%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO124+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 : n023.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 08:16:24 AM UTC 2026 % Result : Theorem 0.45s 0.66s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO124+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 % 0.16/0.34 % Computer : n023.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 23:26:58 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.66 % SZS status Theorem % 0.45/0.66 % SZS output start Proof % 0.45/0.66 ( % 0.45/0.66 (declare-sort $$unsorted 0) % 0.45/0.66 (declare-const tptp.finish_point (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.open (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.ordered_by (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.start_point (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.between_o (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.underlying_curve (-> $$unsorted $$unsorted)) % 0.45/0.66 (declare-const tptp.between_c (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.66 (declare-const tptp.incident_o (-> $$unsorted $$unsorted Bool)) % 0.45/0.66 (define @t1 () (@var "C" $$unsorted)) % 0.45/0.66 (define @t2 () (@var "P" $$unsorted)) % 0.45/0.66 (define @t3 () (tptp.incident_c @t2 @t1)) % 0.45/0.66 (define @t4 () (@var "C1" $$unsorted)) % 0.45/0.66 (define @t5 () (tptp.incident_c @t2 @t4)) % 0.45/0.66 (define @t6 () (@list @t2)) % 0.45/0.66 (define @t7 () (tptp.part_of @t4 @t1)) % 0.45/0.66 (define @t8 () (@list @t1 @t4)) % 0.45/0.66 (define @t9 () (@var "C2" $$unsorted)) % 0.45/0.66 (define @t10 () (@var "Q" $$unsorted)) % 0.45/0.66 (define @t11 () (tptp.incident_c @t10 @t4)) % 0.45/0.66 (define @t12 () (tptp.incident_c @t10 @t1)) % 0.45/0.66 (define @t13 () (@list @t10)) % 0.45/0.66 (define @t14 () (= @t1 (tptp.sum @t4 @t9))) % 0.45/0.66 (define @t15 () (tptp.part_of @t9 @t4)) % 0.45/0.66 (define @t16 () (tptp.part_of @t4 @t9)) % 0.45/0.66 (define @t17 () (tptp.part_of @t9 @t1)) % 0.45/0.66 (define @t18 () (@list @t4 @t9)) % 0.45/0.66 (define @t19 () (tptp.end_point @t2 @t1)) % 0.45/0.66 (define @t20 () (@list @t2 @t1)) % 0.45/0.66 (define @t21 () (tptp.inner_point @t2 @t1)) % 0.45/0.66 (define @t22 () (tptp.end_point @t10 @t4)) % 0.45/0.66 (define @t23 () (tptp.end_point @t10 @t1)) % 0.45/0.66 (define @t24 () (exists @t6 @t19)) % 0.45/0.66 (define @t25 () (tptp.closed @t1)) % 0.45/0.66 (define @t26 () (@list @t1)) % 0.45/0.66 (define @t27 () (tptp.open @t1)) % 0.45/0.66 (define @t28 () (@var "C3" $$unsorted)) % 0.45/0.66 (define @t29 () (tptp.meet @t2 @t4 @t9)) % 0.45/0.66 (define @t30 () (@list @t1 @t2)) % 0.45/0.66 (define @t31 () (@var "R" $$unsorted)) % 0.45/0.66 (define @t32 () (= @t2 @t31)) % 0.45/0.66 (define @t33 () (= @t2 @t10)) % 0.45/0.66 (define @t34 () (@list @t1 @t2 @t10 @t31)) % 0.45/0.66 (define @t35 () (not @t33)) % 0.45/0.66 (define @t36 () (@var "Cpp" $$unsorted)) % 0.45/0.66 (define @t37 () (tptp.inner_point @t10 @t36)) % 0.45/0.66 (define @t38 () (tptp.end_point @t31 @t36)) % 0.45/0.66 (define @t39 () (tptp.end_point @t2 @t36)) % 0.45/0.66 (define @t40 () (tptp.part_of @t36 @t1)) % 0.45/0.66 (define @t41 () (and @t40 @t39 @t38 @t37)) % 0.45/0.66 (define @t42 () (@list @t36)) % 0.45/0.66 (define @t43 () (exists @t42 @t41)) % 0.45/0.66 (define @t44 () (not @t32)) % 0.45/0.66 (define @t45 () (and @t44 @t43)) % 0.45/0.66 (define @t46 () (tptp.between_c @t1 @t2 @t10 @t31)) % 0.45/0.66 (define @t47 () (= @t46 @t45)) % 0.45/0.66 (define @t48 () (forall @t34 @t47)) % 0.45/0.66 (define @t49 () (@var "O" $$unsorted)) % 0.45/0.66 (define @t50 () (tptp.ordered_by @t49 @t10 @t2)) % 0.45/0.66 (define @t51 () (tptp.ordered_by @t49 @t2 @t10)) % 0.45/0.66 (define @t52 () (tptp.between_o @t49 @t2 @t10 @t31)) % 0.45/0.66 (define @t53 () (forall (@list @t49 @t2 @t10 @t31) (= @t52 (or (and @t51 (tptp.ordered_by @t49 @t10 @t31)) (and (tptp.ordered_by @t49 @t31 @t10) @t50))))) % 0.45/0.66 (define @t54 () (tptp.incident_o @t10 @t49)) % 0.45/0.66 (define @t55 () (and @t35 @t54)) % 0.45/0.66 (define @t56 () (forall @t13 (=> @t55 @t51))) % 0.45/0.66 (define @t57 () (tptp.incident_o @t2 @t49)) % 0.45/0.66 (define @t58 () (and @t57 @t56)) % 0.45/0.66 (define @t59 () (tptp.start_point @t2 @t49)) % 0.45/0.66 (define @t60 () (= @t59 @t58)) % 0.45/0.66 (define @t61 () (@list @t2 @t49)) % 0.45/0.66 (define @t62 () (forall @t61 @t60)) % 0.45/0.66 (define @t63 () (@list @t49 @t2 @t10)) % 0.45/0.66 (define @t64 () (forall @t6 (= @t57 @t3))) % 0.45/0.66 (define @t65 () (@list @t49)) % 0.45/0.66 (define @t66 () (and @t64 @t46)) % 0.45/0.66 (define @t67 () (exists @t26 @t66)) % 0.45/0.66 (define @t68 () (= @t52 @t67)) % 0.45/0.66 (define @t69 () (@list @t2 @t10 @t31 @t49)) % 0.45/0.66 (define @t70 () (forall @t69 @t68)) % 0.45/0.66 (define @t71 () (@var "O2" $$unsorted)) % 0.45/0.66 (define @t72 () (@var "O1" $$unsorted)) % 0.45/0.66 (define @t73 () (tptp.start_point @t10 @t49)) % 0.45/0.66 (define @t74 () (and @t59 @t73)) % 0.45/0.66 (define @t75 () (forall @t63 (=> @t74 @t33))) % 0.45/0.66 (define @t76 () (not @t75)) % 0.45/0.66 (define @t77 () (not @t37)) % 0.45/0.66 (define @t78 () (not @t38)) % 0.45/0.66 (define @t79 () (not @t39)) % 0.45/0.66 (define @t80 () (not @t40)) % 0.45/0.66 (define @t81 () (or @t80 @t79 @t78 @t77)) % 0.45/0.66 (define @t82 () (forall @t42 (not @t41))) % 0.45/0.66 (define @t83 () (not @t82)) % 0.45/0.66 (define @t84 () (not @t46)) % 0.45/0.66 (define @t85 () (forall @t6 (= @t3 @t57))) % 0.45/0.66 (define @t86 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 0.45/0.66 (define @t87 () (not @t85)) % 0.45/0.66 (define @t88 () (or @t87 @t84)) % 0.45/0.66 (define @t89 () (forall @t26 @t88)) % 0.45/0.66 (define @t90 () (not @t89)) % 0.45/0.66 (define @t91 () (= @t52 @t90)) % 0.45/0.66 (define @t92 () (and @t85 @t46)) % 0.45/0.66 (define @t93 () (forall @t26 (not @t92))) % 0.45/0.66 (define @t94 () (not @t93)) % 0.45/0.66 (define @t95 () (not @t73)) % 0.45/0.66 (define @t96 () (not @t59)) % 0.45/0.66 (define @t97 () (or @t96 @t95 @t33)) % 0.45/0.66 (define @t98 () (forall @t63 @t97)) % 0.45/0.66 (define @t99 () (@quantifiers_skolemize @t98 0)) % 0.45/0.66 (define @t100 () (@quantifiers_skolemize @t98 1)) % 0.45/0.66 (define @t101 () (@quantifiers_skolemize @t98 2)) % 0.45/0.66 (define @t102 () (tptp.ordered_by @t99 @t101 @t100)) % 0.45/0.66 (define @t103 () (tptp.ordered_by @t99 @t100 @t101)) % 0.45/0.66 (define @t104 () (and @t103 @t102)) % 0.45/0.66 (define @t105 () (or @t104 @t104)) % 0.45/0.66 (define @t106 () (tptp.between_o @t99 @t100 @t101 @t100)) % 0.45/0.66 (define @t107 () (= @t106 @t105)) % 0.45/0.66 (define @t108 () (= @t106 @t104)) % 0.45/0.66 (define @t109 () (@list false)) % 0.45/0.66 (define @t110 () (not @t54)) % 0.45/0.66 (define @t111 () (or @t33 @t110 @t51)) % 0.45/0.66 (define @t112 () (tptp.ordered_by @t99 @t101 @t10)) % 0.45/0.66 (define @t113 () (not (tptp.incident_o @t10 @t99))) % 0.45/0.66 (define @t114 () (or (= @t101 @t10) @t113 @t112)) % 0.45/0.66 (define @t115 () (forall @t13 @t114)) % 0.45/0.66 (define @t116 () (tptp.incident_o @t101 @t99)) % 0.45/0.66 (define @t117 () (and @t116 @t115)) % 0.45/0.66 (define @t118 () (tptp.start_point @t101 @t99)) % 0.45/0.66 (define @t119 () (= @t118 @t117)) % 0.45/0.66 (define @t120 () (forall @t61 (= @t59 (and @t57 (forall @t13 @t111))))) % 0.45/0.66 (define @t121 () (forall @t13 (or (= @t10 @t101) @t113 @t112))) % 0.45/0.66 (define @t122 () (and @t116 @t121)) % 0.45/0.66 (define @t123 () (= @t118 @t122)) % 0.45/0.66 (define @t124 () (@list @t120)) % 0.45/0.66 (define @t125 () (= @t100 @t101)) % 0.45/0.66 (define @t126 () (not @t118)) % 0.45/0.66 (define @t127 () (tptp.start_point @t100 @t99)) % 0.45/0.66 (define @t128 () (not @t127)) % 0.45/0.66 (define @t129 () (or @t128 @t126 @t125)) % 0.45/0.66 (define @t130 () (@list true)) % 0.45/0.66 (define @t131 () (@list @t129)) % 0.45/0.66 (define @t132 () (@list false false)) % 0.45/0.66 (define @t133 () (not @t122)) % 0.45/0.66 (define @t134 () (@list @t122)) % 0.45/0.66 (define @t135 () (tptp.ordered_by @t99 @t100 @t10)) % 0.45/0.66 (define @t136 () (or (= @t100 @t10) @t113 @t135)) % 0.45/0.66 (define @t137 () (forall @t13 @t136)) % 0.45/0.66 (define @t138 () (tptp.incident_o @t100 @t99)) % 0.45/0.66 (define @t139 () (and @t138 @t137)) % 0.45/0.66 (define @t140 () (= @t127 @t139)) % 0.45/0.66 (define @t141 () (forall @t13 (or (= @t10 @t100) @t113 @t135))) % 0.45/0.66 (define @t142 () (and @t138 @t141)) % 0.45/0.66 (define @t143 () (= @t127 @t142)) % 0.45/0.66 (define @t144 () (not @t142)) % 0.45/0.66 (define @t145 () (@list @t142)) % 0.45/0.66 (define @t146 () (not @t138)) % 0.45/0.66 (define @t147 () (or @t125 @t146 @t102)) % 0.45/0.66 (define @t148 () (@list true false false)) % 0.45/0.66 (define @t149 () (not @t116)) % 0.45/0.66 (define @t150 () (or (= @t101 @t100) @t149 @t103)) % 0.45/0.66 (define @t151 () (or @t125 @t149 @t103)) % 0.45/0.66 (define @t152 () (tptp.incident_o @t86 @t99)) % 0.45/0.66 (define @t153 () (@list @t86)) % 0.45/0.66 (define @t154 () (forall @t26 (or (not (forall @t153 (= (tptp.incident_c @t86 @t1) @t152))) (not (tptp.between_c @t1 @t100 @t101 @t100))))) % 0.45/0.66 (define @t155 () (not @t154)) % 0.45/0.66 (define @t156 () (= @t106 @t155)) % 0.45/0.66 (define @t157 () (@quantifiers_skolemize @t154 0)) % 0.45/0.66 (define @t158 () (tptp.between_c @t157 @t100 @t101 @t100)) % 0.45/0.66 (define @t159 () (not @t158)) % 0.45/0.66 (define @t160 () (tptp.incident_c @t86 @t157)) % 0.45/0.66 (define @t161 () (or (not (forall @t153 (= @t152 @t160))) @t159)) % 0.45/0.66 (define @t162 () (not @t161)) % 0.45/0.66 (define @t163 () (forall @t153 (= @t160 @t152))) % 0.45/0.66 (define @t164 () (not @t163)) % 0.45/0.66 (define @t165 () (or @t164 @t159)) % 0.45/0.66 (define @t166 () (not @t165)) % 0.45/0.66 (define @t167 () (not (tptp.inner_point @t101 @t36))) % 0.45/0.66 (define @t168 () (not (tptp.end_point @t100 @t36))) % 0.45/0.66 (define @t169 () (not (tptp.part_of @t36 @t157))) % 0.45/0.66 (define @t170 () (or @t169 @t168 @t167)) % 0.45/0.66 (define @t171 () (or @t169 @t168 @t168 @t167)) % 0.45/0.66 (define @t172 () (forall @t42 @t171)) % 0.45/0.66 (define @t173 () (not @t172)) % 0.45/0.66 (define @t174 () (not (= @t100 @t100))) % 0.45/0.66 (define @t175 () (and @t174 @t173)) % 0.45/0.66 (define @t176 () (= @t158 @t175)) % 0.45/0.66 (define @t177 () (forall @t34 (= @t46 (and @t44 (not (forall @t42 @t81)))))) % 0.45/0.66 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 0.45/0.66 (assume @p2 (forall (@list @t1 @t4 @t9) (= @t14 (forall @t13 (= @t12 (or @t11 (tptp.incident_c @t10 @t9))))))) % 0.45/0.66 (assume @p3 (forall @t20 (= @t19 (and @t3 (forall @t18 (=> (and @t7 @t17 @t5 (tptp.incident_c @t2 @t9)) (or @t16 @t15))))))) % 0.45/0.66 (assume @p4 (forall @t20 (= @t21 (and @t3 (not @t19))))) % 0.45/0.66 (assume @p5 (forall (@list @t2 @t1 @t4) (= (tptp.meet @t2 @t1 @t4) (and @t3 @t5 (forall @t13 (=> (and @t12 @t11) (and @t23 @t22))))))) % 0.45/0.66 (assume @p6 (forall @t26 (= @t25 (not @t24)))) % 0.45/0.66 (assume @p7 (forall @t26 (= @t27 @t24))) % 0.45/0.66 (assume @p8 (forall @t8 (=> (and @t7 (not (= @t4 @t1))) (tptp.open @t4)))) % 0.45/0.66 (assume @p9 (forall (@list @t1 @t4 @t9 @t28) (=> (and @t7 @t17 (tptp.part_of @t28 @t1) (exists @t6 (and (tptp.end_point @t2 @t4) (tptp.end_point @t2 @t9) (tptp.end_point @t2 @t28)))) (or (tptp.part_of @t9 @t28) (tptp.part_of @t28 @t9) @t16 @t15 (tptp.part_of @t4 @t28) (tptp.part_of @t28 @t4))))) % 0.45/0.66 (assume @p10 (forall @t26 (exists @t6 @t21))) % 0.45/0.66 (assume @p11 (forall @t30 (=> @t21 (exists @t18 (and @t29 @t14))))) % 0.45/0.66 (assume @p12 (forall @t34 (=> (and @t19 @t23 (tptp.end_point @t31 @t1)) (or @t33 @t32 (= @t10 @t31))))) % 0.45/0.66 (assume @p13 (forall @t30 (=> @t19 (exists @t13 (and @t23 @t35))))) % 0.45/0.66 (assume @p14 (forall (@list @t1 @t4 @t9 @t2) (=> (and @t25 @t29 @t14) (forall @t13 (=> @t22 (tptp.meet @t10 @t4 @t9)))))) % 0.45/0.66 (assume @p15 (forall @t18 (=> (exists @t6 @t29) (exists @t26 @t14)))) % 0.45/0.66 (assume @p16 (forall @t8 (=> (forall @t6 (= @t3 @t5)) (= @t1 @t4)))) % 0.45/0.66 (assume @p17 @t48) % 0.45/0.66 (assume @p18 @t53) % 0.45/0.66 (assume @p19 @t62) % 0.45/0.66 (assume @p20 (forall @t61 (= (tptp.finish_point @t2 @t49) (and @t57 (forall @t13 (=> @t55 @t50)))))) % 0.45/0.66 (assume @p21 (forall @t63 (=> @t51 (and @t57 @t54)))) % 0.45/0.66 (assume @p22 (forall @t65 (exists @t26 (and @t27 @t64)))) % 0.45/0.66 (assume @p23 @t70) % 0.45/0.66 (assume @p24 (forall @t65 (exists @t6 @t59))) % 0.45/0.66 (assume @p25 (forall (@list @t2 @t10 @t1) (=> (and @t27 @t35 @t3 @t12) (exists @t65 (and (forall (@list @t31) (= (tptp.incident_o @t31 @t49) (tptp.incident_c @t31 @t1))) @t51))))) % 0.45/0.66 (assume @p26 (forall (@list @t72 @t71) (=> (forall (@list @t2 @t10) (= (tptp.ordered_by @t72 @t2 @t10) (tptp.ordered_by @t71 @t2 @t10))) (= @t72 @t71)))) % 0.45/0.66 (assume @p27 (forall (@list @t1 @t49) (= (= @t1 (tptp.underlying_curve @t49)) @t64))) % 0.45/0.66 (assume @p28 @t76) % 0.45/0.66 (assume @p29 true) % 0.45/0.66 (step @p30 :rule aci_norm :args ((= (or @t80 (or @t79 (or @t78 @t77))) @t81))) % 0.45/0.66 (step @p31 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.45/0.66 (step @p32 :rule refl :args (@t79)) % 0.45/0.66 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t79 (not (and @t38 @t37))))) % 0.45/0.66 (step @p34 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37))) % 0.45/0.66 (step @p35 :rule trans :premises (@p34 @p33)) % 0.45/0.66 (step @p36 :rule refl :args (@t80)) % 0.45/0.66 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t80 (not (and @t39 @t38 @t37))))) % 0.45/0.66 (step @p38 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38 @t37))) % 0.45/0.66 (step @p39 :rule trans :premises (@p38 @p37)) % 0.45/0.66 (step @p40 :rule trans :premises (@p39 @p30)) % 0.45/0.66 (step @p41 :rule cong :premises (@p40) :args (@t82)) % 0.45/0.66 (step @p42 :rule cong :premises (@p41) :args (@t83)) % 0.45/0.66 (step @p43 :rule exists-elim :args ((= @t43 @t83))) % 0.45/0.66 (step @p44 :rule trans :premises (@p43 @p42)) % 0.45/0.66 (step @p45 :rule refl :args (@t44)) % 0.45/0.66 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t45)) % 0.45/0.66 (step @p47 :rule refl :args (@t46)) % 0.45/0.66 (step @p48 :rule cong :premises (@p47 @p46) :args (@t47)) % 0.45/0.66 (step @p49 :rule cong :premises (@p48) :args (@t48)) % 0.45/0.66 (step @p50 :rule eq_resolve :premises (@p17 @p49)) % 0.45/0.66 (step @p51 :rule refl :args (@t84)) % 0.45/0.66 (step @p52 :rule alpha_equiv :args (@t85 (@list @t2) (@list @t86))) % 0.45/0.66 (step @p53 :rule cong :premises (@p52) :args (@t87)) % 0.45/0.66 (step @p54 :rule nary_cong :premises (@p53 @p51) :args (@t88)) % 0.45/0.66 (step @p55 :rule cong :premises (@p54) :args (@t89)) % 0.45/0.66 (step @p56 :rule cong :premises (@p55) :args (@t90)) % 0.45/0.66 (step @p57 :rule refl :args (@t52)) % 0.45/0.66 (step @p58 :rule cong :premises (@p57 @p56) :args (@t91)) % 0.45/0.66 (step @p59 :rule cong :premises (@p58) :args ((forall @t69 @t91))) % 0.45/0.66 (step @p60 :rule bool-and-de-morgan :args (@t85 @t46 true)) % 0.45/0.66 (step @p61 :rule cong :premises (@p60) :args (@t93)) % 0.45/0.66 (step @p62 :rule cong :premises (@p61) :args (@t94)) % 0.45/0.66 (step @p63 :rule exists-elim :args ((= (exists @t26 @t92) @t94))) % 0.45/0.66 (step @p64 :rule trans :premises (@p63 @p62)) % 0.45/0.66 (step @p65 :rule eq-symm :args (@t57 @t3)) % 0.45/0.66 (step @p66 :rule cong :premises (@p65) :args (@t64)) % 0.45/0.66 (step @p67 :rule nary_cong :premises (@p66 @p47) :args (@t66)) % 0.45/0.66 (step @p68 :rule cong :premises (@p67) :args (@t67)) % 0.45/0.66 (step @p69 :rule trans :premises (@p68 @p64)) % 0.45/0.66 (step @p70 :rule refl :args (@t52)) % 0.45/0.66 (step @p71 :rule cong :premises (@p70 @p69) :args (@t68)) % 0.45/0.66 (step @p72 :rule cong :premises (@p71) :args (@t70)) % 0.45/0.66 (step @p73 :rule trans :premises (@p72 @p59)) % 0.45/0.66 (step @p74 :rule eq_resolve :premises (@p23 @p73)) % 0.45/0.66 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t100 @t101 @t100 @t99))) % 0.45/0.66 (step @p76 :rule aci_norm :args ((= @t105 @t104))) % 0.45/0.66 (step @p77 :rule refl :args (@t106)) % 0.45/0.66 (step @p78 :rule cong :premises (@p77 @p76) :args (@t107)) % 0.45/0.66 (step @p79 :rule refl :args (@t53)) % 0.45/0.66 (step @p80 :rule cong :premises (@p79 @p78) :args ((=> @t53 @t107))) % 0.45/0.66 (assume-push @p262 @t53) % 0.45/0.66 (step @p82 :rule instantiate :premises (@p18) :args ((@list @t99 @t100 @t101 @t100))) % 0.45/0.66 (step-pop @p263 :rule scope :premises (@p82)) % 0.45/0.66 (step @p83 :rule process_scope :premises (@p263) :args (@t107)) % 0.45/0.66 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 0.45/0.66 (step @p86 :rule implies_elim :premises (@p85)) % 0.45/0.66 (step @p87 :rule chain_m_resolution :premises (@p86 @p18) :args (@t108 @t109 (@list @t53))) % 0.45/0.66 (step @p88 :rule aci_norm :args ((= (or (or @t33 @t110) @t51) @t111))) % 0.45/0.66 (step @p89 :rule refl :args (@t51)) % 0.45/0.66 (step @p90 :rule refl :args (@t110)) % 0.45/0.66 (step @p91 :rule bool-double-not-elim :args (@t33)) % 0.45/0.66 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t35) @t110))) % 0.45/0.66 (step @p93 :rule bool-and-de-morgan :args (@t35 @t54 true)) % 0.45/0.66 (step @p94 :rule trans :premises (@p93 @p92)) % 0.45/0.66 (step @p95 :rule nary_cong :premises (@p94 @p89) :args ((or (not @t55) @t51))) % 0.45/0.66 (step @p96 :rule trans :premises (@p95 @p88)) % 0.45/0.66 (step @p97 :rule bool-impl-elim :args (@t55 @t51)) % 0.45/0.66 (step @p98 :rule trans :premises (@p97 @p96)) % 0.45/0.66 (step @p99 :rule cong :premises (@p98) :args (@t56)) % 0.45/0.66 (step @p100 :rule refl :args (@t57)) % 0.45/0.66 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t58)) % 0.45/0.66 (step @p102 :rule refl :args (@t59)) % 0.45/0.66 (step @p103 :rule cong :premises (@p102 @p101) :args (@t60)) % 0.45/0.66 (step @p104 :rule cong :premises (@p103) :args (@t62)) % 0.45/0.66 (step @p105 :rule eq_resolve :premises (@p19 @p104)) % 0.45/0.66 (step @p106 :rule refl :args (@t112)) % 0.45/0.66 (step @p107 :rule refl :args (@t113)) % 0.45/0.66 (step @p108 :rule eq-symm :args (@t101 @t10)) % 0.45/0.66 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106) :args (@t114)) % 0.45/0.66 (step @p110 :rule cong :premises (@p109) :args (@t115)) % 0.45/0.66 (step @p111 :rule refl :args (@t116)) % 0.45/0.66 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t117)) % 0.45/0.66 (step @p113 :rule refl :args (@t118)) % 0.45/0.66 (step @p114 :rule cong :premises (@p113 @p112) :args (@t119)) % 0.45/0.66 (step @p115 :rule refl :args (@t120)) % 0.45/0.66 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t120 @t119))) % 0.45/0.66 (assume-push @p264 @t120) % 0.45/0.66 (step @p118 :rule instantiate :premises (@p105) :args ((@list @t101 @t99))) % 0.45/0.66 (step-pop @p265 :rule scope :premises (@p118)) % 0.45/0.66 (step @p119 :rule process_scope :premises (@p265) :args (@t119)) % 0.45/0.66 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 0.45/0.66 (step @p122 :rule implies_elim :premises (@p121)) % 0.45/0.66 (step @p123 :rule chain_m_resolution :premises (@p122 @p105) :args (@t123 @t109 @t124)) % 0.45/0.66 (step @p124 :rule aci_norm :args ((= (or (or @t96 @t95) @t33) @t97))) % 0.45/0.66 (step @p125 :rule refl :args (@t33)) % 0.45/0.66 (step @p126 :rule bool-and-de-morgan :args (@t59 @t73 true)) % 0.45/0.66 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t74) @t33))) % 0.45/0.66 (step @p128 :rule trans :premises (@p127 @p124)) % 0.45/0.66 (step @p129 :rule bool-impl-elim :args (@t74 @t33)) % 0.45/0.66 (step @p130 :rule trans :premises (@p129 @p128)) % 0.45/0.66 (step @p131 :rule cong :premises (@p130) :args (@t75)) % 0.45/0.66 (step @p132 :rule cong :premises (@p131) :args (@t76)) % 0.45/0.66 (step @p133 :rule eq_resolve :premises (@p28 @p132)) % 0.45/0.66 (step @p134 :rule skolemize :premises (@p133)) % 0.45/0.66 (step @p135 :rule bool-double-not-elim :args (@t118)) % 0.45/0.66 (step @p136 :rule refl :args (@t129)) % 0.45/0.66 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t129 (not @t126)))) % 0.45/0.66 (step @p138 :rule cnf_or_neg :args (@t129 1)) % 0.45/0.66 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.45/0.66 (step @p140 :rule reordering :premises (@p139) :args ((or @t118 @t129))) % 0.45/0.66 (step @p141 :rule chain_m_resolution :premises (@p140 @p134) :args (@t118 @t130 @t131)) % 0.45/0.66 (step @p142 :rule cnf_equiv_pos1 :args (@t123)) % 0.45/0.66 (step @p143 :rule reordering :premises (@p142) :args ((or @t126 @t122 (not @t123)))) % 0.45/0.66 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p123) :args (@t122 @t132 (@list @t118 @t123))) % 0.45/0.66 (step @p145 :rule cnf_and_pos :args (@t122 1)) % 0.45/0.66 (step @p146 :rule reordering :premises (@p145) :args ((or @t121 @t133))) % 0.45/0.66 (step @p147 :rule chain_m_resolution :premises (@p146 @p144) :args (@t121 @t109 @t134)) % 0.45/0.66 (step @p148 :rule instantiate :premises (@p147) :args ((@list @t100))) % 0.45/0.66 (step @p149 :rule refl :args (@t135)) % 0.45/0.66 (step @p150 :rule eq-symm :args (@t100 @t10)) % 0.45/0.66 (step @p151 :rule nary_cong :premises (@p150 @p107 @p149) :args (@t136)) % 0.45/0.66 (step @p152 :rule cong :premises (@p151) :args (@t137)) % 0.45/0.66 (step @p153 :rule refl :args (@t138)) % 0.45/0.66 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t139)) % 0.45/0.66 (step @p155 :rule refl :args (@t127)) % 0.45/0.66 (step @p156 :rule cong :premises (@p155 @p154) :args (@t140)) % 0.45/0.66 (step @p157 :rule cong :premises (@p115 @p156) :args ((=> @t120 @t140))) % 0.45/0.66 (assume-push @p266 @t120) % 0.45/0.66 (step @p159 :rule instantiate :premises (@p105) :args ((@list @t100 @t99))) % 0.45/0.66 (step-pop @p267 :rule scope :premises (@p159)) % 0.45/0.66 (step @p160 :rule process_scope :premises (@p267) :args (@t140)) % 0.45/0.66 (step @p162 :rule eq_resolve :premises (@p160 @p157)) % 0.45/0.66 (step @p163 :rule implies_elim :premises (@p162)) % 0.45/0.66 (step @p164 :rule chain_m_resolution :premises (@p163 @p105) :args (@t143 @t109 @t124)) % 0.45/0.66 (step @p165 :rule bool-double-not-elim :args (@t127)) % 0.45/0.66 (step @p166 :rule nary_cong :premises (@p136 @p165) :args ((or @t129 (not @t128)))) % 0.45/0.66 (step @p167 :rule cnf_or_neg :args (@t129 0)) % 0.45/0.66 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.45/0.66 (step @p169 :rule reordering :premises (@p168) :args ((or @t127 @t129))) % 0.45/0.66 (step @p170 :rule chain_m_resolution :premises (@p169 @p134) :args (@t127 @t130 @t131)) % 0.45/0.66 (step @p171 :rule cnf_equiv_pos1 :args (@t143)) % 0.45/0.66 (step @p172 :rule reordering :premises (@p171) :args ((or @t128 @t142 (not @t143)))) % 0.45/0.66 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p164) :args (@t142 @t132 (@list @t127 @t143))) % 0.45/0.66 (step @p174 :rule cnf_and_pos :args (@t142 0)) % 0.45/0.66 (step @p175 :rule reordering :premises (@p174) :args ((or @t138 @t144))) % 0.45/0.66 (step @p176 :rule chain_m_resolution :premises (@p175 @p173) :args (@t138 @t109 @t145)) % 0.45/0.66 (step @p177 :rule cnf_or_neg :args (@t129 2)) % 0.45/0.66 (step @p178 :rule chain_m_resolution :premises (@p177 @p134) :args ((not @t125) @t130 @t131)) % 0.45/0.66 (step @p179 :rule cnf_or_pos :args (@t147)) % 0.45/0.66 (step @p180 :rule reordering :premises (@p179) :args ((or @t125 @t146 @t102 (not @t147)))) % 0.45/0.66 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p176 @p148) :args (@t102 @t148 (@list @t125 @t138 @t147))) % 0.45/0.66 (step @p182 :rule cnf_and_pos :args (@t142 1)) % 0.45/0.66 (step @p183 :rule reordering :premises (@p182) :args ((or @t141 @t144))) % 0.45/0.66 (step @p184 :rule chain_m_resolution :premises (@p183 @p173) :args (@t141 @t109 @t145)) % 0.45/0.66 (step @p185 :rule refl :args (@t103)) % 0.45/0.66 (step @p186 :rule refl :args (@t149)) % 0.45/0.66 (step @p187 :rule eq-symm :args (@t101 @t100)) % 0.45/0.66 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185) :args (@t150)) % 0.45/0.66 (step @p189 :rule refl :args (@t141)) % 0.45/0.66 (step @p190 :rule cong :premises (@p189 @p188) :args ((=> @t141 @t150))) % 0.45/0.66 (assume-push @p268 @t141) % 0.45/0.66 (step @p192 :rule instantiate :premises (@p184) :args ((@list @t101))) % 0.45/0.66 (step-pop @p269 :rule scope :premises (@p192)) % 0.45/0.66 (step @p193 :rule process_scope :premises (@p269) :args (@t150)) % 0.45/0.66 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 0.45/0.66 (step @p196 :rule implies_elim :premises (@p195)) % 0.45/0.66 (step @p197 :rule chain_m_resolution :premises (@p196 @p184) :args (@t151 @t109 (@list @t141))) % 0.45/0.66 (step @p198 :rule cnf_and_pos :args (@t122 0)) % 0.45/0.66 (step @p199 :rule reordering :premises (@p198) :args ((or @t116 @t133))) % 0.45/0.66 (step @p200 :rule chain_m_resolution :premises (@p199 @p144) :args (@t116 @t109 @t134)) % 0.45/0.66 (step @p201 :rule cnf_or_pos :args (@t151)) % 0.45/0.66 (step @p202 :rule reordering :premises (@p201) :args ((or @t125 @t149 @t103 (not @t151)))) % 0.45/0.66 (step @p203 :rule chain_m_resolution :premises (@p202 @p178 @p200 @p197) :args (@t103 @t148 (@list @t125 @t116 @t151))) % 0.45/0.66 (step @p204 :rule cnf_and_neg :args (@t104)) % 0.45/0.66 (step @p205 :rule reordering :premises (@p204) :args ((or (not @t103) (not @t102) @t104))) % 0.45/0.66 (step @p206 :rule chain_m_resolution :premises (@p205 @p203 @p181) :args (@t104 @t132 (@list @t103 @t102))) % 0.45/0.66 (step @p207 :rule cnf_equiv_pos2 :args (@t108)) % 0.45/0.66 (step @p208 :rule reordering :premises (@p207) :args ((or @t106 (not @t104) (not @t108)))) % 0.45/0.66 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p87) :args (@t106 @t132 (@list @t104 @t108))) % 0.45/0.66 (step @p210 :rule cnf_equiv_pos1 :args (@t156)) % 0.45/0.66 (step @p211 :rule reordering :premises (@p210) :args ((or (not @t106) @t155 (not @t156)))) % 0.45/0.66 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p75) :args (@t155 @t132 (@list @t106 @t156))) % 0.45/0.66 (step @p213 :rule refl :args (@t162)) % 0.45/0.66 (step @p214 :rule bool-double-not-elim :args (@t154)) % 0.45/0.66 (step @p215 :rule nary_cong :premises (@p214 @p213) :args ((or (not @t155) @t162))) % 0.45/0.66 (step @p216 :rule refl :args (@t159)) % 0.45/0.66 (step @p217 :rule eq-symm :args (@t160 @t152)) % 0.45/0.66 (step @p218 :rule cong :premises (@p217) :args (@t163)) % 0.45/0.66 (step @p219 :rule cong :premises (@p218) :args (@t164)) % 0.45/0.66 (step @p220 :rule nary_cong :premises (@p219 @p216) :args (@t165)) % 0.45/0.66 (step @p221 :rule cong :premises (@p220) :args (@t166)) % 0.45/0.66 (step @p222 :rule refl :args (@t155)) % 0.45/0.66 (step @p223 :rule cong :premises (@p222 @p221) :args ((=> @t155 @t166))) % 0.45/0.66 (assume-push @p270 @t155) % 0.45/0.66 (step @p225 :rule skolemize :premises (@p212)) % 0.45/0.66 (step-pop @p271 :rule scope :premises (@p225)) % 0.45/0.66 (step @p226 :rule process_scope :premises (@p271) :args (@t166)) % 0.45/0.66 (step @p228 :rule eq_resolve :premises (@p226 @p223)) % 0.45/0.66 (step @p229 :rule implies_elim :premises (@p228)) % 0.45/0.66 (step @p230 :rule eq_resolve :premises (@p229 @p215)) % 0.45/0.66 (step @p231 :rule chain_m_resolution :premises (@p230 @p212) :args (@t162 @t130 (@list @t154))) % 0.45/0.66 (step @p232 :rule bool-double-not-elim :args (@t158)) % 0.45/0.66 (step @p233 :rule refl :args (@t161)) % 0.45/0.66 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t161 (not @t159)))) % 0.45/0.66 (step @p235 :rule cnf_or_neg :args (@t161 1)) % 0.45/0.66 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 0.45/0.66 (step @p237 :rule reordering :premises (@p236) :args ((or @t158 @t161))) % 0.45/0.66 (step @p238 :rule chain_m_resolution :premises (@p237 @p231) :args (@t158 @t130 (@list @t161))) % 0.45/0.66 (step @p239 :rule bool-eq-false :args (@t158)) % 0.45/0.66 (step @p240 :rule absorb :args ((= (and false (not (forall @t42 @t170))) false))) % 0.45/0.66 (step @p241 :rule aci_norm :args ((= @t171 @t170))) % 0.45/0.66 (step @p242 :rule cong :premises (@p241) :args (@t172)) % 0.45/0.66 (step @p243 :rule cong :premises (@p242) :args (@t173)) % 0.45/0.66 (step @p244 :rule evaluate :args ((not true))) % 0.45/0.66 (step @p245 :rule eq-refl :args (@t100)) % 0.45/0.66 (step @p246 :rule cong :premises (@p245) :args (@t174)) % 0.45/0.66 (step @p247 :rule trans :premises (@p246 @p244)) % 0.45/0.66 (step @p248 :rule nary_cong :premises (@p247 @p243) :args (@t175)) % 0.45/0.66 (step @p249 :rule trans :premises (@p248 @p240)) % 0.45/0.66 (step @p250 :rule refl :args (@t158)) % 0.45/0.66 (step @p251 :rule cong :premises (@p250 @p249) :args (@t176)) % 0.45/0.66 (step @p252 :rule trans :premises (@p251 @p239)) % 0.45/0.66 (step @p253 :rule refl :args (@t177)) % 0.45/0.66 (step @p254 :rule cong :premises (@p253 @p252) :args ((=> @t177 @t176))) % 0.45/0.66 (assume-push @p272 @t177) % 0.45/0.66 (step @p256 :rule instantiate :premises (@p50) :args ((@list @t157 @t100 @t101 @t100))) % 0.45/0.66 (step-pop @p273 :rule scope :premises (@p256)) % 0.45/0.66 (step @p257 :rule process_scope :premises (@p273) :args (@t176)) % 0.45/0.66 (step @p259 :rule eq_resolve :premises (@p257 @p254)) % 0.45/0.66 (step @p260 :rule implies_elim :premises (@p259)) % 0.45/0.66 (step @p261 false :rule chain_m_resolution :premises (@p260 @p238 @p50) :args (false @t132 (@list @t158 @t177))) % 0.45/0.66 ) % 0.45/0.66 % SZS output end Proof % 0.45/0.66 % cvc5 exiting %------------------------------------------------------------------------------