%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU138+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 : n011.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 08:50:40 AM UTC 2026 % Result : Theorem 33.97s 34.69s % Output : Proof 33.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU138+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n011.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:31:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.97/34.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.97/34.69 --- Run --no-e-matching --full-saturate-quant at 6... % 33.97/34.69 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.97/34.69 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.97/34.69 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.97/34.69 % SZS status Theorem % 33.97/34.69 % SZS output start Proof % 33.97/34.69 ( % 33.97/34.69 (declare-sort $$unsorted 0) % 33.97/34.69 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 33.97/34.69 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 33.97/34.69 (declare-const tptp.empty_set $$unsorted) % 33.97/34.69 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.97/34.69 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.97/34.69 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.97/34.69 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 33.97/34.69 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.97/34.69 (define @t1 () (@var "A" $$unsorted)) % 33.97/34.69 (define @t2 () (@var "B" $$unsorted)) % 33.97/34.69 (define @t3 () (not (tptp.in @t2 @t1))) % 33.97/34.69 (define @t4 () (tptp.in @t1 @t2)) % 33.97/34.69 (define @t5 () (@list @t1 @t2)) % 33.97/34.69 (define @t6 () (tptp.set_union2 @t2 @t1)) % 33.97/34.69 (define @t7 () (tptp.set_union2 @t1 @t2)) % 33.97/34.69 (define @t8 () (tptp.set_intersection2 @t1 @t2)) % 33.97/34.69 (define @t9 () (tptp.subset @t1 @t2)) % 33.97/34.69 (define @t10 () (= @t1 @t2)) % 33.97/34.69 (define @t11 () (forall @t5 (= @t10 (and @t9 (tptp.subset @t2 @t1))))) % 33.97/34.69 (define @t12 () (= @t1 tptp.empty_set)) % 33.97/34.69 (define @t13 () (@list @t1)) % 33.97/34.69 (define @t14 () (@var "D" $$unsorted)) % 33.97/34.69 (define @t15 () (tptp.in @t14 @t2)) % 33.97/34.69 (define @t16 () (tptp.in @t14 @t1)) % 33.97/34.69 (define @t17 () (@var "C" $$unsorted)) % 33.97/34.69 (define @t18 () (tptp.in @t14 @t17)) % 33.97/34.69 (define @t19 () (@list @t14)) % 33.97/34.69 (define @t20 () (@list @t1 @t2 @t17)) % 33.97/34.69 (define @t21 () (tptp.in @t17 @t2)) % 33.97/34.69 (define @t22 () (tptp.in @t17 @t1)) % 33.97/34.69 (define @t23 () (@list @t17)) % 33.97/34.69 (define @t24 () (forall @t23 (=> @t22 @t21))) % 33.97/34.69 (define @t25 () (= @t9 @t24)) % 33.97/34.69 (define @t26 () (forall @t5 @t25)) % 33.97/34.69 (define @t27 () (tptp.set_difference @t1 @t2)) % 33.97/34.69 (define @t28 () (forall @t20 (= (= @t17 @t27) (forall @t19 (= @t18 (and @t16 (not @t15))))))) % 33.97/34.69 (define @t29 () (tptp.disjoint @t1 @t2)) % 33.97/34.69 (define @t30 () (tptp.empty @t1)) % 33.97/34.69 (define @t31 () (not @t30)) % 33.97/34.69 (define @t32 () (= @t27 tptp.empty_set)) % 33.97/34.69 (define @t33 () (forall @t5 (= @t32 @t9))) % 33.97/34.69 (define @t34 () (tptp.set_intersection2 @t2 @t17)) % 33.97/34.69 (define @t35 () (tptp.subset @t1 @t17)) % 33.97/34.69 (define @t36 () (tptp.subset @t2 @t17)) % 33.97/34.69 (define @t37 () (and @t9 @t36)) % 33.97/34.69 (define @t38 () (forall @t20 (=> @t37 @t35))) % 33.97/34.69 (define @t39 () (tptp.subset (tptp.set_intersection2 @t1 @t17) @t34)) % 33.97/34.69 (define @t40 () (forall @t20 (=> @t9 @t39))) % 33.97/34.69 (define @t41 () (=> @t9 (= @t8 @t1))) % 33.97/34.69 (define @t42 () (forall @t5 @t41)) % 33.97/34.69 (define @t43 () (tptp.subset (tptp.set_difference @t1 @t17) (tptp.set_difference @t2 @t17))) % 33.97/34.69 (define @t44 () (forall @t20 (=> @t9 @t43))) % 33.97/34.69 (define @t45 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 33.97/34.69 (define @t46 () (forall @t5 (= @t45 @t7))) % 33.97/34.69 (define @t47 () (tptp.set_difference @t1 tptp.empty_set)) % 33.97/34.69 (define @t48 () (forall @t13 (= @t47 @t1))) % 33.97/34.69 (define @t49 () (and @t22 @t21)) % 33.97/34.69 (define @t50 () (not @t29)) % 33.97/34.69 (define @t51 () (tptp.set_difference @t7 @t2)) % 33.97/34.69 (define @t52 () (forall @t5 (= @t51 @t27))) % 33.97/34.69 (define @t53 () (= @t2 @t45)) % 33.97/34.69 (define @t54 () (forall @t5 (=> @t9 @t53))) % 33.97/34.69 (define @t55 () (tptp.set_difference @t1 @t27)) % 33.97/34.69 (define @t56 () (forall @t5 (= @t55 @t8))) % 33.97/34.69 (define @t57 () (not @t56)) % 33.97/34.69 (define @t58 () (tptp.in @t17 @t8)) % 33.97/34.69 (define @t59 () (tptp.empty @t2)) % 33.97/34.69 (define @t60 () (forall @t5 (= @t8 @t55))) % 33.97/34.69 (define @t61 () (@quantifiers_skolemize @t60 1)) % 33.97/34.69 (define @t62 () (@quantifiers_skolemize @t60 0)) % 33.97/34.69 (define @t63 () (@list @t62 @t61)) % 33.97/34.69 (define @t64 () (tptp.set_intersection2 @t62 @t61)) % 33.97/34.69 (define @t65 () (@list @t64 @t64)) % 33.97/34.69 (define @t66 () (tptp.subset @t62 @t62)) % 33.97/34.69 (define @t67 () (and @t66 @t66)) % 33.97/34.69 (define @t68 () (= (= @t62 @t62) @t67)) % 33.97/34.69 (define @t69 () (@list false)) % 33.97/34.69 (define @t70 () (tptp.subset @t64 @t64)) % 33.97/34.69 (define @t71 () (not @t66)) % 33.97/34.69 (define @t72 () (or @t71 @t70)) % 33.97/34.69 (define @t73 () (@list false false)) % 33.97/34.69 (define @t74 () (tptp.set_difference @t64 @t64)) % 33.97/34.69 (define @t75 () (= tptp.empty_set @t74)) % 33.97/34.69 (define @t76 () (= @t70 @t75)) % 33.97/34.69 (define @t77 () (not @t70)) % 33.97/34.69 (define @t78 () (= @t1 @t8)) % 33.97/34.69 (define @t79 () (tptp.set_difference @t62 @t61)) % 33.97/34.69 (define @t80 () (tptp.set_difference @t62 @t79)) % 33.97/34.69 (define @t81 () (tptp.set_intersection2 @t80 @t62)) % 33.97/34.69 (define @t82 () (= @t80 @t81)) % 33.97/34.69 (define @t83 () (tptp.subset @t80 @t62)) % 33.97/34.69 (define @t84 () (not @t83)) % 33.97/34.69 (define @t85 () (or @t84 @t82)) % 33.97/34.69 (define @t86 () (tptp.set_union2 @t64 @t74)) % 33.97/34.69 (define @t87 () (= @t64 @t86)) % 33.97/34.69 (define @t88 () (or @t77 @t87)) % 33.97/34.69 (define @t89 () (tptp.set_intersection2 @t61 @t62)) % 33.97/34.69 (define @t90 () (not @t36)) % 33.97/34.69 (define @t91 () (not @t9)) % 33.97/34.69 (define @t92 () (tptp.set_union2 @t61 @t79)) % 33.97/34.69 (define @t93 () (tptp.set_difference @t92 @t79)) % 33.97/34.69 (define @t94 () (@list @t61 @t79)) % 33.97/34.69 (define @t95 () (tptp.subset @t93 @t61)) % 33.97/34.69 (define @t96 () (@list @t61 @t62)) % 33.97/34.69 (define @t97 () (tptp.subset @t62 @t92)) % 33.97/34.69 (define @t98 () (tptp.subset @t80 @t93)) % 33.97/34.69 (define @t99 () (not @t97)) % 33.97/34.69 (define @t100 () (or @t99 @t98)) % 33.97/34.69 (define @t101 () (tptp.subset @t80 @t61)) % 33.97/34.69 (define @t102 () (not @t95)) % 33.97/34.69 (define @t103 () (not @t98)) % 33.97/34.69 (define @t104 () (or @t103 @t102 @t101)) % 33.97/34.69 (define @t105 () (tptp.subset @t81 @t89)) % 33.97/34.69 (define @t106 () (not @t101)) % 33.97/34.69 (define @t107 () (or @t106 @t105)) % 33.97/34.69 (define @t108 () (tptp.set_difference @t89 @t81)) % 33.97/34.69 (define @t109 () (tptp.set_union2 @t81 @t108)) % 33.97/34.69 (define @t110 () (= @t89 @t109)) % 33.97/34.69 (define @t111 () (not @t105)) % 33.97/34.69 (define @t112 () (or @t111 @t110)) % 33.97/34.69 (define @t113 () (@list @t64 @t80)) % 33.97/34.69 (define @t114 () (not (tptp.in @t17 @t64))) % 33.97/34.69 (define @t115 () (forall @t23 (or @t114 (tptp.in @t17 @t80)))) % 33.97/34.69 (define @t116 () (@quantifiers_skolemize @t115 0)) % 33.97/34.69 (define @t117 () (tptp.in @t116 @t64)) % 33.97/34.69 (define @t118 () (tptp.in @t116 @t80)) % 33.97/34.69 (define @t119 () (not @t117)) % 33.97/34.69 (define @t120 () (or @t119 @t118)) % 33.97/34.69 (define @t121 () (forall @t23 (or @t114 (tptp.in @t17 @t62)))) % 33.97/34.69 (define @t122 () (tptp.subset @t64 @t62)) % 33.97/34.69 (define @t123 () (= @t122 @t121)) % 33.97/34.69 (define @t124 () (@list @t116)) % 33.97/34.69 (define @t125 () (tptp.in @t116 @t62)) % 33.97/34.69 (define @t126 () (or @t119 @t125)) % 33.97/34.69 (define @t127 () (tptp.in @t14 @t79)) % 33.97/34.69 (define @t128 () (tptp.in @t14 @t62)) % 33.97/34.69 (define @t129 () (forall @t19 (= (tptp.in @t14 @t80) (and @t128 (not @t127))))) % 33.97/34.69 (define @t130 () (= (= @t80 @t80) @t129)) % 33.97/34.69 (define @t131 () (@list @t28)) % 33.97/34.69 (define @t132 () (tptp.in @t116 @t79)) % 33.97/34.69 (define @t133 () (not @t132)) % 33.97/34.69 (define @t134 () (and @t125 @t133)) % 33.97/34.69 (define @t135 () (= @t118 @t134)) % 33.97/34.69 (define @t136 () (not @t125)) % 33.97/34.69 (define @t137 () (forall @t19 (= @t127 (and @t128 (not (tptp.in @t14 @t61)))))) % 33.97/34.69 (define @t138 () (= (= @t79 @t79) @t137)) % 33.97/34.69 (define @t139 () (tptp.in @t116 @t61)) % 33.97/34.69 (define @t140 () (not @t139)) % 33.97/34.69 (define @t141 () (and @t125 @t140)) % 33.97/34.69 (define @t142 () (= @t132 @t141)) % 33.97/34.69 (define @t143 () (forall @t23 (or (not (tptp.in @t17 @t89)) (tptp.in @t17 @t61)))) % 33.97/34.69 (define @t144 () (tptp.subset @t89 @t61)) % 33.97/34.69 (define @t145 () (= @t144 @t143)) % 33.97/34.69 (define @t146 () (tptp.in @t116 @t89)) % 33.97/34.69 (define @t147 () (not @t146)) % 33.97/34.69 (define @t148 () (or @t147 @t139)) % 33.97/34.69 (define @t149 () (= @t64 @t89)) % 33.97/34.69 (define @t150 () (and @t149 @t117)) % 33.97/34.69 (define @t151 () (not @t120)) % 33.97/34.69 (define @t152 () (not @t115)) % 33.97/34.69 (define @t153 () (tptp.subset @t64 @t80)) % 33.97/34.69 (define @t154 () (= @t153 @t115)) % 33.97/34.69 (define @t155 () (= tptp.empty_set (tptp.set_difference @t64 @t80))) % 33.97/34.69 (define @t156 () (= @t153 @t155)) % 33.97/34.69 (define @t157 () (tptp.set_difference @t86 tptp.empty_set)) % 33.97/34.69 (define @t158 () (= @t86 @t157)) % 33.97/34.69 (define @t159 () (= @t80 (tptp.set_difference @t80 tptp.empty_set))) % 33.97/34.69 (define @t160 () (tptp.set_difference @t81 @t108)) % 33.97/34.69 (define @t161 () (= @t160 (tptp.set_difference @t109 @t108))) % 33.97/34.69 (define @t162 () (= @t64 @t80)) % 33.97/34.69 (define @t163 () (and @t149 @t75 @t82 @t87 @t158 @t155 @t110 @t159 @t161)) % 33.97/34.69 (assume @p1 (forall @t5 (=> @t4 @t3))) % 33.97/34.69 (assume @p2 (forall @t5 (= @t7 @t6))) % 33.97/34.69 (assume @p3 (forall @t5 (= @t8 (tptp.set_intersection2 @t2 @t1)))) % 33.97/34.69 (assume @p4 @t11) % 33.97/34.69 (assume @p5 (forall @t13 (= @t12 (forall (@list @t2) @t3)))) % 33.97/34.69 (assume @p6 (forall @t20 (= (= @t17 @t7) (forall @t19 (= @t18 (or @t16 @t15)))))) % 33.97/34.69 (assume @p7 @t26) % 33.97/34.69 (assume @p8 (forall @t20 (= (= @t17 @t8) (forall @t19 (= @t18 (and @t16 @t15)))))) % 33.97/34.69 (assume @p9 @t28) % 33.97/34.69 (assume @p10 (forall @t5 (= @t29 (= @t8 tptp.empty_set)))) % 33.97/34.69 (assume @p11 true) % 33.97/34.69 (assume @p12 (tptp.empty tptp.empty_set)) % 33.97/34.69 (assume @p13 (forall @t5 (=> @t31 (not (tptp.empty @t7))))) % 33.97/34.69 (assume @p14 (forall @t5 (=> @t31 (not (tptp.empty @t6))))) % 33.97/34.69 (assume @p15 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 33.97/34.69 (assume @p16 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.97/34.69 (assume @p17 @t33) % 33.97/34.69 (assume @p18 (exists @t13 @t30)) % 33.97/34.69 (assume @p19 (exists @t13 @t31)) % 33.97/34.69 (assume @p20 (forall @t5 (tptp.subset @t1 @t1))) % 33.97/34.69 (assume @p21 (forall @t5 (=> @t29 (tptp.disjoint @t2 @t1)))) % 33.97/34.69 (assume @p22 (forall @t5 (=> @t9 (= @t7 @t2)))) % 33.97/34.69 (assume @p23 (forall @t5 (tptp.subset @t8 @t1))) % 33.97/34.69 (assume @p24 (forall @t20 (=> (and @t9 @t35) (tptp.subset @t1 @t34)))) % 33.97/34.69 (assume @p25 (forall @t13 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 33.97/34.69 (assume @p26 @t38) % 33.97/34.69 (assume @p27 @t40) % 33.97/34.69 (assume @p28 @t42) % 33.97/34.69 (assume @p29 (forall @t13 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 33.97/34.69 (assume @p30 (forall @t5 (=> (forall @t23 (= @t22 @t21)) @t10))) % 33.97/34.69 (assume @p31 (forall @t13 (tptp.subset tptp.empty_set @t1))) % 33.97/34.69 (assume @p32 @t44) % 33.97/34.69 (assume @p33 (forall @t5 (tptp.subset @t27 @t1))) % 33.97/34.69 (assume @p34 @t46) % 33.97/34.69 (assume @p35 @t48) % 33.97/34.69 (assume @p36 (forall @t5 (and (not (and @t50 (forall @t23 (not @t49)))) (not (and (exists @t23 @t49) @t29))))) % 33.97/34.69 (assume @p37 (forall @t13 (=> (tptp.subset @t1 tptp.empty_set) @t12))) % 33.97/34.69 (assume @p38 @t52) % 33.97/34.69 (assume @p39 @t54) % 33.97/34.69 (assume @p40 @t57) % 33.97/34.69 (assume @p41 (forall @t13 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 33.97/34.69 (assume @p42 (forall @t5 (and (not (and @t50 (forall @t23 (not @t58)))) (not (and (exists @t23 @t58) @t29))))) % 33.97/34.69 (assume @p43 (forall @t13 (=> @t30 @t12))) % 33.97/34.69 (assume @p44 (forall @t5 (not (and @t4 @t59)))) % 33.97/34.69 (assume @p45 (forall @t5 (tptp.subset @t1 @t7))) % 33.97/34.69 (assume @p46 (forall @t5 (not (and @t30 (not @t10) @t59)))) % 33.97/34.69 (assume @p47 (forall @t20 (=> (and @t9 (tptp.subset @t17 @t2)) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 33.97/34.69 (step @p48 :rule eq-symm :args (@t55 @t8)) % 33.97/34.69 (step @p49 :rule cong :premises (@p48) :args (@t56)) % 33.97/34.69 (step @p50 :rule cong :premises (@p49) :args (@t57)) % 33.97/34.69 (step @p51 :rule eq_resolve :premises (@p40 @p50)) % 33.97/34.69 (step @p52 :rule skolemize :premises (@p51)) % 33.97/34.69 (step @p53 :rule instantiate :premises (@p3) :args (@t63)) % 33.97/34.69 (step @p54 :rule eq-symm :args (@t27 tptp.empty_set)) % 33.97/34.69 (step @p55 :rule refl :args (@t9)) % 33.97/34.69 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t9 @t32))) % 33.97/34.69 (step @p57 :rule eq-symm :args (@t32 @t9)) % 33.97/34.69 (step @p58 :rule trans :premises (@p57 @p56)) % 33.97/34.69 (step @p59 :rule cong :premises (@p58) :args (@t33)) % 33.97/34.69 (step @p60 :rule eq_resolve :premises (@p17 @p59)) % 33.97/34.69 (step @p61 :rule instantiate :premises (@p60) :args (@t65)) % 33.97/34.69 (step @p62 :rule bool-impl-elim :args (@t9 @t39)) % 33.97/34.69 (step @p63 :rule cong :premises (@p62) :args (@t40)) % 33.97/34.69 (step @p64 :rule eq_resolve :premises (@p27 @p63)) % 33.97/34.69 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t62 @t62 @t61))) % 33.97/34.69 (step @p66 :rule bool-eq-true :args (@t66)) % 33.97/34.69 (step @p67 :rule eq-symm :args (true @t66)) % 33.97/34.69 (step @p68 :rule trans :premises (@p67 @p66)) % 33.97/34.69 (step @p69 :rule aci_norm :args ((= @t67 @t66))) % 33.97/34.69 (step @p70 :rule eq-refl :args (@t62)) % 33.97/34.69 (step @p71 :rule cong :premises (@p70 @p69) :args (@t68)) % 33.97/34.69 (step @p72 :rule trans :premises (@p71 @p68)) % 33.97/34.69 (step @p73 :rule refl :args (@t11)) % 33.97/34.69 (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t11 @t68))) % 33.97/34.69 (assume-push @p341 @t11) % 33.97/34.69 (step @p76 :rule instantiate :premises (@p4) :args ((@list @t62 @t62))) % 33.97/34.69 (step-pop @p342 :rule scope :premises (@p76)) % 33.97/34.69 (step @p77 :rule process_scope :premises (@p342) :args (@t68)) % 33.97/34.69 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 33.97/34.69 (step @p80 :rule implies_elim :premises (@p79)) % 33.97/34.69 (step @p81 :rule chain_m_resolution :premises (@p80 @p4) :args (@t66 @t69 (@list @t11))) % 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(assume-push @p360 @t87) % 33.97/34.69 (assume-push @p361 @t158) % 33.97/34.69 (assume-push @p362 @t155) % 33.97/34.69 (assume-push @p363 @t110) % 33.97/34.69 (assume-push @p364 @t159) % 33.97/34.69 (assume-push @p365 @t161) % 33.97/34.69 (assume-push @p366 @t159) % 33.97/34.69 (assume-push @p367 @t82) % 33.97/34.69 (assume-push @p368 @t155) % 33.97/34.69 (assume-push @p369 @t149) % 33.97/34.69 (assume-push @p370 @t161) % 33.97/34.69 (assume-push @p371 @t110) % 33.97/34.69 (assume-push @p372 @t87) % 33.97/34.69 (assume-push @p373 @t75) % 33.97/34.69 (assume-push @p374 @t158) % 33.97/34.69 (step @p297 :rule symm :premises (@p163)) % 33.97/34.69 (step @p298 :rule symm :premises (@p362)) % 33.97/34.69 (step @p299 :rule symm :premises (@p99)) % 33.97/34.69 (step @p246 :rule symm :premises (@p53)) % 33.97/34.69 (step @p300 :rule cong :premises (@p246 @p299) :args (@t108)) % 33.97/34.69 (step @p301 :rule trans :premises (@p300 @p298)) % 33.97/34.69 (step @p302 :rule cong :premises (@p299 @p301) :args (@t160)) % 33.97/34.69 (step @p303 :rule symm :premises (@p164)) % 33.97/34.69 (step @p304 :rule symm :premises (@p300)) % 33.97/34.69 (step @p305 :rule symm :premises (@p87)) % 33.97/34.69 (step @p306 :rule trans :premises (@p305 @p362 @p304)) % 33.97/34.69 (step @p307 :rule trans :premises (@p53 @p162)) % 33.97/34.69 (step @p308 :rule symm :premises (@p106)) % 33.97/34.69 (step @p309 :rule trans :premises (@p308 @p307)) % 33.97/34.69 (step @p310 :rule cong :premises (@p309 @p306) :args ((tptp.set_difference @t86 @t74))) % 33.97/34.69 (step @p311 :rule refl :args (@t86)) % 33.97/34.69 (step @p312 :rule cong :premises (@p311 @p87) :args (@t157)) % 33.97/34.69 (step @p313 :rule trans :premises (@p106 @p110 @p312 @p310 @p303 @p302 @p297)) % 33.97/34.69 (step-pop @p375 :rule scope :premises (@p313)) % 33.97/34.69 (step-pop @p376 :rule scope :premises (@p375)) % 33.97/34.69 (step-pop @p377 :rule scope :premises (@p376)) % 33.97/34.69 (step-pop @p378 :rule scope :premises (@p377)) % 33.97/34.69 (step-pop @p379 :rule scope :premises (@p378)) % 33.97/34.69 (step-pop @p380 :rule scope :premises (@p379)) % 33.97/34.69 (step-pop @p381 :rule scope :premises (@p380)) % 33.97/34.69 (step-pop @p382 :rule scope :premises (@p381)) % 33.97/34.69 (step-pop @p383 :rule scope :premises (@p382)) % 33.97/34.69 (step @p314 :rule process_scope :premises (@p383) :args (@t162)) % 33.97/34.69 (step @p324 :rule and_intro :premises (@p163 @p99 @p362 @p53 @p164 @p162 @p106 @p87 @p110)) % 33.97/34.69 (step @p325 :rule modus_ponens :premises (@p324 @p314)) % 33.97/34.69 (step-pop @p384 :rule scope :premises (@p325)) % 33.97/34.69 (step-pop @p385 :rule scope :premises (@p384)) % 33.97/34.69 (step-pop @p386 :rule scope :premises (@p385)) % 33.97/34.69 (step-pop @p387 :rule scope :premises (@p386)) % 33.97/34.69 (step-pop @p388 :rule scope :premises (@p387)) % 33.97/34.69 (step-pop @p389 :rule scope :premises (@p388)) % 33.97/34.69 (step-pop @p390 :rule scope :premises (@p389)) % 33.97/34.69 (step-pop @p391 :rule scope :premises (@p390)) % 33.97/34.69 (step-pop @p392 :rule scope :premises (@p391)) % 33.97/34.69 (step @p326 :rule process_scope :premises (@p392) :args (@t162)) % 33.97/34.69 (step @p336 :rule implies_elim :premises (@p326)) % 33.97/34.69 (step @p337 :rule cnf_and_neg :args (@t163)) % 33.97/34.69 (step @p338 :rule resolution :premises (@p337 @p336) :args (true @t163)) % 33.97/34.69 (step @p339 :rule reordering :premises (@p338) :args ((or @t162 (not @t149) (not @t75) (not @t82) (not @t87) (not @t158) (not @t155) (not @t110) (not @t159) (not @t161)))) % 33.97/34.69 (step @p340 false :rule chain_m_resolution :premises (@p339 @p278 @p164 @p163 @p162 @p110 @p106 @p99 @p87 @p53 @p52) :args (false (@list false false false false false false false false false true) (@list @t155 @t161 @t159 @t110 @t158 @t87 @t82 @t75 @t149 @t162))) % 33.97/34.69 ) % 33.97/34.69 % SZS output end Proof % 33.97/34.69 % cvc5 exiting %------------------------------------------------------------------------------