%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET935+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:49:01 AM UTC 2026 % Result : Theorem 33.53s 33.80s % Output : Proof 33.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET935+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:19:13 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 33.53/33.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.53/33.80 --- Run --no-e-matching --full-saturate-quant at 6... % 33.53/33.80 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.53/33.80 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.53/33.80 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.53/33.80 % SZS status Theorem % 33.53/33.80 % SZS output start Proof % 33.53/33.80 ( % 33.53/33.80 (declare-sort $$unsorted 0) % 33.53/33.80 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.53/33.80 (declare-const tptp.inclusion_comparable (-> $$unsorted $$unsorted Bool)) % 33.53/33.80 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.53/33.80 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 33.53/33.80 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 33.53/33.80 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.53/33.80 (define @t1 () (@var "A" $$unsorted)) % 33.53/33.80 (define @t2 () (@var "B" $$unsorted)) % 33.53/33.80 (define @t3 () (@list @t1 @t2)) % 33.53/33.80 (define @t4 () (tptp.set_union2 @t2 @t1)) % 33.53/33.80 (define @t5 () (tptp.set_union2 @t1 @t2)) % 33.53/33.80 (define @t6 () (tptp.subset @t2 @t1)) % 33.53/33.80 (define @t7 () (tptp.subset @t1 @t2)) % 33.53/33.80 (define @t8 () (forall @t3 (= (= @t1 @t2) (and @t7 @t6)))) % 33.53/33.80 (define @t9 () (@var "C" $$unsorted)) % 33.53/33.80 (define @t10 () (@list @t9)) % 33.53/33.80 (define @t11 () (tptp.powerset @t1)) % 33.53/33.80 (define @t12 () (forall @t3 (= (= @t2 @t11) (forall @t10 (= (tptp.in @t9 @t2) (tptp.subset @t9 @t1)))))) % 33.53/33.80 (define @t13 () (@var "D" $$unsorted)) % 33.53/33.80 (define @t14 () (@list @t13)) % 33.53/33.80 (define @t15 () (forall @t14 (= (tptp.in @t13 @t9) (or (tptp.in @t13 @t1) (tptp.in @t13 @t2))))) % 33.53/33.80 (define @t16 () (= (= @t9 @t5) @t15)) % 33.53/33.80 (define @t17 () (@list @t1 @t2 @t9)) % 33.53/33.80 (define @t18 () (forall @t17 @t16)) % 33.53/33.80 (define @t19 () (tptp.inclusion_comparable @t1 @t2)) % 33.53/33.80 (define @t20 () (tptp.empty @t1)) % 33.53/33.80 (define @t21 () (not @t20)) % 33.53/33.80 (define @t22 () (@list @t1)) % 33.53/33.80 (define @t23 () (= (tptp.set_union2 @t11 (tptp.powerset @t2)) (tptp.powerset @t5))) % 33.53/33.80 (define @t24 () (forall @t3 (=> @t23 @t19))) % 33.53/33.80 (define @t25 () (not @t24)) % 33.53/33.80 (define @t26 () (forall @t3 (or (not @t23) @t19))) % 33.53/33.80 (define @t27 () (@quantifiers_skolemize @t26 0)) % 33.53/33.80 (define @t28 () (tptp.powerset @t27)) % 33.53/33.80 (define @t29 () (tptp.in @t9 @t28)) % 33.53/33.80 (define @t30 () (tptp.subset @t9 @t27)) % 33.53/33.80 (define @t31 () (forall @t10 (= @t30 @t29))) % 33.53/33.80 (define @t32 () (forall @t10 (= @t29 @t30))) % 33.53/33.80 (define @t33 () (= (= @t28 @t28) @t32)) % 33.53/33.80 (define @t34 () (@list false)) % 33.53/33.80 (define @t35 () (@list @t12)) % 33.53/33.80 (define @t36 () (= @t5 @t9)) % 33.53/33.80 (define @t37 () (@quantifiers_skolemize @t26 1)) % 33.53/33.80 (define @t38 () (tptp.powerset @t37)) % 33.53/33.80 (define @t39 () (tptp.set_union2 @t28 @t38)) % 33.53/33.80 (define @t40 () (forall @t14 (= (tptp.in @t13 @t39) (or (tptp.in @t13 @t28) (tptp.in @t13 @t38))))) % 33.53/33.80 (define @t41 () (= @t40 (= @t39 @t39))) % 33.53/33.80 (define @t42 () (forall @t17 (= @t15 @t36))) % 33.53/33.80 (define @t43 () (tptp.set_union2 @t27 @t37)) % 33.53/33.80 (define @t44 () (@list @t43)) % 33.53/33.80 (define @t45 () (tptp.powerset @t43)) % 33.53/33.80 (define @t46 () (forall @t10 (= (tptp.in @t9 @t45) (tptp.subset @t9 @t43)))) % 33.53/33.80 (define @t47 () (= (= @t45 @t45) @t46)) % 33.53/33.80 (define @t48 () (tptp.subset @t43 @t43)) % 33.53/33.80 (define @t49 () (and @t48 @t48)) % 33.53/33.80 (define @t50 () (= (= @t43 @t43) @t49)) % 33.53/33.80 (define @t51 () (tptp.in @t43 @t45)) % 33.53/33.80 (define @t52 () (= @t51 @t48)) % 33.53/33.80 (define @t53 () (@list false false)) % 33.53/33.80 (define @t54 () (= @t39 @t45)) % 33.53/33.80 (define @t55 () (tptp.inclusion_comparable @t27 @t37)) % 33.53/33.80 (define @t56 () (not @t54)) % 33.53/33.80 (define @t57 () (or @t56 @t55)) % 33.53/33.80 (define @t58 () (@list true)) % 33.53/33.80 (define @t59 () (@list @t57)) % 33.53/33.80 (define @t60 () (tptp.in @t43 @t39)) % 33.53/33.80 (define @t61 () (tptp.in @t43 @t38)) % 33.53/33.80 (define @t62 () (tptp.in @t43 @t28)) % 33.53/33.80 (define @t63 () (or @t62 @t61)) % 33.53/33.80 (define @t64 () (= @t60 @t63)) % 33.53/33.80 (define @t65 () (forall @t10 (= (tptp.in @t9 @t38) (tptp.subset @t9 @t37)))) % 33.53/33.80 (define @t66 () (= (= @t38 @t38) @t65)) % 33.53/33.80 (define @t67 () (tptp.set_union2 @t37 @t27)) % 33.53/33.80 (define @t68 () (@list @t27 @t37)) % 33.53/33.80 (define @t69 () (tptp.subset @t37 @t27)) % 33.53/33.80 (define @t70 () (tptp.subset @t27 @t37)) % 33.53/33.80 (define @t71 () (or @t70 @t69)) % 33.53/33.80 (define @t72 () (= @t55 @t71)) % 33.53/33.80 (define @t73 () (not @t71)) % 33.53/33.80 (define @t74 () (@list true false)) % 33.53/33.80 (define @t75 () (not @t70)) % 33.53/33.80 (define @t76 () (@list @t71)) % 33.53/33.80 (define @t77 () (= @t37 @t67)) % 33.53/33.80 (define @t78 () (not @t77)) % 33.53/33.80 (define @t79 () (tptp.subset @t27 @t43)) % 33.53/33.80 (define @t80 () (not @t79)) % 33.53/33.80 (define @t81 () (= @t43 @t67)) % 33.53/33.80 (define @t82 () (not @t81)) % 33.53/33.80 (define @t83 () (= false true)) % 33.53/33.80 (define @t84 () (and @t79 @t81 @t77 @t75)) % 33.53/33.80 (define @t85 () (@list true false false)) % 33.53/33.80 (define @t86 () (tptp.subset @t67 @t37)) % 33.53/33.80 (define @t87 () (tptp.subset @t37 @t67)) % 33.53/33.80 (define @t88 () (and @t87 @t86)) % 33.53/33.80 (define @t89 () (= @t77 @t88)) % 33.53/33.80 (define @t90 () (not @t88)) % 33.53/33.80 (define @t91 () (not @t86)) % 33.53/33.80 (define @t92 () (not @t87)) % 33.53/33.80 (define @t93 () (@list false true)) % 33.53/33.80 (define @t94 () (tptp.subset @t43 @t37)) % 33.53/33.80 (define @t95 () (not @t94)) % 33.53/33.80 (define @t96 () (and @t81 @t91)) % 33.53/33.80 (define @t97 () (= @t61 @t94)) % 33.53/33.80 (define @t98 () (not @t61)) % 33.53/33.80 (define @t99 () (not @t69)) % 33.53/33.80 (define @t100 () (= @t27 @t43)) % 33.53/33.80 (define @t101 () (not @t100)) % 33.53/33.80 (define @t102 () (and @t87 @t81 @t100 @t99)) % 33.53/33.80 (define @t103 () (tptp.subset @t43 @t27)) % 33.53/33.80 (define @t104 () (and @t79 @t103)) % 33.53/33.80 (define @t105 () (= @t100 @t104)) % 33.53/33.80 (define @t106 () (not @t104)) % 33.53/33.80 (define @t107 () (not @t103)) % 33.53/33.80 (define @t108 () (= @t103 @t62)) % 33.53/33.80 (define @t109 () (not @t108)) % 33.53/33.80 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 33.53/33.80 (assume @p2 (forall @t3 (= @t5 @t4))) % 33.53/33.80 (assume @p3 @t8) % 33.53/33.80 (assume @p4 @t12) % 33.53/33.80 (assume @p5 @t18) % 33.53/33.80 (assume @p6 (forall @t3 (= @t19 (or @t7 @t6)))) % 33.53/33.80 (assume @p7 (forall @t3 (=> @t21 (not (tptp.empty @t5))))) % 33.53/33.80 (assume @p8 (forall @t3 (=> @t21 (not (tptp.empty @t4))))) % 33.53/33.80 (assume @p9 (forall @t3 (= (tptp.set_union2 @t1 @t1) @t1))) % 33.53/33.80 (assume @p10 (exists @t22 @t20)) % 33.53/33.80 (assume @p11 (exists @t22 @t21)) % 33.53/33.80 (assume @p12 (forall @t3 (tptp.subset @t1 @t1))) % 33.53/33.80 (assume @p13 (forall @t3 (tptp.inclusion_comparable @t1 @t1))) % 33.53/33.80 (assume @p14 (forall @t3 (=> @t19 (tptp.inclusion_comparable @t2 @t1)))) % 33.53/33.80 (assume @p15 (forall @t3 (tptp.subset @t1 @t5))) % 33.53/33.80 (assume @p16 @t25) % 33.53/33.80 (assume @p17 true) % 33.53/33.80 (step @p18 :rule bool-eq-true :args (@t31)) % 33.53/33.80 (step @p19 :rule eq-symm :args (true @t31)) % 33.53/33.80 (step @p20 :rule trans :premises (@p19 @p18)) % 33.53/33.80 (step @p21 :rule eq-symm :args (@t29 @t30)) % 33.53/33.80 (step @p22 :rule cong :premises (@p21) :args (@t32)) % 33.53/33.80 (step @p23 :rule eq-refl :args (@t28)) % 33.53/33.80 (step @p24 :rule cong :premises (@p23 @p22) :args (@t33)) % 33.53/33.80 (step @p25 :rule trans :premises (@p24 @p20)) % 33.58/33.80 (step @p26 :rule refl :args (@t12)) % 33.58/33.80 (step @p27 :rule cong :premises (@p26 @p25) :args ((=> @t12 @t33))) % 33.58/33.80 (assume-push @p271 @t12) % 33.58/33.80 (step @p29 :rule instantiate :premises (@p4) :args ((@list @t27 @t28))) % 33.58/33.80 (step-pop @p272 :rule scope :premises (@p29)) % 33.58/33.80 (step @p30 :rule process_scope :premises (@p272) :args (@t33)) % 33.58/33.80 (step @p32 :rule eq_resolve :premises (@p30 @p27)) % 33.58/33.80 (step @p33 :rule implies_elim :premises (@p32)) % 33.58/33.80 (step @p34 :rule chain_m_resolution :premises (@p33 @p4) :args (@t31 @t34 @t35)) % 33.58/33.80 (step @p35 :rule eq-symm :args (@t36 @t15)) % 33.58/33.80 (step @p36 :rule refl :args (@t15)) % 33.58/33.80 (step @p37 :rule eq-symm :args (@t9 @t5)) % 33.58/33.80 (step @p38 :rule cong :premises (@p37 @p36) :args (@t16)) % 33.58/33.80 (step @p39 :rule trans :premises (@p38 @p35)) % 33.58/33.80 (step @p40 :rule cong :premises (@p39) :args (@t18)) % 33.58/33.80 (step @p41 :rule eq_resolve :premises (@p5 @p40)) % 33.58/33.80 (step @p42 :rule bool-eq-true :args (@t40)) % 33.58/33.80 (step @p43 :rule eq-refl :args (@t39)) % 33.58/33.80 (step @p44 :rule refl :args (@t40)) % 33.58/33.80 (step @p45 :rule cong :premises (@p44 @p43) :args (@t41)) % 33.58/33.80 (step @p46 :rule trans :premises (@p45 @p42)) % 33.58/33.80 (step @p47 :rule refl :args (@t42)) % 33.58/33.80 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t42 @t41))) % 33.58/33.80 (assume-push @p273 @t42) % 33.58/33.80 (step @p50 :rule instantiate :premises (@p41) :args ((@list @t28 @t38 @t39))) % 33.58/33.80 (step-pop @p274 :rule scope :premises (@p50)) % 33.58/33.80 (step @p51 :rule process_scope :premises (@p274) :args (@t41)) % 33.58/33.80 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 33.58/33.80 (step @p54 :rule implies_elim :premises (@p53)) % 33.58/33.80 (step @p55 :rule chain_m_resolution :premises (@p54 @p41) :args (@t40 @t34 (@list @t42))) % 33.58/33.80 (step @p56 :rule instantiate :premises (@p55) :args (@t44)) % 33.58/33.80 (step @p57 :rule bool-eq-true :args (@t46)) % 33.58/33.80 (step @p58 :rule eq-symm :args (true @t46)) % 33.58/33.80 (step @p59 :rule trans :premises (@p58 @p57)) % 33.58/33.80 (step @p60 :rule refl :args (@t46)) % 33.58/33.80 (step @p61 :rule eq-refl :args (@t45)) % 33.58/33.80 (step @p62 :rule cong :premises (@p61 @p60) :args (@t47)) % 33.58/33.80 (step @p63 :rule trans :premises (@p62 @p59)) % 33.58/33.80 (step @p64 :rule cong :premises (@p26 @p63) :args ((=> @t12 @t47))) % 33.58/33.80 (assume-push @p275 @t12) % 33.58/33.80 (step @p66 :rule instantiate :premises (@p4) :args ((@list @t43 @t45))) % 33.58/33.80 (step-pop @p276 :rule scope :premises (@p66)) % 33.58/33.80 (step @p67 :rule process_scope :premises (@p276) :args (@t47)) % 33.58/33.80 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 33.58/33.80 (step @p70 :rule implies_elim :premises (@p69)) % 33.58/33.80 (step @p71 :rule chain_m_resolution :premises (@p70 @p4) :args (@t46 @t34 @t35)) % 33.58/33.80 (step @p72 :rule instantiate :premises (@p71) :args (@t44)) % 33.58/33.80 (step @p73 :rule bool-eq-true :args (@t48)) % 33.58/33.80 (step @p74 :rule eq-symm :args (true @t48)) % 33.58/33.80 (step @p75 :rule trans :premises (@p74 @p73)) % 33.58/33.80 (step @p76 :rule aci_norm :args ((= @t49 @t48))) % 33.58/33.80 (step @p77 :rule eq-refl :args (@t43)) % 33.58/33.80 (step @p78 :rule cong :premises (@p77 @p76) :args (@t50)) % 33.58/33.80 (step @p79 :rule trans :premises (@p78 @p75)) % 33.58/33.80 (step @p80 :rule refl :args (@t8)) % 33.58/33.80 (step @p81 :rule cong :premises (@p80 @p79) :args ((=> @t8 @t50))) % 33.58/33.80 (assume-push @p277 @t8) % 33.58/33.80 (step @p83 :rule instantiate :premises (@p3) :args ((@list @t43 @t43))) % 33.58/33.80 (step-pop @p278 :rule scope :premises (@p83)) % 33.58/33.80 (step @p84 :rule process_scope :premises (@p278) :args (@t50)) % 33.58/33.80 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 33.58/33.80 (step @p87 :rule implies_elim :premises (@p86)) % 33.58/33.80 (step @p88 :rule chain_m_resolution :premises (@p87 @p3) :args (@t48 @t34 (@list @t8))) % 33.58/33.80 (step @p89 :rule cnf_equiv_pos2 :args (@t52)) % 33.58/33.80 (step @p90 :rule reordering :premises (@p89) :args ((or @t51 (not @t48) (not @t52)))) % 33.58/33.80 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p72) :args (@t51 @t53 (@list @t48 @t52))) % 33.58/33.80 (step @p92 :rule true_intro :premises (@p91)) % 33.58/33.80 (step @p93 :rule bool-impl-elim :args (@t23 @t19)) % 33.58/33.80 (step @p94 :rule cong :premises (@p93) :args (@t24)) % 33.58/33.80 (step @p95 :rule cong :premises (@p94) :args (@t25)) % 33.58/33.80 (step @p96 :rule eq_resolve :premises (@p16 @p95)) % 33.58/33.80 (step @p97 :rule skolemize :premises (@p96)) % 33.58/33.80 (step @p98 :rule bool-double-not-elim :args (@t54)) % 33.58/33.80 (step @p99 :rule refl :args (@t57)) % 33.58/33.80 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t57 (not @t56)))) % 33.58/33.80 (step @p101 :rule cnf_or_neg :args (@t57 0)) % 33.58/33.80 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 33.58/33.80 (step @p103 :rule reordering :premises (@p102) :args ((or @t54 @t57))) % 33.58/33.80 (step @p104 :rule chain_m_resolution :premises (@p103 @p97) :args (@t54 @t58 @t59)) % 33.58/33.80 (step @p105 :rule refl :args (@t43)) % 33.58/33.80 (step @p106 :rule cong :premises (@p105 @p104) :args (@t60)) % 33.58/33.80 (step @p107 :rule trans :premises (@p106 @p92)) % 33.58/33.80 (step @p108 :rule true_elim :premises (@p107)) % 33.58/33.80 (step @p109 :rule cnf_equiv_pos1 :args (@t64)) % 33.58/33.80 (step @p110 :rule reordering :premises (@p109) :args ((or @t63 (not @t60) (not @t64)))) % 33.58/33.80 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p56) :args (@t63 @t53 (@list @t60 @t64))) % 33.58/33.80 (step @p112 :rule bool-eq-true :args (@t65)) % 33.58/33.80 (step @p113 :rule eq-symm :args (true @t65)) % 33.58/33.80 (step @p114 :rule trans :premises (@p113 @p112)) % 33.58/33.80 (step @p115 :rule refl :args (@t65)) % 33.58/33.80 (step @p116 :rule eq-refl :args (@t38)) % 33.58/33.80 (step @p117 :rule cong :premises (@p116 @p115) :args (@t66)) % 33.58/33.80 (step @p118 :rule trans :premises (@p117 @p114)) % 33.58/33.80 (step @p119 :rule cong :premises (@p26 @p118) :args ((=> @t12 @t66))) % 33.58/33.80 (assume-push @p279 @t12) % 33.58/33.80 (step @p121 :rule instantiate :premises (@p4) :args ((@list @t37 @t38))) % 33.58/33.80 (step-pop @p280 :rule scope :premises (@p121)) % 33.58/33.80 (step @p122 :rule process_scope :premises (@p280) :args (@t66)) % 33.58/33.80 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 33.58/33.80 (step @p125 :rule implies_elim :premises (@p124)) % 33.58/33.80 (step @p126 :rule chain_m_resolution :premises (@p125 @p4) :args (@t65 @t34 @t35)) % 33.58/33.80 (step @p127 :rule instantiate :premises (@p126) :args (@t44)) % 33.58/33.80 (step @p128 :rule instantiate :premises (@p3) :args ((@list @t37 @t67))) % 33.58/33.80 (step @p129 :rule instantiate :premises (@p15) :args (@t68)) % 33.58/33.80 (step @p130 :rule instantiate :premises (@p2) :args (@t68)) % 33.58/33.80 (step @p131 :rule instantiate :premises (@p6) :args (@t68)) % 33.58/33.80 (step @p132 :rule cnf_or_neg :args (@t57 1)) % 33.58/33.80 (step @p133 :rule chain_m_resolution :premises (@p132 @p97) :args ((not @t55) @t58 @t59)) % 33.58/33.80 (step @p134 :rule cnf_equiv_pos2 :args (@t72)) % 33.58/33.80 (step @p135 :rule reordering :premises (@p134) :args ((or @t55 @t73 (not @t72)))) % 33.58/33.80 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p131) :args (@t73 @t74 (@list @t55 @t72))) % 33.58/33.80 (step @p137 :rule cnf_or_neg :args (@t71 0)) % 33.58/33.80 (step @p138 :rule chain_m_resolution :premises (@p137 @p136) :args (@t75 @t58 @t76)) % 33.58/33.80 (step @p139 :rule refl :args (@t78)) % 33.58/33.80 (step @p140 :rule bool-double-not-elim :args (@t70)) % 33.58/33.80 (step @p141 :rule refl :args (@t80)) % 33.58/33.80 (step @p142 :rule refl :args (@t82)) % 33.58/33.80 (step @p143 :rule nary_cong :premises (@p142 @p141 @p140 @p139) :args ((or @t82 @t80 (not @t75) @t78))) % 33.58/33.80 (assume-push @p281 @t79) % 33.58/33.80 (assume-push @p282 @t81) % 33.58/33.80 (assume-push @p283 @t77) % 33.58/33.80 (assume-push @p284 @t75) % 33.58/33.80 (step @p148 :rule evaluate :args (@t83)) % 33.58/33.80 (step @p149 :rule true_intro :premises (@p129)) % 33.58/33.80 (step @p150 :rule symm :premises (@p130)) % 33.58/33.80 (step @p151 :rule trans :premises (@p283 @p150)) % 33.58/33.80 (step @p152 :rule refl :args (@t27)) % 33.58/33.80 (step @p153 :rule cong :premises (@p152 @p151) :args (@t70)) % 33.58/33.80 (step @p154 :rule false_intro :premises (@p138)) % 33.58/33.80 (step @p155 :rule symm :premises (@p154)) % 33.58/33.80 (step @p156 :rule trans :premises (@p155 @p153 @p149)) % 33.58/33.80 (step @p157 false :rule eq_resolve :premises (@p156 @p148)) % 33.58/33.80 (step-pop @p285 :rule scope :premises (@p157)) % 33.58/33.80 (step-pop @p286 :rule scope :premises (@p285)) % 33.58/33.80 (step-pop @p287 :rule scope :premises (@p286)) % 33.58/33.80 (step-pop @p288 :rule scope :premises (@p287)) % 33.58/33.80 (step @p158 :rule process_scope :premises (@p288) :args (false)) % 33.58/33.80 (assume-push @p289 @t81) % 33.58/33.80 (assume-push @p290 @t79) % 33.58/33.80 (assume-push @p291 @t75) % 33.58/33.80 (assume-push @p292 @t77) % 33.58/33.80 (step @p167 :rule and_intro :premises (@p129 @p130 @p292 @p138)) % 33.58/33.80 (step-pop @p293 :rule scope :premises (@p167)) % 33.58/33.80 (step-pop @p294 :rule scope :premises (@p293)) % 33.58/33.80 (step-pop @p295 :rule scope :premises (@p294)) % 33.58/33.80 (step-pop @p296 :rule scope :premises (@p295)) % 33.58/33.80 (step @p168 :rule process_scope :premises (@p296) :args (@t84)) % 33.58/33.80 (step @p173 :rule implies_elim :premises (@p168)) % 33.58/33.80 (step @p174 :rule resolution :premises (@p173 @p158) :args (true @t84)) % 33.58/33.80 (step @p175 :rule not_and :premises (@p174)) % 33.58/33.80 (step @p176 :rule eq_resolve :premises (@p175 @p143)) % 33.58/33.80 (step @p177 :rule reordering :premises (@p176) :args ((or @t70 @t82 @t80 @t78))) % 33.58/33.80 (step @p178 :rule chain_m_resolution :premises (@p177 @p138 @p130 @p129) :args (@t78 @t85 (@list @t70 @t81 @t79))) % 33.58/33.80 (step @p179 :rule cnf_equiv_pos2 :args (@t89)) % 33.58/33.80 (step @p180 :rule reordering :premises (@p179) :args ((or @t77 @t90 (not @t89)))) % 33.58/33.80 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p128) :args (@t90 @t74 (@list @t77 @t89))) % 33.58/33.80 (step @p182 :rule instantiate :premises (@p15) :args ((@list @t37 @t27))) % 33.58/33.80 (step @p183 :rule cnf_and_neg :args (@t88)) % 33.58/33.80 (step @p184 :rule reordering :premises (@p183) :args ((or @t92 @t88 @t91))) % 33.58/33.80 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p181) :args (@t91 @t93 (@list @t87 @t88))) % 33.58/33.80 (step @p186 :rule refl :args (@t95)) % 33.58/33.80 (step @p187 :rule bool-double-not-elim :args (@t86)) % 33.58/33.80 (step @p188 :rule nary_cong :premises (@p142 @p187 @p186) :args ((or @t82 (not @t91) @t95))) % 33.58/33.80 (assume-push @p297 @t81) % 33.58/33.80 (assume-push @p298 @t91) % 33.58/33.80 (assume-push @p299 @t91) % 33.58/33.80 (assume-push @p300 @t81) % 33.58/33.80 (step @p193 :rule false_intro :premises (@p298)) % 33.58/33.80 (step @p194 :rule refl :args (@t37)) % 33.58/33.80 (step @p195 :rule cong :premises (@p130 @p194) :args (@t94)) % 33.58/33.80 (step @p196 :rule trans :premises (@p195 @p193)) % 33.58/33.80 (step @p197 :rule false_elim :premises (@p196)) % 33.58/33.80 (step-pop @p301 :rule scope :premises (@p197)) % 33.58/33.80 (step-pop @p302 :rule scope :premises (@p301)) % 33.58/33.80 (step @p198 :rule process_scope :premises (@p302) :args (@t95)) % 33.58/33.80 (step @p201 :rule and_intro :premises (@p298 @p130)) % 33.58/33.80 (step @p202 :rule modus_ponens :premises (@p201 @p198)) % 33.58/33.80 (step-pop @p303 :rule scope :premises (@p202)) % 33.58/33.80 (step-pop @p304 :rule scope :premises (@p303)) % 33.58/33.80 (step @p203 :rule process_scope :premises (@p304) :args (@t95)) % 33.58/33.80 (step @p206 :rule implies_elim :premises (@p203)) % 33.58/33.80 (step @p207 :rule cnf_and_neg :args (@t96)) % 33.58/33.80 (step @p208 :rule resolution :premises (@p207 @p206) :args (true @t96)) % 33.58/33.80 (step @p209 :rule eq_resolve :premises (@p208 @p188)) % 33.58/33.80 (step @p210 :rule chain_m_resolution :premises (@p209 @p130 @p185) :args (@t95 @t93 (@list @t81 @t86))) % 33.58/33.80 (step @p211 :rule cnf_equiv_pos1 :args (@t97)) % 33.58/33.80 (step @p212 :rule reordering :premises (@p211) :args ((or @t98 @t94 (not @t97)))) % 33.58/33.80 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p127) :args (@t98 @t74 (@list @t94 @t97))) % 33.58/33.80 (step @p214 :rule cnf_or_pos :args (@t63)) % 33.58/33.80 (step @p215 :rule reordering :premises (@p214) :args ((or @t62 @t61 (not @t63)))) % 33.58/33.80 (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p111) :args (@t62 @t74 (@list @t61 @t63))) % 33.58/33.80 (step @p217 :rule instantiate :premises (@p3) :args ((@list @t27 @t43))) % 33.58/33.80 (step @p218 :rule cnf_or_neg :args (@t71 1)) % 33.58/33.80 (step @p219 :rule chain_m_resolution :premises (@p218 @p136) :args (@t99 @t58 @t76)) % 33.58/33.80 (step @p220 :rule refl :args (@t92)) % 33.58/33.80 (step @p221 :rule refl :args (@t101)) % 33.58/33.80 (step @p222 :rule bool-double-not-elim :args (@t69)) % 33.58/33.80 (step @p223 :rule nary_cong :premises (@p142 @p222 @p221 @p220) :args ((or @t82 (not @t99) @t101 @t92))) % 33.58/33.80 (assume-push @p305 @t87) % 33.58/33.80 (assume-push @p306 @t81) % 33.58/33.80 (assume-push @p307 @t100) % 33.58/33.80 (assume-push @p308 @t99) % 33.58/33.80 (step @p148 :rule evaluate :args (@t83)) % 33.58/33.80 (step @p228 :rule true_intro :premises (@p182)) % 33.58/33.80 (step @p229 :rule trans :premises (@p307 @p130)) % 33.58/33.80 (step @p194 :rule refl :args (@t37)) % 33.58/33.80 (step @p230 :rule cong :premises (@p194 @p229) :args (@t69)) % 33.58/33.80 (step @p231 :rule false_intro :premises (@p219)) % 33.58/33.80 (step @p232 :rule symm :premises (@p231)) % 33.58/33.80 (step @p233 :rule trans :premises (@p232 @p230 @p228)) % 33.58/33.80 (step @p234 false :rule eq_resolve :premises (@p233 @p148)) % 33.58/33.80 (step-pop @p309 :rule scope :premises (@p234)) % 33.58/33.80 (step-pop @p310 :rule scope :premises (@p309)) % 33.58/33.80 (step-pop @p311 :rule scope :premises (@p310)) % 33.58/33.80 (step-pop @p312 :rule scope :premises (@p311)) % 33.58/33.80 (step @p235 :rule process_scope :premises (@p312) :args (false)) % 33.58/33.80 (assume-push @p313 @t81) % 33.58/33.80 (assume-push @p314 @t99) % 33.58/33.80 (assume-push @p315 @t100) % 33.58/33.80 (assume-push @p316 @t87) % 33.58/33.80 (step @p244 :rule and_intro :premises (@p182 @p130 @p315 @p219)) % 33.58/33.80 (step-pop @p317 :rule scope :premises (@p244)) % 33.58/33.80 (step-pop @p318 :rule scope :premises (@p317)) % 33.58/33.80 (step-pop @p319 :rule scope :premises (@p318)) % 33.58/33.80 (step-pop @p320 :rule scope :premises (@p319)) % 33.58/33.80 (step @p245 :rule process_scope :premises (@p320) :args (@t102)) % 33.58/33.80 (step @p250 :rule implies_elim :premises (@p245)) % 33.58/33.80 (step @p251 :rule resolution :premises (@p250 @p235) :args (true @t102)) % 33.58/33.80 (step @p252 :rule not_and :premises (@p251)) % 33.58/33.80 (step @p253 :rule eq_resolve :premises (@p252 @p223)) % 33.58/33.80 (step @p254 :rule reordering :premises (@p253) :args ((or @t69 @t82 @t101 @t92))) % 33.58/33.80 (step @p255 :rule chain_m_resolution :premises (@p254 @p219 @p130 @p182) :args (@t101 @t85 (@list @t69 @t81 @t87))) % 33.58/33.80 (step @p256 :rule cnf_equiv_pos2 :args (@t105)) % 33.58/33.80 (step @p257 :rule reordering :premises (@p256) :args ((or @t100 @t106 (not @t105)))) % 33.58/33.80 (step @p258 :rule chain_m_resolution :premises (@p257 @p255 @p217) :args (@t106 @t74 (@list @t100 @t105))) % 33.58/33.80 (step @p259 :rule cnf_and_neg :args (@t104)) % 33.58/33.80 (step @p260 :rule reordering :premises (@p259) :args ((or @t80 @t104 @t107))) % 33.58/33.80 (step @p261 :rule chain_m_resolution :premises (@p260 @p129 @p258) :args (@t107 @t93 (@list @t79 @t104))) % 33.58/33.80 (step @p262 :rule cnf_equiv_pos2 :args (@t108)) % 33.58/33.80 (step @p263 :rule reordering :premises (@p262) :args ((or @t103 (not @t62) @t109))) % 33.58/33.80 (step @p264 :rule chain_m_resolution :premises (@p263 @p261 @p216) :args (@t109 @t74 (@list @t103 @t62))) % 33.58/33.80 (assume-push @p321 @t31) % 33.58/33.80 (step @p266 :rule instantiate :premises (@p34) :args (@t44)) % 33.58/33.80 (step-pop @p322 :rule scope :premises (@p266)) % 33.58/33.80 (step @p267 :rule process_scope :premises (@p322) :args (@t108)) % 33.58/33.80 (step @p269 :rule implies_elim :premises (@p267)) % 33.58/33.80 (step @p270 false :rule chain_m_resolution :premises (@p269 @p264 @p34) :args (false @t74 (@list @t108 @t31))) % 33.58/33.80 ) % 33.58/33.80 % SZS output end Proof % 33.58/33.80 % cvc5 exiting %------------------------------------------------------------------------------