%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU159+1 : 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 : n029.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 15.31s 15.58s % Output : Proof 15.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU159+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.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 16:33:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 15.31/15.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.31/15.58 --- Run --no-e-matching --full-saturate-quant at 6... % 15.31/15.58 % SZS status Theorem % 15.31/15.58 % SZS output start Proof % 15.31/15.58 ( % 15.31/15.58 (declare-sort $$unsorted 0) % 15.31/15.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.31/15.58 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.31/15.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.31/15.58 (define @t1 () (@var "A" $$unsorted)) % 15.31/15.58 (define @t2 () (@var "B" $$unsorted)) % 15.31/15.58 (define @t3 () (@list @t1 @t2)) % 15.31/15.58 (define @t4 () (tptp.unordered_pair @t1 @t2)) % 15.31/15.58 (define @t5 () (@var "D" $$unsorted)) % 15.31/15.58 (define @t6 () (or (= @t5 @t1) (= @t5 @t2))) % 15.31/15.58 (define @t7 () (@var "C" $$unsorted)) % 15.31/15.58 (define @t8 () (tptp.in @t5 @t7)) % 15.31/15.58 (define @t9 () (= @t8 @t6)) % 15.31/15.58 (define @t10 () (@list @t5)) % 15.31/15.58 (define @t11 () (forall @t10 @t9)) % 15.31/15.58 (define @t12 () (= (= @t7 @t4) @t11)) % 15.31/15.58 (define @t13 () (@list @t1 @t2 @t7)) % 15.31/15.58 (define @t14 () (forall @t13 @t12)) % 15.31/15.58 (define @t15 () (tptp.in @t7 @t2)) % 15.31/15.58 (define @t16 () (tptp.in @t7 @t1)) % 15.31/15.58 (define @t17 () (@list @t7)) % 15.31/15.58 (define @t18 () (forall @t17 (=> @t16 @t15))) % 15.31/15.58 (define @t19 () (tptp.subset @t1 @t2)) % 15.31/15.58 (define @t20 () (= @t19 @t18)) % 15.31/15.58 (define @t21 () (forall @t3 @t20)) % 15.31/15.58 (define @t22 () (forall @t13 (= (tptp.subset @t4 @t7) (and (tptp.in @t1 @t7) (tptp.in @t2 @t7))))) % 15.31/15.58 (define @t23 () (@quantifiers_skolemize @t22 2)) % 15.31/15.58 (define @t24 () (@quantifiers_skolemize @t22 1)) % 15.31/15.58 (define @t25 () (tptp.in @t24 @t23)) % 15.31/15.58 (define @t26 () (@quantifiers_skolemize @t22 0)) % 15.31/15.58 (define @t27 () (tptp.in @t26 @t23)) % 15.31/15.58 (define @t28 () (and @t27 @t25)) % 15.31/15.58 (define @t29 () (tptp.unordered_pair @t26 @t24)) % 15.31/15.58 (define @t30 () (tptp.subset @t29 @t23)) % 15.31/15.58 (define @t31 () (= @t30 @t28)) % 15.31/15.58 (define @t32 () (forall @t17 (or (not (tptp.in @t7 @t29)) (tptp.in @t7 @t23)))) % 15.31/15.58 (define @t33 () (= @t30 @t32)) % 15.31/15.58 (define @t34 () (not @t33)) % 15.31/15.58 (define @t35 () (not @t30)) % 15.31/15.58 (define @t36 () (@list @t26)) % 15.31/15.58 (define @t37 () (tptp.in @t26 @t29)) % 15.31/15.58 (define @t38 () (not @t37)) % 15.31/15.58 (define @t39 () (or @t38 @t27)) % 15.31/15.58 (define @t40 () (tptp.in @t5 @t29)) % 15.31/15.58 (define @t41 () (forall @t10 (= @t40 (or (= @t5 @t26) (= @t5 @t24))))) % 15.31/15.58 (define @t42 () (or (= @t26 @t5) (= @t24 @t5))) % 15.31/15.58 (define @t43 () (= @t40 @t42)) % 15.31/15.58 (define @t44 () (forall @t10 @t43)) % 15.31/15.58 (define @t45 () (= (= @t29 @t29) @t44)) % 15.31/15.58 (define @t46 () (forall @t13 (= (= @t4 @t7) (forall @t10 (= @t8 (or (= @t1 @t5) (= @t2 @t5))))))) % 15.31/15.58 (define @t47 () (@list false)) % 15.31/15.58 (define @t48 () (= @t26 @t24)) % 15.31/15.58 (define @t49 () (or (= @t26 @t26) @t48)) % 15.31/15.58 (define @t50 () (= @t37 @t49)) % 15.31/15.58 (define @t51 () (@list @t41)) % 15.31/15.58 (define @t52 () (tptp.in @t24 @t29)) % 15.31/15.58 (define @t53 () (or (= @t24 @t26) (= @t24 @t24))) % 15.31/15.58 (define @t54 () (= @t52 @t53)) % 15.31/15.58 (define @t55 () (@list @t24)) % 15.31/15.58 (define @t56 () (not @t52)) % 15.31/15.58 (define @t57 () (or @t56 @t25)) % 15.31/15.58 (define @t58 () (not @t28)) % 15.31/15.58 (define @t59 () (@list @t28)) % 15.31/15.58 (define @t60 () (not @t32)) % 15.31/15.58 (define @t61 () (@list true false)) % 15.31/15.58 (define @t62 () (@quantifiers_skolemize @t32 0)) % 15.31/15.58 (define @t63 () (tptp.in @t62 @t23)) % 15.31/15.58 (define @t64 () (tptp.in @t62 @t29)) % 15.31/15.58 (define @t65 () (not @t64)) % 15.31/15.58 (define @t66 () (or @t65 @t63)) % 15.31/15.58 (define @t67 () (not @t66)) % 15.31/15.58 (define @t68 () (@list true)) % 15.31/15.58 (define @t69 () (not @t63)) % 15.31/15.58 (define @t70 () (@list @t66)) % 15.31/15.58 (define @t71 () (or (= @t62 @t26) (= @t62 @t24))) % 15.31/15.58 (define @t72 () (= @t64 @t71)) % 15.31/15.58 (define @t73 () (= @t24 @t62)) % 15.31/15.58 (define @t74 () (= @t26 @t62)) % 15.31/15.58 (define @t75 () (or @t74 @t73)) % 15.31/15.58 (define @t76 () (= @t64 @t75)) % 15.31/15.58 (define @t77 () (not @t74)) % 15.31/15.58 (define @t78 () (not @t27)) % 15.31/15.58 (define @t79 () (not @t69)) % 15.31/15.58 (define @t80 () (= false true)) % 15.31/15.58 (define @t81 () (and @t27 @t74 @t69)) % 15.31/15.58 (define @t82 () (not @t73)) % 15.31/15.58 (define @t83 () (not @t25)) % 15.31/15.58 (define @t84 () (and @t25 @t73 @t69)) % 15.31/15.58 (assume @p1 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1))))) % 15.31/15.58 (assume @p2 (forall @t3 (= @t4 (tptp.unordered_pair @t2 @t1)))) % 15.31/15.58 (assume @p3 @t14) % 15.31/15.58 (assume @p4 @t21) % 15.31/15.58 (assume @p5 true) % 15.31/15.58 (assume @p6 (forall @t3 (tptp.subset @t1 @t1))) % 15.31/15.58 (assume @p7 (not @t22)) % 15.31/15.58 (step @p8 :rule skolemize :premises (@p7)) % 15.31/15.58 (step @p9 :rule cnf_equiv_neg2 :args (@t31)) % 15.31/15.58 (step @p10 :rule bool-impl-elim :args (@t16 @t15)) % 15.31/15.58 (step @p11 :rule cong :premises (@p10) :args (@t18)) % 15.31/15.58 (step @p12 :rule refl :args (@t19)) % 15.31/15.58 (step @p13 :rule cong :premises (@p12 @p11) :args (@t20)) % 15.31/15.58 (step @p14 :rule cong :premises (@p13) :args (@t21)) % 15.31/15.58 (step @p15 :rule eq_resolve :premises (@p4 @p14)) % 15.31/15.58 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t29 @t23))) % 15.31/15.58 (step @p17 :rule cnf_equiv_pos1 :args (@t33)) % 15.31/15.58 (step @p18 :rule reordering :premises (@p17) :args ((or @t35 @t32 @t34))) % 15.31/15.58 (assume-push @p214 @t32) % 15.31/15.58 (step @p20 :rule instantiate :premises (@p214) :args (@t36)) % 15.31/15.58 (step-pop @p215 :rule scope :premises (@p20)) % 15.31/15.58 (step @p21 :rule process_scope :premises (@p215) :args (@t39)) % 15.31/15.58 (step @p23 :rule implies_elim :premises (@p21)) % 15.31/15.58 (step @p24 :rule eq-symm :args (@t5 @t2)) % 15.31/15.58 (step @p25 :rule eq-symm :args (@t5 @t1)) % 15.31/15.58 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t6)) % 15.31/15.58 (step @p27 :rule refl :args (@t8)) % 15.31/15.58 (step @p28 :rule cong :premises (@p27 @p26) :args (@t9)) % 15.31/15.58 (step @p29 :rule cong :premises (@p28) :args (@t11)) % 15.31/15.58 (step @p30 :rule eq-symm :args (@t7 @t4)) % 15.31/15.58 (step @p31 :rule cong :premises (@p30 @p29) :args (@t12)) % 15.31/15.58 (step @p32 :rule cong :premises (@p31) :args (@t14)) % 15.31/15.58 (step @p33 :rule eq_resolve :premises (@p3 @p32)) % 15.31/15.58 (step @p34 :rule bool-eq-true :args (@t41)) % 15.31/15.58 (step @p35 :rule eq-symm :args (true @t41)) % 15.31/15.58 (step @p36 :rule trans :premises (@p35 @p34)) % 15.31/15.58 (step @p37 :rule eq-symm :args (@t24 @t5)) % 15.31/15.58 (step @p38 :rule eq-symm :args (@t26 @t5)) % 15.31/15.58 (step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t42)) % 15.31/15.58 (step @p40 :rule refl :args (@t40)) % 15.31/15.58 (step @p41 :rule cong :premises (@p40 @p39) :args (@t43)) % 15.31/15.58 (step @p42 :rule cong :premises (@p41) :args (@t44)) % 15.31/15.58 (step @p43 :rule eq-refl :args (@t29)) % 15.31/15.58 (step @p44 :rule cong :premises (@p43 @p42) :args (@t45)) % 15.31/15.58 (step @p45 :rule trans :premises (@p44 @p36)) % 15.31/15.58 (step @p46 :rule refl :args (@t46)) % 15.31/15.58 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t46 @t45))) % 15.31/15.58 (assume-push @p216 @t46) % 15.31/15.58 (step @p49 :rule instantiate :premises (@p33) :args ((@list @t26 @t24 @t29))) % 15.31/15.58 (step-pop @p217 :rule scope :premises (@p49)) % 15.31/15.58 (step @p50 :rule process_scope :premises (@p217) :args (@t45)) % 15.31/15.58 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 15.31/15.58 (step @p53 :rule implies_elim :premises (@p52)) % 15.31/15.58 (step @p54 :rule chain_m_resolution :premises (@p53 @p33) :args (@t41 @t47 (@list @t46))) % 15.31/15.58 (step @p55 :rule bool-eq-true :args (@t37)) % 15.31/15.58 (step @p56 :rule absorb :args ((= (or true @t48) true))) % 15.31/15.58 (step @p57 :rule refl :args (@t48)) % 15.31/15.58 (step @p58 :rule eq-refl :args (@t26)) % 15.31/15.58 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t49)) % 15.31/15.58 (step @p60 :rule trans :premises (@p59 @p56)) % 15.31/15.58 (step @p61 :rule refl :args (@t37)) % 15.31/15.58 (step @p62 :rule cong :premises (@p61 @p60) :args (@t50)) % 15.31/15.58 (step @p63 :rule trans :premises (@p62 @p55)) % 15.31/15.58 (step @p64 :rule refl :args (@t41)) % 15.31/15.58 (step @p65 :rule cong :premises (@p64 @p63) :args ((=> @t41 @t50))) % 15.31/15.58 (assume-push @p218 @t41) % 15.31/15.58 (step @p67 :rule instantiate :premises (@p54) :args (@t36)) % 15.31/15.58 (step-pop @p219 :rule scope :premises (@p67)) % 15.31/15.58 (step @p68 :rule process_scope :premises (@p219) :args (@t50)) % 15.31/15.58 (step @p70 :rule eq_resolve :premises (@p68 @p65)) % 15.31/15.58 (step @p71 :rule implies_elim :premises (@p70)) % 15.31/15.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p54) :args (@t37 @t47 @t51)) % 15.31/15.58 (step @p73 :rule cnf_or_pos :args (@t39)) % 15.31/15.58 (step @p74 :rule reordering :premises (@p73) :args ((or @t27 @t38 (not @t39)))) % 15.31/15.58 (step @p75 :rule cnf_and_neg :args (@t28)) % 15.31/15.58 (step @p76 :rule bool-eq-true :args (@t52)) % 15.31/15.58 (step @p77 :rule absorb :args ((= (or @t48 true) true))) % 15.31/15.58 (step @p78 :rule eq-refl :args (@t24)) % 15.31/15.58 (step @p79 :rule eq-symm :args (@t24 @t26)) % 15.31/15.58 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t53)) % 15.31/15.58 (step @p81 :rule trans :premises (@p80 @p77)) % 15.31/15.58 (step @p82 :rule refl :args (@t52)) % 15.31/15.58 (step @p83 :rule cong :premises (@p82 @p81) :args (@t54)) % 15.31/15.58 (step @p84 :rule trans :premises (@p83 @p76)) % 15.31/15.58 (step @p85 :rule cong :premises (@p64 @p84) :args ((=> @t41 @t54))) % 15.31/15.58 (assume-push @p220 @t41) % 15.31/15.58 (step @p87 :rule instantiate :premises (@p54) :args (@t55)) % 15.31/15.58 (step-pop @p221 :rule scope :premises (@p87)) % 15.31/15.58 (step @p88 :rule process_scope :premises (@p221) :args (@t54)) % 15.31/15.58 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 15.31/15.58 (step @p91 :rule implies_elim :premises (@p90)) % 15.31/15.58 (step @p92 :rule chain_m_resolution :premises (@p91 @p54) :args (@t52 @t47 @t51)) % 15.31/15.58 (step @p93 :rule cnf_or_pos :args (@t57)) % 15.31/15.58 (step @p94 :rule reordering :premises (@p93) :args ((or @t25 @t56 (not @t57)))) % 15.31/15.58 (assume-push @p222 @t32) % 15.31/15.58 (step @p96 :rule instantiate :premises (@p222) :args (@t55)) % 15.31/15.58 (step-pop @p223 :rule scope :premises (@p96)) % 15.31/15.58 (step @p97 :rule process_scope :premises (@p223) :args (@t57)) % 15.31/15.58 (step @p99 :rule implies_elim :premises (@p97)) % 15.31/15.58 (step @p100 :rule chain_m_resolution :premises (@p99 @p94 @p92 @p75 @p74 @p72 @p23 @p18 @p16 @p9 @p8) :args (@t35 (@list true false true false false false false false true true) (@list @t57 @t52 @t25 @t27 @t37 @t39 @t32 @t33 @t28 @t31))) % 15.31/15.58 (step @p101 :rule cnf_equiv_neg1 :args (@t31)) % 15.31/15.58 (step @p102 :rule reordering :premises (@p101) :args ((or @t30 @t28 @t31))) % 15.31/15.58 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p8) :args (@t28 (@list true true) (@list @t30 @t31))) % 15.31/15.58 (step @p104 :rule cnf_and_pos :args (@t28 1)) % 15.31/15.58 (step @p105 :rule reordering :premises (@p104) :args ((or @t25 @t58))) % 15.31/15.58 (step @p106 :rule chain_m_resolution :premises (@p105 @p103) :args (@t25 @t47 @t59)) % 15.31/15.58 (step @p107 :rule cnf_equiv_pos2 :args (@t33)) % 15.31/15.58 (step @p108 :rule reordering :premises (@p107) :args ((or @t30 @t60 @t34))) % 15.31/15.58 (step @p109 :rule chain_m_resolution :premises (@p108 @p100 @p16) :args (@t60 @t61 (@list @t30 @t33))) % 15.31/15.58 (step @p110 :rule refl :args (@t67)) % 15.31/15.58 (step @p111 :rule bool-double-not-elim :args (@t32)) % 15.31/15.58 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t60) @t67))) % 15.31/15.58 (assume-push @p224 @t60) % 15.31/15.58 (step @p114 :rule skolemize :premises (@p224)) % 15.31/15.58 (step-pop @p225 :rule scope :premises (@p114)) % 15.31/15.58 (step @p115 :rule process_scope :premises (@p225) :args (@t67)) % 15.31/15.58 (step @p117 :rule implies_elim :premises (@p115)) % 15.31/15.58 (step @p118 :rule eq_resolve :premises (@p117 @p112)) % 15.31/15.58 (step @p119 :rule chain_m_resolution :premises (@p118 @p109) :args (@t67 @t68 (@list @t32))) % 15.31/15.58 (step @p120 :rule cnf_or_neg :args (@t66 1)) % 15.31/15.58 (step @p121 :rule chain_m_resolution :premises (@p120 @p119) :args (@t69 @t68 @t70)) % 15.31/15.58 (step @p122 :rule eq-symm :args (@t62 @t24)) % 15.31/15.58 (step @p123 :rule eq-symm :args (@t62 @t26)) % 15.31/15.58 (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t71)) % 15.31/15.58 (step @p125 :rule refl :args (@t64)) % 15.31/15.58 (step @p126 :rule cong :premises (@p125 @p124) :args (@t72)) % 15.31/15.58 (step @p127 :rule cong :premises (@p64 @p126) :args ((=> @t41 @t72))) % 15.31/15.58 (assume-push @p226 @t41) % 15.31/15.58 (step @p129 :rule instantiate :premises (@p54) :args ((@list @t62))) % 15.31/15.58 (step-pop @p227 :rule scope :premises (@p129)) % 15.31/15.58 (step @p130 :rule process_scope :premises (@p227) :args (@t72)) % 15.31/15.58 (step @p132 :rule eq_resolve :premises (@p130 @p127)) % 15.31/15.58 (step @p133 :rule implies_elim :premises (@p132)) % 15.31/15.58 (step @p134 :rule chain_m_resolution :premises (@p133 @p54) :args (@t76 @t47 @t51)) % 15.31/15.58 (step @p135 :rule bool-double-not-elim :args (@t64)) % 15.31/15.58 (step @p136 :rule refl :args (@t66)) % 15.31/15.58 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t66 (not @t65)))) % 15.31/15.58 (step @p138 :rule cnf_or_neg :args (@t66 0)) % 15.31/15.58 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 15.31/15.58 (step @p140 :rule reordering :premises (@p139) :args ((or @t64 @t66))) % 15.31/15.58 (step @p141 :rule chain_m_resolution :premises (@p140 @p119) :args (@t64 @t68 @t70)) % 15.31/15.58 (step @p142 :rule cnf_equiv_pos1 :args (@t76)) % 15.31/15.58 (step @p143 :rule reordering :premises (@p142) :args ((or @t65 @t75 (not @t76)))) % 15.31/15.58 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p134) :args (@t75 (@list false false) (@list @t64 @t76))) % 15.31/15.58 (step @p145 :rule cnf_and_pos :args (@t28 0)) % 15.31/15.58 (step @p146 :rule reordering :premises (@p145) :args ((or @t27 @t58))) % 15.31/15.58 (step @p147 :rule chain_m_resolution :premises (@p146 @p103) :args (@t27 @t47 @t59)) % 15.31/15.58 (step @p148 :rule refl :args (@t77)) % 15.31/15.58 (step @p149 :rule bool-double-not-elim :args (@t63)) % 15.31/15.58 (step @p150 :rule refl :args (@t78)) % 15.31/15.58 (step @p151 :rule nary_cong :premises (@p150 @p149 @p148) :args ((or @t78 @t79 @t77))) % 15.31/15.58 (assume-push @p228 @t27) % 15.31/15.58 (assume-push @p229 @t74) % 15.31/15.58 (assume-push @p230 @t69) % 15.31/15.58 (step @p155 :rule evaluate :args (@t80)) % 15.31/15.58 (step @p156 :rule true_intro :premises (@p228)) % 15.31/15.58 (step @p157 :rule refl :args (@t23)) % 15.31/15.58 (step @p158 :rule symm :premises (@p229)) % 15.31/15.58 (step @p159 :rule cong :premises (@p158 @p157) :args (@t63)) % 15.31/15.58 (step @p160 :rule false_intro :premises (@p230)) % 15.31/15.58 (step @p161 :rule symm :premises (@p160)) % 15.31/15.58 (step @p162 :rule trans :premises (@p161 @p159 @p156)) % 15.31/15.58 (step @p163 false :rule eq_resolve :premises (@p162 @p155)) % 15.31/15.58 (step-pop @p231 :rule scope :premises (@p163)) % 15.31/15.58 (step-pop @p232 :rule scope :premises (@p231)) % 15.31/15.58 (step-pop @p233 :rule scope :premises (@p232)) % 15.31/15.58 (step @p164 :rule process_scope :premises (@p233) :args (false)) % 15.31/15.58 (assume-push @p234 @t27) % 15.31/15.58 (assume-push @p235 @t69) % 15.31/15.58 (assume-push @p236 @t74) % 15.31/15.58 (step @p171 :rule and_intro :premises (@p234 @p236 @p235)) % 15.31/15.58 (step-pop @p237 :rule scope :premises (@p171)) % 15.31/15.58 (step-pop @p238 :rule scope :premises (@p237)) % 15.31/15.58 (step-pop @p239 :rule scope :premises (@p238)) % 15.31/15.58 (step @p172 :rule process_scope :premises (@p239) :args (@t81)) % 15.31/15.58 (step @p176 :rule implies_elim :premises (@p172)) % 15.31/15.58 (step @p177 :rule resolution :premises (@p176 @p164) :args (true @t81)) % 15.31/15.58 (step @p178 :rule not_and :premises (@p177)) % 15.31/15.58 (step @p179 :rule eq_resolve :premises (@p178 @p151)) % 15.31/15.58 (step @p180 :rule chain_m_resolution :premises (@p179 @p147 @p121) :args (@t77 (@list false true) (@list @t27 @t63))) % 15.31/15.58 (step @p181 :rule cnf_or_pos :args (@t75)) % 15.31/15.58 (step @p182 :rule reordering :premises (@p181) :args ((or @t74 @t73 (not @t75)))) % 15.31/15.58 (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p144) :args (@t73 @t61 (@list @t74 @t75))) % 15.31/15.58 (step @p184 :rule refl :args (@t82)) % 15.31/15.58 (step @p185 :rule refl :args (@t83)) % 15.31/15.58 (step @p186 :rule nary_cong :premises (@p185 @p149 @p184) :args ((or @t83 @t79 @t82))) % 15.31/15.58 (assume-push @p240 @t25) % 15.31/15.58 (assume-push @p241 @t73) % 15.31/15.58 (assume-push @p242 @t69) % 15.31/15.58 (step @p155 :rule evaluate :args (@t80)) % 15.31/15.58 (step @p190 :rule true_intro :premises (@p240)) % 15.31/15.58 (step @p157 :rule refl :args (@t23)) % 15.31/15.58 (step @p191 :rule symm :premises (@p241)) % 15.31/15.58 (step @p192 :rule cong :premises (@p191 @p157) :args (@t63)) % 15.31/15.58 (step @p193 :rule false_intro :premises (@p242)) % 15.31/15.58 (step @p194 :rule symm :premises (@p193)) % 15.31/15.58 (step @p195 :rule trans :premises (@p194 @p192 @p190)) % 15.31/15.58 (step @p196 false :rule eq_resolve :premises (@p195 @p155)) % 15.31/15.58 (step-pop @p243 :rule scope :premises (@p196)) % 15.31/15.58 (step-pop @p244 :rule scope :premises (@p243)) % 15.31/15.58 (step-pop @p245 :rule scope :premises (@p244)) % 15.31/15.58 (step @p197 :rule process_scope :premises (@p245) :args (false)) % 15.31/15.58 (assume-push @p246 @t25) % 15.31/15.58 (assume-push @p247 @t69) % 15.31/15.58 (assume-push @p248 @t73) % 15.31/15.58 (step @p204 :rule and_intro :premises (@p246 @p248 @p247)) % 15.31/15.58 (step-pop @p249 :rule scope :premises (@p204)) % 15.31/15.58 (step-pop @p250 :rule scope :premises (@p249)) % 15.31/15.58 (step-pop @p251 :rule scope :premises (@p250)) % 15.31/15.58 (step @p205 :rule process_scope :premises (@p251) :args (@t84)) % 15.31/15.58 (step @p209 :rule implies_elim :premises (@p205)) % 15.31/15.58 (step @p210 :rule resolution :premises (@p209 @p197) :args (true @t84)) % 15.31/15.58 (step @p211 :rule not_and :premises (@p210)) % 15.31/15.58 (step @p212 :rule eq_resolve :premises (@p211 @p186)) % 15.31/15.58 (step @p213 false :rule chain_m_resolution :premises (@p212 @p183 @p121 @p106) :args (false (@list false true false) (@list @t73 @t63 @t25))) % 15.31/15.58 ) % 15.31/15.58 % SZS output end Proof % 15.31/15.58 % cvc5 exiting %------------------------------------------------------------------------------