%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU323-10 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:51:23 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.61s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU323-10 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:56:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Unsatisfiable % 0.37/0.61 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.sK1_t51_tops_1_B $$unsorted) % 0.37/0.62 (declare-const tptp.sK3_rc1_tops_1_B (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.sK4_existence_m1_subset_1_B (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.one_sorted_str (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.sK5_existence_l1_pre_topc_A $$unsorted) % 0.37/0.62 (declare-const tptp.sK6_existence_l1_struct_0_A $$unsorted) % 0.37/0.62 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.true $$unsorted) % 0.37/0.62 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.sK2_t51_tops_1_A $$unsorted) % 0.37/0.62 (declare-const tptp.open_subset (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.top_str (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.topological_space (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.sK7_rc6_pre_topc_B (-> $$unsorted $$unsorted)) % 0.37/0.62 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "C" $$unsorted)) % 0.37/0.62 (define @t3 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t4 () (tptp.ifeq2 @t3 @t3 @t1 @t2)) % 0.37/0.62 (define @t5 () (@list @t3 @t1 @t2)) % 0.37/0.62 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.37/0.62 (define @t7 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 0.37/0.62 (define @t8 () (forall @t5 (= @t7 @t1))) % 0.37/0.62 (define @t9 () (tptp.the_carrier @t3)) % 0.37/0.62 (define @t10 () (tptp.subset_complement @t9 @t1)) % 0.37/0.62 (define @t11 () (tptp.top_str @t3)) % 0.37/0.62 (define @t12 () (tptp.topological_space @t3)) % 0.37/0.62 (define @t13 () (tptp.powerset @t9)) % 0.37/0.62 (define @t14 () (tptp.element @t1 @t13)) % 0.37/0.62 (define @t15 () (tptp.ifeq @t14 tptp.true (tptp.ifeq (tptp.closed_subset @t1 @t3) tptp.true (tptp.ifeq @t12 tptp.true (tptp.ifeq @t11 tptp.true (tptp.open_subset @t10 @t3) tptp.true) tptp.true) tptp.true) tptp.true)) % 0.37/0.62 (define @t16 () (@list @t1 @t3)) % 0.37/0.62 (define @t17 () (forall @t16 (= @t15 tptp.true))) % 0.37/0.62 (define @t18 () (tptp.sK7_rc6_pre_topc_B @t3)) % 0.37/0.62 (define @t19 () (@list @t3)) % 0.37/0.62 (define @t20 () (tptp.subset_complement @t3 @t1)) % 0.37/0.62 (define @t21 () (tptp.powerset @t3)) % 0.37/0.62 (define @t22 () (tptp.element @t1 @t21)) % 0.37/0.62 (define @t23 () (tptp.ifeq2 @t22 tptp.true (tptp.subset_complement @t3 @t20) @t1)) % 0.37/0.62 (define @t24 () (forall @t16 (= @t23 @t1))) % 0.37/0.62 (define @t25 () (tptp.ifeq @t22 tptp.true (tptp.element @t20 @t21) tptp.true)) % 0.37/0.62 (define @t26 () (forall @t16 (= @t25 tptp.true))) % 0.37/0.62 (define @t27 () (tptp.topstr_closure @t3 @t1)) % 0.37/0.62 (define @t28 () (tptp.ifeq @t14 tptp.true (tptp.ifeq @t11 tptp.true (tptp.element @t27 @t13) tptp.true) tptp.true)) % 0.37/0.62 (define @t29 () (forall @t16 (= @t28 tptp.true))) % 0.37/0.62 (define @t30 () (tptp.ifeq @t14 tptp.true (tptp.ifeq @t12 tptp.true (tptp.ifeq @t11 tptp.true (tptp.closed_subset @t27 @t3) tptp.true) tptp.true) tptp.true)) % 0.37/0.62 (define @t31 () (forall @t16 (= @t30 tptp.true))) % 0.37/0.62 (define @t32 () (tptp.interior @t3 @t1)) % 0.37/0.62 (define @t33 () (tptp.ifeq @t14 tptp.true (tptp.ifeq @t11 tptp.true (tptp.element @t32 @t13) tptp.true) tptp.true)) % 0.37/0.62 (define @t34 () (forall @t16 (= @t33 tptp.true))) % 0.37/0.62 (define @t35 () (tptp.sK3_rc1_tops_1_B @t3)) % 0.37/0.62 (define @t36 () (tptp.element @t3 (tptp.powerset @t1))) % 0.37/0.62 (define @t37 () (tptp.subset @t3 @t1)) % 0.37/0.62 (define @t38 () (@list @t3 @t1)) % 0.37/0.62 (define @t39 () (tptp.ifeq2 @t14 tptp.true (tptp.ifeq2 @t11 tptp.true (tptp.subset_complement @t9 (tptp.topstr_closure @t3 @t10)) @t32) @t32)) % 0.37/0.62 (define @t40 () (forall @t16 (= @t39 @t32))) % 0.37/0.62 (define @t41 () (tptp.top_str tptp.sK2_t51_tops_1_A)) % 0.37/0.62 (define @t42 () (tptp.topological_space tptp.sK2_t51_tops_1_A)) % 0.37/0.62 (define @t43 () (tptp.the_carrier tptp.sK2_t51_tops_1_A)) % 0.37/0.62 (define @t44 () (tptp.powerset @t43)) % 0.37/0.62 (define @t45 () (tptp.element tptp.sK1_t51_tops_1_B @t44)) % 0.37/0.62 (define @t46 () (tptp.interior tptp.sK2_t51_tops_1_A tptp.sK1_t51_tops_1_B)) % 0.37/0.62 (define @t47 () (tptp.open_subset @t46 tptp.sK2_t51_tops_1_A)) % 0.37/0.62 (define @t48 () (@list tptp.sK1_t51_tops_1_B tptp.sK2_t51_tops_1_A)) % 0.37/0.62 (define @t49 () (tptp.subset_complement @t43 tptp.sK1_t51_tops_1_B)) % 0.37/0.62 (define @t50 () (tptp.topstr_closure tptp.sK2_t51_tops_1_A @t49)) % 0.37/0.62 (define @t51 () (tptp.subset_complement @t43 @t50)) % 0.37/0.62 (define @t52 () (tptp.element @t46 @t44)) % 0.37/0.62 (define @t53 () (@list @t49 tptp.sK2_t51_tops_1_A)) % 0.37/0.62 (define @t54 () (tptp.subset_complement @t43 (tptp.subset_complement @t43 @t46))) % 0.37/0.62 (define @t55 () (tptp.open_subset @t51 tptp.sK2_t51_tops_1_A)) % 0.37/0.62 (define @t56 () (tptp.element @t49 @t44)) % 0.37/0.62 (define @t57 () (tptp.element @t50 @t44)) % 0.37/0.62 (define @t58 () (tptp.closed_subset @t50 tptp.sK2_t51_tops_1_A)) % 0.37/0.62 (define @t59 () (= tptp.true @t41)) % 0.37/0.62 (define @t60 () (= tptp.true @t42)) % 0.37/0.62 (define @t61 () (= tptp.true @t45)) % 0.37/0.62 (define @t62 () (tptp.ifeq @t41 tptp.true @t52 tptp.true)) % 0.37/0.62 (define @t63 () (tptp.ifeq @t45 tptp.true @t62 tptp.true)) % 0.37/0.62 (define @t64 () (= tptp.true @t63)) % 0.37/0.62 (define @t65 () (tptp.ifeq2 @t41 tptp.true @t51 @t46)) % 0.37/0.62 (define @t66 () (= @t46 (tptp.ifeq2 @t45 tptp.true @t65 @t46))) % 0.37/0.62 (define @t67 () (tptp.ifeq2 tptp.true tptp.true @t51 @t46)) % 0.37/0.62 (define @t68 () (= @t51 @t67)) % 0.37/0.62 (define @t69 () (= @t52 (tptp.ifeq tptp.true tptp.true @t52 tptp.true))) % 0.37/0.62 (define @t70 () (tptp.ifeq @t41 tptp.true @t55 tptp.true)) % 0.37/0.62 (define @t71 () (tptp.ifeq @t42 tptp.true @t70 tptp.true)) % 0.37/0.62 (define @t72 () (tptp.ifeq @t58 tptp.true @t71 tptp.true)) % 0.37/0.62 (define @t73 () (tptp.ifeq @t57 tptp.true @t72 tptp.true)) % 0.37/0.62 (define @t74 () (= tptp.true @t73)) % 0.37/0.62 (define @t75 () (= @t46 (tptp.ifeq2 @t52 tptp.true @t54 @t46))) % 0.37/0.62 (define @t76 () (tptp.ifeq @t45 tptp.true @t56 tptp.true)) % 0.37/0.62 (define @t77 () (= tptp.true @t76)) % 0.37/0.62 (define @t78 () (= tptp.true (tptp.ifeq @t56 tptp.true (tptp.ifeq @t41 tptp.true @t57 tptp.true) tptp.true))) % 0.37/0.62 (define @t79 () (tptp.ifeq @t41 tptp.true @t58 tptp.true)) % 0.37/0.62 (define @t80 () (= tptp.true (tptp.ifeq @t56 tptp.true (tptp.ifeq @t42 tptp.true @t79 tptp.true) tptp.true))) % 0.37/0.62 (define @t81 () (tptp.ifeq2 tptp.true tptp.true @t54 @t46)) % 0.37/0.62 (define @t82 () (= @t54 @t81)) % 0.37/0.62 (define @t83 () (= @t55 (tptp.ifeq tptp.true tptp.true @t55 tptp.true))) % 0.37/0.62 (define @t84 () (= @t56 (tptp.ifeq tptp.true tptp.true @t56 tptp.true))) % 0.37/0.62 (define @t85 () (tptp.ifeq tptp.true tptp.true @t57 tptp.true)) % 0.37/0.62 (define @t86 () (= @t57 @t85)) % 0.37/0.62 (define @t87 () (tptp.ifeq tptp.true tptp.true @t58 tptp.true)) % 0.37/0.62 (define @t88 () (= @t58 @t87)) % 0.37/0.62 (define @t89 () (tptp.open_subset @t54 tptp.sK2_t51_tops_1_A)) % 0.37/0.62 (define @t90 () (tptp.ifeq @t41 tptp.true @t89 tptp.true)) % 0.37/0.62 (define @t91 () (= tptp.true @t47)) % 0.37/0.62 (define @t92 () (and @t59 @t60 @t61 @t64 @t66 @t68 @t69 @t74 @t75 @t77 @t78 @t80 @t82 @t83 @t84 @t86 @t88)) % 0.37/0.62 (assume @p1 @t6) % 0.37/0.62 (assume @p2 @t8) % 0.37/0.62 (assume @p3 @t17) % 0.37/0.62 (assume @p4 (forall @t19 (= (tptp.ifeq @t12 tptp.true (tptp.ifeq @t11 tptp.true (tptp.element @t18 @t13) tptp.true) tptp.true) tptp.true))) % 0.37/0.62 (assume @p5 (forall @t19 (= (tptp.ifeq @t12 tptp.true (tptp.ifeq @t11 tptp.true (tptp.closed_subset @t18 @t3) tptp.true) tptp.true) tptp.true))) % 0.37/0.62 (assume @p6 @t24) % 0.37/0.62 (assume @p7 (forall @t19 (= (tptp.subset @t3 @t3) tptp.true))) % 0.37/0.62 (assume @p8 (= (tptp.one_sorted_str tptp.sK6_existence_l1_struct_0_A) tptp.true)) % 0.37/0.62 (assume @p9 @t26) % 0.37/0.62 (assume @p10 @t29) % 0.37/0.62 (assume @p11 @t31) % 0.37/0.62 (assume @p12 (forall @t16 (= (tptp.ifeq (tptp.open_subset @t1 @t3) tptp.true (tptp.ifeq @t14 tptp.true (tptp.ifeq @t12 tptp.true (tptp.ifeq @t11 tptp.true (tptp.closed_subset @t10 @t3) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true))) % 0.37/0.62 (assume @p13 (= (tptp.top_str tptp.sK5_existence_l1_pre_topc_A) tptp.true)) % 0.37/0.62 (assume @p14 (forall @t19 (= (tptp.element (tptp.sK4_existence_m1_subset_1_B @t3) @t3) tptp.true))) % 0.37/0.62 (assume @p15 @t34) % 0.37/0.62 (assume @p16 (forall @t19 (= (tptp.ifeq @t11 tptp.true (tptp.one_sorted_str @t3) tptp.true) tptp.true))) % 0.37/0.62 (assume @p17 (forall @t19 (= (tptp.ifeq @t12 tptp.true (tptp.ifeq @t11 tptp.true (tptp.open_subset @t35 @t3) tptp.true) tptp.true) tptp.true))) % 0.37/0.62 (assume @p18 (forall @t19 (= (tptp.ifeq @t12 tptp.true (tptp.ifeq @t11 tptp.true (tptp.element @t35 @t13) tptp.true) tptp.true) tptp.true))) % 0.37/0.62 (assume @p19 (forall @t38 (= (tptp.ifeq @t37 tptp.true @t36 tptp.true) tptp.true))) % 0.37/0.62 (assume @p20 (forall @t38 (= (tptp.ifeq @t36 tptp.true @t37 tptp.true) tptp.true))) % 0.37/0.62 (assume @p21 @t40) % 0.37/0.62 (assume @p22 (= @t41 tptp.true)) % 0.37/0.62 (assume @p23 (= @t42 tptp.true)) % 0.37/0.62 (assume @p24 (= @t45 tptp.true)) % 0.37/0.62 (assume @p25 (not (= @t47 tptp.true))) % 0.37/0.62 (step @p26 :rule symm :premises (@p22)) % 0.37/0.62 (step @p27 :rule symm :premises (@p23)) % 0.37/0.62 (step @p28 :rule symm :premises (@p24)) % 0.37/0.62 (step @p29 :rule symm :premises (@p25)) % 0.37/0.62 (step @p30 :rule eq-symm :args (@t33 tptp.true)) % 0.37/0.62 (step @p31 :rule cong :premises (@p30) :args (@t34)) % 0.37/0.62 (step @p32 :rule eq_resolve :premises (@p15 @p31)) % 0.37/0.62 (step @p33 :rule instantiate :premises (@p32) :args (@t48)) % 0.37/0.62 (step @p34 :rule eq-symm :args (@t39 @t32)) % 0.37/0.62 (step @p35 :rule cong :premises (@p34) :args (@t40)) % 0.37/0.62 (step @p36 :rule eq_resolve :premises (@p21 @p35)) % 0.37/0.62 (step @p37 :rule instantiate :premises (@p36) :args (@t48)) % 0.37/0.62 (step @p38 :rule eq-symm :args (@t4 @t1)) % 0.37/0.62 (step @p39 :rule cong :premises (@p38) :args (@t6)) % 0.37/0.62 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 0.37/0.62 (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.true @t51 @t46))) % 0.37/0.62 (step @p42 :rule eq-symm :args (@t7 @t1)) % 0.37/0.62 (step @p43 :rule cong :premises (@p42) :args (@t8)) % 0.37/0.62 (step @p44 :rule eq_resolve :premises (@p2 @p43)) % 0.37/0.62 (step @p45 :rule instantiate :premises (@p44) :args ((@list tptp.true @t52 tptp.true))) % 0.37/0.62 (step @p46 :rule eq-symm :args (@t15 tptp.true)) % 0.37/0.62 (step @p47 :rule cong :premises (@p46) :args (@t17)) % 0.37/0.62 (step @p48 :rule eq_resolve :premises (@p3 @p47)) % 0.37/0.62 (step @p49 :rule instantiate :premises (@p48) :args ((@list @t50 tptp.sK2_t51_tops_1_A))) % 0.37/0.62 (step @p50 :rule eq-symm :args (@t23 @t1)) % 0.37/0.62 (step @p51 :rule cong :premises (@p50) :args (@t24)) % 0.37/0.62 (step @p52 :rule eq_resolve :premises (@p6 @p51)) % 0.37/0.62 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t46 @t43))) % 0.37/0.62 (step @p54 :rule eq-symm :args (@t25 tptp.true)) % 0.37/0.62 (step @p55 :rule cong :premises (@p54) :args (@t26)) % 0.37/0.62 (step @p56 :rule eq_resolve :premises (@p9 @p55)) % 0.37/0.62 (step @p57 :rule instantiate :premises (@p56) :args ((@list tptp.sK1_t51_tops_1_B @t43))) % 0.37/0.62 (step @p58 :rule eq-symm :args (@t28 tptp.true)) % 0.37/0.62 (step @p59 :rule cong :premises (@p58) :args (@t29)) % 0.37/0.62 (step @p60 :rule eq_resolve :premises (@p10 @p59)) % 0.37/0.62 (step @p61 :rule instantiate :premises (@p60) :args (@t53)) % 0.37/0.62 (step @p62 :rule eq-symm :args (@t30 tptp.true)) % 0.37/0.62 (step @p63 :rule cong :premises (@p62) :args (@t31)) % 0.37/0.62 (step @p64 :rule eq_resolve :premises (@p11 @p63)) % 0.37/0.62 (step @p65 :rule instantiate :premises (@p64) :args (@t53)) % 0.37/0.62 (step @p66 :rule instantiate :premises (@p40) :args ((@list tptp.true @t54 @t46))) % 0.37/0.62 (step @p67 :rule instantiate :premises (@p44) :args ((@list tptp.true @t55 tptp.true))) % 0.37/0.62 (step @p68 :rule instantiate :premises (@p44) :args ((@list tptp.true @t56 tptp.true))) % 0.37/0.62 (step @p69 :rule instantiate :premises (@p44) :args ((@list tptp.true @t57 tptp.true))) % 0.37/0.62 (step @p70 :rule instantiate :premises (@p44) :args ((@list tptp.true @t58 tptp.true))) % 0.37/0.62 (assume-push @p187 @t59) % 0.37/0.62 (assume-push @p188 @t60) % 0.37/0.62 (assume-push @p189 @t61) % 0.37/0.62 (assume-push @p190 @t64) % 0.37/0.62 (assume-push @p191 @t66) % 0.37/0.62 (assume-push @p192 @t68) % 0.37/0.62 (assume-push @p193 @t69) % 0.37/0.62 (assume-push @p194 @t74) % 0.37/0.62 (assume-push @p195 @t75) % 0.37/0.62 (assume-push @p196 @t77) % 0.37/0.62 (assume-push @p197 @t78) % 0.37/0.62 (assume-push @p198 @t80) % 0.37/0.62 (assume-push @p199 @t82) % 0.37/0.62 (assume-push @p200 @t83) % 0.37/0.62 (assume-push @p201 @t84) % 0.37/0.62 (assume-push @p202 @t86) % 0.37/0.62 (assume-push @p203 @t88) % 0.37/0.62 (step @p88 :rule refl :args (tptp.sK2_t51_tops_1_A)) % 0.37/0.62 (step @p89 :rule symm :premises (@p37)) % 0.37/0.62 (step @p90 :rule refl :args (@t46)) % 0.37/0.62 (step @p91 :rule refl :args (@t65)) % 0.37/0.62 (step @p92 :rule refl :args (tptp.true)) % 0.37/0.62 (step @p93 :rule cong :premises (@p28 @p92 @p91 @p90) :args ((tptp.ifeq2 tptp.true tptp.true @t65 @t46))) % 0.37/0.62 (step @p94 :rule refl :args (@t51)) % 0.37/0.62 (step @p95 :rule cong :premises (@p26 @p92 @p94 @p90) :args (@t67)) % 0.37/0.62 (step @p96 :rule trans :premises (@p41 @p95)) % 0.37/0.62 (step @p97 :rule cong :premises (@p92 @p92 @p96 @p90) :args (@t67)) % 0.37/0.62 (step @p98 :rule trans :premises (@p41 @p97 @p93 @p89)) % 0.37/0.62 (step @p99 :rule cong :premises (@p98 @p88) :args (@t55)) % 0.37/0.62 (step @p100 :rule symm :premises (@p67)) % 0.37/0.62 (step @p101 :rule symm :premises (@p98)) % 0.37/0.62 (step @p102 :rule symm :premises (@p53)) % 0.37/0.62 (step @p103 :rule refl :args (@t54)) % 0.37/0.62 (step @p104 :rule symm :premises (@p45)) % 0.37/0.62 (step @p105 :rule refl :args (@t52)) % 0.37/0.62 (step @p106 :rule cong :premises (@p22 @p92 @p105 @p92) :args (@t62)) % 0.37/0.62 (step @p107 :rule trans :premises (@p106 @p104)) % 0.37/0.62 (step @p108 :rule cong :premises (@p92 @p92 @p107 @p92) :args ((tptp.ifeq tptp.true tptp.true @t62 tptp.true))) % 0.37/0.62 (step @p109 :rule refl :args (@t62)) % 0.37/0.62 (step @p110 :rule cong :premises (@p24 @p92 @p109 @p92) :args (@t63)) % 0.37/0.62 (step @p111 :rule trans :premises (@p24 @p33 @p110 @p108 @p104)) % 0.37/0.62 (step @p112 :rule trans :premises (@p28 @p111)) % 0.37/0.62 (step @p113 :rule cong :premises (@p112 @p92 @p103 @p90) :args (@t81)) % 0.37/0.62 (step @p114 :rule trans :premises (@p66 @p113 @p102)) % 0.37/0.62 (step @p115 :rule trans :premises (@p114 @p101)) % 0.37/0.62 (step @p116 :rule cong :premises (@p115 @p88) :args (@t89)) % 0.37/0.62 (step @p117 :rule cong :premises (@p92 @p92 @p116 @p92) :args ((tptp.ifeq tptp.true tptp.true @t89 tptp.true))) % 0.37/0.62 (step @p118 :rule symm :premises (@p116)) % 0.37/0.62 (step @p119 :rule refl :args (@t55)) % 0.37/0.62 (step @p120 :rule cong :premises (@p22 @p92 @p119 @p92) :args (@t70)) % 0.37/0.62 (step @p121 :rule trans :premises (@p120 @p100 @p118)) % 0.37/0.62 (step @p122 :rule symm :premises (@p120)) % 0.37/0.62 (step @p123 :rule refl :args (@t89)) % 0.37/0.62 (step @p124 :rule cong :premises (@p22 @p92 @p123 @p92) :args (@t90)) % 0.37/0.62 (step @p125 :rule trans :premises (@p124 @p117 @p122)) % 0.37/0.62 (step @p126 :rule trans :premises (@p125 @p121)) % 0.37/0.62 (step @p127 :rule cong :premises (@p92 @p92 @p126 @p92) :args ((tptp.ifeq tptp.true tptp.true @t90 tptp.true))) % 0.37/0.62 (step @p128 :rule symm :premises (@p125)) % 0.37/0.62 (step @p129 :rule cong :premises (@p92 @p92 @p128 @p92) :args ((tptp.ifeq tptp.true tptp.true @t70 tptp.true))) % 0.37/0.62 (step @p130 :rule refl :args (@t70)) % 0.37/0.62 (step @p131 :rule cong :premises (@p23 @p92 @p130 @p92) :args (@t71)) % 0.37/0.62 (step @p132 :rule trans :premises (@p131 @p129 @p127 @p117 @p122)) % 0.37/0.62 (step @p133 :rule trans :premises (@p132 @p121)) % 0.37/0.62 (step @p134 :rule symm :premises (@p65)) % 0.37/0.62 (step @p135 :rule refl :args (@t79)) % 0.37/0.62 (step @p136 :rule cong :premises (@p27 @p92 @p135 @p92) :args ((tptp.ifeq tptp.true tptp.true @t79 tptp.true))) % 0.37/0.62 (step @p137 :rule refl :args (@t58)) % 0.37/0.62 (step @p138 :rule cong :premises (@p26 @p92 @p137 @p92) :args (@t87)) % 0.37/0.62 (step @p139 :rule trans :premises (@p70 @p138)) % 0.37/0.62 (step @p140 :rule cong :premises (@p92 @p92 @p139 @p92) :args (@t87)) % 0.37/0.62 (step @p141 :rule symm :premises (@p138)) % 0.37/0.62 (step @p142 :rule trans :premises (@p141 @p140 @p136)) % 0.37/0.62 (step @p143 :rule trans :premises (@p139 @p142)) % 0.37/0.62 (step @p144 :rule symm :premises (@p68)) % 0.37/0.62 (step @p145 :rule refl :args (@t56)) % 0.37/0.62 (step @p146 :rule cong :premises (@p24 @p92 @p145 @p92) :args (@t76)) % 0.37/0.62 (step @p147 :rule trans :premises (@p22 @p57 @p146 @p144)) % 0.37/0.62 (step @p148 :rule trans :premises (@p26 @p147)) % 0.37/0.62 (step @p149 :rule cong :premises (@p148 @p92 @p143 @p92) :args (@t87)) % 0.37/0.62 (step @p150 :rule trans :premises (@p70 @p149 @p134 @p26)) % 0.37/0.62 (step @p151 :rule trans :premises (@p150 @p22)) % 0.37/0.62 (step @p152 :rule cong :premises (@p151 @p92 @p133 @p92) :args (@t72)) % 0.37/0.62 (step @p153 :rule trans :premises (@p152 @p117 @p122)) % 0.37/0.62 (step @p154 :rule trans :premises (@p153 @p121)) % 0.37/0.62 (step @p155 :rule symm :premises (@p61)) % 0.37/0.62 (step @p156 :rule refl :args (@t57)) % 0.37/0.62 (step @p157 :rule cong :premises (@p26 @p92 @p156 @p92) :args (@t85)) % 0.37/0.62 (step @p158 :rule trans :premises (@p69 @p157)) % 0.37/0.62 (step @p159 :rule cong :premises (@p148 @p92 @p158 @p92) :args (@t85)) % 0.37/0.62 (step @p160 :rule trans :premises (@p69 @p159 @p155 @p26)) % 0.37/0.62 (step @p161 :rule trans :premises (@p160 @p22)) % 0.37/0.62 (step @p162 :rule cong :premises (@p161 @p92 @p154 @p92) :args (@t73)) % 0.37/0.62 (step @p163 :rule trans :premises (@p49 @p162 @p117 @p100 @p99)) % 0.37/0.62 (step-pop @p204 :rule scope :premises (@p163)) % 0.37/0.62 (step-pop @p205 :rule scope :premises (@p204)) % 0.37/0.62 (step-pop @p206 :rule scope :premises (@p205)) % 0.37/0.62 (step-pop @p207 :rule scope :premises (@p206)) % 0.37/0.62 (step-pop @p208 :rule scope :premises (@p207)) % 0.37/0.62 (step-pop @p209 :rule scope :premises (@p208)) % 0.37/0.62 (step-pop @p210 :rule scope :premises (@p209)) % 0.37/0.62 (step-pop @p211 :rule scope :premises (@p210)) % 0.37/0.62 (step-pop @p212 :rule scope :premises (@p211)) % 0.37/0.62 (step-pop @p213 :rule scope :premises (@p212)) % 0.37/0.62 (step-pop @p214 :rule scope :premises (@p213)) % 0.37/0.62 (step-pop @p215 :rule scope :premises (@p214)) % 0.37/0.62 (step-pop @p216 :rule scope :premises (@p215)) % 0.37/0.62 (step-pop @p217 :rule scope :premises (@p216)) % 0.37/0.62 (step-pop @p218 :rule scope :premises (@p217)) % 0.37/0.62 (step-pop @p219 :rule scope :premises (@p218)) % 0.37/0.62 (step-pop @p220 :rule scope :premises (@p219)) % 0.37/0.62 (step @p164 :rule process_scope :premises (@p220) :args (@t91)) % 0.37/0.62 (step @p182 :rule implies_elim :premises (@p164)) % 0.37/0.62 (step @p183 :rule cnf_and_neg :args (@t92)) % 0.37/0.62 (step @p184 :rule resolution :premises (@p183 @p182) :args (true @t92)) % 0.37/0.62 (step @p185 :rule reordering :premises (@p184) :args ((or @t91 (not @t59) (not @t60) (not @t61) (not @t64) (not @t66) (not @t68) (not @t69) (not @t74) (not @t75) (not @t77) (not @t78) (not @t80) (not @t82) (not @t83) (not @t84) (not @t86) (not @t88)))) % 0.37/0.62 (step @p186 false :rule chain_m_resolution :premises (@p185 @p70 @p69 @p68 @p67 @p66 @p65 @p61 @p57 @p53 @p49 @p45 @p41 @p37 @p33 @p29 @p28 @p27 @p26) :args (false (@list false false false false false false false false false false false false false false true false false false) (@list @t88 @t86 @t84 @t83 @t82 @t80 @t78 @t77 @t75 @t74 @t69 @t68 @t66 @t64 @t91 @t61 @t60 @t59))) % 0.37/0.62 ) % 0.34/0.63 % SZS output end Proof % 0.34/0.63 % cvc5 exiting %------------------------------------------------------------------------------