%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV865-1 : 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 : n024.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 15.35s 15.90s % Output : Proof 15.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV865-1 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 16:18:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.31/15.53 --- Run --no-e-matching --full-saturate-quant at 6... % 15.35/15.90 % SZS status Unsatisfiable % 15.35/15.90 % SZS output start Proof % 15.35/15.90 ( % 15.35/15.90 (declare-sort $$unsorted 0) % 15.35/15.90 (declare-const tptp.v_c $$unsorted) % 15.35/15.90 (declare-const tptp.v_Z $$unsorted) % 15.35/15.90 (declare-const tptp.v_s_H $$unsorted) % 15.35/15.90 (declare-const tptp.v_Z_H (-> $$unsorted $$unsorted)) % 15.35/15.90 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 $$unsorted) % 15.35/15.90 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 $$unsorted) % 15.35/15.90 (declare-const tptp.v_s $$unsorted) % 15.35/15.90 (declare-const tptp.t_a $$unsorted) % 15.35/15.90 (declare-const tptp.c_Com_Ocom_OSKIP $$unsorted) % 15.35/15.90 (declare-const tptp.c_Natural_Oevaln (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 15.35/15.90 (declare-const tptp.c_Natural_Osko__Natural__Xeval__eq__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.35/15.90 (declare-const tptp.c_Com_Ocom_OSemi (-> $$unsorted $$unsorted $$unsorted)) % 15.35/15.90 (declare-const tptp.c_Natural_Oevalc (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.35/15.90 (declare-const tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.35/15.90 (declare-const tptp.v_x $$unsorted) % 15.35/15.90 (declare-const tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.35/15.90 (declare-const tptp.c_Hoare__Mirabelle_Ostate__not__singleton Bool) % 15.35/15.90 (declare-const tptp.c_Natural_Osko__Natural__Xevalc__evaln__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.35/15.90 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 15.35/15.90 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 $$unsorted) % 15.35/15.90 (declare-const tptp.c_Code__Evaluation_Otracing (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.35/15.90 (declare-const tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 (-> $$unsorted $$unsorted)) % 15.35/15.90 (declare-const tptp.v_t $$unsorted) % 15.35/15.90 (declare-const tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 $$unsorted) % 15.35/15.90 (define @t1 () (@var "V_t" $$unsorted)) % 15.35/15.90 (define @t2 () (@var "V_n" $$unsorted)) % 15.35/15.90 (define @t3 () (@var "V_s" $$unsorted)) % 15.35/15.90 (define @t4 () (= @t1 @t3)) % 15.35/15.90 (define @t5 () (@var "V_c2" $$unsorted)) % 15.35/15.90 (define @t6 () (@var "V_c1" $$unsorted)) % 15.35/15.90 (define @t7 () (tptp.c_Com_Ocom_OSemi @t6 @t5)) % 15.35/15.90 (define @t8 () (not (tptp.c_Natural_Oevalc @t7 @t3 @t1))) % 15.35/15.90 (define @t9 () (tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 @t6 @t5 @t3 @t1)) % 15.35/15.90 (define @t10 () (@var "V_s1" $$unsorted)) % 15.35/15.90 (define @t11 () (@var "V_s0" $$unsorted)) % 15.35/15.90 (define @t12 () (@var "V_c0" $$unsorted)) % 15.35/15.90 (define @t13 () (@var "V_s2" $$unsorted)) % 15.35/15.90 (define @t14 () (tptp.c_Com_Ocom_OSemi @t12 @t6)) % 15.35/15.90 (define @t15 () (@var "V_c" $$unsorted)) % 15.35/15.90 (define @t16 () (tptp.c_Natural_Oevalc @t15 @t3 @t1)) % 15.35/15.90 (define @t17 () (not @t16)) % 15.35/15.90 (define @t18 () (@list @t15 @t3 @t1)) % 15.35/15.90 (define @t19 () (@var "V_com2_H" $$unsorted)) % 15.35/15.90 (define @t20 () (@var "V_com2" $$unsorted)) % 15.35/15.90 (define @t21 () (@var "V_com1_H" $$unsorted)) % 15.35/15.90 (define @t22 () (tptp.c_Com_Ocom_OSemi @t21 @t19)) % 15.35/15.90 (define @t23 () (@var "V_com1" $$unsorted)) % 15.35/15.90 (define @t24 () (not (= (tptp.c_Com_Ocom_OSemi @t23 @t20) @t22))) % 15.35/15.90 (define @t25 () (@list @t23 @t20 @t21 @t19)) % 15.35/15.90 (define @t26 () (@var "V_x" $$unsorted)) % 15.35/15.90 (define @t27 () (@var "T_a" $$unsorted)) % 15.35/15.90 (define @t28 () (tptp.c_Code__Evaluation_Otracing @t3 @t26 @t27)) % 15.35/15.90 (define @t29 () (forall (@list @t3 @t26 @t27) (= @t28 @t26))) % 15.35/15.90 (define @t30 () (not (tptp.c_Natural_Oevaln @t7 @t3 @t2 @t1))) % 15.35/15.90 (define @t31 () (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 @t6 @t5 @t2 @t3 @t1)) % 15.35/15.90 (define @t32 () (@list @t21 @t19)) % 15.35/15.90 (define @t33 () (@var "V_u" $$unsorted)) % 15.35/15.90 (define @t34 () (not (tptp.c_Natural_Oevalc @t15 @t3 @t33))) % 15.35/15.90 (define @t35 () (or (= @t33 @t1) @t34 @t17)) % 15.35/15.90 (define @t36 () (@list @t33 @t1 @t15 @t3)) % 15.35/15.90 (define @t37 () (forall @t36 @t35)) % 15.35/15.90 (define @t38 () (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 15.35/15.90 (define @t39 () (not (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2))) % 15.35/15.90 (define @t40 () (or @t39 @t38)) % 15.35/15.90 (define @t41 () (@var "V_xa" $$unsorted)) % 15.35/15.90 (define @t42 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_Z tptp.v_s_H)) % 15.35/15.90 (define @t43 () (not @t42)) % 15.35/15.90 (define @t44 () (@var "V_Z_Ha" $$unsorted)) % 15.35/15.90 (define @t45 () (tptp.v_Z_H @t44)) % 15.35/15.90 (define @t46 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_Z @t45)) % 15.35/15.90 (define @t47 () (= @t44 tptp.v_s_H)) % 15.35/15.90 (define @t48 () (or @t47 @t46)) % 15.35/15.90 (define @t49 () (@list @t44)) % 15.35/15.90 (define @t50 () (forall @t49 @t48)) % 15.35/15.90 (define @t51 () (not (= @t44 @t45))) % 15.35/15.90 (define @t52 () (or @t51 @t47)) % 15.35/15.90 (define @t53 () (forall @t49 @t52)) % 15.35/15.90 (define @t54 () (tptp.v_Z_H tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1)) % 15.35/15.90 (define @t55 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_Z @t54)) % 15.35/15.90 (define @t56 () (or (= tptp.v_s_H tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1) @t55)) % 15.35/15.90 (define @t57 () (forall @t49 (or (= tptp.v_s_H @t44) @t46))) % 15.35/15.90 (define @t58 () (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 tptp.v_s_H)) % 15.35/15.90 (define @t59 () (or @t58 @t55)) % 15.35/15.90 (define @t60 () (@list false)) % 15.35/15.90 (define @t61 () (@list @t57)) % 15.35/15.90 (define @t62 () (tptp.v_Z_H tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)) % 15.35/15.90 (define @t63 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_Z @t62)) % 15.35/15.90 (define @t64 () (or (= tptp.v_s_H tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2) @t63)) % 15.35/15.90 (define @t65 () (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 tptp.v_s_H)) % 15.35/15.90 (define @t66 () (or @t65 @t63)) % 15.35/15.90 (define @t67 () (@list @t62)) % 15.35/15.90 (define @t68 () (tptp.v_Z_H @t62)) % 15.35/15.90 (define @t69 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_Z @t68)) % 15.35/15.90 (define @t70 () (= tptp.v_s_H @t62)) % 15.35/15.90 (define @t71 () (or @t70 @t69)) % 15.35/15.90 (define @t72 () (= @t62 @t68)) % 15.35/15.90 (define @t73 () (not @t72)) % 15.35/15.90 (define @t74 () (or @t73 @t70)) % 15.35/15.90 (define @t75 () (not @t69)) % 15.35/15.90 (define @t76 () (not @t63)) % 15.35/15.90 (define @t77 () (or (= @t68 @t62) @t76 @t75)) % 15.35/15.90 (define @t78 () (forall @t36 (or (= @t1 @t33) @t34 @t17))) % 15.35/15.90 (define @t79 () (or @t72 @t76 @t75)) % 15.35/15.90 (define @t80 () (@list @t78)) % 15.35/15.90 (define @t81 () (not @t70)) % 15.35/15.90 (define @t82 () (not @t43)) % 15.35/15.90 (define @t83 () (= true false)) % 15.35/15.90 (define @t84 () (and @t43 @t70 @t63)) % 15.35/15.90 (define @t85 () (@list true false)) % 15.35/15.90 (define @t86 () (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1)) % 15.35/15.90 (define @t87 () (not @t86)) % 15.35/15.90 (define @t88 () (not true)) % 15.35/15.90 (define @t89 () (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 (tptp.c_Code__Evaluation_Otracing tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1))) % 15.35/15.90 (define @t90 () (not @t89)) % 15.35/15.90 (define @t91 () (not @t65)) % 15.35/15.90 (define @t92 () (not @t58)) % 15.35/15.90 (define @t93 () (and @t89 @t65 @t58 @t87)) % 15.35/15.90 (define @t94 () (tptp.v_Z_H @t54)) % 15.35/15.90 (define @t95 () (tptp.c_Natural_Oevalc tptp.v_c tptp.v_Z @t94)) % 15.35/15.90 (define @t96 () (not @t95)) % 15.35/15.90 (define @t97 () (not @t55)) % 15.35/15.90 (define @t98 () (or (= @t94 @t54) @t97 @t96)) % 15.35/15.90 (define @t99 () (= @t54 @t94)) % 15.35/15.90 (define @t100 () (or @t99 @t97 @t96)) % 15.35/15.90 (define @t101 () (@list @t54)) % 15.35/15.90 (define @t102 () (= tptp.v_s_H @t54)) % 15.35/15.90 (define @t103 () (not @t102)) % 15.35/15.90 (define @t104 () (and @t43 @t102 @t55)) % 15.35/15.90 (define @t105 () (or @t102 @t95)) % 15.35/15.90 (define @t106 () (not @t99)) % 15.35/15.90 (define @t107 () (or @t106 @t102)) % 15.35/15.90 (assume @p1 (forall (@list @t1 @t3 @t2) (or @t4 (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t3 @t2 @t1))))) % 15.35/15.90 (assume @p2 (forall (@list @t5 @t6 @t3 @t1) (or (tptp.c_Natural_Oevalc @t5 @t9 @t1) @t8))) % 15.35/15.90 (assume @p3 (forall (@list @t6 @t3 @t5 @t1) (or (tptp.c_Natural_Oevalc @t6 @t3 @t9) @t8))) % 15.35/15.90 (assume @p4 (forall (@list @t12 @t6 @t11 @t2 @t13 @t10) (or (tptp.c_Natural_Oevaln @t14 @t11 @t2 @t13) (not (tptp.c_Natural_Oevaln @t6 @t10 @t2 @t13)) (not (tptp.c_Natural_Oevaln @t12 @t11 @t2 @t10))))) % 15.35/15.90 (assume @p5 (forall @t18 (or (tptp.c_Natural_Oevaln @t15 @t3 (tptp.c_Natural_Osko__Natural__Xeval__eq__1__1 @t15 @t3 @t1) @t1) @t17))) % 15.35/15.90 (assume @p6 (forall @t25 (or @t24 (= @t20 @t19)))) % 15.35/15.90 (assume @p7 (forall @t25 (or @t24 (= @t23 @t21)))) % 15.35/15.90 (assume @p8 @t29) % 15.35/15.90 (assume @p9 (forall (@list @t5 @t6 @t2 @t3 @t1) (or (tptp.c_Natural_Oevaln @t5 @t31 @t2 @t1) @t30))) % 15.35/15.90 (assume @p10 (forall (@list @t6 @t3 @t2 @t5 @t1) (or (tptp.c_Natural_Oevaln @t6 @t3 @t2 @t31) @t30))) % 15.35/15.90 (assume @p11 (forall (@list @t3 @t2) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP @t3 @t2 @t3))) % 15.35/15.90 (assume @p12 (forall @t32 (not (= @t22 tptp.c_Com_Ocom_OSKIP)))) % 15.35/15.90 (assume @p13 (forall @t18 (or (tptp.c_Natural_Oevaln @t15 @t3 (tptp.c_Natural_Osko__Natural__Xevalc__evaln__1__1 @t15 @t3 @t1) @t1) @t17))) % 15.35/15.90 (assume @p14 (forall @t32 (not (= tptp.c_Com_Ocom_OSKIP @t22)))) % 15.35/15.90 (assume @p15 @t37) % 15.35/15.90 (assume @p16 (forall (@list @t3) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t3 @t3))) % 15.35/15.90 (assume @p17 @t40) % 15.35/15.90 (assume @p18 (forall (@list @t26 @t41) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton (= @t26 @t41)))) % 15.35/15.90 (assume @p19 (forall (@list @t1) (or (not (= (tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 @t1) @t1)) @t38))) % 15.35/15.90 (assume @p20 (= (tptp.c_Code__Evaluation_Otracing tptp.v_s tptp.v_x tptp.t_a) tptp.v_x)) % 15.35/15.90 (assume @p21 (forall (@list @t12 @t6 @t11 @t13 @t10) (or (tptp.c_Natural_Oevalc @t14 @t11 @t13) (not (tptp.c_Natural_Oevalc @t6 @t10 @t13)) (not (tptp.c_Natural_Oevalc @t12 @t11 @t10))))) % 15.35/15.90 (assume @p22 (or (not (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2)) @t38)) % 15.35/15.90 (assume @p23 (forall (@list @t1 @t3) (or @t4 (not (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP @t3 @t1))))) % 15.35/15.90 (assume @p24 (forall (@list @t15 @t3 @t1 @t2) (or @t16 (not (tptp.c_Natural_Oevaln @t15 @t3 @t2 @t1))))) % 15.35/15.90 (assume @p25 (forall (@list @t15 @t3 @t1 @t26) (or @t16 (not (tptp.c_Natural_Oevaln @t15 @t3 @t26 @t1))))) % 15.35/15.90 (assume @p26 tptp.c_Hoare__Mirabelle_Ostate__not__singleton) % 15.35/15.90 (assume @p27 @t43) % 15.35/15.90 (assume @p28 (tptp.c_Natural_Oevalc tptp.v_c (tptp.hAPP (tptp.hAPP tptp.v_s tptp.v_Z) tptp.v_s_H) tptp.v_t)) % 15.35/15.90 (assume @p29 @t50) % 15.35/15.90 (assume @p30 @t53) % 15.35/15.90 (step @p31 :rule refl :args (@t46)) % 15.35/15.90 (step @p32 :rule eq-symm :args (@t44 tptp.v_s_H)) % 15.35/15.90 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t48)) % 15.35/15.90 (step @p34 :rule cong :premises (@p33) :args (@t50)) % 15.35/15.90 (step @p35 :rule eq_resolve :premises (@p29 @p34)) % 15.35/15.90 (step @p36 :rule refl :args (@t55)) % 15.35/15.90 (step @p37 :rule eq-symm :args (tptp.v_s_H tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1)) % 15.35/15.90 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t56)) % 15.35/15.90 (step @p39 :rule refl :args (@t57)) % 15.35/15.90 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t57 @t56))) % 15.35/15.90 (assume-push @p241 @t57) % 15.35/15.90 (step @p42 :rule instantiate :premises (@p35) :args ((@list tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1))) % 15.35/15.90 (step-pop @p242 :rule scope :premises (@p42)) % 15.35/15.90 (step @p43 :rule process_scope :premises (@p242) :args (@t56)) % 15.35/15.90 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 15.35/15.90 (step @p46 :rule implies_elim :premises (@p45)) % 15.35/15.90 (step @p47 :rule chain_m_resolution :premises (@p46 @p35) :args (@t59 @t60 @t61)) % 15.35/15.90 (step @p48 :rule eq-symm :args (@t28 @t26)) % 15.35/15.90 (step @p49 :rule cong :premises (@p48) :args (@t29)) % 15.35/15.90 (step @p50 :rule eq_resolve :premises (@p8 @p49)) % 15.35/15.90 (step @p51 :rule instantiate :premises (@p50) :args ((@list tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1))) % 15.35/15.90 (step @p52 :rule refl :args (@t63)) % 15.35/15.90 (step @p53 :rule eq-symm :args (tptp.v_s_H tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)) % 15.35/15.90 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t64)) % 15.35/15.90 (step @p55 :rule cong :premises (@p39 @p54) :args ((=> @t57 @t64))) % 15.35/15.90 (assume-push @p243 @t57) % 15.35/15.90 (step @p57 :rule instantiate :premises (@p35) :args ((@list tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2))) % 15.35/15.90 (step-pop @p244 :rule scope :premises (@p57)) % 15.35/15.90 (step @p58 :rule process_scope :premises (@p244) :args (@t64)) % 15.35/15.90 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 15.35/15.90 (step @p61 :rule implies_elim :premises (@p60)) % 15.35/15.90 (step @p62 :rule chain_m_resolution :premises (@p61 @p35) :args (@t66 @t60 @t61)) % 15.35/15.90 (step @p63 :rule instantiate :premises (@p35) :args (@t67)) % 15.35/15.90 (step @p64 :rule cnf_or_pos :args (@t71)) % 15.35/15.90 (step @p65 :rule reordering :premises (@p64) :args ((or @t70 @t69 (not @t71)))) % 15.35/15.90 (step @p66 :rule refl :args (@t51)) % 15.35/15.90 (step @p67 :rule nary_cong :premises (@p66 @p32) :args (@t52)) % 15.35/15.90 (step @p68 :rule cong :premises (@p67) :args (@t53)) % 15.35/15.90 (step @p69 :rule eq_resolve :premises (@p30 @p68)) % 15.35/15.90 (step @p70 :rule instantiate :premises (@p69) :args (@t67)) % 15.35/15.90 (step @p71 :rule cnf_or_pos :args (@t74)) % 15.35/15.90 (step @p72 :rule reordering :premises (@p71) :args ((or @t70 @t73 (not @t74)))) % 15.35/15.90 (step @p73 :rule refl :args (@t17)) % 15.35/15.90 (step @p74 :rule refl :args (@t34)) % 15.35/15.90 (step @p75 :rule eq-symm :args (@t33 @t1)) % 15.35/15.90 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73) :args (@t35)) % 15.35/15.90 (step @p77 :rule cong :premises (@p76) :args (@t37)) % 15.35/15.90 (step @p78 :rule eq_resolve :premises (@p15 @p77)) % 15.35/15.90 (step @p79 :rule refl :args (@t75)) % 15.35/15.90 (step @p80 :rule refl :args (@t76)) % 15.35/15.90 (step @p81 :rule eq-symm :args (@t68 @t62)) % 15.35/15.90 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79) :args (@t77)) % 15.35/15.90 (step @p83 :rule refl :args (@t78)) % 15.35/15.90 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t78 @t77))) % 15.35/15.90 (assume-push @p245 @t78) % 15.35/15.90 (step @p86 :rule instantiate :premises (@p78) :args ((@list @t62 @t68 tptp.v_c tptp.v_Z))) % 15.35/15.90 (step-pop @p246 :rule scope :premises (@p86)) % 15.35/15.90 (step @p87 :rule process_scope :premises (@p246) :args (@t77)) % 15.35/15.90 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 15.35/15.90 (step @p90 :rule implies_elim :premises (@p89)) % 15.35/15.90 (step @p91 :rule chain_m_resolution :premises (@p90 @p78) :args (@t79 @t60 @t80)) % 15.35/15.90 (step @p92 :rule cnf_or_pos :args (@t79)) % 15.35/15.90 (step @p93 :rule reordering :premises (@p92) :args ((or @t76 @t72 @t75 (not @t79)))) % 15.35/15.90 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p72 @p70 @p65 @p63) :args ((or @t76 @t70) (@list false true false false false) (@list @t79 @t72 @t74 @t69 @t71))) % 15.35/15.90 (step @p95 :rule refl :args (@t81)) % 15.35/15.90 (step @p96 :rule bool-double-not-elim :args (@t42)) % 15.35/15.90 (step @p97 :rule nary_cong :premises (@p96 @p80 @p95) :args ((or @t82 @t76 @t81))) % 15.35/15.90 (assume-push @p247 @t43) % 15.35/15.90 (assume-push @p248 @t70) % 15.35/15.90 (assume-push @p249 @t63) % 15.35/15.90 (step @p101 :rule evaluate :args (@t83)) % 15.35/15.90 (step @p102 :rule false_intro :premises (@p27)) % 15.35/15.90 (step @p103 :rule symm :premises (@p248)) % 15.35/15.90 (step @p104 :rule refl :args (tptp.v_Z)) % 15.35/15.90 (step @p105 :rule refl :args (tptp.v_c)) % 15.35/15.90 (step @p106 :rule cong :premises (@p105 @p104 @p103) :args (@t63)) % 15.35/15.90 (step @p107 :rule true_intro :premises (@p249)) % 15.35/15.90 (step @p108 :rule symm :premises (@p107)) % 15.35/15.90 (step @p109 :rule trans :premises (@p108 @p106 @p102)) % 15.35/15.90 (step @p110 false :rule eq_resolve :premises (@p109 @p101)) % 15.35/15.90 (step-pop @p250 :rule scope :premises (@p110)) % 15.35/15.90 (step-pop @p251 :rule scope :premises (@p250)) % 15.35/15.90 (step-pop @p252 :rule scope :premises (@p251)) % 15.35/15.90 (step @p111 :rule process_scope :premises (@p252) :args (false)) % 15.35/15.90 (assume-push @p253 @t43) % 15.35/15.90 (assume-push @p254 @t63) % 15.35/15.90 (assume-push @p255 @t70) % 15.35/15.90 (step @p118 :rule and_intro :premises (@p27 @p255 @p254)) % 15.35/15.90 (step-pop @p256 :rule scope :premises (@p118)) % 15.35/15.90 (step-pop @p257 :rule scope :premises (@p256)) % 15.35/15.90 (step-pop @p258 :rule scope :premises (@p257)) % 15.35/15.90 (step @p119 :rule process_scope :premises (@p258) :args (@t84)) % 15.35/15.90 (step @p123 :rule implies_elim :premises (@p119)) % 15.35/15.90 (step @p124 :rule resolution :premises (@p123 @p111) :args (true @t84)) % 15.35/15.90 (step @p125 :rule not_and :premises (@p124)) % 15.35/15.90 (step @p126 :rule eq_resolve :premises (@p125 @p97)) % 15.35/15.90 (step @p127 :rule chain_m_resolution :premises (@p126 @p27 @p94) :args (@t76 @t85 (@list @t42 @t70))) % 15.35/15.90 (step @p128 :rule cnf_or_pos :args (@t66)) % 15.35/15.90 (step @p129 :rule reordering :premises (@p128) :args ((or @t63 @t65 (not @t66)))) % 15.35/15.90 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p62) :args (@t65 @t85 (@list @t63 @t66))) % 15.35/15.90 (step @p131 :rule aci_norm :args ((= (or @t87 false) @t87))) % 15.35/15.90 (step @p132 :rule evaluate :args (@t88)) % 15.35/15.90 (step @p133 :rule refl :args (@t87)) % 15.35/15.90 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t87 @t88))) % 15.35/15.90 (step @p135 :rule trans :premises (@p134 @p131)) % 15.35/15.90 (step @p136 :rule bool-eq-true :args (tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) % 15.35/15.90 (step @p137 :rule symm :premises (@p136)) % 15.35/15.90 (step @p138 :rule eq_resolve :premises (@p26 @p137)) % 15.35/15.90 (step @p139 :rule cong :premises (@p138) :args (@t38)) % 15.35/15.90 (step @p140 :rule nary_cong :premises (@p133 @p139) :args ((or @t87 @t38))) % 15.35/15.90 (step @p141 :rule trans :premises (@p140 @p135)) % 15.35/15.90 (step @p142 :rule refl :args (@t38)) % 15.35/15.90 (step @p143 :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)) % 15.35/15.90 (step @p144 :rule cong :premises (@p143) :args (@t39)) % 15.35/15.90 (step @p145 :rule nary_cong :premises (@p144 @p142) :args (@t40)) % 15.35/15.90 (step @p146 :rule trans :premises (@p145 @p141)) % 15.35/15.90 (step @p147 :rule eq_resolve :premises (@p17 @p146)) % 15.35/15.90 (step @p148 :rule refl :args (@t90)) % 15.35/15.90 (step @p149 :rule refl :args (@t91)) % 15.35/15.90 (step @p150 :rule refl :args (@t92)) % 15.35/15.90 (step @p151 :rule bool-double-not-elim :args (@t86)) % 15.35/15.90 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149 @p148) :args ((or (not @t87) @t92 @t91 @t90))) % 15.35/15.90 (assume-push @p259 @t89) % 15.35/15.90 (assume-push @p260 @t65) % 15.35/15.90 (assume-push @p261 @t58) % 15.35/15.90 (assume-push @p262 @t87) % 15.35/15.90 (step @p157 :rule evaluate :args ((= false true))) % 15.35/15.90 (step @p158 :rule symm :premises (@p260)) % 15.35/15.90 (step @p159 :rule trans :premises (@p261 @p158 @p51)) % 15.35/15.90 (step @p160 :rule symm :premises (@p159)) % 15.35/15.90 (step @p161 :rule trans :premises (@p51 @p160)) % 15.35/15.90 (step @p162 :rule true_intro :premises (@p161)) % 15.35/15.90 (step @p163 :rule false_intro :premises (@p147)) % 15.35/15.90 (step @p164 :rule symm :premises (@p163)) % 15.35/15.90 (step @p165 :rule trans :premises (@p164 @p162)) % 15.35/15.90 (step @p166 false :rule eq_resolve :premises (@p165 @p157)) % 15.35/15.90 (step-pop @p263 :rule scope :premises (@p166)) % 15.35/15.90 (step-pop @p264 :rule scope :premises (@p263)) % 15.35/15.90 (step-pop @p265 :rule scope :premises (@p264)) % 15.35/15.90 (step-pop @p266 :rule scope :premises (@p265)) % 15.35/15.90 (step @p167 :rule process_scope :premises (@p266) :args (false)) % 15.35/15.90 (assume-push @p267 @t87) % 15.35/15.90 (assume-push @p268 @t58) % 15.35/15.90 (assume-push @p269 @t65) % 15.35/15.90 (assume-push @p270 @t89) % 15.35/15.90 (step @p176 :rule and_intro :premises (@p51 @p269 @p268 @p147)) % 15.35/15.90 (step-pop @p271 :rule scope :premises (@p176)) % 15.35/15.90 (step-pop @p272 :rule scope :premises (@p271)) % 15.35/15.90 (step-pop @p273 :rule scope :premises (@p272)) % 15.35/15.90 (step-pop @p274 :rule scope :premises (@p273)) % 15.35/15.90 (step @p177 :rule process_scope :premises (@p274) :args (@t93)) % 15.35/15.90 (step @p182 :rule implies_elim :premises (@p177)) % 15.35/15.90 (step @p183 :rule resolution :premises (@p182 @p167) :args (true @t93)) % 15.35/15.90 (step @p184 :rule not_and :premises (@p183)) % 15.35/15.90 (step @p185 :rule eq_resolve :premises (@p184 @p152)) % 15.35/15.90 (step @p186 :rule chain_m_resolution :premises (@p185 @p147 @p130 @p51) :args (@t92 (@list true false false) (@list @t86 @t65 @t89))) % 15.35/15.90 (step @p187 :rule cnf_or_pos :args (@t59)) % 15.35/15.90 (step @p188 :rule reordering :premises (@p187) :args ((or @t55 @t58 (not @t59)))) % 15.35/15.90 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p47) :args (@t55 @t85 (@list @t58 @t59))) % 15.35/15.90 (step @p190 :rule refl :args (@t96)) % 15.35/15.90 (step @p191 :rule refl :args (@t97)) % 15.35/15.90 (step @p192 :rule eq-symm :args (@t94 @t54)) % 15.35/15.90 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190) :args (@t98)) % 15.35/15.90 (step @p194 :rule cong :premises (@p83 @p193) :args ((=> @t78 @t98))) % 15.35/15.90 (assume-push @p275 @t78) % 15.35/15.90 (step @p196 :rule instantiate :premises (@p78) :args ((@list @t54 @t94 tptp.v_c tptp.v_Z))) % 15.35/15.90 (step-pop @p276 :rule scope :premises (@p196)) % 15.35/15.90 (step @p197 :rule process_scope :premises (@p276) :args (@t98)) % 15.35/15.90 (step @p199 :rule eq_resolve :premises (@p197 @p194)) % 15.35/15.90 (step @p200 :rule implies_elim :premises (@p199)) % 15.35/15.90 (step @p201 :rule chain_m_resolution :premises (@p200 @p78) :args (@t100 @t60 @t80)) % 15.35/15.90 (step @p202 :rule instantiate :premises (@p35) :args (@t101)) % 15.35/15.90 (step @p203 :rule refl :args (@t103)) % 15.35/15.90 (step @p204 :rule nary_cong :premises (@p96 @p191 @p203) :args ((or @t82 @t97 @t103))) % 15.35/15.90 (assume-push @p277 @t43) % 15.35/15.90 (assume-push @p278 @t102) % 15.35/15.90 (assume-push @p279 @t55) % 15.35/15.90 (step @p101 :rule evaluate :args (@t83)) % 15.35/15.90 (step @p102 :rule false_intro :premises (@p27)) % 15.35/15.90 (step @p208 :rule symm :premises (@p278)) % 15.35/15.90 (step @p104 :rule refl :args (tptp.v_Z)) % 15.35/15.90 (step @p105 :rule refl :args (tptp.v_c)) % 15.35/15.90 (step @p209 :rule cong :premises (@p105 @p104 @p208) :args (@t55)) % 15.35/15.90 (step @p210 :rule true_intro :premises (@p279)) % 15.35/15.90 (step @p211 :rule symm :premises (@p210)) % 15.35/15.90 (step @p212 :rule trans :premises (@p211 @p209 @p102)) % 15.35/15.90 (step @p213 false :rule eq_resolve :premises (@p212 @p101)) % 15.35/15.90 (step-pop @p280 :rule scope :premises (@p213)) % 15.35/15.90 (step-pop @p281 :rule scope :premises (@p280)) % 15.35/15.90 (step-pop @p282 :rule scope :premises (@p281)) % 15.35/15.90 (step @p214 :rule process_scope :premises (@p282) :args (false)) % 15.35/15.90 (assume-push @p283 @t43) % 15.35/15.90 (assume-push @p284 @t55) % 15.35/15.90 (assume-push @p285 @t102) % 15.35/15.90 (step @p221 :rule and_intro :premises (@p27 @p285 @p284)) % 15.35/15.90 (step-pop @p286 :rule scope :premises (@p221)) % 15.35/15.90 (step-pop @p287 :rule scope :premises (@p286)) % 15.35/15.90 (step-pop @p288 :rule scope :premises (@p287)) % 15.35/15.90 (step @p222 :rule process_scope :premises (@p288) :args (@t104)) % 15.35/15.90 (step @p226 :rule implies_elim :premises (@p222)) % 15.35/15.90 (step @p227 :rule resolution :premises (@p226 @p214) :args (true @t104)) % 15.35/15.90 (step @p228 :rule not_and :premises (@p227)) % 15.35/15.90 (step @p229 :rule eq_resolve :premises (@p228 @p204)) % 15.35/15.90 (step @p230 :rule chain_m_resolution :premises (@p229 @p27 @p189) :args (@t103 @t85 (@list @t42 @t55))) % 15.35/15.90 (step @p231 :rule cnf_or_pos :args (@t105)) % 15.35/15.90 (step @p232 :rule reordering :premises (@p231) :args ((or @t102 @t95 (not @t105)))) % 15.35/15.90 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p202) :args (@t95 @t85 (@list @t102 @t105))) % 15.35/15.90 (step @p234 :rule instantiate :premises (@p69) :args (@t101)) % 15.35/15.90 (step @p235 :rule cnf_or_pos :args (@t107)) % 15.35/15.90 (step @p236 :rule reordering :premises (@p235) :args ((or @t102 @t106 (not @t107)))) % 15.35/15.90 (step @p237 :rule chain_m_resolution :premises (@p236 @p230 @p234) :args (@t106 @t85 (@list @t102 @t107))) % 15.35/15.90 (step @p238 :rule cnf_or_pos :args (@t100)) % 15.35/15.90 (step @p239 :rule reordering :premises (@p238) :args ((or @t97 @t99 @t96 (not @t100)))) % 15.35/15.90 (step @p240 false :rule chain_m_resolution :premises (@p239 @p237 @p233 @p201 @p189) :args (false (@list true false false false) (@list @t99 @t95 @t100 @t55))) % 15.35/15.90 ) % 15.35/15.91 % SZS output end Proof % 15.35/15.91 % cvc5 exiting %------------------------------------------------------------------------------