%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO090+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:16:20 AM UTC 2026 % Result : Theorem 7.41s 7.66s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : GEO090+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 23:18:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 7.41/7.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 7.41/7.66 % SZS status Theorem % 7.41/7.66 % SZS output start Proof % 7.41/7.66 ( % 7.41/7.66 (declare-sort $$unsorted 0) % 7.41/7.66 (declare-const tptp.open (-> $$unsorted Bool)) % 7.41/7.66 (declare-const tptp.closed (-> $$unsorted Bool)) % 7.41/7.66 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.41/7.66 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 7.41/7.66 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 7.41/7.66 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 7.41/7.66 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 7.41/7.66 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 7.41/7.66 (define @t1 () (@var "C" $$unsorted)) % 7.41/7.66 (define @t2 () (@var "P" $$unsorted)) % 7.41/7.66 (define @t3 () (tptp.incident_c @t2 @t1)) % 7.41/7.66 (define @t4 () (@var "C1" $$unsorted)) % 7.41/7.66 (define @t5 () (tptp.incident_c @t2 @t4)) % 7.41/7.66 (define @t6 () (@list @t2)) % 7.41/7.66 (define @t7 () (forall @t6 (=> @t5 @t3))) % 7.41/7.66 (define @t8 () (tptp.part_of @t4 @t1)) % 7.41/7.66 (define @t9 () (= @t8 @t7)) % 7.41/7.66 (define @t10 () (@list @t1 @t4)) % 7.41/7.66 (define @t11 () (forall @t10 @t9)) % 7.41/7.66 (define @t12 () (@var "C2" $$unsorted)) % 7.41/7.66 (define @t13 () (@var "Q" $$unsorted)) % 7.41/7.66 (define @t14 () (tptp.incident_c @t13 @t4)) % 7.41/7.66 (define @t15 () (tptp.incident_c @t13 @t1)) % 7.41/7.66 (define @t16 () (@list @t13)) % 7.41/7.66 (define @t17 () (= @t1 (tptp.sum @t4 @t12))) % 7.41/7.66 (define @t18 () (tptp.part_of @t12 @t4)) % 7.41/7.66 (define @t19 () (tptp.part_of @t4 @t12)) % 7.41/7.66 (define @t20 () (or @t19 @t18)) % 7.41/7.66 (define @t21 () (tptp.incident_c @t2 @t12)) % 7.41/7.66 (define @t22 () (tptp.part_of @t12 @t1)) % 7.41/7.66 (define @t23 () (and @t8 @t22 @t5 @t21)) % 7.41/7.66 (define @t24 () (@list @t4 @t12)) % 7.41/7.66 (define @t25 () (forall @t24 (=> @t23 @t20))) % 7.41/7.66 (define @t26 () (and @t3 @t25)) % 7.41/7.66 (define @t27 () (tptp.end_point @t2 @t1)) % 7.41/7.66 (define @t28 () (= @t27 @t26)) % 7.41/7.66 (define @t29 () (@list @t2 @t1)) % 7.41/7.66 (define @t30 () (forall @t29 @t28)) % 7.41/7.66 (define @t31 () (tptp.inner_point @t2 @t1)) % 7.41/7.66 (define @t32 () (tptp.end_point @t13 @t4)) % 7.41/7.66 (define @t33 () (tptp.end_point @t13 @t1)) % 7.41/7.66 (define @t34 () (and @t33 @t32)) % 7.41/7.66 (define @t35 () (and @t15 @t14)) % 7.41/7.66 (define @t36 () (forall @t16 (=> @t35 @t34))) % 7.41/7.66 (define @t37 () (and @t3 @t5 @t36)) % 7.41/7.66 (define @t38 () (tptp.meet @t2 @t1 @t4)) % 7.41/7.66 (define @t39 () (= @t38 @t37)) % 7.41/7.66 (define @t40 () (forall (@list @t2 @t1 @t4) @t39)) % 7.41/7.66 (define @t41 () (exists @t6 @t27)) % 7.41/7.66 (define @t42 () (tptp.closed @t1)) % 7.41/7.66 (define @t43 () (@list @t1)) % 7.41/7.66 (define @t44 () (@var "C3" $$unsorted)) % 7.41/7.66 (define @t45 () (tptp.meet @t2 @t4 @t12)) % 7.41/7.66 (define @t46 () (@list @t1 @t2)) % 7.41/7.66 (define @t47 () (@var "R" $$unsorted)) % 7.41/7.66 (define @t48 () (= @t2 @t13)) % 7.41/7.66 (define @t49 () (@var "Cpp" $$unsorted)) % 7.41/7.66 (define @t50 () (tptp.meet @t2 @t12 @t49)) % 7.41/7.66 (define @t51 () (tptp.meet @t2 @t4 @t49)) % 7.41/7.66 (define @t52 () (and @t18 @t21 @t51)) % 7.41/7.66 (define @t53 () (@list @t4 @t12 @t49 @t2)) % 7.41/7.66 (define @t54 () (forall @t53 (=> @t52 @t50))) % 7.41/7.66 (define @t55 () (not @t54)) % 7.41/7.66 (define @t56 () (not @t21)) % 7.41/7.66 (define @t57 () (not @t5)) % 7.41/7.66 (define @t58 () (not @t22)) % 7.41/7.66 (define @t59 () (not @t8)) % 7.41/7.66 (define @t60 () (or @t59 @t58 @t57 @t56)) % 7.41/7.66 (define @t61 () (not @t51)) % 7.41/7.66 (define @t62 () (not @t18)) % 7.41/7.66 (define @t63 () (or @t62 @t56 @t61 @t50)) % 7.41/7.66 (define @t64 () (forall @t53 @t63)) % 7.41/7.66 (define @t65 () (@quantifiers_skolemize @t64 0)) % 7.41/7.66 (define @t66 () (@quantifiers_skolemize @t64 2)) % 7.41/7.66 (define @t67 () (tptp.end_point @t13 @t66)) % 7.41/7.66 (define @t68 () (@quantifiers_skolemize @t64 1)) % 7.41/7.66 (define @t69 () (not (tptp.incident_c @t13 @t66))) % 7.41/7.66 (define @t70 () (forall @t16 (or (not (tptp.incident_c @t13 @t68)) @t69 (and (tptp.end_point @t13 @t68) @t67)))) % 7.41/7.66 (define @t71 () (@quantifiers_skolemize @t70 0)) % 7.41/7.66 (define @t72 () (not @t14)) % 7.41/7.66 (define @t73 () (not @t15)) % 7.41/7.66 (define @t74 () (@quantifiers_skolemize @t64 3)) % 7.41/7.66 (define @t75 () (or @t62 @t56 @t61)) % 7.41/7.66 (define @t76 () (tptp.meet @t74 @t65 @t66)) % 7.41/7.66 (define @t77 () (tptp.meet @t74 @t68 @t66)) % 7.41/7.66 (define @t78 () (not @t76)) % 7.41/7.66 (define @t79 () (tptp.incident_c @t74 @t68)) % 7.41/7.66 (define @t80 () (not @t79)) % 7.41/7.66 (define @t81 () (tptp.part_of @t68 @t65)) % 7.41/7.66 (define @t82 () (not @t81)) % 7.41/7.66 (define @t83 () (or @t82 @t80 @t78 @t77)) % 7.41/7.66 (define @t84 () (@list true)) % 7.41/7.66 (define @t85 () (@list @t83)) % 7.41/7.66 (define @t86 () (forall @t16 (or (not (tptp.incident_c @t13 @t65)) @t69 (and (tptp.end_point @t13 @t65) @t67)))) % 7.41/7.66 (define @t87 () (tptp.incident_c @t74 @t66)) % 7.41/7.66 (define @t88 () (and (tptp.incident_c @t74 @t65) @t87 @t86)) % 7.41/7.66 (define @t89 () (= @t76 @t88)) % 7.41/7.66 (define @t90 () (@list false false)) % 7.41/7.66 (define @t91 () (not @t88)) % 7.41/7.66 (define @t92 () (@list false)) % 7.41/7.66 (define @t93 () (@list @t88)) % 7.41/7.66 (define @t94 () (@list @t71)) % 7.41/7.66 (define @t95 () (tptp.incident_c @t2 @t65)) % 7.41/7.66 (define @t96 () (tptp.incident_c @t2 @t68)) % 7.41/7.66 (define @t97 () (forall @t6 (or (not @t96) @t95))) % 7.41/7.66 (define @t98 () (= @t81 @t97)) % 7.41/7.66 (define @t99 () (and @t79 @t87 @t70)) % 7.41/7.66 (define @t100 () (= @t77 @t99)) % 7.41/7.66 (define @t101 () (not @t99)) % 7.41/7.66 (define @t102 () (@list true false)) % 7.41/7.66 (define @t103 () (not @t70)) % 7.41/7.66 (define @t104 () (tptp.incident_c @t71 @t68)) % 7.41/7.66 (define @t105 () (tptp.end_point @t71 @t66)) % 7.41/7.66 (define @t106 () (tptp.end_point @t71 @t68)) % 7.41/7.66 (define @t107 () (and @t106 @t105)) % 7.41/7.66 (define @t108 () (tptp.incident_c @t71 @t66)) % 7.41/7.66 (define @t109 () (not @t108)) % 7.41/7.66 (define @t110 () (not @t104)) % 7.41/7.66 (define @t111 () (or @t110 @t109 @t107)) % 7.41/7.66 (define @t112 () (@list @t111)) % 7.41/7.66 (define @t113 () (tptp.incident_c @t71 @t65)) % 7.41/7.66 (define @t114 () (or @t110 @t113)) % 7.41/7.66 (define @t115 () (tptp.end_point @t71 @t65)) % 7.41/7.66 (define @t116 () (and @t115 @t105)) % 7.41/7.66 (define @t117 () (not @t113)) % 7.41/7.66 (define @t118 () (or @t117 @t109 @t116)) % 7.41/7.66 (define @t119 () (not @t116)) % 7.41/7.66 (define @t120 () (@list @t116)) % 7.41/7.66 (define @t121 () (not (tptp.incident_c @t71 @t12))) % 7.41/7.66 (define @t122 () (not (tptp.incident_c @t71 @t4))) % 7.41/7.66 (define @t123 () (forall @t24 (or (not (tptp.part_of @t4 @t65)) (not (tptp.part_of @t12 @t65)) @t122 @t121 @t19 @t18))) % 7.41/7.66 (define @t124 () (and @t113 @t123)) % 7.41/7.66 (define @t125 () (= @t115 @t124)) % 7.41/7.66 (define @t126 () (forall @t24 (or (not (tptp.part_of @t4 @t68)) (not (tptp.part_of @t12 @t68)) @t122 @t121 @t19 @t18))) % 7.41/7.66 (define @t127 () (@quantifiers_skolemize @t126 1)) % 7.41/7.66 (define @t128 () (not (tptp.incident_c @t2 @t127))) % 7.41/7.66 (define @t129 () (forall @t6 (or @t128 @t95))) % 7.41/7.66 (define @t130 () (@quantifiers_skolemize @t129 0)) % 7.41/7.66 (define @t131 () (tptp.incident_c @t130 @t127)) % 7.41/7.66 (define @t132 () (tptp.incident_c @t130 @t65)) % 7.41/7.66 (define @t133 () (not @t131)) % 7.41/7.66 (define @t134 () (or @t133 @t132)) % 7.41/7.66 (define @t135 () (and @t104 @t126)) % 7.41/7.66 (define @t136 () (= @t106 @t135)) % 7.41/7.66 (define @t137 () (not @t135)) % 7.41/7.66 (define @t138 () (not @t126)) % 7.41/7.66 (define @t139 () (tptp.part_of @t127 @t68)) % 7.41/7.66 (define @t140 () (@quantifiers_skolemize @t126 0)) % 7.41/7.66 (define @t141 () (tptp.part_of @t127 @t140)) % 7.41/7.66 (define @t142 () (tptp.part_of @t140 @t127)) % 7.41/7.66 (define @t143 () (tptp.incident_c @t71 @t127)) % 7.41/7.66 (define @t144 () (not @t143)) % 7.41/7.66 (define @t145 () (tptp.incident_c @t71 @t140)) % 7.41/7.66 (define @t146 () (not @t145)) % 7.41/7.66 (define @t147 () (not @t139)) % 7.41/7.66 (define @t148 () (tptp.part_of @t140 @t68)) % 7.41/7.66 (define @t149 () (not @t148)) % 7.41/7.66 (define @t150 () (or @t149 @t147 @t146 @t144 @t142 @t141)) % 7.41/7.66 (define @t151 () (@list @t150)) % 7.41/7.66 (define @t152 () (forall @t6 (or @t128 @t96))) % 7.41/7.66 (define @t153 () (= @t139 @t152)) % 7.41/7.66 (define @t154 () (@list @t130)) % 7.41/7.66 (define @t155 () (tptp.incident_c @t130 @t68)) % 7.41/7.66 (define @t156 () (or @t133 @t155)) % 7.41/7.66 (define @t157 () (not @t155)) % 7.41/7.66 (define @t158 () (or @t157 @t132)) % 7.41/7.66 (define @t159 () (@list false false false true false)) % 7.41/7.66 (define @t160 () (not @t134)) % 7.41/7.66 (define @t161 () (not @t129)) % 7.41/7.66 (define @t162 () (tptp.part_of @t127 @t65)) % 7.41/7.66 (define @t163 () (= @t162 @t129)) % 7.41/7.66 (define @t164 () (not (tptp.incident_c @t2 @t140))) % 7.41/7.66 (define @t165 () (forall @t6 (or @t164 @t95))) % 7.41/7.66 (define @t166 () (@quantifiers_skolemize @t165 0)) % 7.41/7.66 (define @t167 () (tptp.incident_c @t166 @t140)) % 7.41/7.66 (define @t168 () (tptp.incident_c @t166 @t65)) % 7.41/7.66 (define @t169 () (not @t167)) % 7.41/7.66 (define @t170 () (or @t169 @t168)) % 7.41/7.66 (define @t171 () (forall @t6 (or @t164 @t96))) % 7.41/7.66 (define @t172 () (= @t148 @t171)) % 7.41/7.66 (define @t173 () (@list @t166)) % 7.41/7.66 (define @t174 () (tptp.incident_c @t166 @t68)) % 7.41/7.66 (define @t175 () (or @t169 @t174)) % 7.41/7.66 (define @t176 () (not @t174)) % 7.41/7.66 (define @t177 () (or @t176 @t168)) % 7.41/7.66 (define @t178 () (not @t170)) % 7.41/7.66 (define @t179 () (not @t165)) % 7.41/7.66 (define @t180 () (tptp.part_of @t140 @t65)) % 7.41/7.66 (define @t181 () (= @t180 @t165)) % 7.41/7.66 (define @t182 () (not @t162)) % 7.41/7.66 (define @t183 () (not @t180)) % 7.41/7.66 (define @t184 () (or @t183 @t182 @t146 @t144 @t142 @t141)) % 7.41/7.66 (define @t185 () (not @t184)) % 7.41/7.66 (assume @p1 @t11) % 7.41/7.66 (assume @p2 (forall (@list @t1 @t4 @t12) (= @t17 (forall @t16 (= @t15 (or @t14 (tptp.incident_c @t13 @t12))))))) % 7.41/7.66 (assume @p3 @t30) % 7.41/7.66 (assume @p4 (forall @t29 (= @t31 (and @t3 (not @t27))))) % 7.41/7.66 (assume @p5 @t40) % 7.41/7.66 (assume @p6 (forall @t43 (= @t42 (not @t41)))) % 7.41/7.66 (assume @p7 (forall @t43 (= (tptp.open @t1) @t41))) % 7.41/7.66 (assume @p8 (forall @t10 (=> (and @t8 (not (= @t4 @t1))) (tptp.open @t4)))) % 7.41/7.66 (assume @p9 (forall (@list @t1 @t4 @t12 @t44) (=> (and @t8 @t22 (tptp.part_of @t44 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t12) (tptp.end_point @t2 @t44)))) (or (tptp.part_of @t12 @t44) (tptp.part_of @t44 @t12) @t19 @t18 (tptp.part_of @t4 @t44) (tptp.part_of @t44 @t4))))) % 7.41/7.66 (assume @p10 (forall @t43 (exists @t6 @t31))) % 7.41/7.66 (assume @p11 (forall @t46 (=> @t31 (exists @t24 (and @t45 @t17))))) % 7.41/7.66 (assume @p12 (forall (@list @t1 @t2 @t13 @t47) (=> (and @t27 @t33 (tptp.end_point @t47 @t1)) (or @t48 (= @t2 @t47) (= @t13 @t47))))) % 7.41/7.66 (assume @p13 (forall @t46 (=> @t27 (exists @t16 (and @t33 (not @t48)))))) % 7.41/7.66 (assume @p14 (forall (@list @t1 @t4 @t12 @t2) (=> (and @t42 @t45 @t17) (forall @t16 (=> @t32 (tptp.meet @t13 @t4 @t12)))))) % 7.41/7.66 (assume @p15 (forall @t24 (=> (exists @t6 @t45) (exists @t43 @t17)))) % 7.41/7.66 (assume @p16 (forall @t10 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 7.41/7.66 (assume @p17 @t55) % 7.41/7.66 (assume @p18 true) % 7.41/7.66 (step @p19 :rule aci_norm :args ((= (or @t60 @t20) (or @t59 @t58 @t57 @t56 @t19 @t18)))) % 7.41/7.66 (step @p20 :rule refl :args (@t20)) % 7.41/7.66 (step @p21 :rule aci_norm :args ((= (or @t59 (or @t58 (or @t57 @t56))) @t60))) % 7.41/7.66 (step @p22 :rule bool-and-de-morgan :args (@t5 @t21 true)) % 7.41/7.66 (step @p23 :rule refl :args (@t58)) % 7.41/7.66 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t58 (not (and @t5 @t21))))) % 7.41/7.66 (step @p25 :rule bool-and-de-morgan :args (@t22 @t5 (and @t21))) % 7.41/7.66 (step @p26 :rule trans :premises (@p25 @p24)) % 7.41/7.66 (step @p27 :rule refl :args (@t59)) % 7.41/7.66 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t59 (not (and @t22 @t5 @t21))))) % 7.41/7.66 (step @p29 :rule bool-and-de-morgan :args (@t8 @t22 (and @t5 @t21))) % 7.41/7.66 (step @p30 :rule trans :premises (@p29 @p28)) % 7.41/7.66 (step @p31 :rule trans :premises (@p30 @p21)) % 7.41/7.66 (step @p32 :rule nary_cong :premises (@p31 @p20) :args ((or (not @t23) @t20))) % 7.41/7.66 (step @p33 :rule trans :premises (@p32 @p19)) % 7.41/7.66 (step @p34 :rule bool-impl-elim :args (@t23 @t20)) % 7.41/7.66 (step @p35 :rule trans :premises (@p34 @p33)) % 7.41/7.66 (step @p36 :rule cong :premises (@p35) :args (@t25)) % 7.41/7.66 (step @p37 :rule refl :args (@t3)) % 7.41/7.66 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t26)) % 7.41/7.66 (step @p39 :rule refl :args (@t27)) % 7.41/7.66 (step @p40 :rule cong :premises (@p39 @p38) :args (@t28)) % 7.41/7.66 (step @p41 :rule cong :premises (@p40) :args (@t30)) % 7.41/7.66 (step @p42 :rule eq_resolve :premises (@p3 @p41)) % 7.41/7.66 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t71 @t65))) % 7.41/7.66 (step @p44 :rule aci_norm :args ((= (or (or @t73 @t72) @t34) (or @t73 @t72 @t34)))) % 7.41/7.66 (step @p45 :rule refl :args (@t34)) % 7.41/7.66 (step @p46 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 7.41/7.66 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t35) @t34))) % 7.41/7.66 (step @p48 :rule trans :premises (@p47 @p44)) % 7.41/7.66 (step @p49 :rule bool-impl-elim :args (@t35 @t34)) % 7.41/7.66 (step @p50 :rule trans :premises (@p49 @p48)) % 7.41/7.66 (step @p51 :rule cong :premises (@p50) :args (@t36)) % 7.41/7.66 (step @p52 :rule refl :args (@t5)) % 7.41/7.66 (step @p53 :rule nary_cong :premises (@p37 @p52 @p51) :args (@t37)) % 7.41/7.66 (step @p54 :rule refl :args (@t38)) % 7.41/7.66 (step @p55 :rule cong :premises (@p54 @p53) :args (@t39)) % 7.41/7.66 (step @p56 :rule cong :premises (@p55) :args (@t40)) % 7.41/7.66 (step @p57 :rule eq_resolve :premises (@p5 @p56)) % 7.41/7.66 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t74 @t65 @t66))) % 7.41/7.66 (step @p59 :rule aci_norm :args ((= (or @t75 @t50) @t63))) % 7.41/7.66 (step @p60 :rule refl :args (@t50)) % 7.41/7.66 (step @p61 :rule aci_norm :args ((= (or @t62 (or @t56 @t61)) @t75))) % 7.41/7.66 (step @p62 :rule bool-and-de-morgan :args (@t21 @t51 true)) % 7.41/7.66 (step @p63 :rule refl :args (@t62)) % 7.41/7.66 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t62 (not (and @t21 @t51))))) % 7.41/7.66 (step @p65 :rule bool-and-de-morgan :args (@t18 @t21 (and @t51))) % 7.41/7.66 (step @p66 :rule trans :premises (@p65 @p64)) % 7.41/7.66 (step @p67 :rule trans :premises (@p66 @p61)) % 7.41/7.66 (step @p68 :rule 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(step @p83 :rule cnf_equiv_pos1 :args (@t89)) % 7.41/7.66 (step @p84 :rule reordering :premises (@p83) :args ((or @t78 @t88 (not @t89)))) % 7.41/7.66 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p58) :args (@t88 @t90 (@list @t76 @t89))) % 7.41/7.66 (step @p86 :rule cnf_and_pos :args (@t88 2)) % 7.41/7.66 (step @p87 :rule reordering :premises (@p86) :args ((or @t86 @t91))) % 7.41/7.66 (step @p88 :rule chain_m_resolution :premises (@p87 @p85) :args (@t86 @t92 @t93)) % 7.41/7.66 (step @p89 :rule instantiate :premises (@p88) :args (@t94)) % 7.41/7.66 (step @p90 :rule bool-impl-elim :args (@t5 @t3)) % 7.41/7.66 (step @p91 :rule cong :premises (@p90) :args (@t7)) % 7.41/7.66 (step @p92 :rule refl :args (@t8)) % 7.41/7.66 (step @p93 :rule cong :premises (@p92 @p91) :args (@t9)) % 7.41/7.66 (step @p94 :rule cong :premises (@p93) :args (@t11)) % 7.41/7.66 (step @p95 :rule eq_resolve :premises (@p1 @p94)) % 7.41/7.66 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t65 @t68))) % 7.41/7.66 (step @p97 :rule bool-double-not-elim :args (@t81)) % 7.41/7.66 (step @p98 :rule nary_cong :premises (@p77 @p97) :args ((or @t83 (not @t82)))) % 7.41/7.66 (step @p99 :rule cnf_or_neg :args (@t83 0)) % 7.41/7.66 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 7.41/7.66 (step @p101 :rule reordering :premises (@p100) :args ((or @t81 @t83))) % 7.41/7.66 (step @p102 :rule chain_m_resolution :premises (@p101 @p75) :args (@t81 @t84 @t85)) % 7.41/7.66 (step @p103 :rule cnf_equiv_pos1 :args (@t98)) % 7.41/7.66 (step @p104 :rule reordering :premises (@p103) :args ((or @t82 @t97 (not @t98)))) % 7.41/7.66 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p96) :args (@t97 @t90 (@list @t81 @t98))) % 7.41/7.66 (step @p106 :rule instantiate :premises (@p105) :args (@t94)) % 7.41/7.66 (step @p107 :rule cnf_and_pos :args (@t88 1)) % 7.41/7.66 (step @p108 :rule reordering :premises (@p107) :args ((or @t87 @t91))) % 7.41/7.66 (step @p109 :rule chain_m_resolution 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(@p120 @p75) :args (@t79 @t84 @t85)) % 7.41/7.66 (step @p122 :rule cnf_and_neg :args (@t99)) % 7.41/7.66 (step @p123 :rule reordering :premises (@p122) :args ((or @t80 @t99 (not @t87) @t103))) % 7.41/7.66 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p115 @p109) :args (@t103 (@list false true false) (@list @t79 @t99 @t87))) % 7.41/7.66 (step @p125 :rule skolemize :premises (@p124)) % 7.41/7.66 (step @p126 :rule bool-double-not-elim :args (@t104)) % 7.41/7.66 (step @p127 :rule refl :args (@t111)) % 7.41/7.66 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t111 (not @t110)))) % 7.41/7.66 (step @p129 :rule cnf_or_neg :args (@t111 0)) % 7.41/7.66 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 7.41/7.66 (step @p131 :rule reordering :premises (@p130) :args ((or @t104 @t111))) % 7.41/7.66 (step @p132 :rule chain_m_resolution :premises (@p131 @p125) :args (@t104 @t84 @t112)) % 7.41/7.66 (step @p133 :rule cnf_or_pos :args (@t114)) % 7.41/7.66 (step @p134 :rule reordering :premises (@p133) :args ((or @t110 @t113 (not @t114)))) % 7.41/7.66 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p106) :args (@t113 @t90 (@list @t104 @t114))) % 7.41/7.66 (step @p136 :rule bool-double-not-elim :args (@t108)) % 7.41/7.66 (step @p137 :rule nary_cong :premises (@p127 @p136) :args ((or @t111 (not @t109)))) % 7.41/7.66 (step @p138 :rule cnf_or_neg :args (@t111 1)) % 7.41/7.66 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 7.41/7.66 (step @p140 :rule reordering :premises (@p139) :args ((or @t108 @t111))) % 7.41/7.66 (step @p141 :rule chain_m_resolution :premises (@p140 @p125) :args (@t108 @t84 @t112)) % 7.41/7.66 (step @p142 :rule cnf_or_pos :args (@t118)) % 7.41/7.66 (step @p143 :rule reordering :premises (@p142) :args ((or @t109 @t117 @t116 (not @t118)))) % 7.41/7.66 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p135 @p89) :args (@t116 (@list false false false) (@list @t108 @t113 @t118))) % 7.41/7.66 (step @p145 :rule cnf_and_pos :args (@t116 0)) % 7.41/7.66 (step @p146 :rule reordering :premises (@p145) :args ((or @t115 @t119))) % 7.41/7.66 (step @p147 :rule chain_m_resolution :premises (@p146 @p144) :args (@t115 @t92 @t120)) % 7.41/7.66 (step @p148 :rule cnf_equiv_pos1 :args (@t125)) % 7.41/7.66 (step @p149 :rule reordering :premises (@p148) :args ((or (not @t115) @t124 (not @t125)))) % 7.41/7.66 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p43) :args (@t124 @t90 (@list @t115 @t125))) % 7.41/7.66 (step @p151 :rule cnf_and_pos :args (@t124 1)) % 7.41/7.66 (step @p152 :rule reordering :premises (@p151) :args ((or @t123 (not @t124)))) % 7.41/7.66 (step @p153 :rule chain_m_resolution :premises (@p152 @p150) :args (@t123 @t92 (@list @t124))) % 7.41/7.66 (step @p154 :rule instantiate :premises (@p95) :args ((@list @t65 @t127))) % 7.41/7.66 (step @p155 :rule bool-double-not-elim :args (@t131)) % 7.41/7.66 (step @p156 :rule refl :args (@t134)) % 7.41/7.66 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t134 (not @t133)))) % 7.41/7.66 (step @p158 :rule cnf_or_neg :args (@t134 0)) % 7.41/7.66 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 7.41/7.66 (step @p160 :rule reordering :premises (@p159) :args ((or @t131 @t134))) % 7.41/7.66 (step @p161 :rule cnf_or_neg :args (@t134 1)) % 7.41/7.66 (step @p162 :rule instantiate :premises (@p95) :args ((@list @t68 @t127))) % 7.41/7.66 (step @p163 :rule instantiate :premises (@p42) :args ((@list @t71 @t68))) % 7.41/7.66 (step @p164 :rule cnf_and_pos :args (@t116 1)) % 7.41/7.66 (step @p165 :rule reordering :premises (@p164) :args ((or @t105 @t119))) % 7.41/7.66 (step @p166 :rule chain_m_resolution :premises (@p165 @p144) :args (@t105 @t92 @t120)) % 7.41/7.66 (step @p167 :rule cnf_or_neg :args (@t111 2)) % 7.41/7.66 (step @p168 :rule chain_m_resolution :premises (@p167 @p125) :args ((not @t107) @t84 @t112)) % 7.41/7.66 (step @p169 :rule cnf_and_neg :args (@t107)) % 7.41/7.66 (step @p170 :rule chain_m_resolution :premises (@p169 @p168 @p166) :args ((not @t106) @t102 (@list @t107 @t105))) % 7.41/7.66 (step @p171 :rule cnf_equiv_pos2 :args (@t136)) % 7.41/7.66 (step @p172 :rule reordering :premises (@p171) :args ((or @t106 @t137 (not @t136)))) % 7.41/7.66 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p163) :args (@t137 @t102 (@list @t106 @t136))) % 7.41/7.66 (step @p174 :rule cnf_and_neg :args (@t135)) % 7.41/7.66 (step @p175 :rule reordering :premises (@p174) :args ((or @t110 @t135 @t138))) % 7.41/7.66 (step @p176 :rule chain_m_resolution :premises (@p175 @p132 @p173) :args (@t138 (@list false true) (@list @t104 @t135))) % 7.41/7.66 (step @p177 :rule skolemize :premises (@p176)) % 7.41/7.66 (step @p178 :rule bool-double-not-elim :args (@t139)) % 7.41/7.66 (step @p179 :rule refl :args (@t150)) % 7.41/7.66 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t150 (not @t147)))) % 7.41/7.66 (step @p181 :rule cnf_or_neg :args (@t150 1)) % 7.41/7.66 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 7.41/7.66 (step @p183 :rule reordering :premises (@p182) :args ((or @t139 @t150))) % 7.41/7.66 (step @p184 :rule chain_m_resolution :premises (@p183 @p177) :args (@t139 @t84 @t151)) % 7.41/7.66 (step @p185 :rule cnf_equiv_pos1 :args (@t153)) % 7.41/7.66 (step @p186 :rule reordering :premises (@p185) :args ((or @t147 @t152 (not @t153)))) % 7.41/7.66 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p162) :args (@t152 @t90 (@list @t139 @t153))) % 7.41/7.66 (step @p188 :rule instantiate :premises (@p187) :args (@t154)) % 7.41/7.66 (step @p189 :rule cnf_or_pos :args (@t156)) % 7.41/7.66 (step @p190 :rule reordering :premises (@p189) :args ((or @t133 @t155 (not @t156)))) % 7.41/7.66 (step @p191 :rule instantiate :premises (@p105) :args (@t154)) % 7.41/7.66 (step @p192 :rule cnf_or_pos :args (@t158)) % 7.41/7.66 (step @p193 :rule reordering :premises (@p192) :args ((or @t132 @t157 (not @t158)))) % 7.41/7.66 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p190 @p188 @p161 @p160) :args (@t134 @t159 (@list @t158 @t155 @t156 @t132 @t131))) % 7.41/7.66 (step @p195 :rule refl :args (@t160)) % 7.41/7.66 (step @p196 :rule bool-double-not-elim :args (@t129)) % 7.41/7.66 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or (not @t161) @t160))) % 7.41/7.66 (assume-push @p271 @t161) % 7.41/7.66 (step @p199 :rule skolemize :premises (@p271)) % 7.41/7.66 (step-pop @p272 :rule scope :premises (@p199)) % 7.41/7.66 (step @p200 :rule process_scope :premises (@p272) :args (@t160)) % 7.41/7.66 (step @p202 :rule implies_elim :premises (@p200)) % 7.41/7.66 (step @p203 :rule eq_resolve :premises (@p202 @p197)) % 7.41/7.66 (step @p204 :rule chain_m_resolution :premises (@p203 @p194) :args (@t129 @t92 (@list @t134))) % 7.41/7.66 (step @p205 :rule cnf_equiv_pos2 :args (@t163)) % 7.41/7.66 (step @p206 :rule reordering :premises (@p205) :args ((or @t162 @t161 (not @t163)))) % 7.41/7.66 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p154) :args (@t162 @t90 (@list @t129 @t163))) % 7.41/7.66 (step @p208 :rule instantiate :premises (@p95) :args ((@list @t65 @t140))) % 7.41/7.66 (step @p209 :rule bool-double-not-elim :args (@t167)) % 7.41/7.66 (step @p210 :rule refl :args (@t170)) % 7.41/7.66 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or @t170 (not @t169)))) % 7.41/7.66 (step @p212 :rule cnf_or_neg :args (@t170 0)) % 7.41/7.66 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 7.41/7.66 (step @p214 :rule reordering :premises (@p213) :args ((or @t167 @t170))) % 7.41/7.66 (step @p215 :rule cnf_or_neg :args (@t170 1)) % 7.41/7.66 (step @p216 :rule instantiate :premises (@p95) :args ((@list @t68 @t140))) % 7.41/7.66 (step @p217 :rule bool-double-not-elim :args (@t148)) % 7.41/7.66 (step @p218 :rule nary_cong :premises (@p179 @p217) :args ((or @t150 (not @t149)))) % 7.41/7.66 (step @p219 :rule cnf_or_neg :args (@t150 0)) % 7.41/7.66 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 7.41/7.66 (step @p221 :rule reordering :premises (@p220) :args ((or @t148 @t150))) % 7.41/7.66 (step @p222 :rule chain_m_resolution :premises (@p221 @p177) :args (@t148 @t84 @t151)) % 7.41/7.66 (step @p223 :rule cnf_equiv_pos1 :args (@t172)) % 7.41/7.66 (step @p224 :rule reordering :premises (@p223) :args ((or @t149 @t171 (not @t172)))) % 7.41/7.66 (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p216) :args (@t171 @t90 (@list @t148 @t172))) % 7.41/7.66 (step @p226 :rule instantiate :premises (@p225) :args (@t173)) % 7.41/7.66 (step @p227 :rule cnf_or_pos :args (@t175)) % 7.41/7.66 (step @p228 :rule reordering :premises (@p227) :args ((or @t169 @t174 (not @t175)))) % 7.41/7.66 (step @p229 :rule instantiate :premises (@p105) :args (@t173)) % 7.41/7.66 (step @p230 :rule cnf_or_pos :args (@t177)) % 7.41/7.66 (step @p231 :rule reordering :premises (@p230) :args ((or @t168 @t176 (not @t177)))) % 7.41/7.66 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p228 @p226 @p215 @p214) :args (@t170 @t159 (@list @t177 @t174 @t175 @t168 @t167))) % 7.41/7.66 (step @p233 :rule refl :args (@t178)) % 7.41/7.66 (step @p234 :rule bool-double-not-elim :args (@t165)) % 7.41/7.66 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or (not @t179) @t178))) % 7.41/7.66 (assume-push @p273 @t179) % 7.41/7.66 (step @p237 :rule skolemize :premises (@p273)) % 7.41/7.66 (step-pop @p274 :rule scope :premises (@p237)) % 7.41/7.66 (step @p238 :rule process_scope :premises (@p274) :args (@t178)) % 7.41/7.66 (step @p240 :rule implies_elim :premises (@p238)) % 7.41/7.66 (step @p241 :rule eq_resolve :premises (@p240 @p235)) % 7.41/7.66 (step @p242 :rule chain_m_resolution :premises (@p241 @p232) :args (@t165 @t92 (@list @t170))) % 7.41/7.66 (step @p243 :rule cnf_equiv_pos2 :args (@t181)) % 7.41/7.66 (step @p244 :rule reordering :premises (@p243) :args ((or @t180 @t179 (not @t181)))) % 7.41/7.66 (step @p245 :rule chain_m_resolution :premises (@p244 @p242 @p208) :args (@t180 @t90 (@list @t165 @t181))) % 7.41/7.66 (step @p246 :rule cnf_or_neg :args (@t150 5)) % 7.41/7.66 (step @p247 :rule chain_m_resolution :premises (@p246 @p177) :args ((not @t141) @t84 @t151)) % 7.41/7.66 (step @p248 :rule cnf_or_neg :args (@t150 4)) % 7.41/7.66 (step @p249 :rule chain_m_resolution :premises (@p248 @p177) :args ((not @t142) @t84 @t151)) % 7.41/7.66 (step @p250 :rule bool-double-not-elim :args (@t143)) % 7.41/7.66 (step @p251 :rule nary_cong :premises (@p179 @p250) :args ((or @t150 (not @t144)))) % 7.41/7.66 (step @p252 :rule cnf_or_neg :args (@t150 3)) % 7.41/7.66 (step @p253 :rule eq_resolve :premises (@p252 @p251)) % 0.32/7.70 (step @p254 :rule reordering :premises (@p253) :args ((or @t143 @t150))) % 0.32/7.70 (step @p255 :rule chain_m_resolution :premises (@p254 @p177) :args (@t143 @t84 @t151)) % 0.32/7.70 (step @p256 :rule bool-double-not-elim :args (@t145)) % 0.32/7.70 (step @p257 :rule nary_cong :premises (@p179 @p256) :args ((or @t150 (not @t146)))) % 0.32/7.70 (step @p258 :rule cnf_or_neg :args (@t150 2)) % 0.32/7.70 (step @p259 :rule eq_resolve :premises (@p258 @p257)) % 0.32/7.70 (step @p260 :rule reordering :premises (@p259) :args ((or @t145 @t150))) % 0.32/7.70 (step @p261 :rule chain_m_resolution :premises (@p260 @p177) :args (@t145 @t84 @t151)) % 0.32/7.70 (step @p262 :rule cnf_or_pos :args (@t184)) % 0.32/7.70 (step @p263 :rule reordering :premises (@p262) :args ((or @t146 @t144 @t142 @t141 @t183 @t182 @t185))) % 0.32/7.70 (step @p264 :rule chain_m_resolution :premises (@p263 @p261 @p255 @p249 @p247 @p245 @p207) :args (@t185 (@list false false true true false false) (@list @t145 @t143 @t142 @t141 @t180 @t162))) % 0.32/7.70 (assume-push @p275 @t123) % 0.32/7.70 (step @p266 :rule instantiate :premises (@p153) :args ((@list @t140 @t127))) % 0.32/7.70 (step-pop @p276 :rule scope :premises (@p266)) % 0.32/7.70 (step @p267 :rule process_scope :premises (@p276) :args (@t184)) % 0.32/7.70 (step @p269 :rule implies_elim :premises (@p267)) % 0.32/7.70 (step @p270 false :rule chain_m_resolution :premises (@p269 @p264 @p153) :args (false @t102 (@list @t184 @t123))) % 0.32/7.70 ) % 0.32/7.70 % SZS output end Proof % 0.32/7.70 % cvc5 exiting %------------------------------------------------------------------------------