%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEO127-1 : 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 : n006.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 08:16:25 AM UTC 2026 % Result : Unsatisfiable 204.05s 204.41s % Output : Proof 204.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEO127-1 : 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 : n006.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 23:27:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/15.81 --- Run --no-e-matching --full-saturate-quant at 6... % 21.61/21.86 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.70/27.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.72/33.96 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.80/64.21 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.06/79.33 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.23/112.56 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 112.31/128.05 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.88/158.25 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.99/173.38 --- Run --relevant-triggers --full-saturate-quant at 30... % 203.16/203.58 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.05/204.41 % SZS status Unsatisfiable % 204.05/204.41 % SZS output start Proof % 204.05/204.43 ( % 204.05/204.43 (declare-sort $$unsorted 0) % 204.05/204.43 (declare-const tptp.sk25 $$unsorted) % 204.05/204.43 (declare-const tptp.ax2_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.underlying_curve (-> $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax2_sk8 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax2_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax2_sk3 (-> $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax2_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.closed (-> $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.ax0_sk13 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.end_point (-> $$unsorted $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.incident_c (-> $$unsorted $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.sk26 $$unsorted) % 204.05/204.43 (declare-const tptp.ax2_sk7 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.inner_point (-> $$unsorted $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.ordered_by (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.ax2_sk4 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax0_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax0_sk8 (-> $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.start_point (-> $$unsorted $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.ax0_sk6 (-> $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax0_sk4 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.open (-> $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.incident_o (-> $$unsorted $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax0_sk3 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.sk27 $$unsorted) % 204.05/204.43 (declare-const tptp.ax0_sk12 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.part_of (-> $$unsorted $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.ax2_sk2 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax0_sk2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax0_sk7 (-> $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax0_sk10 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax0_sk9 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax0_sk11 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax0_sk5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.between_c (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.ax2_sk6 (-> $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.between_o (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 204.05/204.43 (declare-const tptp.ax1_sk1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.ax2_sk1 (-> $$unsorted $$unsorted $$unsorted)) % 204.05/204.43 (declare-const tptp.finish_point (-> $$unsorted $$unsorted Bool)) % 204.05/204.43 (define @t1 () (@var "B" $$unsorted)) % 204.05/204.43 (define @t2 () (@var "C" $$unsorted)) % 204.05/204.43 (define @t3 () (@var "A" $$unsorted)) % 204.05/204.43 (define @t4 () (tptp.incident_c @t2 @t3)) % 204.05/204.43 (define @t5 () (not @t4)) % 204.05/204.43 (define @t6 () (tptp.part_of @t3 @t1)) % 204.05/204.43 (define @t7 () (not @t6)) % 204.05/204.43 (define @t8 () (@list @t3 @t1 @t2)) % 204.05/204.43 (define @t9 () (forall @t8 (or @t7 @t5 (tptp.incident_c @t2 @t1)))) % 204.05/204.43 (define @t10 () (tptp.ax0_sk1 @t3 @t1)) % 204.05/204.43 (define @t11 () (@list @t3 @t1)) % 204.05/204.43 (define @t12 () (forall @t11 (or (tptp.incident_c @t10 @t3) @t6))) % 204.05/204.43 (define @t13 () (forall @t11 (or (not (tptp.incident_c @t10 @t1)) @t6))) % 204.05/204.43 (define @t14 () (@var "D" $$unsorted)) % 204.05/204.43 (define @t15 () (tptp.incident_c @t14 @t2)) % 204.05/204.43 (define @t16 () (tptp.incident_c @t14 @t1)) % 204.05/204.43 (define @t17 () (tptp.incident_c @t14 @t3)) % 204.05/204.43 (define @t18 () (not @t17)) % 204.05/204.43 (define @t19 () (tptp.sum @t1 @t2)) % 204.05/204.43 (define @t20 () (not (= @t3 @t19))) % 204.05/204.43 (define @t21 () (@list @t3 @t1 @t2 @t14)) % 204.05/204.43 (define @t22 () (not @t16)) % 204.05/204.43 (define @t23 () (not @t15)) % 204.05/204.43 (define @t24 () (= @t2 (tptp.sum @t1 @t3))) % 204.05/204.43 (define @t25 () (tptp.ax0_sk2 @t3 @t1 @t2)) % 204.05/204.43 (define @t26 () (tptp.incident_c @t25 @t3)) % 204.05/204.43 (define @t27 () (tptp.incident_c @t25 @t1)) % 204.05/204.43 (define @t28 () (tptp.incident_c @t25 @t2)) % 204.05/204.43 (define @t29 () (not @t28)) % 204.05/204.43 (define @t30 () (not @t27)) % 204.05/204.43 (define @t31 () (not @t26)) % 204.05/204.43 (define @t32 () (tptp.incident_c @t3 @t1)) % 204.05/204.43 (define @t33 () (tptp.end_point @t3 @t1)) % 204.05/204.43 (define @t34 () (not @t33)) % 204.05/204.43 (define @t35 () (forall @t11 (or @t34 @t32))) % 204.05/204.43 (define @t36 () (tptp.part_of @t14 @t2)) % 204.05/204.43 (define @t37 () (tptp.part_of @t2 @t14)) % 204.05/204.43 (define @t38 () (tptp.incident_c @t3 @t2)) % 204.05/204.43 (define @t39 () (not @t38)) % 204.05/204.43 (define @t40 () (not (tptp.part_of @t14 @t1))) % 204.05/204.43 (define @t41 () (not (tptp.part_of @t2 @t1))) % 204.05/204.43 (define @t42 () (tptp.ax0_sk3 @t1 @t3)) % 204.05/204.43 (define @t43 () (not @t32)) % 204.05/204.43 (define @t44 () (tptp.ax0_sk4 @t1 @t3)) % 204.05/204.43 (define @t45 () (forall @t11 (or @t43 (tptp.part_of @t44 @t1) @t33))) % 204.05/204.43 (define @t46 () (forall @t11 (or @t43 (tptp.incident_c @t3 @t42) @t33))) % 204.05/204.43 (define @t47 () (forall @t11 (or @t43 (not (tptp.part_of @t44 @t42)) @t33))) % 204.05/204.43 (define @t48 () (tptp.inner_point @t3 @t1)) % 204.05/204.43 (define @t49 () (not @t48)) % 204.05/204.43 (define @t50 () (tptp.meet @t3 @t1 @t2)) % 204.05/204.43 (define @t51 () (not @t50)) % 204.05/204.43 (define @t52 () (tptp.end_point @t14 @t1)) % 204.05/204.43 (define @t53 () (tptp.ax0_sk5 @t2 @t1 @t3)) % 204.05/204.43 (define @t54 () (tptp.closed @t3)) % 204.05/204.43 (define @t55 () (not @t54)) % 204.05/204.43 (define @t56 () (@list @t3)) % 204.05/204.43 (define @t57 () (tptp.open @t3)) % 204.05/204.43 (define @t58 () (not @t57)) % 204.05/204.43 (define @t59 () (= @t3 @t1)) % 204.05/204.43 (define @t60 () (@var "E" $$unsorted)) % 204.05/204.43 (define @t61 () (not (tptp.end_point @t60 @t2))) % 204.05/204.43 (define @t62 () (@list @t3 @t1 @t2 @t14 @t60)) % 204.05/204.43 (define @t63 () (tptp.ax0_sk10 @t3 @t1)) % 204.05/204.43 (define @t64 () (tptp.ax0_sk9 @t3 @t1)) % 204.05/204.43 (define @t65 () (= @t3 @t2)) % 204.05/204.43 (define @t66 () (tptp.ax0_sk11 @t3 @t1)) % 204.05/204.43 (define @t67 () (forall @t11 (or @t34 (tptp.end_point @t66 @t1)))) % 204.05/204.43 (define @t68 () (forall @t11 (or @t34 (not (= @t3 @t66))))) % 204.05/204.43 (define @t69 () (= @t1 @t3)) % 204.05/204.43 (define @t70 () (tptp.ax0_sk13 @t3 @t1)) % 204.05/204.43 (define @t71 () (tptp.incident_c @t70 @t3)) % 204.05/204.43 (define @t72 () (tptp.incident_c @t70 @t1)) % 204.05/204.43 (define @t73 () (not @t72)) % 204.05/204.43 (define @t74 () (not @t71)) % 204.05/204.43 (define @t75 () (not (tptp.between_c @t3 @t1 @t2 @t14))) % 204.05/204.43 (define @t76 () (tptp.ax1_sk1 @t14 @t2 @t1 @t3)) % 204.05/204.43 (define @t77 () (tptp.ordered_by @t3 @t14 @t2)) % 204.05/204.43 (define @t78 () (tptp.ordered_by @t3 @t1 @t2)) % 204.05/204.43 (define @t79 () (tptp.between_o @t3 @t1 @t2 @t14)) % 204.05/204.43 (define @t80 () (not @t79)) % 204.05/204.43 (define @t81 () (tptp.ordered_by @t3 @t2 @t1)) % 204.05/204.43 (define @t82 () (tptp.ordered_by @t3 @t2 @t14)) % 204.05/204.43 (define @t83 () (not @t82)) % 204.05/204.43 (define @t84 () (not @t78)) % 204.05/204.43 (define @t85 () (tptp.incident_o @t3 @t1)) % 204.05/204.43 (define @t86 () (tptp.start_point @t3 @t1)) % 204.05/204.43 (define @t87 () (not @t86)) % 204.05/204.43 (define @t88 () (tptp.incident_o @t2 @t1)) % 204.05/204.43 (define @t89 () (not @t88)) % 204.05/204.43 (define @t90 () (forall @t8 (or @t87 @t65 @t89 (tptp.ordered_by @t1 @t3 @t2)))) % 204.05/204.43 (define @t91 () (tptp.ax2_sk1 @t1 @t3)) % 204.05/204.43 (define @t92 () (not @t85)) % 204.05/204.43 (define @t93 () (tptp.finish_point @t3 @t1)) % 204.05/204.43 (define @t94 () (not @t93)) % 204.05/204.43 (define @t95 () (tptp.ax2_sk2 @t1 @t3)) % 204.05/204.43 (define @t96 () (forall @t8 (or @t84 (tptp.incident_o @t1 @t3)))) % 204.05/204.43 (define @t97 () (forall @t8 (or @t84 (tptp.incident_o @t2 @t3)))) % 204.05/204.43 (define @t98 () (tptp.incident_c @t3 (tptp.ax2_sk3 @t1))) % 204.05/204.43 (define @t99 () (tptp.ax2_sk4 @t3 @t14 @t2 @t1)) % 204.05/204.43 (define @t100 () (tptp.incident_c @t60 @t99)) % 204.05/204.43 (define @t101 () (tptp.incident_o @t60 @t3)) % 204.05/204.43 (define @t102 () (tptp.between_o @t1 @t60 @t14 @t2)) % 204.05/204.43 (define @t103 () (not (tptp.between_c @t3 @t60 @t14 @t2))) % 204.05/204.43 (define @t104 () (tptp.ax2_sk5 @t3 @t1 @t2 @t14 @t60)) % 204.05/204.43 (define @t105 () (tptp.incident_c @t104 @t3)) % 204.05/204.43 (define @t106 () (tptp.incident_o @t104 @t1)) % 204.05/204.43 (define @t107 () (not @t106)) % 204.05/204.43 (define @t108 () (not @t105)) % 204.05/204.43 (define @t109 () (forall @t56 (tptp.start_point (tptp.ax2_sk6 @t3) @t3))) % 204.05/204.43 (define @t110 () (tptp.ax2_sk7 @t3 @t2 @t1)) % 204.05/204.43 (define @t111 () (tptp.incident_o @t14 @t110)) % 204.05/204.43 (define @t112 () (not (tptp.incident_c @t1 @t3))) % 204.05/204.43 (define @t113 () (= @t1 @t2)) % 204.05/204.43 (define @t114 () (tptp.ax2_sk9 @t1 @t3)) % 204.05/204.43 (define @t115 () (tptp.ax2_sk8 @t1 @t3)) % 204.05/204.43 (define @t116 () (tptp.ordered_by @t3 @t115 @t114)) % 204.05/204.43 (define @t117 () (tptp.ax2_sk9 @t3 @t1)) % 204.05/204.43 (define @t118 () (tptp.ax2_sk8 @t3 @t1)) % 204.05/204.43 (define @t119 () (tptp.ordered_by @t3 @t118 @t117)) % 204.05/204.43 (define @t120 () (not @t119)) % 204.05/204.43 (define @t121 () (tptp.underlying_curve @t1)) % 204.05/204.43 (define @t122 () (not (= @t3 @t121))) % 204.05/204.43 (define @t123 () (or @t122 @t89 @t4)) % 204.05/204.43 (define @t124 () (forall @t8 @t123)) % 204.05/204.43 (define @t125 () (or @t122 @t5 @t88)) % 204.05/204.43 (define @t126 () (forall @t8 @t125)) % 204.05/204.43 (define @t127 () (= @t1 (tptp.underlying_curve @t3))) % 204.05/204.43 (define @t128 () (tptp.ax2_sk10 @t3 @t1)) % 204.05/204.43 (define @t129 () (tptp.incident_c @t128 @t1)) % 204.05/204.43 (define @t130 () (tptp.incident_o @t128 @t3)) % 204.05/204.43 (define @t131 () (not @t130)) % 204.05/204.43 (define @t132 () (not @t129)) % 204.05/204.43 (define @t133 () (tptp.ordered_by tptp.sk25 tptp.sk27 tptp.sk26)) % 204.05/204.43 (define @t134 () (tptp.ordered_by tptp.sk25 tptp.sk26 tptp.sk27)) % 204.05/204.43 (define @t135 () (tptp.incident_o tptp.sk26 tptp.sk25)) % 204.05/204.43 (define @t136 () (or @t135 @t134 @t133)) % 204.05/204.43 (define @t137 () (not @t135)) % 204.05/204.43 (define @t138 () (not (tptp.ordered_by tptp.sk25 tptp.sk26 @t3))) % 204.05/204.43 (define @t139 () (not (tptp.ordered_by tptp.sk25 @t3 tptp.sk26))) % 204.05/204.43 (define @t140 () (or @t138 @t137)) % 204.05/204.43 (define @t141 () (forall @t56 @t140)) % 204.05/204.43 (define @t142 () (or @t139 @t137)) % 204.05/204.43 (define @t143 () (forall @t56 @t142)) % 204.05/204.43 (define @t144 () (@var "b_C" it_4_$$unsorted)) % 204.05/204.43 (define @t145 () (@var "b_A" it_4_$$unsorted)) % 204.05/204.43 (define @t146 () (@var "b_B" it_338_$$unsorted)) % 204.05/204.43 (define @t147 () (@const 0 (-> it_338_$$unsorted it_4_$$unsorted it_4_$$unsorted Bool))) % 204.05/204.43 (define @t148 () (@const 1 (-> it_4_$$unsorted it_338_$$unsorted Bool))) % 204.05/204.43 (define @t149 () (@const 2 (-> it_4_$$unsorted it_338_$$unsorted Bool))) % 204.05/204.43 (define @t150 () (forall (@list @t145 @t146 @t144) (or (not (_ @t149 @t145 @t146)) (= @t145 @t144) (not (_ @t148 @t144 @t146)) (_ @t147 @t146 @t145 @t144)))) % 204.05/204.43 (define @t151 () (@var "b_B" it_338_$$unsorted)) % 204.05/204.43 (define @t152 () (@var "b_C" it_4_$$unsorted)) % 204.05/204.43 (define @t153 () (@const 3 (-> it_338_$$unsorted $$unsorted))) % 204.05/204.43 (define @t154 () (@const 4 (-> it_4_$$unsorted $$unsorted Bool))) % 204.05/204.43 (define @t155 () (tptp.incident_c @t2 @t121)) % 204.05/204.43 (define @t156 () (not @t155)) % 204.05/204.43 (define @t157 () (or @t156 @t88)) % 204.05/204.43 (define @t158 () (@list @t1 @t2)) % 204.05/204.43 (define @t159 () (not (= @t121 @t121))) % 204.05/204.43 (define @t160 () (or @t159 @t156 @t88)) % 204.05/204.43 (define @t161 () (or @t122 @t122 @t5 @t88)) % 204.05/204.43 (define @t162 () (forall @t56 @t125)) % 204.05/204.43 (define @t163 () (forall @t158 @t162)) % 204.05/204.43 (define @t164 () (@list @t1 @t2 @t3)) % 204.05/204.43 (define @t165 () (forall @t164 @t125)) % 204.05/204.43 (define @t166 () (@const 6 it_4_$$unsorted)) % 204.05/204.43 (define @t167 () (@const 5 it_338_$$unsorted)) % 204.05/204.43 (define @t168 () (_ @t153 @t167)) % 204.05/204.43 (define @t169 () (@const 7 (-> $$unsorted it_4_$$unsorted $$unsorted))) % 204.05/204.43 (define @t170 () (_ @t169 @t168 @t166)) % 204.05/204.43 (define @t171 () (@const 8 (-> $$unsorted it_4_$$unsorted $$unsorted))) % 204.05/204.43 (define @t172 () (_ @t171 @t168 @t166)) % 204.05/204.43 (define @t173 () (@const 9 (-> $$unsorted $$unsorted it_4_$$unsorted))) % 204.05/204.43 (define @t174 () (_ @t173 @t172 @t170)) % 204.05/204.43 (define @t175 () (@var "b_C" it_4_$$unsorted)) % 204.05/204.43 (define @t176 () (_ @t173 @t3 @t1)) % 204.05/204.43 (define @t177 () (@list @t172 @t170)) % 204.05/204.43 (define @t178 () (@var "b_A" it_4_$$unsorted)) % 204.05/204.43 (define @t179 () (@const 10 (-> it_4_$$unsorted $$unsorted Bool))) % 204.05/204.43 (define @t180 () (@list @t166 @t168)) % 204.05/204.43 (define @t181 () (@var "b_A" it_4_$$unsorted)) % 204.05/204.43 (define @t182 () (@const 11 (-> it_4_$$unsorted $$unsorted it_4_$$unsorted))) % 204.05/204.43 (define @t183 () (_ @t182 @t166 @t168)) % 204.05/204.43 (define @t184 () (= @t166 @t183)) % 204.05/204.43 (define @t185 () (not @t184)) % 204.05/204.43 (define @t186 () (_ @t179 @t166 @t168)) % 204.05/204.43 (define @t187 () (not @t186)) % 204.05/204.43 (define @t188 () (or @t187 @t185)) % 204.05/204.43 (define @t189 () (@var "b_A" it_4_$$unsorted)) % 204.05/204.43 (define @t190 () (_ @t179 @t183 @t168)) % 204.05/204.43 (define @t191 () (or @t187 @t190)) % 204.05/204.43 (define @t192 () (@var "b_A" it_338_$$unsorted)) % 204.05/204.43 (define @t193 () (@var "b_B" it_4_$$unsorted)) % 204.05/204.43 (define @t194 () (@var "b_C" it_4_$$unsorted)) % 204.05/204.43 (define @t195 () (@const 12 it_4_$$unsorted)) % 204.05/204.43 (define @t196 () (_ @t148 @t166 @t167)) % 204.05/204.43 (define @t197 () (_ @t147 @t167 @t166 @t195)) % 204.05/204.43 (define @t198 () (not @t197)) % 204.05/204.43 (define @t199 () (or @t198 @t196)) % 204.05/204.43 (define @t200 () (_ @t147 @t167 @t195 @t166)) % 204.05/204.43 (define @t201 () (@var "b_A" it_338_$$unsorted)) % 204.05/204.43 (define @t202 () (@var "b_C" it_4_$$unsorted)) % 204.05/204.43 (define @t203 () (@var "b_B" it_4_$$unsorted)) % 204.05/204.43 (define @t204 () (not @t200)) % 204.05/204.43 (define @t205 () (or @t204 @t196)) % 204.05/204.43 (define @t206 () (@list false false true false)) % 204.05/204.43 (define @t207 () (@var "b_A" it_4_$$unsorted)) % 204.05/204.43 (define @t208 () (forall (@list @t207) (not (_ @t147 @t167 @t166 @t207)))) % 204.05/204.43 (define @t209 () (not @t196)) % 204.05/204.43 (define @t210 () (or @t137 (forall @t56 @t138))) % 204.05/204.43 (define @t211 () (or @t137 @t138)) % 204.05/204.43 (define @t212 () (@list false)) % 204.05/204.43 (define @t213 () (@list @t196)) % 204.05/204.43 (define @t214 () (@const 13 (-> it_338_$$unsorted it_4_$$unsorted))) % 204.05/204.43 (define @t215 () (_ @t214 @t167)) % 204.05/204.43 (define @t216 () (_ @t147 @t167 @t215 @t166)) % 204.05/204.43 (define @t217 () (_ @t149 @t215 @t167)) % 204.05/204.43 (define @t218 () (not @t217)) % 204.05/204.43 (define @t219 () (or @t218 (= @t215 @t166) @t209 @t216)) % 204.05/204.43 (define @t220 () (= @t166 @t215)) % 204.05/204.43 (define @t221 () (or @t218 @t220 @t209 @t216)) % 204.05/204.43 (define @t222 () (@var "b_A" it_4_$$unsorted)) % 204.05/204.43 (define @t223 () (forall (@list @t222) (not (_ @t147 @t167 @t222 @t166)))) % 204.05/204.43 (define @t224 () (or @t137 (forall @t56 @t139))) % 204.05/204.43 (define @t225 () (or @t137 @t139)) % 204.05/204.43 (define @t226 () (@var "b_A" it_338_$$unsorted)) % 204.05/204.43 (define @t227 () (not @t220)) % 204.05/204.43 (define @t228 () (_ @t149 @t166 @t167)) % 204.05/204.43 (define @t229 () (not @t228)) % 204.05/204.43 (define @t230 () (and @t229 @t220 @t217)) % 204.05/204.43 (define @t231 () (@list false false)) % 204.05/204.43 (define @t232 () (_ @t147 @t167 @t166 @t183)) % 204.05/204.43 (define @t233 () (_ @t148 @t183 @t167)) % 204.05/204.43 (define @t234 () (not @t233)) % 204.05/204.43 (define @t235 () (or @t229 @t184 @t234 @t232)) % 204.05/204.43 (define @t236 () (@var "b_A" it_4_$$unsorted)) % 204.05/204.43 (define @t237 () (_ @t154 @t183 @t168)) % 204.05/204.43 (define @t238 () (not @t190)) % 204.05/204.43 (define @t239 () (or @t238 @t237)) % 204.05/204.43 (define @t240 () (not @t237)) % 204.05/204.43 (define @t241 () (or @t240 @t233)) % 204.05/204.43 (define @t242 () (@var "b_B" it_338_$$unsorted)) % 204.05/204.43 (define @t243 () (@var "b_C" it_4_$$unsorted)) % 204.05/204.43 (define @t244 () (or @t89 @t155)) % 204.05/204.43 (define @t245 () (or @t159 @t89 @t155)) % 204.05/204.43 (define @t246 () (or @t122 @t122 @t89 @t4)) % 204.05/204.43 (define @t247 () (forall @t56 @t123)) % 204.05/204.43 (define @t248 () (forall @t158 @t247)) % 204.05/204.43 (define @t249 () (forall @t164 @t123)) % 204.05/204.43 (define @t250 () (_ @t154 @t166 @t168)) % 204.05/204.43 (define @t251 () (or @t209 @t250)) % 204.05/204.43 (define @t252 () (tptp.part_of @t172 @t170)) % 204.05/204.43 (define @t253 () (not @t252)) % 204.05/204.43 (define @t254 () (not @t250)) % 204.05/204.43 (define @t255 () (or @t254 @t253 @t186)) % 204.05/204.43 (define @t256 () (@list false true false)) % 204.05/204.43 (define @t257 () (_ @t154 @t174 @t172)) % 204.05/204.43 (define @t258 () (or @t257 @t252)) % 204.05/204.43 (define @t259 () (@list true false)) % 204.05/204.43 (define @t260 () (@var "b_A" it_4_$$unsorted)) % 204.05/204.43 (define @t261 () (tptp.part_of @t172 @t168)) % 204.05/204.43 (define @t262 () (or @t254 @t261 @t186)) % 204.05/204.43 (define @t263 () (_ @t154 @t174 @t168)) % 204.05/204.43 (define @t264 () (not @t257)) % 204.05/204.43 (define @t265 () (not @t261)) % 204.05/204.43 (define @t266 () (or @t265 @t264 @t263)) % 204.05/204.43 (define @t267 () (_ @t148 @t174 @t167)) % 204.05/204.43 (define @t268 () (not @t263)) % 204.05/204.43 (define @t269 () (or @t268 @t267)) % 204.05/204.43 (define @t270 () (@var "b_A" it_4_$$unsorted)) % 204.05/204.43 (define @t271 () (_ @t154 @t166 @t170)) % 204.05/204.43 (define @t272 () (or @t254 @t271 @t186)) % 204.05/204.43 (define @t273 () (_ @t154 @t174 @t170)) % 204.05/204.43 (define @t274 () (not @t273)) % 204.05/204.43 (define @t275 () (or @t274 @t252)) % 204.05/204.43 (define @t276 () (= @t166 @t174)) % 204.05/204.43 (define @t277 () (and @t276 @t271)) % 204.05/204.43 (define @t278 () (not @t276)) % 204.05/204.43 (define @t279 () (_ @t147 @t167 @t166 @t174)) % 204.05/204.43 (define @t280 () (not @t267)) % 204.05/204.43 (define @t281 () (or @t229 @t276 @t280 @t279)) % 204.05/204.43 (define @t282 () (not @t281)) % 204.05/204.43 (assume @p1 @t9) % 204.05/204.43 (assume @p2 @t12) % 204.05/204.43 (assume @p3 @t13) % 204.05/204.43 (assume @p4 (forall @t21 (or @t20 @t18 @t16 @t15))) % 204.05/204.43 (assume @p5 (forall @t21 (or @t20 @t22 @t17))) % 204.05/204.43 (assume @p6 (forall @t21 (or @t20 @t23 @t17))) % 204.05/204.43 (assume @p7 (forall @t8 (or @t28 @t27 @t26 @t24))) % 204.05/204.43 (assume @p8 (forall @t8 (or @t28 @t29 @t24))) % 204.05/204.43 (assume @p9 (forall @t8 (or @t30 @t27 @t26 @t24))) % 204.05/204.43 (assume @p10 (forall @t8 (or @t31 @t27 @t26 @t24))) % 204.05/204.43 (assume @p11 (forall @t8 (or @t30 @t29 @t24))) % 204.05/204.43 (assume @p12 (forall @t8 (or @t31 @t29 @t24))) % 204.05/204.43 (assume @p13 @t35) % 204.05/204.43 (assume @p14 (forall @t21 (or @t34 @t41 @t40 @t39 (not (tptp.incident_c @t3 @t14)) @t37 @t36))) % 204.05/204.43 (assume @p15 (forall @t11 (or @t43 (tptp.part_of @t42 @t1) @t33))) % 204.05/204.43 (assume @p16 @t45) % 204.05/204.43 (assume @p17 @t46) % 204.05/204.43 (assume @p18 (forall @t11 (or @t43 (tptp.incident_c @t3 @t44) @t33))) % 204.05/204.43 (assume @p19 (forall @t11 (or @t43 (not (tptp.part_of @t42 @t44)) @t33))) % 204.05/204.43 (assume @p20 @t47) % 204.05/204.43 (assume @p21 (forall @t11 (or @t49 @t32))) % 204.05/204.43 (assume @p22 (forall @t11 (or @t49 @t34))) % 204.05/204.43 (assume @p23 (forall @t11 (or @t43 @t33 @t48))) % 204.05/204.43 (assume @p24 (forall @t8 (or @t51 @t32))) % 204.05/204.43 (assume @p25 (forall @t8 (or @t51 @t38))) % 204.05/204.43 (assume @p26 (forall @t21 (or @t51 @t22 @t23 @t52))) % 204.05/204.43 (assume @p27 (forall @t21 (or @t51 @t22 @t23 (tptp.end_point @t14 @t2)))) % 204.05/204.43 (assume @p28 (forall @t8 (or @t43 @t39 (tptp.incident_c @t53 @t1) @t50))) % 204.05/204.43 (assume @p29 (forall @t8 (or @t43 @t39 (tptp.incident_c @t53 @t2) @t50))) % 204.05/204.43 (assume @p30 (forall @t8 (or @t43 @t39 (not (tptp.end_point @t53 @t1)) (not (tptp.end_point @t53 @t2)) @t50))) % 204.05/204.43 (assume @p31 (forall @t11 (or @t55 (not (tptp.end_point @t1 @t3))))) % 204.05/204.43 (assume @p32 (forall @t56 (or (tptp.end_point (tptp.ax0_sk6 @t3) @t3) @t54))) % 204.05/204.43 (assume @p33 (forall @t56 (or @t58 (tptp.end_point (tptp.ax0_sk7 @t3) @t3)))) % 204.05/204.43 (assume @p34 (forall @t11 (or @t34 (tptp.open @t1)))) % 204.05/204.43 (assume @p35 (forall @t11 (or @t7 @t59 @t57))) % 204.05/204.43 (assume @p36 (forall @t62 (or @t7 @t41 @t40 (not (tptp.end_point @t60 @t3)) @t61 (not (tptp.end_point @t60 @t14)) @t37 @t36 (tptp.part_of @t3 @t2) (tptp.part_of @t2 @t3) (tptp.part_of @t3 @t14) (tptp.part_of @t14 @t3)))) % 204.05/204.43 (assume @p37 (forall @t56 (tptp.inner_point (tptp.ax0_sk8 @t3) @t3))) % 204.05/204.43 (assume @p38 (forall @t11 (or @t49 (tptp.meet @t3 @t64 @t63)))) % 204.05/204.43 (assume @p39 (forall @t11 (or @t49 (= @t1 (tptp.sum @t64 @t63))))) % 204.05/204.43 (assume @p40 (forall @t21 (or @t34 (not (tptp.end_point @t2 @t1)) (not @t52) @t65 (= @t3 @t14) (= @t2 @t14)))) % 204.05/204.43 (assume @p41 @t67) % 204.05/204.43 (assume @p42 @t68) % 204.05/204.43 (assume @p43 (forall @t62 (or @t55 (not (tptp.meet @t1 @t2 @t14)) (not (= @t3 (tptp.sum @t2 @t14))) @t61 (tptp.meet @t60 @t2 @t14)))) % 204.05/204.43 (assume @p44 (forall @t8 (or @t51 (= (tptp.ax0_sk12 @t2 @t1) @t19)))) % 204.05/204.43 (assume @p45 (forall @t11 (or @t72 @t71 @t69))) % 204.05/204.43 (assume @p46 (forall @t11 (or @t72 @t73 @t69))) % 204.05/204.43 (assume @p47 (forall @t11 (or @t74 @t71 @t69))) % 204.05/204.43 (assume @p48 (forall @t11 (or @t74 @t73 @t69))) % 204.05/204.43 (assume @p49 (forall @t21 (or @t75 (not (= @t1 @t14))))) % 204.05/204.43 (assume @p50 (forall @t21 (or @t75 (tptp.part_of @t76 @t3)))) % 204.05/204.43 (assume @p51 (forall @t21 (or @t75 (tptp.end_point @t1 @t76)))) % 204.05/204.43 (assume @p52 (forall @t21 (or @t75 (tptp.end_point @t14 @t76)))) % 204.05/204.43 (assume @p53 (forall @t21 (or @t75 (tptp.inner_point @t2 @t76)))) % 204.05/204.43 (assume @p54 (forall @t62 (or @t59 (not @t37) (not (tptp.end_point @t3 @t2)) (not (tptp.end_point @t1 @t2)) (not (tptp.inner_point @t60 @t2)) (tptp.between_c @t14 @t3 @t60 @t1)))) % 204.05/204.43 (assume @p55 (forall @t21 (or @t80 @t78 @t77))) % 204.05/204.43 (assume @p56 (forall @t21 (or @t80 @t78 @t81))) % 204.05/204.43 (assume @p57 (forall @t21 (or @t80 @t82 @t77))) % 204.05/204.43 (assume @p58 (forall @t21 (or @t80 @t82 @t81))) % 204.05/204.43 (assume @p59 (forall @t21 (or @t84 @t83 @t79))) % 204.05/204.43 (assume @p60 (forall @t21 (or @t84 @t83 (tptp.between_o @t3 @t14 @t2 @t1)))) % 204.05/204.43 (assume @p61 (forall @t11 (or @t87 @t85))) % 204.05/204.43 (assume @p62 @t90) % 204.05/204.43 (assume @p63 (forall @t11 (or @t92 (not (= @t3 @t91)) @t86))) % 204.05/204.43 (assume @p64 (forall @t11 (or @t92 (tptp.incident_o @t91 @t1) @t86))) % 204.05/204.43 (assume @p65 (forall @t11 (or @t92 (not (tptp.ordered_by @t1 @t3 @t91)) @t86))) % 204.05/204.43 (assume @p66 (forall @t11 (or @t94 @t85))) % 204.05/204.43 (assume @p67 (forall @t8 (or @t94 @t65 @t89 (tptp.ordered_by @t1 @t2 @t3)))) % 204.05/204.43 (assume @p68 (forall @t11 (or @t92 (not (= @t3 @t95)) @t93))) % 204.05/204.43 (assume @p69 (forall @t11 (or @t92 (tptp.incident_o @t95 @t1) @t93))) % 204.05/204.43 (assume @p70 (forall @t11 (or @t92 (not (tptp.ordered_by @t1 @t95 @t3)) @t93))) % 204.05/204.43 (assume @p71 @t96) % 204.05/204.43 (assume @p72 @t97) % 204.05/204.43 (assume @p73 (forall @t56 (tptp.open (tptp.ax2_sk3 @t3)))) % 204.05/204.43 (assume @p74 (forall @t11 (or @t92 @t98))) % 204.05/204.43 (assume @p75 (forall @t11 (or (not @t98) @t85))) % 204.05/204.43 (assume @p76 (forall @t62 (or @t80 (not @t101) @t100))) % 204.05/204.43 (assume @p77 (forall @t62 (or @t80 (not @t100) @t101))) % 204.05/204.43 (assume @p78 (forall @t21 (or @t80 (tptp.between_c @t99 @t1 @t2 @t14)))) % 204.05/204.43 (assume @p79 (forall @t62 (or @t106 @t105 @t103 @t102))) % 204.05/204.43 (assume @p80 (forall @t62 (or @t106 @t107 @t103 @t102))) % 204.05/204.43 (assume @p81 (forall @t62 (or @t108 @t105 @t103 @t102))) % 204.05/204.43 (assume @p82 (forall @t62 (or @t108 @t107 @t103 @t102))) % 204.05/204.43 (assume @p83 @t109) % 204.05/204.43 (assume @p84 (forall @t21 (or @t58 @t113 @t112 @t5 (not @t111) @t17))) % 204.05/204.43 (assume @p85 (forall @t21 (or @t58 @t113 @t112 @t5 @t18 @t111))) % 204.05/204.43 (assume @p86 (forall @t8 (or @t58 @t113 @t112 @t5 (tptp.ordered_by @t110 @t1 @t2)))) % 204.05/204.43 (assume @p87 (forall @t11 (or @t116 (tptp.ordered_by @t1 @t115 @t114) @t59))) % 204.05/204.43 (assume @p88 (forall @t11 (or @t116 (not @t116) @t59))) % 204.05/204.43 (assume @p89 (forall @t11 (or @t120 @t119 @t69))) % 204.05/204.43 (assume @p90 (forall @t11 (or @t120 (not (tptp.ordered_by @t1 @t118 @t117)) @t69))) % 204.05/204.43 (assume @p91 @t124) % 204.05/204.43 (assume @p92 @t126) % 204.05/204.43 (assume @p93 (forall @t11 (or @t130 @t129 @t127))) % 204.05/204.43 (assume @p94 (forall @t11 (or @t130 @t131 @t127))) % 204.05/204.43 (assume @p95 (forall @t11 (or @t132 @t129 @t127))) % 204.05/204.43 (assume @p96 (forall @t11 (or @t132 @t131 @t127))) % 204.05/204.43 (assume @p97 @t136) % 204.05/204.43 (assume @p98 (or @t135 @t137)) % 204.05/204.43 (assume @p99 (forall @t56 (or @t138 @t134 @t133))) % 204.05/204.43 (assume @p100 (forall @t56 (or @t139 @t134 @t133))) % 204.05/204.43 (assume @p101 @t141) % 204.05/204.43 (assume @p102 @t143) % 204.05/204.43 ; WARNING: add trust step for TRUST % 204.05/204.43 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.43 (step @p103 :rule trust :premises () :args ((= @t90 @t150))) % 204.05/204.43 (step @p104 :rule eq_resolve :premises (@p62 @p103)) % 204.05/204.43 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.43 (step @p105 :rule trust :premises () :args ((= (forall @t158 @t157) (forall (@list @t151 @t152) (or (not (_ @t154 @t152 (_ @t153 @t151))) (_ @t148 @t152 @t151)))))) % 204.05/204.43 (step @p106 :rule aci_norm :args ((= (or false @t156 @t88) @t157))) % 204.05/204.43 (step @p107 :rule refl :args (@t88)) % 204.05/204.43 (step @p108 :rule refl :args (@t156)) % 204.05/204.43 (step @p109 :rule evaluate :args ((not true))) % 204.05/204.43 (step @p110 :rule eq-refl :args (@t121)) % 204.05/204.43 (step @p111 :rule cong :premises (@p110) :args (@t159)) % 204.05/204.43 (step @p112 :rule trans :premises (@p111 @p109)) % 204.05/204.43 (step @p113 :rule nary_cong :premises (@p112 @p108 @p107) :args (@t160)) % 204.05/204.43 (step @p114 :rule trans :premises (@p113 @p106)) % 204.05/204.44 (step @p115 :rule cong :premises (@p114) :args ((forall @t158 @t160))) % 204.05/204.44 (step @p116 :rule quant-var-elim-eq :args ((= (forall @t56 @t161) @t160))) % 204.05/204.44 (step @p117 :rule aci_norm :args ((= @t125 @t161))) % 204.05/204.44 (step @p118 :rule cong :premises (@p117) :args (@t162)) % 204.05/204.44 (step @p119 :rule trans :premises (@p118 @p116)) % 204.05/204.44 (step @p120 :rule cong :premises (@p119) :args (@t163)) % 204.05/204.44 (step @p121 :rule quant-merge-prenex :args ((= @t163 @t165))) % 204.05/204.44 (step @p122 :rule symm :premises (@p121)) % 204.05/204.44 (step @p123 :rule quant_var_reordering :args ((= @t126 @t165))) % 204.05/204.44 (step @p124 :rule trans :premises (@p123 @p122 @p120)) % 204.05/204.44 (step @p125 :rule trans :premises (@p124 @p115)) % 204.05/204.44 (step @p126 :rule trans :premises (@p125 @p105)) % 204.05/204.44 (step @p127 :rule eq_resolve :premises (@p92 @p126)) % 204.05/204.44 (step @p128 :rule instantiate :premises (@p127) :args ((@list @t167 @t174))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p129 :rule trust :premises () :args ((= @t9 (forall (@list @t3 @t1 @t175) (or @t7 (not (_ @t154 @t175 @t3)) (_ @t154 @t175 @t1)))))) % 204.05/204.44 (step @p130 :rule eq_resolve :premises (@p1 @p129)) % 204.05/204.44 (step @p131 :rule instantiate :premises (@p130) :args ((@list @t172 @t168 @t174))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p132 :rule trust :premises () :args ((= @t12 (forall @t11 (or (_ @t154 @t176 @t3) @t6))))) % 204.05/204.44 (step @p133 :rule eq_resolve :premises (@p2 @p132)) % 204.05/204.44 (step @p134 :rule instantiate :premises (@p133) :args (@t177)) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p135 :rule trust :premises () :args ((= @t47 (forall (@list @t178 @t1) (or (not (_ @t154 @t178 @t1)) (not (tptp.part_of (_ @t171 @t1 @t178) (_ @t169 @t1 @t178))) (_ @t179 @t178 @t1)))))) % 204.05/204.44 (step @p136 :rule eq_resolve :premises (@p20 @p135)) % 204.05/204.44 (step @p137 :rule instantiate :premises (@p136) :args (@t180)) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p138 :rule trust :premises () :args ((= @t68 (forall (@list @t181 @t1) (or (not (_ @t179 @t181 @t1)) (not (= @t181 (_ @t182 @t181 @t1)))))))) % 204.05/204.44 (step @p139 :rule eq_resolve :premises (@p42 @p138)) % 204.05/204.44 (step @p140 :rule instantiate :premises (@p139) :args (@t180)) % 204.05/204.44 (step @p141 :rule cnf_or_pos :args (@t188)) % 204.05/204.44 (step @p142 :rule reordering :premises (@p141) :args ((or @t187 @t185 (not @t188)))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p143 :rule trust :premises () :args ((= @t67 (forall (@list @t189 @t1) (or (not (_ @t179 @t189 @t1)) (_ @t179 (_ @t182 @t189 @t1) @t1)))))) % 204.05/204.44 (step @p144 :rule eq_resolve :premises (@p41 @p143)) % 204.05/204.44 (step @p145 :rule instantiate :premises (@p144) :args (@t180)) % 204.05/204.44 (step @p146 :rule cnf_or_pos :args (@t191)) % 204.05/204.44 (step @p147 :rule reordering :premises (@p146) :args ((or @t187 @t190 (not @t191)))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p148 :rule trust :premises () :args ((= @t96 (forall (@list @t192 @t193 @t194) (or (not (_ @t147 @t192 @t193 @t194)) (_ @t148 @t193 @t192)))))) % 204.05/204.44 (step @p149 :rule eq_resolve :premises (@p71 @p148)) % 204.05/204.44 (step @p150 :rule instantiate :premises (@p149) :args ((@list @t167 @t166 @t195))) % 204.05/204.44 (step @p151 :rule cnf_or_pos :args (@t199)) % 204.05/204.44 (step @p152 :rule reordering :premises (@p151) :args ((or @t196 @t198 (not @t199)))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p153 :rule trust :premises () :args ((= @t136 (or @t196 @t197 @t200)))) % 204.05/204.44 (step @p154 :rule eq_resolve :premises (@p97 @p153)) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p155 :rule trust :premises () :args ((= @t97 (forall (@list @t201 @t203 @t202) (or (not (_ @t147 @t201 @t203 @t202)) (_ @t148 @t202 @t201)))))) % 204.05/204.44 (step @p156 :rule eq_resolve :premises (@p72 @p155)) % 204.05/204.44 (step @p157 :rule instantiate :premises (@p156) :args ((@list @t167 @t195 @t166))) % 204.05/204.44 (step @p158 :rule cnf_or_pos :args (@t205)) % 204.05/204.44 (step @p159 :rule reordering :premises (@p158) :args ((or @t196 @t204 (not @t205)))) % 204.05/204.44 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p154 @p152 @p150) :args (@t196 @t206 (@list @t205 @t200 @t197 @t199))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p161 :rule trust :premises () :args ((= @t210 (or @t209 @t208)))) % 204.05/204.44 (step @p162 :rule quant-miniscope-or :args ((= (forall @t56 @t211) @t210))) % 204.05/204.44 (step @p163 :rule aci_norm :args ((= @t140 @t211))) % 204.05/204.44 (step @p164 :rule cong :premises (@p163) :args (@t141)) % 204.05/204.44 (step @p165 :rule trans :premises (@p164 @p162)) % 204.05/204.44 (step @p166 :rule trans :premises (@p165 @p161)) % 204.05/204.44 (step @p167 :rule eq_resolve :premises (@p101 @p166)) % 204.05/204.44 (step @p168 :rule chain_m_resolution :premises (@p167 @p160) :args (@t208 @t212 @t213)) % 204.05/204.44 (step @p169 :rule instantiate :premises (@p168) :args ((@list @t183))) % 204.05/204.44 (step @p170 :rule refl :args (@t216)) % 204.05/204.44 (step @p171 :rule refl :args (@t209)) % 204.05/204.44 (step @p172 :rule eq-symm :args (@t215 @t166)) % 204.05/204.44 (step @p173 :rule refl :args (@t218)) % 204.05/204.44 (step @p174 :rule nary_cong :premises (@p173 @p172 @p171 @p170) :args (@t219)) % 204.05/204.44 (step @p175 :rule refl :args (@t150)) % 204.05/204.44 (step @p176 :rule cong :premises (@p175 @p174) :args ((=> @t150 @t219))) % 204.05/204.44 (assume-push @p329 @t150) % 204.05/204.44 (step @p178 :rule instantiate :premises (@p104) :args ((@list @t215 @t167 @t166))) % 204.05/204.44 (step-pop @p330 :rule scope :premises (@p178)) % 204.05/204.44 (step @p179 :rule process_scope :premises (@p330) :args (@t219)) % 204.05/204.44 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 204.05/204.44 (step @p182 :rule implies_elim :premises (@p181)) % 204.05/204.44 (step @p183 :rule chain_m_resolution :premises (@p182 @p104) :args (@t221 @t212 (@list @t150))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p184 :rule trust :premises () :args ((= @t224 (or @t209 @t223)))) % 204.05/204.44 (step @p185 :rule quant-miniscope-or :args ((= (forall @t56 @t225) @t224))) % 204.05/204.44 (step @p186 :rule aci_norm :args ((= @t142 @t225))) % 204.05/204.44 (step @p187 :rule cong :premises (@p186) :args (@t143)) % 204.05/204.44 (step @p188 :rule trans :premises (@p187 @p185)) % 204.05/204.44 (step @p189 :rule trans :premises (@p188 @p184)) % 204.05/204.44 (step @p190 :rule eq_resolve :premises (@p102 @p189)) % 204.05/204.44 (step @p191 :rule chain_m_resolution :premises (@p190 @p160) :args (@t223 @t212 @t213)) % 204.05/204.44 (step @p192 :rule instantiate :premises (@p191) :args ((@list @t215))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p193 :rule trust :premises () :args ((= @t109 (forall (@list @t226) (_ @t149 (_ @t214 @t226) @t226))))) % 204.05/204.44 (step @p194 :rule eq_resolve :premises (@p83 @p193)) % 204.05/204.44 (step @p195 :rule instantiate :premises (@p194) :args ((@list @t167))) % 204.05/204.44 (step @p196 :rule cnf_or_pos :args (@t221)) % 204.05/204.44 (step @p197 :rule reordering :premises (@p196) :args ((or @t209 @t218 @t220 @t216 (not @t221)))) % 204.05/204.44 (step @p198 :rule chain_m_resolution :premises (@p197 @p160 @p195 @p192 @p183) :args (@t220 @t206 (@list @t196 @t217 @t216 @t221))) % 204.05/204.44 (step @p199 :rule refl :args (@t227)) % 204.05/204.44 (step @p200 :rule bool-double-not-elim :args (@t228)) % 204.05/204.44 (step @p201 :rule nary_cong :premises (@p200 @p173 @p199) :args ((or (not @t229) @t218 @t227))) % 204.05/204.44 (assume-push @p331 @t229) % 204.05/204.44 (assume-push @p332 @t220) % 204.05/204.44 (assume-push @p333 @t217) % 204.05/204.44 (step @p205 :rule evaluate :args ((= true false))) % 204.05/204.44 (step @p206 :rule false_intro :premises (@p331)) % 204.05/204.44 (step @p207 :rule refl :args (@t167)) % 204.05/204.44 (step @p208 :rule symm :premises (@p198)) % 204.05/204.44 (step @p209 :rule cong :premises (@p208 @p207) :args (@t217)) % 204.05/204.44 (step @p210 :rule true_intro :premises (@p195)) % 204.05/204.44 (step @p211 :rule symm :premises (@p210)) % 204.05/204.44 (step @p212 :rule trans :premises (@p211 @p209 @p206)) % 204.05/204.44 (step @p213 false :rule eq_resolve :premises (@p212 @p205)) % 204.05/204.44 (step-pop @p334 :rule scope :premises (@p213)) % 204.05/204.44 (step-pop @p335 :rule scope :premises (@p334)) % 204.05/204.44 (step-pop @p336 :rule scope :premises (@p335)) % 204.05/204.44 (step @p214 :rule process_scope :premises (@p336) :args (false)) % 204.05/204.44 (assume-push @p337 @t229) % 204.05/204.44 (assume-push @p338 @t217) % 204.05/204.44 (assume-push @p339 @t220) % 204.05/204.44 (step @p221 :rule and_intro :premises (@p337 @p198 @p195)) % 204.05/204.44 (step-pop @p340 :rule scope :premises (@p221)) % 204.05/204.44 (step-pop @p341 :rule scope :premises (@p340)) % 204.05/204.44 (step-pop @p342 :rule scope :premises (@p341)) % 204.05/204.44 (step @p222 :rule process_scope :premises (@p342) :args (@t230)) % 204.05/204.44 (step @p226 :rule implies_elim :premises (@p222)) % 204.05/204.44 (step @p227 :rule resolution :premises (@p226 @p214) :args (true @t230)) % 204.05/204.44 (step @p228 :rule not_and :premises (@p227)) % 204.05/204.44 (step @p229 :rule eq_resolve :premises (@p228 @p201)) % 204.05/204.44 (step @p230 :rule chain_m_resolution :premises (@p229 @p195 @p198) :args (@t228 @t231 (@list @t217 @t220))) % 204.05/204.44 (step @p231 :rule instantiate :premises (@p104) :args ((@list @t166 @t167 @t183))) % 204.05/204.44 (step @p232 :rule cnf_or_pos :args (@t235)) % 204.05/204.44 (step @p233 :rule reordering :premises (@p232) :args ((or @t229 @t184 @t232 @t234 (not @t235)))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p234 :rule trust :premises () :args ((= @t35 (forall (@list @t236 @t1) (or (not (_ @t179 @t236 @t1)) (_ @t154 @t236 @t1)))))) % 204.05/204.44 (step @p235 :rule eq_resolve :premises (@p13 @p234)) % 204.05/204.44 (step @p236 :rule instantiate :premises (@p235) :args ((@list @t183 @t168))) % 204.05/204.44 (step @p237 :rule cnf_or_pos :args (@t239)) % 204.05/204.44 (step @p238 :rule reordering :premises (@p237) :args ((or @t238 @t237 (not @t239)))) % 204.05/204.44 (step @p239 :rule instantiate :premises (@p127) :args ((@list @t167 @t183))) % 204.05/204.44 (step @p240 :rule cnf_or_pos :args (@t241)) % 204.05/204.44 (step @p241 :rule reordering :premises (@p240) :args ((or @t240 @t233 (not @t241)))) % 204.05/204.44 (step @p242 :rule chain_m_resolution :premises (@p241 @p239 @p238 @p236 @p233 @p231 @p230 @p169 @p147 @p145 @p142 @p140) :args (@t187 (@list false false false true false false true false false true false) (@list @t241 @t237 @t239 @t233 @t235 @t228 @t232 @t190 @t191 @t184 @t188))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p243 :rule trust :premises () :args ((= (forall @t158 @t244) (forall (@list @t242 @t243) (or (not (_ @t148 @t243 @t242)) (_ @t154 @t243 (_ @t153 @t242))))))) % 204.05/204.44 (step @p244 :rule aci_norm :args ((= (or false @t89 @t155) @t244))) % 204.05/204.44 (step @p245 :rule refl :args (@t155)) % 204.05/204.44 (step @p246 :rule refl :args (@t89)) % 204.05/204.44 (step @p247 :rule nary_cong :premises (@p112 @p246 @p245) :args (@t245)) % 204.05/204.44 (step @p248 :rule trans :premises (@p247 @p244)) % 204.05/204.44 (step @p249 :rule cong :premises (@p248) :args ((forall @t158 @t245))) % 204.05/204.44 (step @p250 :rule quant-var-elim-eq :args ((= (forall @t56 @t246) @t245))) % 204.05/204.44 (step @p251 :rule aci_norm :args ((= @t123 @t246))) % 204.05/204.44 (step @p252 :rule cong :premises (@p251) :args (@t247)) % 204.05/204.44 (step @p253 :rule trans :premises (@p252 @p250)) % 204.05/204.44 (step @p254 :rule cong :premises (@p253) :args (@t248)) % 204.05/204.44 (step @p255 :rule quant-merge-prenex :args ((= @t248 @t249))) % 204.05/204.44 (step @p256 :rule symm :premises (@p255)) % 204.05/204.44 (step @p257 :rule quant_var_reordering :args ((= @t124 @t249))) % 204.05/204.44 (step @p258 :rule trans :premises (@p257 @p256 @p254)) % 204.05/204.44 (step @p259 :rule trans :premises (@p258 @p249)) % 204.05/204.44 (step @p260 :rule trans :premises (@p259 @p243)) % 204.05/204.44 (step @p261 :rule eq_resolve :premises (@p91 @p260)) % 204.05/204.44 (step @p262 :rule instantiate :premises (@p261) :args ((@list @t167 @t166))) % 204.05/204.44 (step @p263 :rule cnf_or_pos :args (@t251)) % 204.05/204.44 (step @p264 :rule reordering :premises (@p263) :args ((or @t209 @t250 (not @t251)))) % 204.05/204.44 (step @p265 :rule chain_m_resolution :premises (@p264 @p160 @p262) :args (@t250 @t231 (@list @t196 @t251))) % 204.05/204.44 (step @p266 :rule cnf_or_pos :args (@t255)) % 204.05/204.44 (step @p267 :rule reordering :premises (@p266) :args ((or @t254 @t186 @t253 (not @t255)))) % 204.05/204.44 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p242 @p137) :args (@t253 @t256 (@list @t250 @t186 @t255))) % 204.05/204.44 (step @p269 :rule cnf_or_pos :args (@t258)) % 204.05/204.44 (step @p270 :rule reordering :premises (@p269) :args ((or @t252 @t257 (not @t258)))) % 204.05/204.44 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p134) :args (@t257 @t259 (@list @t252 @t258))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p272 :rule trust :premises () :args ((= @t45 (forall (@list @t260 @t1) (or (not (_ @t154 @t260 @t1)) (tptp.part_of (_ @t171 @t1 @t260) @t1) (_ @t179 @t260 @t1)))))) % 204.05/204.44 (step @p273 :rule eq_resolve :premises (@p16 @p272)) % 204.05/204.44 (step @p274 :rule instantiate :premises (@p273) :args (@t180)) % 204.05/204.44 (step @p275 :rule cnf_or_pos :args (@t262)) % 204.05/204.44 (step @p276 :rule reordering :premises (@p275) :args ((or @t254 @t186 @t261 (not @t262)))) % 204.05/204.44 (step @p277 :rule chain_m_resolution :premises (@p276 @p265 @p242 @p274) :args (@t261 @t256 (@list @t250 @t186 @t262))) % 204.05/204.44 (step @p278 :rule cnf_or_pos :args (@t266)) % 204.05/204.44 (step @p279 :rule reordering :premises (@p278) :args ((or @t265 @t264 @t263 (not @t266)))) % 204.05/204.44 (step @p280 :rule chain_m_resolution :premises (@p279 @p277 @p271 @p131) :args (@t263 (@list false false false) (@list @t261 @t257 @t266))) % 204.05/204.44 (step @p281 :rule cnf_or_pos :args (@t269)) % 204.05/204.44 (step @p282 :rule reordering :premises (@p281) :args ((or @t268 @t267 (not @t269)))) % 204.05/204.44 (step @p283 :rule chain_m_resolution :premises (@p282 @p280 @p128) :args (@t267 @t231 (@list @t263 @t269))) % 204.05/204.44 (step @p284 :rule instantiate :premises (@p168) :args ((@list @t174))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p285 :rule trust :premises () :args ((= @t46 (forall (@list @t270 @t1) (or (not (_ @t154 @t270 @t1)) (_ @t154 @t270 (_ @t169 @t1 @t270)) (_ @t179 @t270 @t1)))))) % 204.05/204.44 (step @p286 :rule eq_resolve :premises (@p17 @p285)) % 204.05/204.44 (step @p287 :rule instantiate :premises (@p286) :args (@t180)) % 204.05/204.44 (step @p288 :rule cnf_or_pos :args (@t272)) % 204.05/204.44 (step @p289 :rule reordering :premises (@p288) :args ((or @t254 @t186 @t271 (not @t272)))) % 204.05/204.44 (step @p290 :rule chain_m_resolution :premises (@p289 @p265 @p242 @p287) :args (@t271 @t256 (@list @t250 @t186 @t272))) % 204.05/204.44 ; trust TRUST PREPROCESS_SORT_INFER % 204.05/204.44 (step @p291 :rule trust :premises () :args ((= @t13 (forall @t11 (or (not (_ @t154 @t176 @t1)) @t6))))) % 204.05/204.44 (step @p292 :rule eq_resolve :premises (@p3 @p291)) % 204.05/204.44 (step @p293 :rule instantiate :premises (@p292) :args (@t177)) % 204.05/204.44 (step @p294 :rule cnf_or_pos :args (@t275)) % 204.05/204.44 (step @p295 :rule reordering :premises (@p294) :args ((or @t252 @t274 (not @t275)))) % 204.05/204.44 (step @p296 :rule chain_m_resolution :premises (@p295 @p268 @p293) :args (@t274 @t259 (@list @t252 @t275))) % 204.05/204.44 (assume-push @p343 @t276) % 204.05/204.44 (assume-push @p344 @t271) % 204.05/204.44 (assume-push @p345 @t271) % 204.05/204.44 (assume-push @p346 @t276) % 204.05/204.44 (step @p301 :rule true_intro :premises (@p344)) % 204.05/204.44 (step @p302 :rule refl :args (@t170)) % 204.05/204.44 (step @p303 :rule symm :premises (@p343)) % 204.05/204.44 (step @p304 :rule cong :premises (@p303 @p302) :args (@t273)) % 204.05/204.44 (step @p305 :rule trans :premises (@p304 @p301)) % 204.05/204.44 (step @p306 :rule true_elim :premises (@p305)) % 204.05/204.44 (step-pop @p347 :rule scope :premises (@p306)) % 204.05/204.44 (step-pop @p348 :rule scope :premises (@p347)) % 204.05/204.44 (step @p307 :rule process_scope :premises (@p348) :args (@t273)) % 204.05/204.44 (step @p310 :rule and_intro :premises (@p344 @p343)) % 204.05/204.44 (step @p311 :rule modus_ponens :premises (@p310 @p307)) % 204.05/204.44 (step-pop @p349 :rule scope :premises (@p311)) % 204.05/204.44 (step-pop @p350 :rule scope :premises (@p349)) % 204.05/204.44 (step @p312 :rule process_scope :premises (@p350) :args (@t273)) % 204.05/204.44 (step @p315 :rule implies_elim :premises (@p312)) % 204.05/204.44 (step @p316 :rule cnf_and_neg :args (@t277)) % 204.05/204.44 (step @p317 :rule resolution :premises (@p316 @p315) :args (true @t277)) % 204.05/204.44 (step @p318 :rule reordering :premises (@p317) :args ((or @t273 @t278 (not @t271)))) % 204.05/204.44 (step @p319 :rule chain_m_resolution :premises (@p318 @p296 @p290) :args (@t278 @t259 (@list @t273 @t271))) % 204.05/204.44 (step @p320 :rule cnf_or_pos :args (@t281)) % 204.05/204.44 (step @p321 :rule reordering :premises (@p320) :args ((or @t229 @t276 @t279 @t280 @t282))) % 204.05/204.44 (step @p322 :rule chain_m_resolution :premises (@p321 @p230 @p319 @p284 @p283) :args (@t282 (@list false true true false) (@list @t228 @t276 @t279 @t267))) % 204.05/204.44 (assume-push @p351 @t150) % 204.05/204.44 (step @p324 :rule instantiate :premises (@p104) :args ((@list @t166 @t167 @t174))) % 204.05/204.44 (step-pop @p352 :rule scope :premises (@p324)) % 204.05/204.44 (step @p325 :rule process_scope :premises (@p352) :args (@t281)) % 204.05/204.44 (step @p327 :rule implies_elim :premises (@p325)) % 204.05/204.44 (step @p328 false :rule chain_m_resolution :premises (@p327 @p322 @p104) :args (false @t259 (@list @t281 @t150))) % 204.05/204.44 ) % 204.05/204.44 % SZS output end Proof % 204.05/204.44 % cvc5 exiting %------------------------------------------------------------------------------