%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO089-1 : 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 : n007.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 : Unsatisfiable 208.46s 208.80s % Output : Proof 208.55s % 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/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n007.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % 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 23:17:56 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.61/15.88 --- Run --no-e-matching --full-saturate-quant at 6... % 21.72/21.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.72/27.97 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.73/34.01 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.00/64.25 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.16/79.42 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.35/112.65 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 112.43/128.55 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.45/158.77 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 173.56/173.85 --- Run --relevant-triggers --full-saturate-quant at 30... % 203.78/204.06 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 208.46/208.80 % SZS status Unsatisfiable % 208.46/208.80 % SZS output start Proof % 208.55/208.81 ( % 208.55/208.81 (declare-sort $$unsorted 0) % 208.55/208.81 (declare-const tptp.sk14 $$unsorted) % 208.55/208.81 (declare-const tptp.ax0_sk11 (-> $$unsorted $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.ax0_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.sk15 $$unsorted) % 208.55/208.81 (declare-const tptp.ax0_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.sk16 $$unsorted) % 208.55/208.81 (declare-const tptp.ax0_sk7 (-> $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 208.55/208.81 (declare-const tptp.ax0_sk12 (-> $$unsorted $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.ax0_sk3 (-> $$unsorted $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.open (-> $$unsorted Bool)) % 208.55/208.81 (declare-const tptp.ax0_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 208.55/208.81 (declare-const tptp.ax0_sk4 (-> $$unsorted $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.ax0_sk6 (-> $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.ax0_sk8 (-> $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.ax0_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.ax0_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 208.55/208.81 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 208.55/208.81 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 208.55/208.81 (declare-const tptp.ax0_sk13 (-> $$unsorted $$unsorted $$unsorted)) % 208.55/208.81 (declare-const tptp.closed (-> $$unsorted Bool)) % 208.55/208.81 (define @t1 () (@var "B" $$unsorted)) % 208.55/208.81 (define @t2 () (@var "C" $$unsorted)) % 208.55/208.81 (define @t3 () (@var "A" $$unsorted)) % 208.55/208.81 (define @t4 () (tptp.part_of @t3 @t1)) % 208.55/208.81 (define @t5 () (not @t4)) % 208.55/208.81 (define @t6 () (@list @t3 @t1 @t2)) % 208.55/208.81 (define @t7 () (forall @t6 (or @t5 (not (tptp.incident_c @t2 @t3)) (tptp.incident_c @t2 @t1)))) % 208.55/208.81 (define @t8 () (tptp.ax0_sk1 @t3 @t1)) % 208.55/208.81 (define @t9 () (@list @t3 @t1)) % 208.55/208.81 (define @t10 () (forall @t9 (or (tptp.incident_c @t8 @t3) @t4))) % 208.55/208.81 (define @t11 () (forall @t9 (or (not (tptp.incident_c @t8 @t1)) @t4))) % 208.55/208.81 (define @t12 () (@var "D" $$unsorted)) % 208.55/208.81 (define @t13 () (tptp.incident_c @t12 @t2)) % 208.55/208.81 (define @t14 () (tptp.incident_c @t12 @t1)) % 208.55/208.81 (define @t15 () (tptp.incident_c @t12 @t3)) % 208.55/208.81 (define @t16 () (tptp.sum @t1 @t2)) % 208.55/208.81 (define @t17 () (not (= @t3 @t16))) % 208.55/208.81 (define @t18 () (@list @t3 @t1 @t2 @t12)) % 208.55/208.81 (define @t19 () (not @t14)) % 208.55/208.81 (define @t20 () (not @t13)) % 208.55/208.81 (define @t21 () (= @t2 (tptp.sum @t1 @t3))) % 208.55/208.81 (define @t22 () (tptp.ax0_sk2 @t3 @t1 @t2)) % 208.55/208.81 (define @t23 () (tptp.incident_c @t22 @t3)) % 208.55/208.81 (define @t24 () (tptp.incident_c @t22 @t1)) % 208.55/208.81 (define @t25 () (tptp.incident_c @t22 @t2)) % 208.55/208.81 (define @t26 () (not @t25)) % 208.55/208.81 (define @t27 () (not @t24)) % 208.55/208.81 (define @t28 () (not @t23)) % 208.55/208.81 (define @t29 () (tptp.incident_c @t3 @t1)) % 208.55/208.81 (define @t30 () (tptp.end_point @t3 @t1)) % 208.55/208.81 (define @t31 () (not @t30)) % 208.55/208.81 (define @t32 () (tptp.part_of @t12 @t2)) % 208.55/208.81 (define @t33 () (tptp.part_of @t2 @t12)) % 208.55/208.81 (define @t34 () (tptp.incident_c @t3 @t2)) % 208.55/208.81 (define @t35 () (not @t34)) % 208.55/208.81 (define @t36 () (not (tptp.part_of @t12 @t1))) % 208.55/208.81 (define @t37 () (not (tptp.part_of @t2 @t1))) % 208.55/208.81 (define @t38 () (forall @t18 (or @t31 @t37 @t36 @t35 (not (tptp.incident_c @t3 @t12)) @t33 @t32))) % 208.55/208.81 (define @t39 () (tptp.ax0_sk3 @t1 @t3)) % 208.55/208.81 (define @t40 () (not @t29)) % 208.55/208.81 (define @t41 () (forall @t9 (or @t40 (tptp.part_of @t39 @t1) @t30))) % 208.55/208.81 (define @t42 () (tptp.ax0_sk4 @t1 @t3)) % 208.55/208.81 (define @t43 () (forall @t9 (or @t40 (tptp.part_of @t42 @t1) @t30))) % 208.55/208.81 (define @t44 () (forall @t9 (or @t40 (tptp.incident_c @t3 @t39) @t30))) % 208.55/208.81 (define @t45 () (forall @t9 (or @t40 (tptp.incident_c @t3 @t42) @t30))) % 208.55/208.81 (define @t46 () (forall @t9 (or @t40 (not (tptp.part_of @t39 @t42)) @t30))) % 208.55/208.81 (define @t47 () (forall @t9 (or @t40 (not (tptp.part_of @t42 @t39)) @t30))) % 208.55/208.81 (define @t48 () (tptp.inner_point @t3 @t1)) % 208.55/208.81 (define @t49 () (not @t48)) % 208.55/208.81 (define @t50 () (forall @t9 (or @t49 @t29))) % 208.55/208.81 (define @t51 () (forall @t9 (or @t49 @t31))) % 208.55/208.81 (define @t52 () (forall @t9 (or @t40 @t30 @t48))) % 208.55/208.81 (define @t53 () (tptp.meet @t3 @t1 @t2)) % 208.55/208.81 (define @t54 () (not @t53)) % 208.55/208.81 (define @t55 () (tptp.end_point @t12 @t1)) % 208.55/208.81 (define @t56 () (tptp.ax0_sk5 @t2 @t1 @t3)) % 208.55/208.81 (define @t57 () (tptp.closed @t3)) % 208.55/208.81 (define @t58 () (not @t57)) % 208.55/208.81 (define @t59 () (@list @t3)) % 208.55/208.81 (define @t60 () (tptp.open @t3)) % 208.55/208.81 (define @t61 () (@var "E" $$unsorted)) % 208.55/208.81 (define @t62 () (not (tptp.end_point @t61 @t2))) % 208.55/208.81 (define @t63 () (@list @t3 @t1 @t2 @t12 @t61)) % 208.55/208.81 (define @t64 () (tptp.ax0_sk10 @t3 @t1)) % 208.55/208.81 (define @t65 () (tptp.ax0_sk9 @t3 @t1)) % 208.55/208.81 (define @t66 () (tptp.ax0_sk11 @t3 @t1)) % 208.55/208.81 (define @t67 () (= @t1 @t3)) % 208.55/208.81 (define @t68 () (tptp.ax0_sk13 @t3 @t1)) % 208.55/208.81 (define @t69 () (tptp.incident_c @t68 @t3)) % 208.55/208.81 (define @t70 () (tptp.incident_c @t68 @t1)) % 208.55/208.81 (define @t71 () (not @t70)) % 208.55/208.81 (define @t72 () (not @t69)) % 208.55/208.81 (define @t73 () (tptp.part_of tptp.sk16 tptp.sk14)) % 208.55/208.81 (define @t74 () (tptp.inner_point tptp.sk15 tptp.sk16)) % 208.55/208.81 (define @t75 () (not (tptp.inner_point tptp.sk15 tptp.sk14))) % 208.55/208.81 (define @t76 () (@var "b_C" it_4_$$unsorted)) % 208.55/208.81 (define @t77 () (@const 0 (-> it_4_$$unsorted $$unsorted Bool))) % 208.55/208.81 (define @t78 () (forall (@list @t3 @t1 @t76) (or @t5 (not (_ @t77 @t76 @t3)) (_ @t77 @t76 @t1)))) % 208.55/208.81 (define @t79 () (@const 1 it_4_$$unsorted)) % 208.55/208.81 (define @t80 () (@const 2 (-> $$unsorted it_4_$$unsorted $$unsorted))) % 208.55/208.81 (define @t81 () (_ @t80 tptp.sk16 @t79)) % 208.55/208.81 (define @t82 () (@const 3 (-> $$unsorted $$unsorted it_4_$$unsorted))) % 208.55/208.81 (define @t83 () (_ @t82 @t81 tptp.sk14)) % 208.55/208.81 (define @t84 () (_ @t82 @t3 @t1)) % 208.55/208.81 (define @t85 () (@list @t81 tptp.sk14)) % 208.55/208.81 (define @t86 () (@var "b_A" it_4_$$unsorted)) % 208.55/208.81 (define @t87 () (@const 4 (-> it_4_$$unsorted $$unsorted Bool))) % 208.55/208.81 (define @t88 () (@const 5 (-> $$unsorted it_4_$$unsorted $$unsorted))) % 208.55/208.81 (define @t89 () (_ @t88 tptp.sk16 @t79)) % 208.55/208.81 (define @t90 () (@list @t89 tptp.sk14)) % 208.55/208.81 (define @t91 () (tptp.part_of @t89 tptp.sk14)) % 208.55/208.81 (define @t92 () (_ @t82 @t89 tptp.sk14)) % 208.55/208.81 (define @t93 () (_ @t77 @t92 @t89)) % 208.55/208.81 (define @t94 () (or @t93 @t91)) % 208.55/208.81 (define @t95 () (_ @t77 @t92 tptp.sk14)) % 208.55/208.81 (define @t96 () (not @t95)) % 208.55/208.81 (define @t97 () (or @t96 @t91)) % 208.55/208.81 (define @t98 () (@var "b_A" it_4_$$unsorted)) % 208.55/208.81 (define @t99 () (@list @t79 tptp.sk16)) % 208.55/208.81 (define @t100 () (@var "b_A" it_4_$$unsorted)) % 208.55/208.81 (define @t101 () (@const 6 (-> it_4_$$unsorted $$unsorted Bool))) % 208.55/208.81 (define @t102 () (_ @t101 @t79 tptp.sk16)) % 208.55/208.81 (define @t103 () (_ @t77 @t79 tptp.sk16)) % 208.55/208.81 (define @t104 () (not @t102)) % 208.55/208.81 (define @t105 () (or @t104 @t103)) % 208.55/208.81 (define @t106 () (@list false false)) % 208.55/208.81 (define @t107 () (@var "b_A" it_4_$$unsorted)) % 208.55/208.81 (define @t108 () (_ @t87 @t79 tptp.sk16)) % 208.55/208.81 (define @t109 () (not @t108)) % 208.55/208.81 (define @t110 () (or @t104 @t109)) % 208.55/208.81 (define @t111 () (tptp.part_of @t89 tptp.sk16)) % 208.55/208.81 (define @t112 () (not @t103)) % 208.55/208.81 (define @t113 () (or @t112 @t111 @t108)) % 208.55/208.81 (define @t114 () (@list true false false)) % 208.55/208.81 (define @t115 () (_ @t77 @t92 tptp.sk16)) % 208.55/208.81 (define @t116 () (not @t93)) % 208.55/208.81 (define @t117 () (not @t111)) % 208.55/208.81 (define @t118 () (or @t117 @t116 @t115)) % 208.55/208.81 (define @t119 () (not @t115)) % 208.55/208.81 (define @t120 () (not @t73)) % 208.55/208.81 (define @t121 () (or @t120 @t119 @t95)) % 208.55/208.81 (define @t122 () (@var "b_A" it_4_$$unsorted)) % 208.55/208.81 (define @t123 () (_ @t77 @t79 @t81)) % 208.55/208.81 (define @t124 () (or @t112 @t123 @t108)) % 208.55/208.81 (define @t125 () (@var "b_A" it_4_$$unsorted)) % 208.55/208.81 (define @t126 () (_ @t77 @t79 @t89)) % 208.55/208.81 (define @t127 () (or @t112 @t126 @t108)) % 208.55/208.81 (define @t128 () (@var "b_A" it_4_$$unsorted)) % 208.55/208.81 (define @t129 () (tptp.part_of @t81 @t89)) % 208.55/208.81 (define @t130 () (not @t129)) % 208.55/208.81 (define @t131 () (or @t112 @t130 @t108)) % 208.55/208.81 (define @t132 () (@var "b_A" it_4_$$unsorted)) % 208.55/208.81 (define @t133 () (tptp.part_of @t89 @t81)) % 208.55/208.81 (define @t134 () (not @t133)) % 208.55/208.81 (define @t135 () (or @t112 @t134 @t108)) % 208.55/208.81 (define @t136 () (@var "b_A" it_4_$$unsorted)) % 208.55/208.81 (define @t137 () (_ @t77 @t79 tptp.sk14)) % 208.55/208.81 (define @t138 () (or @t120 @t112 @t137)) % 208.55/208.81 (define @t139 () (_ @t101 @t79 tptp.sk14)) % 208.55/208.81 (define @t140 () (_ @t87 @t79 tptp.sk14)) % 208.55/208.81 (define @t141 () (not @t137)) % 208.55/208.81 (define @t142 () (or @t141 @t140 @t139)) % 208.55/208.81 (define @t143 () (not @t126)) % 208.55/208.81 (define @t144 () (not @t123)) % 208.55/208.81 (define @t145 () (not @t91)) % 208.55/208.81 (define @t146 () (tptp.part_of @t81 tptp.sk14)) % 208.55/208.81 (define @t147 () (not @t146)) % 208.55/208.81 (define @t148 () (not @t140)) % 208.55/208.81 (define @t149 () (or @t148 @t147 @t145 @t144 @t143 @t129 @t133)) % 208.55/208.81 (define @t150 () (_ @t77 @t83 tptp.sk14)) % 208.55/208.81 (define @t151 () (not @t150)) % 208.55/208.81 (define @t152 () (or @t151 @t146)) % 208.55/208.81 (define @t153 () (@list true false)) % 208.55/208.81 (define @t154 () (_ @t77 @t83 tptp.sk16)) % 208.55/208.81 (define @t155 () (not @t154)) % 208.55/208.81 (define @t156 () (or @t120 @t155 @t150)) % 208.55/208.81 (define @t157 () (_ @t77 @t83 @t81)) % 208.55/208.81 (define @t158 () (or @t157 @t146)) % 208.55/208.81 (define @t159 () (@var "b_A" it_4_$$unsorted)) % 208.55/208.81 (define @t160 () (tptp.part_of @t81 tptp.sk16)) % 208.55/208.81 (define @t161 () (or @t112 @t160 @t108)) % 208.55/208.81 (define @t162 () (not @t157)) % 208.55/208.81 (define @t163 () (not @t160)) % 208.55/208.81 (define @t164 () (or @t163 @t162 @t154)) % 208.55/208.81 (define @t165 () (not @t164)) % 208.55/208.81 (assume @p1 @t7) % 208.55/208.81 (assume @p2 @t10) % 208.55/208.81 (assume @p3 @t11) % 208.55/208.81 (assume @p4 (forall @t18 (or @t17 (not @t15) @t14 @t13))) % 208.55/208.81 (assume @p5 (forall @t18 (or @t17 @t19 @t15))) % 208.55/208.81 (assume @p6 (forall @t18 (or @t17 @t20 @t15))) % 208.55/208.81 (assume @p7 (forall @t6 (or @t25 @t24 @t23 @t21))) % 208.55/208.81 (assume @p8 (forall @t6 (or @t25 @t26 @t21))) % 208.55/208.81 (assume @p9 (forall @t6 (or @t27 @t24 @t23 @t21))) % 208.55/208.81 (assume @p10 (forall @t6 (or @t28 @t24 @t23 @t21))) % 208.55/208.81 (assume @p11 (forall @t6 (or @t27 @t26 @t21))) % 208.55/208.81 (assume @p12 (forall @t6 (or @t28 @t26 @t21))) % 208.55/208.81 (assume @p13 (forall @t9 (or @t31 @t29))) % 208.55/208.81 (assume @p14 @t38) % 208.55/208.81 (assume @p15 @t41) % 208.55/208.81 (assume @p16 @t43) % 208.55/208.81 (assume @p17 @t44) % 208.55/208.81 (assume @p18 @t45) % 208.55/208.81 (assume @p19 @t46) % 208.55/208.81 (assume @p20 @t47) % 208.55/208.81 (assume @p21 @t50) % 208.55/208.81 (assume @p22 @t51) % 208.55/208.81 (assume @p23 @t52) % 208.55/208.81 (assume @p24 (forall @t6 (or @t54 @t29))) % 208.55/208.81 (assume @p25 (forall @t6 (or @t54 @t34))) % 208.55/208.81 (assume @p26 (forall @t18 (or @t54 @t19 @t20 @t55))) % 208.55/208.81 (assume @p27 (forall @t18 (or @t54 @t19 @t20 (tptp.end_point @t12 @t2)))) % 208.55/208.81 (assume @p28 (forall @t6 (or @t40 @t35 (tptp.incident_c @t56 @t1) @t53))) % 208.55/208.81 (assume @p29 (forall @t6 (or @t40 @t35 (tptp.incident_c @t56 @t2) @t53))) % 208.55/208.81 (assume @p30 (forall @t6 (or @t40 @t35 (not (tptp.end_point @t56 @t1)) (not (tptp.end_point @t56 @t2)) @t53))) % 208.55/208.81 (assume @p31 (forall @t9 (or @t58 (not (tptp.end_point @t1 @t3))))) % 208.55/208.81 (assume @p32 (forall @t59 (or (tptp.end_point (tptp.ax0_sk6 @t3) @t3) @t57))) % 208.55/208.81 (assume @p33 (forall @t59 (or (not @t60) (tptp.end_point (tptp.ax0_sk7 @t3) @t3)))) % 208.55/208.81 (assume @p34 (forall @t9 (or @t31 (tptp.open @t1)))) % 208.55/208.81 (assume @p35 (forall @t9 (or @t5 (= @t3 @t1) @t60))) % 208.55/208.81 (assume @p36 (forall @t63 (or @t5 @t37 @t36 (not (tptp.end_point @t61 @t3)) @t62 (not (tptp.end_point @t61 @t12)) @t33 @t32 (tptp.part_of @t3 @t2) (tptp.part_of @t2 @t3) (tptp.part_of @t3 @t12) (tptp.part_of @t12 @t3)))) % 208.55/208.81 (assume @p37 (forall @t59 (tptp.inner_point (tptp.ax0_sk8 @t3) @t3))) % 208.55/208.81 (assume @p38 (forall @t9 (or @t49 (tptp.meet @t3 @t65 @t64)))) % 208.55/208.81 (assume @p39 (forall @t9 (or @t49 (= @t1 (tptp.sum @t65 @t64))))) % 208.55/208.81 (assume @p40 (forall @t18 (or @t31 (not (tptp.end_point @t2 @t1)) (not @t55) (= @t3 @t2) (= @t3 @t12) (= @t2 @t12)))) % 208.55/208.81 (assume @p41 (forall @t9 (or @t31 (tptp.end_point @t66 @t1)))) % 208.55/208.81 (assume @p42 (forall @t9 (or @t31 (not (= @t3 @t66))))) % 208.55/208.81 (assume @p43 (forall @t63 (or @t58 (not (tptp.meet @t1 @t2 @t12)) (not (= @t3 (tptp.sum @t2 @t12))) @t62 (tptp.meet @t61 @t2 @t12)))) % 208.55/208.81 (assume @p44 (forall @t6 (or @t54 (= (tptp.ax0_sk12 @t2 @t1) @t16)))) % 208.55/208.81 (assume @p45 (forall @t9 (or @t70 @t69 @t67))) % 208.55/208.81 (assume @p46 (forall @t9 (or @t70 @t71 @t67))) % 208.55/208.81 (assume @p47 (forall @t9 (or @t72 @t69 @t67))) % 208.55/208.81 (assume @p48 (forall @t9 (or @t72 @t71 @t67))) % 208.55/208.81 (assume @p49 @t73) % 208.55/208.81 (assume @p50 @t74) % 208.55/208.81 (assume @p51 @t75) % 208.55/208.81 ; WARNING: add trust step for TRUST % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p52 :rule trust :premises () :args ((= @t7 @t78))) % 208.55/208.81 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 208.55/208.81 (step @p54 :rule instantiate :premises (@p53) :args ((@list tptp.sk16 tptp.sk14 @t83))) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p55 :rule trust :premises () :args ((= @t11 (forall @t9 (or (not (_ @t77 @t84 @t1)) @t4))))) % 208.55/208.81 (step @p56 :rule eq_resolve :premises (@p3 @p55)) % 208.55/208.81 (step @p57 :rule instantiate :premises (@p56) :args (@t85)) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p58 :rule trust :premises () :args ((= @t38 (forall (@list @t86 @t1 @t2 @t12) (or (not (_ @t87 @t86 @t1)) @t37 @t36 (not (_ @t77 @t86 @t2)) (not (_ @t77 @t86 @t12)) @t33 @t32))))) % 208.55/208.81 (step @p59 :rule eq_resolve :premises (@p14 @p58)) % 208.55/208.81 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t79 tptp.sk14 @t81 @t89))) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p61 :rule trust :premises () :args ((= @t10 (forall @t9 (or (_ @t77 @t84 @t3) @t4))))) % 208.55/208.81 (step @p62 :rule eq_resolve :premises (@p2 @p61)) % 208.55/208.81 (step @p63 :rule instantiate :premises (@p62) :args (@t90)) % 208.55/208.81 (step @p64 :rule cnf_or_pos :args (@t94)) % 208.55/208.81 (step @p65 :rule reordering :premises (@p64) :args ((or @t91 @t93 (not @t94)))) % 208.55/208.81 (step @p66 :rule instantiate :premises (@p56) :args (@t90)) % 208.55/208.81 (step @p67 :rule cnf_or_pos :args (@t97)) % 208.55/208.81 (step @p68 :rule reordering :premises (@p67) :args ((or @t91 @t96 (not @t97)))) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p69 :rule trust :premises () :args ((= @t41 (forall (@list @t98 @t1) (or (not (_ @t77 @t98 @t1)) (tptp.part_of (_ @t88 @t1 @t98) @t1) (_ @t87 @t98 @t1)))))) % 208.55/208.81 (step @p70 :rule eq_resolve :premises (@p15 @p69)) % 208.55/208.81 (step @p71 :rule instantiate :premises (@p70) :args (@t99)) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p72 :rule trust :premises () :args ((= @t50 (forall (@list @t100 @t1) (or (not (_ @t101 @t100 @t1)) (_ @t77 @t100 @t1)))))) % 208.55/208.81 (step @p73 :rule eq_resolve :premises (@p21 @p72)) % 208.55/208.81 (step @p74 :rule instantiate :premises (@p73) :args (@t99)) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p75 :rule trust :premises () :args ((= @t74 @t102))) % 208.55/208.81 (step @p76 :rule eq_resolve :premises (@p50 @p75)) % 208.55/208.81 (step @p77 :rule cnf_or_pos :args (@t105)) % 208.55/208.81 (step @p78 :rule reordering :premises (@p77) :args ((or @t104 @t103 (not @t105)))) % 208.55/208.81 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p74) :args (@t103 @t106 (@list @t102 @t105))) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p80 :rule trust :premises () :args ((= @t51 (forall (@list @t107 @t1) (or (not (_ @t101 @t107 @t1)) (not (_ @t87 @t107 @t1))))))) % 208.55/208.81 (step @p81 :rule eq_resolve :premises (@p22 @p80)) % 208.55/208.81 (step @p82 :rule instantiate :premises (@p81) :args (@t99)) % 208.55/208.81 (step @p83 :rule cnf_or_pos :args (@t110)) % 208.55/208.81 (step @p84 :rule reordering :premises (@p83) :args ((or @t104 @t109 (not @t110)))) % 208.55/208.81 (step @p85 :rule chain_m_resolution :premises (@p84 @p76 @p82) :args (@t109 @t106 (@list @t102 @t110))) % 208.55/208.81 (step @p86 :rule cnf_or_pos :args (@t113)) % 208.55/208.81 (step @p87 :rule reordering :premises (@p86) :args ((or @t108 @t112 @t111 (not @t113)))) % 208.55/208.81 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p79 @p71) :args (@t111 @t114 (@list @t108 @t103 @t113))) % 208.55/208.81 (step @p89 :rule instantiate :premises (@p53) :args ((@list @t89 tptp.sk16 @t92))) % 208.55/208.81 (step @p90 :rule cnf_or_pos :args (@t118)) % 208.55/208.81 (step @p91 :rule reordering :premises (@p90) :args ((or @t117 @t116 @t115 (not @t118)))) % 208.55/208.81 (step @p92 :rule instantiate :premises (@p53) :args ((@list tptp.sk16 tptp.sk14 @t92))) % 208.55/208.81 (step @p93 :rule cnf_or_pos :args (@t121)) % 208.55/208.81 (step @p94 :rule reordering :premises (@p93) :args ((or @t120 @t95 @t119 (not @t121)))) % 208.55/208.81 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p49 @p91 @p89 @p88 @p68 @p66 @p65 @p63) :args (@t91 (@list false false false false false true false false false) (@list @t121 @t73 @t115 @t118 @t111 @t95 @t97 @t93 @t94))) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p96 :rule trust :premises () :args ((= @t45 (forall (@list @t122 @t1) (or (not (_ @t77 @t122 @t1)) (_ @t77 @t122 (_ @t80 @t1 @t122)) (_ @t87 @t122 @t1)))))) % 208.55/208.81 (step @p97 :rule eq_resolve :premises (@p18 @p96)) % 208.55/208.81 (step @p98 :rule instantiate :premises (@p97) :args (@t99)) % 208.55/208.81 (step @p99 :rule cnf_or_pos :args (@t124)) % 208.55/208.81 (step @p100 :rule reordering :premises (@p99) :args ((or @t108 @t112 @t123 (not @t124)))) % 208.55/208.81 (step @p101 :rule chain_m_resolution :premises (@p100 @p85 @p79 @p98) :args (@t123 @t114 (@list @t108 @t103 @t124))) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p102 :rule trust :premises () :args ((= @t44 (forall (@list @t125 @t1) (or (not (_ @t77 @t125 @t1)) (_ @t77 @t125 (_ @t88 @t1 @t125)) (_ @t87 @t125 @t1)))))) % 208.55/208.81 (step @p103 :rule eq_resolve :premises (@p17 @p102)) % 208.55/208.81 (step @p104 :rule instantiate :premises (@p103) :args (@t99)) % 208.55/208.81 (step @p105 :rule cnf_or_pos :args (@t127)) % 208.55/208.81 (step @p106 :rule reordering :premises (@p105) :args ((or @t108 @t112 @t126 (not @t127)))) % 208.55/208.81 (step @p107 :rule chain_m_resolution :premises (@p106 @p85 @p79 @p104) :args (@t126 @t114 (@list @t108 @t103 @t127))) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p108 :rule trust :premises () :args ((= @t47 (forall (@list @t128 @t1) (or (not (_ @t77 @t128 @t1)) (not (tptp.part_of (_ @t80 @t1 @t128) (_ @t88 @t1 @t128))) (_ @t87 @t128 @t1)))))) % 208.55/208.81 (step @p109 :rule eq_resolve :premises (@p20 @p108)) % 208.55/208.81 (step @p110 :rule instantiate :premises (@p109) :args (@t99)) % 208.55/208.81 (step @p111 :rule cnf_or_pos :args (@t131)) % 208.55/208.81 (step @p112 :rule reordering :premises (@p111) :args ((or @t108 @t112 @t130 (not @t131)))) % 208.55/208.81 (step @p113 :rule chain_m_resolution :premises (@p112 @p85 @p79 @p110) :args (@t130 @t114 (@list @t108 @t103 @t131))) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p114 :rule trust :premises () :args ((= @t46 (forall (@list @t132 @t1) (or (not (_ @t77 @t132 @t1)) (not (tptp.part_of (_ @t88 @t1 @t132) (_ @t80 @t1 @t132))) (_ @t87 @t132 @t1)))))) % 208.55/208.81 (step @p115 :rule eq_resolve :premises (@p19 @p114)) % 208.55/208.81 (step @p116 :rule instantiate :premises (@p115) :args (@t99)) % 208.55/208.81 (step @p117 :rule cnf_or_pos :args (@t135)) % 208.55/208.81 (step @p118 :rule reordering :premises (@p117) :args ((or @t108 @t112 @t134 (not @t135)))) % 208.55/208.81 (step @p119 :rule chain_m_resolution :premises (@p118 @p85 @p79 @p116) :args (@t134 @t114 (@list @t108 @t103 @t135))) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p120 :rule trust :premises () :args ((= @t52 (forall (@list @t136 @t1) (or (not (_ @t77 @t136 @t1)) (_ @t87 @t136 @t1) (_ @t101 @t136 @t1)))))) % 208.55/208.81 (step @p121 :rule eq_resolve :premises (@p23 @p120)) % 208.55/208.81 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t79 tptp.sk14))) % 208.55/208.81 (step @p123 :rule instantiate :premises (@p53) :args ((@list tptp.sk16 tptp.sk14 @t79))) % 208.55/208.81 (step @p124 :rule cnf_or_pos :args (@t138)) % 208.55/208.81 (step @p125 :rule reordering :premises (@p124) :args ((or @t120 @t137 @t112 (not @t138)))) % 208.55/208.81 (step @p126 :rule chain_m_resolution :premises (@p125 @p49 @p79 @p123) :args (@t137 (@list false false false) (@list @t73 @t103 @t138))) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p127 :rule trust :premises () :args ((= @t75 (not @t139)))) % 208.55/208.81 (step @p128 :rule eq_resolve :premises (@p51 @p127)) % 208.55/208.81 (step @p129 :rule cnf_or_pos :args (@t142)) % 208.55/208.81 (step @p130 :rule reordering :premises (@p129) :args ((or @t139 @t141 @t140 (not @t142)))) % 208.55/208.81 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p126 @p122) :args (@t140 @t114 (@list @t139 @t137 @t142))) % 208.55/208.81 (step @p132 :rule cnf_or_pos :args (@t149)) % 208.55/208.81 (step @p133 :rule reordering :premises (@p132) :args ((or @t148 @t133 @t129 @t143 @t144 @t145 @t147 (not @t149)))) % 208.55/208.81 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p119 @p113 @p107 @p101 @p95 @p60) :args (@t147 (@list false true true false false false false) (@list @t140 @t133 @t129 @t126 @t123 @t91 @t149))) % 208.55/208.81 (step @p135 :rule cnf_or_pos :args (@t152)) % 208.55/208.81 (step @p136 :rule reordering :premises (@p135) :args ((or @t146 @t151 (not @t152)))) % 208.55/208.81 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p57) :args (@t151 @t153 (@list @t146 @t152))) % 208.55/208.81 (step @p138 :rule cnf_or_pos :args (@t156)) % 208.55/208.81 (step @p139 :rule reordering :premises (@p138) :args ((or @t120 @t150 @t155 (not @t156)))) % 208.55/208.81 (step @p140 :rule chain_m_resolution :premises (@p139 @p49 @p137 @p54) :args (@t155 (@list false true false) (@list @t73 @t150 @t156))) % 208.55/208.81 (step @p141 :rule instantiate :premises (@p62) :args (@t85)) % 208.55/208.81 (step @p142 :rule cnf_or_pos :args (@t158)) % 208.55/208.81 (step @p143 :rule reordering :premises (@p142) :args ((or @t146 @t157 (not @t158)))) % 208.55/208.81 (step @p144 :rule chain_m_resolution :premises (@p143 @p134 @p141) :args (@t157 @t153 (@list @t146 @t158))) % 208.55/208.81 ; trust TRUST PREPROCESS_SORT_INFER % 208.55/208.81 (step @p145 :rule trust :premises () :args ((= @t43 (forall (@list @t159 @t1) (or (not (_ @t77 @t159 @t1)) (tptp.part_of (_ @t80 @t1 @t159) @t1) (_ @t87 @t159 @t1)))))) % 208.55/208.81 (step @p146 :rule eq_resolve :premises (@p16 @p145)) % 208.55/208.81 (step @p147 :rule instantiate :premises (@p146) :args (@t99)) % 208.55/208.81 (step @p148 :rule cnf_or_pos :args (@t161)) % 208.55/208.81 (step @p149 :rule reordering :premises (@p148) :args ((or @t108 @t112 @t160 (not @t161)))) % 208.55/208.81 (step @p150 :rule chain_m_resolution :premises (@p149 @p85 @p79 @p147) :args (@t160 @t114 (@list @t108 @t103 @t161))) % 208.55/208.81 (step @p151 :rule cnf_or_pos :args (@t164)) % 208.55/208.81 (step @p152 :rule reordering :premises (@p151) :args ((or @t163 @t162 @t154 @t165))) % 208.55/208.81 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p144 @p140) :args (@t165 (@list false false true) (@list @t160 @t157 @t154))) % 208.55/208.81 (assume-push @p160 @t78) % 208.55/208.81 (step @p155 :rule instantiate :premises (@p53) :args ((@list @t81 tptp.sk16 @t83))) % 208.55/208.81 (step-pop @p161 :rule scope :premises (@p155)) % 208.55/208.81 (step @p156 :rule process_scope :premises (@p161) :args (@t164)) % 208.55/208.81 (step @p158 :rule implies_elim :premises (@p156)) % 208.55/208.81 (step @p159 false :rule chain_m_resolution :premises (@p158 @p153 @p53) :args (false @t153 (@list @t164 @t78))) % 208.55/208.81 ) % 208.55/208.81 % SZS output end Proof % 208.55/208.82 % cvc5 exiting %------------------------------------------------------------------------------