%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV864-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 09:02:31 AM UTC 2026 % Result : Unsatisfiable 15.53s 15.96s % Output : Proof 15.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV864-1 : TPTP v9.2.1. Released v4.1.0. % 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 : n021.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 21:19:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.41/15.69 --- Run --no-e-matching --full-saturate-quant at 6... % 15.53/15.96 % SZS status Unsatisfiable % 15.53/15.96 % SZS output start Proof % 15.53/15.97 ( % 15.53/15.97 (declare-sort $$unsorted 0) % 15.53/15.97 (declare-const tptp.v_xb (-> $$unsorted $$unsorted)) % 15.53/15.97 (declare-const tptp.v_c $$unsorted) % 15.53/15.97 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 $$unsorted) % 15.53/15.97 (declare-const tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 (-> $$unsorted $$unsorted)) % 15.53/15.97 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 $$unsorted) % 15.53/15.97 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted $$unsorted)) % 15.53/15.97 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 15.53/15.97 (declare-const tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.53/15.97 (declare-const tptp.c_Natural_Osko__Natural__Xevalc__evaln__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.53/15.97 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 15.53/15.97 (declare-const tptp.v_xa $$unsorted) % 15.53/15.97 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.53/15.97 (declare-const tptp.v_x $$unsorted) % 15.53/15.97 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 15.53/15.97 (declare-const tptp.c_Natural_Osko__Natural__Xeval__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.53/15.97 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.53/15.97 (declare-const tptp.t_a $$unsorted) % 15.53/15.97 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 15.53/15.97 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 $$unsorted) % 15.53/15.97 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 $$unsorted) % 15.53/15.97 (define @t1 () (@var "V_x" $$unsorted)) % 15.53/15.97 (define @t2 () (@var "T_a" $$unsorted)) % 15.53/15.97 (define @t3 () (@var "V_t" $$unsorted)) % 15.53/15.97 (define @t4 () (@var "V_n" $$unsorted)) % 15.53/15.97 (define @t5 () (@var "V_s" $$unsorted)) % 15.53/15.97 (define @t6 () (= @t3 @t5)) % 15.53/15.97 (define @t7 () (@var "V_c2" $$unsorted)) % 15.53/15.97 (define @t8 () (@var "V_c1" $$unsorted)) % 15.53/15.97 (define @t9 () (tptp.c_Com_Ocom_OSemi @t8 @t7)) % 15.53/15.97 (define @t10 () (not (tptp.c_Natural_Oevalc @t9 @t5 @t3))) % 15.53/15.97 (define @t11 () (tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 @t8 @t7 @t5 @t3)) % 15.53/15.97 (define @t12 () (@var "V_s1" $$unsorted)) % 15.53/15.97 (define @t13 () (@var "V_s0" $$unsorted)) % 15.53/15.97 (define @t14 () (@var "V_c0" $$unsorted)) % 15.53/15.97 (define @t15 () (@var "V_s2" $$unsorted)) % 15.53/15.97 (define @t16 () (tptp.c_Com_Ocom_OSemi @t14 @t8)) % 15.53/15.97 (define @t17 () (@var "V_c" $$unsorted)) % 15.53/15.97 (define @t18 () (tptp.c_Natural_Oevalc @t17 @t5 @t3)) % 15.53/15.97 (define @t19 () (not @t18)) % 15.53/15.97 (define @t20 () (@list @t17 @t5 @t3)) % 15.53/15.97 (define @t21 () (@var "V_com2_H" $$unsorted)) % 15.53/15.97 (define @t22 () (@var "V_com2" $$unsorted)) % 15.53/15.97 (define @t23 () (@var "V_com1_H" $$unsorted)) % 15.53/15.97 (define @t24 () (tptp.c_Com_Ocom_OSemi @t23 @t21)) % 15.53/15.97 (define @t25 () (@var "V_com1" $$unsorted)) % 15.53/15.97 (define @t26 () (not (= (tptp.c_Com_Ocom_OSemi @t25 @t22) @t24))) % 15.53/15.97 (define @t27 () (@list @t25 @t22 @t23 @t21)) % 15.53/15.97 (define @t28 () (not (tptp.c_Natural_Oevaln @t9 @t5 @t4 @t3))) % 15.53/15.97 (define @t29 () (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 @t8 @t7 @t4 @t5 @t3)) % 15.53/15.97 (define @t30 () (@list @t23 @t21)) % 15.53/15.97 (define @t31 () (@var "V_u" $$unsorted)) % 15.53/15.97 (define @t32 () (not (tptp.c_Natural_Oevalc @t17 @t5 @t31))) % 15.53/15.97 (define @t33 () (or (= @t31 @t3) @t32 @t19)) % 15.53/15.97 (define @t34 () (@list @t31 @t3 @t17 @t5)) % 15.53/15.97 (define @t35 () (forall @t34 @t33)) % 15.53/15.97 (define @t36 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 15.53/15.97 (define @t37 () (not (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2))) % 15.53/15.97 (define @t38 () (or @t37 @t36)) % 15.53/15.97 (define @t39 () (@var "V_xa" $$unsorted)) % 15.53/15.97 (define @t40 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x tptp.v_xa)) % 15.53/15.97 (define @t41 () (not @t40)) % 15.53/15.97 (define @t42 () (@var "V_Z_H" $$unsorted)) % 15.53/15.97 (define @t43 () (tptp.v_xb @t42)) % 15.53/15.97 (define @t44 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x @t43)) % 15.53/15.97 (define @t45 () (= @t42 tptp.v_xa)) % 15.53/15.97 (define @t46 () (or @t45 @t44)) % 15.53/15.97 (define @t47 () (@list @t42)) % 15.53/15.97 (define @t48 () (forall @t47 @t46)) % 15.53/15.97 (define @t49 () (not (= @t42 @t43))) % 15.53/15.97 (define @t50 () (or @t49 @t45)) % 15.53/15.97 (define @t51 () (forall @t47 @t50)) % 15.53/15.97 (define @t52 () (tptp.v_xb tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1)) % 15.53/15.97 (define @t53 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x @t52)) % 15.53/15.97 (define @t54 () (or (= tptp.v_xa tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1) @t53)) % 15.53/15.97 (define @t55 () (forall @t47 (or (= tptp.v_xa @t42) @t44))) % 15.53/15.97 (define @t56 () (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 tptp.v_xa)) % 15.53/15.97 (define @t57 () (or @t56 @t53)) % 15.53/15.97 (define @t58 () (@list false)) % 15.53/15.97 (define @t59 () (@list @t55)) % 15.53/15.97 (define @t60 () (tptp.v_xb tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)) % 15.53/15.97 (define @t61 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x @t60)) % 15.53/15.97 (define @t62 () (or (= tptp.v_xa tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2) @t61)) % 15.53/15.97 (define @t63 () (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 tptp.v_xa)) % 15.53/15.97 (define @t64 () (or @t63 @t61)) % 15.53/15.97 (define @t65 () (@list @t60)) % 15.53/15.97 (define @t66 () (tptp.v_xb @t60)) % 15.53/15.97 (define @t67 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x @t66)) % 15.53/15.97 (define @t68 () (= tptp.v_xa @t60)) % 15.53/15.97 (define @t69 () (or @t68 @t67)) % 15.53/15.97 (define @t70 () (= @t60 @t66)) % 15.53/15.97 (define @t71 () (not @t70)) % 15.53/15.97 (define @t72 () (or @t71 @t68)) % 15.53/15.97 (define @t73 () (not @t67)) % 15.53/15.97 (define @t74 () (not @t61)) % 15.53/15.97 (define @t75 () (or (= @t66 @t60) @t74 @t73)) % 15.53/15.97 (define @t76 () (forall @t34 (or (= @t3 @t31) @t32 @t19))) % 15.53/15.97 (define @t77 () (or @t70 @t74 @t73)) % 15.53/15.97 (define @t78 () (@list @t76)) % 15.53/15.97 (define @t79 () (not @t68)) % 15.53/15.97 (define @t80 () (not @t41)) % 15.53/15.97 (define @t81 () (= true false)) % 15.53/15.97 (define @t82 () (and @t41 @t68 @t61)) % 15.53/15.97 (define @t83 () (@list true false)) % 15.53/15.97 (define @t84 () (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1)) % 15.53/15.97 (define @t85 () (not @t84)) % 15.53/15.97 (define @t86 () (not true)) % 15.53/15.97 (define @t87 () (not @t63)) % 15.53/15.97 (define @t88 () (not @t56)) % 15.53/15.97 (define @t89 () (and @t85 @t56)) % 15.53/15.97 (define @t90 () (tptp.v_xb @t52)) % 15.53/15.97 (define @t91 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x @t90)) % 15.53/15.97 (define @t92 () (not @t91)) % 15.53/15.97 (define @t93 () (not @t53)) % 15.53/15.97 (define @t94 () (or (= @t90 @t52) @t93 @t92)) % 15.53/15.97 (define @t95 () (= @t52 @t90)) % 15.53/15.97 (define @t96 () (or @t95 @t93 @t92)) % 15.53/15.97 (define @t97 () (@list @t52)) % 15.53/15.97 (define @t98 () (= tptp.v_xa @t52)) % 15.53/15.97 (define @t99 () (not @t98)) % 15.53/15.97 (define @t100 () (and @t41 @t63 @t98 @t53)) % 15.53/15.97 (define @t101 () (or @t98 @t91)) % 15.53/15.97 (define @t102 () (not @t95)) % 15.53/15.97 (define @t103 () (or @t102 @t98)) % 15.53/15.97 (assume @p1 (forall (@list @t1 @t2) (= (tptp.c_Fun_Oid @t1 @t2) @t1))) % 15.53/15.97 (assume @p2 (forall (@list @t3 @t5 @t4) (or @t6 (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t5 @t4 @t3))))) % 15.53/15.97 (assume @p3 (forall (@list @t7 @t8 @t5 @t3) (or (tptp.c_Natural_Oevalc @t7 @t11 @t3) @t10))) % 15.53/15.97 (assume @p4 (forall (@list @t8 @t5 @t7 @t3) (or (tptp.c_Natural_Oevalc @t8 @t5 @t11) @t10))) % 15.53/15.97 (assume @p5 (forall (@list @t14 @t8 @t13 @t4 @t15 @t12) (or (tptp.c_Natural_Oevaln @t16 @t13 @t4 @t15) (not (tptp.c_Natural_Oevaln @t8 @t12 @t4 @t15)) (not (tptp.c_Natural_Oevaln @t14 @t13 @t4 @t12))))) % 15.53/15.97 (assume @p6 (forall @t20 (or (tptp.c_Natural_Oevaln @t17 @t5 (tptp.c_Natural_Osko__Natural__Xeval__eq__1__1 @t17 @t5 @t3) @t3) @t19))) % 15.53/15.97 (assume @p7 (forall @t27 (or @t26 (= @t22 @t21)))) % 15.53/15.97 (assume @p8 (forall @t27 (or @t26 (= @t25 @t23)))) % 15.53/15.97 (assume @p9 (forall (@list @t7 @t8 @t4 @t5 @t3) (or (tptp.c_Natural_Oevaln @t7 @t29 @t4 @t3) @t28))) % 15.53/15.97 (assume @p10 (forall (@list @t8 @t5 @t4 @t7 @t3) (or (tptp.c_Natural_Oevaln @t8 @t5 @t4 @t29) @t28))) % 15.53/15.97 (assume @p11 (forall (@list @t5 @t4) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t5 @t4 @t5))) % 15.53/15.97 (assume @p12 (forall @t30 (not (= @t24 tptp.c_Com_Ocom_OSKIP)))) % 15.53/15.97 (assume @p13 (forall @t20 (or (tptp.c_Natural_Oevaln @t17 @t5 (tptp.c_Natural_Osko__Natural__Xevalc__evaln__1__1 @t17 @t5 @t3) @t3) @t19))) % 15.53/15.97 (assume @p14 (forall @t30 (not (= tptp.c_Com_Ocom_OSKIP @t24)))) % 15.53/15.97 (assume @p15 @t35) % 15.53/15.97 (assume @p16 (forall (@list @t5) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t5 @t5))) % 15.53/15.97 (assume @p17 (= (tptp.c_Fun_Oid tptp.v_x tptp.t_a) tptp.v_x)) % 15.53/15.97 (assume @p18 @t38) % 15.53/15.97 (assume @p19 (forall (@list @t1 @t39) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton (= @t1 @t39)))) % 15.53/15.97 (assume @p20 (forall (@list @t3) (or (not (= (tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @t3) @t3)) @t36))) % 15.53/15.97 (assume @p21 (forall (@list @t14 @t8 @t13 @t15 @t12) (or (tptp.c_Natural_Oevalc @t16 @t13 @t15) (not (tptp.c_Natural_Oevalc @t8 @t12 @t15)) (not (tptp.c_Natural_Oevalc @t14 @t13 @t12))))) % 15.53/15.97 (assume @p22 (or (not (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2)) @t36)) % 15.53/15.97 (assume @p23 (forall (@list @t3 @t5) (or @t6 (not (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t5 @t3))))) % 15.53/15.97 (assume @p24 (forall (@list @t17 @t5 @t3 @t4) (or @t18 (not (tptp.c_Natural_Oevaln @t17 @t5 @t4 @t3))))) % 15.53/15.97 (assume @p25 (forall (@list @t17 @t5 @t3 @t1) (or @t18 (not (tptp.c_Natural_Oevaln @t17 @t5 @t1 @t3))))) % 15.53/15.97 (assume @p26 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 15.53/15.97 (assume @p27 @t41) % 15.53/15.97 (assume @p28 @t48) % 15.53/15.97 (assume @p29 @t51) % 15.53/15.97 (step @p30 :rule refl :args (@t44)) % 15.53/15.97 (step @p31 :rule eq-symm :args (@t42 tptp.v_xa)) % 15.53/15.97 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t46)) % 15.53/15.97 (step @p33 :rule cong :premises (@p32) :args (@t48)) % 15.53/15.97 (step @p34 :rule eq_resolve :premises (@p28 @p33)) % 15.53/15.97 (step @p35 :rule refl :args (@t53)) % 15.53/15.97 (step @p36 :rule eq-symm :args (tptp.v_xa tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1)) % 15.53/15.97 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t54)) % 15.53/15.97 (step @p38 :rule refl :args (@t55)) % 15.53/15.97 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t55 @t54))) % 15.53/15.97 (assume-push @p231 @t55) % 15.53/15.97 (step @p41 :rule instantiate :premises (@p34) :args ((@list tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1))) % 15.53/15.97 (step-pop @p232 :rule scope :premises (@p41)) % 15.53/15.97 (step @p42 :rule process_scope :premises (@p232) :args (@t54)) % 15.53/15.97 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 15.53/15.97 (step @p45 :rule implies_elim :premises (@p44)) % 15.53/15.97 (step @p46 :rule chain_m_resolution :premises (@p45 @p34) :args (@t57 @t58 @t59)) % 15.53/15.97 (step @p47 :rule refl :args (@t61)) % 15.53/15.97 (step @p48 :rule eq-symm :args (tptp.v_xa tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)) % 15.53/15.97 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t62)) % 15.53/15.97 (step @p50 :rule cong :premises (@p38 @p49) :args ((=> @t55 @t62))) % 15.53/15.97 (assume-push @p233 @t55) % 15.53/15.97 (step @p52 :rule instantiate :premises (@p34) :args ((@list tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2))) % 15.53/15.97 (step-pop @p234 :rule scope :premises (@p52)) % 15.53/15.97 (step @p53 :rule process_scope :premises (@p234) :args (@t62)) % 15.53/15.97 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 15.53/15.97 (step @p56 :rule implies_elim :premises (@p55)) % 15.53/15.97 (step @p57 :rule chain_m_resolution :premises (@p56 @p34) :args (@t64 @t58 @t59)) % 15.53/15.97 (step @p58 :rule instantiate :premises (@p34) :args (@t65)) % 15.53/15.97 (step @p59 :rule cnf_or_pos :args (@t69)) % 15.53/15.97 (step @p60 :rule reordering :premises (@p59) :args ((or @t68 @t67 (not @t69)))) % 15.53/15.97 (step @p61 :rule refl :args (@t49)) % 15.53/15.97 (step @p62 :rule nary_cong :premises (@p61 @p31) :args (@t50)) % 15.53/15.97 (step @p63 :rule cong :premises (@p62) :args (@t51)) % 15.53/15.97 (step @p64 :rule eq_resolve :premises (@p29 @p63)) % 15.53/15.97 (step @p65 :rule instantiate :premises (@p64) :args (@t65)) % 15.53/15.97 (step @p66 :rule cnf_or_pos :args (@t72)) % 15.53/15.97 (step @p67 :rule reordering :premises (@p66) :args ((or @t68 @t71 (not @t72)))) % 15.53/15.97 (step @p68 :rule refl :args (@t19)) % 15.53/15.97 (step @p69 :rule refl :args (@t32)) % 15.53/15.97 (step @p70 :rule eq-symm :args (@t31 @t3)) % 15.53/15.97 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68) :args (@t33)) % 15.53/15.97 (step @p72 :rule cong :premises (@p71) :args (@t35)) % 15.53/15.97 (step @p73 :rule eq_resolve :premises (@p15 @p72)) % 15.53/15.97 (step @p74 :rule refl :args (@t73)) % 15.53/15.97 (step @p75 :rule refl :args (@t74)) % 15.53/15.97 (step @p76 :rule eq-symm :args (@t66 @t60)) % 15.53/15.97 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74) :args (@t75)) % 15.53/15.97 (step @p78 :rule refl :args (@t76)) % 15.53/15.97 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t76 @t75))) % 15.53/15.97 (assume-push @p235 @t76) % 15.53/15.97 (step @p81 :rule instantiate :premises (@p73) :args ((@list @t60 @t66 tptp.v_c tptp.v_x))) % 15.53/15.97 (step-pop @p236 :rule scope :premises (@p81)) % 15.53/15.97 (step @p82 :rule process_scope :premises (@p236) :args (@t75)) % 15.53/15.97 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 15.53/15.97 (step @p85 :rule implies_elim :premises (@p84)) % 15.53/15.97 (step @p86 :rule chain_m_resolution :premises (@p85 @p73) :args (@t77 @t58 @t78)) % 15.53/15.97 (step @p87 :rule cnf_or_pos :args (@t77)) % 15.53/15.97 (step @p88 :rule reordering :premises (@p87) :args ((or @t74 @t70 @t73 (not @t77)))) % 15.53/15.97 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p67 @p65 @p60 @p58) :args ((or @t74 @t68) (@list false true false false false) (@list @t77 @t70 @t72 @t67 @t69))) % 15.53/15.97 (step @p90 :rule refl :args (@t79)) % 15.53/15.97 (step @p91 :rule bool-double-not-elim :args (@t40)) % 15.53/15.97 (step @p92 :rule nary_cong :premises (@p91 @p75 @p90) :args ((or @t80 @t74 @t79))) % 15.53/15.97 (assume-push @p237 @t41) % 15.53/15.97 (assume-push @p238 @t68) % 15.53/15.97 (assume-push @p239 @t61) % 15.53/15.97 (step @p96 :rule evaluate :args (@t81)) % 15.53/15.97 (step @p97 :rule false_intro :premises (@p27)) % 15.53/15.97 (step @p98 :rule symm :premises (@p238)) % 15.53/15.97 (step @p99 :rule refl :args (tptp.v_x)) % 15.53/15.97 (step @p100 :rule refl :args (tptp.v_c)) % 15.53/15.97 (step @p101 :rule cong :premises (@p100 @p99 @p98) :args (@t61)) % 15.53/15.97 (step @p102 :rule true_intro :premises (@p239)) % 15.53/15.97 (step @p103 :rule symm :premises (@p102)) % 15.53/15.97 (step @p104 :rule trans :premises (@p103 @p101 @p97)) % 15.53/15.97 (step @p105 false :rule eq_resolve :premises (@p104 @p96)) % 15.53/15.97 (step-pop @p240 :rule scope :premises (@p105)) % 15.53/15.97 (step-pop @p241 :rule scope :premises (@p240)) % 15.53/15.97 (step-pop @p242 :rule scope :premises (@p241)) % 15.53/15.97 (step @p106 :rule process_scope :premises (@p242) :args (false)) % 15.53/15.97 (assume-push @p243 @t41) % 15.53/15.97 (assume-push @p244 @t61) % 15.53/15.97 (assume-push @p245 @t68) % 15.53/15.97 (step @p113 :rule and_intro :premises (@p27 @p245 @p244)) % 15.53/15.97 (step-pop @p246 :rule scope :premises (@p113)) % 15.53/15.97 (step-pop @p247 :rule scope :premises (@p246)) % 15.53/15.97 (step-pop @p248 :rule scope :premises (@p247)) % 15.53/15.97 (step @p114 :rule process_scope :premises (@p248) :args (@t82)) % 15.53/15.97 (step @p118 :rule implies_elim :premises (@p114)) % 15.53/15.97 (step @p119 :rule resolution :premises (@p118 @p106) :args (true @t82)) % 15.53/15.97 (step @p120 :rule not_and :premises (@p119)) % 15.53/15.97 (step @p121 :rule eq_resolve :premises (@p120 @p92)) % 15.53/15.97 (step @p122 :rule chain_m_resolution :premises (@p121 @p27 @p89) :args (@t74 @t83 (@list @t40 @t68))) % 15.53/15.97 (step @p123 :rule cnf_or_pos :args (@t64)) % 15.53/15.97 (step @p124 :rule reordering :premises (@p123) :args ((or @t61 @t63 (not @t64)))) % 15.53/15.97 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p57) :args (@t63 @t83 (@list @t61 @t64))) % 15.53/15.97 (step @p126 :rule aci_norm :args ((= (or @t85 false) @t85))) % 15.53/15.97 (step @p127 :rule evaluate :args (@t86)) % 15.53/15.97 (step @p128 :rule refl :args (@t85)) % 15.53/15.97 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t85 @t86))) % 15.53/15.97 (step @p130 :rule trans :premises (@p129 @p126)) % 15.53/15.97 (step @p131 :rule bool-eq-true :args (tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 15.53/15.97 (step @p132 :rule symm :premises (@p131)) % 15.53/15.97 (step @p133 :rule eq_resolve :premises (@p26 @p132)) % 15.53/15.97 (step @p134 :rule cong :premises (@p133) :args (@t36)) % 15.53/15.97 (step @p135 :rule nary_cong :premises (@p128 @p134) :args ((or @t85 @t36))) % 15.53/15.97 (step @p136 :rule trans :premises (@p135 @p130)) % 15.53/15.97 (step @p137 :rule refl :args (@t36)) % 15.53/15.97 (step @p138 :rule eq-symm :args (tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)) % 15.53/15.97 (step @p139 :rule cong :premises (@p138) :args (@t37)) % 15.53/15.97 (step @p140 :rule nary_cong :premises (@p139 @p137) :args (@t38)) % 15.53/15.97 (step @p141 :rule trans :premises (@p140 @p136)) % 15.53/15.97 (step @p142 :rule eq_resolve :premises (@p18 @p141)) % 15.53/15.97 (step @p143 :rule refl :args (@t87)) % 15.53/15.97 (step @p144 :rule refl :args (@t88)) % 15.53/15.97 (step @p145 :rule bool-double-not-elim :args (@t84)) % 15.53/15.97 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143) :args ((or (not @t85) @t88 @t87))) % 15.53/15.97 (assume-push @p249 @t85) % 15.53/15.97 (assume-push @p250 @t56) % 15.53/15.97 (assume-push @p251 @t85) % 15.53/15.97 (assume-push @p252 @t56) % 15.53/15.97 (step @p151 :rule false_intro :premises (@p142)) % 15.53/15.97 (step @p152 :rule symm :premises (@p250)) % 15.53/15.97 (step @p153 :rule refl :args (tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)) % 15.53/15.97 (step @p154 :rule cong :premises (@p153 @p152) :args (@t63)) % 15.53/15.97 (step @p155 :rule trans :premises (@p154 @p151)) % 15.53/15.97 (step @p156 :rule false_elim :premises (@p155)) % 15.53/15.97 (step-pop @p253 :rule scope :premises (@p156)) % 15.53/15.97 (step-pop @p254 :rule scope :premises (@p253)) % 15.53/15.97 (step @p157 :rule process_scope :premises (@p254) :args (@t87)) % 15.53/15.97 (step @p160 :rule and_intro :premises (@p142 @p250)) % 15.53/15.97 (step @p161 :rule modus_ponens :premises (@p160 @p157)) % 15.53/15.97 (step-pop @p255 :rule scope :premises (@p161)) % 15.53/15.97 (step-pop @p256 :rule scope :premises (@p255)) % 15.53/15.97 (step @p162 :rule process_scope :premises (@p256) :args (@t87)) % 15.53/15.97 (step @p165 :rule implies_elim :premises (@p162)) % 15.53/15.97 (step @p166 :rule cnf_and_neg :args (@t89)) % 15.53/15.97 (step @p167 :rule resolution :premises (@p166 @p165) :args (true @t89)) % 15.53/15.97 (step @p168 :rule eq_resolve :premises (@p167 @p146)) % 15.53/15.97 (step @p169 :rule chain_m_resolution :premises (@p168 @p142 @p125) :args (@t88 @t83 (@list @t84 @t63))) % 15.53/15.97 (step @p170 :rule cnf_or_pos :args (@t57)) % 15.53/15.97 (step @p171 :rule reordering :premises (@p170) :args ((or @t53 @t56 (not @t57)))) % 15.53/15.97 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p46) :args (@t53 @t83 (@list @t56 @t57))) % 15.53/15.97 (step @p173 :rule refl :args (@t92)) % 15.53/15.97 (step @p174 :rule refl :args (@t93)) % 15.53/15.97 (step @p175 :rule eq-symm :args (@t90 @t52)) % 15.53/15.97 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173) :args (@t94)) % 15.53/15.97 (step @p177 :rule cong :premises (@p78 @p176) :args ((=> @t76 @t94))) % 15.53/15.97 (assume-push @p257 @t76) % 15.53/15.97 (step @p179 :rule instantiate :premises (@p73) :args ((@list @t52 @t90 tptp.v_c tptp.v_x))) % 15.53/15.97 (step-pop @p258 :rule scope :premises (@p179)) % 15.53/15.97 (step @p180 :rule process_scope :premises (@p258) :args (@t94)) % 15.53/15.97 (step @p182 :rule eq_resolve :premises (@p180 @p177)) % 15.53/15.97 (step @p183 :rule implies_elim :premises (@p182)) % 15.53/15.97 (step @p184 :rule chain_m_resolution :premises (@p183 @p73) :args (@t96 @t58 @t78)) % 15.53/15.97 (step @p185 :rule instantiate :premises (@p34) :args (@t97)) % 15.53/15.97 (step @p186 :rule refl :args (@t99)) % 15.53/15.97 (step @p187 :rule nary_cong :premises (@p91 @p174 @p143 @p186) :args ((or @t80 @t93 @t87 @t99))) % 15.53/15.97 (assume-push @p259 @t41) % 15.53/15.97 (assume-push @p260 @t63) % 15.53/15.97 (assume-push @p261 @t98) % 15.53/15.97 (assume-push @p262 @t53) % 15.53/15.97 (step @p96 :rule evaluate :args (@t81)) % 15.53/15.97 (step @p97 :rule false_intro :premises (@p27)) % 15.53/15.97 (step @p99 :rule refl :args (tptp.v_x)) % 15.53/15.97 (step @p100 :rule refl :args (tptp.v_c)) % 15.53/15.97 (step @p192 :rule cong :premises (@p100 @p99 @p260) :args ((tptp.c_Natural_Oevalc tptp.v_c tptp.v_x tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2))) % 15.53/15.97 (step @p193 :rule symm :premises (@p260)) % 15.53/15.97 (step @p194 :rule symm :premises (@p261)) % 15.53/15.97 (step @p195 :rule trans :premises (@p194 @p193)) % 15.53/15.97 (step @p196 :rule cong :premises (@p100 @p99 @p195) :args (@t53)) % 15.53/15.97 (step @p197 :rule true_intro :premises (@p262)) % 15.53/15.97 (step @p198 :rule symm :premises (@p197)) % 15.53/15.97 (step @p199 :rule trans :premises (@p198 @p196 @p192 @p97)) % 15.53/15.97 (step @p200 false :rule eq_resolve :premises (@p199 @p96)) % 15.53/15.97 (step-pop @p263 :rule scope :premises (@p200)) % 15.53/15.97 (step-pop @p264 :rule scope :premises (@p263)) % 15.53/15.97 (step-pop @p265 :rule scope :premises (@p264)) % 15.53/15.97 (step-pop @p266 :rule scope :premises (@p265)) % 15.53/15.97 (step @p201 :rule process_scope :premises (@p266) :args (false)) % 15.53/15.97 (assume-push @p267 @t41) % 15.53/15.97 (assume-push @p268 @t53) % 15.53/15.97 (assume-push @p269 @t63) % 15.53/15.97 (assume-push @p270 @t98) % 15.53/15.97 (step @p210 :rule and_intro :premises (@p27 @p269 @p270 @p268)) % 15.53/15.97 (step-pop @p271 :rule scope :premises (@p210)) % 15.53/15.97 (step-pop @p272 :rule scope :premises (@p271)) % 15.53/15.97 (step-pop @p273 :rule scope :premises (@p272)) % 15.53/15.97 (step-pop @p274 :rule scope :premises (@p273)) % 15.53/15.97 (step @p211 :rule process_scope :premises (@p274) :args (@t100)) % 15.53/15.97 (step @p216 :rule implies_elim :premises (@p211)) % 15.53/15.97 (step @p217 :rule resolution :premises (@p216 @p201) :args (true @t100)) % 15.53/15.97 (step @p218 :rule not_and :premises (@p217)) % 15.53/15.97 (step @p219 :rule eq_resolve :premises (@p218 @p187)) % 15.53/15.97 (step @p220 :rule chain_m_resolution :premises (@p219 @p27 @p172 @p125) :args (@t99 (@list true false false) (@list @t40 @t53 @t63))) % 15.53/15.97 (step @p221 :rule cnf_or_pos :args (@t101)) % 15.53/15.97 (step @p222 :rule reordering :premises (@p221) :args ((or @t98 @t91 (not @t101)))) % 15.53/15.97 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p185) :args (@t91 @t83 (@list @t98 @t101))) % 15.53/15.97 (step @p224 :rule instantiate :premises (@p64) :args (@t97)) % 15.53/15.97 (step @p225 :rule cnf_or_pos :args (@t103)) % 15.53/15.97 (step @p226 :rule reordering :premises (@p225) :args ((or @t98 @t102 (not @t103)))) % 15.53/15.97 (step @p227 :rule chain_m_resolution :premises (@p226 @p220 @p224) :args (@t102 @t83 (@list @t98 @t103))) % 15.53/15.97 (step @p228 :rule cnf_or_pos :args (@t96)) % 15.53/15.97 (step @p229 :rule reordering :premises (@p228) :args ((or @t93 @t95 @t92 (not @t96)))) % 15.53/15.97 (step @p230 false :rule chain_m_resolution :premises (@p229 @p227 @p223 @p184 @p172) :args (false (@list true false false false) (@list @t95 @t91 @t96 @t53))) % 15.53/15.97 ) % 15.53/15.97 % SZS output end Proof % 15.53/15.97 % cvc5 exiting %------------------------------------------------------------------------------