%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW955+1 : TPTP v9.2.1. Released v7.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 09:05:52 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW955+1 : TPTP v9.2.1. Released v7.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.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 : Tue Jun 2 22:50:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.pred_mess (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.tuple_A_in_2 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.tuple_A_out_3 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.tuple_B_in_1 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.tuple_B_out_2 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.pred_attacker (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.name_c $$unsorted) % 0.38/0.59 (declare-const tptp.pred_equal (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.tuple_false $$unsorted) % 0.38/0.59 (declare-const tptp.constr_CONST_0x30 $$unsorted) % 0.38/0.59 (declare-const tptp.constr_CONST_1 $$unsorted) % 0.38/0.59 (declare-const tptp.constr_CONST_3 $$unsorted) % 0.38/0.59 (declare-const tptp.constr_comm_enc (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.tuple_true $$unsorted) % 0.38/0.59 (declare-const tptp.constr_CONST_2 $$unsorted) % 0.38/0.59 (declare-const tptp.constr_CONST_4 $$unsorted) % 0.38/0.59 (declare-const tptp.tuple_A_out_4 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.constr_enc (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.name_new0x2Dname (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.tuple_B_in_3 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.name_Ka $$unsorted) % 0.38/0.59 (declare-const tptp.name_Kb $$unsorted) % 0.38/0.59 (declare-const tptp.name_m_9 $$unsorted) % 0.38/0.59 (declare-const tptp.constr_comm_dec (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.name_objective $$unsorted) % 0.38/0.59 (declare-const tptp.tuple_A_out_1 (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.constr_dec (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (define @t1 () (@var "VAR_M_7" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "VAR_K_8" $$unsorted)) % 0.38/0.59 (define @t3 () (tptp.constr_dec (tptp.constr_enc @t1 @t2) @t2)) % 0.38/0.59 (define @t4 () (forall (@list @t2 @t1) (= @t3 @t1))) % 0.38/0.59 (define @t5 () (@var "VAR_M_0X30" $$unsorted)) % 0.38/0.59 (define @t6 () (@var "VAR_K_0X30" $$unsorted)) % 0.38/0.59 (define @t7 () (tptp.constr_comm_dec (tptp.constr_comm_enc @t5 @t6) @t6)) % 0.38/0.59 (define @t8 () (forall (@list @t6 @t5) (= @t7 @t5))) % 0.38/0.59 (define @t9 () (@var "VAR_V_30X30" $$unsorted)) % 0.38/0.59 (define @t10 () (@var "VAR_V_29" $$unsorted)) % 0.38/0.59 (define @t11 () (@var "VAR_V_34" $$unsorted)) % 0.38/0.59 (define @t12 () (@var "VAR_V_33" $$unsorted)) % 0.38/0.59 (define @t13 () (tptp.pred_attacker (tptp.constr_dec @t12 @t11))) % 0.38/0.59 (define @t14 () (tptp.pred_attacker @t11)) % 0.38/0.59 (define @t15 () (tptp.pred_attacker @t12)) % 0.38/0.59 (define @t16 () (and @t15 @t14)) % 0.38/0.59 (define @t17 () (forall (@list @t12 @t11) (=> @t16 @t13))) % 0.38/0.59 (define @t18 () (@var "VAR_V_38" $$unsorted)) % 0.38/0.59 (define @t19 () (@var "VAR_V_37" $$unsorted)) % 0.38/0.59 (define @t20 () (@var "VAR_V_42" $$unsorted)) % 0.38/0.59 (define @t21 () (@var "VAR_V_41" $$unsorted)) % 0.38/0.59 (define @t22 () (@var "VAR_V_44" $$unsorted)) % 0.38/0.59 (define @t23 () (@var "VAR_V_47" $$unsorted)) % 0.38/0.59 (define @t24 () (@var "VAR_V_50X30" $$unsorted)) % 0.38/0.59 (define @t25 () (@var "VAR_V_53" $$unsorted)) % 0.38/0.59 (define @t26 () (@var "VAR_V_56" $$unsorted)) % 0.38/0.59 (define @t27 () (@var "VAR_V_59" $$unsorted)) % 0.38/0.59 (define @t28 () (@var "VAR_V_62" $$unsorted)) % 0.38/0.59 (define @t29 () (@var "VAR_V_65" $$unsorted)) % 0.38/0.59 (define @t30 () (tptp.pred_attacker @t29)) % 0.38/0.59 (define @t31 () (tptp.pred_attacker (tptp.tuple_A_out_4 @t29))) % 0.38/0.59 (define @t32 () (forall (@list @t29) (=> @t31 @t30))) % 0.38/0.59 (define @t33 () (@var "VAR_V_68" $$unsorted)) % 0.38/0.59 (define @t34 () (@var "VAR_V_71" $$unsorted)) % 0.38/0.59 (define @t35 () (tptp.pred_attacker @t34)) % 0.38/0.59 (define @t36 () (tptp.pred_attacker (tptp.tuple_A_out_3 @t34))) % 0.38/0.59 (define @t37 () (forall (@list @t34) (=> @t36 @t35))) % 0.38/0.59 (define @t38 () (@var "VAR_V_74" $$unsorted)) % 0.38/0.59 (define @t39 () (@var "VAR_V_77" $$unsorted)) % 0.38/0.59 (define @t40 () (tptp.pred_attacker @t39)) % 0.38/0.59 (define @t41 () (tptp.pred_attacker (tptp.tuple_A_out_1 @t39))) % 0.38/0.59 (define @t42 () (forall (@list @t39) (=> @t41 @t40))) % 0.38/0.59 (define @t43 () (@var "VAR_V_80X30" $$unsorted)) % 0.38/0.59 (define @t44 () (tptp.pred_attacker (tptp.tuple_A_in_2 @t43))) % 0.38/0.59 (define @t45 () (tptp.pred_attacker @t43)) % 0.38/0.59 (define @t46 () (forall (@list @t43) (=> @t45 @t44))) % 0.38/0.59 (define @t47 () (@var "VAR_V_83" $$unsorted)) % 0.38/0.59 (define @t48 () (@var "VAR_V_89" $$unsorted)) % 0.38/0.59 (define @t49 () (@var "VAR_V_90X30" $$unsorted)) % 0.38/0.59 (define @t50 () (@var "VAR_V_91" $$unsorted)) % 0.38/0.59 (define @t51 () (@var "VAR_V_92" $$unsorted)) % 0.38/0.59 (define @t52 () (@var "VAR_V_94" $$unsorted)) % 0.38/0.59 (define @t53 () (@var "VAR_V_95" $$unsorted)) % 0.38/0.59 (define @t54 () (tptp.constr_comm_enc tptp.name_m_9 tptp.name_Ka)) % 0.38/0.59 (define @t55 () (tptp.pred_attacker (tptp.tuple_A_out_1 @t54))) % 0.38/0.59 (define @t56 () (@var "VAR_MSG1_128" $$unsorted)) % 0.38/0.59 (define @t57 () (tptp.pred_attacker (tptp.tuple_A_out_3 (tptp.constr_comm_dec @t56 tptp.name_Ka)))) % 0.38/0.59 (define @t58 () (tptp.pred_attacker (tptp.tuple_A_in_2 @t56))) % 0.38/0.59 (define @t59 () (forall (@list @t56) (=> @t58 @t57))) % 0.38/0.59 (define @t60 () (tptp.constr_enc tptp.name_objective tptp.name_m_9)) % 0.38/0.59 (define @t61 () (tptp.pred_attacker (tptp.tuple_A_out_4 @t60))) % 0.38/0.59 (define @t62 () (@var "VAR_MSG1_142" $$unsorted)) % 0.38/0.59 (define @t63 () (tptp.pred_attacker (tptp.tuple_A_in_2 @t62))) % 0.38/0.59 (define @t64 () (@list @t62)) % 0.38/0.59 (define @t65 () (forall @t64 (=> @t63 @t61))) % 0.38/0.59 (define @t66 () (@var "VAR_MSG1_162" $$unsorted)) % 0.38/0.59 (define @t67 () (tptp.pred_attacker tptp.name_objective)) % 0.38/0.59 (define @t68 () (not @t67)) % 0.38/0.59 (define @t69 () (not @t14)) % 0.38/0.59 (define @t70 () (not @t15)) % 0.38/0.59 (define @t71 () (@list @t54)) % 0.38/0.59 (define @t72 () (tptp.pred_attacker @t54)) % 0.38/0.59 (define @t73 () (not @t55)) % 0.38/0.59 (define @t74 () (or @t73 @t72)) % 0.38/0.59 (define @t75 () (@list false false)) % 0.38/0.59 (define @t76 () (tptp.pred_attacker (tptp.tuple_A_in_2 @t54))) % 0.38/0.59 (define @t77 () (not @t72)) % 0.38/0.59 (define @t78 () (or @t77 @t76)) % 0.38/0.59 (define @t79 () (not @t63)) % 0.38/0.59 (define @t80 () (forall @t64 @t79)) % 0.38/0.59 (define @t81 () (not @t76)) % 0.38/0.59 (define @t82 () (or @t61 @t79)) % 0.38/0.59 (define @t83 () (or @t79 @t61)) % 0.38/0.59 (define @t84 () (tptp.pred_attacker @t60)) % 0.38/0.59 (define @t85 () (not @t61)) % 0.38/0.59 (define @t86 () (or @t85 @t84)) % 0.38/0.59 (define @t87 () (tptp.constr_comm_dec @t54 tptp.name_Ka)) % 0.38/0.59 (define @t88 () (tptp.pred_attacker (tptp.tuple_A_out_3 @t87))) % 0.38/0.59 (define @t89 () (or @t81 @t88)) % 0.38/0.59 (define @t90 () (tptp.pred_attacker @t87)) % 0.38/0.59 (define @t91 () (not @t88)) % 0.38/0.59 (define @t92 () (or @t91 @t90)) % 0.38/0.59 (define @t93 () (tptp.pred_attacker tptp.name_m_9)) % 0.38/0.59 (define @t94 () (tptp.constr_dec @t60 tptp.name_m_9)) % 0.38/0.59 (define @t95 () (tptp.pred_attacker @t94)) % 0.38/0.59 (define @t96 () (not @t93)) % 0.38/0.59 (define @t97 () (not @t84)) % 0.38/0.59 (define @t98 () (or @t97 @t96 @t95)) % 0.38/0.59 (define @t99 () (not @t95)) % 0.38/0.59 (define @t100 () (= tptp.name_objective @t94)) % 0.38/0.59 (define @t101 () (not @t100)) % 0.38/0.59 (define @t102 () (and @t95 @t100 @t68)) % 0.38/0.59 (assume @p1 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_1))) % 0.38/0.59 (assume @p2 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_2))) % 0.38/0.59 (assume @p3 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_3))) % 0.38/0.59 (assume @p4 (not (= tptp.constr_CONST_0x30 tptp.constr_CONST_4))) % 0.38/0.59 (assume @p5 (not (= tptp.constr_CONST_0x30 tptp.name_Ka))) % 0.38/0.59 (assume @p6 (not (= tptp.constr_CONST_0x30 tptp.name_Kb))) % 0.38/0.59 (assume @p7 (not (= tptp.constr_CONST_0x30 tptp.name_c))) % 0.38/0.59 (assume @p8 (not (= tptp.constr_CONST_0x30 tptp.name_m_9))) % 0.38/0.59 (assume @p9 (not (= tptp.constr_CONST_0x30 tptp.name_objective))) % 0.38/0.59 (assume @p10 (not (= tptp.constr_CONST_1 tptp.constr_CONST_2))) % 0.38/0.59 (assume @p11 (not (= tptp.constr_CONST_1 tptp.constr_CONST_3))) % 0.38/0.59 (assume @p12 (not (= tptp.constr_CONST_1 tptp.constr_CONST_4))) % 0.38/0.59 (assume @p13 (not (= tptp.constr_CONST_1 tptp.name_Ka))) % 0.38/0.59 (assume @p14 (not (= tptp.constr_CONST_1 tptp.name_Kb))) % 0.38/0.59 (assume @p15 (not (= tptp.constr_CONST_1 tptp.name_c))) % 0.38/0.59 (assume @p16 (not (= tptp.constr_CONST_1 tptp.name_m_9))) % 0.38/0.59 (assume @p17 (not (= tptp.constr_CONST_1 tptp.name_objective))) % 0.38/0.59 (assume @p18 (not (= tptp.constr_CONST_2 tptp.constr_CONST_3))) % 0.38/0.59 (assume @p19 (not (= tptp.constr_CONST_2 tptp.constr_CONST_4))) % 0.38/0.59 (assume @p20 (not (= tptp.constr_CONST_2 tptp.name_Ka))) % 0.38/0.59 (assume @p21 (not (= tptp.constr_CONST_2 tptp.name_Kb))) % 0.38/0.59 (assume @p22 (not (= tptp.constr_CONST_2 tptp.name_c))) % 0.38/0.59 (assume @p23 (not (= tptp.constr_CONST_2 tptp.name_m_9))) % 0.38/0.59 (assume @p24 (not (= tptp.constr_CONST_2 tptp.name_objective))) % 0.38/0.59 (assume @p25 (not (= tptp.constr_CONST_3 tptp.constr_CONST_4))) % 0.38/0.59 (assume @p26 (not (= tptp.constr_CONST_3 tptp.name_Ka))) % 0.38/0.59 (assume @p27 (not (= tptp.constr_CONST_3 tptp.name_Kb))) % 0.38/0.59 (assume @p28 (not (= tptp.constr_CONST_3 tptp.name_c))) % 0.38/0.59 (assume @p29 (not (= tptp.constr_CONST_3 tptp.name_m_9))) % 0.38/0.59 (assume @p30 (not (= tptp.constr_CONST_3 tptp.name_objective))) % 0.38/0.59 (assume @p31 (not (= tptp.constr_CONST_4 tptp.name_Ka))) % 0.38/0.59 (assume @p32 (not (= tptp.constr_CONST_4 tptp.name_Kb))) % 0.38/0.59 (assume @p33 (not (= tptp.constr_CONST_4 tptp.name_c))) % 0.38/0.59 (assume @p34 (not (= tptp.constr_CONST_4 tptp.name_m_9))) % 0.38/0.59 (assume @p35 (not (= tptp.constr_CONST_4 tptp.name_objective))) % 0.38/0.59 (assume @p36 (not (= tptp.name_Ka tptp.name_Kb))) % 0.38/0.59 (assume @p37 (not (= tptp.name_Ka tptp.name_c))) % 0.38/0.59 (assume @p38 (not (= tptp.name_Ka tptp.name_m_9))) % 0.38/0.59 (assume @p39 (not (= tptp.name_Ka tptp.name_objective))) % 0.38/0.59 (assume @p40 (not (= tptp.name_Kb tptp.name_c))) % 0.38/0.59 (assume @p41 (not (= tptp.name_Kb tptp.name_m_9))) % 0.38/0.59 (assume @p42 (not (= tptp.name_Kb tptp.name_objective))) % 0.38/0.59 (assume @p43 (not (= tptp.name_c tptp.name_m_9))) % 0.38/0.59 (assume @p44 (not (= tptp.name_c tptp.name_objective))) % 0.38/0.59 (assume @p45 (not (= tptp.name_m_9 tptp.name_objective))) % 0.38/0.59 (assume @p46 @t4) % 0.38/0.59 (assume @p47 @t8) % 0.38/0.59 (assume @p48 (tptp.pred_attacker tptp.tuple_true)) % 0.38/0.59 (assume @p49 (tptp.pred_attacker tptp.tuple_false)) % 0.38/0.59 (assume @p50 (forall (@list @t10 @t9) (=> (and (tptp.pred_attacker @t10) (tptp.pred_attacker @t9)) (tptp.pred_attacker (tptp.constr_enc @t10 @t9))))) % 0.38/0.59 (assume @p51 @t17) % 0.38/0.59 (assume @p52 (forall (@list @t19 @t18) (=> (and (tptp.pred_attacker @t19) (tptp.pred_attacker @t18)) (tptp.pred_attacker (tptp.constr_comm_enc @t19 @t18))))) % 0.38/0.59 (assume @p53 (forall (@list @t21 @t20) (=> (and (tptp.pred_attacker @t21) (tptp.pred_attacker @t20)) (tptp.pred_attacker (tptp.constr_comm_dec @t21 @t20))))) % 0.38/0.59 (assume @p54 (tptp.pred_attacker tptp.constr_CONST_4)) % 0.38/0.59 (assume @p55 (tptp.pred_attacker tptp.constr_CONST_3)) % 0.38/0.59 (assume @p56 (tptp.pred_attacker tptp.constr_CONST_2)) % 0.38/0.59 (assume @p57 (tptp.pred_attacker tptp.constr_CONST_1)) % 0.38/0.59 (assume @p58 (tptp.pred_attacker tptp.constr_CONST_0x30)) % 0.38/0.59 (assume @p59 (forall (@list @t22) (=> (tptp.pred_attacker @t22) (tptp.pred_attacker (tptp.tuple_B_out_2 @t22))))) % 0.38/0.59 (assume @p60 (forall (@list @t23) (=> (tptp.pred_attacker (tptp.tuple_B_out_2 @t23)) (tptp.pred_attacker @t23)))) % 0.38/0.59 (assume @p61 (forall (@list @t24) (=> (tptp.pred_attacker @t24) (tptp.pred_attacker (tptp.tuple_B_in_3 @t24))))) % 0.38/0.59 (assume @p62 (forall (@list @t25) (=> (tptp.pred_attacker (tptp.tuple_B_in_3 @t25)) (tptp.pred_attacker @t25)))) % 0.38/0.59 (assume @p63 (forall (@list @t26) (=> (tptp.pred_attacker @t26) (tptp.pred_attacker (tptp.tuple_B_in_1 @t26))))) % 0.38/0.59 (assume @p64 (forall (@list @t27) (=> (tptp.pred_attacker (tptp.tuple_B_in_1 @t27)) (tptp.pred_attacker @t27)))) % 0.38/0.59 (assume @p65 (forall (@list @t28) (=> (tptp.pred_attacker @t28) (tptp.pred_attacker (tptp.tuple_A_out_4 @t28))))) % 0.38/0.59 (assume @p66 @t32) % 0.38/0.59 (assume @p67 (forall (@list @t33) (=> (tptp.pred_attacker @t33) (tptp.pred_attacker (tptp.tuple_A_out_3 @t33))))) % 0.38/0.59 (assume @p68 @t37) % 0.38/0.59 (assume @p69 (forall (@list @t38) (=> (tptp.pred_attacker @t38) (tptp.pred_attacker (tptp.tuple_A_out_1 @t38))))) % 0.38/0.59 (assume @p70 @t42) % 0.38/0.59 (assume @p71 @t46) % 0.38/0.59 (assume @p72 (forall (@list @t47) (=> (tptp.pred_attacker (tptp.tuple_A_in_2 @t47)) (tptp.pred_attacker @t47)))) % 0.38/0.59 (assume @p73 (forall (@list @t48 @t49) (=> (and (tptp.pred_mess @t49 @t48) (tptp.pred_attacker @t49)) (tptp.pred_attacker @t48)))) % 0.38/0.59 (assume @p74 (forall (@list @t50 @t51) (=> (and (tptp.pred_attacker @t51) (tptp.pred_attacker @t50)) (tptp.pred_mess @t51 @t50)))) % 0.38/0.59 (assume @p75 (tptp.pred_attacker tptp.name_c)) % 0.38/0.59 (assume @p76 (forall (@list @t52) (tptp.pred_equal @t52 @t52))) % 0.38/0.59 (assume @p77 (forall (@list @t53) (tptp.pred_attacker (tptp.name_new0x2Dname @t53)))) % 0.38/0.59 (assume @p78 @t55) % 0.38/0.59 (assume @p79 @t59) % 0.38/0.59 (assume @p80 @t65) % 0.38/0.59 (assume @p81 (forall (@list @t66) (=> (tptp.pred_attacker (tptp.tuple_B_in_1 @t66)) (tptp.pred_attacker (tptp.tuple_B_out_2 (tptp.constr_comm_enc @t66 tptp.name_Kb)))))) % 0.38/0.59 (assume @p82 @t68) % 0.38/0.59 (assume @p83 true) % 0.38/0.59 (step @p84 :rule eq-symm :args (@t3 @t1)) % 0.38/0.59 (step @p85 :rule cong :premises (@p84) :args (@t4)) % 0.38/0.59 (step @p86 :rule eq_resolve :premises (@p46 @p85)) % 0.38/0.59 (step @p87 :rule instantiate :premises (@p86) :args ((@list tptp.name_m_9 tptp.name_objective))) % 0.38/0.59 (step @p88 :rule aci_norm :args ((= (or (or @t70 @t69) @t13) (or @t70 @t69 @t13)))) % 0.38/0.59 (step @p89 :rule refl :args (@t13)) % 0.38/0.59 (step @p90 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.38/0.59 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or (not @t16) @t13))) % 0.38/0.59 (step @p92 :rule trans :premises (@p91 @p88)) % 0.38/0.59 (step @p93 :rule bool-impl-elim :args (@t16 @t13)) % 0.38/0.59 (step @p94 :rule trans :premises (@p93 @p92)) % 0.38/0.59 (step @p95 :rule cong :premises (@p94) :args (@t17)) % 0.38/0.59 (step @p96 :rule eq_resolve :premises (@p51 @p95)) % 0.38/0.59 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t60 tptp.name_m_9))) % 0.38/0.59 (step @p98 :rule bool-impl-elim :args (@t31 @t30)) % 0.38/0.59 (step @p99 :rule cong :premises (@p98) :args (@t32)) % 0.38/0.59 (step @p100 :rule eq_resolve :premises (@p66 @p99)) % 0.38/0.59 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t60))) % 0.38/0.59 (step @p102 :rule bool-impl-elim :args (@t45 @t44)) % 0.38/0.59 (step @p103 :rule cong :premises (@p102) :args (@t46)) % 0.38/0.59 (step @p104 :rule eq_resolve :premises (@p71 @p103)) % 0.38/0.59 (step @p105 :rule instantiate :premises (@p104) :args (@t71)) % 0.38/0.59 (step @p106 :rule bool-impl-elim :args (@t41 @t40)) % 0.38/0.59 (step @p107 :rule cong :premises (@p106) :args (@t42)) % 0.38/0.59 (step @p108 :rule eq_resolve :premises (@p70 @p107)) % 0.38/0.59 (step @p109 :rule instantiate :premises (@p108) :args (@t71)) % 0.38/0.59 (step @p110 :rule cnf_or_pos :args (@t74)) % 0.38/0.59 (step @p111 :rule reordering :premises (@p110) :args ((or @t73 @t72 (not @t74)))) % 0.38/0.59 (step @p112 :rule chain_m_resolution :premises (@p111 @p78 @p109) :args (@t72 @t75 (@list @t55 @t74))) % 0.38/0.59 (step @p113 :rule cnf_or_pos :args (@t78)) % 0.38/0.59 (step @p114 :rule reordering :premises (@p113) :args ((or @t77 @t76 (not @t78)))) % 0.38/0.59 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p105) :args (@t76 @t75 (@list @t72 @t78))) % 0.38/0.59 (assume-push @p190 @t80) % 0.38/0.59 (step @p117 :rule instantiate :premises (@p190) :args (@t71)) % 0.38/0.59 (step-pop @p191 :rule scope :premises (@p117)) % 0.38/0.59 (step @p118 :rule process_scope :premises (@p191) :args (@t81)) % 0.38/0.59 (step @p120 :rule implies_elim :premises (@p118)) % 0.38/0.59 (step @p121 :rule chain_m_resolution :premises (@p120 @p115) :args ((not @t80) (@list false) (@list @t76))) % 0.38/0.59 (step @p122 :rule quant-miniscope-or :args ((= (forall @t64 @t82) (or @t61 @t80)))) % 0.38/0.59 (step @p123 :rule aci_norm :args ((= @t83 @t82))) % 0.38/0.59 (step @p124 :rule cong :premises (@p123) :args ((forall @t64 @t83))) % 0.38/0.59 (step @p125 :rule trans :premises (@p124 @p122)) % 0.38/0.59 (step @p126 :rule bool-impl-elim :args (@t63 @t61)) % 0.38/0.59 (step @p127 :rule cong :premises (@p126) :args (@t65)) % 0.38/0.59 (step @p128 :rule trans :premises (@p127 @p125)) % 0.38/0.59 (step @p129 :rule eq_resolve :premises (@p80 @p128)) % 0.38/0.59 (step @p130 :rule chain_m_resolution :premises (@p129 @p121) :args (@t61 (@list true) (@list @t80))) % 0.38/0.59 (step @p131 :rule cnf_or_pos :args (@t86)) % 0.38/0.59 (step @p132 :rule reordering :premises (@p131) :args ((or @t85 @t84 (not @t86)))) % 0.38/0.59 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p101) :args (@t84 @t75 (@list @t61 @t86))) % 0.38/0.59 (step @p134 :rule bool-impl-elim :args (@t36 @t35)) % 0.38/0.59 (step @p135 :rule cong :premises (@p134) :args (@t37)) % 0.38/0.59 (step @p136 :rule eq_resolve :premises (@p68 @p135)) % 0.38/0.59 (step @p137 :rule instantiate :premises (@p136) :args ((@list @t87))) % 0.38/0.59 (step @p138 :rule bool-impl-elim :args (@t58 @t57)) % 0.38/0.59 (step @p139 :rule cong :premises (@p138) :args (@t59)) % 0.38/0.59 (step @p140 :rule eq_resolve :premises (@p79 @p139)) % 0.38/0.59 (step @p141 :rule instantiate :premises (@p140) :args (@t71)) % 0.38/0.59 (step @p142 :rule cnf_or_pos :args (@t89)) % 0.38/0.59 (step @p143 :rule reordering :premises (@p142) :args ((or @t81 @t88 (not @t89)))) % 0.38/0.59 (step @p144 :rule chain_m_resolution :premises (@p143 @p115 @p141) :args (@t88 @t75 (@list @t76 @t89))) % 0.38/0.59 (step @p145 :rule cnf_or_pos :args (@t92)) % 0.38/0.59 (step @p146 :rule reordering :premises (@p145) :args ((or @t91 @t90 (not @t92)))) % 0.38/0.59 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p137) :args (@t90 @t75 (@list @t88 @t92))) % 0.38/0.59 (step @p148 :rule true_intro :premises (@p147)) % 0.38/0.59 (step @p149 :rule eq-symm :args (@t7 @t5)) % 0.38/0.59 (step @p150 :rule cong :premises (@p149) :args (@t8)) % 0.38/0.59 (step @p151 :rule eq_resolve :premises (@p47 @p150)) % 0.38/0.59 (step @p152 :rule instantiate :premises (@p151) :args ((@list tptp.name_Ka tptp.name_m_9))) % 0.38/0.59 (step @p153 :rule cong :premises (@p152) :args (@t93)) % 0.38/0.59 (step @p154 :rule trans :premises (@p153 @p148)) % 0.38/0.59 (step @p155 :rule true_elim :premises (@p154)) % 0.38/0.59 (step @p156 :rule cnf_or_pos :args (@t98)) % 0.38/0.59 (step @p157 :rule reordering :premises (@p156) :args ((or @t96 @t97 @t95 (not @t98)))) % 0.38/0.59 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p133 @p97) :args (@t95 (@list false false false) (@list @t93 @t84 @t98))) % 0.38/0.59 (step @p159 :rule refl :args (@t99)) % 0.38/0.59 (step @p160 :rule refl :args (@t101)) % 0.38/0.59 (step @p161 :rule bool-double-not-elim :args (@t67)) % 0.38/0.59 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159) :args ((or (not @t68) @t101 @t99))) % 0.38/0.59 (assume-push @p192 @t95) % 0.38/0.59 (assume-push @p193 @t100) % 0.38/0.59 (assume-push @p194 @t68) % 0.38/0.59 (step @p166 :rule evaluate :args ((= false true))) % 0.38/0.59 (step @p167 :rule true_intro :premises (@p192)) % 0.38/0.59 (step @p168 :rule cong :premises (@p87) :args (@t67)) % 0.38/0.59 (step @p169 :rule false_intro :premises (@p82)) % 0.38/0.59 (step @p170 :rule symm :premises (@p169)) % 0.38/0.59 (step @p171 :rule trans :premises (@p170 @p168 @p167)) % 0.38/0.59 (step @p172 false :rule eq_resolve :premises (@p171 @p166)) % 0.38/0.59 (step-pop @p195 :rule scope :premises (@p172)) % 0.38/0.59 (step-pop @p196 :rule scope :premises (@p195)) % 0.38/0.59 (step-pop @p197 :rule scope :premises (@p196)) % 0.38/0.59 (step @p173 :rule process_scope :premises (@p197) :args (false)) % 0.38/0.59 (assume-push @p198 @t68) % 0.38/0.59 (assume-push @p199 @t100) % 0.38/0.59 (assume-push @p200 @t95) % 0.38/0.59 (step @p180 :rule and_intro :premises (@p200 @p87 @p82)) % 0.38/0.59 (step-pop @p201 :rule scope :premises (@p180)) % 0.38/0.59 (step-pop @p202 :rule scope :premises (@p201)) % 0.38/0.59 (step-pop @p203 :rule scope :premises (@p202)) % 0.38/0.59 (step @p181 :rule process_scope :premises (@p203) :args (@t102)) % 0.38/0.59 (step @p185 :rule implies_elim :premises (@p181)) % 0.38/0.59 (step @p186 :rule resolution :premises (@p185 @p173) :args (true @t102)) % 0.38/0.59 (step @p187 :rule not_and :premises (@p186)) % 0.38/0.59 (step @p188 :rule eq_resolve :premises (@p187 @p162)) % 0.38/0.59 (step @p189 false :rule chain_m_resolution :premises (@p188 @p158 @p87 @p82) :args (false (@list false false true) (@list @t95 @t100 @t67))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------