%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU119+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:50:36 AM UTC 2026 % Result : Theorem 2.03s 2.26s % Output : Proof 2.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU119+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n027.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:30:36 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 2.03/2.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.03/2.26 % SZS status Theorem % 2.03/2.26 % SZS output start Proof % 2.03/2.26 ( % 2.03/2.26 (declare-sort $$unsorted 0) % 2.03/2.26 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 2.03/2.26 (declare-const tptp.empty (-> $$unsorted Bool)) % 2.03/2.26 (declare-const tptp.empty_set $$unsorted) % 2.03/2.26 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 2.03/2.26 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 2.03/2.26 (define @t1 () (@var "A" $$unsorted)) % 2.03/2.26 (define @t2 () (@var "B" $$unsorted)) % 2.03/2.26 (define @t3 () (not (tptp.in @t2 @t1))) % 2.03/2.26 (define @t4 () (@list @t1 @t2)) % 2.03/2.26 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 2.03/2.26 (define @t6 () (@list @t2)) % 2.03/2.26 (define @t7 () (@list @t1)) % 2.03/2.26 (define @t8 () (forall @t7 (= (= @t1 tptp.empty_set) (forall @t6 @t3)))) % 2.03/2.26 (define @t9 () (@var "D" $$unsorted)) % 2.03/2.26 (define @t10 () (@var "C" $$unsorted)) % 2.03/2.26 (define @t11 () (@list @t9)) % 2.03/2.26 (define @t12 () (forall @t11 (= (tptp.in @t9 @t10) (and (tptp.in @t9 @t1) (tptp.in @t9 @t2))))) % 2.03/2.26 (define @t13 () (= (= @t10 @t5) @t12)) % 2.03/2.26 (define @t14 () (@list @t1 @t2 @t10)) % 2.03/2.26 (define @t15 () (forall @t14 @t13)) % 2.03/2.26 (define @t16 () (tptp.disjoint @t1 @t2)) % 2.03/2.26 (define @t17 () (forall @t4 (= @t16 (= @t5 tptp.empty_set)))) % 2.03/2.26 (define @t18 () (tptp.empty @t1)) % 2.03/2.26 (define @t19 () (tptp.in @t10 @t2)) % 2.03/2.26 (define @t20 () (tptp.in @t10 @t1)) % 2.03/2.26 (define @t21 () (and @t20 @t19)) % 2.03/2.26 (define @t22 () (@list @t10)) % 2.03/2.26 (define @t23 () (exists @t22 @t21)) % 2.03/2.26 (define @t24 () (and @t23 @t16)) % 2.03/2.26 (define @t25 () (not @t24)) % 2.03/2.26 (define @t26 () (forall @t22 (not @t21))) % 2.03/2.26 (define @t27 () (not @t16)) % 2.03/2.26 (define @t28 () (and @t27 @t26)) % 2.03/2.26 (define @t29 () (not @t28)) % 2.03/2.26 (define @t30 () (and @t29 @t25)) % 2.03/2.26 (define @t31 () (forall @t4 @t30)) % 2.03/2.26 (define @t32 () (not @t31)) % 2.03/2.26 (define @t33 () (forall @t6 (not (tptp.in @t2 tptp.empty_set)))) % 2.03/2.26 (define @t34 () (= (= tptp.empty_set tptp.empty_set) @t33)) % 2.03/2.26 (define @t35 () (@list false)) % 2.03/2.26 (define @t36 () (@var "BOUND_VARIABLE_7534" $$unsorted)) % 2.03/2.26 (define @t37 () (@var "BOUND_VARIABLE_7548" $$unsorted)) % 2.03/2.26 (define @t38 () (not (tptp.in @t37 @t36))) % 2.03/2.26 (define @t39 () (@var "BOUND_VARIABLE_7532" $$unsorted)) % 2.03/2.26 (define @t40 () (not (tptp.in @t37 @t39))) % 2.03/2.26 (define @t41 () (not (tptp.disjoint @t39 @t36))) % 2.03/2.26 (define @t42 () (or @t41 @t40 @t38)) % 2.03/2.26 (define @t43 () (@list @t39 @t36 @t37)) % 2.03/2.26 (define @t44 () (forall @t43 @t42)) % 2.03/2.26 (define @t45 () (@quantifiers_skolemize @t44 2)) % 2.03/2.26 (define @t46 () (@list @t45)) % 2.03/2.26 (define @t47 () (@var "BOUND_VARIABLE_7519" $$unsorted)) % 2.03/2.26 (define @t48 () (@var "BOUND_VARIABLE_7517" $$unsorted)) % 2.03/2.26 (define @t49 () (forall (@list @t48 @t47) (or (tptp.disjoint @t48 @t47) (not (forall @t22 (or (not (tptp.in @t10 @t48)) (not (tptp.in @t10 @t47)))))))) % 2.03/2.26 (define @t50 () (@quantifiers_skolemize @t49 1)) % 2.03/2.26 (define @t51 () (@quantifiers_skolemize @t49 0)) % 2.03/2.26 (define @t52 () (forall @t22 (or (not (tptp.in @t10 @t51)) (not (tptp.in @t10 @t50))))) % 2.03/2.26 (define @t53 () (not @t52)) % 2.03/2.26 (define @t54 () (tptp.disjoint @t51 @t50)) % 2.03/2.26 (define @t55 () (or @t54 @t53)) % 2.03/2.26 (define @t56 () (tptp.set_intersection2 @t51 @t50)) % 2.03/2.26 (define @t57 () (= @t56 tptp.empty_set)) % 2.03/2.26 (define @t58 () (= @t54 @t57)) % 2.03/2.26 (define @t59 () (= tptp.empty_set @t56)) % 2.03/2.26 (define @t60 () (= @t54 @t59)) % 2.03/2.26 (define @t61 () (@list @t17)) % 2.03/2.26 (define @t62 () (tptp.in @t9 tptp.empty_set)) % 2.03/2.26 (define @t63 () (forall @t11 (= @t62 (and (tptp.in @t9 @t51) (tptp.in @t9 @t50))))) % 2.03/2.26 (define @t64 () (@quantifiers_skolemize @t63 0)) % 2.03/2.26 (define @t65 () (@list @t64)) % 2.03/2.26 (define @t66 () (tptp.in @t64 @t50)) % 2.03/2.26 (define @t67 () (not @t66)) % 2.03/2.26 (define @t68 () (tptp.in @t64 @t51)) % 2.03/2.26 (define @t69 () (not @t68)) % 2.03/2.26 (define @t70 () (or @t69 @t67)) % 2.03/2.26 (define @t71 () (= @t5 @t10)) % 2.03/2.26 (define @t72 () (forall @t14 (= @t12 @t71))) % 2.03/2.26 (define @t73 () (= @t63 @t57)) % 2.03/2.26 (define @t74 () (= @t59 @t63)) % 2.03/2.26 (define @t75 () (@list @t72)) % 2.03/2.26 (define @t76 () (not @t63)) % 2.03/2.26 (define @t77 () (and @t68 @t66)) % 2.03/2.26 (define @t78 () (tptp.in @t64 tptp.empty_set)) % 2.03/2.26 (define @t79 () (= @t78 @t77)) % 2.03/2.26 (define @t80 () (not @t79)) % 2.03/2.26 (define @t81 () (not @t77)) % 2.03/2.26 (define @t82 () (not @t55)) % 2.03/2.26 (define @t83 () (not @t49)) % 2.03/2.26 (define @t84 () (or @t40 @t38)) % 2.03/2.26 (define @t85 () (or @t84 @t41)) % 2.03/2.26 (define @t86 () (forall @t43 @t85)) % 2.03/2.26 (define @t87 () (@list @t37)) % 2.03/2.26 (define @t88 () (forall @t87 @t85)) % 2.03/2.26 (define @t89 () (@list @t39 @t36)) % 2.03/2.26 (define @t90 () (forall @t87 @t84)) % 2.03/2.26 (define @t91 () (or @t90 @t41)) % 2.03/2.26 (define @t92 () (forall @t89 (or (forall @t22 (or (not (tptp.in @t10 @t39)) (not (tptp.in @t10 @t36)))) @t41))) % 2.03/2.26 (define @t93 () (forall @t22 (or (not @t20) (not @t19)))) % 2.03/2.26 (define @t94 () (or @t93 @t27)) % 2.03/2.26 (define @t95 () (forall @t4 @t94)) % 2.03/2.26 (define @t96 () (@list @t1 @t2)) % 2.03/2.26 (define @t97 () (not @t93)) % 2.03/2.26 (define @t98 () (or @t16 @t97)) % 2.03/2.26 (define @t99 () (forall @t4 @t98)) % 2.03/2.26 (define @t100 () (and @t99 @t95)) % 2.03/2.26 (define @t101 () (and (not (and @t27 @t93)) (not (and @t97 @t16)))) % 2.03/2.26 (define @t102 () (not @t26)) % 2.03/2.26 (define @t103 () (not @t44)) % 2.03/2.26 (define @t104 () (@quantifiers_skolemize @t44 1)) % 2.03/2.26 (define @t105 () (tptp.in @t45 @t104)) % 2.03/2.26 (define @t106 () (not @t105)) % 2.03/2.26 (define @t107 () (@quantifiers_skolemize @t44 0)) % 2.03/2.26 (define @t108 () (tptp.in @t45 @t107)) % 2.03/2.26 (define @t109 () (not @t108)) % 2.03/2.26 (define @t110 () (tptp.disjoint @t107 @t104)) % 2.03/2.26 (define @t111 () (not @t110)) % 2.03/2.26 (define @t112 () (or @t111 @t109 @t106)) % 2.03/2.26 (define @t113 () (not @t112)) % 2.03/2.26 (define @t114 () (@list true)) % 2.03/2.26 (define @t115 () (@list @t112)) % 2.03/2.26 (define @t116 () (and @t108 @t105)) % 2.03/2.26 (define @t117 () (@list false false)) % 2.03/2.26 (define @t118 () (forall @t11 (= @t62 (and (tptp.in @t9 @t107) (tptp.in @t9 @t104))))) % 2.03/2.26 (define @t119 () (tptp.set_intersection2 @t107 @t104)) % 2.03/2.26 (define @t120 () (= @t119 tptp.empty_set)) % 2.03/2.26 (define @t121 () (= @t118 @t120)) % 2.03/2.26 (define @t122 () (= tptp.empty_set @t119)) % 2.03/2.26 (define @t123 () (= @t122 @t118)) % 2.03/2.26 (define @t124 () (= @t110 @t120)) % 2.03/2.26 (define @t125 () (= @t110 @t122)) % 2.03/2.26 (define @t126 () (tptp.in @t45 tptp.empty_set)) % 2.03/2.26 (define @t127 () (= @t126 @t116)) % 2.03/2.26 (assume @p1 (forall @t4 (=> (tptp.in @t1 @t2) @t3))) % 2.03/2.26 (assume @p2 (forall @t4 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 2.03/2.26 (assume @p3 @t8) % 2.03/2.26 (assume @p4 @t15) % 2.03/2.26 (assume @p5 @t17) % 2.03/2.26 (assume @p6 true) % 2.03/2.26 (assume @p7 (tptp.empty tptp.empty_set)) % 2.03/2.26 (assume @p8 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 2.03/2.26 (assume @p9 (exists @t7 @t18)) % 2.03/2.26 (assume @p10 (exists @t7 (not @t18))) % 2.03/2.26 (assume @p11 (forall @t4 (=> @t16 (tptp.disjoint @t2 @t1)))) % 2.03/2.26 (assume @p12 @t32) % 2.03/2.26 (step @p13 :rule bool-eq-true :args (@t33)) % 2.03/2.26 (step @p14 :rule eq-symm :args (true @t33)) % 2.03/2.26 (step @p15 :rule trans :premises (@p14 @p13)) % 2.03/2.26 (step @p16 :rule refl :args (@t33)) % 2.03/2.26 (step @p17 :rule eq-refl :args (tptp.empty_set)) % 2.03/2.26 (step @p18 :rule cong :premises (@p17 @p16) :args (@t34)) % 2.03/2.26 (step @p19 :rule trans :premises (@p18 @p15)) % 2.03/2.26 (step @p20 :rule refl :args (@t8)) % 2.03/2.26 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t8 @t34))) % 2.03/2.26 (assume-push @p228 @t8) % 2.03/2.26 (step @p23 :rule instantiate :premises (@p3) :args ((@list tptp.empty_set))) % 2.03/2.26 (step-pop @p229 :rule scope :premises (@p23)) % 2.03/2.26 (step @p24 :rule process_scope :premises (@p229) :args (@t34)) % 2.03/2.26 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 2.03/2.26 (step @p27 :rule implies_elim :premises (@p26)) % 2.03/2.26 (step @p28 :rule chain_m_resolution :premises (@p27 @p3) :args (@t33 @t35 (@list @t8))) % 2.03/2.26 (step @p29 :rule instantiate :premises (@p28) :args (@t46)) % 2.03/2.26 (step @p30 :rule cnf_or_neg :args (@t55 0)) % 2.03/2.26 (step @p31 :rule bool-double-not-elim :args (@t52)) % 2.03/2.26 (step @p32 :rule refl :args (@t55)) % 2.03/2.26 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t55 (not @t53)))) % 2.03/2.26 (step @p34 :rule cnf_or_neg :args (@t55 1)) % 2.03/2.26 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 2.03/2.26 (step @p36 :rule reordering :premises (@p35) :args ((or @t52 @t55))) % 2.03/2.26 (step @p37 :rule eq-symm :args (@t56 tptp.empty_set)) % 2.03/2.26 (step @p38 :rule refl :args (@t54)) % 2.03/2.26 (step @p39 :rule cong :premises (@p38 @p37) :args (@t58)) % 2.03/2.26 (step @p40 :rule refl :args (@t17)) % 2.03/2.26 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t17 @t58))) % 2.03/2.26 (assume-push @p230 @t17) % 2.03/2.26 (step @p43 :rule instantiate :premises (@p5) :args ((@list @t51 @t50))) % 2.03/2.26 (step-pop @p231 :rule scope :premises (@p43)) % 2.03/2.26 (step @p44 :rule process_scope :premises (@p231) :args (@t58)) % 2.03/2.26 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 2.03/2.26 (step @p47 :rule implies_elim :premises (@p46)) % 2.03/2.26 (step @p48 :rule chain_m_resolution :premises (@p47 @p5) :args (@t60 @t35 @t61)) % 2.03/2.26 (step @p49 :rule cnf_equiv_pos2 :args (@t60)) % 2.03/2.26 (step @p50 :rule reordering :premises (@p49) :args ((or @t54 (not @t59) (not @t60)))) % 2.03/2.26 (assume-push @p232 @t52) % 2.03/2.26 (step @p52 :rule instantiate :premises (@p232) :args (@t65)) % 2.03/2.26 (step-pop @p233 :rule scope :premises (@p52)) % 2.03/2.26 (step @p53 :rule process_scope :premises (@p233) :args (@t70)) % 2.03/2.26 (step @p55 :rule implies_elim :premises (@p53)) % 2.03/2.26 (step @p56 :rule eq-symm :args (@t71 @t12)) % 2.03/2.26 (step @p57 :rule refl :args (@t12)) % 2.03/2.26 (step @p58 :rule eq-symm :args (@t10 @t5)) % 2.03/2.26 (step @p59 :rule cong :premises (@p58 @p57) :args (@t13)) % 2.03/2.26 (step @p60 :rule trans :premises (@p59 @p56)) % 2.03/2.26 (step @p61 :rule cong :premises (@p60) :args (@t15)) % 2.03/2.26 (step @p62 :rule eq_resolve :premises (@p4 @p61)) % 2.03/2.26 (step @p63 :rule refl :args (@t63)) % 2.03/2.26 (step @p64 :rule cong :premises (@p37 @p63) :args ((= @t57 @t63))) % 2.03/2.26 (step @p65 :rule eq-symm :args (@t63 @t57)) % 2.03/2.26 (step @p66 :rule trans :premises (@p65 @p64)) % 2.03/2.26 (step @p67 :rule refl :args (@t72)) % 2.03/2.26 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t72 @t73))) % 2.03/2.26 (assume-push @p234 @t72) % 2.03/2.26 (step @p70 :rule instantiate :premises (@p62) :args ((@list @t51 @t50 tptp.empty_set))) % 2.03/2.26 (step-pop @p235 :rule scope :premises (@p70)) % 2.03/2.26 (step @p71 :rule process_scope :premises (@p235) :args (@t73)) % 2.03/2.26 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 2.03/2.26 (step @p74 :rule implies_elim :premises (@p73)) % 2.03/2.26 (step @p75 :rule chain_m_resolution :premises (@p74 @p62) :args (@t74 @t35 @t75)) % 2.03/2.26 (step @p76 :rule cnf_equiv_pos2 :args (@t74)) % 2.03/2.26 (step @p77 :rule reordering :premises (@p76) :args ((or @t59 @t76 (not @t74)))) % 2.03/2.26 (step @p78 :rule refl :args (@t80)) % 2.03/2.26 (step @p79 :rule bool-double-not-elim :args (@t63)) % 2.03/2.26 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or (not @t76) @t80))) % 2.03/2.26 (assume-push @p236 @t76) % 2.03/2.26 (step @p82 :rule skolemize :premises (@p236)) % 2.03/2.26 (step-pop @p237 :rule scope :premises (@p82)) % 2.03/2.26 (step @p83 :rule process_scope :premises (@p237) :args (@t80)) % 2.03/2.26 (step @p85 :rule implies_elim :premises (@p83)) % 2.03/2.26 (step @p86 :rule eq_resolve :premises (@p85 @p80)) % 2.03/2.26 (step @p87 :rule instantiate :premises (@p28) :args (@t65)) % 2.03/2.26 (step @p88 :rule cnf_equiv_neg1 :args (@t79)) % 2.03/2.26 (step @p89 :rule reordering :premises (@p88) :args ((or @t78 @t77 @t79))) % 2.03/2.26 (step @p90 :rule cnf_and_pos :args (@t77 0)) % 2.03/2.26 (step @p91 :rule reordering :premises (@p90) :args ((or @t68 @t81))) % 2.03/2.26 (step @p92 :rule cnf_and_pos :args (@t77 1)) % 2.03/2.26 (step @p93 :rule reordering :premises (@p92) :args ((or @t66 @t81))) % 2.03/2.26 (step @p94 :rule cnf_or_pos :args (@t70)) % 2.03/2.26 (step @p95 :rule reordering :premises (@p94) :args ((or @t69 @t67 (not @t70)))) % 2.03/2.26 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p91 @p89 @p87 @p86 @p77 @p75 @p55 @p50 @p48 @p36 @p30) :args (@t55 (@list false false false true true true false false true false false true) (@list @t66 @t68 @t77 @t78 @t79 @t63 @t74 @t70 @t59 @t60 @t52 @t54))) % 2.03/2.26 (step @p97 :rule refl :args (@t82)) % 2.03/2.26 (step @p98 :rule bool-double-not-elim :args (@t49)) % 2.03/2.26 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or (not @t83) @t82))) % 2.03/2.26 (assume-push @p238 @t83) % 2.03/2.26 (step @p101 :rule skolemize :premises (@p238)) % 2.03/2.26 (step-pop @p239 :rule scope :premises (@p101)) % 2.03/2.26 (step @p102 :rule process_scope :premises (@p239) :args (@t82)) % 2.03/2.26 (step @p104 :rule implies_elim :premises (@p102)) % 2.03/2.26 (step @p105 :rule eq_resolve :premises (@p104 @p99)) % 2.03/2.26 (step @p106 :rule chain_m_resolution :premises (@p105 @p96) :args (@t49 @t35 (@list @t55))) % 2.03/2.26 (step @p107 :rule aci_norm :args ((= @t85 @t42))) % 2.03/2.26 (step @p108 :rule cong :premises (@p107) :args (@t86)) % 2.03/2.26 (step @p109 :rule quant-merge-prenex :args ((= (forall @t89 @t88) @t86))) % 2.03/2.26 (step @p110 :rule refl :args (@t41)) % 2.03/2.26 (step @p111 :rule alpha_equiv :args (@t90 (@list @t37) (@list @t10))) % 2.03/2.26 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t91)) % 2.03/2.26 (step @p113 :rule quant-miniscope-or :args ((= @t88 @t91))) % 2.03/2.26 (step @p114 :rule trans :premises (@p113 @p112)) % 2.03/2.26 (step @p115 :rule symm :premises (@p114)) % 2.03/2.26 (step @p116 :rule cong :premises (@p115) :args (@t92)) % 2.03/2.26 (step @p117 :rule trans :premises (@p116 @p109)) % 2.03/2.26 (step @p118 :rule trans :premises (@p117 @p108)) % 2.03/2.26 (step @p119 :rule refl :args (@t49)) % 2.03/2.26 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((and @t49 @t92))) % 2.03/2.26 (step @p121 :rule alpha_equiv :args (@t95 @t96 (@list @t39 @t36))) % 2.03/2.26 (step @p122 :rule alpha_equiv :args (@t99 @t96 (@list @t48 @t47))) % 2.03/2.26 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t100)) % 2.03/2.26 (step @p124 :rule quant-miniscope-and :args ((= (forall @t4 (and @t98 @t94)) @t100))) % 2.03/2.26 (step @p125 :rule trans :premises (@p124 @p123)) % 2.03/2.26 (step @p126 :rule trans :premises (@p125 @p120)) % 2.03/2.26 (step @p127 :rule refl :args (@t27)) % 2.03/2.26 (step @p128 :rule bool-double-not-elim :args (@t93)) % 2.03/2.26 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or (not @t97) @t27))) % 2.03/2.26 (step @p130 :rule bool-and-de-morgan :args (@t97 @t16 true)) % 2.03/2.26 (step @p131 :rule trans :premises (@p130 @p129)) % 2.03/2.26 (step @p132 :rule refl :args (@t97)) % 2.03/2.26 (step @p133 :rule bool-double-not-elim :args (@t16)) % 2.03/2.26 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or (not @t27) @t97))) % 2.03/2.26 (step @p135 :rule bool-and-de-morgan :args (@t27 @t93 true)) % 2.03/2.26 (step @p136 :rule trans :premises (@p135 @p134)) % 2.03/2.26 (step @p137 :rule nary_cong :premises (@p136 @p131) :args (@t101)) % 2.03/2.26 (step @p138 :rule cong :premises (@p137) :args ((forall @t4 @t101))) % 2.03/2.26 (step @p139 :rule trans :premises (@p138 @p126)) % 2.03/2.26 (step @p140 :rule refl :args (@t16)) % 2.03/2.26 (step @p141 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 2.03/2.26 (step @p142 :rule cong :premises (@p141) :args (@t26)) % 2.03/2.26 (step @p143 :rule cong :premises (@p142) :args (@t102)) % 2.03/2.26 (step @p144 :rule exists-elim :args ((= @t23 @t102))) % 2.03/2.26 (step @p145 :rule trans :premises (@p144 @p143)) % 2.03/2.26 (step @p146 :rule nary_cong :premises (@p145 @p140) :args (@t24)) % 2.03/2.26 (step @p147 :rule cong :premises (@p146) :args (@t25)) % 2.03/2.26 (step @p148 :rule refl :args (@t27)) % 2.03/2.26 (step @p149 :rule nary_cong :premises (@p148 @p142) :args (@t28)) % 2.03/2.26 (step @p150 :rule cong :premises (@p149) :args (@t29)) % 2.03/2.26 (step @p151 :rule nary_cong :premises (@p150 @p147) :args (@t30)) % 2.03/2.26 (step @p152 :rule cong :premises (@p151) :args (@t31)) % 2.03/2.26 (step @p153 :rule trans :premises (@p152 @p139)) % 2.03/2.26 (step @p154 :rule cong :premises (@p153) :args (@t32)) % 2.03/2.26 (step @p155 :rule eq_resolve :premises (@p12 @p154)) % 2.03/2.26 (step @p156 :rule not_and :premises (@p155)) % 2.03/2.26 (step @p157 :rule chain_m_resolution :premises (@p156 @p106) :args (@t103 @t35 (@list @t49))) % 2.03/2.26 (step @p158 :rule refl :args (@t113)) % 2.03/2.26 (step @p159 :rule bool-double-not-elim :args (@t44)) % 2.03/2.26 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or (not @t103) @t113))) % 2.03/2.26 (assume-push @p240 @t103) % 2.03/2.26 (step @p162 :rule skolemize :premises (@p240)) % 2.03/2.26 (step-pop @p241 :rule scope :premises (@p162)) % 2.03/2.26 (step @p163 :rule process_scope :premises (@p241) :args (@t113)) % 2.03/2.26 (step @p165 :rule implies_elim :premises (@p163)) % 2.03/2.26 (step @p166 :rule eq_resolve :premises (@p165 @p160)) % 2.03/2.26 (step @p167 :rule chain_m_resolution :premises (@p166 @p157) :args (@t113 @t114 (@list @t44))) % 2.03/2.26 (step @p168 :rule bool-double-not-elim :args (@t105)) % 2.03/2.26 (step @p169 :rule refl :args (@t112)) % 2.03/2.26 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t112 (not @t106)))) % 2.03/2.26 (step @p171 :rule cnf_or_neg :args (@t112 2)) % 2.03/2.26 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 2.03/2.26 (step @p173 :rule reordering :premises (@p172) :args ((or @t105 @t112))) % 2.03/2.26 (step @p174 :rule chain_m_resolution :premises (@p173 @p167) :args (@t105 @t114 @t115)) % 2.03/2.26 (step @p175 :rule bool-double-not-elim :args (@t108)) % 2.03/2.26 (step @p176 :rule nary_cong :premises (@p169 @p175) :args ((or @t112 (not @t109)))) % 2.03/2.26 (step @p177 :rule cnf_or_neg :args (@t112 1)) % 2.03/2.26 (step @p178 :rule eq_resolve :premises (@p177 @p176)) % 2.03/2.26 (step @p179 :rule reordering :premises (@p178) :args ((or @t108 @t112))) % 2.03/2.26 (step @p180 :rule chain_m_resolution :premises (@p179 @p167) :args (@t108 @t114 @t115)) % 2.03/2.26 (step @p181 :rule cnf_and_neg :args (@t116)) % 2.03/2.26 (step @p182 :rule reordering :premises (@p181) :args ((or @t109 @t106 @t116))) % 2.03/2.26 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p174) :args (@t116 @t117 (@list @t108 @t105))) % 2.03/2.26 (step @p184 :rule refl :args (@t118)) % 2.03/2.26 (step @p185 :rule eq-symm :args (@t119 tptp.empty_set)) % 2.03/2.26 (step @p186 :rule cong :premises (@p185 @p184) :args ((= @t120 @t118))) % 2.03/2.26 (step @p187 :rule eq-symm :args (@t118 @t120)) % 2.03/2.26 (step @p188 :rule trans :premises (@p187 @p186)) % 2.03/2.26 (step @p189 :rule cong :premises (@p67 @p188) :args ((=> @t72 @t121))) % 2.03/2.26 (assume-push @p242 @t72) % 2.03/2.26 (step @p191 :rule instantiate :premises (@p62) :args ((@list @t107 @t104 tptp.empty_set))) % 2.03/2.26 (step-pop @p243 :rule scope :premises (@p191)) % 2.03/2.27 (step @p192 :rule process_scope :premises (@p243) :args (@t121)) % 2.03/2.27 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 2.03/2.27 (step @p195 :rule implies_elim :premises (@p194)) % 2.03/2.27 (step @p196 :rule chain_m_resolution :premises (@p195 @p62) :args (@t123 @t35 @t75)) % 2.03/2.27 (step @p197 :rule refl :args (@t110)) % 2.03/2.27 (step @p198 :rule cong :premises (@p197 @p185) :args (@t124)) % 2.03/2.27 (step @p199 :rule cong :premises (@p40 @p198) :args ((=> @t17 @t124))) % 2.03/2.27 (assume-push @p244 @t17) % 2.03/2.27 (step @p201 :rule instantiate :premises (@p5) :args ((@list @t107 @t104))) % 2.03/2.27 (step-pop @p245 :rule scope :premises (@p201)) % 2.03/2.27 (step @p202 :rule process_scope :premises (@p245) :args (@t124)) % 2.03/2.27 (step @p204 :rule eq_resolve :premises (@p202 @p199)) % 2.03/2.27 (step @p205 :rule implies_elim :premises (@p204)) % 2.03/2.27 (step @p206 :rule chain_m_resolution :premises (@p205 @p5) :args (@t125 @t35 @t61)) % 2.03/2.27 (step @p207 :rule bool-double-not-elim :args (@t110)) % 2.03/2.27 (step @p208 :rule nary_cong :premises (@p169 @p207) :args ((or @t112 (not @t111)))) % 2.03/2.27 (step @p209 :rule cnf_or_neg :args (@t112 0)) % 2.03/2.27 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 2.03/2.27 (step @p211 :rule reordering :premises (@p210) :args ((or @t110 @t112))) % 2.03/2.27 (step @p212 :rule chain_m_resolution :premises (@p211 @p167) :args (@t110 @t114 @t115)) % 2.03/2.27 (step @p213 :rule cnf_equiv_pos1 :args (@t125)) % 2.03/2.27 (step @p214 :rule reordering :premises (@p213) :args ((or @t111 @t122 (not @t125)))) % 2.03/2.27 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p206) :args (@t122 @t117 (@list @t110 @t125))) % 2.03/2.27 (step @p216 :rule cnf_equiv_pos1 :args (@t123)) % 2.03/2.27 (step @p217 :rule reordering :premises (@p216) :args ((or (not @t122) @t118 (not @t123)))) % 2.03/2.27 (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p196) :args (@t118 @t117 (@list @t122 @t123))) % 2.03/2.27 (assume-push @p246 @t118) % 2.03/2.27 (step @p220 :rule instantiate :premises (@p246) :args (@t46)) % 2.03/2.27 (step-pop @p247 :rule scope :premises (@p220)) % 2.03/2.27 (step @p221 :rule process_scope :premises (@p247) :args (@t127)) % 2.03/2.27 (step @p223 :rule implies_elim :premises (@p221)) % 2.03/2.27 (step @p224 :rule chain_m_resolution :premises (@p223 @p218) :args (@t127 @t35 (@list @t118))) % 2.03/2.27 (step @p225 :rule cnf_equiv_pos2 :args (@t127)) % 2.03/2.27 (step @p226 :rule reordering :premises (@p225) :args ((or @t126 (not @t116) (not @t127)))) % 2.03/2.27 (step @p227 false :rule chain_m_resolution :premises (@p226 @p224 @p183 @p29) :args (false (@list false false true) (@list @t127 @t116 @t126))) % 2.03/2.27 ) % 2.03/2.27 % SZS output end Proof % 2.03/2.27 % cvc5 exiting %------------------------------------------------------------------------------