%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO088-1 : 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 : n009.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 205.57s 205.89s % Output : Proof 205.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO088-1 : 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 % 0.17/0.34 % Computer : n009.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 23:18:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/15.91 --- Run --no-e-matching --full-saturate-quant at 6... % 21.74/21.95 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.76/28.00 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 27.86/34.04 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.03/64.26 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.13/79.38 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.32/112.60 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 112.43/127.93 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.91/158.19 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.99/173.29 --- Run --relevant-triggers --full-saturate-quant at 30... % 203.26/203.55 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 205.57/205.89 % SZS status Unsatisfiable % 205.57/205.89 % SZS output start Proof % 205.67/205.90 ( % 205.67/205.90 (declare-sort $$unsorted 0) % 205.67/205.90 (declare-const tptp.sk14 $$unsorted) % 205.67/205.90 (declare-const tptp.ax0_sk11 (-> $$unsorted $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.ax0_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.sk16 $$unsorted) % 205.67/205.90 (declare-const tptp.ax0_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.sk15 $$unsorted) % 205.67/205.90 (declare-const tptp.ax0_sk7 (-> $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 205.67/205.90 (declare-const tptp.ax0_sk12 (-> $$unsorted $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.ax0_sk3 (-> $$unsorted $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.open (-> $$unsorted Bool)) % 205.67/205.90 (declare-const tptp.ax0_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 205.67/205.90 (declare-const tptp.ax0_sk4 (-> $$unsorted $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.ax0_sk6 (-> $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.ax0_sk8 (-> $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.ax0_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.ax0_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 205.67/205.90 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 205.67/205.90 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 205.67/205.90 (declare-const tptp.ax0_sk13 (-> $$unsorted $$unsorted $$unsorted)) % 205.67/205.90 (declare-const tptp.closed (-> $$unsorted Bool)) % 205.67/205.90 (define @t1 () (@var "B" $$unsorted)) % 205.67/205.90 (define @t2 () (@var "C" $$unsorted)) % 205.67/205.90 (define @t3 () (@var "A" $$unsorted)) % 205.67/205.90 (define @t4 () (tptp.part_of @t3 @t1)) % 205.67/205.90 (define @t5 () (not @t4)) % 205.67/205.90 (define @t6 () (@list @t3 @t1 @t2)) % 205.67/205.90 (define @t7 () (forall @t6 (or @t5 (not (tptp.incident_c @t2 @t3)) (tptp.incident_c @t2 @t1)))) % 205.67/205.90 (define @t8 () (tptp.ax0_sk1 @t3 @t1)) % 205.67/205.90 (define @t9 () (@list @t3 @t1)) % 205.67/205.90 (define @t10 () (forall @t9 (or (tptp.incident_c @t8 @t3) @t4))) % 205.67/205.90 (define @t11 () (forall @t9 (or (not (tptp.incident_c @t8 @t1)) @t4))) % 205.67/205.90 (define @t12 () (@var "D" $$unsorted)) % 205.67/205.90 (define @t13 () (tptp.incident_c @t12 @t2)) % 205.67/205.90 (define @t14 () (tptp.incident_c @t12 @t1)) % 205.67/205.90 (define @t15 () (tptp.incident_c @t12 @t3)) % 205.67/205.90 (define @t16 () (tptp.sum @t1 @t2)) % 205.67/205.90 (define @t17 () (not (= @t3 @t16))) % 205.67/205.90 (define @t18 () (@list @t3 @t1 @t2 @t12)) % 205.67/205.90 (define @t19 () (not @t14)) % 205.67/205.90 (define @t20 () (not @t13)) % 205.67/205.90 (define @t21 () (= @t2 (tptp.sum @t1 @t3))) % 205.67/205.90 (define @t22 () (tptp.ax0_sk2 @t3 @t1 @t2)) % 205.67/205.90 (define @t23 () (tptp.incident_c @t22 @t3)) % 205.67/205.90 (define @t24 () (tptp.incident_c @t22 @t1)) % 205.67/205.90 (define @t25 () (tptp.incident_c @t22 @t2)) % 205.67/205.90 (define @t26 () (not @t25)) % 205.67/205.90 (define @t27 () (not @t24)) % 205.67/205.90 (define @t28 () (not @t23)) % 205.67/205.90 (define @t29 () (tptp.incident_c @t3 @t1)) % 205.67/205.90 (define @t30 () (tptp.end_point @t3 @t1)) % 205.67/205.90 (define @t31 () (not @t30)) % 205.67/205.90 (define @t32 () (tptp.part_of @t12 @t2)) % 205.67/205.90 (define @t33 () (tptp.part_of @t2 @t12)) % 205.67/205.90 (define @t34 () (tptp.incident_c @t3 @t2)) % 205.67/205.90 (define @t35 () (not @t34)) % 205.67/205.90 (define @t36 () (not (tptp.part_of @t12 @t1))) % 205.67/205.90 (define @t37 () (not (tptp.part_of @t2 @t1))) % 205.67/205.90 (define @t38 () (forall @t18 (or @t31 @t37 @t36 @t35 (not (tptp.incident_c @t3 @t12)) @t33 @t32))) % 205.67/205.90 (define @t39 () (tptp.ax0_sk3 @t1 @t3)) % 205.67/205.90 (define @t40 () (not @t29)) % 205.67/205.90 (define @t41 () (forall @t9 (or @t40 (tptp.part_of @t39 @t1) @t30))) % 205.67/205.90 (define @t42 () (tptp.ax0_sk4 @t1 @t3)) % 205.67/205.90 (define @t43 () (forall @t9 (or @t40 (tptp.part_of @t42 @t1) @t30))) % 205.67/205.90 (define @t44 () (forall @t9 (or @t40 (tptp.incident_c @t3 @t39) @t30))) % 205.67/205.90 (define @t45 () (forall @t9 (or @t40 (tptp.incident_c @t3 @t42) @t30))) % 205.67/205.90 (define @t46 () (forall @t9 (or @t40 (not (tptp.part_of @t39 @t42)) @t30))) % 205.67/205.90 (define @t47 () (forall @t9 (or @t40 (not (tptp.part_of @t42 @t39)) @t30))) % 205.67/205.90 (define @t48 () (tptp.inner_point @t3 @t1)) % 205.67/205.90 (define @t49 () (not @t48)) % 205.67/205.90 (define @t50 () (tptp.meet @t3 @t1 @t2)) % 205.67/205.90 (define @t51 () (not @t50)) % 205.67/205.90 (define @t52 () (tptp.end_point @t12 @t1)) % 205.67/205.90 (define @t53 () (tptp.ax0_sk5 @t2 @t1 @t3)) % 205.67/205.90 (define @t54 () (tptp.closed @t3)) % 205.67/205.90 (define @t55 () (not @t54)) % 205.67/205.90 (define @t56 () (@list @t3)) % 205.67/205.90 (define @t57 () (tptp.open @t3)) % 205.67/205.90 (define @t58 () (@var "E" $$unsorted)) % 205.67/205.90 (define @t59 () (not (tptp.end_point @t58 @t2))) % 205.67/205.90 (define @t60 () (@list @t3 @t1 @t2 @t12 @t58)) % 205.67/205.90 (define @t61 () (tptp.ax0_sk10 @t3 @t1)) % 205.67/205.90 (define @t62 () (tptp.ax0_sk9 @t3 @t1)) % 205.67/205.90 (define @t63 () (tptp.ax0_sk11 @t3 @t1)) % 205.67/205.90 (define @t64 () (= @t1 @t3)) % 205.67/205.90 (define @t65 () (tptp.ax0_sk13 @t3 @t1)) % 205.67/205.90 (define @t66 () (tptp.incident_c @t65 @t3)) % 205.67/205.90 (define @t67 () (tptp.incident_c @t65 @t1)) % 205.67/205.90 (define @t68 () (not @t67)) % 205.67/205.90 (define @t69 () (not @t66)) % 205.67/205.90 (define @t70 () (tptp.part_of tptp.sk15 tptp.sk14)) % 205.67/205.90 (define @t71 () (tptp.end_point tptp.sk16 tptp.sk14)) % 205.67/205.90 (define @t72 () (tptp.incident_c tptp.sk16 tptp.sk15)) % 205.67/205.90 (define @t73 () (not (tptp.end_point tptp.sk16 tptp.sk15))) % 205.67/205.90 (define @t74 () (@var "b_C" it_4_$$unsorted)) % 205.67/205.90 (define @t75 () (@const 0 (-> it_4_$$unsorted $$unsorted Bool))) % 205.67/205.90 (define @t76 () (forall (@list @t3 @t1 @t74) (or @t5 (not (_ @t75 @t74 @t3)) (_ @t75 @t74 @t1)))) % 205.67/205.90 (define @t77 () (@const 1 it_4_$$unsorted)) % 205.67/205.90 (define @t78 () (@const 2 (-> $$unsorted it_4_$$unsorted $$unsorted))) % 205.67/205.90 (define @t79 () (_ @t78 tptp.sk15 @t77)) % 205.67/205.90 (define @t80 () (@const 3 (-> $$unsorted $$unsorted it_4_$$unsorted))) % 205.67/205.90 (define @t81 () (_ @t80 @t79 tptp.sk14)) % 205.67/205.90 (define @t82 () (_ @t80 @t3 @t1)) % 205.67/205.90 (define @t83 () (@list @t79 tptp.sk14)) % 205.67/205.90 (define @t84 () (@var "b_A" it_4_$$unsorted)) % 205.67/205.90 (define @t85 () (@const 4 (-> it_4_$$unsorted $$unsorted Bool))) % 205.67/205.90 (define @t86 () (@const 5 (-> $$unsorted it_4_$$unsorted $$unsorted))) % 205.67/205.90 (define @t87 () (_ @t86 tptp.sk15 @t77)) % 205.67/205.90 (define @t88 () (@list @t87 tptp.sk14)) % 205.67/205.90 (define @t89 () (tptp.part_of @t87 tptp.sk14)) % 205.67/205.90 (define @t90 () (_ @t80 @t87 tptp.sk14)) % 205.67/205.90 (define @t91 () (_ @t75 @t90 @t87)) % 205.67/205.90 (define @t92 () (or @t91 @t89)) % 205.67/205.90 (define @t93 () (_ @t75 @t90 tptp.sk14)) % 205.67/205.90 (define @t94 () (not @t93)) % 205.67/205.90 (define @t95 () (or @t94 @t89)) % 205.67/205.90 (define @t96 () (@var "b_A" it_4_$$unsorted)) % 205.67/205.90 (define @t97 () (@list @t77 tptp.sk15)) % 205.67/205.90 (define @t98 () (_ @t75 @t77 tptp.sk15)) % 205.67/205.90 (define @t99 () (_ @t85 @t77 tptp.sk15)) % 205.67/205.90 (define @t100 () (tptp.part_of @t87 tptp.sk15)) % 205.67/205.90 (define @t101 () (not @t98)) % 205.67/205.90 (define @t102 () (or @t101 @t100 @t99)) % 205.67/205.90 (define @t103 () (@list true false false)) % 205.67/205.90 (define @t104 () (_ @t75 @t90 tptp.sk15)) % 205.67/205.90 (define @t105 () (not @t91)) % 205.67/205.90 (define @t106 () (not @t100)) % 205.67/205.90 (define @t107 () (or @t106 @t105 @t104)) % 205.67/205.90 (define @t108 () (not @t104)) % 205.67/205.90 (define @t109 () (not @t70)) % 205.67/205.90 (define @t110 () (or @t109 @t108 @t93)) % 205.67/205.90 (define @t111 () (@var "b_A" it_4_$$unsorted)) % 205.67/205.90 (define @t112 () (_ @t75 @t77 @t79)) % 205.67/205.90 (define @t113 () (or @t101 @t112 @t99)) % 205.67/205.90 (define @t114 () (@var "b_A" it_4_$$unsorted)) % 205.67/205.90 (define @t115 () (_ @t75 @t77 @t87)) % 205.67/205.90 (define @t116 () (or @t101 @t115 @t99)) % 205.67/205.90 (define @t117 () (@var "b_A" it_4_$$unsorted)) % 205.67/205.90 (define @t118 () (tptp.part_of @t79 @t87)) % 205.67/205.90 (define @t119 () (not @t118)) % 205.67/205.90 (define @t120 () (or @t101 @t119 @t99)) % 205.67/205.90 (define @t121 () (@var "b_A" it_4_$$unsorted)) % 205.67/205.90 (define @t122 () (tptp.part_of @t87 @t79)) % 205.67/205.90 (define @t123 () (not @t122)) % 205.67/205.90 (define @t124 () (or @t101 @t123 @t99)) % 205.67/205.90 (define @t125 () (_ @t85 @t77 tptp.sk14)) % 205.67/205.90 (define @t126 () (not @t115)) % 205.67/205.90 (define @t127 () (not @t112)) % 205.67/205.90 (define @t128 () (not @t89)) % 205.67/205.90 (define @t129 () (tptp.part_of @t79 tptp.sk14)) % 205.67/205.90 (define @t130 () (not @t129)) % 205.67/205.90 (define @t131 () (not @t125)) % 205.67/205.90 (define @t132 () (or @t131 @t130 @t128 @t127 @t126 @t118 @t122)) % 205.67/205.90 (define @t133 () (_ @t75 @t81 @t79)) % 205.67/205.90 (define @t134 () (or @t133 @t129)) % 205.67/205.90 (define @t135 () (@list true false)) % 205.67/205.90 (define @t136 () (@var "b_A" it_4_$$unsorted)) % 205.67/205.90 (define @t137 () (tptp.part_of @t79 tptp.sk15)) % 205.67/205.90 (define @t138 () (or @t101 @t137 @t99)) % 205.67/205.90 (define @t139 () (_ @t75 @t81 tptp.sk15)) % 205.67/205.90 (define @t140 () (not @t133)) % 205.67/205.90 (define @t141 () (not @t137)) % 205.67/205.90 (define @t142 () (or @t141 @t140 @t139)) % 205.67/205.90 (define @t143 () (_ @t75 @t81 tptp.sk14)) % 205.67/205.90 (define @t144 () (not @t143)) % 205.67/205.90 (define @t145 () (or @t144 @t129)) % 205.67/205.90 (define @t146 () (not @t139)) % 205.67/205.90 (define @t147 () (or @t109 @t146 @t143)) % 205.67/205.90 (define @t148 () (not @t147)) % 205.67/205.90 (assume @p1 @t7) % 205.67/205.90 (assume @p2 @t10) % 205.67/205.90 (assume @p3 @t11) % 205.67/205.90 (assume @p4 (forall @t18 (or @t17 (not @t15) @t14 @t13))) % 205.67/205.90 (assume @p5 (forall @t18 (or @t17 @t19 @t15))) % 205.67/205.90 (assume @p6 (forall @t18 (or @t17 @t20 @t15))) % 205.67/205.90 (assume @p7 (forall @t6 (or @t25 @t24 @t23 @t21))) % 205.67/205.90 (assume @p8 (forall @t6 (or @t25 @t26 @t21))) % 205.67/205.90 (assume @p9 (forall @t6 (or @t27 @t24 @t23 @t21))) % 205.67/205.90 (assume @p10 (forall @t6 (or @t28 @t24 @t23 @t21))) % 205.67/205.90 (assume @p11 (forall @t6 (or @t27 @t26 @t21))) % 205.67/205.90 (assume @p12 (forall @t6 (or @t28 @t26 @t21))) % 205.67/205.90 (assume @p13 (forall @t9 (or @t31 @t29))) % 205.67/205.90 (assume @p14 @t38) % 205.67/205.90 (assume @p15 @t41) % 205.67/205.90 (assume @p16 @t43) % 205.67/205.90 (assume @p17 @t44) % 205.67/205.90 (assume @p18 @t45) % 205.67/205.90 (assume @p19 @t46) % 205.67/205.90 (assume @p20 @t47) % 205.67/205.90 (assume @p21 (forall @t9 (or @t49 @t29))) % 205.67/205.90 (assume @p22 (forall @t9 (or @t49 @t31))) % 205.67/205.90 (assume @p23 (forall @t9 (or @t40 @t30 @t48))) % 205.67/205.90 (assume @p24 (forall @t6 (or @t51 @t29))) % 205.67/205.90 (assume @p25 (forall @t6 (or @t51 @t34))) % 205.67/205.90 (assume @p26 (forall @t18 (or @t51 @t19 @t20 @t52))) % 205.67/205.90 (assume @p27 (forall @t18 (or @t51 @t19 @t20 (tptp.end_point @t12 @t2)))) % 205.67/205.90 (assume @p28 (forall @t6 (or @t40 @t35 (tptp.incident_c @t53 @t1) @t50))) % 205.67/205.90 (assume @p29 (forall @t6 (or @t40 @t35 (tptp.incident_c @t53 @t2) @t50))) % 205.67/205.90 (assume @p30 (forall @t6 (or @t40 @t35 (not (tptp.end_point @t53 @t1)) (not (tptp.end_point @t53 @t2)) @t50))) % 205.67/205.90 (assume @p31 (forall @t9 (or @t55 (not (tptp.end_point @t1 @t3))))) % 205.67/205.90 (assume @p32 (forall @t56 (or (tptp.end_point (tptp.ax0_sk6 @t3) @t3) @t54))) % 205.67/205.90 (assume @p33 (forall @t56 (or (not @t57) (tptp.end_point (tptp.ax0_sk7 @t3) @t3)))) % 205.67/205.90 (assume @p34 (forall @t9 (or @t31 (tptp.open @t1)))) % 205.67/205.90 (assume @p35 (forall @t9 (or @t5 (= @t3 @t1) @t57))) % 205.67/205.90 (assume @p36 (forall @t60 (or @t5 @t37 @t36 (not (tptp.end_point @t58 @t3)) @t59 (not (tptp.end_point @t58 @t12)) @t33 @t32 (tptp.part_of @t3 @t2) (tptp.part_of @t2 @t3) (tptp.part_of @t3 @t12) (tptp.part_of @t12 @t3)))) % 205.67/205.90 (assume @p37 (forall @t56 (tptp.inner_point (tptp.ax0_sk8 @t3) @t3))) % 205.67/205.90 (assume @p38 (forall @t9 (or @t49 (tptp.meet @t3 @t62 @t61)))) % 205.67/205.90 (assume @p39 (forall @t9 (or @t49 (= @t1 (tptp.sum @t62 @t61))))) % 205.67/205.90 (assume @p40 (forall @t18 (or @t31 (not (tptp.end_point @t2 @t1)) (not @t52) (= @t3 @t2) (= @t3 @t12) (= @t2 @t12)))) % 205.67/205.90 (assume @p41 (forall @t9 (or @t31 (tptp.end_point @t63 @t1)))) % 205.67/205.90 (assume @p42 (forall @t9 (or @t31 (not (= @t3 @t63))))) % 205.67/205.90 (assume @p43 (forall @t60 (or @t55 (not (tptp.meet @t1 @t2 @t12)) (not (= @t3 (tptp.sum @t2 @t12))) @t59 (tptp.meet @t58 @t2 @t12)))) % 205.67/205.90 (assume @p44 (forall @t6 (or @t51 (= (tptp.ax0_sk12 @t2 @t1) @t16)))) % 205.67/205.90 (assume @p45 (forall @t9 (or @t67 @t66 @t64))) % 205.67/205.90 (assume @p46 (forall @t9 (or @t67 @t68 @t64))) % 205.67/205.90 (assume @p47 (forall @t9 (or @t69 @t66 @t64))) % 205.67/205.90 (assume @p48 (forall @t9 (or @t69 @t68 @t64))) % 205.67/205.90 (assume @p49 @t70) % 205.67/205.90 (assume @p50 @t71) % 205.67/205.90 (assume @p51 @t72) % 205.67/205.90 (assume @p52 @t73) % 205.67/205.90 ; WARNING: add trust step for TRUST % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p53 :rule trust :premises () :args ((= @t7 @t76))) % 205.67/205.90 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 205.67/205.90 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t79 tptp.sk15 @t81))) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p56 :rule trust :premises () :args ((= @t10 (forall @t9 (or (_ @t75 @t82 @t3) @t4))))) % 205.67/205.90 (step @p57 :rule eq_resolve :premises (@p2 @p56)) % 205.67/205.90 (step @p58 :rule instantiate :premises (@p57) :args (@t83)) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p59 :rule trust :premises () :args ((= @t38 (forall (@list @t84 @t1 @t2 @t12) (or (not (_ @t85 @t84 @t1)) @t37 @t36 (not (_ @t75 @t84 @t2)) (not (_ @t75 @t84 @t12)) @t33 @t32))))) % 205.67/205.90 (step @p60 :rule eq_resolve :premises (@p14 @p59)) % 205.67/205.90 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t77 tptp.sk14 @t79 @t87))) % 205.67/205.90 (step @p62 :rule instantiate :premises (@p57) :args (@t88)) % 205.67/205.90 (step @p63 :rule cnf_or_pos :args (@t92)) % 205.67/205.90 (step @p64 :rule reordering :premises (@p63) :args ((or @t89 @t91 (not @t92)))) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p65 :rule trust :premises () :args ((= @t11 (forall @t9 (or (not (_ @t75 @t82 @t1)) @t4))))) % 205.67/205.90 (step @p66 :rule eq_resolve :premises (@p3 @p65)) % 205.67/205.90 (step @p67 :rule instantiate :premises (@p66) :args (@t88)) % 205.67/205.90 (step @p68 :rule cnf_or_pos :args (@t95)) % 205.67/205.90 (step @p69 :rule reordering :premises (@p68) :args ((or @t89 @t94 (not @t95)))) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p70 :rule trust :premises () :args ((= @t41 (forall (@list @t96 @t1) (or (not (_ @t75 @t96 @t1)) (tptp.part_of (_ @t86 @t1 @t96) @t1) (_ @t85 @t96 @t1)))))) % 205.67/205.90 (step @p71 :rule eq_resolve :premises (@p15 @p70)) % 205.67/205.90 (step @p72 :rule instantiate :premises (@p71) :args (@t97)) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p73 :rule trust :premises () :args ((= @t72 @t98))) % 205.67/205.90 (step @p74 :rule eq_resolve :premises (@p51 @p73)) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p75 :rule trust :premises () :args ((= @t73 (not @t99)))) % 205.67/205.90 (step @p76 :rule eq_resolve :premises (@p52 @p75)) % 205.67/205.90 (step @p77 :rule cnf_or_pos :args (@t102)) % 205.67/205.90 (step @p78 :rule reordering :premises (@p77) :args ((or @t99 @t101 @t100 (not @t102)))) % 205.67/205.90 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p74 @p72) :args (@t100 @t103 (@list @t99 @t98 @t102))) % 205.67/205.90 (step @p80 :rule instantiate :premises (@p54) :args ((@list @t87 tptp.sk15 @t90))) % 205.67/205.90 (step @p81 :rule cnf_or_pos :args (@t107)) % 205.67/205.90 (step @p82 :rule reordering :premises (@p81) :args ((or @t106 @t105 @t104 (not @t107)))) % 205.67/205.90 (step @p83 :rule instantiate :premises (@p54) :args ((@list tptp.sk15 tptp.sk14 @t90))) % 205.67/205.90 (step @p84 :rule cnf_or_pos :args (@t110)) % 205.67/205.90 (step @p85 :rule reordering :premises (@p84) :args ((or @t109 @t93 @t108 (not @t110)))) % 205.67/205.90 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p49 @p82 @p80 @p79 @p69 @p67 @p64 @p62) :args (@t89 (@list false false false false false true false false false) (@list @t110 @t70 @t104 @t107 @t100 @t93 @t95 @t91 @t92))) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p87 :rule trust :premises () :args ((= @t45 (forall (@list @t111 @t1) (or (not (_ @t75 @t111 @t1)) (_ @t75 @t111 (_ @t78 @t1 @t111)) (_ @t85 @t111 @t1)))))) % 205.67/205.90 (step @p88 :rule eq_resolve :premises (@p18 @p87)) % 205.67/205.90 (step @p89 :rule instantiate :premises (@p88) :args (@t97)) % 205.67/205.90 (step @p90 :rule cnf_or_pos :args (@t113)) % 205.67/205.90 (step @p91 :rule reordering :premises (@p90) :args ((or @t99 @t101 @t112 (not @t113)))) % 205.67/205.90 (step @p92 :rule chain_m_resolution :premises (@p91 @p76 @p74 @p89) :args (@t112 @t103 (@list @t99 @t98 @t113))) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p93 :rule trust :premises () :args ((= @t44 (forall (@list @t114 @t1) (or (not (_ @t75 @t114 @t1)) (_ @t75 @t114 (_ @t86 @t1 @t114)) (_ @t85 @t114 @t1)))))) % 205.67/205.90 (step @p94 :rule eq_resolve :premises (@p17 @p93)) % 205.67/205.90 (step @p95 :rule instantiate :premises (@p94) :args (@t97)) % 205.67/205.90 (step @p96 :rule cnf_or_pos :args (@t116)) % 205.67/205.90 (step @p97 :rule reordering :premises (@p96) :args ((or @t99 @t101 @t115 (not @t116)))) % 205.67/205.90 (step @p98 :rule chain_m_resolution :premises (@p97 @p76 @p74 @p95) :args (@t115 @t103 (@list @t99 @t98 @t116))) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p99 :rule trust :premises () :args ((= @t47 (forall (@list @t117 @t1) (or (not (_ @t75 @t117 @t1)) (not (tptp.part_of (_ @t78 @t1 @t117) (_ @t86 @t1 @t117))) (_ @t85 @t117 @t1)))))) % 205.67/205.90 (step @p100 :rule eq_resolve :premises (@p20 @p99)) % 205.67/205.90 (step @p101 :rule instantiate :premises (@p100) :args (@t97)) % 205.67/205.90 (step @p102 :rule cnf_or_pos :args (@t120)) % 205.67/205.90 (step @p103 :rule reordering :premises (@p102) :args ((or @t99 @t101 @t119 (not @t120)))) % 205.67/205.90 (step @p104 :rule chain_m_resolution :premises (@p103 @p76 @p74 @p101) :args (@t119 @t103 (@list @t99 @t98 @t120))) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p105 :rule trust :premises () :args ((= @t46 (forall (@list @t121 @t1) (or (not (_ @t75 @t121 @t1)) (not (tptp.part_of (_ @t86 @t1 @t121) (_ @t78 @t1 @t121))) (_ @t85 @t121 @t1)))))) % 205.67/205.90 (step @p106 :rule eq_resolve :premises (@p19 @p105)) % 205.67/205.90 (step @p107 :rule instantiate :premises (@p106) :args (@t97)) % 205.67/205.90 (step @p108 :rule cnf_or_pos :args (@t124)) % 205.67/205.90 (step @p109 :rule reordering :premises (@p108) :args ((or @t99 @t101 @t123 (not @t124)))) % 205.67/205.90 (step @p110 :rule chain_m_resolution :premises (@p109 @p76 @p74 @p107) :args (@t123 @t103 (@list @t99 @t98 @t124))) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p111 :rule trust :premises () :args ((= @t71 @t125))) % 205.67/205.90 (step @p112 :rule eq_resolve :premises (@p50 @p111)) % 205.67/205.90 (step @p113 :rule cnf_or_pos :args (@t132)) % 205.67/205.90 (step @p114 :rule reordering :premises (@p113) :args ((or @t131 @t122 @t118 @t126 @t127 @t128 @t130 (not @t132)))) % 205.67/205.90 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p110 @p104 @p98 @p92 @p86 @p61) :args (@t130 (@list false true true false false false false) (@list @t125 @t122 @t118 @t115 @t112 @t89 @t132))) % 205.67/205.90 (step @p116 :rule cnf_or_pos :args (@t134)) % 205.67/205.90 (step @p117 :rule reordering :premises (@p116) :args ((or @t129 @t133 (not @t134)))) % 205.67/205.90 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p58) :args (@t133 @t135 (@list @t129 @t134))) % 205.67/205.90 ; trust TRUST PREPROCESS_SORT_INFER % 205.67/205.90 (step @p119 :rule trust :premises () :args ((= @t43 (forall (@list @t136 @t1) (or (not (_ @t75 @t136 @t1)) (tptp.part_of (_ @t78 @t1 @t136) @t1) (_ @t85 @t136 @t1)))))) % 205.67/205.90 (step @p120 :rule eq_resolve :premises (@p16 @p119)) % 205.67/205.90 (step @p121 :rule instantiate :premises (@p120) :args (@t97)) % 205.67/205.90 (step @p122 :rule cnf_or_pos :args (@t138)) % 205.67/205.90 (step @p123 :rule reordering :premises (@p122) :args ((or @t99 @t101 @t137 (not @t138)))) % 205.67/205.90 (step @p124 :rule chain_m_resolution :premises (@p123 @p76 @p74 @p121) :args (@t137 @t103 (@list @t99 @t98 @t138))) % 205.67/205.90 (step @p125 :rule cnf_or_pos :args (@t142)) % 205.67/205.90 (step @p126 :rule reordering :premises (@p125) :args ((or @t141 @t140 @t139 (not @t142)))) % 205.67/205.90 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p118 @p55) :args (@t139 (@list false false false) (@list @t137 @t133 @t142))) % 205.67/205.90 (step @p128 :rule instantiate :premises (@p66) :args (@t83)) % 205.67/205.90 (step @p129 :rule cnf_or_pos :args (@t145)) % 205.67/205.90 (step @p130 :rule reordering :premises (@p129) :args ((or @t129 @t144 (not @t145)))) % 205.67/205.90 (step @p131 :rule chain_m_resolution :premises (@p130 @p115 @p128) :args (@t144 @t135 (@list @t129 @t145))) % 205.67/205.90 (step @p132 :rule cnf_or_pos :args (@t147)) % 205.67/205.90 (step @p133 :rule reordering :premises (@p132) :args ((or @t109 @t143 @t146 @t148))) % 205.67/205.90 (step @p134 :rule chain_m_resolution :premises (@p133 @p49 @p131 @p127) :args (@t148 (@list false true false) (@list @t70 @t143 @t139))) % 205.67/205.90 (assume-push @p141 @t76) % 205.67/205.90 (step @p136 :rule instantiate :premises (@p54) :args ((@list tptp.sk15 tptp.sk14 @t81))) % 205.67/205.90 (step-pop @p142 :rule scope :premises (@p136)) % 205.67/205.90 (step @p137 :rule process_scope :premises (@p142) :args (@t147)) % 205.67/205.90 (step @p139 :rule implies_elim :premises (@p137)) % 205.67/205.90 (step @p140 false :rule chain_m_resolution :premises (@p139 @p134 @p54) :args (false @t135 (@list @t147 @t76))) % 205.67/205.90 ) % 205.67/205.90 % SZS output end Proof % 205.67/205.91 % cvc5 exiting %------------------------------------------------------------------------------