%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU291+1 : 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 : n020.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 08:51:15 AM UTC 2026 % Result : Theorem 0.39s 0.65s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU291+1 : 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 % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:53:55 EDT 2026 % 0.21/0.36 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.65 % SZS status Theorem % 0.39/0.65 % SZS output start Proof % 0.39/0.65 ( % 0.39/0.65 (declare-sort $$unsorted 0) % 0.39/0.65 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.function (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.39/0.65 (declare-const tptp.empty_set $$unsorted) % 0.39/0.65 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.65 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.65 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.65 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.65 (define @t3 () (tptp.in @t1 @t2)) % 0.39/0.65 (define @t4 () (@list @t1 @t2)) % 0.39/0.65 (define @t5 () (tptp.function @t1)) % 0.39/0.65 (define @t6 () (tptp.empty @t1)) % 0.39/0.65 (define @t7 () (@list @t1)) % 0.39/0.65 (define @t8 () (tptp.relation @t1)) % 0.39/0.65 (define @t9 () (@var "C" $$unsorted)) % 0.39/0.65 (define @t10 () (tptp.relation @t9)) % 0.39/0.65 (define @t11 () (tptp.cartesian_product2 @t1 @t2)) % 0.39/0.65 (define @t12 () (tptp.element @t9 (tptp.powerset @t11))) % 0.39/0.65 (define @t13 () (@list @t1 @t2 @t9)) % 0.39/0.65 (define @t14 () (tptp.one_to_one @t1)) % 0.39/0.65 (define @t15 () (and @t8 @t5 @t14)) % 0.39/0.65 (define @t16 () (and @t8 @t6 @t5)) % 0.39/0.65 (define @t17 () (tptp.quasi_total @t9 @t1 @t2)) % 0.39/0.65 (define @t18 () (= @t17 (= @t9 tptp.empty_set))) % 0.39/0.65 (define @t19 () (= @t1 tptp.empty_set)) % 0.39/0.65 (define @t20 () (or @t19 @t18)) % 0.39/0.65 (define @t21 () (= @t2 tptp.empty_set)) % 0.39/0.65 (define @t22 () (tptp.relation_dom_as_subset @t1 @t2 @t9)) % 0.39/0.65 (define @t23 () (= @t17 (= @t1 @t22))) % 0.39/0.65 (define @t24 () (=> @t21 @t19)) % 0.39/0.65 (define @t25 () (and (=> @t24 @t23) (=> @t21 @t20))) % 0.39/0.65 (define @t26 () (tptp.relation_of2_as_subset @t9 @t1 @t2)) % 0.39/0.65 (define @t27 () (forall @t13 (=> @t26 @t25))) % 0.39/0.65 (define @t28 () (tptp.powerset @t1)) % 0.39/0.65 (define @t29 () (tptp.relation_of2 @t9 @t1 @t2)) % 0.39/0.65 (define @t30 () (@list @t9)) % 0.39/0.65 (define @t31 () (@list @t2)) % 0.39/0.65 (define @t32 () (tptp.relation tptp.empty_set)) % 0.39/0.65 (define @t33 () (tptp.empty tptp.empty_set)) % 0.39/0.65 (define @t34 () (tptp.empty @t2)) % 0.39/0.65 (define @t35 () (not @t34)) % 0.39/0.65 (define @t36 () (not @t6)) % 0.39/0.65 (define @t37 () (tptp.relation_dom @t1)) % 0.39/0.65 (define @t38 () (tptp.empty @t37)) % 0.39/0.65 (define @t39 () (and @t36 @t8)) % 0.39/0.65 (define @t40 () (tptp.function @t9)) % 0.39/0.65 (define @t41 () (tptp.element @t2 @t28)) % 0.39/0.65 (define @t42 () (tptp.relation_empty_yielding @t1)) % 0.39/0.65 (define @t43 () (= @t22 (tptp.relation_dom @t9))) % 0.39/0.65 (define @t44 () (forall @t13 (=> @t29 @t43))) % 0.39/0.65 (define @t45 () (@var "D" $$unsorted)) % 0.39/0.65 (define @t46 () (tptp.relation_of2_as_subset @t45 @t9 @t2)) % 0.39/0.65 (define @t47 () (tptp.subset @t1 @t2)) % 0.39/0.65 (define @t48 () (=> @t47 @t46)) % 0.39/0.65 (define @t49 () (tptp.relation_of2_as_subset @t45 @t9 @t1)) % 0.39/0.65 (define @t50 () (@list @t1 @t2 @t9 @t45)) % 0.39/0.65 (define @t51 () (forall @t50 (=> @t49 @t48))) % 0.39/0.65 (define @t52 () (tptp.element @t1 @t2)) % 0.39/0.65 (define @t53 () (tptp.subset @t1 tptp.empty_set)) % 0.39/0.65 (define @t54 () (forall @t7 (=> @t53 @t19))) % 0.39/0.65 (define @t55 () (tptp.element @t2 (tptp.powerset @t9))) % 0.39/0.65 (define @t56 () (tptp.function @t45)) % 0.39/0.65 (define @t57 () (and @t56 (tptp.quasi_total @t45 @t1 @t9) (tptp.relation_of2_as_subset @t45 @t1 @t9))) % 0.39/0.65 (define @t58 () (and @t21 (not @t19))) % 0.39/0.65 (define @t59 () (or @t58 @t57)) % 0.39/0.65 (define @t60 () (tptp.subset @t2 @t9)) % 0.39/0.65 (define @t61 () (=> @t60 @t59)) % 0.39/0.65 (define @t62 () (tptp.relation_of2_as_subset @t45 @t1 @t2)) % 0.39/0.65 (define @t63 () (tptp.quasi_total @t45 @t1 @t2)) % 0.39/0.65 (define @t64 () (and @t56 @t63 @t62)) % 0.39/0.65 (define @t65 () (forall @t50 (=> @t64 @t61))) % 0.39/0.65 (define @t66 () (not @t65)) % 0.39/0.65 (define @t67 () (not @t60)) % 0.39/0.65 (define @t68 () (not @t62)) % 0.39/0.65 (define @t69 () (not @t63)) % 0.39/0.65 (define @t70 () (not @t56)) % 0.39/0.65 (define @t71 () (or @t70 @t69 @t68 @t67 @t58 @t57)) % 0.39/0.65 (define @t72 () (forall @t50 @t71)) % 0.39/0.65 (define @t73 () (@quantifiers_skolemize @t72 1)) % 0.39/0.65 (define @t74 () (not (tptp.subset @t73 tptp.empty_set))) % 0.39/0.65 (define @t75 () (= @t73 tptp.empty_set)) % 0.39/0.65 (define @t76 () (or @t74 @t75)) % 0.39/0.65 (define @t77 () (forall @t7 (or (not @t53) @t19))) % 0.39/0.65 (define @t78 () (= tptp.empty_set @t73)) % 0.39/0.65 (define @t79 () (or @t74 @t78)) % 0.39/0.65 (define @t80 () (@list false)) % 0.39/0.65 (define @t81 () (or @t67 @t58 @t57)) % 0.39/0.65 (define @t82 () (or @t70 @t69 @t68)) % 0.39/0.65 (define @t83 () (@quantifiers_skolemize @t72 2)) % 0.39/0.65 (define @t84 () (@quantifiers_skolemize @t72 0)) % 0.39/0.65 (define @t85 () (@quantifiers_skolemize @t72 3)) % 0.39/0.65 (define @t86 () (tptp.relation_of2_as_subset @t85 @t84 @t83)) % 0.39/0.65 (define @t87 () (tptp.quasi_total @t85 @t84 @t83)) % 0.39/0.65 (define @t88 () (tptp.function @t85)) % 0.39/0.65 (define @t89 () (and @t88 @t87 @t86)) % 0.39/0.65 (define @t90 () (= tptp.empty_set @t84)) % 0.39/0.65 (define @t91 () (not @t90)) % 0.39/0.65 (define @t92 () (and @t78 @t91)) % 0.39/0.65 (define @t93 () (tptp.subset @t73 @t83)) % 0.39/0.65 (define @t94 () (not @t93)) % 0.39/0.65 (define @t95 () (tptp.relation_of2_as_subset @t85 @t84 @t73)) % 0.39/0.65 (define @t96 () (not @t95)) % 0.39/0.65 (define @t97 () (tptp.quasi_total @t85 @t84 @t73)) % 0.39/0.65 (define @t98 () (not @t97)) % 0.39/0.65 (define @t99 () (not @t88)) % 0.39/0.65 (define @t100 () (or @t99 @t98 @t96 @t94 @t92 @t89)) % 0.39/0.65 (define @t101 () (not @t100)) % 0.39/0.65 (define @t102 () (not @t72)) % 0.39/0.65 (define @t103 () (= @t84 tptp.empty_set)) % 0.39/0.65 (define @t104 () (not @t103)) % 0.39/0.65 (define @t105 () (and @t75 @t104)) % 0.39/0.65 (define @t106 () (or @t99 @t98 @t96 @t94 @t105 @t89)) % 0.39/0.65 (define @t107 () (not @t106)) % 0.39/0.65 (define @t108 () (@list true)) % 0.39/0.65 (define @t109 () (@list @t100)) % 0.39/0.65 (define @t110 () (not @t21)) % 0.39/0.65 (define @t111 () (or @t110 @t19 @t18)) % 0.39/0.65 (define @t112 () (not @t26)) % 0.39/0.65 (define @t113 () (= @t85 tptp.empty_set)) % 0.39/0.65 (define @t114 () (= @t87 @t113)) % 0.39/0.65 (define @t115 () (= @t83 tptp.empty_set)) % 0.39/0.65 (define @t116 () (not @t115)) % 0.39/0.65 (define @t117 () (or @t116 @t103 @t114)) % 0.39/0.65 (define @t118 () (tptp.relation_dom_as_subset @t84 @t83 @t85)) % 0.39/0.65 (define @t119 () (= @t84 @t118)) % 0.39/0.65 (define @t120 () (= @t87 @t119)) % 0.39/0.65 (define @t121 () (and @t115 @t104)) % 0.39/0.65 (define @t122 () (or @t121 @t120)) % 0.39/0.65 (define @t123 () (and @t122 @t117)) % 0.39/0.65 (define @t124 () (not @t86)) % 0.39/0.65 (define @t125 () (or @t124 @t123)) % 0.39/0.65 (define @t126 () (forall @t13 (or @t112 (and (or @t58 @t23) @t111)))) % 0.39/0.65 (define @t127 () (@list @t84 @t83 @t85)) % 0.39/0.65 (define @t128 () (= tptp.empty_set @t85)) % 0.39/0.65 (define @t129 () (= tptp.empty_set @t83)) % 0.39/0.65 (define @t130 () (and @t129 @t91)) % 0.39/0.65 (define @t131 () (or @t130 @t120)) % 0.39/0.65 (define @t132 () (and @t131 (or (not @t129) @t90 (= @t87 @t128)))) % 0.39/0.65 (define @t133 () (or @t124 @t132)) % 0.39/0.65 (define @t134 () (@list @t126)) % 0.39/0.65 (define @t135 () (not @t47)) % 0.39/0.65 (define @t136 () (not @t49)) % 0.39/0.65 (define @t137 () (or @t96 @t94 @t86)) % 0.39/0.65 (define @t138 () (@list false false)) % 0.39/0.65 (define @t139 () (tptp.relation_of2 @t85 @t84 @t83)) % 0.39/0.65 (define @t140 () (= @t86 @t139)) % 0.39/0.65 (define @t141 () (tptp.relation_dom @t85)) % 0.39/0.65 (define @t142 () (= @t118 @t141)) % 0.39/0.65 (define @t143 () (not @t139)) % 0.39/0.65 (define @t144 () (or @t143 @t142)) % 0.39/0.65 (define @t145 () (@list @t84 @t73 @t85)) % 0.39/0.65 (define @t146 () (tptp.relation_of2 @t85 @t84 @t73)) % 0.39/0.65 (define @t147 () (= @t95 @t146)) % 0.39/0.65 (define @t148 () (tptp.relation_dom_as_subset @t84 @t73 @t85)) % 0.39/0.65 (define @t149 () (= @t148 @t141)) % 0.39/0.65 (define @t150 () (not @t146)) % 0.39/0.65 (define @t151 () (or @t150 @t149)) % 0.39/0.65 (define @t152 () (= @t97 @t113)) % 0.39/0.65 (define @t153 () (not @t75)) % 0.39/0.65 (define @t154 () (or @t153 @t103 @t152)) % 0.39/0.65 (define @t155 () (= @t84 @t148)) % 0.39/0.65 (define @t156 () (= @t97 @t155)) % 0.39/0.65 (define @t157 () (or @t105 @t156)) % 0.39/0.65 (define @t158 () (and @t157 @t154)) % 0.39/0.65 (define @t159 () (or @t96 @t158)) % 0.39/0.65 (define @t160 () (not @t78)) % 0.39/0.65 (define @t161 () (or @t92 @t156)) % 0.39/0.65 (define @t162 () (and @t161 (or @t160 @t90 (= @t97 @t128)))) % 0.39/0.65 (define @t163 () (or @t96 @t162)) % 0.39/0.65 (define @t164 () (@list true false)) % 0.39/0.65 (define @t165 () (not @t87)) % 0.39/0.65 (define @t166 () (not @t120)) % 0.39/0.65 (define @t167 () (not @t130)) % 0.39/0.65 (define @t168 () (@list @t130)) % 0.39/0.65 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.39/0.65 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.39/0.65 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.39/0.65 (assume @p4 (forall @t13 (=> @t12 @t10))) % 0.39/0.65 (assume @p5 (forall @t7 (=> @t16 @t15))) % 0.39/0.65 (assume @p6 @t27) % 0.39/0.65 (assume @p7 true) % 0.39/0.65 (assume @p8 (forall @t13 (=> @t29 (tptp.element @t22 @t28)))) % 0.39/0.65 (assume @p9 (forall @t13 (=> @t26 @t12))) % 0.39/0.65 (assume @p10 (forall @t4 (exists @t30 @t29))) % 0.39/0.65 (assume @p11 (forall @t7 (exists @t31 (tptp.element @t2 @t1)))) % 0.39/0.65 (assume @p12 (forall @t4 (exists @t30 @t26))) % 0.39/0.65 (assume @p13 (and @t33 @t32 (tptp.relation_empty_yielding tptp.empty_set))) % 0.39/0.65 (assume @p14 (forall @t7 (not (tptp.empty @t28)))) % 0.39/0.65 (assume @p15 @t33) % 0.39/0.65 (assume @p16 (and @t33 @t32)) % 0.39/0.65 (assume @p17 (forall @t4 (=> (and @t36 @t35) (not (tptp.empty @t11))))) % 0.39/0.65 (assume @p18 (forall @t7 (=> @t39 (not @t38)))) % 0.39/0.65 (assume @p19 (forall @t7 (=> @t6 (and @t38 (tptp.relation @t37))))) % 0.39/0.65 (assume @p20 (exists @t7 (and @t8 @t5))) % 0.39/0.65 (assume @p21 (forall @t4 (exists @t30 (and @t29 @t10 @t40 @t17)))) % 0.39/0.65 (assume @p22 (exists @t7 (and @t8 @t5 @t14 @t6))) % 0.39/0.65 (assume @p23 (exists @t7 (and @t6 @t8))) % 0.39/0.65 (assume @p24 (forall @t7 (=> @t36 (exists @t31 (and @t41 @t35))))) % 0.39/0.65 (assume @p25 (exists @t7 @t6)) % 0.39/0.65 (assume @p26 (exists @t7 @t16)) % 0.39/0.65 (assume @p27 (forall @t4 (exists @t30 (and @t29 @t10 @t40)))) % 0.39/0.65 (assume @p28 (exists @t7 @t39)) % 0.39/0.65 (assume @p29 (forall @t7 (exists @t31 (and @t41 @t34)))) % 0.39/0.65 (assume @p30 (exists @t7 @t36)) % 0.39/0.65 (assume @p31 (exists @t7 @t15)) % 0.39/0.65 (assume @p32 (exists @t7 (and @t8 @t42))) % 0.39/0.65 (assume @p33 (exists @t7 (and @t8 @t42 @t5))) % 0.39/0.65 (assume @p34 @t44) % 0.39/0.65 (assume @p35 (forall @t13 (= @t26 @t29))) % 0.39/0.65 (assume @p36 (forall @t4 (tptp.subset @t1 @t1))) % 0.39/0.65 (assume @p37 @t51) % 0.39/0.65 (assume @p38 (forall @t4 (=> @t3 @t52))) % 0.39/0.65 (assume @p39 (forall @t4 (=> @t52 (or @t34 @t3)))) % 0.39/0.65 (assume @p40 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t47))) % 0.39/0.65 (assume @p41 @t54) % 0.39/0.65 (assume @p42 (forall @t13 (=> (and @t3 @t55) (tptp.element @t1 @t9)))) % 0.39/0.65 (assume @p43 (forall @t13 (not (and @t3 @t55 (tptp.empty @t9))))) % 0.39/0.65 (assume @p44 (forall @t7 (=> @t6 @t19))) % 0.39/0.65 (assume @p45 (forall @t4 (not (and @t3 @t34)))) % 0.39/0.65 (assume @p46 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t34)))) % 0.39/0.65 (assume @p47 @t66) % 0.39/0.65 (step @p48 :rule evaluate :args ((= true false))) % 0.39/0.65 (step @p49 :rule bool-impl-elim :args (@t53 @t19)) % 0.39/0.65 (step @p50 :rule cong :premises (@p49) :args (@t54)) % 0.39/0.65 (step @p51 :rule eq_resolve :premises (@p41 @p50)) % 0.39/0.65 (step @p52 :rule eq-symm :args (@t73 tptp.empty_set)) % 0.39/0.65 (step @p53 :rule refl :args (@t74)) % 0.39/0.65 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t76)) % 0.39/0.65 (step @p55 :rule refl :args (@t77)) % 0.39/0.65 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t77 @t76))) % 0.39/0.65 (assume-push @p272 @t77) % 0.39/0.65 (step @p58 :rule instantiate :premises (@p51) :args ((@list @t73))) % 0.39/0.65 (step-pop @p273 :rule scope :premises (@p58)) % 0.39/0.65 (step @p59 :rule process_scope :premises (@p273) :args (@t76)) % 0.39/0.65 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 0.39/0.65 (step @p62 :rule implies_elim :premises (@p61)) % 0.39/0.65 (step @p63 :rule chain_m_resolution :premises (@p62 @p51) :args (@t79 @t80 (@list @t77))) % 0.39/0.65 (step @p64 :rule aci_norm :args ((= (or @t82 @t81) @t71))) % 0.39/0.65 (step @p65 :rule aci_norm :args ((= (or @t67 @t59) @t81))) % 0.39/0.65 (step @p66 :rule bool-impl-elim :args (@t60 @t59)) % 0.39/0.65 (step @p67 :rule trans :premises (@p66 @p65)) % 0.39/0.65 (step @p68 :rule aci_norm :args ((= (or @t70 (or @t69 @t68)) @t82))) % 0.39/0.65 (step @p69 :rule bool-and-de-morgan :args (@t63 @t62 true)) % 0.39/0.65 (step @p70 :rule refl :args (@t70)) % 0.39/0.65 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t70 (not (and @t63 @t62))))) % 0.39/0.65 (step @p72 :rule bool-and-de-morgan :args (@t56 @t63 (and @t62))) % 0.39/0.65 (step @p73 :rule trans :premises (@p72 @p71)) % 0.39/0.65 (step @p74 :rule trans :premises (@p73 @p68)) % 0.39/0.65 (step @p75 :rule nary_cong :premises (@p74 @p67) :args ((or (not @t64) @t61))) % 0.39/0.65 (step @p76 :rule trans :premises (@p75 @p64)) % 0.39/0.65 (step @p77 :rule bool-impl-elim :args (@t64 @t61)) % 0.39/0.65 (step @p78 :rule trans :premises (@p77 @p76)) % 0.39/0.65 (step @p79 :rule cong :premises (@p78) :args (@t65)) % 0.39/0.65 (step @p80 :rule cong :premises (@p79) :args (@t66)) % 0.39/0.65 (step @p81 :rule eq_resolve :premises (@p47 @p80)) % 0.39/0.65 (step @p82 :rule refl :args (@t101)) % 0.39/0.65 (step @p83 :rule bool-double-not-elim :args (@t72)) % 0.39/0.65 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t102) @t101))) % 0.39/0.65 (step @p85 :rule refl :args (@t89)) % 0.39/0.65 (step @p86 :rule eq-symm :args (@t84 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0.39/0.65 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t112 @t25))) % 0.39/0.65 (step @p118 :rule bool-impl-elim :args (@t26 @t25)) % 0.39/0.65 (step @p119 :rule trans :premises (@p118 @p117)) % 0.39/0.65 (step @p120 :rule cong :premises (@p119) :args (@t27)) % 0.39/0.65 (step @p121 :rule eq_resolve :premises (@p6 @p120)) % 0.39/0.65 (step @p122 :rule eq-symm :args (@t85 tptp.empty_set)) % 0.39/0.65 (step @p123 :rule refl :args (@t87)) % 0.39/0.65 (step @p124 :rule cong :premises (@p123 @p122) :args (@t114)) % 0.39/0.65 (step @p125 :rule eq-symm :args (@t83 tptp.empty_set)) % 0.39/0.65 (step @p126 :rule cong :premises (@p125) :args (@t116)) % 0.39/0.65 (step @p127 :rule nary_cong :premises (@p126 @p86 @p124) :args (@t117)) % 0.39/0.65 (step @p128 :rule refl :args (@t120)) % 0.39/0.65 (step @p129 :rule nary_cong :premises (@p125 @p87) :args (@t121)) % 0.39/0.65 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t122)) % 0.39/0.65 (step @p131 :rule nary_cong 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0.39/0.65 (step @p210 :rule chain_m_resolution :premises (@p209 @p121) :args (@t163 @t80 @t134)) % 0.39/0.65 (step @p211 :rule cnf_or_pos :args (@t163)) % 0.39/0.65 (step @p212 :rule reordering :premises (@p211) :args ((or @t96 @t162 (not @t163)))) % 0.39/0.65 (step @p213 :rule chain_m_resolution :premises (@p212 @p165 @p210) :args (@t162 @t138 (@list @t95 @t163))) % 0.39/0.65 (step @p214 :rule cnf_and_pos :args (@t162 0)) % 0.39/0.65 (step @p215 :rule reordering :premises (@p214) :args ((or @t161 (not @t162)))) % 0.39/0.65 (step @p216 :rule chain_m_resolution :premises (@p215 @p213) :args (@t161 @t80 (@list @t162))) % 0.39/0.65 (step @p217 :rule cnf_or_pos :args (@t161)) % 0.39/0.65 (step @p218 :rule reordering :premises (@p217) :args ((or @t92 @t156 (not @t161)))) % 0.39/0.65 (step @p219 :rule chain_m_resolution :premises (@p218 @p106 @p216) :args (@t156 @t164 (@list @t92 @t161))) % 0.39/0.65 (step @p220 :rule bool-double-not-elim :args (@t97)) % 0.39/0.65 (step @p221 :rule nary_cong 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:args ((or @t100 (not @t99)))) % 0.39/0.65 (step @p234 :rule cnf_or_neg :args (@t100 0)) % 0.39/0.65 (step @p235 :rule eq_resolve :premises (@p234 @p233)) % 0.39/0.65 (step @p236 :rule reordering :premises (@p235) :args ((or @t88 @t100))) % 0.39/0.65 (step @p237 :rule chain_m_resolution :premises (@p236 @p104) :args (@t88 @t108 @t109)) % 0.39/0.65 (step @p238 :rule cnf_and_neg :args (@t89)) % 0.39/0.65 (step @p239 :rule reordering :premises (@p238) :args ((or @t99 @t89 @t165 @t124))) % 0.39/0.65 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p231 @p168) :args (@t165 (@list false true false) (@list @t88 @t89 @t86))) % 0.39/0.65 (step @p241 :rule cnf_equiv_pos2 :args (@t120)) % 0.39/0.65 (step @p242 :rule reordering :premises (@p241) :args ((or @t87 (not @t119) @t166))) % 0.39/0.65 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p229) :args (@t166 @t164 (@list @t87 @t119))) % 0.39/0.65 (step @p244 :rule cnf_or_pos :args (@t131)) % 0.39/0.65 (step @p245 :rule reordering :premises (@p244) :args ((or @t120 @t130 (not @t131)))) % 0.39/0.65 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p174) :args (@t130 @t164 (@list @t120 @t131))) % 0.39/0.65 (step @p247 :rule cnf_and_pos :args (@t130 1)) % 0.39/0.65 (step @p248 :rule reordering :premises (@p247) :args ((or @t91 @t167))) % 0.39/0.65 (step @p249 :rule chain_m_resolution :premises (@p248 @p246) :args (@t91 @t80 @t168)) % 0.39/0.65 (step @p250 :rule bool-double-not-elim :args (@t90)) % 0.39/0.65 (step @p251 :rule refl :args (@t160)) % 0.39/0.65 (step @p252 :rule refl :args (@t92)) % 0.39/0.65 (step @p253 :rule nary_cong :premises (@p252 @p251 @p250) :args ((or @t92 @t160 (not @t91)))) % 0.39/0.65 (step @p254 :rule cnf_and_neg :args (@t92)) % 0.39/0.65 (step @p255 :rule eq_resolve :premises (@p254 @p253)) % 0.39/0.65 (step @p256 :rule reordering :premises (@p255) :args ((or @t90 @t92 @t160))) % 0.39/0.65 (step @p257 :rule chain_m_resolution :premises (@p256 @p249 @p106) :args (@t160 (@list true true) (@list @t90 @t92))) % 0.39/0.65 (step @p258 :rule cnf_or_pos :args (@t79)) % 0.39/0.65 (step @p259 :rule reordering :premises (@p258) :args ((or @t78 @t74 (not @t79)))) % 0.39/0.65 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p63) :args (@t74 @t164 (@list @t78 @t79))) % 0.39/0.65 (step @p261 :rule false_intro :premises (@p260)) % 0.39/0.65 (step @p262 :rule cnf_and_pos :args (@t130 0)) % 0.39/0.65 (step @p263 :rule reordering :premises (@p262) :args ((or @t129 @t167))) % 0.39/0.65 (step @p264 :rule chain_m_resolution :premises (@p263 @p246) :args (@t129 @t80 @t168)) % 0.39/0.65 (step @p265 :rule symm :premises (@p264)) % 0.39/0.65 (step @p266 :rule refl :args (@t73)) % 0.39/0.65 (step @p267 :rule cong :premises (@p266 @p265) :args (@t93)) % 0.39/0.65 (step @p268 :rule true_intro :premises (@p159)) % 0.39/0.65 (step @p269 :rule symm :premises (@p268)) % 0.39/0.65 (step @p270 :rule trans :premises (@p269 @p267 @p261)) % 0.39/0.65 (step @p271 false :rule eq_resolve :premises (@p270 @p48)) % 0.39/0.65 ) % 0.39/0.65 % SZS output end Proof % 0.39/0.65 % cvc5 exiting %------------------------------------------------------------------------------