%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO089+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:16:19 AM UTC 2026 % Result : Theorem 35.94s 36.15s % Output : Proof 35.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO089+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 23:18:32 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 35.94/36.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.94/36.15 --- Run --no-e-matching --full-saturate-quant at 6... % 35.94/36.15 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.94/36.15 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.94/36.15 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.94/36.15 % SZS status Theorem % 35.94/36.15 % SZS output start Proof % 35.94/36.15 ( % 35.94/36.15 (declare-sort $$unsorted 0) % 35.94/36.15 (declare-const tptp.open (-> $$unsorted Bool)) % 35.94/36.15 (declare-const tptp.closed (-> $$unsorted Bool)) % 35.94/36.15 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.94/36.15 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 35.94/36.15 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 35.94/36.15 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 35.94/36.15 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 35.94/36.15 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 35.94/36.15 (define @t1 () (@var "C" $$unsorted)) % 35.94/36.15 (define @t2 () (@var "P" $$unsorted)) % 35.94/36.15 (define @t3 () (tptp.incident_c @t2 @t1)) % 35.94/36.15 (define @t4 () (@var "C1" $$unsorted)) % 35.94/36.15 (define @t5 () (tptp.incident_c @t2 @t4)) % 35.94/36.15 (define @t6 () (@list @t2)) % 35.94/36.15 (define @t7 () (forall @t6 (=> @t5 @t3))) % 35.94/36.15 (define @t8 () (tptp.part_of @t4 @t1)) % 35.94/36.15 (define @t9 () (= @t8 @t7)) % 35.94/36.15 (define @t10 () (@list @t1 @t4)) % 35.94/36.15 (define @t11 () (forall @t10 @t9)) % 35.94/36.15 (define @t12 () (@var "C2" $$unsorted)) % 35.94/36.15 (define @t13 () (@var "Q" $$unsorted)) % 35.94/36.15 (define @t14 () (tptp.incident_c @t13 @t4)) % 35.94/36.15 (define @t15 () (tptp.incident_c @t13 @t1)) % 35.94/36.15 (define @t16 () (@list @t13)) % 35.94/36.15 (define @t17 () (= @t1 (tptp.sum @t4 @t12))) % 35.94/36.15 (define @t18 () (tptp.part_of @t12 @t4)) % 35.94/36.15 (define @t19 () (tptp.part_of @t4 @t12)) % 35.94/36.15 (define @t20 () (or @t19 @t18)) % 35.94/36.15 (define @t21 () (tptp.incident_c @t2 @t12)) % 35.94/36.15 (define @t22 () (tptp.part_of @t12 @t1)) % 35.94/36.15 (define @t23 () (and @t8 @t22 @t5 @t21)) % 35.94/36.15 (define @t24 () (@list @t4 @t12)) % 35.94/36.15 (define @t25 () (forall @t24 (=> @t23 @t20))) % 35.94/36.15 (define @t26 () (and @t3 @t25)) % 35.94/36.15 (define @t27 () (tptp.end_point @t2 @t1)) % 35.94/36.15 (define @t28 () (= @t27 @t26)) % 35.94/36.15 (define @t29 () (@list @t2 @t1)) % 35.94/36.15 (define @t30 () (forall @t29 @t28)) % 35.94/36.15 (define @t31 () (tptp.inner_point @t2 @t1)) % 35.94/36.15 (define @t32 () (tptp.end_point @t13 @t4)) % 35.94/36.15 (define @t33 () (tptp.end_point @t13 @t1)) % 35.94/36.15 (define @t34 () (exists @t6 @t27)) % 35.94/36.15 (define @t35 () (tptp.closed @t1)) % 35.94/36.15 (define @t36 () (@list @t1)) % 35.94/36.15 (define @t37 () (@var "C3" $$unsorted)) % 35.94/36.15 (define @t38 () (tptp.meet @t2 @t4 @t12)) % 35.94/36.15 (define @t39 () (@list @t1 @t2)) % 35.94/36.15 (define @t40 () (@var "R" $$unsorted)) % 35.94/36.15 (define @t41 () (= @t2 @t13)) % 35.94/36.15 (define @t42 () (@var "Cpp" $$unsorted)) % 35.94/36.15 (define @t43 () (tptp.inner_point @t2 @t42)) % 35.94/36.15 (define @t44 () (tptp.part_of @t42 @t1)) % 35.94/36.15 (define @t45 () (and @t44 @t43)) % 35.94/36.15 (define @t46 () (@list @t42)) % 35.94/36.15 (define @t47 () (exists @t46 @t45)) % 35.94/36.15 (define @t48 () (=> @t47 @t31)) % 35.94/36.15 (define @t49 () (forall @t39 @t48)) % 35.94/36.15 (define @t50 () (not @t49)) % 35.94/36.15 (define @t51 () (@var "BOUND_VARIABLE_7728" $$unsorted)) % 35.94/36.15 (define @t52 () (not (tptp.inner_point @t2 @t51))) % 35.94/36.15 (define @t53 () (not (tptp.part_of @t51 @t1))) % 35.94/36.15 (define @t54 () (or @t31 @t53 @t52)) % 35.94/36.15 (define @t55 () (@list @t1 @t2 @t51)) % 35.94/36.15 (define @t56 () (forall @t55 @t54)) % 35.94/36.15 (define @t57 () (@quantifiers_skolemize @t56 1)) % 35.94/36.15 (define @t58 () (not (tptp.incident_c @t57 @t12))) % 35.94/36.15 (define @t59 () (not (tptp.incident_c @t57 @t4))) % 35.94/36.15 (define @t60 () (@quantifiers_skolemize @t56 2)) % 35.94/36.15 (define @t61 () (forall @t24 (or (not (tptp.part_of @t4 @t60)) (not (tptp.part_of @t12 @t60)) @t59 @t58 @t19 @t18))) % 35.94/36.15 (define @t62 () (@quantifiers_skolemize @t61 1)) % 35.94/36.15 (define @t63 () (@quantifiers_skolemize @t56 0)) % 35.94/36.15 (define @t64 () (not @t21)) % 35.94/36.15 (define @t65 () (not @t5)) % 35.94/36.15 (define @t66 () (not @t22)) % 35.94/36.15 (define @t67 () (not @t8)) % 35.94/36.15 (define @t68 () (or @t67 @t66 @t65 @t64)) % 35.94/36.15 (define @t69 () (@list @t57 @t63)) % 35.94/36.15 (define @t70 () (or @t53 @t52)) % 35.94/36.15 (define @t71 () (or @t70 @t31)) % 35.94/36.15 (define @t72 () (forall @t55 @t71)) % 35.94/36.15 (define @t73 () (@list @t51)) % 35.94/36.15 (define @t74 () (forall @t73 @t71)) % 35.94/36.15 (define @t75 () (forall @t73 @t70)) % 35.94/36.15 (define @t76 () (or @t75 @t31)) % 35.94/36.15 (define @t77 () (forall @t46 (or (not @t44) (not @t43)))) % 35.94/36.15 (define @t78 () (not @t77)) % 35.94/36.15 (define @t79 () (forall @t46 (not @t45))) % 35.94/36.15 (define @t80 () (not @t79)) % 35.94/36.15 (define @t81 () (tptp.part_of @t60 @t63)) % 35.94/36.15 (define @t82 () (tptp.inner_point @t57 @t60)) % 35.94/36.15 (define @t83 () (not @t82)) % 35.94/36.15 (define @t84 () (not @t81)) % 35.94/36.15 (define @t85 () (tptp.inner_point @t57 @t63)) % 35.94/36.15 (define @t86 () (or @t85 @t84 @t83)) % 35.94/36.15 (define @t87 () (@list true)) % 35.94/36.15 (define @t88 () (@list @t86)) % 35.94/36.15 (define @t89 () (tptp.incident_c @t2 @t63)) % 35.94/36.15 (define @t90 () (tptp.incident_c @t2 @t60)) % 35.94/36.15 (define @t91 () (forall @t6 (or (not @t90) @t89))) % 35.94/36.15 (define @t92 () (= @t81 @t91)) % 35.94/36.15 (define @t93 () (@list false false)) % 35.94/36.15 (define @t94 () (@list @t57 @t60)) % 35.94/36.15 (define @t95 () (tptp.end_point @t57 @t60)) % 35.94/36.15 (define @t96 () (not @t95)) % 35.94/36.15 (define @t97 () (tptp.incident_c @t57 @t60)) % 35.94/36.15 (define @t98 () (and @t97 @t96)) % 35.94/36.15 (define @t99 () (= @t82 @t98)) % 35.94/36.15 (define @t100 () (not @t98)) % 35.94/36.15 (define @t101 () (@list false)) % 35.94/36.15 (define @t102 () (@list @t98)) % 35.94/36.15 (define @t103 () (tptp.incident_c @t57 @t63)) % 35.94/36.15 (define @t104 () (not @t97)) % 35.94/36.15 (define @t105 () (or @t104 @t103)) % 35.94/36.15 (define @t106 () (tptp.end_point @t57 @t63)) % 35.94/36.15 (define @t107 () (not @t106)) % 35.94/36.15 (define @t108 () (and @t103 @t107)) % 35.94/36.15 (define @t109 () (= @t85 @t108)) % 35.94/36.15 (define @t110 () (not @t108)) % 35.94/36.15 (define @t111 () (@list true false)) % 35.94/36.15 (define @t112 () (not @t103)) % 35.94/36.15 (define @t113 () (forall @t24 (or (not (tptp.part_of @t4 @t63)) (not (tptp.part_of @t12 @t63)) @t59 @t58 @t19 @t18))) % 35.94/36.15 (define @t114 () (and @t103 @t113)) % 35.94/36.15 (define @t115 () (= @t106 @t114)) % 35.94/36.15 (define @t116 () (@quantifiers_skolemize @t61 0)) % 35.94/36.15 (define @t117 () (not (tptp.incident_c @t2 @t116))) % 35.94/36.15 (define @t118 () (forall @t6 (or @t117 @t89))) % 35.94/36.15 (define @t119 () (@quantifiers_skolemize @t118 0)) % 35.94/36.15 (define @t120 () (tptp.incident_c @t119 @t116)) % 35.94/36.15 (define @t121 () (tptp.incident_c @t119 @t63)) % 35.94/36.15 (define @t122 () (not @t120)) % 35.94/36.15 (define @t123 () (or @t122 @t121)) % 35.94/36.15 (define @t124 () (and @t97 @t61)) % 35.94/36.15 (define @t125 () (= @t95 @t124)) % 35.94/36.15 (define @t126 () (not @t124)) % 35.94/36.15 (define @t127 () (not @t61)) % 35.94/36.15 (define @t128 () (tptp.part_of @t116 @t60)) % 35.94/36.15 (define @t129 () (tptp.part_of @t62 @t116)) % 35.94/36.15 (define @t130 () (tptp.part_of @t116 @t62)) % 35.94/36.15 (define @t131 () (tptp.incident_c @t57 @t62)) % 35.94/36.15 (define @t132 () (not @t131)) % 35.94/36.15 (define @t133 () (tptp.incident_c @t57 @t116)) % 35.94/36.15 (define @t134 () (not @t133)) % 35.94/36.15 (define @t135 () (tptp.part_of @t62 @t60)) % 35.94/36.15 (define @t136 () (not @t135)) % 35.94/36.15 (define @t137 () (not @t128)) % 35.94/36.15 (define @t138 () (or @t137 @t136 @t134 @t132 @t130 @t129)) % 35.94/36.15 (define @t139 () (@list @t138)) % 35.94/36.15 (define @t140 () (forall @t6 (or @t117 @t90))) % 35.94/36.15 (define @t141 () (= @t128 @t140)) % 35.94/36.15 (define @t142 () (@list @t119)) % 35.94/36.15 (define @t143 () (tptp.incident_c @t119 @t60)) % 35.94/36.15 (define @t144 () (or @t122 @t143)) % 35.94/36.15 (define @t145 () (not @t143)) % 35.94/36.15 (define @t146 () (or @t145 @t121)) % 35.94/36.15 (define @t147 () (not @t123)) % 35.94/36.15 (define @t148 () (not @t118)) % 35.94/36.15 (define @t149 () (tptp.part_of @t116 @t63)) % 35.94/36.15 (define @t150 () (= @t149 @t118)) % 35.94/36.15 (define @t151 () (tptp.part_of @t62 @t63)) % 35.94/36.15 (define @t152 () (not @t151)) % 35.94/36.15 (define @t153 () (not @t149)) % 35.94/36.15 (define @t154 () (or @t153 @t152 @t134 @t132 @t130 @t129)) % 35.94/36.15 (define @t155 () (not (tptp.incident_c @t2 @t62))) % 35.94/36.15 (define @t156 () (forall @t6 (or @t155 @t89))) % 35.94/36.15 (define @t157 () (= @t151 @t156)) % 35.94/36.15 (define @t158 () (not @t156)) % 35.94/36.15 (define @t159 () (@quantifiers_skolemize @t156 0)) % 35.94/36.15 (define @t160 () (tptp.incident_c @t159 @t63)) % 35.94/36.15 (define @t161 () (tptp.incident_c @t159 @t62)) % 35.94/36.15 (define @t162 () (not @t161)) % 35.94/36.15 (define @t163 () (or @t162 @t160)) % 35.94/36.15 (define @t164 () (not @t163)) % 35.94/36.15 (define @t165 () (@list @t163)) % 35.94/36.15 (define @t166 () (forall @t6 (or @t155 @t90))) % 35.94/36.15 (define @t167 () (= @t135 @t166)) % 35.94/36.15 (define @t168 () (@list @t159)) % 35.94/36.15 (define @t169 () (tptp.incident_c @t159 @t60)) % 35.94/36.15 (define @t170 () (not @t169)) % 35.94/36.15 (define @t171 () (or @t170 @t160)) % 35.94/36.15 (define @t172 () (or @t162 @t169)) % 35.94/36.15 (assume @p1 @t11) % 35.94/36.15 (assume @p2 (forall (@list @t1 @t4 @t12) (= @t17 (forall @t16 (= @t15 (or @t14 (tptp.incident_c @t13 @t12))))))) % 35.94/36.15 (assume @p3 @t30) % 35.94/36.15 (assume @p4 (forall @t29 (= @t31 (and @t3 (not @t27))))) % 35.94/36.15 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t16 (=> (and @t15 @t14) (and @t33 @t32))))))) % 35.94/36.15 (assume @p6 (forall @t36 (= @t35 (not @t34)))) % 35.94/36.15 (assume @p7 (forall @t36 (= (tptp.open @t1) @t34))) % 35.94/36.15 (assume @p8 (forall @t10 (=> (and @t8 (not (= @t4 @t1))) (tptp.open @t4)))) % 35.94/36.15 (assume @p9 (forall (@list @t1 @t4 @t12 @t37) (=> (and @t8 @t22 (tptp.part_of @t37 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t12) (tptp.end_point @t2 @t37)))) (or (tptp.part_of @t12 @t37) (tptp.part_of @t37 @t12) @t19 @t18 (tptp.part_of @t4 @t37) (tptp.part_of @t37 @t4))))) % 35.94/36.15 (assume @p10 (forall @t36 (exists @t6 @t31))) % 35.94/36.15 (assume @p11 (forall @t39 (=> @t31 (exists @t24 (and @t38 @t17))))) % 35.94/36.15 (assume @p12 (forall (@list @t1 @t2 @t13 @t40) (=> (and @t27 @t33 (tptp.end_point @t40 @t1)) (or @t41 (= @t2 @t40) (= @t13 @t40))))) % 35.94/36.15 (assume @p13 (forall @t39 (=> @t27 (exists @t16 (and @t33 (not @t41)))))) % 35.94/36.15 (assume @p14 (forall (@list @t1 @t4 @t12 @t2) (=> (and @t35 @t38 @t17) (forall @t16 (=> @t32 (tptp.meet @t13 @t4 @t12)))))) % 35.94/36.15 (assume @p15 (forall @t24 (=> (exists @t6 @t38) (exists @t36 @t17)))) % 35.94/36.15 (assume @p16 (forall @t10 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 35.94/36.15 (assume @p17 @t50) % 35.94/36.15 (assume @p18 true) % 35.94/36.15 (step @p19 :rule bool-impl-elim :args (@t5 @t3)) % 35.94/36.15 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 35.94/36.15 (step @p21 :rule refl :args (@t8)) % 35.94/36.15 (step @p22 :rule cong :premises (@p21 @p20) :args (@t9)) % 35.94/36.15 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 35.94/36.15 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 35.94/36.15 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t63 @t62))) % 35.94/36.15 (step @p26 :rule aci_norm :args ((= (or @t68 @t20) (or @t67 @t66 @t65 @t64 @t19 @t18)))) % 35.94/36.15 (step @p27 :rule refl :args (@t20)) % 35.94/36.15 (step @p28 :rule aci_norm :args ((= (or @t67 (or @t66 (or @t65 @t64))) @t68))) % 35.94/36.15 (step @p29 :rule bool-and-de-morgan :args (@t5 @t21 true)) % 35.94/36.15 (step @p30 :rule refl :args (@t66)) % 35.94/36.15 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t66 (not (and @t5 @t21))))) % 35.94/36.15 (step @p32 :rule bool-and-de-morgan :args (@t22 @t5 (and @t21))) % 35.94/36.15 (step @p33 :rule trans :premises (@p32 @p31)) % 35.94/36.15 (step @p34 :rule refl :args (@t67)) % 35.94/36.15 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t67 (not (and @t22 @t5 @t21))))) % 35.94/36.15 (step @p36 :rule bool-and-de-morgan :args (@t8 @t22 (and @t5 @t21))) % 35.94/36.15 (step @p37 :rule trans :premises (@p36 @p35)) % 35.94/36.15 (step @p38 :rule trans :premises (@p37 @p28)) % 35.94/36.15 (step @p39 :rule nary_cong :premises (@p38 @p27) :args ((or (not @t23) @t20))) % 35.94/36.15 (step @p40 :rule trans :premises (@p39 @p26)) % 35.94/36.15 (step @p41 :rule bool-impl-elim :args (@t23 @t20)) % 35.94/36.15 (step @p42 :rule trans :premises (@p41 @p40)) % 35.94/36.15 (step @p43 :rule cong :premises (@p42) :args (@t25)) % 35.94/36.15 (step @p44 :rule refl :args (@t3)) % 35.94/36.15 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t26)) % 35.94/36.15 (step @p46 :rule refl :args (@t27)) % 35.94/36.15 (step @p47 :rule cong :premises (@p46 @p45) :args (@t28)) % 35.94/36.15 (step @p48 :rule cong :premises (@p47) :args (@t30)) % 35.94/36.15 (step @p49 :rule eq_resolve :premises (@p3 @p48)) % 35.94/36.15 (step @p50 :rule instantiate :premises (@p49) :args (@t69)) % 35.94/36.15 (step @p51 :rule instantiate :premises (@p24) :args ((@list @t63 @t60))) % 35.94/36.15 (step @p52 :rule aci_norm :args ((= @t71 @t54))) % 35.94/36.15 (step @p53 :rule cong :premises (@p52) :args (@t72)) % 35.94/36.15 (step @p54 :rule quant-merge-prenex :args ((= (forall @t39 @t74) @t72))) % 35.94/36.15 (step @p55 :rule refl :args (@t31)) % 35.94/36.15 (step @p56 :rule alpha_equiv :args (@t75 (@list @t51) (@list @t42))) % 35.94/36.15 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t76)) % 35.94/36.15 (step @p58 :rule quant-miniscope-or :args ((= @t74 @t76))) % 35.94/36.15 (step @p59 :rule trans :premises (@p58 @p57)) % 35.94/36.15 (step @p60 :rule symm :premises (@p59)) % 35.94/36.15 (step @p61 :rule cong :premises (@p60) :args ((forall @t39 (or @t77 @t31)))) % 35.94/36.15 (step @p62 :rule trans :premises (@p61 @p54)) % 35.94/36.15 (step @p63 :rule trans :premises (@p62 @p53)) % 35.94/36.15 (step @p64 :rule bool-double-not-elim :args (@t77)) % 35.94/36.15 (step @p65 :rule nary_cong :premises (@p64 @p55) :args ((or (not @t78) @t31))) % 35.94/36.15 (step @p66 :rule bool-impl-elim :args (@t78 @t31)) % 35.94/36.15 (step @p67 :rule trans :premises (@p66 @p65)) % 35.94/36.15 (step @p68 :rule cong :premises (@p67) :args ((forall @t39 (=> @t78 @t31)))) % 35.94/36.15 (step @p69 :rule trans :premises (@p68 @p63)) % 35.94/36.15 (step @p70 :rule refl :args (@t31)) % 35.94/36.15 (step @p71 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 35.94/36.15 (step @p72 :rule cong :premises (@p71) :args (@t79)) % 35.94/36.15 (step @p73 :rule cong :premises (@p72) :args (@t80)) % 35.94/36.15 (step @p74 :rule exists-elim :args ((= @t47 @t80))) % 35.94/36.15 (step @p75 :rule trans :premises (@p74 @p73)) % 35.94/36.15 (step @p76 :rule cong :premises (@p75 @p70) :args (@t48)) % 35.94/36.15 (step @p77 :rule cong :premises (@p76) :args (@t49)) % 35.94/36.15 (step @p78 :rule trans :premises (@p77 @p69)) % 35.94/36.15 (step @p79 :rule cong :premises (@p78) :args (@t50)) % 35.94/36.15 (step @p80 :rule eq_resolve :premises (@p17 @p79)) % 35.94/36.15 (step @p81 :rule skolemize :premises (@p80)) % 35.94/36.15 (step @p82 :rule bool-double-not-elim :args (@t81)) % 35.94/36.15 (step @p83 :rule refl :args (@t86)) % 35.94/36.15 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t86 (not @t84)))) % 35.94/36.15 (step @p85 :rule cnf_or_neg :args (@t86 1)) % 35.94/36.15 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 35.94/36.15 (step @p87 :rule reordering :premises (@p86) :args ((or @t81 @t86))) % 35.94/36.15 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t81 @t87 @t88)) % 35.94/36.15 (step @p89 :rule cnf_equiv_pos1 :args (@t92)) % 35.94/36.15 (step @p90 :rule reordering :premises (@p89) :args ((or @t84 @t91 (not @t92)))) % 35.94/36.15 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p51) :args (@t91 @t93 (@list @t81 @t92))) % 35.94/36.15 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t57))) % 35.94/36.15 (step @p93 :rule instantiate :premises (@p4) :args (@t94)) % 35.94/36.15 (step @p94 :rule bool-double-not-elim :args (@t82)) % 35.94/36.15 (step @p95 :rule nary_cong :premises (@p83 @p94) :args ((or @t86 (not @t83)))) % 35.94/36.15 (step @p96 :rule cnf_or_neg :args (@t86 2)) % 35.94/36.15 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 35.94/36.15 (step @p98 :rule reordering :premises (@p97) :args ((or @t82 @t86))) % 35.94/36.15 (step @p99 :rule chain_m_resolution :premises (@p98 @p81) :args (@t82 @t87 @t88)) % 35.94/36.15 (step @p100 :rule cnf_equiv_pos1 :args (@t99)) % 35.94/36.15 (step @p101 :rule reordering :premises (@p100) :args ((or @t83 @t98 (not @t99)))) % 35.94/36.15 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p93) :args (@t98 @t93 (@list @t82 @t99))) % 35.94/36.15 (step @p103 :rule cnf_and_pos :args (@t98 0)) % 35.94/36.15 (step @p104 :rule reordering :premises (@p103) :args ((or @t97 @t100))) % 35.94/36.15 (step @p105 :rule chain_m_resolution :premises (@p104 @p102) :args (@t97 @t101 @t102)) % 35.94/36.15 (step @p106 :rule cnf_or_pos :args (@t105)) % 35.94/36.15 (step @p107 :rule reordering :premises (@p106) :args ((or @t103 @t104 (not @t105)))) % 35.94/36.15 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p92) :args (@t103 @t93 (@list @t97 @t105))) % 35.94/36.15 (step @p109 :rule instantiate :premises (@p4) :args (@t69)) % 35.94/36.15 (step @p110 :rule cnf_or_neg :args (@t86 0)) % 35.94/36.15 (step @p111 :rule chain_m_resolution :premises (@p110 @p81) :args ((not @t85) @t87 @t88)) % 35.94/36.15 (step @p112 :rule cnf_equiv_pos2 :args (@t109)) % 35.94/36.15 (step @p113 :rule reordering :premises (@p112) :args ((or @t85 @t110 (not @t109)))) % 35.94/36.15 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p109) :args (@t110 @t111 (@list @t85 @t109))) % 35.94/36.15 (step @p115 :rule bool-double-not-elim :args (@t106)) % 35.94/36.15 (step @p116 :rule refl :args (@t112)) % 35.94/36.15 (step @p117 :rule refl :args (@t108)) % 35.94/36.15 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115) :args ((or @t108 @t112 (not @t107)))) % 35.94/36.15 (step @p119 :rule cnf_and_neg :args (@t108)) % 35.94/36.15 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 35.94/36.15 (step @p121 :rule reordering :premises (@p120) :args ((or @t106 @t108 @t112))) % 35.94/36.15 (step @p122 :rule chain_m_resolution :premises (@p121 @p114 @p108) :args (@t106 @t111 (@list @t108 @t103))) % 35.94/36.15 (step @p123 :rule cnf_equiv_pos1 :args (@t115)) % 35.94/36.15 (step @p124 :rule reordering :premises (@p123) :args ((or @t107 @t114 (not @t115)))) % 35.94/36.15 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p50) :args (@t114 @t93 (@list @t106 @t115))) % 35.94/36.15 (step @p126 :rule cnf_and_pos :args (@t114 1)) % 35.94/36.15 (step @p127 :rule reordering :premises (@p126) :args ((or @t113 (not @t114)))) % 35.94/36.15 (step @p128 :rule chain_m_resolution :premises (@p127 @p125) :args (@t113 @t101 (@list @t114))) % 35.94/36.15 (step @p129 :rule instantiate :premises (@p128) :args ((@list @t116 @t62))) % 35.94/36.15 (step @p130 :rule instantiate :premises (@p24) :args ((@list @t63 @t116))) % 35.94/36.15 (step @p131 :rule bool-double-not-elim :args (@t120)) % 35.94/36.15 (step @p132 :rule refl :args (@t123)) % 35.94/36.15 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t123 (not @t122)))) % 35.94/36.15 (step @p134 :rule cnf_or_neg :args (@t123 0)) % 35.94/36.15 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 35.94/36.15 (step @p136 :rule reordering :premises (@p135) :args ((or @t120 @t123))) % 35.94/36.15 (step @p137 :rule cnf_or_neg :args (@t123 1)) % 35.94/36.15 (step @p138 :rule instantiate :premises (@p24) :args ((@list @t60 @t116))) % 35.94/36.15 (step @p139 :rule instantiate :premises (@p49) :args (@t94)) % 35.94/36.15 (step @p140 :rule cnf_and_pos :args (@t98 1)) % 35.94/36.15 (step @p141 :rule reordering :premises (@p140) :args ((or @t96 @t100))) % 35.94/36.15 (step @p142 :rule chain_m_resolution :premises (@p141 @p102) :args (@t96 @t101 @t102)) % 35.94/36.15 (step @p143 :rule cnf_equiv_pos2 :args (@t125)) % 35.94/36.15 (step @p144 :rule reordering :premises (@p143) :args ((or @t95 @t126 (not @t125)))) % 35.94/36.15 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p139) :args (@t126 @t111 (@list @t95 @t125))) % 35.94/36.15 (step @p146 :rule cnf_and_neg :args (@t124)) % 35.94/36.15 (step @p147 :rule reordering :premises (@p146) :args ((or @t104 @t124 @t127))) % 35.94/36.15 (step @p148 :rule chain_m_resolution :premises (@p147 @p105 @p145) :args (@t127 (@list false true) (@list @t97 @t124))) % 35.94/36.15 (step @p149 :rule skolemize :premises (@p148)) % 35.94/36.15 (step @p150 :rule bool-double-not-elim :args (@t128)) % 35.94/36.15 (step @p151 :rule refl :args (@t138)) % 35.94/36.15 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t138 (not @t137)))) % 35.94/36.15 (step @p153 :rule cnf_or_neg :args (@t138 0)) % 35.94/36.15 (step @p154 :rule eq_resolve :premises (@p153 @p152)) % 35.94/36.15 (step @p155 :rule reordering :premises (@p154) :args ((or @t128 @t138))) % 35.94/36.15 (step @p156 :rule chain_m_resolution :premises (@p155 @p149) :args (@t128 @t87 @t139)) % 35.94/36.15 (step @p157 :rule cnf_equiv_pos1 :args (@t141)) % 35.94/36.15 (step @p158 :rule reordering :premises (@p157) :args ((or @t137 @t140 (not @t141)))) % 35.94/36.15 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p138) :args (@t140 @t93 (@list @t128 @t141))) % 35.94/36.15 (step @p160 :rule instantiate :premises (@p159) :args (@t142)) % 35.94/36.15 (step @p161 :rule cnf_or_pos :args (@t144)) % 35.94/36.15 (step @p162 :rule reordering :premises (@p161) :args ((or @t122 @t143 (not @t144)))) % 35.94/36.15 (step @p163 :rule instantiate :premises (@p91) :args (@t142)) % 35.94/36.15 (step @p164 :rule cnf_or_pos :args (@t146)) % 35.94/36.15 (step @p165 :rule reordering :premises (@p164) :args ((or @t121 @t145 (not @t146)))) % 35.94/36.15 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p162 @p160 @p137 @p136) :args (@t123 (@list false false false true false) (@list @t146 @t143 @t144 @t121 @t120))) % 35.94/36.15 (step @p167 :rule refl :args (@t147)) % 35.94/36.15 (step @p168 :rule bool-double-not-elim :args (@t118)) % 35.94/36.15 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or (not @t148) @t147))) % 35.94/36.15 (assume-push @p239 @t148) % 35.94/36.15 (step @p171 :rule skolemize :premises (@p239)) % 35.94/36.15 (step-pop @p240 :rule scope :premises (@p171)) % 35.94/36.15 (step @p172 :rule process_scope :premises (@p240) :args (@t147)) % 35.94/36.15 (step @p174 :rule implies_elim :premises (@p172)) % 35.94/36.15 (step @p175 :rule eq_resolve :premises (@p174 @p169)) % 35.94/36.15 (step @p176 :rule chain_m_resolution :premises (@p175 @p166) :args (@t118 @t101 (@list @t123))) % 35.94/36.15 (step @p177 :rule cnf_equiv_pos2 :args (@t150)) % 35.94/36.15 (step @p178 :rule reordering :premises (@p177) :args ((or @t149 @t148 (not @t150)))) % 35.94/36.15 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p130) :args (@t149 @t93 (@list @t118 @t150))) % 35.94/36.15 (step @p180 :rule cnf_or_neg :args (@t138 5)) % 35.94/36.15 (step @p181 :rule chain_m_resolution :premises (@p180 @p149) :args ((not @t129) @t87 @t139)) % 35.94/36.15 (step @p182 :rule cnf_or_neg :args (@t138 4)) % 35.94/36.15 (step @p183 :rule chain_m_resolution :premises (@p182 @p149) :args ((not @t130) @t87 @t139)) % 35.94/36.15 (step @p184 :rule bool-double-not-elim :args (@t131)) % 35.94/36.15 (step @p185 :rule nary_cong :premises (@p151 @p184) :args ((or @t138 (not @t132)))) % 35.94/36.15 (step @p186 :rule cnf_or_neg :args (@t138 3)) % 35.94/36.15 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 35.94/36.15 (step @p188 :rule reordering :premises (@p187) :args ((or @t131 @t138))) % 35.94/36.15 (step @p189 :rule chain_m_resolution :premises (@p188 @p149) :args (@t131 @t87 @t139)) % 35.94/36.15 (step @p190 :rule bool-double-not-elim :args (@t133)) % 35.94/36.15 (step @p191 :rule nary_cong :premises (@p151 @p190) :args ((or @t138 (not @t134)))) % 35.94/36.15 (step @p192 :rule cnf_or_neg :args (@t138 2)) % 35.94/36.15 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 35.94/36.15 (step @p194 :rule reordering :premises (@p193) :args ((or @t133 @t138))) % 35.94/36.15 (step @p195 :rule chain_m_resolution :premises (@p194 @p149) :args (@t133 @t87 @t139)) % 35.94/36.15 (step @p196 :rule cnf_or_pos :args (@t154)) % 35.94/36.15 (step @p197 :rule reordering :premises (@p196) :args ((or @t134 @t132 @t130 @t129 @t153 @t152 (not @t154)))) % 35.94/36.15 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p189 @p183 @p181 @p179 @p129) :args (@t152 (@list false false true true false false) (@list @t133 @t131 @t130 @t129 @t149 @t154))) % 35.94/36.16 (step @p199 :rule cnf_equiv_pos2 :args (@t157)) % 35.94/36.16 (step @p200 :rule reordering :premises (@p199) :args ((or @t151 @t158 (not @t157)))) % 35.94/36.16 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p25) :args (@t158 @t111 (@list @t151 @t157))) % 35.94/36.16 (step @p202 :rule refl :args (@t164)) % 35.94/36.16 (step @p203 :rule bool-double-not-elim :args (@t156)) % 35.94/36.16 (step @p204 :rule nary_cong :premises (@p203 @p202) :args ((or (not @t158) @t164))) % 35.94/36.16 (assume-push @p241 @t158) % 35.94/36.16 (step @p206 :rule skolemize :premises (@p241)) % 35.94/36.16 (step-pop @p242 :rule scope :premises (@p206)) % 35.94/36.16 (step @p207 :rule process_scope :premises (@p242) :args (@t164)) % 35.94/36.16 (step @p209 :rule implies_elim :premises (@p207)) % 35.94/36.16 (step @p210 :rule eq_resolve :premises (@p209 @p204)) % 35.94/36.16 (step @p211 :rule chain_m_resolution :premises (@p210 @p201) :args (@t164 @t87 (@list @t156))) % 35.94/36.16 (step @p212 :rule bool-double-not-elim :args (@t161)) % 35.94/36.16 (step @p213 :rule refl :args (@t163)) % 35.94/36.16 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or @t163 (not @t162)))) % 35.94/36.16 (step @p215 :rule cnf_or_neg :args (@t163 0)) % 35.94/36.16 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 35.94/36.16 (step @p217 :rule reordering :premises (@p216) :args ((or @t161 @t163))) % 35.94/36.16 (step @p218 :rule chain_m_resolution :premises (@p217 @p211) :args (@t161 @t87 @t165)) % 35.94/36.16 (step @p219 :rule instantiate :premises (@p24) :args ((@list @t60 @t62))) % 35.94/36.16 (step @p220 :rule bool-double-not-elim :args (@t135)) % 35.94/36.16 (step @p221 :rule nary_cong :premises (@p151 @p220) :args ((or @t138 (not @t136)))) % 35.94/36.16 (step @p222 :rule cnf_or_neg :args (@t138 1)) % 35.94/36.16 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 35.94/36.16 (step @p224 :rule reordering :premises (@p223) :args ((or @t135 @t138))) % 35.94/36.16 (step @p225 :rule chain_m_resolution :premises (@p224 @p149) :args (@t135 @t87 @t139)) % 35.94/36.16 (step @p226 :rule cnf_equiv_pos1 :args (@t167)) % 35.94/36.16 (step @p227 :rule reordering :premises (@p226) :args ((or @t136 @t166 (not @t167)))) % 35.94/36.16 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p219) :args (@t166 @t93 (@list @t135 @t167))) % 35.94/36.16 (step @p229 :rule instantiate :premises (@p228) :args (@t168)) % 35.94/36.16 (step @p230 :rule instantiate :premises (@p91) :args (@t168)) % 35.94/36.16 (step @p231 :rule cnf_or_neg :args (@t163 1)) % 35.94/36.16 (step @p232 :rule chain_m_resolution :premises (@p231 @p211) :args ((not @t160) @t87 @t165)) % 35.94/36.16 (step @p233 :rule cnf_or_pos :args (@t171)) % 35.94/36.16 (step @p234 :rule reordering :premises (@p233) :args ((or @t160 @t170 (not @t171)))) % 35.94/36.16 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p230) :args (@t170 @t111 (@list @t160 @t171))) % 35.94/36.16 (step @p236 :rule cnf_or_pos :args (@t172)) % 35.94/36.16 (step @p237 :rule reordering :premises (@p236) :args ((or @t162 @t169 (not @t172)))) % 35.94/36.16 (step @p238 false :rule chain_m_resolution :premises (@p237 @p235 @p229 @p218) :args (false (@list true false false) (@list @t169 @t172 @t161))) % 35.94/36.16 ) % 35.94/36.16 % SZS output end Proof % 35.94/36.16 % cvc5 exiting %------------------------------------------------------------------------------