%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET837-2 : 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 : 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 08:48:47 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.43s % Output : Proof 0.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET837-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 11:14:15 EDT 2026 % 0.08/0.25 % CPUTime : % 0.08/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.43 % SZS status Unsatisfiable % 0.15/0.43 % SZS output start Proof % 0.23/0.43 ( % 0.23/0.43 (declare-sort $$unsorted 0) % 0.23/0.43 (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.v_x $$unsorted) % 0.23/0.43 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.v_Z $$unsorted) % 0.23/0.43 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.23/0.43 (declare-const tptp.v_Y $$unsorted) % 0.23/0.43 (declare-const tptp.v_X $$unsorted) % 0.23/0.43 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.23/0.43 (declare-const tptp.t_a $$unsorted) % 0.23/0.43 (define @t1 () (tptp.tc_set tptp.t_a)) % 0.23/0.43 (define @t2 () (tptp.c_lessequals tptp.v_Y tptp.v_X @t1)) % 0.23/0.43 (define @t3 () (tptp.c_union tptp.v_Y tptp.v_Z tptp.t_a)) % 0.23/0.43 (define @t4 () (= tptp.v_X @t3)) % 0.23/0.43 (define @t5 () (tptp.c_lessequals tptp.v_Z tptp.v_X @t1)) % 0.23/0.43 (define @t6 () (not @t4)) % 0.23/0.43 (define @t7 () (not @t2)) % 0.23/0.43 (define @t8 () (not @t5)) % 0.23/0.43 (define @t9 () (tptp.c_lessequals tptp.v_Y tptp.v_x @t1)) % 0.23/0.43 (define @t10 () (tptp.c_lessequals tptp.v_Z tptp.v_x @t1)) % 0.23/0.43 (define @t11 () (tptp.c_lessequals tptp.v_X tptp.v_x @t1)) % 0.23/0.43 (define @t12 () (not @t11)) % 0.23/0.43 (define @t13 () (@var "V_U" $$unsorted)) % 0.23/0.43 (define @t14 () (not (tptp.c_lessequals tptp.v_Y @t13 @t1))) % 0.23/0.43 (define @t15 () (not (tptp.c_lessequals tptp.v_Z @t13 @t1))) % 0.23/0.43 (define @t16 () (tptp.c_lessequals tptp.v_X @t13 @t1)) % 0.23/0.43 (define @t17 () (or @t4 @t16 @t15 @t14)) % 0.23/0.43 (define @t18 () (@list @t13)) % 0.23/0.43 (define @t19 () (forall @t18 @t17)) % 0.23/0.43 (define @t20 () (@var "T_a" $$unsorted)) % 0.23/0.43 (define @t21 () (@var "V_B" $$unsorted)) % 0.23/0.43 (define @t22 () (@var "V_A" $$unsorted)) % 0.23/0.43 (define @t23 () (@var "V_c" $$unsorted)) % 0.23/0.43 (define @t24 () (tptp.c_in @t23 (tptp.c_union @t22 @t21 @t20) @t20)) % 0.23/0.43 (define @t25 () (tptp.c_in @t23 @t21 @t20)) % 0.23/0.43 (define @t26 () (tptp.c_in @t23 @t22 @t20)) % 0.23/0.43 (define @t27 () (not @t26)) % 0.23/0.43 (define @t28 () (@list @t23 @t22 @t20 @t21)) % 0.23/0.43 (define @t29 () (tptp.tc_set @t20)) % 0.23/0.43 (define @t30 () (tptp.c_lessequals @t22 @t21 @t29)) % 0.23/0.43 (define @t31 () (not @t30)) % 0.23/0.43 (define @t32 () (forall @t28 (or @t27 @t31 @t25))) % 0.23/0.43 (define @t33 () (tptp.c_Main_OsubsetI__1 @t22 @t21 @t20)) % 0.23/0.43 (define @t34 () (@list @t22 @t21 @t20)) % 0.23/0.43 (define @t35 () (not (tptp.c_lessequals @t21 @t22 @t29))) % 0.23/0.43 (define @t36 () (or @t35 @t31 (= @t22 @t21))) % 0.23/0.43 (define @t37 () (forall (@list @t21 @t22 @t20) @t36)) % 0.23/0.43 (define @t38 () (tptp.c_Main_OsubsetI__1 @t3 tptp.v_X tptp.t_a)) % 0.23/0.43 (define @t39 () (@list @t3 tptp.v_X tptp.t_a)) % 0.23/0.43 (define @t40 () (@list tptp.v_Z tptp.v_X tptp.t_a)) % 0.23/0.43 (define @t41 () (tptp.c_Main_OsubsetI__1 tptp.v_Z tptp.v_X tptp.t_a)) % 0.23/0.43 (define @t42 () (tptp.c_in @t41 tptp.v_Z tptp.t_a)) % 0.23/0.43 (define @t43 () (or @t42 @t5)) % 0.23/0.43 (define @t44 () (tptp.c_in @t41 tptp.v_X tptp.t_a)) % 0.23/0.43 (define @t45 () (not @t44)) % 0.23/0.43 (define @t46 () (or @t45 @t5)) % 0.23/0.43 (define @t47 () (tptp.c_in @t41 @t3 tptp.t_a)) % 0.23/0.43 (define @t48 () (not @t42)) % 0.23/0.43 (define @t49 () (or @t48 @t47)) % 0.23/0.43 (define @t50 () (not @t47)) % 0.23/0.43 (define @t51 () (and @t4 @t45)) % 0.23/0.43 (define @t52 () (@list tptp.v_Y tptp.v_X tptp.t_a)) % 0.23/0.43 (define @t53 () (tptp.c_Main_OsubsetI__1 tptp.v_Y tptp.v_X tptp.t_a)) % 0.23/0.43 (define @t54 () (tptp.c_in @t53 tptp.v_Y tptp.t_a)) % 0.23/0.43 (define @t55 () (or @t54 @t2)) % 0.23/0.43 (define @t56 () (tptp.c_in @t53 tptp.v_X tptp.t_a)) % 0.23/0.43 (define @t57 () (not @t56)) % 0.23/0.43 (define @t58 () (or @t57 @t2)) % 0.23/0.43 (define @t59 () (tptp.c_in @t53 @t3 tptp.t_a)) % 0.23/0.43 (define @t60 () (not @t54)) % 0.23/0.43 (define @t61 () (or @t60 @t59)) % 0.23/0.43 (define @t62 () (not @t59)) % 0.23/0.43 (define @t63 () (and @t4 @t57)) % 0.23/0.43 (define @t64 () (@list tptp.v_X tptp.v_x tptp.t_a)) % 0.23/0.43 (define @t65 () (tptp.c_Main_OsubsetI__1 tptp.v_X tptp.v_x tptp.t_a)) % 0.23/0.43 (define @t66 () (tptp.c_in @t65 tptp.v_X tptp.t_a)) % 0.23/0.43 (define @t67 () (or @t66 @t11)) % 0.23/0.43 (define @t68 () (tptp.c_in @t65 tptp.v_x tptp.t_a)) % 0.23/0.43 (define @t69 () (not @t68)) % 0.23/0.43 (define @t70 () (or @t69 @t11)) % 0.23/0.43 (define @t71 () (not @t10)) % 0.23/0.43 (define @t72 () (tptp.c_in @t65 tptp.v_Z tptp.t_a)) % 0.23/0.43 (define @t73 () (not @t72)) % 0.23/0.43 (define @t74 () (or @t73 @t71 @t68)) % 0.23/0.43 (define @t75 () (not @t9)) % 0.23/0.43 (define @t76 () (tptp.c_in @t65 tptp.v_Y tptp.t_a)) % 0.23/0.43 (define @t77 () (not @t76)) % 0.23/0.43 (define @t78 () (or @t77 @t75 @t68)) % 0.23/0.43 (define @t79 () (tptp.c_in @t65 @t3 tptp.t_a)) % 0.23/0.43 (define @t80 () (not @t79)) % 0.23/0.43 (define @t81 () (or @t80 @t72 @t76)) % 0.23/0.43 (define @t82 () (and @t4 @t66)) % 0.23/0.43 (define @t83 () (or @t16 @t15 @t14)) % 0.23/0.43 (define @t84 () (forall @t18 @t83)) % 0.23/0.43 (define @t85 () (or @t4 @t83)) % 0.23/0.43 (define @t86 () (@list true)) % 0.23/0.43 (define @t87 () (@list @t4)) % 0.23/0.43 (define @t88 () (tptp.c_lessequals tptp.v_Y @t3 @t1)) % 0.23/0.43 (define @t89 () (not @t88)) % 0.23/0.43 (define @t90 () (tptp.c_lessequals tptp.v_Z @t3 @t1)) % 0.23/0.43 (define @t91 () (not @t90)) % 0.23/0.43 (define @t92 () (tptp.c_lessequals tptp.v_X @t3 @t1)) % 0.23/0.43 (define @t93 () (or @t92 @t91 @t89)) % 0.23/0.43 (define @t94 () (@list tptp.v_Y @t3 tptp.t_a)) % 0.23/0.43 (define @t95 () (tptp.c_Main_OsubsetI__1 tptp.v_Y @t3 tptp.t_a)) % 0.23/0.43 (define @t96 () (tptp.c_in @t95 tptp.v_Y tptp.t_a)) % 0.23/0.43 (define @t97 () (or @t96 @t88)) % 0.23/0.43 (define @t98 () (tptp.c_in @t95 @t3 tptp.t_a)) % 0.23/0.43 (define @t99 () (not @t98)) % 0.23/0.43 (define @t100 () (or @t99 @t88)) % 0.23/0.43 (define @t101 () (not @t96)) % 0.23/0.43 (define @t102 () (or @t101 @t98)) % 0.23/0.43 (define @t103 () (@list false true false false false)) % 0.23/0.43 (define @t104 () (@list tptp.v_Z @t3 tptp.t_a)) % 0.23/0.43 (define @t105 () (tptp.c_Main_OsubsetI__1 tptp.v_Z @t3 tptp.t_a)) % 0.23/0.43 (define @t106 () (tptp.c_in @t105 tptp.v_Z tptp.t_a)) % 0.23/0.43 (define @t107 () (or @t106 @t90)) % 0.23/0.43 (define @t108 () (tptp.c_in @t105 @t3 tptp.t_a)) % 0.23/0.43 (define @t109 () (not @t108)) % 0.23/0.43 (define @t110 () (or @t109 @t90)) % 0.23/0.43 (define @t111 () (not @t106)) % 0.23/0.43 (define @t112 () (or @t111 @t108)) % 0.23/0.43 (define @t113 () (tptp.c_lessequals @t3 tptp.v_X @t1)) % 0.23/0.43 (define @t114 () (not @t113)) % 0.23/0.43 (define @t115 () (not @t92)) % 0.23/0.43 (define @t116 () (or @t115 @t114 @t4)) % 0.23/0.43 (define @t117 () (tptp.c_in @t38 tptp.v_X tptp.t_a)) % 0.23/0.43 (define @t118 () (not @t117)) % 0.23/0.43 (define @t119 () (or @t118 @t113)) % 0.23/0.43 (define @t120 () (@list true false)) % 0.23/0.43 (define @t121 () (tptp.c_in @t38 tptp.v_Z tptp.t_a)) % 0.23/0.43 (define @t122 () (not @t121)) % 0.23/0.43 (define @t123 () (or @t122 @t8 @t117)) % 0.23/0.43 (define @t124 () (@list false true false)) % 0.23/0.43 (define @t125 () (tptp.c_in @t38 @t3 tptp.t_a)) % 0.23/0.43 (define @t126 () (or @t125 @t113)) % 0.23/0.43 (define @t127 () (tptp.c_in @t38 tptp.v_Y tptp.t_a)) % 0.23/0.43 (define @t128 () (not @t125)) % 0.23/0.43 (define @t129 () (or @t128 @t121 @t127)) % 0.23/0.43 (define @t130 () (not @t127)) % 0.23/0.43 (define @t131 () (or @t130 @t7 @t117)) % 0.23/0.43 (define @t132 () (not @t131)) % 0.23/0.43 (assume @p1 (or @t4 @t2)) % 0.23/0.43 (assume @p2 (or @t4 @t5)) % 0.23/0.43 (assume @p3 (or @t9 @t8 @t7 @t6)) % 0.23/0.43 (assume @p4 (or @t10 @t8 @t7 @t6)) % 0.23/0.43 (assume @p5 (or @t12 @t8 @t7 @t6)) % 0.23/0.43 (assume @p6 @t19) % 0.23/0.43 (assume @p7 (forall (@list @t23 @t21 @t20 @t22) (or (not @t25) @t24))) % 0.23/0.43 (assume @p8 (forall @t28 (or @t27 @t24))) % 0.23/0.43 (assume @p9 (forall (@list @t23 @t22 @t21 @t20) (or (not @t24) @t25 @t26))) % 0.23/0.43 (assume @p10 @t32) % 0.23/0.43 (assume @p11 (forall @t34 (or (tptp.c_in @t33 @t22 @t20) @t30))) % 0.23/0.43 (assume @p12 (forall @t34 (or (not (tptp.c_in @t33 @t21 @t20)) @t30))) % 0.23/0.43 (assume @p13 @t37) % 0.23/0.43 (step @p14 :rule instantiate :premises (@p9) :args ((@list @t38 tptp.v_Y tptp.v_Z tptp.t_a))) % 0.23/0.43 (step @p15 :rule instantiate :premises (@p10) :args ((@list @t38 tptp.v_Z tptp.t_a tptp.v_X))) % 0.23/0.43 (step @p16 :rule instantiate :premises (@p12) :args (@t39)) % 0.23/0.43 (step @p17 :rule eq-symm :args (@t22 @t21)) % 0.23/0.43 (step @p18 :rule refl :args (@t31)) % 0.23/0.43 (step @p19 :rule refl :args (@t35)) % 0.23/0.43 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17) :args (@t36)) % 0.23/0.43 (step @p21 :rule cong :premises (@p20) :args (@t37)) % 0.23/0.43 (step @p22 :rule eq_resolve :premises (@p13 @p21)) % 0.23/0.43 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.v_X @t3 tptp.t_a))) % 0.23/0.43 (step @p24 :rule instantiate :premises (@p11) :args (@t40)) % 0.23/0.43 (step @p25 :rule cnf_or_pos :args (@t43)) % 0.23/0.43 (step @p26 :rule reordering :premises (@p25) :args ((or @t5 @t42 (not @t43)))) % 0.23/0.43 (step @p27 :rule instantiate :premises (@p12) :args (@t40)) % 0.23/0.43 (step @p28 :rule cnf_or_pos :args (@t46)) % 0.23/0.43 (step @p29 :rule reordering :premises (@p28) :args ((or @t5 @t45 (not @t46)))) % 0.23/0.43 (step @p30 :rule instantiate :premises (@p7) :args ((@list @t41 tptp.v_Z tptp.t_a tptp.v_Y))) % 0.23/0.43 (step @p31 :rule cnf_or_pos :args (@t49)) % 0.23/0.43 (step @p32 :rule reordering :premises (@p31) :args ((or @t48 @t47 (not @t49)))) % 0.23/0.43 (step @p33 :rule refl :args (@t50)) % 0.23/0.43 (step @p34 :rule bool-double-not-elim :args (@t44)) % 0.23/0.43 (step @p35 :rule refl :args (@t6)) % 0.23/0.43 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33) :args ((or @t6 (not @t45) @t50))) % 0.23/0.43 (assume-push @p196 @t4) % 0.23/0.43 (assume-push @p197 @t45) % 0.23/0.43 (assume-push @p198 @t45) % 0.23/0.43 (assume-push @p199 @t4) % 0.23/0.43 (step @p41 :rule false_intro :premises (@p197)) % 0.23/0.43 (step @p42 :rule refl :args (tptp.t_a)) % 0.23/0.43 (step @p43 :rule symm :premises (@p196)) % 0.23/0.43 (step @p44 :rule refl :args (@t41)) % 0.23/0.43 (step @p45 :rule cong :premises (@p44 @p43 @p42) :args (@t47)) % 0.23/0.43 (step @p46 :rule trans :premises (@p45 @p41)) % 0.23/0.43 (step @p47 :rule false_elim :premises (@p46)) % 0.23/0.43 (step-pop @p200 :rule scope :premises (@p47)) % 0.23/0.43 (step-pop @p201 :rule scope :premises (@p200)) % 0.23/0.43 (step @p48 :rule process_scope :premises (@p201) :args (@t50)) % 0.23/0.43 (step @p51 :rule and_intro :premises (@p197 @p196)) % 0.23/0.43 (step @p52 :rule modus_ponens :premises (@p51 @p48)) % 0.23/0.43 (step-pop @p202 :rule scope :premises (@p52)) % 0.23/0.43 (step-pop @p203 :rule scope :premises (@p202)) % 0.23/0.43 (step @p53 :rule process_scope :premises (@p203) :args (@t50)) % 0.23/0.43 (step @p56 :rule implies_elim :premises (@p53)) % 0.23/0.43 (step @p57 :rule cnf_and_neg :args (@t51)) % 0.23/0.43 (step @p58 :rule resolution :premises (@p57 @p56) :args (true @t51)) % 0.23/0.43 (step @p59 :rule eq_resolve :premises (@p58 @p36)) % 0.23/0.43 (step @p60 :rule chain_m_resolution :premises (@p59 @p32 @p30 @p29 @p27 @p26 @p24) :args ((or @t5 @t6) (@list false false true false false false) (@list @t47 @t49 @t44 @t46 @t42 @t43))) % 0.23/0.43 (step @p61 :rule instantiate :premises (@p11) :args (@t52)) % 0.23/0.43 (step @p62 :rule cnf_or_pos :args (@t55)) % 0.23/0.43 (step @p63 :rule reordering :premises (@p62) :args ((or @t2 @t54 (not @t55)))) % 0.23/0.43 (step @p64 :rule instantiate :premises (@p12) :args (@t52)) % 0.23/0.43 (step @p65 :rule cnf_or_pos :args (@t58)) % 0.23/0.43 (step @p66 :rule reordering :premises (@p65) :args ((or @t2 @t57 (not @t58)))) % 0.23/0.43 (step @p67 :rule instantiate :premises (@p8) :args ((@list @t53 tptp.v_Y tptp.t_a tptp.v_Z))) % 0.23/0.43 (step @p68 :rule cnf_or_pos :args (@t61)) % 0.23/0.43 (step @p69 :rule reordering :premises (@p68) :args ((or @t60 @t59 (not @t61)))) % 0.23/0.43 (step @p70 :rule refl :args (@t62)) % 0.23/0.43 (step @p71 :rule bool-double-not-elim :args (@t56)) % 0.23/0.43 (step @p72 :rule nary_cong :premises (@p35 @p71 @p70) :args ((or @t6 (not @t57) @t62))) % 0.23/0.43 (assume-push @p204 @t4) % 0.23/0.43 (assume-push @p205 @t57) % 0.23/0.43 (assume-push @p206 @t57) % 0.23/0.43 (assume-push @p207 @t4) % 0.23/0.43 (step @p77 :rule false_intro :premises (@p205)) % 0.23/0.43 (step @p42 :rule refl :args (tptp.t_a)) % 0.23/0.43 (step @p78 :rule symm :premises (@p204)) % 0.23/0.43 (step @p79 :rule refl :args (@t53)) % 0.23/0.43 (step @p80 :rule cong :premises (@p79 @p78 @p42) :args (@t59)) % 0.23/0.43 (step @p81 :rule trans :premises (@p80 @p77)) % 0.23/0.43 (step @p82 :rule false_elim :premises (@p81)) % 0.23/0.43 (step-pop @p208 :rule scope :premises (@p82)) % 0.23/0.43 (step-pop @p209 :rule scope :premises (@p208)) % 0.23/0.43 (step @p83 :rule process_scope :premises (@p209) :args (@t62)) % 0.23/0.43 (step @p86 :rule and_intro :premises (@p205 @p204)) % 0.23/0.43 (step @p87 :rule modus_ponens :premises (@p86 @p83)) % 0.23/0.43 (step-pop @p210 :rule scope :premises (@p87)) % 0.23/0.43 (step-pop @p211 :rule scope :premises (@p210)) % 0.23/0.43 (step @p88 :rule process_scope :premises (@p211) :args (@t62)) % 0.23/0.43 (step @p91 :rule implies_elim :premises (@p88)) % 0.23/0.43 (step @p92 :rule cnf_and_neg :args (@t63)) % 0.23/0.43 (step @p93 :rule resolution :premises (@p92 @p91) :args (true @t63)) % 0.23/0.43 (step @p94 :rule eq_resolve :premises (@p93 @p72)) % 0.23/0.43 (step @p95 :rule chain_m_resolution :premises (@p94 @p69 @p67 @p66 @p64 @p63 @p61 @p1) :args (@t2 (@list false false true false false false false) (@list @t59 @t61 @t56 @t58 @t54 @t55 @t4))) % 0.23/0.43 (step @p96 :rule reordering :premises (@p5) :args ((or @t8 @t7 @t6 @t12))) % 0.23/0.43 (step @p97 :rule reordering :premises (@p4) :args ((or @t8 @t7 @t6 @t10))) % 0.23/0.43 (step @p98 :rule instantiate :premises (@p11) :args (@t64)) % 0.23/0.43 (step @p99 :rule cnf_or_pos :args (@t67)) % 0.23/0.43 (step @p100 :rule reordering :premises (@p99) :args ((or @t11 @t66 (not @t67)))) % 0.23/0.43 (step @p101 :rule instantiate :premises (@p12) :args (@t64)) % 0.23/0.43 (step @p102 :rule cnf_or_pos :args (@t70)) % 0.23/0.43 (step @p103 :rule reordering :premises (@p102) :args ((or @t11 @t69 (not @t70)))) % 0.23/0.43 (step @p104 :rule instantiate :premises (@p10) :args ((@list @t65 tptp.v_Z tptp.t_a tptp.v_x))) % 0.23/0.43 (step @p105 :rule cnf_or_pos :args (@t74)) % 0.23/0.43 (step @p106 :rule reordering :premises (@p105) :args ((or @t71 @t68 @t73 (not @t74)))) % 0.23/0.43 (step @p107 :rule instantiate :premises (@p10) :args ((@list @t65 tptp.v_Y tptp.t_a tptp.v_x))) % 0.23/0.43 (step @p108 :rule cnf_or_pos :args (@t78)) % 0.23/0.43 (step @p109 :rule reordering :premises (@p108) :args ((or @t75 @t68 @t77 (not @t78)))) % 0.23/0.43 (step @p110 :rule instantiate :premises (@p9) :args ((@list @t65 tptp.v_Y tptp.v_Z tptp.t_a))) % 0.23/0.43 (step @p111 :rule cnf_or_pos :args (@t81)) % 0.23/0.43 (step @p112 :rule reordering :premises (@p111) :args ((or @t72 @t76 @t80 (not @t81)))) % 0.23/0.43 (assume-push @p212 @t4) % 0.23/0.43 (assume-push @p213 @t66) % 0.23/0.43 (assume-push @p214 @t66) % 0.23/0.43 (assume-push @p215 @t4) % 0.23/0.43 (step @p117 :rule true_intro :premises (@p213)) % 0.23/0.43 (step @p42 :rule refl :args (tptp.t_a)) % 0.23/0.43 (step @p118 :rule symm :premises (@p212)) % 0.23/0.43 (step @p119 :rule refl :args (@t65)) % 0.23/0.43 (step @p120 :rule cong :premises (@p119 @p118 @p42) :args (@t79)) % 0.23/0.43 (step @p121 :rule trans :premises (@p120 @p117)) % 0.23/0.43 (step @p122 :rule true_elim :premises (@p121)) % 0.23/0.43 (step-pop @p216 :rule scope :premises (@p122)) % 0.23/0.43 (step-pop @p217 :rule scope :premises (@p216)) % 0.23/0.43 (step @p123 :rule process_scope :premises (@p217) :args (@t79)) % 0.23/0.43 (step @p126 :rule and_intro :premises (@p213 @p212)) % 0.23/0.43 (step @p127 :rule modus_ponens :premises (@p126 @p123)) % 0.23/0.43 (step-pop @p218 :rule scope :premises (@p127)) % 0.23/0.43 (step-pop @p219 :rule scope :premises (@p218)) % 0.23/0.43 (step @p128 :rule process_scope :premises (@p219) :args (@t79)) % 0.23/0.43 (step @p131 :rule implies_elim :premises (@p128)) % 0.23/0.43 (step @p132 :rule cnf_and_neg :args (@t82)) % 0.23/0.43 (step @p133 :rule resolution :premises (@p132 @p131) :args (true @t82)) % 0.23/0.43 (step @p134 :rule chain_m_resolution :premises (@p133 @p112 @p110 @p109 @p107 @p106 @p104 @p103 @p101 @p100 @p98 @p97 @p95 @p3 @p95 @p96 @p95 @p60) :args (@t6 (@list true false true false true false true false false false false false false false true false false) (@list @t79 @t81 @t76 @t78 @t72 @t74 @t68 @t70 @t66 @t67 @t10 @t2 @t9 @t2 @t11 @t2 @t5))) % 0.23/0.43 (step @p135 :rule quant-miniscope-or :args ((= (forall @t18 @t85) (or @t4 @t84)))) % 0.23/0.43 (step @p136 :rule aci_norm :args ((= @t17 @t85))) % 0.23/0.43 (step @p137 :rule cong :premises (@p136) :args (@t19)) % 0.23/0.43 (step @p138 :rule trans :premises (@p137 @p135)) % 0.23/0.43 (step @p139 :rule eq_resolve :premises (@p6 @p138)) % 0.23/0.43 (step @p140 :rule chain_m_resolution :premises (@p139 @p134) :args (@t84 @t86 @t87)) % 0.23/0.43 (assume-push @p220 @t84) % 0.23/0.43 (step @p142 :rule instantiate :premises (@p220) :args ((@list @t3))) % 0.23/0.43 (step-pop @p221 :rule scope :premises (@p142)) % 0.23/0.43 (step @p143 :rule process_scope :premises (@p221) :args (@t93)) % 0.23/0.43 (step @p145 :rule implies_elim :premises (@p143)) % 0.23/0.43 (step @p146 :rule chain_m_resolution :premises (@p145 @p140) :args (@t93 (@list false) (@list @t84))) % 0.23/0.43 (step @p147 :rule instantiate :premises (@p11) :args (@t94)) % 0.23/0.43 (step @p148 :rule cnf_or_pos :args (@t97)) % 0.23/0.43 (step @p149 :rule reordering :premises (@p148) :args ((or @t88 @t96 (not @t97)))) % 0.23/0.43 (step @p150 :rule instantiate :premises (@p12) :args (@t94)) % 0.23/0.43 (step @p151 :rule cnf_or_pos :args (@t100)) % 0.23/0.43 (step @p152 :rule reordering :premises (@p151) :args ((or @t88 @t99 (not @t100)))) % 0.23/0.43 (step @p153 :rule instantiate :premises (@p8) :args ((@list @t95 tptp.v_Y tptp.t_a tptp.v_Z))) % 0.23/0.43 (step @p154 :rule cnf_or_pos :args (@t102)) % 0.23/0.43 (step @p155 :rule reordering :premises (@p154) :args ((or @t98 @t101 (not @t102)))) % 0.23/0.43 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p152 @p150 @p149 @p147) :args (@t88 @t103 (@list @t102 @t98 @t100 @t96 @t97))) % 0.23/0.43 (step @p157 :rule instantiate :premises (@p11) :args (@t104)) % 0.23/0.43 (step @p158 :rule cnf_or_pos :args (@t107)) % 0.23/0.43 (step @p159 :rule reordering :premises (@p158) :args ((or @t90 @t106 (not @t107)))) % 0.23/0.43 (step @p160 :rule instantiate :premises (@p12) :args (@t104)) % 0.23/0.43 (step @p161 :rule cnf_or_pos :args (@t110)) % 0.23/0.43 (step @p162 :rule reordering :premises (@p161) :args ((or @t90 @t109 (not @t110)))) % 0.23/0.43 (step @p163 :rule instantiate :premises (@p7) :args ((@list @t105 tptp.v_Z tptp.t_a tptp.v_Y))) % 0.23/0.43 (step @p164 :rule cnf_or_pos :args (@t112)) % 0.23/0.43 (step @p165 :rule reordering :premises (@p164) :args ((or @t108 @t111 (not @t112)))) % 0.23/0.43 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p162 @p160 @p159 @p157) :args (@t90 @t103 (@list @t112 @t108 @t110 @t106 @t107))) % 0.23/0.43 (step @p167 :rule cnf_or_pos :args (@t93)) % 0.23/0.43 (step @p168 :rule reordering :premises (@p167) :args ((or @t92 @t91 @t89 (not @t93)))) % 0.23/0.43 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p156 @p146) :args (@t92 (@list false false false) (@list @t90 @t88 @t93))) % 0.23/0.43 (step @p170 :rule cnf_or_pos :args (@t116)) % 0.23/0.43 (step @p171 :rule reordering :premises (@p170) :args ((or @t4 @t115 @t114 (not @t116)))) % 0.23/0.43 (step @p172 :rule chain_m_resolution :premises (@p171 @p134 @p169 @p23) :args (@t114 (@list true false false) (@list @t4 @t92 @t116))) % 0.23/0.43 (step @p173 :rule cnf_or_pos :args (@t119)) % 0.23/0.43 (step @p174 :rule reordering :premises (@p173) :args ((or @t113 @t118 (not @t119)))) % 0.23/0.43 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p16) :args (@t118 @t120 (@list @t113 @t119))) % 0.23/0.43 (step @p176 :rule chain_m_resolution :premises (@p2 @p134) :args (@t5 @t86 @t87)) % 0.23/0.43 (step @p177 :rule cnf_or_pos :args (@t123)) % 0.23/0.43 (step @p178 :rule reordering :premises (@p177) :args ((or @t8 @t117 @t122 (not @t123)))) % 0.23/0.43 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p175 @p15) :args (@t122 @t124 (@list @t5 @t117 @t123))) % 0.23/0.43 (step @p180 :rule instantiate :premises (@p11) :args (@t39)) % 0.23/0.43 (step @p181 :rule cnf_or_pos :args (@t126)) % 0.23/0.43 (step @p182 :rule reordering :premises (@p181) :args ((or @t113 @t125 (not @t126)))) % 0.23/0.43 (step @p183 :rule chain_m_resolution :premises (@p182 @p172 @p180) :args (@t125 @t120 (@list @t113 @t126))) % 0.23/0.43 (step @p184 :rule cnf_or_pos :args (@t129)) % 0.23/0.43 (step @p185 :rule reordering :premises (@p184) :args ((or @t128 @t121 @t127 (not @t129)))) % 0.23/0.43 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p179 @p14) :args (@t127 @t124 (@list @t125 @t121 @t129))) % 0.23/0.43 (step @p187 :rule cnf_or_pos :args (@t131)) % 0.23/0.43 (step @p188 :rule reordering :premises (@p187) :args ((or @t7 @t117 @t130 @t132))) % 0.23/0.43 (step @p189 :rule chain_m_resolution :premises (@p188 @p95 @p175 @p186) :args (@t132 @t124 (@list @t2 @t117 @t127))) % 0.23/0.43 (assume-push @p222 @t32) % 0.23/0.43 (step @p191 :rule instantiate :premises (@p10) :args ((@list @t38 tptp.v_Y tptp.t_a tptp.v_X))) % 0.23/0.43 (step-pop @p223 :rule scope :premises (@p191)) % 0.23/0.43 (step @p192 :rule process_scope :premises (@p223) :args (@t131)) % 0.23/0.43 (step @p194 :rule implies_elim :premises (@p192)) % 0.23/0.43 (step @p195 false :rule chain_m_resolution :premises (@p194 @p189 @p10) :args (false @t120 (@list @t131 @t32))) % 0.23/0.43 ) % 0.23/0.43 % SZS output end Proof % 0.23/0.43 % cvc5 exiting %------------------------------------------------------------------------------