%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU157+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:50:46 AM UTC 2026 % Result : Theorem 2.21s 2.47s % Output : Proof 2.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU157+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:32:52 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 2.21/2.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.21/2.47 % SZS status Theorem % 2.21/2.47 % SZS output start Proof % 2.21/2.47 ( % 2.21/2.47 (declare-sort $$unsorted 0) % 2.21/2.47 (declare-const tptp.empty (-> $$unsorted Bool)) % 2.21/2.47 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 2.21/2.47 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 2.21/2.47 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.21/2.47 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.21/2.47 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 2.21/2.47 (define @t1 () (@var "A" $$unsorted)) % 2.21/2.47 (define @t2 () (@var "B" $$unsorted)) % 2.21/2.47 (define @t3 () (@list @t1 @t2)) % 2.21/2.47 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 2.21/2.47 (define @t5 () (@var "F" $$unsorted)) % 2.21/2.47 (define @t6 () (@var "E" $$unsorted)) % 2.21/2.47 (define @t7 () (tptp.ordered_pair @t6 @t5)) % 2.21/2.47 (define @t8 () (@var "D" $$unsorted)) % 2.21/2.47 (define @t9 () (= @t8 @t7)) % 2.21/2.47 (define @t10 () (tptp.in @t5 @t2)) % 2.21/2.47 (define @t11 () (tptp.in @t6 @t1)) % 2.21/2.47 (define @t12 () (and @t11 @t10 @t9)) % 2.21/2.47 (define @t13 () (@list @t6 @t5)) % 2.21/2.47 (define @t14 () (exists @t13 @t12)) % 2.21/2.47 (define @t15 () (@var "C" $$unsorted)) % 2.21/2.47 (define @t16 () (tptp.in @t8 @t15)) % 2.21/2.47 (define @t17 () (= @t16 @t14)) % 2.21/2.47 (define @t18 () (@list @t8)) % 2.21/2.47 (define @t19 () (forall @t18 @t17)) % 2.21/2.47 (define @t20 () (= @t15 (tptp.cartesian_product2 @t1 @t2))) % 2.21/2.47 (define @t21 () (= @t20 @t19)) % 2.21/2.47 (define @t22 () (@list @t1 @t2 @t15)) % 2.21/2.47 (define @t23 () (forall @t22 @t21)) % 2.21/2.47 (define @t24 () (tptp.ordered_pair @t1 @t2)) % 2.21/2.47 (define @t25 () (@list @t1 @t2 @t15 @t8)) % 2.21/2.47 (define @t26 () (forall @t25 (= (tptp.in @t24 (tptp.cartesian_product2 @t15 @t8)) (and (tptp.in @t1 @t15) (tptp.in @t2 @t8))))) % 2.21/2.47 (define @t27 () (tptp.empty @t1)) % 2.21/2.47 (define @t28 () (@list @t1)) % 2.21/2.47 (define @t29 () (and (= @t1 @t15) (= @t2 @t8))) % 2.21/2.47 (define @t30 () (= @t24 (tptp.ordered_pair @t15 @t8))) % 2.21/2.47 (define @t31 () (forall @t25 (=> @t30 @t29))) % 2.21/2.47 (define @t32 () (@quantifiers_skolemize @t26 3)) % 2.21/2.47 (define @t33 () (@quantifiers_skolemize @t26 1)) % 2.21/2.47 (define @t34 () (tptp.in @t33 @t32)) % 2.21/2.47 (define @t35 () (@quantifiers_skolemize @t26 2)) % 2.21/2.47 (define @t36 () (@quantifiers_skolemize @t26 0)) % 2.21/2.47 (define @t37 () (tptp.in @t36 @t35)) % 2.21/2.47 (define @t38 () (and @t37 @t34)) % 2.21/2.47 (define @t39 () (tptp.cartesian_product2 @t35 @t32)) % 2.21/2.47 (define @t40 () (tptp.ordered_pair @t36 @t33)) % 2.21/2.47 (define @t41 () (tptp.in @t40 @t39)) % 2.21/2.47 (define @t42 () (= @t41 @t38)) % 2.21/2.47 (define @t43 () (not @t9)) % 2.21/2.47 (define @t44 () (not @t10)) % 2.21/2.47 (define @t45 () (not @t11)) % 2.21/2.47 (define @t46 () (or @t45 @t44 @t43)) % 2.21/2.47 (define @t47 () (forall @t13 (not @t12))) % 2.21/2.47 (define @t48 () (not @t47)) % 2.21/2.47 (define @t49 () (tptp.in @t8 @t39)) % 2.21/2.47 (define @t50 () (not (tptp.in @t5 @t32))) % 2.21/2.47 (define @t51 () (not (tptp.in @t6 @t35))) % 2.21/2.47 (define @t52 () (not (forall @t13 (or @t51 @t50 @t43)))) % 2.21/2.47 (define @t53 () (forall @t18 (= @t52 @t49))) % 2.21/2.47 (define @t54 () (forall @t18 (= @t49 @t52))) % 2.21/2.47 (define @t55 () (= (= @t39 @t39) @t54)) % 2.21/2.47 (define @t56 () (forall @t22 (= @t20 (forall @t18 (= @t16 (not (forall @t13 @t46))))))) % 2.21/2.47 (define @t57 () (@list false)) % 2.21/2.47 (define @t58 () (not (= @t40 @t7))) % 2.21/2.47 (define @t59 () (or @t51 @t50 @t58)) % 2.21/2.47 (define @t60 () (forall @t13 @t59)) % 2.21/2.47 (define @t61 () (not @t60)) % 2.21/2.47 (define @t62 () (= @t61 @t41)) % 2.21/2.47 (define @t63 () (forall @t13 (or @t51 @t50 (not (= @t7 @t40))))) % 2.21/2.47 (define @t64 () (not @t63)) % 2.21/2.47 (define @t65 () (= @t41 @t64)) % 2.21/2.47 (define @t66 () (not @t65)) % 2.21/2.47 (define @t67 () (not @t64)) % 2.21/2.47 (define @t68 () (not @t38)) % 2.21/2.47 (define @t69 () (not @t34)) % 2.21/2.47 (define @t70 () (not @t37)) % 2.21/2.47 (define @t71 () (or @t70 @t69)) % 2.21/2.47 (define @t72 () (not (= @t40 @t40))) % 2.21/2.47 (define @t73 () (or @t70 @t69 @t72)) % 2.21/2.47 (define @t74 () (@quantifiers_skolemize @t63 1)) % 2.21/2.47 (define @t75 () (@quantifiers_skolemize @t63 0)) % 2.21/2.47 (define @t76 () (@list false false)) % 2.21/2.47 (define @t77 () (tptp.ordered_pair @t75 @t74)) % 2.21/2.47 (define @t78 () (= @t40 @t77)) % 2.21/2.47 (define @t79 () (not @t78)) % 2.21/2.47 (define @t80 () (tptp.in @t74 @t32)) % 2.21/2.47 (define @t81 () (not @t80)) % 2.21/2.47 (define @t82 () (tptp.in @t75 @t35)) % 2.21/2.47 (define @t83 () (not @t82)) % 2.21/2.47 (define @t84 () (or @t83 @t81 @t79)) % 2.21/2.47 (define @t85 () (not @t84)) % 2.21/2.47 (define @t86 () (not (= @t77 @t40))) % 2.21/2.47 (define @t87 () (or @t83 @t81 @t86)) % 2.21/2.47 (define @t88 () (not @t87)) % 2.21/2.47 (define @t89 () (@list true)) % 2.21/2.47 (define @t90 () (@list @t84)) % 2.21/2.47 (define @t91 () (= @t33 @t74)) % 2.21/2.47 (define @t92 () (= @t36 @t75)) % 2.21/2.47 (define @t93 () (and @t92 @t91)) % 2.21/2.47 (define @t94 () (or @t79 @t93)) % 2.21/2.47 (define @t95 () (not @t93)) % 2.21/2.47 (define @t96 () (@list @t93)) % 2.21/2.47 (define @t97 () (and @t82 @t92)) % 2.21/2.47 (define @t98 () (and @t80 @t91)) % 2.21/2.47 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 2.21/2.47 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 2.21/2.47 (assume @p3 @t23) % 2.21/2.47 (assume @p4 (forall @t3 (= @t24 (tptp.unordered_pair @t4 (tptp.singleton @t1))))) % 2.21/2.47 (assume @p5 true) % 2.21/2.47 (assume @p6 (forall @t3 (not (tptp.empty @t24)))) % 2.21/2.47 (assume @p7 (not @t26)) % 2.21/2.47 (assume @p8 (exists @t28 @t27)) % 2.21/2.47 (assume @p9 (exists @t28 (not @t27))) % 2.21/2.47 (assume @p10 @t31) % 2.21/2.47 (step @p11 :rule skolemize :premises (@p7)) % 2.21/2.47 (step @p12 :rule cnf_equiv_neg1 :args (@t42)) % 2.21/2.47 (step @p13 :rule reordering :premises (@p12) :args ((or @t41 @t38 @t42))) % 2.21/2.47 (step @p14 :rule aci_norm :args ((= (or @t45 (or @t44 @t43)) @t46))) % 2.21/2.47 (step @p15 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 2.21/2.47 (step @p16 :rule refl :args (@t45)) % 2.21/2.47 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t45 (not (and @t10 @t9))))) % 2.21/2.47 (step @p18 :rule bool-and-de-morgan :args (@t11 @t10 (and @t9))) % 2.21/2.47 (step @p19 :rule trans :premises (@p18 @p17)) % 2.21/2.47 (step @p20 :rule trans :premises (@p19 @p14)) % 2.21/2.47 (step @p21 :rule cong :premises (@p20) :args (@t47)) % 2.21/2.47 (step @p22 :rule cong :premises (@p21) :args (@t48)) % 2.21/2.47 (step @p23 :rule exists-elim :args ((= @t14 @t48))) % 2.21/2.47 (step @p24 :rule trans :premises (@p23 @p22)) % 2.21/2.47 (step @p25 :rule refl :args (@t16)) % 2.21/2.47 (step @p26 :rule cong :premises (@p25 @p24) :args (@t17)) % 2.21/2.47 (step @p27 :rule cong :premises (@p26) :args (@t19)) % 2.21/2.47 (step @p28 :rule refl :args (@t20)) % 2.21/2.47 (step @p29 :rule cong :premises (@p28 @p27) :args (@t21)) % 2.21/2.47 (step @p30 :rule cong :premises (@p29) :args (@t23)) % 2.21/2.47 (step @p31 :rule eq_resolve :premises (@p3 @p30)) % 2.21/2.47 (step @p32 :rule bool-eq-true :args (@t53)) % 2.21/2.47 (step @p33 :rule eq-symm :args (true @t53)) % 2.21/2.47 (step @p34 :rule trans :premises (@p33 @p32)) % 2.21/2.47 (step @p35 :rule eq-symm :args (@t49 @t52)) % 2.21/2.47 (step @p36 :rule cong :premises (@p35) :args (@t54)) % 2.21/2.47 (step @p37 :rule eq-refl :args (@t39)) % 2.21/2.47 (step @p38 :rule cong :premises (@p37 @p36) :args (@t55)) % 2.21/2.47 (step @p39 :rule trans :premises (@p38 @p34)) % 2.21/2.47 (step @p40 :rule refl :args (@t56)) % 2.21/2.47 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t56 @t55))) % 2.21/2.47 (assume-push @p200 @t56) % 2.21/2.47 (step @p43 :rule instantiate :premises (@p31) :args ((@list @t35 @t32 @t39))) % 2.21/2.47 (step-pop @p201 :rule scope :premises (@p43)) % 2.21/2.47 (step @p44 :rule process_scope :premises (@p201) :args (@t55)) % 2.21/2.47 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 2.21/2.47 (step @p47 :rule implies_elim :premises (@p46)) % 2.21/2.47 (step @p48 :rule chain_m_resolution :premises (@p47 @p31) :args (@t53 @t57 (@list @t56))) % 2.21/2.47 (step @p49 :rule eq-symm :args (@t40 @t7)) % 2.21/2.47 (step @p50 :rule cong :premises (@p49) :args (@t58)) % 2.21/2.47 (step @p51 :rule refl :args (@t50)) % 2.21/2.47 (step @p52 :rule refl :args (@t51)) % 2.21/2.47 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50) :args (@t59)) % 2.21/2.47 (step @p54 :rule cong :premises (@p53) :args (@t60)) % 2.21/2.47 (step @p55 :rule cong :premises (@p54) :args (@t61)) % 2.21/2.47 (step @p56 :rule refl :args (@t41)) % 2.21/2.47 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t41 @t61))) % 2.21/2.47 (step @p58 :rule eq-symm :args (@t61 @t41)) % 2.21/2.47 (step @p59 :rule trans :premises (@p58 @p57)) % 2.21/2.47 (step @p60 :rule refl :args (@t53)) % 2.21/2.47 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t53 @t62))) % 2.21/2.47 (assume-push @p202 @t53) % 2.21/2.47 (step @p63 :rule instantiate :premises (@p48) :args ((@list @t40))) % 2.21/2.47 (step-pop @p203 :rule scope :premises (@p63)) % 2.21/2.47 (step @p64 :rule process_scope :premises (@p203) :args (@t62)) % 2.21/2.47 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 2.21/2.47 (step @p67 :rule implies_elim :premises (@p66)) % 2.21/2.47 (step @p68 :rule chain_m_resolution :premises (@p67 @p48) :args (@t65 @t57 (@list @t53))) % 2.21/2.47 (step @p69 :rule bool-double-not-elim :args (@t63)) % 2.21/2.47 (step @p70 :rule refl :args (@t66)) % 2.21/2.47 (step @p71 :rule nary_cong :premises (@p70 @p56 @p69) :args ((or @t66 @t41 @t67))) % 2.21/2.47 (step @p72 :rule cnf_equiv_pos2 :args (@t65)) % 2.21/2.47 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 2.21/2.47 (step @p74 :rule reordering :premises (@p73) :args ((or @t41 @t63 @t66))) % 2.21/2.47 (step @p75 :rule cnf_and_pos :args (@t38 0)) % 2.21/2.47 (step @p76 :rule reordering :premises (@p75) :args ((or @t37 @t68))) % 2.21/2.47 (step @p77 :rule cnf_and_pos :args (@t38 1)) % 2.21/2.47 (step @p78 :rule reordering :premises (@p77) :args ((or @t34 @t68))) % 2.21/2.47 (step @p79 :rule aci_norm :args ((= (or @t70 @t69 false) @t71))) % 2.21/2.47 (step @p80 :rule evaluate :args ((not true))) % 2.21/2.47 (step @p81 :rule eq-refl :args (@t40)) % 2.21/2.47 (step @p82 :rule cong :premises (@p81) :args (@t72)) % 2.21/2.47 (step @p83 :rule trans :premises (@p82 @p80)) % 2.21/2.47 (step @p84 :rule refl :args (@t69)) % 2.21/2.47 (step @p85 :rule refl :args (@t70)) % 2.21/2.47 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args (@t73)) % 2.21/2.47 (step @p87 :rule trans :premises (@p86 @p79)) % 2.21/2.47 (step @p88 :rule refl :args (@t63)) % 2.21/2.47 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t63 @t73))) % 2.21/2.47 (assume-push @p204 @t63) % 2.21/2.47 (step @p91 :rule instantiate :premises (@p204) :args ((@list @t36 @t33))) % 2.21/2.47 (step-pop @p205 :rule scope :premises (@p91)) % 2.21/2.47 (step @p92 :rule process_scope :premises (@p205) :args (@t73)) % 2.21/2.47 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 2.21/2.47 (step @p95 :rule implies_elim :premises (@p94)) % 2.21/2.47 (step @p96 :rule cnf_or_pos :args (@t71)) % 2.21/2.47 (step @p97 :rule reordering :premises (@p96) :args ((or @t70 @t69 (not @t71)))) % 2.21/2.47 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p78 @p76 @p74 @p68 @p13 @p11) :args (@t41 (@list false false false false false false true) (@list @t71 @t34 @t37 @t63 @t65 @t38 @t42))) % 2.21/2.47 (step @p99 :rule cnf_equiv_neg2 :args (@t42)) % 2.21/2.47 (step @p100 :rule chain_m_resolution :premises (@p99 @p11 @p98) :args (@t68 (@list true false) (@list @t42 @t41))) % 2.21/2.47 (step @p101 :rule bool-impl-elim :args (@t30 @t29)) % 2.21/2.47 (step @p102 :rule cong :premises (@p101) :args (@t31)) % 2.21/2.47 (step @p103 :rule eq_resolve :premises (@p10 @p102)) % 2.21/2.47 (step @p104 :rule instantiate :premises (@p103) :args ((@list @t36 @t33 @t75 @t74))) % 2.21/2.47 (step @p105 :rule cnf_equiv_pos1 :args (@t65)) % 2.21/2.47 (step @p106 :rule reordering :premises (@p105) :args ((or (not @t41) @t64 @t66))) % 2.21/2.47 (step @p107 :rule chain_m_resolution :premises (@p106 @p98 @p68) :args (@t64 @t76 (@list @t41 @t65))) % 2.21/2.47 (step @p108 :rule refl :args (@t85)) % 2.21/2.47 (step @p109 :rule nary_cong :premises (@p69 @p108) :args ((or @t67 @t85))) % 2.21/2.47 (step @p110 :rule eq-symm :args (@t77 @t40)) % 2.21/2.47 (step @p111 :rule cong :premises (@p110) :args (@t86)) % 2.21/2.47 (step @p112 :rule refl :args (@t81)) % 2.21/2.47 (step @p113 :rule refl :args (@t83)) % 2.21/2.47 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111) :args (@t87)) % 2.21/2.47 (step @p115 :rule cong :premises (@p114) :args (@t88)) % 2.21/2.47 (step @p116 :rule refl :args (@t64)) % 2.21/2.47 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t64 @t88))) % 2.21/2.47 (assume-push @p206 @t64) % 2.21/2.47 (step @p119 :rule skolemize :premises (@p206)) % 2.21/2.47 (step-pop @p207 :rule scope :premises (@p119)) % 2.21/2.47 (step @p120 :rule process_scope :premises (@p207) :args (@t88)) % 2.21/2.47 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 2.21/2.47 (step @p123 :rule implies_elim :premises (@p122)) % 2.21/2.47 (step @p124 :rule eq_resolve :premises (@p123 @p109)) % 2.21/2.47 (step @p125 :rule chain_m_resolution :premises (@p124 @p107) :args (@t85 @t89 (@list @t63))) % 2.21/2.47 (step @p126 :rule bool-double-not-elim :args (@t78)) % 2.21/2.47 (step @p127 :rule refl :args (@t84)) % 2.21/2.47 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t84 (not @t79)))) % 2.21/2.47 (step @p129 :rule cnf_or_neg :args (@t84 2)) % 2.21/2.47 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 2.21/2.47 (step @p131 :rule reordering :premises (@p130) :args ((or @t78 @t84))) % 2.21/2.47 (step @p132 :rule chain_m_resolution :premises (@p131 @p125) :args (@t78 @t89 @t90)) % 2.21/2.47 (step @p133 :rule cnf_or_pos :args (@t94)) % 2.21/2.47 (step @p134 :rule reordering :premises (@p133) :args ((or @t79 @t93 (not @t94)))) % 2.21/2.47 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p104) :args (@t93 @t76 (@list @t78 @t94))) % 2.21/2.47 (step @p136 :rule cnf_and_pos :args (@t93 0)) % 2.21/2.47 (step @p137 :rule reordering :premises (@p136) :args ((or @t92 @t95))) % 2.21/2.47 (step @p138 :rule chain_m_resolution :premises (@p137 @p135) :args (@t92 @t57 @t96)) % 2.21/2.47 (step @p139 :rule bool-double-not-elim :args (@t82)) % 2.21/2.47 (step @p140 :rule nary_cong :premises (@p127 @p139) :args ((or @t84 (not @t83)))) % 2.21/2.47 (step @p141 :rule cnf_or_neg :args (@t84 0)) % 2.21/2.47 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 2.21/2.47 (step @p143 :rule reordering :premises (@p142) :args ((or @t82 @t84))) % 2.21/2.47 (step @p144 :rule chain_m_resolution :premises (@p143 @p125) :args (@t82 @t89 @t90)) % 2.21/2.47 (assume-push @p208 @t82) % 2.21/2.47 (assume-push @p209 @t92) % 2.21/2.47 (assume-push @p210 @t82) % 2.21/2.47 (assume-push @p211 @t92) % 2.21/2.47 (step @p149 :rule true_intro :premises (@p208)) % 2.21/2.47 (step @p150 :rule refl :args (@t35)) % 2.21/2.47 (step @p151 :rule cong :premises (@p209 @p150) :args (@t37)) % 2.21/2.47 (step @p152 :rule trans :premises (@p151 @p149)) % 2.21/2.47 (step @p153 :rule true_elim :premises (@p152)) % 2.21/2.47 (step-pop @p212 :rule scope :premises (@p153)) % 2.21/2.47 (step-pop @p213 :rule scope :premises (@p212)) % 2.21/2.47 (step @p154 :rule process_scope :premises (@p213) :args (@t37)) % 2.21/2.47 (step @p157 :rule and_intro :premises (@p208 @p209)) % 2.21/2.47 (step @p158 :rule modus_ponens :premises (@p157 @p154)) % 2.21/2.47 (step-pop @p214 :rule scope :premises (@p158)) % 2.21/2.47 (step-pop @p215 :rule scope :premises (@p214)) % 2.21/2.47 (step @p159 :rule process_scope :premises (@p215) :args (@t37)) % 2.21/2.47 (step @p162 :rule implies_elim :premises (@p159)) % 2.21/2.47 (step @p163 :rule cnf_and_neg :args (@t97)) % 2.21/2.47 (step @p164 :rule resolution :premises (@p163 @p162) :args (true @t97)) % 2.21/2.47 (step @p165 :rule reordering :premises (@p164) :args ((or @t37 @t83 (not @t92)))) % 2.21/2.47 (step @p166 :rule chain_m_resolution :premises (@p165 @p144 @p138) :args (@t37 @t76 (@list @t82 @t92))) % 2.21/2.47 (step @p167 :rule cnf_and_pos :args (@t93 1)) % 2.21/2.47 (step @p168 :rule reordering :premises (@p167) :args ((or @t91 @t95))) % 2.21/2.47 (step @p169 :rule chain_m_resolution :premises (@p168 @p135) :args (@t91 @t57 @t96)) % 2.21/2.47 (step @p170 :rule bool-double-not-elim :args (@t80)) % 2.21/2.47 (step @p171 :rule nary_cong :premises (@p127 @p170) :args ((or @t84 (not @t81)))) % 2.21/2.47 (step @p172 :rule cnf_or_neg :args (@t84 1)) % 2.21/2.47 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 2.21/2.47 (step @p174 :rule reordering :premises (@p173) :args ((or @t80 @t84))) % 2.21/2.47 (step @p175 :rule chain_m_resolution :premises (@p174 @p125) :args (@t80 @t89 @t90)) % 2.21/2.47 (assume-push @p216 @t80) % 2.21/2.47 (assume-push @p217 @t91) % 2.21/2.47 (assume-push @p218 @t80) % 2.21/2.47 (assume-push @p219 @t91) % 2.21/2.47 (step @p180 :rule true_intro :premises (@p216)) % 2.21/2.47 (step @p181 :rule refl :args (@t32)) % 2.21/2.47 (step @p182 :rule cong :premises (@p217 @p181) :args (@t34)) % 2.21/2.47 (step @p183 :rule trans :premises (@p182 @p180)) % 2.21/2.47 (step @p184 :rule true_elim :premises (@p183)) % 2.21/2.47 (step-pop @p220 :rule scope :premises (@p184)) % 2.21/2.47 (step-pop @p221 :rule scope :premises (@p220)) % 2.21/2.47 (step @p185 :rule process_scope :premises (@p221) :args (@t34)) % 2.21/2.47 (step @p188 :rule and_intro :premises (@p216 @p217)) % 2.21/2.47 (step @p189 :rule modus_ponens :premises (@p188 @p185)) % 2.21/2.47 (step-pop @p222 :rule scope :premises (@p189)) % 2.21/2.47 (step-pop @p223 :rule scope :premises (@p222)) % 2.21/2.47 (step @p190 :rule process_scope :premises (@p223) :args (@t34)) % 2.21/2.47 (step @p193 :rule implies_elim :premises (@p190)) % 2.21/2.47 (step @p194 :rule cnf_and_neg :args (@t98)) % 2.21/2.47 (step @p195 :rule resolution :premises (@p194 @p193) :args (true @t98)) % 2.21/2.47 (step @p196 :rule reordering :premises (@p195) :args ((or @t34 @t81 (not @t91)))) % 2.21/2.47 (step @p197 :rule chain_m_resolution :premises (@p196 @p175 @p169) :args (@t34 @t76 (@list @t80 @t91))) % 2.21/2.47 (step @p198 :rule cnf_and_neg :args (@t38)) % 2.21/2.47 (step @p199 false :rule chain_m_resolution :premises (@p198 @p197 @p166 @p100) :args (false (@list false false true) (@list @t34 @t37 @t38))) % 2.21/2.47 ) % 2.21/2.47 % SZS output end Proof % 2.21/2.47 % cvc5 exiting %------------------------------------------------------------------------------