%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV276-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 09:00:56 AM UTC 2026 % Result : Unsatisfiable 0.87s 1.09s % Output : Proof 0.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV276-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 20:00:59 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.87/1.09 % SZS status Unsatisfiable % 0.87/1.09 % SZS output start Proof % 0.87/1.09 ( % 0.87/1.09 (declare-sort $$unsorted 0) % 0.87/1.09 (declare-const tptp.v_K $$unsorted) % 0.87/1.09 (declare-const tptp.v_X $$unsorted) % 0.87/1.09 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.87/1.09 (declare-const tptp.v_sko__uhi (-> $$unsorted $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.87/1.09 (declare-const tptp.v_G $$unsorted) % 0.87/1.09 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.v_H $$unsorted) % 0.87/1.09 (declare-const tptp.tc_nat $$unsorted) % 0.87/1.09 (declare-const tptp.c_Message_OkeysFor (-> $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.c_Message_OinvKey (-> $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.87/1.09 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.87/1.09 (define @t1 () (@var "V_H" $$unsorted)) % 0.87/1.09 (define @t2 () (@var "V_K" $$unsorted)) % 0.87/1.09 (define @t3 () (tptp.v_sko__uhi @t1 @t2)) % 0.87/1.09 (define @t4 () (tptp.c_Message_OkeysFor @t1)) % 0.87/1.09 (define @t5 () (tptp.c_in @t2 @t4 tptp.tc_nat)) % 0.87/1.09 (define @t6 () (tptp.c_Message_Osynth @t1)) % 0.87/1.09 (define @t7 () (not (tptp.c_in @t2 (tptp.c_Message_OkeysFor @t6) tptp.tc_nat))) % 0.87/1.09 (define @t8 () (@list @t2 @t1)) % 0.87/1.09 (define @t9 () (tptp.c_Message_Oparts @t1)) % 0.87/1.09 (define @t10 () (@var "V_X" $$unsorted)) % 0.87/1.09 (define @t11 () (tptp.c_Message_Oanalz @t1)) % 0.87/1.09 (define @t12 () (tptp.tc_set tptp.tc_Message_Omsg)) % 0.87/1.09 (define @t13 () (@list @t1)) % 0.87/1.09 (define @t14 () (@var "V_y" $$unsorted)) % 0.87/1.09 (define @t15 () (tptp.c_Message_OinvKey (tptp.c_Message_OinvKey @t14))) % 0.87/1.09 (define @t16 () (forall (@list @t14) (= @t15 @t14))) % 0.87/1.09 (define @t17 () (tptp.tc_set tptp.tc_nat)) % 0.87/1.09 (define @t18 () (@var "V_G" $$unsorted)) % 0.87/1.09 (define @t19 () (@list @t18 @t1)) % 0.87/1.09 (define @t20 () (@var "V_H_H" $$unsorted)) % 0.87/1.09 (define @t21 () (tptp.c_Message_Oparts @t11)) % 0.87/1.09 (define @t22 () (forall @t13 (= @t21 @t9))) % 0.87/1.09 (define @t23 () (tptp.c_union (tptp.c_Message_Oparts @t18) @t9 tptp.tc_Message_Omsg)) % 0.87/1.09 (define @t24 () (tptp.c_Message_Oparts (tptp.c_union @t18 @t1 tptp.tc_Message_Omsg))) % 0.87/1.09 (define @t25 () (forall @t19 (= @t24 @t23))) % 0.87/1.09 (define @t26 () (@var "T_a" $$unsorted)) % 0.87/1.09 (define @t27 () (@var "V_B" $$unsorted)) % 0.87/1.09 (define @t28 () (@var "V_c" $$unsorted)) % 0.87/1.09 (define @t29 () (tptp.c_in @t28 @t27 @t26)) % 0.87/1.09 (define @t30 () (@var "V_A" $$unsorted)) % 0.87/1.09 (define @t31 () (tptp.c_in @t28 @t30 @t26)) % 0.87/1.09 (define @t32 () (not @t31)) % 0.87/1.09 (define @t33 () (@list @t28 @t30 @t26 @t27)) % 0.87/1.09 (define @t34 () (tptp.c_in @t28 (tptp.c_union @t30 @t27 @t26) @t26)) % 0.87/1.09 (define @t35 () (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X tptp.v_G tptp.tc_Message_Omsg))) % 0.87/1.09 (define @t36 () (tptp.c_Message_OkeysFor @t35)) % 0.87/1.09 (define @t37 () (tptp.c_in tptp.v_K @t36 tptp.tc_nat)) % 0.87/1.09 (define @t38 () (tptp.c_Message_Oanalz tptp.v_H)) % 0.87/1.09 (define @t39 () (tptp.c_Message_Osynth @t38)) % 0.87/1.09 (define @t40 () (tptp.c_in tptp.v_X @t39 tptp.tc_Message_Omsg)) % 0.87/1.09 (define @t41 () (tptp.c_Message_Oparts tptp.v_H)) % 0.87/1.09 (define @t42 () (tptp.c_Message_Omsg_OKey (tptp.c_Message_OinvKey tptp.v_K))) % 0.87/1.09 (define @t43 () (tptp.c_in @t42 @t41 tptp.tc_Message_Omsg)) % 0.87/1.09 (define @t44 () (not @t43)) % 0.87/1.09 (define @t45 () (@list tptp.v_H)) % 0.87/1.09 (define @t46 () (tptp.v_sko__uhi @t38 tptp.v_K)) % 0.87/1.09 (define @t47 () (@list tptp.v_K @t38)) % 0.87/1.09 (define @t48 () (tptp.c_Message_OkeysFor @t41)) % 0.87/1.09 (define @t49 () (tptp.c_Message_OkeysFor @t38)) % 0.87/1.09 (define @t50 () (tptp.c_Message_Oparts tptp.v_G)) % 0.87/1.09 (define @t51 () (tptp.c_Message_OkeysFor @t50)) % 0.87/1.09 (define @t52 () (tptp.c_in tptp.v_K (tptp.c_union @t51 @t48 tptp.tc_nat) tptp.tc_nat)) % 0.87/1.09 (define @t53 () (tptp.c_in tptp.v_K @t48 tptp.tc_nat)) % 0.87/1.09 (define @t54 () (not @t53)) % 0.87/1.09 (define @t55 () (or @t54 @t52)) % 0.87/1.09 (define @t56 () (@list true false)) % 0.87/1.09 (define @t57 () (tptp.c_lessequals @t49 @t48 @t17)) % 0.87/1.09 (define @t58 () (tptp.c_lessequals @t38 @t41 @t12)) % 0.87/1.09 (define @t59 () (not @t58)) % 0.87/1.09 (define @t60 () (or @t59 @t57)) % 0.87/1.09 (define @t61 () (@list false false)) % 0.87/1.09 (define @t62 () (not @t57)) % 0.87/1.09 (define @t63 () (tptp.c_in tptp.v_K @t49 tptp.tc_nat)) % 0.87/1.09 (define @t64 () (not @t63)) % 0.87/1.09 (define @t65 () (or @t64 @t62 @t53)) % 0.87/1.09 (define @t66 () (@list false true false)) % 0.87/1.09 (define @t67 () (tptp.c_Message_OkeysFor @t39)) % 0.87/1.09 (define @t68 () (tptp.c_Message_Oparts @t38)) % 0.87/1.09 (define @t69 () (tptp.c_Message_OkeysFor @t68)) % 0.87/1.09 (define @t70 () (tptp.c_in tptp.v_K @t69 tptp.tc_nat)) % 0.87/1.09 (define @t71 () (tptp.c_Message_Oparts @t39)) % 0.87/1.09 (define @t72 () (tptp.c_Message_OkeysFor @t71)) % 0.87/1.09 (define @t73 () (tptp.c_union @t71 @t50 tptp.tc_Message_Omsg)) % 0.87/1.09 (define @t74 () (tptp.c_Message_OkeysFor @t73)) % 0.87/1.09 (define @t75 () (tptp.c_lessequals @t35 @t73 @t12)) % 0.87/1.09 (define @t76 () (not @t40)) % 0.87/1.09 (define @t77 () (or @t76 @t75)) % 0.87/1.09 (define @t78 () (tptp.c_lessequals @t36 @t74 @t17)) % 0.87/1.09 (define @t79 () (not @t75)) % 0.87/1.09 (define @t80 () (or @t79 @t78)) % 0.87/1.09 (define @t81 () (tptp.c_in tptp.v_K @t74 tptp.tc_nat)) % 0.87/1.09 (define @t82 () (not @t78)) % 0.87/1.09 (define @t83 () (not @t37)) % 0.87/1.09 (define @t84 () (or @t83 @t82 @t81)) % 0.87/1.09 (define @t85 () (tptp.c_in tptp.v_K (tptp.c_union @t72 @t51 tptp.tc_nat) tptp.tc_nat)) % 0.87/1.09 (define @t86 () (tptp.c_in tptp.v_K @t51 tptp.tc_nat)) % 0.87/1.09 (define @t87 () (not @t86)) % 0.87/1.09 (define @t88 () (or @t87 @t52)) % 0.87/1.09 (define @t89 () (tptp.c_in tptp.v_K @t72 tptp.tc_nat)) % 0.87/1.09 (define @t90 () (not @t85)) % 0.87/1.09 (define @t91 () (or @t90 @t86 @t89)) % 0.87/1.09 (define @t92 () (tptp.c_in tptp.v_K (tptp.c_union @t69 @t67 tptp.tc_nat) tptp.tc_nat)) % 0.87/1.09 (define @t93 () (tptp.c_in tptp.v_K @t67 tptp.tc_nat)) % 0.87/1.09 (define @t94 () (not @t92)) % 0.87/1.09 (define @t95 () (or @t94 @t93 @t70)) % 0.87/1.09 (define @t96 () (tptp.c_Message_OinvKey @t46)) % 0.87/1.09 (define @t97 () (= tptp.v_K @t96)) % 0.87/1.09 (define @t98 () (not @t93)) % 0.87/1.09 (define @t99 () (or @t98 @t63 @t97)) % 0.87/1.09 (define @t100 () (tptp.c_Message_Omsg_OKey @t46)) % 0.87/1.09 (define @t101 () (tptp.c_in @t100 @t38 tptp.tc_Message_Omsg)) % 0.87/1.09 (define @t102 () (or @t98 @t63 @t101)) % 0.87/1.09 (define @t103 () (tptp.c_in @t100 @t41 tptp.tc_Message_Omsg)) % 0.87/1.09 (define @t104 () (not @t101)) % 0.87/1.09 (define @t105 () (or @t104 @t103)) % 0.87/1.09 (define @t106 () (not @t103)) % 0.87/1.09 (define @t107 () (tptp.c_Message_OinvKey @t96)) % 0.87/1.09 (define @t108 () (= @t46 @t107)) % 0.87/1.09 (define @t109 () (not @t108)) % 0.87/1.09 (define @t110 () (not @t97)) % 0.87/1.09 (define @t111 () (= @t41 @t68)) % 0.87/1.09 (define @t112 () (not @t111)) % 0.87/1.09 (define @t113 () (and @t44 @t111 @t97 @t108)) % 0.87/1.09 (assume @p1 (forall @t8 (or @t7 @t5 (tptp.c_in (tptp.c_Message_Omsg_OKey @t3) @t1 tptp.tc_Message_Omsg)))) % 0.87/1.09 (assume @p2 (forall @t8 (or @t7 @t5 (= @t2 (tptp.c_Message_OinvKey @t3))))) % 0.87/1.09 (assume @p3 (forall (@list @t10 @t1) (or (not (tptp.c_in @t10 @t11 tptp.tc_Message_Omsg)) (tptp.c_in @t10 @t9 tptp.tc_Message_Omsg)))) % 0.87/1.09 (assume @p4 (forall @t13 (tptp.c_lessequals @t11 @t9 @t12))) % 0.87/1.09 (assume @p5 @t16) % 0.87/1.09 (assume @p6 (forall @t19 (or (not (tptp.c_lessequals @t18 @t1 @t12)) (tptp.c_lessequals (tptp.c_Message_OkeysFor @t18) @t4 @t17)))) % 0.87/1.09 (assume @p7 (forall (@list @t1 @t20) (= (tptp.c_Message_OkeysFor (tptp.c_union @t1 @t20 tptp.tc_Message_Omsg)) (tptp.c_union @t4 (tptp.c_Message_OkeysFor @t20) tptp.tc_nat)))) % 0.87/1.09 (assume @p8 @t22) % 0.87/1.09 (assume @p9 (forall (@list @t10 @t18 @t1) (or (not (tptp.c_in @t10 @t18 tptp.tc_Message_Omsg)) (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_insert @t10 @t1 tptp.tc_Message_Omsg)) @t23 @t12)))) % 0.87/1.09 (assume @p10 (forall @t13 (= (tptp.c_Message_Oparts @t6) (tptp.c_union @t9 @t6 tptp.tc_Message_Omsg)))) % 0.87/1.09 (assume @p11 @t25) % 0.87/1.09 (assume @p12 (forall @t33 (or @t32 (not (tptp.c_lessequals @t30 @t27 (tptp.tc_set @t26))) @t29))) % 0.87/1.09 (assume @p13 (forall (@list @t28 @t30 @t27 @t26) (or (not @t34) @t29 @t31))) % 0.87/1.09 (assume @p14 (forall @t33 (or @t32 @t34))) % 0.87/1.09 (assume @p15 (forall (@list @t28 @t27 @t26 @t30) (or (not @t29) @t34))) % 0.87/1.09 (assume @p16 @t37) % 0.87/1.09 (assume @p17 @t40) % 0.87/1.09 (assume @p18 (not (tptp.c_in tptp.v_K (tptp.c_Message_OkeysFor (tptp.c_Message_Oparts (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg))) tptp.tc_nat))) % 0.87/1.09 (assume @p19 @t44) % 0.87/1.09 (step @p20 :rule eq-symm :args (@t21 @t9)) % 0.87/1.09 (step @p21 :rule cong :premises (@p20) :args (@t22)) % 0.87/1.09 (step @p22 :rule eq_resolve :premises (@p8 @p21)) % 0.87/1.09 (step @p23 :rule instantiate :premises (@p22) :args (@t45)) % 0.87/1.09 (step @p24 :rule eq-symm :args (@t15 @t14)) % 0.87/1.09 (step @p25 :rule cong :premises (@p24) :args (@t16)) % 0.87/1.09 (step @p26 :rule eq_resolve :premises (@p5 @p25)) % 0.87/1.09 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t46))) % 0.87/1.09 (step @p28 :rule instantiate :premises (@p2) :args (@t47)) % 0.87/1.09 (step @p29 :rule instantiate :premises (@p12) :args ((@list tptp.v_K @t49 tptp.tc_nat @t48))) % 0.87/1.09 (step @p30 :rule instantiate :premises (@p15) :args ((@list tptp.v_K @t48 tptp.tc_nat @t51))) % 0.87/1.09 (step @p31 :rule false_intro :premises (@p18)) % 0.87/1.09 (step @p32 :rule refl :args (tptp.tc_nat)) % 0.87/1.09 (step @p33 :rule eq-symm :args (@t24 @t23)) % 0.87/1.09 (step @p34 :rule cong :premises (@p33) :args (@t25)) % 0.87/1.09 (step @p35 :rule eq_resolve :premises (@p11 @p34)) % 0.87/1.09 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.v_G tptp.v_H))) % 0.87/1.09 (step @p37 :rule cong :premises (@p36) :args ((tptp.c_Message_OkeysFor (tptp.c_union @t50 @t41 tptp.tc_Message_Omsg)))) % 0.87/1.09 (step @p38 :rule instantiate :premises (@p7) :args ((@list @t50 @t41))) % 0.87/1.09 (step @p39 :rule symm :premises (@p38)) % 0.87/1.09 (step @p40 :rule trans :premises (@p39 @p37)) % 0.87/1.09 (step @p41 :rule refl :args (tptp.v_K)) % 0.87/1.09 (step @p42 :rule cong :premises (@p41 @p40 @p32) :args (@t52)) % 0.87/1.09 (step @p43 :rule trans :premises (@p42 @p31)) % 0.87/1.09 (step @p44 :rule false_elim :premises (@p43)) % 0.87/1.09 (step @p45 :rule cnf_or_pos :args (@t55)) % 0.87/1.09 (step @p46 :rule reordering :premises (@p45) :args ((or @t52 @t54 (not @t55)))) % 0.87/1.09 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p30) :args (@t54 @t56 (@list @t52 @t55))) % 0.87/1.09 (step @p48 :rule instantiate :premises (@p6) :args ((@list @t38 @t41))) % 0.87/1.09 (step @p49 :rule instantiate :premises (@p4) :args (@t45)) % 0.87/1.09 (step @p50 :rule cnf_or_pos :args (@t60)) % 0.87/1.09 (step @p51 :rule reordering :premises (@p50) :args ((or @t59 @t57 (not @t60)))) % 0.87/1.09 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p48) :args (@t57 @t61 (@list @t58 @t60))) % 0.87/1.09 (step @p53 :rule cnf_or_pos :args (@t65)) % 0.87/1.09 (step @p54 :rule reordering :premises (@p53) :args ((or @t62 @t53 @t64 (not @t65)))) % 0.87/1.09 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p47 @p29) :args (@t64 @t66 (@list @t57 @t53 @t65))) % 0.87/1.09 (step @p56 :rule instantiate :premises (@p13) :args ((@list tptp.v_K @t69 @t67 tptp.tc_nat))) % 0.87/1.09 (step @p57 :rule false_intro :premises (@p47)) % 0.87/1.09 (step @p58 :rule symm :premises (@p23)) % 0.87/1.09 (step @p59 :rule cong :premises (@p58) :args (@t69)) % 0.87/1.09 (step @p60 :rule cong :premises (@p41 @p59 @p32) :args (@t70)) % 0.87/1.09 (step @p61 :rule trans :premises (@p60 @p57)) % 0.87/1.09 (step @p62 :rule false_elim :premises (@p61)) % 0.87/1.09 (step @p63 :rule instantiate :premises (@p13) :args ((@list tptp.v_K @t72 @t51 tptp.tc_nat))) % 0.87/1.09 (step @p64 :rule instantiate :premises (@p12) :args ((@list tptp.v_K @t36 tptp.tc_nat @t74))) % 0.87/1.09 (step @p65 :rule instantiate :premises (@p6) :args ((@list @t35 @t73))) % 0.87/1.09 (step @p66 :rule instantiate :premises (@p9) :args ((@list tptp.v_X @t39 tptp.v_G))) % 0.87/1.09 (step @p67 :rule cnf_or_pos :args (@t77)) % 0.87/1.09 (step @p68 :rule reordering :premises (@p67) :args ((or @t76 @t75 (not @t77)))) % 0.87/1.09 (step @p69 :rule chain_m_resolution :premises (@p68 @p17 @p66) :args (@t75 @t61 (@list @t40 @t77))) % 0.87/1.09 (step @p70 :rule cnf_or_pos :args (@t80)) % 0.87/1.09 (step @p71 :rule reordering :premises (@p70) :args ((or @t79 @t78 (not @t80)))) % 0.87/1.09 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p65) :args (@t78 @t61 (@list @t75 @t80))) % 0.87/1.09 (step @p73 :rule cnf_or_pos :args (@t84)) % 0.87/1.09 (step @p74 :rule reordering :premises (@p73) :args ((or @t83 @t82 @t81 (not @t84)))) % 0.87/1.09 (step @p75 :rule chain_m_resolution :premises (@p74 @p16 @p72 @p64) :args (@t81 (@list false false false) (@list @t37 @t78 @t84))) % 0.87/1.09 (step @p76 :rule true_intro :premises (@p75)) % 0.87/1.09 (step @p77 :rule instantiate :premises (@p7) :args ((@list @t71 @t50))) % 0.87/1.09 (step @p78 :rule symm :premises (@p77)) % 0.87/1.09 (step @p79 :rule cong :premises (@p41 @p78 @p32) :args (@t85)) % 0.87/1.09 (step @p80 :rule trans :premises (@p79 @p76)) % 0.87/1.09 (step @p81 :rule true_elim :premises (@p80)) % 0.87/1.09 (step @p82 :rule instantiate :premises (@p14) :args ((@list tptp.v_K @t51 tptp.tc_nat @t48))) % 0.87/1.09 (step @p83 :rule cnf_or_pos :args (@t88)) % 0.87/1.09 (step @p84 :rule reordering :premises (@p83) :args ((or @t87 @t52 (not @t88)))) % 0.87/1.09 (step @p85 :rule chain_m_resolution :premises (@p84 @p44 @p82) :args (@t87 @t56 (@list @t52 @t88))) % 0.87/1.09 (step @p86 :rule cnf_or_pos :args (@t91)) % 0.87/1.09 (step @p87 :rule reordering :premises (@p86) :args ((or @t86 @t90 @t89 (not @t91)))) % 0.87/1.09 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p81 @p63) :args (@t89 (@list true false false) (@list @t86 @t85 @t91))) % 0.87/1.09 (step @p89 :rule true_intro :premises (@p88)) % 0.87/1.09 (step @p90 :rule instantiate :premises (@p10) :args ((@list @t38))) % 0.87/1.09 (step @p91 :rule symm :premises (@p90)) % 0.87/1.09 (step @p92 :rule cong :premises (@p91) :args ((tptp.c_Message_OkeysFor (tptp.c_union @t68 @t39 tptp.tc_Message_Omsg)))) % 0.87/1.09 (step @p93 :rule instantiate :premises (@p7) :args ((@list @t68 @t39))) % 0.87/1.09 (step @p94 :rule symm :premises (@p93)) % 0.87/1.09 (step @p95 :rule trans :premises (@p94 @p92)) % 0.87/1.09 (step @p96 :rule cong :premises (@p41 @p95 @p32) :args (@t92)) % 0.87/1.09 (step @p97 :rule trans :premises (@p96 @p89)) % 0.87/1.09 (step @p98 :rule true_elim :premises (@p97)) % 0.87/1.09 (step @p99 :rule cnf_or_pos :args (@t95)) % 0.87/1.09 (step @p100 :rule reordering :premises (@p99) :args ((or @t94 @t93 @t70 (not @t95)))) % 0.87/1.09 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p62 @p56) :args (@t93 @t66 (@list @t92 @t70 @t95))) % 0.87/1.09 (step @p102 :rule cnf_or_pos :args (@t99)) % 0.87/1.09 (step @p103 :rule reordering :premises (@p102) :args ((or @t98 @t63 @t97 (not @t99)))) % 0.87/1.09 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p55 @p28) :args (@t97 @t66 (@list @t93 @t63 @t99))) % 0.87/1.09 (step @p105 :rule instantiate :premises (@p3) :args ((@list @t100 tptp.v_H))) % 0.87/1.09 (step @p106 :rule instantiate :premises (@p1) :args (@t47)) % 0.87/1.09 (step @p107 :rule cnf_or_pos :args (@t102)) % 0.87/1.09 (step @p108 :rule reordering :premises (@p107) :args ((or @t98 @t63 @t101 (not @t102)))) % 0.87/1.09 (step @p109 :rule chain_m_resolution :premises (@p108 @p101 @p55 @p106) :args (@t101 @t66 (@list @t93 @t63 @t102))) % 0.87/1.09 (step @p110 :rule cnf_or_pos :args (@t105)) % 0.87/1.09 (step @p111 :rule reordering :premises (@p110) :args ((or @t104 @t103 (not @t105)))) % 0.87/1.09 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p105) :args (@t103 @t61 (@list @t101 @t105))) % 0.87/1.09 (step @p113 :rule refl :args (@t106)) % 0.87/1.09 (step @p114 :rule refl :args (@t109)) % 0.87/1.09 (step @p115 :rule refl :args (@t110)) % 0.87/1.09 (step @p116 :rule refl :args (@t112)) % 0.87/1.09 (step @p117 :rule bool-double-not-elim :args (@t43)) % 0.87/1.09 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114 @p113) :args ((or (not @t44) @t112 @t110 @t109 @t106))) % 0.87/1.09 (assume-push @p145 @t44) % 0.87/1.09 (assume-push @p146 @t111) % 0.87/1.09 (assume-push @p147 @t97) % 0.87/1.09 (assume-push @p148 @t108) % 0.87/1.09 (step @p123 :rule false_intro :premises (@p19)) % 0.87/1.09 (step @p124 :rule refl :args (tptp.tc_Message_Omsg)) % 0.87/1.09 (step @p125 :rule refl :args (@t42)) % 0.87/1.09 (step @p126 :rule cong :premises (@p125 @p58 @p124) :args ((tptp.c_in @t42 @t68 tptp.tc_Message_Omsg))) % 0.87/1.09 (step @p127 :rule symm :premises (@p104)) % 0.87/1.09 (step @p128 :rule cong :premises (@p127) :args (@t107)) % 0.87/1.09 (step @p129 :rule trans :premises (@p27 @p128)) % 0.87/1.09 (step @p130 :rule cong :premises (@p129) :args (@t100)) % 0.87/1.09 (step @p131 :rule cong :premises (@p130 @p23 @p124) :args (@t103)) % 0.87/1.09 (step @p132 :rule trans :premises (@p131 @p126 @p123)) % 0.87/1.09 (step @p133 :rule false_elim :premises (@p132)) % 0.87/1.09 (step-pop @p149 :rule scope :premises (@p133)) % 0.87/1.09 (step-pop @p150 :rule scope :premises (@p149)) % 0.87/1.09 (step-pop @p151 :rule scope :premises (@p150)) % 0.87/1.09 (step-pop @p152 :rule scope :premises (@p151)) % 0.87/1.09 (step @p134 :rule process_scope :premises (@p152) :args (@t106)) % 0.87/1.09 (step @p139 :rule implies_elim :premises (@p134)) % 0.87/1.09 (step @p140 :rule cnf_and_neg :args (@t113)) % 0.87/1.09 (step @p141 :rule resolution :premises (@p140 @p139) :args (true @t113)) % 0.87/1.09 (step @p142 :rule eq_resolve :premises (@p141 @p118)) % 0.87/1.09 (step @p143 :rule reordering :premises (@p142) :args ((or @t43 @t112 @t110 @t106 @t109))) % 0.87/1.09 (step @p144 false :rule chain_m_resolution :premises (@p143 @p112 @p104 @p27 @p23 @p19) :args (false (@list false false false false true) (@list @t103 @t97 @t108 @t111 @t43))) % 0.87/1.09 ) % 0.87/1.10 % SZS output end Proof % 0.87/1.10 % cvc5 exiting %------------------------------------------------------------------------------