or (not @t8) (not @t14) @t11))) % 63.86/64.55 (assume @p7 (forall @t4 (or @t17 @t15))) % 63.86/64.55 (assume @p8 (forall @t4 (or @t17 @t18))) % 63.86/64.55 (assume @p9 @t19) % 63.86/64.55 (assume @p10 @t20) % 63.86/64.55 (assume @p11 (forall @t4 (or @t22 @t21 @t16))) % 63.86/64.55 (assume @p12 (forall (@list @t23) (or (not (tptp.member @t23 tptp.comb)) (tptp.member (tptp.pair @t23 @t23) (tptp.rtrancl tptp.contract))))) % 63.86/64.55 (assume @p13 (forall @t4 (or @t22 @t21 (tptp.member @t24 tptp.contract)))) % 63.86/64.55 (assume @p14 (forall @t30 (or @t22 @t21 @t29 (tptp.member @t27 tptp.contract)))) % 63.86/64.55 (assume @p15 (forall @t30 (or (not (tptp.member @t35 tptp.contract)) @t34 @t33 @t32 @t31))) % 63.86/64.55 (assume @p16 (forall @t30 (or @t36 @t28))) % 63.86/64.55 (assume @p17 (forall @t30 (or @t36 @t18))) % 63.86/64.55 (assume @p18 (forall @t30 (or @t36 @t37))) % 63.86/64.55 (assume @p19 (forall @t30 (or @t39 (tptp.member @t38 tptp.comb)))) % 63.86/64.55 (assume @p20 (forall @t30 (or @t39 (tptp.member @t40 tptp.comb)))) % 63.86/64.55 (assume @p21 (forall @t30 (or @t39 @t18))) % 63.86/64.55 (assume @p22 (forall @t30 (or @t39 (= @t25 (tptp.comb_app (tptp.comb_app @t38 @t1) (tptp.comb_app @t40 @t1)))))) % 63.86/64.55 (assume @p23 (forall @t30 (or @t39 (= @t2 (tptp.comb_app (tptp.comb_app tptp.combS @t38) @t40))))) % 63.86/64.55 (assume @p24 (forall @t30 (or @t42 (tptp.member (tptp.pair @t2 @t41) tptp.contract)))) % 63.86/64.55 (assume @p25 (forall @t30 (or @t42 @t18))) % 63.86/64.55 (assume @p26 (forall @t30 (or @t42 (= @t25 (tptp.comb_app @t41 @t1))))) % 63.86/64.55 (assume @p27 (forall @t30 (or @t44 (tptp.member (tptp.pair @t1 @t43) tptp.contract)))) % 63.86/64.55 (assume @p28 (forall @t30 (or @t44 @t15))) % 63.86/64.55 (assume @p29 (forall @t30 (or @t44 (= @t25 (tptp.comb_app @t2 @t43))))) % 63.86/64.55 (assume @p30 (forall @t46 (not (tptp.member @t45 tptp.contract)))) % 63.86/64.55 (assume @p31 (forall @t46 (not (tptp.member @t47 tptp.contract)))) % 63.86/64.55 (assume @p32 (forall (@list @t2) (or @t22 (tptp.member (tptp.pair @t2 @t2) tptp.parcontract)))) % 63.86/64.55 (assume @p33 (forall @t4 (or @t22 @t21 (tptp.member @t24 tptp.parcontract)))) % 63.86/64.55 (assume @p34 (forall @t30 (or @t22 @t21 @t29 (tptp.member @t27 tptp.parcontract)))) % 63.86/64.55 (assume @p35 (forall (@list @t2 @t1 @t25 @t48) (or (not (tptp.member (tptp.pair @t2 @t1) tptp.parcontract)) (not (tptp.member (tptp.pair @t25 @t48) tptp.parcontract)) (tptp.member (tptp.pair @t26 (tptp.comb_app @t1 @t48)) tptp.parcontract)))) % 63.86/64.55 (assume @p36 (forall @t46 (or @t49 @t19))) % 63.86/64.55 (assume @p37 (forall @t46 (or @t49 (= @t25 tptp.combK)))) % 63.86/64.55 (assume @p38 (forall @t46 (or @t50 @t20))) % 63.86/64.55 (assume @p39 @t52) % 63.86/64.55 (assume @p40 (forall @t30 (or (not (tptp.member @t35 tptp.parcontract)) @t56 @t55 @t54 @t53))) % 63.86/64.55 (assume @p41 (forall @t30 (or @t57 @t16))) % 63.86/64.55 (assume @p42 @t59) % 63.86/64.55 (assume @p43 (forall @t30 (or @t60 @t28))) % 63.86/64.55 (assume @p44 (forall @t30 (or @t60 @t18))) % 63.86/64.55 (assume @p45 (forall @t30 (or @t60 @t37))) % 63.86/64.55 (assume @p46 (forall @t30 (or @t62 (tptp.member @t61 tptp.comb)))) % 63.86/64.55 (assume @p47 (forall @t30 (or @t62 (tptp.member @t63 tptp.comb)))) % 63.86/64.55 (assume @p48 (forall @t30 (or @t62 @t18))) % 63.86/64.55 (assume @p49 (forall @t30 (or @t62 (= @t25 (tptp.comb_app (tptp.comb_app @t61 @t1) (tptp.comb_app @t63 @t1)))))) % 63.86/64.55 (assume @p50 (forall @t30 (or @t62 (= @t2 (tptp.comb_app (tptp.comb_app tptp.combS @t61) @t63))))) % 63.86/64.55 (assume @p51 (forall @t30 (or @t65 (tptp.member (tptp.pair @t2 @t64) tptp.parcontract)))) % 63.86/64.55 (assume @p52 (forall @t30 (or @t65 (tptp.member (tptp.pair @t1 @t66) tptp.parcontract)))) % 63.86/64.55 (assume @p53 (forall @t30 (or @t65 (= @t25 (tptp.comb_app @t64 @t66))))) % 63.86/64.55 (assume @p54 @t69) % 63.86/64.55 (assume @p55 (forall (@list @t71 @t70) (or (not (= tptp.r (tptp.comb_app (tptp.comb_app tptp.combS @t71) @t70))) (not (tptp.member (tptp.pair tptp.p @t71) tptp.parcontract)) (not (tptp.member (tptp.pair tptp.q @t70) tptp.parcontract))))) % 63.86/64.55 (step @p56 :rule instantiate :premises (@p50) :args (@t73)) % 63.86/64.55 (step @p57 :rule instantiate :premises (@p40) :args (@t73)) % 63.86/64.55 (step @p58 :rule instantiate :premises (@p51) :args (@t73)) % 63.86/64.55 (step @p59 :rule cnf_or_pos :args (@t78)) % 63.86/64.55 (step @p60 :rule reordering :premises (@p59) :args ((or @t77 @t75 (not @t78)))) % 63.86/64.55 (step @p61 :rule instantiate :premises (@p52) :args (@t73)) % 63.86/64.55 (step @p62 :rule cnf_or_pos :args (@t81)) % 63.86/64.55 (step @p63 :rule reordering :premises (@p62) :args ((or @t77 @t80 (not @t81)))) % 63.86/64.55 (step @p64 :rule instantiate :premises (@p53) :args (@t73)) % 63.86/64.55 (step @p65 :rule cnf_or_pos :args (@t84)) % 63.86/64.55 (step @p66 :rule reordering :premises (@p65) :args ((or @t77 @t83 (not @t84)))) % 63.86/64.55 (step @p67 :rule eq-symm :args (@t25 tptp.combS)) % 63.86/64.55 (step @p68 :rule refl :args (@t50)) % 63.86/64.55 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t51)) % 63.86/64.55 (step @p70 :rule cong :premises (@p69) :args (@t52)) % 63.86/64.55 (step @p71 :rule eq_resolve :premises (@p39 @p70)) % 63.86/64.55 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t74))) % 63.86/64.55 (step @p73 :rule cnf_or_pos :args (@t87)) % 63.86/64.55 (step @p74 :rule reordering :premises (@p73) :args ((or @t86 @t85 (not @t87)))) % 63.86/64.55 (step @p75 :rule instantiate :premises (@p52) :args (@t88)) % 63.86/64.55 (step @p76 :rule instantiate :premises (@p40) :args (@t88)) % 63.86/64.55 (step @p77 :rule instantiate :premises (@p50) :args (@t88)) % 63.86/64.55 (step @p78 :rule instantiate :premises (@p4) :args ((@list tptp.combS tptp.p @t91 @t89))) % 63.86/64.55 (step @p79 :rule instantiate :premises (@p3) :args ((@list tptp.combS @t90))) % 63.86/64.55 (step @p80 :rule cnf_or_pos :args (@t95)) % 63.86/64.55 (step @p81 :rule reordering :premises (@p80) :args ((or @t94 @t92 (not @t95)))) % 63.86/64.55 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p78) :args (@t94 @t96 (@list @t92 @t95))) % 63.86/64.55 (step @p83 :rule cnf_or_pos :args (@t99)) % 63.86/64.55 (step @p84 :rule reordering :premises (@p83) :args ((or @t98 @t93 (not @t99)))) % 63.86/64.55 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p77) :args (@t98 @t96 (@list @t93 @t99))) % 63.86/64.55 (step @p86 :rule instantiate :premises (@p45) :args (@t88)) % 63.86/64.55 (step @p87 :rule instantiate :premises (@p4) :args ((@list tptp.combS tptp.p tptp.combK tptp.r))) % 63.86/64.55 (step @p88 :rule symm :premises (@p1)) % 63.86/64.55 (step @p89 :rule cnf_or_pos :args (@t103)) % 63.86/64.55 (step @p90 :rule reordering :premises (@p89) :args ((or @t100 @t102 (not @t103)))) % 63.86/64.55 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p87) :args (@t102 @t96 (@list @t100 @t103))) % 63.86/64.55 (step @p92 :rule cnf_or_pos :args (@t106)) % 63.86/64.55 (step @p93 :rule reordering :premises (@p92) :args ((or @t105 @t101 (not @t106)))) % 63.86/64.55 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p86) :args (@t105 @t96 (@list @t101 @t106))) % 63.86/64.55 (step @p95 :rule eq-symm :args (@t25 @t3)) % 63.86/64.55 (step @p96 :rule refl :args (@t57)) % 63.86/64.55 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t58)) % 63.86/64.55 (step @p98 :rule cong :premises (@p97) :args (@t59)) % 63.86/64.55 (step @p99 :rule eq_resolve :premises (@p42 @p98)) % 63.86/64.55 (step @p100 :rule eq-symm :args (@t68 tptp.r)) % 63.86/64.55 (step @p101 :rule refl :args (@t108)) % 63.86/64.55 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t109)) % 63.86/64.55 (step @p103 :rule refl :args (@t110)) % 63.86/64.55 (step @p104 :rule cong :premises (@p103 @p102) :args ((=> @t110 @t109))) % 63.86/64.55 (assume-push @p235 @t110) % 63.86/64.55 (step @p106 :rule instantiate :premises (@p99) :args (@t88)) % 63.86/64.55 (step-pop @p236 :rule scope :premises (@p106)) % 63.86/64.55 (step @p107 :rule process_scope :premises (@p236) :args (@t109)) % 63.86/64.55 (step @p109 :rule eq_resolve :premises (@p107 @p104)) % 63.86/64.55 (step @p110 :rule implies_elim :premises (@p109)) % 63.86/64.55 (step @p111 :rule chain_m_resolution :premises (@p110 @p99) :args (@t112 (@list false) (@list @t110))) % 63.86/64.55 (step @p112 :rule cnf_or_pos :args (@t112)) % 63.86/64.55 (step @p113 :rule reordering :premises (@p112) :args ((or @t111 @t108 (not @t112)))) % 63.86/64.55 (step @p114 :rule instantiate :premises (@p41) :args (@t88)) % 63.86/64.55 (step @p115 :rule cnf_or_pos :args (@t114)) % 63.86/64.55 (step @p116 :rule reordering :premises (@p115) :args ((or @t108 @t113 (not @t114)))) % 63.86/64.55 (step @p117 :rule instantiate :premises (@p7) :args (@t115)) % 63.86/64.55 (step @p118 :rule cnf_or_pos :args (@t118)) % 63.86/64.55 (step @p119 :rule reordering :premises (@p118) :args ((or @t117 @t116 (not @t118)))) % 63.86/64.55 (step @p120 :rule instantiate :premises (@p8) :args (@t115)) % 63.86/64.55 (step @p121 :rule cnf_or_pos :args (@t120)) % 63.86/64.55 (step @p122 :rule reordering :premises (@p121) :args ((or @t117 @t119 (not @t120)))) % 63.86/64.55 (step @p123 :rule instantiate :premises (@p8) :args ((@list tptp.combS tptp.p))) % 63.86/64.55 (step @p124 :rule cnf_or_pos :args (@t123)) % 63.86/64.55 (step @p125 :rule reordering :premises (@p124) :args ((or @t121 @t122 (not @t123)))) % 63.86/64.55 (step @p126 :rule instantiate :premises (@p32) :args ((@list tptp.q))) % 63.86/64.55 (step @p127 :rule cnf_or_pos :args (@t126)) % 63.86/64.55 (step @p128 :rule reordering :premises (@p127) :args ((or @t124 @t125 (not @t126)))) % 63.86/64.55 (step @p129 :rule instantiate :premises (@p32) :args ((@list tptp.p))) % 63.86/64.55 (step @p130 :rule cnf_or_pos :args (@t129)) % 63.86/64.55 (step @p131 :rule reordering :premises (@p130) :args ((or @t127 @t128 (not @t129)))) % 63.86/64.55 (step @p132 :rule instantiate :premises (@p55) :args ((@list tptp.p tptp.q))) % 63.86/64.55 (step @p133 :rule cnf_or_pos :args (@t133)) % 63.86/64.55 (step @p134 :rule reordering :premises (@p133) :args ((or @t132 @t131 @t130 (not @t133)))) % 63.86/64.55 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p131 @p129 @p128 @p126 @p125 @p123 @p122 @p120 @p119 @p117 @p116 @p114 @p113 @p111) :args (@t108 (@list false false false false false false false false false false false false false false false) (@list @t133 @t127 @t129 @t124 @t126 @t121 @t123 @t119 @t120 @t116 @t118 @t113 @t114 @t111 @t112))) % 63.86/64.55 (step @p136 :rule cnf_or_pos :args (@t136)) % 63.86/64.55 (step @p137 :rule reordering :premises (@p136) :args ((or @t135 @t107 @t104 @t97 @t134 (not @t136)))) % 63.86/64.55 (step @p138 :rule chain_m_resolution :premises (@p137 @p54 @p135 @p94 @p85 @p76) :args (@t134 @t137 (@list @t69 @t107 @t104 @t97 @t136))) % 63.86/64.55 (step @p139 :rule cnf_or_pos :args (@t141)) % 63.86/64.55 (step @p140 :rule reordering :premises (@p139) :args ((or @t140 @t139 (not @t141)))) % 63.86/64.55 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p75) :args (@t139 @t142 (@list @t134 @t141))) % 63.86/64.55 (step @p142 :rule instantiate :premises (@p55) :args ((@list @t79 @t138))) % 63.86/64.55 (step @p143 :rule cnf_or_pos :args (@t147)) % 63.86/64.55 (step @p144 :rule reordering :premises (@p143) :args ((or @t143 @t144 @t146 (not @t147)))) % 63.86/64.55 (step @p145 :rule instantiate :premises (@p53) :args (@t88)) % 63.86/64.55 (step @p146 :rule cnf_or_pos :args (@t150)) % 63.86/64.55 (step @p147 :rule reordering :premises (@p146) :args ((or @t140 @t149 (not @t150)))) % 63.86/64.55 (step @p148 :rule chain_m_resolution :premises (@p147 @p138 @p145) :args (@t149 @t142 (@list @t134 @t150))) % 63.86/64.55 (assume-push @p237 @t149) % 63.86/64.55 (assume-push @p238 @t83) % 63.86/64.55 (assume-push @p239 @t85) % 63.86/64.55 (assume-push @p240 @t85) % 63.86/64.55 (assume-push @p241 @t83) % 63.86/64.55 (assume-push @p242 @t149) % 63.86/64.55 (step @p155 :rule refl :args (@t138)) % 63.86/64.55 (step @p156 :rule refl :args (@t79)) % 63.86/64.55 (step @p157 :rule symm :premises (@p239)) % 63.86/64.55 (step @p158 :rule cong :premises (@p157 @p156) :args (@t82)) % 63.86/64.55 (step @p159 :rule trans :premises (@p238 @p158)) % 63.86/64.55 (step @p160 :rule cong :premises (@p159 @p155) :args (@t148)) % 63.86/64.55 (step @p161 :rule trans :premises (@p148 @p160)) % 63.86/64.55 (step-pop @p243 :rule scope :premises (@p161)) % 63.86/64.55 (step-pop @p244 :rule scope :premises (@p243)) % 63.86/64.55 (step-pop @p245 :rule scope :premises (@p244)) % 63.86/64.55 (step @p162 :rule process_scope :premises (@p245) :args (@t145)) % 63.86/64.55 (step @p166 :rule and_intro :premises (@p239 @p238 @p148)) % 63.86/64.55 (step @p167 :rule modus_ponens :premises (@p166 @p162)) % 63.86/64.55 (step-pop @p246 :rule scope :premises (@p167)) % 63.86/64.55 (step-pop @p247 :rule scope :premises (@p246)) % 63.86/64.55 (step-pop @p248 :rule scope :premises (@p247)) % 63.86/64.55 (step @p168 :rule process_scope :premises (@p248) :args (@t145)) % 63.86/64.55 (step @p172 :rule implies_elim :premises (@p168)) % 63.86/64.55 (step @p173 :rule cnf_and_neg :args (@t151)) % 63.86/64.55 (step @p174 :rule resolution :premises (@p173 @p172) :args (true @t151)) % 63.86/64.55 (step @p175 :rule chain_m_resolution :premises (@p174 @p148 @p144 @p142 @p141 @p74 @p72 @p66 @p64 @p63 @p61 @p60 @p58) :args (@t77 (@list false true false false false false false false false false false false) (@list @t149 @t145 @t147 @t139 @t85 @t87 @t83 @t84 @t80 @t81 @t75 @t78))) % 63.86/64.55 (step @p176 :rule instantiate :premises (@p45) :args (@t73)) % 63.86/64.55 (step @p177 :rule instantiate :premises (@p3) :args ((@list tptp.combK @t72))) % 63.86/64.55 (step @p178 :rule cnf_or_pos :args (@t155)) % 63.86/64.55 (step @p179 :rule reordering :premises (@p178) :args ((or @t154 @t152 (not @t155)))) % 63.86/64.55 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p176) :args (@t154 @t96 (@list @t152 @t155))) % 63.86/64.55 (step @p181 :rule instantiate :premises (@p99) :args (@t73)) % 63.86/64.55 (step @p182 :rule instantiate :premises (@p55) :args ((@list tptp.p @t138))) % 63.86/64.55 (step @p183 :rule instantiate :premises (@p44) :args (@t73)) % 63.86/64.55 (step @p184 :rule cnf_or_pos :args (@t156)) % 63.86/64.55 (step @p185 :rule reordering :premises (@p184) :args ((or @t121 @t154 (not @t156)))) % 63.86/64.55 (step @p186 :rule instantiate :premises (@p48) :args (@t73)) % 63.86/64.55 (step @p187 :rule cnf_or_pos :args (@t159)) % 63.86/64.55 (step @p188 :rule reordering :premises (@p187) :args ((or @t121 @t158 (not @t159)))) % 63.86/64.55 (step @p189 :rule instantiate :premises (@p41) :args (@t73)) % 63.86/64.55 (step @p190 :rule cnf_or_pos :args (@t162)) % 63.86/64.55 (step @p191 :rule reordering :premises (@p190) :args ((or @t116 @t161 (not @t162)))) % 63.86/64.55 (step @p192 :rule instantiate :premises (@p51) :args (@t88)) % 63.86/64.55 (step @p193 :rule cnf_or_pos :args (@t164)) % 63.86/64.55 (step @p194 :rule reordering :premises (@p193) :args ((or @t140 @t163 (not @t164)))) % 63.86/64.55 (step @p195 :rule chain_m_resolution :premises (@p194 @p138 @p192) :args (@t163 @t142 (@list @t134 @t164))) % 63.86/64.55 (step @p196 :rule cnf_or_pos :args (@t166)) % 63.86/64.55 (step @p197 :rule reordering :premises (@p196) :args ((or @t165 @t160 @t153 @t157 @t76 (not @t166)))) % 63.86/64.55 (step @p198 :rule chain_m_resolution :premises (@p197 @p175 @p57 @p195 @p191 @p189 @p188 @p186 @p185 @p183 @p125 @p123) :args (@t121 (@list true false false true false true false true false true false) (@list @t76 @t166 @t163 @t160 @t162 @t157 @t159 @t153 @t156 @t116 @t123))) % 63.86/64.55 (step @p199 :rule chain_m_resolution :premises (@p131 @p198 @p129) :args (@t127 @t142 (@list @t121 @t129))) % 63.86/64.55 (step @p200 :rule cnf_or_pos :args (@t169)) % 63.86/64.55 (step @p201 :rule reordering :premises (@p200) :args ((or @t131 @t143 @t168 (not @t169)))) % 63.86/64.55 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p141 @p182) :args (@t168 (@list false false false) (@list @t127 @t139 @t169))) % 63.86/64.55 (assume-push @p249 @t149) % 63.86/64.55 (assume-push @p250 @t170) % 63.86/64.55 (assume-push @p251 @t170) % 63.86/64.55 (assume-push @p252 @t149) % 63.86/64.55 (step @p155 :rule refl :args (@t138)) % 63.86/64.55 (step @p207 :rule symm :premises (@p250)) % 63.86/64.55 (step @p208 :rule cong :premises (@p207 @p155) :args (@t148)) % 63.86/64.55 (step @p209 :rule trans :premises (@p148 @p208)) % 63.86/64.55 (step-pop @p253 :rule scope :premises (@p209)) % 63.86/64.55 (step-pop @p254 :rule scope :premises (@p253)) % 63.86/64.55 (step @p210 :rule process_scope :premises (@p254) :args (@t167)) % 63.86/64.55 (step @p213 :rule and_intro :premises (@p250 @p148)) % 63.86/64.55 (step @p214 :rule modus_ponens :premises (@p213 @p210)) % 63.86/64.55 (step-pop @p255 :rule scope :premises (@p214)) % 63.86/64.55 (step-pop @p256 :rule scope :premises (@p255)) % 63.86/64.55 (step @p215 :rule process_scope :premises (@p256) :args (@t167)) % 63.86/64.55 (step @p218 :rule implies_elim :premises (@p215)) % 63.86/64.55 (step @p219 :rule cnf_and_neg :args (@t171)) % 63.86/64.55 (step @p220 :rule resolution :premises (@p219 @p218) :args (true @t171)) % 63.86/64.55 (step @p221 :rule chain_m_resolution :premises (@p220 @p148 @p202) :args ((not @t170) (@list false true) (@list @t149 @t167))) % 63.86/64.55 (step @p222 :rule cnf_or_pos :args (@t172)) % 63.86/64.55 (step @p223 :rule reordering :premises (@p222) :args ((or @t161 @t170 (not @t172)))) % 63.86/64.55 (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p181) :args (@t161 @t96 (@list @t170 @t172))) % 63.86/64.55 (step @p225 :rule chain_m_resolution :premises (@p197 @p195 @p224 @p180 @p175 @p57) :args (@t157 @t137 (@list @t163 @t160 @t153 @t76 @t166))) % 63.86/64.55 (step @p226 :rule cnf_or_pos :args (@t176)) % 63.86/64.55 (step @p227 :rule reordering :premises (@p226) :args ((or @t158 @t175 (not @t176)))) % 63.86/64.55 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p56) :args (@t175 @t142 (@list @t157 @t176))) % 63.86/64.55 (assume-push @p257 @t5) % 63.86/64.55 (step @p230 :rule instantiate :premises (@p3) :args ((@list @t174 @t173))) % 63.86/64.55 (step-pop @p258 :rule scope :premises (@p230)) % 63.86/64.55 (step @p231 :rule process_scope :premises (@p258) :args ((not @t175))) % 63.86/64.55 (step @p233 :rule implies_elim :premises (@p231)) % 63.86/64.55 (step @p234 false :rule chain_m_resolution :premises (@p233 @p228 @p3) :args (false @t142 (@list @t175 @t5))) % 63.86/64.55 ) % 63.86/64.55 % SZS output end Proof % 63.86/64.55 % cvc5 exiting %------------------------------------------------------------------------------