%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU131+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:50:39 AM UTC 2026 % Result : Theorem 17.43s 17.64s % Output : Proof 17.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU131+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 : Tue Jun 2 16:31:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 17.43/17.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.43/17.64 --- Run --no-e-matching --full-saturate-quant at 6... % 17.43/17.64 % SZS status Theorem % 17.43/17.64 % SZS output start Proof % 17.43/17.64 ( % 17.43/17.64 (declare-sort $$unsorted 0) % 17.43/17.64 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 17.43/17.64 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 17.43/17.64 (declare-const tptp.empty_set $$unsorted) % 17.43/17.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 17.43/17.64 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 17.43/17.64 (declare-const tptp.empty (-> $$unsorted Bool)) % 17.43/17.64 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 17.43/17.64 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 17.43/17.64 (define @t1 () (@var "A" $$unsorted)) % 17.43/17.64 (define @t2 () (@var "B" $$unsorted)) % 17.43/17.64 (define @t3 () (not (tptp.in @t2 @t1))) % 17.43/17.64 (define @t4 () (tptp.in @t1 @t2)) % 17.43/17.64 (define @t5 () (@list @t1 @t2)) % 17.43/17.64 (define @t6 () (tptp.set_union2 @t2 @t1)) % 17.43/17.64 (define @t7 () (tptp.set_union2 @t1 @t2)) % 17.43/17.64 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 17.43/17.64 (define @t9 () (tptp.subset @t1 @t2)) % 17.43/17.64 (define @t10 () (= @t1 @t2)) % 17.43/17.64 (define @t11 () (@list @t2)) % 17.43/17.64 (define @t12 () (= @t1 tptp.empty_set)) % 17.43/17.64 (define @t13 () (@list @t1)) % 17.43/17.64 (define @t14 () (forall @t13 (= @t12 (forall @t11 @t3)))) % 17.43/17.64 (define @t15 () (@var "D" $$unsorted)) % 17.43/17.64 (define @t16 () (tptp.in @t15 @t2)) % 17.43/17.64 (define @t17 () (tptp.in @t15 @t1)) % 17.43/17.64 (define @t18 () (@var "C" $$unsorted)) % 17.43/17.64 (define @t19 () (tptp.in @t15 @t18)) % 17.43/17.64 (define @t20 () (@list @t15)) % 17.43/17.64 (define @t21 () (@list @t1 @t2 @t18)) % 17.43/17.64 (define @t22 () (tptp.in @t18 @t2)) % 17.43/17.64 (define @t23 () (tptp.in @t18 @t1)) % 17.43/17.64 (define @t24 () (@list @t18)) % 17.43/17.64 (define @t25 () (forall @t24 (=> @t23 @t22))) % 17.43/17.64 (define @t26 () (= @t9 @t25)) % 17.43/17.64 (define @t27 () (forall @t5 @t26)) % 17.43/17.64 (define @t28 () (tptp.set_difference @t1 @t2)) % 17.43/17.64 (define @t29 () (forall @t21 (= (= @t18 @t28) (forall @t20 (= @t19 (and @t17 (not @t16))))))) % 17.43/17.64 (define @t30 () (tptp.disjoint @t1 @t2)) % 17.43/17.64 (define @t31 () (forall @t5 (= @t30 (= @t8 tptp.empty_set)))) % 17.43/17.64 (define @t32 () (tptp.empty @t1)) % 17.43/17.64 (define @t33 () (not @t32)) % 17.43/17.64 (define @t34 () (= @t28 tptp.empty_set)) % 17.43/17.64 (define @t35 () (forall @t5 (= @t34 @t9))) % 17.43/17.64 (define @t36 () (not @t35)) % 17.43/17.64 (define @t37 () (tptp.set_intersection2 @t2 @t18)) % 17.43/17.64 (define @t38 () (tptp.subset @t1 @t18)) % 17.43/17.64 (define @t39 () (tptp.subset (tptp.set_intersection2 @t1 @t18) @t37)) % 17.43/17.64 (define @t40 () (forall @t21 (=> @t9 @t39))) % 17.43/17.64 (define @t41 () (tptp.set_intersection2 @t1 tptp.empty_set)) % 17.43/17.64 (define @t42 () (forall @t13 (= @t41 tptp.empty_set))) % 17.43/17.64 (define @t43 () (and @t23 @t22)) % 17.43/17.64 (define @t44 () (exists @t24 @t43)) % 17.43/17.64 (define @t45 () (and @t44 @t30)) % 17.43/17.64 (define @t46 () (not @t45)) % 17.43/17.64 (define @t47 () (forall @t24 (not @t43))) % 17.43/17.64 (define @t48 () (not @t30)) % 17.43/17.64 (define @t49 () (and @t48 @t47)) % 17.43/17.64 (define @t50 () (not @t49)) % 17.43/17.64 (define @t51 () (and @t50 @t46)) % 17.43/17.64 (define @t52 () (forall @t5 @t51)) % 17.43/17.64 (define @t53 () (tptp.in @t18 @t8)) % 17.43/17.64 (define @t54 () (tptp.empty @t2)) % 17.43/17.64 (define @t55 () (forall @t5 (= @t9 (= tptp.empty_set @t28)))) % 17.43/17.64 (define @t56 () (@quantifiers_skolemize @t55 1)) % 17.43/17.64 (define @t57 () (@quantifiers_skolemize @t55 0)) % 17.43/17.64 (define @t58 () (tptp.set_difference @t57 @t56)) % 17.43/17.64 (define @t59 () (forall @t11 (not (tptp.in @t2 @t58)))) % 17.43/17.64 (define @t60 () (= (= @t58 tptp.empty_set) @t59)) % 17.43/17.64 (define @t61 () (@list @t58)) % 17.43/17.64 (define @t62 () (= tptp.empty_set @t58)) % 17.43/17.64 (define @t63 () (= @t62 @t59)) % 17.43/17.64 (define @t64 () (@list false)) % 17.43/17.64 (define @t65 () (tptp.subset @t57 @t56)) % 17.43/17.64 (define @t66 () (= @t65 @t62)) % 17.43/17.64 (define @t67 () (@list @t57 @t56 @t58)) % 17.43/17.64 (define @t68 () (tptp.set_intersection2 @t56 @t58)) % 17.43/17.64 (define @t69 () (tptp.set_intersection2 @t57 @t58)) % 17.43/17.64 (define @t70 () (tptp.subset @t69 @t68)) % 17.43/17.64 (define @t71 () (not @t65)) % 17.43/17.64 (define @t72 () (or @t71 @t70)) % 17.43/17.64 (define @t73 () (not @t63)) % 17.43/17.64 (define @t74 () (not @t59)) % 17.43/17.64 (define @t75 () (tptp.disjoint @t56 @t58)) % 17.43/17.64 (define @t76 () (= @t75 (= @t68 tptp.empty_set))) % 17.43/17.64 (define @t77 () (@list @t56 @t58)) % 17.43/17.64 (define @t78 () (= tptp.empty_set @t68)) % 17.43/17.64 (define @t79 () (= @t75 @t78)) % 17.43/17.64 (define @t80 () (@list @t31)) % 17.43/17.64 (define @t81 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 17.43/17.64 (define @t82 () (@var "BOUND_VARIABLE_7735" $$unsorted)) % 17.43/17.64 (define @t83 () (not (tptp.in @t82 @t81))) % 17.43/17.64 (define @t84 () (@var "BOUND_VARIABLE_7719" $$unsorted)) % 17.43/17.64 (define @t85 () (not (tptp.in @t82 @t84))) % 17.43/17.64 (define @t86 () (not (tptp.disjoint @t84 @t81))) % 17.43/17.64 (define @t87 () (or @t85 @t83)) % 17.43/17.64 (define @t88 () (or @t87 @t86)) % 17.43/17.64 (define @t89 () (forall (@list @t84 @t81 @t82) @t88)) % 17.43/17.64 (define @t90 () (@list @t82)) % 17.43/17.64 (define @t91 () (forall @t90 @t88)) % 17.43/17.64 (define @t92 () (@list @t84 @t81)) % 17.43/17.64 (define @t93 () (forall @t90 @t87)) % 17.43/17.64 (define @t94 () (or @t93 @t86)) % 17.43/17.64 (define @t95 () (forall @t92 (or (forall @t24 (or (not (tptp.in @t18 @t84)) (not (tptp.in @t18 @t81)))) @t86))) % 17.43/17.64 (define @t96 () (@var "BOUND_VARIABLE_7706" $$unsorted)) % 17.43/17.64 (define @t97 () (@var "BOUND_VARIABLE_7704" $$unsorted)) % 17.43/17.64 (define @t98 () (forall (@list @t97 @t96) (or (tptp.disjoint @t97 @t96) (not (forall @t24 (or (not (tptp.in @t18 @t97)) (not (tptp.in @t18 @t96)))))))) % 17.43/17.64 (define @t99 () (forall @t24 (or (not @t23) (not @t22)))) % 17.43/17.64 (define @t100 () (or @t99 @t48)) % 17.43/17.64 (define @t101 () (forall @t5 @t100)) % 17.43/17.64 (define @t102 () (@list @t1 @t2)) % 17.43/17.64 (define @t103 () (not @t99)) % 17.43/17.64 (define @t104 () (or @t30 @t103)) % 17.43/17.64 (define @t105 () (forall @t5 @t104)) % 17.43/17.64 (define @t106 () (and @t105 @t101)) % 17.43/17.64 (define @t107 () (and (not (and @t48 @t99)) (not (and @t103 @t30)))) % 17.43/17.64 (define @t108 () (not @t47)) % 17.43/17.64 (define @t109 () (tptp.in @t18 @t56)) % 17.43/17.64 (define @t110 () (forall @t24 (or (not @t109) (not (tptp.in @t18 @t58))))) % 17.43/17.64 (define @t111 () (@quantifiers_skolemize @t110 0)) % 17.43/17.64 (define @t112 () (tptp.in @t111 @t56)) % 17.43/17.64 (define @t113 () (tptp.in @t111 @t58)) % 17.43/17.64 (define @t114 () (not @t113)) % 17.43/17.64 (define @t115 () (not @t112)) % 17.43/17.64 (define @t116 () (or @t115 @t114)) % 17.43/17.64 (define @t117 () (and (tptp.in @t111 @t57) @t115)) % 17.43/17.64 (define @t118 () (forall @t20 (= (tptp.in @t15 @t58) (and (tptp.in @t15 @t57) (not (tptp.in @t15 @t56)))))) % 17.43/17.64 (define @t119 () (= (= @t58 @t58) @t118)) % 17.43/17.64 (define @t120 () (= @t113 @t117)) % 17.43/17.64 (define @t121 () (not @t116)) % 17.43/17.64 (define @t122 () (not @t110)) % 17.43/17.64 (define @t123 () (or @t75 @t122)) % 17.43/17.64 (define @t124 () (@list false false)) % 17.43/17.64 (define @t125 () (@list @t58 @t57)) % 17.43/17.64 (define @t126 () (tptp.set_intersection2 @t57 tptp.empty_set)) % 17.43/17.64 (define @t127 () (tptp.set_intersection2 tptp.empty_set @t57)) % 17.43/17.64 (define @t128 () (= @t127 @t126)) % 17.43/17.64 (define @t129 () (= tptp.empty_set @t126)) % 17.43/17.64 (define @t130 () (tptp.set_intersection2 @t58 @t57)) % 17.43/17.64 (define @t131 () (= @t130 @t69)) % 17.43/17.64 (define @t132 () (tptp.subset @t130 @t127)) % 17.43/17.64 (define @t133 () (and @t128 @t129 @t78 @t131 @t70)) % 17.43/17.64 (define @t134 () (@quantifiers_skolemize @t59 0)) % 17.43/17.64 (define @t135 () (tptp.in @t134 @t58)) % 17.43/17.64 (define @t136 () (not @t135)) % 17.43/17.64 (define @t137 () (not @t136)) % 17.43/17.64 (define @t138 () (tptp.subset @t127 @t130)) % 17.43/17.64 (define @t139 () (tptp.subset tptp.empty_set @t58)) % 17.43/17.64 (define @t140 () (not @t139)) % 17.43/17.64 (define @t141 () (or @t140 @t138)) % 17.43/17.64 (define @t142 () (and @t138 @t132)) % 17.43/17.64 (define @t143 () (tptp.in @t134 @t57)) % 17.43/17.64 (define @t144 () (and @t143 (not (tptp.in @t134 @t56)))) % 17.43/17.64 (define @t145 () (= @t135 @t144)) % 17.43/17.64 (define @t146 () (= @t127 @t130)) % 17.43/17.64 (define @t147 () (= @t146 @t142)) % 17.43/17.64 (define @t148 () (= tptp.empty_set @t130)) % 17.43/17.64 (define @t149 () (and @t128 @t129 @t146)) % 17.43/17.64 (define @t150 () (not @t143)) % 17.43/17.64 (define @t151 () (tptp.disjoint @t58 @t57)) % 17.43/17.64 (define @t152 () (not @t151)) % 17.43/17.64 (define @t153 () (or @t152 @t136 @t150)) % 17.43/17.64 (define @t154 () (= @t151 (= @t130 tptp.empty_set))) % 17.43/17.64 (define @t155 () (= @t151 @t148)) % 17.43/17.64 (define @t156 () (forall @t24 (or (not (tptp.in @t18 @t57)) @t109))) % 17.43/17.64 (define @t157 () (@quantifiers_skolemize @t156 0)) % 17.43/17.64 (define @t158 () (@list @t157)) % 17.43/17.64 (define @t159 () (tptp.in @t157 @t58)) % 17.43/17.64 (define @t160 () (not @t159)) % 17.43/17.64 (define @t161 () (= @t65 @t156)) % 17.43/17.64 (define @t162 () (not @t156)) % 17.43/17.64 (define @t163 () (tptp.in @t157 @t56)) % 17.43/17.64 (define @t164 () (tptp.in @t157 @t57)) % 17.43/17.64 (define @t165 () (not @t164)) % 17.43/17.64 (define @t166 () (or @t165 @t163)) % 17.43/17.64 (define @t167 () (not @t166)) % 17.43/17.64 (define @t168 () (@list true)) % 17.43/17.64 (define @t169 () (not @t163)) % 17.43/17.64 (define @t170 () (@list @t166)) % 17.43/17.64 (define @t171 () (and @t164 @t169)) % 17.43/17.64 (define @t172 () (= @t159 @t171)) % 17.43/17.64 (assume @p1 (forall @t5 (=> @t4 @t3))) % 17.43/17.64 (assume @p2 (forall @t5 (= @t7 @t6))) % 17.43/17.64 (assume @p3 (forall @t5 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 17.43/17.64 (assume @p4 (forall @t5 (= @t10 (and @t9 (tptp.subset @t2 @t1))))) % 17.43/17.64 (assume @p5 @t14) % 17.43/17.64 (assume @p6 (forall @t21 (= (= @t18 @t7) (forall @t20 (= @t19 (or @t17 @t16)))))) % 17.43/17.64 (assume @p7 @t27) % 17.43/17.64 (assume @p8 (forall @t21 (= (= @t18 @t8) (forall @t20 (= @t19 (and @t17 @t16)))))) % 17.43/17.64 (assume @p9 @t29) % 17.43/17.64 (assume @p10 @t31) % 17.43/17.64 (assume @p11 true) % 17.43/17.64 (assume @p12 (tptp.empty tptp.empty_set)) % 17.43/17.64 (assume @p13 (forall @t5 (=> @t33 (not (tptp.empty @t7))))) % 17.43/17.64 (assume @p14 (forall @t5 (=> @t33 (not (tptp.empty @t6))))) % 17.43/17.64 (assume @p15 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 17.43/17.64 (assume @p16 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 17.43/17.64 (assume @p17 @t36) % 17.43/17.64 (assume @p18 (exists @t13 @t32)) % 17.43/17.64 (assume @p19 (exists @t13 @t33)) % 17.43/17.64 (assume @p20 (forall @t5 (tptp.subset @t1 @t1))) % 17.43/17.64 (assume @p21 (forall @t5 (=> @t30 (tptp.disjoint @t2 @t1)))) % 17.43/17.64 (assume @p22 (forall @t5 (=> @t9 (= @t7 @t2)))) % 17.43/17.64 (assume @p23 (forall @t5 (tptp.subset @t8 @t1))) % 17.43/17.64 (assume @p24 (forall @t21 (=> (and @t9 @t38) (tptp.subset @t1 @t37)))) % 17.43/17.64 (assume @p25 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 17.43/17.64 (assume @p26 (forall @t21 (=> (and @t9 (tptp.subset @t2 @t18)) @t38))) % 17.43/17.64 (assume @p27 @t40) % 17.43/17.64 (assume @p28 (forall @t5 (=> @t9 (= @t8 @t1)))) % 17.43/17.64 (assume @p29 @t42) % 17.43/17.64 (assume @p30 (forall @t5 (=> (forall @t24 (= @t23 @t22)) @t10))) % 17.43/17.64 (assume @p31 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 17.43/17.64 (assume @p32 (forall @t13 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 17.43/17.64 (assume @p33 @t52) % 17.43/17.64 (assume @p34 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t12))) % 17.43/17.64 (assume @p35 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 17.43/17.64 (assume @p36 (forall @t5 (and (not (and @t48 (forall @t24 (not @t53)))) (not (and (exists @t24 @t53) @t30))))) % 17.43/17.64 (assume @p37 (forall @t13 (=> @t32 @t12))) % 17.43/17.64 (assume @p38 (forall @t5 (not (and @t4 @t54)))) % 17.43/17.64 (assume @p39 (forall @t5 (tptp.subset @t1 @t7))) % 17.43/17.64 (assume @p40 (forall @t5 (not (and @t32 (not @t10) @t54)))) % 17.43/17.64 (assume @p41 (forall @t21 (=> (and @t9 (tptp.subset @t18 @t2)) (tptp.subset (tptp.set_union2 @t1 @t18) @t2)))) % 17.43/17.64 (step @p42 :rule refl :args (@t59)) % 17.43/17.64 (step @p43 :rule eq-symm :args (@t58 tptp.empty_set)) % 17.43/17.64 (step @p44 :rule cong :premises (@p43 @p42) :args (@t60)) % 17.43/17.64 (step @p45 :rule refl :args (@t14)) % 17.43/17.64 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t14 @t60))) % 17.43/17.64 (assume-push @p342 @t14) % 17.43/17.64 (step @p48 :rule instantiate :premises (@p5) :args (@t61)) % 17.43/17.64 (step-pop @p343 :rule scope :premises (@p48)) % 17.43/17.64 (step @p49 :rule process_scope :premises (@p343) :args (@t60)) % 17.43/17.64 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 17.43/17.64 (step @p52 :rule implies_elim :premises (@p51)) % 17.43/17.64 (step @p53 :rule chain_m_resolution :premises (@p52 @p5) :args (@t63 @t64 (@list @t14))) % 17.43/17.64 (step @p54 :rule eq-symm :args (@t28 tptp.empty_set)) % 17.43/17.64 (step @p55 :rule refl :args (@t9)) % 17.43/17.64 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t9 @t34))) % 17.43/17.64 (step @p57 :rule eq-symm :args (@t34 @t9)) % 17.43/17.64 (step @p58 :rule trans :premises (@p57 @p56)) % 17.43/17.64 (step @p59 :rule cong :premises (@p58) :args (@t35)) % 17.43/17.64 (step @p60 :rule cong :premises (@p59) :args (@t36)) % 17.43/17.64 (step @p61 :rule eq_resolve :premises (@p17 @p60)) % 17.43/17.64 (step @p62 :rule skolemize :premises (@p61)) % 17.43/17.64 (step @p63 :rule cnf_equiv_neg2 :args (@t66)) % 17.43/17.64 (step @p64 :rule bool-impl-elim :args (@t9 @t39)) % 17.43/17.64 (step @p65 :rule cong :premises (@p64) :args (@t40)) % 17.43/17.64 (step @p66 :rule eq_resolve :premises (@p27 @p65)) % 17.43/17.64 (step @p67 :rule instantiate :premises (@p66) :args (@t67)) % 17.43/17.64 (step @p68 :rule cnf_or_pos :args (@t72)) % 17.43/17.64 (step @p69 :rule reordering :premises (@p68) :args ((or @t71 @t70 (not @t72)))) % 17.43/17.64 (step @p70 :rule cnf_equiv_pos2 :args (@t63)) % 17.43/17.64 (step @p71 :rule reordering :premises (@p70) :args ((or @t62 @t74 @t73))) % 17.43/17.64 (step @p72 :rule instantiate :premises (@p3) :args ((@list tptp.empty_set @t57))) % 17.43/17.64 (step @p73 :rule eq-symm :args (@t41 tptp.empty_set)) % 17.43/17.64 (step 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@t155)))) % 17.43/17.64 (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p275 @p273 @p271 @p76 @p72 @p249 @p247 @p245 @p244 @p242 @p241 @p239 @p234 @p221 @p188 @p187 @p76 @p72 @p71 @p53 @p69 @p67 @p63 @p62) :args (@t71 (@list false true false false false false false false false false false false false false false false false false false true false false false true true) (@list @t155 @t151 @t153 @t148 @t129 @t128 @t143 @t146 @t147 @t144 @t145 @t142 @t138 @t135 @t132 @t131 @t78 @t129 @t128 @t59 @t63 @t70 @t72 @t62 @t66))) % 17.43/17.64 (step @p290 :rule cnf_equiv_neg1 :args (@t66)) % 17.43/17.64 (step @p291 :rule reordering :premises (@p290) :args ((or @t65 @t62 @t66))) % 17.43/17.64 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p62) :args (@t62 (@list true true) (@list @t65 @t66))) % 17.43/17.64 (step @p293 :rule cnf_equiv_pos1 :args (@t63)) % 17.43/17.64 (step @p294 :rule reordering :premises (@p293) :args ((or (not @t62) @t59 @t73))) % 17.43/17.64 (step @p295 :rule chain_m_resolution :premises (@p294 @p292 @p53) :args (@t59 @t124 (@list @t62 @t63))) % 17.43/17.64 (assume-push @p386 @t59) % 17.43/17.64 (step @p297 :rule instantiate :premises (@p386) :args (@t158)) % 17.43/17.64 (step-pop @p387 :rule scope :premises (@p297)) % 17.43/17.64 (step @p298 :rule process_scope :premises (@p387) :args (@t160)) % 17.43/17.64 (step @p300 :rule implies_elim :premises (@p298)) % 17.43/17.64 (step @p301 :rule chain_m_resolution :premises (@p300 @p295) :args (@t160 @t64 (@list @t59))) % 17.43/17.64 (step @p302 :rule bool-impl-elim :args (@t23 @t22)) % 17.43/17.64 (step @p303 :rule cong :premises (@p302) :args (@t25)) % 17.43/17.64 (step @p304 :rule cong :premises (@p55 @p303) :args (@t26)) % 17.43/17.64 (step @p305 :rule cong :premises (@p304) :args (@t27)) % 17.43/17.64 (step @p306 :rule eq_resolve :premises (@p7 @p305)) % 17.43/17.64 (step @p307 :rule instantiate :premises (@p306) :args ((@list @t57 @t56))) % 17.43/17.64 (step @p308 :rule cnf_equiv_pos2 :args (@t161)) % 17.43/17.64 (step @p309 :rule reordering :premises (@p308) :args ((or @t65 @t162 (not @t161)))) % 17.43/17.64 (step @p310 :rule chain_m_resolution :premises (@p309 @p289 @p307) :args (@t162 (@list true false) (@list @t65 @t161))) % 17.43/17.64 (step @p311 :rule refl :args (@t167)) % 17.43/17.64 (step @p312 :rule bool-double-not-elim :args (@t156)) % 17.43/17.64 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or (not @t162) @t167))) % 17.43/17.64 (assume-push @p388 @t162) % 17.43/17.64 (step @p315 :rule skolemize :premises (@p388)) % 17.43/17.64 (step-pop @p389 :rule scope :premises (@p315)) % 17.43/17.64 (step @p316 :rule process_scope :premises (@p389) :args (@t167)) % 17.43/17.64 (step @p318 :rule implies_elim :premises (@p316)) % 17.43/17.64 (step @p319 :rule eq_resolve :premises (@p318 @p313)) % 17.43/17.64 (step @p320 :rule chain_m_resolution :premises (@p319 @p310) :args (@t167 @t168 (@list @t156))) % 17.43/17.64 (step @p321 :rule cnf_or_neg :args (@t166 1)) % 17.43/17.64 (step @p322 :rule chain_m_resolution :premises (@p321 @p320) :args (@t169 @t168 @t170)) % 17.43/17.64 (step @p323 :rule bool-double-not-elim :args (@t164)) % 17.43/17.64 (step @p324 :rule refl :args (@t166)) % 17.43/17.64 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t166 (not @t165)))) % 17.43/17.64 (step @p326 :rule cnf_or_neg :args (@t166 0)) % 17.43/17.64 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 17.43/17.64 (step @p328 :rule reordering :premises (@p327) :args ((or @t164 @t166))) % 17.43/17.64 (step @p329 :rule chain_m_resolution :premises (@p328 @p320) :args (@t164 @t168 @t170)) % 17.43/17.64 (step @p330 :rule bool-double-not-elim :args (@t163)) % 17.43/17.64 (step @p331 :rule refl :args (@t165)) % 17.43/17.64 (step @p332 :rule refl :args (@t171)) % 17.43/17.64 (step @p333 :rule nary_cong :premises (@p332 @p331 @p330) :args ((or @t171 @t165 (not @t169)))) % 17.43/17.64 (step @p334 :rule cnf_and_neg :args (@t171)) % 17.43/17.64 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 17.43/17.64 (step @p336 :rule reordering :premises (@p335) :args ((or @t165 @t163 @t171))) % 17.43/17.64 (step @p337 :rule chain_m_resolution :premises (@p336 @p329 @p322) :args (@t171 (@list false true) (@list @t164 @t163))) % 17.43/17.64 (step @p338 :rule instantiate :premises (@p167) :args (@t158)) % 17.43/17.64 (step @p339 :rule cnf_equiv_pos2 :args (@t172)) % 17.43/17.64 (step @p340 :rule reordering :premises (@p339) :args ((or @t159 (not @t171) (not @t172)))) % 17.43/17.64 (step @p341 false :rule chain_m_resolution :premises (@p340 @p338 @p337 @p301) :args (false (@list false false true) (@list @t172 @t171 @t159))) % 17.43/17.64 ) % 17.43/17.64 % SZS output end Proof % 17.43/17.64 % cvc5 exiting %------------------------------------------------------------------------------