%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO111-1 : 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 : n024.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 08:16:23 AM UTC 2026 % Result : Unsatisfiable 0.16s 0.41s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GEO111-1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Mon Jun 1 18:24:00 EDT 2026 % 0.08/0.25 % CPUTime : % 0.08/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.41 % SZS status Unsatisfiable % 0.16/0.41 % SZS output start Proof % 0.16/0.41 ( % 0.16/0.41 (declare-sort $$unsorted 0) % 0.16/0.41 (declare-const tptp.sk15 $$unsorted) % 0.16/0.41 (declare-const tptp.sk17 $$unsorted) % 0.16/0.41 (declare-const tptp.sk18 $$unsorted) % 0.16/0.41 (declare-const tptp.between_c (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.ax0_sk11 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.ax0_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.ax0_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.ax0_sk7 (-> $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.ax1_sk1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.ax0_sk12 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.ax0_sk3 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.open (-> $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.ax0_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.ax0_sk4 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.ax0_sk6 (-> $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.ax0_sk8 (-> $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.ax0_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.ax0_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.sk16 $$unsorted) % 0.16/0.41 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 0.16/0.41 (declare-const tptp.ax0_sk13 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.41 (declare-const tptp.closed (-> $$unsorted Bool)) % 0.16/0.41 (define @t1 () (@var "B" $$unsorted)) % 0.16/0.41 (define @t2 () (@var "C" $$unsorted)) % 0.16/0.41 (define @t3 () (@var "A" $$unsorted)) % 0.16/0.41 (define @t4 () (tptp.part_of @t3 @t1)) % 0.16/0.41 (define @t5 () (not @t4)) % 0.16/0.41 (define @t6 () (@list @t3 @t1 @t2)) % 0.16/0.41 (define @t7 () (forall @t6 (or @t5 (not (tptp.incident_c @t2 @t3)) (tptp.incident_c @t2 @t1)))) % 0.16/0.41 (define @t8 () (tptp.ax0_sk1 @t3 @t1)) % 0.16/0.41 (define @t9 () (@list @t3 @t1)) % 0.16/0.41 (define @t10 () (@var "D" $$unsorted)) % 0.16/0.41 (define @t11 () (tptp.incident_c @t10 @t2)) % 0.16/0.41 (define @t12 () (tptp.incident_c @t10 @t1)) % 0.16/0.41 (define @t13 () (tptp.incident_c @t10 @t3)) % 0.16/0.41 (define @t14 () (tptp.sum @t1 @t2)) % 0.16/0.41 (define @t15 () (not (= @t3 @t14))) % 0.16/0.41 (define @t16 () (@list @t3 @t1 @t2 @t10)) % 0.16/0.41 (define @t17 () (not @t12)) % 0.16/0.41 (define @t18 () (not @t11)) % 0.16/0.41 (define @t19 () (= @t2 (tptp.sum @t1 @t3))) % 0.16/0.41 (define @t20 () (tptp.ax0_sk2 @t3 @t1 @t2)) % 0.16/0.41 (define @t21 () (tptp.incident_c @t20 @t3)) % 0.16/0.41 (define @t22 () (tptp.incident_c @t20 @t1)) % 0.16/0.41 (define @t23 () (tptp.incident_c @t20 @t2)) % 0.16/0.41 (define @t24 () (not @t23)) % 0.16/0.41 (define @t25 () (not @t22)) % 0.16/0.41 (define @t26 () (not @t21)) % 0.16/0.41 (define @t27 () (tptp.incident_c @t3 @t1)) % 0.16/0.41 (define @t28 () (tptp.end_point @t3 @t1)) % 0.16/0.41 (define @t29 () (not @t28)) % 0.16/0.41 (define @t30 () (tptp.part_of @t10 @t2)) % 0.16/0.41 (define @t31 () (tptp.part_of @t2 @t10)) % 0.16/0.41 (define @t32 () (tptp.incident_c @t3 @t2)) % 0.16/0.41 (define @t33 () (not @t32)) % 0.16/0.41 (define @t34 () (not (tptp.part_of @t10 @t1))) % 0.16/0.41 (define @t35 () (not (tptp.part_of @t2 @t1))) % 0.16/0.41 (define @t36 () (tptp.ax0_sk3 @t1 @t3)) % 0.16/0.41 (define @t37 () (not @t27)) % 0.16/0.41 (define @t38 () (tptp.ax0_sk4 @t1 @t3)) % 0.16/0.41 (define @t39 () (tptp.inner_point @t3 @t1)) % 0.16/0.41 (define @t40 () (not @t39)) % 0.16/0.41 (define @t41 () (tptp.meet @t3 @t1 @t2)) % 0.16/0.41 (define @t42 () (not @t41)) % 0.16/0.41 (define @t43 () (tptp.end_point @t10 @t1)) % 0.16/0.41 (define @t44 () (tptp.ax0_sk5 @t2 @t1 @t3)) % 0.16/0.41 (define @t45 () (tptp.closed @t3)) % 0.16/0.41 (define @t46 () (not @t45)) % 0.16/0.41 (define @t47 () (@list @t3)) % 0.16/0.41 (define @t48 () (tptp.open @t3)) % 0.16/0.41 (define @t49 () (= @t3 @t1)) % 0.16/0.41 (define @t50 () (@var "E" $$unsorted)) % 0.16/0.41 (define @t51 () (not (tptp.end_point @t50 @t2))) % 0.16/0.41 (define @t52 () (@list @t3 @t1 @t2 @t10 @t50)) % 0.16/0.41 (define @t53 () (tptp.ax0_sk10 @t3 @t1)) % 0.16/0.41 (define @t54 () (tptp.ax0_sk9 @t3 @t1)) % 0.16/0.41 (define @t55 () (tptp.ax0_sk11 @t3 @t1)) % 0.16/0.41 (define @t56 () (= @t1 @t3)) % 0.16/0.41 (define @t57 () (tptp.ax0_sk13 @t3 @t1)) % 0.16/0.41 (define @t58 () (tptp.incident_c @t57 @t3)) % 0.16/0.41 (define @t59 () (tptp.incident_c @t57 @t1)) % 0.16/0.41 (define @t60 () (not @t59)) % 0.16/0.41 (define @t61 () (not @t58)) % 0.16/0.41 (define @t62 () (not (= @t1 @t10))) % 0.16/0.41 (define @t63 () (not (tptp.between_c @t3 @t1 @t2 @t10))) % 0.16/0.41 (define @t64 () (or @t63 @t62)) % 0.16/0.41 (define @t65 () (forall @t16 @t64)) % 0.16/0.41 (define @t66 () (tptp.ax1_sk1 @t10 @t2 @t1 @t3)) % 0.16/0.41 (define @t67 () (tptp.between_c tptp.sk15 tptp.sk16 tptp.sk17 tptp.sk18)) % 0.16/0.41 (define @t68 () (= tptp.sk16 tptp.sk18)) % 0.16/0.41 (define @t69 () (= tptp.sk17 tptp.sk18)) % 0.16/0.41 (define @t70 () (= tptp.sk16 tptp.sk17)) % 0.16/0.41 (define @t71 () (tptp.incident_c tptp.sk18 tptp.sk15)) % 0.16/0.41 (define @t72 () (not @t71)) % 0.16/0.41 (define @t73 () (tptp.incident_c tptp.sk17 tptp.sk15)) % 0.16/0.41 (define @t74 () (tptp.incident_c tptp.sk16 tptp.sk15)) % 0.16/0.41 (define @t75 () (tptp.ax1_sk1 tptp.sk18 tptp.sk17 tptp.sk16 tptp.sk15)) % 0.16/0.41 (define @t76 () (@list tptp.sk15 tptp.sk16 tptp.sk17 tptp.sk18)) % 0.16/0.41 (define @t77 () (tptp.end_point tptp.sk18 @t75)) % 0.16/0.41 (define @t78 () (not @t67)) % 0.16/0.41 (define @t79 () (or @t78 @t77)) % 0.16/0.41 (define @t80 () (@list false false)) % 0.16/0.41 (define @t81 () (tptp.incident_c tptp.sk18 @t75)) % 0.16/0.41 (define @t82 () (not @t77)) % 0.16/0.41 (define @t83 () (or @t82 @t81)) % 0.16/0.41 (define @t84 () (tptp.part_of @t75 tptp.sk15)) % 0.16/0.41 (define @t85 () (or @t78 @t84)) % 0.16/0.41 (define @t86 () (not (tptp.between_c @t3 @t10 @t2 @t10))) % 0.16/0.41 (define @t87 () (not (= @t10 @t10))) % 0.16/0.41 (define @t88 () (or @t86 @t87)) % 0.16/0.41 (define @t89 () (@list @t3 @t2 @t10)) % 0.16/0.41 (define @t90 () (or @t62 @t63 @t62)) % 0.16/0.41 (define @t91 () (@list @t1)) % 0.16/0.41 (define @t92 () (forall @t91 @t64)) % 0.16/0.41 (define @t93 () (forall @t89 @t92)) % 0.16/0.41 (define @t94 () (forall (@list @t3 @t2 @t10 @t1) @t64)) % 0.16/0.41 (define @t95 () (tptp.between_c tptp.sk15 tptp.sk18 tptp.sk17 tptp.sk18)) % 0.16/0.41 (define @t96 () (not @t68)) % 0.16/0.41 (define @t97 () (not @t95)) % 0.16/0.41 (define @t98 () (= true false)) % 0.16/0.41 (define @t99 () (and @t97 @t68 @t67)) % 0.16/0.41 (define @t100 () (@list false true)) % 0.16/0.41 (define @t101 () (@list tptp.sk17 @t75)) % 0.16/0.41 (define @t102 () (tptp.inner_point tptp.sk17 @t75)) % 0.16/0.41 (define @t103 () (or @t78 @t102)) % 0.16/0.41 (define @t104 () (tptp.end_point tptp.sk17 @t75)) % 0.16/0.41 (define @t105 () (not @t104)) % 0.16/0.41 (define @t106 () (not @t102)) % 0.16/0.41 (define @t107 () (or @t106 @t105)) % 0.16/0.41 (define @t108 () (not @t69)) % 0.16/0.41 (define @t109 () (not @t105)) % 0.16/0.41 (define @t110 () (and @t105 @t69 @t77)) % 0.16/0.41 (define @t111 () (tptp.end_point tptp.sk16 @t75)) % 0.16/0.41 (define @t112 () (or @t78 @t111)) % 0.16/0.41 (define @t113 () (not @t111)) % 0.16/0.41 (define @t114 () (not @t70)) % 0.16/0.41 (define @t115 () (and @t105 @t70 @t111)) % 0.16/0.41 (define @t116 () (tptp.incident_c tptp.sk17 @t75)) % 0.16/0.41 (define @t117 () (or @t106 @t116)) % 0.16/0.41 (define @t118 () (not @t116)) % 0.16/0.41 (define @t119 () (not @t84)) % 0.16/0.41 (define @t120 () (or @t119 @t118 @t73)) % 0.16/0.41 (define @t121 () (@list false false false)) % 0.16/0.41 (define @t122 () (tptp.incident_c tptp.sk16 @t75)) % 0.16/0.41 (define @t123 () (or @t113 @t122)) % 0.16/0.41 (define @t124 () (not @t122)) % 0.16/0.41 (define @t125 () (or @t119 @t124 @t74)) % 0.16/0.41 (define @t126 () (not @t81)) % 0.16/0.41 (define @t127 () (or @t119 @t126 @t71)) % 0.16/0.41 (define @t128 () (not @t127)) % 0.16/0.41 (assume @p1 @t7) % 0.16/0.41 (assume @p2 (forall @t9 (or (tptp.incident_c @t8 @t3) @t4))) % 0.16/0.41 (assume @p3 (forall @t9 (or (not (tptp.incident_c @t8 @t1)) @t4))) % 0.16/0.41 (assume @p4 (forall @t16 (or @t15 (not @t13) @t12 @t11))) % 0.16/0.41 (assume @p5 (forall @t16 (or @t15 @t17 @t13))) % 0.16/0.41 (assume @p6 (forall @t16 (or @t15 @t18 @t13))) % 0.16/0.41 (assume @p7 (forall @t6 (or @t23 @t22 @t21 @t19))) % 0.16/0.41 (assume @p8 (forall @t6 (or @t23 @t24 @t19))) % 0.16/0.41 (assume @p9 (forall @t6 (or @t25 @t22 @t21 @t19))) % 0.16/0.41 (assume @p10 (forall @t6 (or @t26 @t22 @t21 @t19))) % 0.16/0.41 (assume @p11 (forall @t6 (or @t25 @t24 @t19))) % 0.16/0.41 (assume @p12 (forall @t6 (or @t26 @t24 @t19))) % 0.16/0.41 (assume @p13 (forall @t9 (or @t29 @t27))) % 0.16/0.41 (assume @p14 (forall @t16 (or @t29 @t35 @t34 @t33 (not (tptp.incident_c @t3 @t10)) @t31 @t30))) % 0.16/0.41 (assume @p15 (forall @t9 (or @t37 (tptp.part_of @t36 @t1) @t28))) % 0.16/0.41 (assume @p16 (forall @t9 (or @t37 (tptp.part_of @t38 @t1) @t28))) % 0.16/0.41 (assume @p17 (forall @t9 (or @t37 (tptp.incident_c @t3 @t36) @t28))) % 0.16/0.41 (assume @p18 (forall @t9 (or @t37 (tptp.incident_c @t3 @t38) @t28))) % 0.16/0.41 (assume @p19 (forall @t9 (or @t37 (not (tptp.part_of @t36 @t38)) @t28))) % 0.16/0.41 (assume @p20 (forall @t9 (or @t37 (not (tptp.part_of @t38 @t36)) @t28))) % 0.16/0.41 (assume @p21 (forall @t9 (or @t40 @t27))) % 0.16/0.41 (assume @p22 (forall @t9 (or @t40 @t29))) % 0.16/0.41 (assume @p23 (forall @t9 (or @t37 @t28 @t39))) % 0.16/0.41 (assume @p24 (forall @t6 (or @t42 @t27))) % 0.16/0.41 (assume @p25 (forall @t6 (or @t42 @t32))) % 0.16/0.41 (assume @p26 (forall @t16 (or @t42 @t17 @t18 @t43))) % 0.16/0.41 (assume @p27 (forall @t16 (or @t42 @t17 @t18 (tptp.end_point @t10 @t2)))) % 0.16/0.41 (assume @p28 (forall @t6 (or @t37 @t33 (tptp.incident_c @t44 @t1) @t41))) % 0.16/0.41 (assume @p29 (forall @t6 (or @t37 @t33 (tptp.incident_c @t44 @t2) @t41))) % 0.16/0.41 (assume @p30 (forall @t6 (or @t37 @t33 (not (tptp.end_point @t44 @t1)) (not (tptp.end_point @t44 @t2)) @t41))) % 0.16/0.41 (assume @p31 (forall @t9 (or @t46 (not (tptp.end_point @t1 @t3))))) % 0.16/0.41 (assume @p32 (forall @t47 (or (tptp.end_point (tptp.ax0_sk6 @t3) @t3) @t45))) % 0.16/0.41 (assume @p33 (forall @t47 (or (not @t48) (tptp.end_point (tptp.ax0_sk7 @t3) @t3)))) % 0.16/0.41 (assume @p34 (forall @t9 (or @t29 (tptp.open @t1)))) % 0.16/0.41 (assume @p35 (forall @t9 (or @t5 @t49 @t48))) % 0.16/0.41 (assume @p36 (forall @t52 (or @t5 @t35 @t34 (not (tptp.end_point @t50 @t3)) @t51 (not (tptp.end_point @t50 @t10)) @t31 @t30 (tptp.part_of @t3 @t2) (tptp.part_of @t2 @t3) (tptp.part_of @t3 @t10) (tptp.part_of @t10 @t3)))) % 0.16/0.41 (assume @p37 (forall @t47 (tptp.inner_point (tptp.ax0_sk8 @t3) @t3))) % 0.16/0.41 (assume @p38 (forall @t9 (or @t40 (tptp.meet @t3 @t54 @t53)))) % 0.16/0.41 (assume @p39 (forall @t9 (or @t40 (= @t1 (tptp.sum @t54 @t53))))) % 0.16/0.41 (assume @p40 (forall @t16 (or @t29 (not (tptp.end_point @t2 @t1)) (not @t43) (= @t3 @t2) (= @t3 @t10) (= @t2 @t10)))) % 0.16/0.41 (assume @p41 (forall @t9 (or @t29 (tptp.end_point @t55 @t1)))) % 0.16/0.41 (assume @p42 (forall @t9 (or @t29 (not (= @t3 @t55))))) % 0.16/0.41 (assume @p43 (forall @t52 (or @t46 (not (tptp.meet @t1 @t2 @t10)) (not (= @t3 (tptp.sum @t2 @t10))) @t51 (tptp.meet @t50 @t2 @t10)))) % 0.16/0.41 (assume @p44 (forall @t6 (or @t42 (= (tptp.ax0_sk12 @t2 @t1) @t14)))) % 0.16/0.41 (assume @p45 (forall @t9 (or @t59 @t58 @t56))) % 0.16/0.41 (assume @p46 (forall @t9 (or @t59 @t60 @t56))) % 0.16/0.41 (assume @p47 (forall @t9 (or @t61 @t58 @t56))) % 0.16/0.41 (assume @p48 (forall @t9 (or @t61 @t60 @t56))) % 0.16/0.41 (assume @p49 @t65) % 0.16/0.41 (assume @p50 (forall @t16 (or @t63 (tptp.part_of @t66 @t3)))) % 0.16/0.41 (assume @p51 (forall @t16 (or @t63 (tptp.end_point @t1 @t66)))) % 0.16/0.41 (assume @p52 (forall @t16 (or @t63 (tptp.end_point @t10 @t66)))) % 0.16/0.41 (assume @p53 (forall @t16 (or @t63 (tptp.inner_point @t2 @t66)))) % 0.16/0.41 (assume @p54 (forall @t52 (or @t49 (not @t31) (not (tptp.end_point @t3 @t2)) (not (tptp.end_point @t1 @t2)) (not (tptp.inner_point @t50 @t2)) (tptp.between_c @t10 @t3 @t50 @t1)))) % 0.16/0.41 (assume @p55 @t67) % 0.16/0.41 (assume @p56 (or (not @t74) (not @t73) @t72 @t70 @t69 @t68)) % 0.16/0.41 (step @p57 :rule instantiate :premises (@p13) :args ((@list tptp.sk18 @t75))) % 0.16/0.41 (step @p58 :rule instantiate :premises (@p52) :args (@t76)) % 0.16/0.41 (step @p59 :rule cnf_or_pos :args (@t79)) % 0.16/0.41 (step @p60 :rule reordering :premises (@p59) :args ((or @t78 @t77 (not @t79)))) % 0.16/0.41 (step @p61 :rule chain_m_resolution :premises (@p60 @p55 @p58) :args (@t77 @t80 (@list @t67 @t79))) % 0.16/0.41 (step @p62 :rule cnf_or_pos :args (@t83)) % 0.16/0.41 (step @p63 :rule reordering :premises (@p62) :args ((or @t82 @t81 (not @t83)))) % 0.16/0.41 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p57) :args (@t81 @t80 (@list @t77 @t83))) % 0.16/0.41 (step @p65 :rule instantiate :premises (@p50) :args (@t76)) % 0.16/0.41 (step @p66 :rule cnf_or_pos :args (@t85)) % 0.16/0.41 (step @p67 :rule reordering :premises (@p66) :args ((or @t78 @t84 (not @t85)))) % 0.16/0.41 (step @p68 :rule chain_m_resolution :premises (@p67 @p55 @p65) :args (@t84 @t80 (@list @t67 @t85))) % 0.16/0.41 (step @p69 :rule aci_norm :args ((= (or @t86 false) @t86))) % 0.16/0.41 (step @p70 :rule evaluate :args ((not true))) % 0.16/0.41 (step @p71 :rule eq-refl :args (@t10)) % 0.16/0.41 (step @p72 :rule cong :premises (@p71) :args (@t87)) % 0.16/0.41 (step @p73 :rule trans :premises (@p72 @p70)) % 0.16/0.41 (step @p74 :rule refl :args (@t86)) % 0.16/0.41 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t88)) % 0.16/0.41 (step @p76 :rule trans :premises (@p75 @p69)) % 0.16/0.41 (step @p77 :rule cong :premises (@p76) :args ((forall @t89 @t88))) % 0.16/0.41 (step @p78 :rule quant-var-elim-eq :args ((= (forall @t91 @t90) @t88))) % 0.16/0.41 (step @p79 :rule aci_norm :args ((= @t64 @t90))) % 0.16/0.41 (step @p80 :rule cong :premises (@p79) :args (@t92)) % 0.16/0.41 (step @p81 :rule trans :premises (@p80 @p78)) % 0.16/0.41 (step @p82 :rule cong :premises (@p81) :args (@t93)) % 0.16/0.41 (step @p83 :rule quant-merge-prenex :args ((= @t93 @t94))) % 0.16/0.41 (step @p84 :rule symm :premises (@p83)) % 0.16/0.41 (step @p85 :rule quant_var_reordering :args ((= @t65 @t94))) % 0.16/0.41 (step @p86 :rule trans :premises (@p85 @p84 @p82)) % 0.16/0.41 (step @p87 :rule trans :premises (@p86 @p77)) % 0.16/0.41 (step @p88 :rule eq_resolve :premises (@p49 @p87)) % 0.16/0.41 (step @p89 :rule instantiate :premises (@p88) :args ((@list tptp.sk15 tptp.sk17 tptp.sk18))) % 0.16/0.41 (step @p90 :rule bool-double-not-elim :args (@t95)) % 0.16/0.41 (step @p91 :rule refl :args (@t96)) % 0.16/0.41 (step @p92 :rule refl :args (@t78)) % 0.16/0.41 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90) :args ((or @t78 @t96 (not @t97)))) % 0.16/0.41 (assume-push @p224 @t97) % 0.16/0.41 (assume-push @p225 @t68) % 0.16/0.41 (assume-push @p226 @t67) % 0.16/0.41 (step @p97 :rule evaluate :args (@t98)) % 0.16/0.41 (step @p98 :rule false_intro :premises (@p89)) % 0.16/0.41 (step @p99 :rule refl :args (tptp.sk17)) % 0.16/0.41 (step @p100 :rule refl :args (tptp.sk18)) % 0.16/0.41 (step @p101 :rule refl :args (tptp.sk15)) % 0.16/0.41 (step @p102 :rule cong :premises (@p101 @p100 @p99 @p225) :args ((tptp.between_c tptp.sk15 tptp.sk18 tptp.sk17 tptp.sk16))) % 0.16/0.41 (step @p103 :rule symm :premises (@p225)) % 0.16/0.41 (step @p104 :rule cong :premises (@p101 @p225 @p99 @p103) :args (@t67)) % 0.16/0.41 (step @p105 :rule true_intro :premises (@p55)) % 0.16/0.41 (step @p106 :rule symm :premises (@p105)) % 0.16/0.41 (step @p107 :rule trans :premises (@p106 @p104 @p102 @p98)) % 0.16/0.41 (step @p108 false :rule eq_resolve :premises (@p107 @p97)) % 0.16/0.41 (step-pop @p227 :rule scope :premises (@p108)) % 0.16/0.41 (step-pop @p228 :rule scope :premises (@p227)) % 0.16/0.41 (step-pop @p229 :rule scope :premises (@p228)) % 0.16/0.41 (step @p109 :rule process_scope :premises (@p229) :args (false)) % 0.16/0.41 (assume-push @p230 @t67) % 0.16/0.41 (assume-push @p231 @t68) % 0.16/0.41 (assume-push @p232 @t97) % 0.16/0.41 (step @p116 :rule and_intro :premises (@p89 @p231 @p55)) % 0.16/0.41 (step-pop @p233 :rule scope :premises (@p116)) % 0.16/0.41 (step-pop @p234 :rule scope :premises (@p233)) % 0.16/0.41 (step-pop @p235 :rule scope :premises (@p234)) % 0.16/0.41 (step @p117 :rule process_scope :premises (@p235) :args (@t99)) % 0.16/0.41 (step @p121 :rule implies_elim :premises (@p117)) % 0.16/0.41 (step @p122 :rule resolution :premises (@p121 @p109) :args (true @t99)) % 0.16/0.41 (step @p123 :rule not_and :premises (@p122)) % 0.16/0.41 (step @p124 :rule eq_resolve :premises (@p123 @p93)) % 0.16/0.41 (step @p125 :rule chain_m_resolution :premises (@p124 @p55 @p89) :args (@t96 @t100 (@list @t67 @t95))) % 0.16/0.41 (step @p126 :rule instantiate :premises (@p22) :args (@t101)) % 0.16/0.41 (step @p127 :rule instantiate :premises (@p53) :args (@t76)) % 0.16/0.41 (step @p128 :rule cnf_or_pos :args (@t103)) % 0.16/0.41 (step @p129 :rule reordering :premises (@p128) :args ((or @t78 @t102 (not @t103)))) % 0.16/0.41 (step @p130 :rule chain_m_resolution :premises (@p129 @p55 @p127) :args (@t102 @t80 (@list @t67 @t103))) % 0.16/0.41 (step @p131 :rule cnf_or_pos :args (@t107)) % 0.16/0.41 (step @p132 :rule reordering :premises (@p131) :args ((or @t106 @t105 (not @t107)))) % 0.16/0.41 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p126) :args (@t105 @t80 (@list @t102 @t107))) % 0.16/0.41 (step @p134 :rule bool-double-not-elim :args (@t104)) % 0.16/0.41 (step @p135 :rule refl :args (@t82)) % 0.16/0.41 (step @p136 :rule refl :args (@t108)) % 0.16/0.41 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args ((or @t108 @t82 @t109))) % 0.16/0.41 (assume-push @p236 @t105) % 0.16/0.41 (assume-push @p237 @t69) % 0.16/0.41 (assume-push @p238 @t77) % 0.16/0.41 (step @p97 :rule evaluate :args (@t98)) % 0.16/0.41 (step @p141 :rule false_intro :premises (@p133)) % 0.16/0.41 (step @p142 :rule refl :args (@t75)) % 0.16/0.41 (step @p143 :rule symm :premises (@p237)) % 0.16/0.41 (step @p144 :rule cong :premises (@p143 @p142) :args (@t77)) % 0.16/0.41 (step @p145 :rule true_intro :premises (@p61)) % 0.16/0.41 (step @p146 :rule symm :premises (@p145)) % 0.16/0.41 (step @p147 :rule trans :premises (@p146 @p144 @p141)) % 0.16/0.41 (step @p148 false :rule eq_resolve :premises (@p147 @p97)) % 0.16/0.41 (step-pop @p239 :rule scope :premises (@p148)) % 0.16/0.41 (step-pop @p240 :rule scope :premises (@p239)) % 0.16/0.41 (step-pop @p241 :rule scope :premises (@p240)) % 0.16/0.41 (step @p149 :rule process_scope :premises (@p241) :args (false)) % 0.16/0.41 (assume-push @p242 @t69) % 0.16/0.41 (assume-push @p243 @t77) % 0.16/0.41 (assume-push @p244 @t105) % 0.16/0.41 (step @p156 :rule and_intro :premises (@p133 @p242 @p61)) % 0.16/0.41 (step-pop @p245 :rule scope :premises (@p156)) % 0.16/0.41 (step-pop @p246 :rule scope :premises (@p245)) % 0.16/0.41 (step-pop @p247 :rule scope :premises (@p246)) % 0.16/0.41 (step @p157 :rule process_scope :premises (@p247) :args (@t110)) % 0.16/0.41 (step @p161 :rule implies_elim :premises (@p157)) % 0.16/0.41 (step @p162 :rule resolution :premises (@p161 @p149) :args (true @t110)) % 0.16/0.41 (step @p163 :rule not_and :premises (@p162)) % 0.16/0.41 (step @p164 :rule eq_resolve :premises (@p163 @p137)) % 0.16/0.41 (step @p165 :rule chain_m_resolution :premises (@p164 @p61 @p133) :args (@t108 @t100 (@list @t77 @t104))) % 0.16/0.41 (step @p166 :rule instantiate :premises (@p51) :args (@t76)) % 0.16/0.41 (step @p167 :rule cnf_or_pos :args (@t112)) % 0.16/0.41 (step @p168 :rule reordering :premises (@p167) :args ((or @t78 @t111 (not @t112)))) % 0.16/0.41 (step @p169 :rule chain_m_resolution :premises (@p168 @p55 @p166) :args (@t111 @t80 (@list @t67 @t112))) % 0.16/0.41 (step @p170 :rule refl :args (@t113)) % 0.16/0.41 (step @p171 :rule refl :args (@t114)) % 0.16/0.41 (step @p172 :rule nary_cong :premises (@p171 @p170 @p134) :args ((or @t114 @t113 @t109))) % 0.16/0.41 (assume-push @p248 @t105) % 0.16/0.41 (assume-push @p249 @t70) % 0.16/0.41 (assume-push @p250 @t111) % 0.16/0.41 (step @p97 :rule evaluate :args (@t98)) % 0.16/0.41 (step @p141 :rule false_intro :premises (@p133)) % 0.16/0.41 (step @p142 :rule refl :args (@t75)) % 0.16/0.41 (step @p176 :rule cong :premises (@p249 @p142) :args (@t111)) % 0.16/0.41 (step @p177 :rule true_intro :premises (@p169)) % 0.16/0.41 (step @p178 :rule symm :premises (@p177)) % 0.16/0.41 (step @p179 :rule trans :premises (@p178 @p176 @p141)) % 0.16/0.41 (step @p180 false :rule eq_resolve :premises (@p179 @p97)) % 0.16/0.41 (step-pop @p251 :rule scope :premises (@p180)) % 0.16/0.41 (step-pop @p252 :rule scope :premises (@p251)) % 0.16/0.41 (step-pop @p253 :rule scope :premises (@p252)) % 0.16/0.41 (step @p181 :rule process_scope :premises (@p253) :args (false)) % 0.16/0.41 (assume-push @p254 @t70) % 0.16/0.41 (assume-push @p255 @t111) % 0.16/0.41 (assume-push @p256 @t105) % 0.16/0.41 (step @p188 :rule and_intro :premises (@p133 @p254 @p169)) % 0.16/0.41 (step-pop @p257 :rule scope :premises (@p188)) % 0.16/0.41 (step-pop @p258 :rule scope :premises (@p257)) % 0.16/0.41 (step-pop @p259 :rule scope :premises (@p258)) % 0.16/0.41 (step @p189 :rule process_scope :premises (@p259) :args (@t115)) % 0.16/0.41 (step @p193 :rule implies_elim :premises (@p189)) % 0.16/0.41 (step @p194 :rule resolution :premises (@p193 @p181) :args (true @t115)) % 0.16/0.41 (step @p195 :rule not_and :premises (@p194)) % 0.16/0.41 (step @p196 :rule eq_resolve :premises (@p195 @p172)) % 0.16/0.41 (step @p197 :rule chain_m_resolution :premises (@p196 @p169 @p133) :args (@t114 @t100 (@list @t111 @t104))) % 0.16/0.41 (step @p198 :rule instantiate :premises (@p1) :args ((@list @t75 tptp.sk15 tptp.sk17))) % 0.16/0.41 (step @p199 :rule instantiate :premises (@p21) :args (@t101)) % 0.16/0.41 (step @p200 :rule cnf_or_pos :args (@t117)) % 0.16/0.41 (step @p201 :rule reordering :premises (@p200) :args ((or @t106 @t116 (not @t117)))) % 0.16/0.41 (step @p202 :rule chain_m_resolution :premises (@p201 @p130 @p199) :args (@t116 @t80 (@list @t102 @t117))) % 0.16/0.41 (step @p203 :rule cnf_or_pos :args (@t120)) % 0.16/0.41 (step @p204 :rule reordering :premises (@p203) :args ((or @t73 @t119 @t118 (not @t120)))) % 0.16/0.41 (step @p205 :rule chain_m_resolution :premises (@p204 @p68 @p202 @p198) :args (@t73 @t121 (@list @t84 @t116 @t120))) % 0.16/0.41 (step @p206 :rule instantiate :premises (@p1) :args ((@list @t75 tptp.sk15 tptp.sk16))) % 0.16/0.41 (step @p207 :rule instantiate :premises (@p13) :args ((@list tptp.sk16 @t75))) % 0.16/0.41 (step @p208 :rule cnf_or_pos :args (@t123)) % 0.16/0.41 (step @p209 :rule reordering :premises (@p208) :args ((or @t113 @t122 (not @t123)))) % 0.16/0.41 (step @p210 :rule chain_m_resolution :premises (@p209 @p169 @p207) :args (@t122 @t80 (@list @t111 @t123))) % 0.16/0.41 (step @p211 :rule cnf_or_pos :args (@t125)) % 0.16/0.41 (step @p212 :rule reordering :premises (@p211) :args ((or @t74 @t119 @t124 (not @t125)))) % 0.16/0.41 (step @p213 :rule chain_m_resolution :premises (@p212 @p68 @p210 @p206) :args (@t74 @t121 (@list @t84 @t122 @t125))) % 0.16/0.41 (step @p214 :rule chain_m_resolution :premises (@p56 @p213 @p205 @p197 @p165 @p125) :args (@t72 (@list false false true true true) (@list @t74 @t73 @t70 @t69 @t68))) % 0.16/0.41 (step @p215 :rule cnf_or_pos :args (@t127)) % 0.16/0.41 (step @p216 :rule reordering :premises (@p215) :args ((or @t71 @t119 @t126 @t128))) % 0.16/0.41 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p68 @p64) :args (@t128 (@list true false false) (@list @t71 @t84 @t81))) % 0.16/0.41 (assume-push @p260 @t7) % 0.16/0.41 (step @p219 :rule instantiate :premises (@p1) :args ((@list @t75 tptp.sk15 tptp.sk18))) % 0.16/0.41 (step-pop @p261 :rule scope :premises (@p219)) % 0.16/0.41 (step @p220 :rule process_scope :premises (@p261) :args (@t127)) % 0.16/0.41 (step @p222 :rule implies_elim :premises (@p220)) % 0.16/0.41 (step @p223 false :rule chain_m_resolution :premises (@p222 @p217 @p1) :args (false (@list true false) (@list @t127 @t7))) % 0.16/0.41 ) % 0.16/0.42 % SZS output end Proof % 0.16/0.42 % cvc5 exiting %------------------------------------------------------------------------------