%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET890+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:48:56 AM UTC 2026 % Result : Theorem 19.02s 19.20s % Output : Proof 19.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET890+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n028.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:17:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 19.02/19.20 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 19.02/19.20 --- Run --no-e-matching --full-saturate-quant at 6... % 19.02/19.20 % SZS status Theorem % 19.02/19.20 % SZS output start Proof % 19.02/19.20 ( % 19.02/19.20 (declare-sort $$unsorted 0) % 19.02/19.20 (declare-const tptp.empty (-> $$unsorted Bool)) % 19.02/19.20 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 19.02/19.20 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 19.02/19.20 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 19.02/19.20 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 19.02/19.20 (define @t1 () (@var "A" $$unsorted)) % 19.02/19.20 (define @t2 () (@var "B" $$unsorted)) % 19.02/19.20 (define @t3 () (tptp.in @t1 @t2)) % 19.02/19.20 (define @t4 () (@list @t1 @t2)) % 19.02/19.20 (define @t5 () (tptp.subset @t1 @t2)) % 19.02/19.20 (define @t6 () (@var "C" $$unsorted)) % 19.02/19.20 (define @t7 () (tptp.in @t6 @t2)) % 19.02/19.20 (define @t8 () (= @t7 (= @t6 @t1))) % 19.02/19.20 (define @t9 () (@list @t6)) % 19.02/19.20 (define @t10 () (forall @t9 @t8)) % 19.02/19.20 (define @t11 () (tptp.singleton @t1)) % 19.02/19.20 (define @t12 () (= @t2 @t11)) % 19.02/19.20 (define @t13 () (= @t12 @t10)) % 19.02/19.20 (define @t14 () (forall @t4 @t13)) % 19.02/19.20 (define @t15 () (tptp.in @t6 @t1)) % 19.02/19.20 (define @t16 () (forall @t9 (=> @t15 @t7))) % 19.02/19.20 (define @t17 () (= @t5 @t16)) % 19.02/19.20 (define @t18 () (forall @t4 @t17)) % 19.02/19.20 (define @t19 () (@var "D" $$unsorted)) % 19.02/19.20 (define @t20 () (tptp.in @t19 @t1)) % 19.02/19.20 (define @t21 () (tptp.in @t6 @t19)) % 19.02/19.20 (define @t22 () (and @t21 @t20)) % 19.02/19.20 (define @t23 () (@list @t19)) % 19.02/19.20 (define @t24 () (exists @t23 @t22)) % 19.02/19.20 (define @t25 () (= @t7 @t24)) % 19.02/19.20 (define @t26 () (forall @t9 @t25)) % 19.02/19.20 (define @t27 () (= @t2 (tptp.union @t1))) % 19.02/19.20 (define @t28 () (= @t27 @t26)) % 19.02/19.20 (define @t29 () (forall @t4 @t28)) % 19.02/19.20 (define @t30 () (tptp.subset @t1 (tptp.union @t2))) % 19.02/19.20 (define @t31 () (forall @t4 (=> @t3 @t30))) % 19.02/19.20 (define @t32 () (tptp.empty @t1)) % 19.02/19.20 (define @t33 () (@list @t1)) % 19.02/19.20 (define @t34 () (tptp.union @t11)) % 19.02/19.20 (define @t35 () (forall @t33 (= @t34 @t1))) % 19.02/19.20 (define @t36 () (not @t35)) % 19.02/19.20 (define @t37 () (@quantifiers_skolemize (forall @t33 (= @t1 @t34)) 0)) % 19.02/19.20 (define @t38 () (tptp.singleton @t37)) % 19.02/19.20 (define @t39 () (tptp.in @t6 @t38)) % 19.02/19.20 (define @t40 () (forall @t9 (= (= @t6 @t37) @t39))) % 19.02/19.20 (define @t41 () (= @t37 @t6)) % 19.02/19.20 (define @t42 () (forall @t9 (= @t39 @t41))) % 19.02/19.20 (define @t43 () (= (= @t38 @t38) @t42)) % 19.02/19.20 (define @t44 () (forall @t4 (= @t12 (forall @t9 (= @t7 (= @t1 @t6)))))) % 19.02/19.20 (define @t45 () (@list @t37 @t38)) % 19.02/19.20 (define @t46 () (@list false)) % 19.02/19.20 (define @t47 () (tptp.union @t38)) % 19.02/19.20 (define @t48 () (tptp.in @t6 @t47)) % 19.02/19.20 (define @t49 () (forall @t9 (or (not @t48) (tptp.in @t6 @t37)))) % 19.02/19.20 (define @t50 () (@quantifiers_skolemize @t49 0)) % 19.02/19.20 (define @t51 () (tptp.in @t50 @t47)) % 19.02/19.20 (define @t52 () (tptp.in @t50 @t37)) % 19.02/19.20 (define @t53 () (not @t51)) % 19.02/19.20 (define @t54 () (or @t53 @t52)) % 19.02/19.20 (define @t55 () (forall @t23 (not @t22))) % 19.02/19.20 (define @t56 () (not @t55)) % 19.02/19.20 (define @t57 () (not (tptp.in @t19 @t38))) % 19.02/19.20 (define @t58 () (not @t21)) % 19.02/19.20 (define @t59 () (not (forall @t23 (or @t58 @t57)))) % 19.02/19.20 (define @t60 () (forall @t9 (= @t59 @t48))) % 19.02/19.20 (define @t61 () (forall @t9 (= @t48 @t59))) % 19.02/19.20 (define @t62 () (= (= @t47 @t47) @t61)) % 19.02/19.20 (define @t63 () (forall @t4 (= @t27 (forall @t9 (= @t7 (not (forall @t23 (or @t58 (not @t20))))))))) % 19.02/19.20 (define @t64 () (forall @t23 (or (not (tptp.in @t50 @t19)) @t57))) % 19.02/19.20 (define @t65 () (not @t64)) % 19.02/19.20 (define @t66 () (= @t65 @t51)) % 19.02/19.20 (define @t67 () (= @t51 @t65)) % 19.02/19.20 (define @t68 () (@quantifiers_skolemize @t64 0)) % 19.02/19.20 (define @t69 () (tptp.in @t68 @t38)) % 19.02/19.20 (define @t70 () (not @t69)) % 19.02/19.20 (define @t71 () (tptp.in @t50 @t68)) % 19.02/19.20 (define @t72 () (not @t71)) % 19.02/19.20 (define @t73 () (or @t72 @t70)) % 19.02/19.20 (define @t74 () (not @t73)) % 19.02/19.20 (define @t75 () (= @t68 @t37)) % 19.02/19.20 (define @t76 () (= @t75 @t69)) % 19.02/19.20 (define @t77 () (= @t37 @t68)) % 19.02/19.20 (define @t78 () (= @t69 @t77)) % 19.02/19.20 (define @t79 () (not @t77)) % 19.02/19.20 (define @t80 () (not @t52)) % 19.02/19.20 (define @t81 () (and @t80 @t77 @t71)) % 19.02/19.20 (define @t82 () (not @t54)) % 19.02/19.20 (define @t83 () (not @t49)) % 19.02/19.20 (define @t84 () (tptp.subset @t47 @t37)) % 19.02/19.20 (define @t85 () (= @t84 @t49)) % 19.02/19.20 (define @t86 () (tptp.subset @t37 @t47)) % 19.02/19.20 (define @t87 () (and @t86 @t84)) % 19.02/19.20 (define @t88 () (= @t37 @t47)) % 19.02/19.20 (define @t89 () (= @t88 @t87)) % 19.02/19.20 (define @t90 () (not @t87)) % 19.02/19.20 (define @t91 () (@list true false)) % 19.02/19.20 (define @t92 () (not @t86)) % 19.02/19.20 (define @t93 () (tptp.in @t37 @t38)) % 19.02/19.20 (define @t94 () (not @t93)) % 19.02/19.20 (define @t95 () (or @t94 @t86)) % 19.02/19.20 (define @t96 () (= (= @t37 @t37) @t93)) % 19.02/19.20 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 19.02/19.20 (assume @p2 (forall @t4 (= (= @t1 @t2) (and @t5 (tptp.subset @t2 @t1))))) % 19.02/19.20 (assume @p3 @t14) % 19.02/19.20 (assume @p4 @t18) % 19.02/19.20 (assume @p5 @t29) % 19.02/19.20 (assume @p6 @t31) % 19.02/19.20 (assume @p7 (exists @t33 @t32)) % 19.02/19.20 (assume @p8 (exists @t33 (not @t32))) % 19.02/19.20 (assume @p9 (forall @t4 (tptp.subset @t1 @t1))) % 19.02/19.20 (assume @p10 @t36) % 19.02/19.20 (assume @p11 true) % 19.02/19.20 (step @p12 :rule eq-symm :args (@t6 @t1)) % 19.02/19.20 (step @p13 :rule refl :args (@t7)) % 19.02/19.20 (step @p14 :rule cong :premises (@p13 @p12) :args (@t8)) % 19.02/19.20 (step @p15 :rule cong :premises (@p14) :args (@t10)) % 19.02/19.20 (step @p16 :rule refl :args (@t12)) % 19.02/19.20 (step @p17 :rule cong :premises (@p16 @p15) :args (@t13)) % 19.02/19.20 (step @p18 :rule cong :premises (@p17) :args (@t14)) % 19.02/19.20 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 19.02/19.20 (step @p20 :rule bool-eq-true :args (@t40)) % 19.02/19.20 (step @p21 :rule eq-symm :args (true @t40)) % 19.02/19.20 (step @p22 :rule trans :premises (@p21 @p20)) % 19.02/19.20 (step @p23 :rule refl :args (@t39)) % 19.02/19.20 (step @p24 :rule eq-symm :args (@t37 @t6)) % 19.02/19.20 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t41 @t39))) % 19.02/19.20 (step @p26 :rule eq-symm :args (@t39 @t41)) % 19.02/19.20 (step @p27 :rule trans :premises (@p26 @p25)) % 19.02/19.20 (step @p28 :rule cong :premises (@p27) :args (@t42)) % 19.02/19.20 (step @p29 :rule eq-refl :args (@t38)) % 19.02/19.20 (step @p30 :rule cong :premises (@p29 @p28) :args (@t43)) % 19.02/19.20 (step @p31 :rule trans :premises (@p30 @p22)) % 19.02/19.20 (step @p32 :rule refl :args (@t44)) % 19.02/19.20 (step @p33 :rule cong :premises (@p32 @p31) :args ((=> @t44 @t43))) % 19.02/19.20 (assume-push @p211 @t44) % 19.02/19.20 (step @p35 :rule instantiate :premises (@p19) :args (@t45)) % 19.02/19.20 (step-pop @p212 :rule scope :premises (@p35)) % 19.02/19.20 (step @p36 :rule process_scope :premises (@p212) :args (@t43)) % 19.02/19.20 (step @p38 :rule eq_resolve :premises (@p36 @p33)) % 19.02/19.20 (step @p39 :rule implies_elim :premises (@p38)) % 19.02/19.20 (step @p40 :rule chain_m_resolution :premises (@p39 @p19) :args (@t40 @t46 (@list @t44))) % 19.02/19.20 (step @p41 :rule bool-impl-elim :args (@t3 @t30)) % 19.02/19.20 (step @p42 :rule cong :premises (@p41) :args (@t31)) % 19.02/19.20 (step @p43 :rule eq_resolve :premises (@p6 @p42)) % 19.02/19.20 (step @p44 :rule instantiate :premises (@p43) :args (@t45)) % 19.02/19.20 (step @p45 :rule bool-impl-elim :args (@t15 @t7)) % 19.02/19.20 (step @p46 :rule cong :premises (@p45) :args (@t16)) % 19.02/19.20 (step @p47 :rule refl :args (@t5)) % 19.02/19.20 (step @p48 :rule cong :premises (@p47 @p46) :args (@t17)) % 19.02/19.20 (step @p49 :rule cong :premises (@p48) :args (@t18)) % 19.02/19.20 (step @p50 :rule eq_resolve :premises (@p4 @p49)) % 19.02/19.20 (step @p51 :rule instantiate :premises (@p50) :args ((@list @t47 @t37))) % 19.02/19.20 (step @p52 :rule bool-double-not-elim :args (@t51)) % 19.02/19.20 (step @p53 :rule refl :args (@t54)) % 19.02/19.20 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t54 (not @t53)))) % 19.02/19.20 (step @p55 :rule cnf_or_neg :args (@t54 0)) % 19.02/19.20 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 19.02/19.20 (step @p57 :rule reordering :premises (@p56) :args ((or @t51 @t54))) % 19.02/19.20 (step @p58 :rule cnf_or_neg :args (@t54 1)) % 19.02/19.20 (step @p59 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 19.02/19.20 (step @p60 :rule cong :premises (@p59) :args (@t55)) % 19.02/19.20 (step @p61 :rule cong :premises (@p60) :args (@t56)) % 19.02/19.20 (step @p62 :rule exists-elim :args ((= @t24 @t56))) % 19.02/19.20 (step @p63 :rule trans :premises (@p62 @p61)) % 19.02/19.20 (step @p64 :rule cong :premises (@p13 @p63) :args (@t25)) % 19.02/19.20 (step @p65 :rule cong :premises (@p64) :args (@t26)) % 19.02/19.20 (step @p66 :rule refl :args (@t27)) % 19.02/19.20 (step @p67 :rule cong :premises (@p66 @p65) :args (@t28)) % 19.02/19.20 (step @p68 :rule cong :premises (@p67) :args (@t29)) % 19.02/19.20 (step @p69 :rule eq_resolve :premises (@p5 @p68)) % 19.02/19.20 (step @p70 :rule bool-eq-true :args (@t60)) % 19.02/19.20 (step @p71 :rule eq-symm :args (true @t60)) % 19.02/19.20 (step @p72 :rule trans :premises (@p71 @p70)) % 19.02/19.20 (step @p73 :rule eq-symm :args (@t48 @t59)) % 19.02/19.20 (step @p74 :rule cong :premises (@p73) :args (@t61)) % 19.02/19.20 (step @p75 :rule eq-refl :args (@t47)) % 19.02/19.20 (step @p76 :rule cong :premises (@p75 @p74) :args (@t62)) % 19.02/19.20 (step @p77 :rule trans :premises (@p76 @p72)) % 19.02/19.20 (step @p78 :rule refl :args (@t63)) % 19.02/19.20 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t63 @t62))) % 19.02/19.20 (assume-push @p213 @t63) % 19.02/19.20 (step @p81 :rule instantiate :premises (@p69) :args ((@list @t38 @t47))) % 19.02/19.20 (step-pop @p214 :rule scope :premises (@p81)) % 19.02/19.20 (step @p82 :rule process_scope :premises (@p214) :args (@t62)) % 19.02/19.20 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 19.02/19.20 (step @p85 :rule implies_elim :premises (@p84)) % 19.02/19.20 (step @p86 :rule chain_m_resolution :premises (@p85 @p69) :args (@t60 @t46 (@list @t63))) % 19.02/19.20 (step @p87 :rule eq-symm :args (@t65 @t51)) % 19.02/19.20 (step @p88 :rule refl :args (@t60)) % 19.02/19.20 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t60 @t66))) % 19.02/19.20 (assume-push @p215 @t60) % 19.02/19.20 (step @p91 :rule instantiate :premises (@p86) :args ((@list @t50))) % 19.02/19.20 (step-pop @p216 :rule scope :premises (@p91)) % 19.02/19.20 (step @p92 :rule process_scope :premises (@p216) :args (@t66)) % 19.02/19.20 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 19.02/19.20 (step @p95 :rule implies_elim :premises (@p94)) % 19.02/19.20 (step @p96 :rule chain_m_resolution :premises (@p95 @p86) :args (@t67 @t46 (@list @t60))) % 19.02/19.20 (step @p97 :rule cnf_equiv_pos1 :args (@t67)) % 19.02/19.20 (step @p98 :rule reordering :premises (@p97) :args ((or @t53 @t65 (not @t67)))) % 19.02/19.20 (step @p99 :rule refl :args (@t74)) % 19.02/19.20 (step @p100 :rule bool-double-not-elim :args (@t64)) % 19.02/19.20 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t65) @t74))) % 19.02/19.20 (assume-push @p217 @t65) % 19.02/19.20 (step @p103 :rule skolemize :premises (@p217)) % 19.02/19.20 (step-pop @p218 :rule scope :premises (@p103)) % 19.02/19.20 (step @p104 :rule process_scope :premises (@p218) :args (@t74)) % 19.02/19.20 (step @p106 :rule implies_elim :premises (@p104)) % 19.02/19.20 (step @p107 :rule eq_resolve :premises (@p106 @p101)) % 19.02/19.20 (step @p108 :rule bool-double-not-elim :args (@t71)) % 19.02/19.20 (step @p109 :rule refl :args (@t73)) % 19.02/19.20 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t73 (not @t72)))) % 19.02/19.20 (step @p111 :rule cnf_or_neg :args (@t73 0)) % 19.02/19.20 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 19.02/19.20 (step @p113 :rule reordering :premises (@p112) :args ((or @t71 @t73))) % 19.02/19.20 (step @p114 :rule bool-double-not-elim :args (@t69)) % 19.02/19.20 (step @p115 :rule nary_cong :premises (@p109 @p114) :args ((or @t73 (not @t70)))) % 19.02/19.20 (step @p116 :rule cnf_or_neg :args (@t73 1)) % 19.02/19.20 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 19.02/19.20 (step @p118 :rule reordering :premises (@p117) :args ((or @t69 @t73))) % 19.02/19.20 (step @p119 :rule eq-symm :args (@t68 @t37)) % 19.02/19.20 (step @p120 :rule refl :args (@t69)) % 19.02/19.20 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t69 @t75))) % 19.02/19.20 (step @p122 :rule eq-symm :args (@t75 @t69)) % 19.02/19.20 (step @p123 :rule trans :premises (@p122 @p121)) % 19.02/19.20 (step @p124 :rule refl :args (@t40)) % 19.02/19.20 (step @p125 :rule cong :premises (@p124 @p123) :args ((=> @t40 @t76))) % 19.02/19.20 (assume-push @p219 @t40) % 19.02/19.20 (step @p127 :rule instantiate :premises (@p40) :args ((@list @t68))) % 19.02/19.20 (step-pop @p220 :rule scope :premises (@p127)) % 19.02/19.20 (step @p128 :rule process_scope :premises (@p220) :args (@t76)) % 19.02/19.20 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 19.02/19.20 (step @p131 :rule implies_elim :premises (@p130)) % 19.02/19.20 (step @p132 :rule chain_m_resolution :premises (@p131 @p40) :args (@t78 @t46 (@list @t40))) % 19.02/19.20 (step @p133 :rule cnf_equiv_pos1 :args (@t78)) % 19.02/19.20 (step @p134 :rule reordering :premises (@p133) :args ((or @t70 @t77 (not @t78)))) % 19.02/19.20 (step @p135 :rule refl :args (@t79)) % 19.02/19.20 (step @p136 :rule refl :args (@t72)) % 19.02/19.20 (step @p137 :rule bool-double-not-elim :args (@t52)) % 19.02/19.20 (step @p138 :rule nary_cong :premises (@p137 @p136 @p135) :args ((or (not @t80) @t72 @t79))) % 19.02/19.20 (assume-push @p221 @t80) % 19.02/19.20 (assume-push @p222 @t77) % 19.02/19.20 (assume-push @p223 @t71) % 19.02/19.20 (step @p142 :rule evaluate :args ((= true false))) % 19.02/19.20 (step @p143 :rule false_intro :premises (@p221)) % 19.02/19.20 (step @p144 :rule symm :premises (@p222)) % 19.02/19.20 (step @p145 :rule refl :args (@t50)) % 19.02/19.20 (step @p146 :rule cong :premises (@p145 @p144) :args (@t71)) % 19.02/19.20 (step @p147 :rule true_intro :premises (@p223)) % 19.02/19.20 (step @p148 :rule symm :premises (@p147)) % 19.02/19.20 (step @p149 :rule trans :premises (@p148 @p146 @p143)) % 19.02/19.20 (step @p150 false :rule eq_resolve :premises (@p149 @p142)) % 19.02/19.20 (step-pop @p224 :rule scope :premises (@p150)) % 19.02/19.20 (step-pop @p225 :rule scope :premises (@p224)) % 19.02/19.20 (step-pop @p226 :rule scope :premises (@p225)) % 19.02/19.20 (step @p151 :rule process_scope :premises (@p226) :args (false)) % 19.02/19.20 (assume-push @p227 @t80) % 19.02/19.20 (assume-push @p228 @t71) % 19.02/19.20 (assume-push @p229 @t77) % 19.02/19.20 (step @p158 :rule and_intro :premises (@p227 @p229 @p228)) % 19.02/19.20 (step-pop @p230 :rule scope :premises (@p158)) % 19.02/19.20 (step-pop @p231 :rule scope :premises (@p230)) % 19.02/19.20 (step-pop @p232 :rule scope :premises (@p231)) % 19.02/19.20 (step @p159 :rule process_scope :premises (@p232) :args (@t81)) % 19.02/19.20 (step @p163 :rule implies_elim :premises (@p159)) % 19.02/19.20 (step @p164 :rule resolution :premises (@p163 @p151) :args (true @t81)) % 19.02/19.21 (step @p165 :rule not_and :premises (@p164)) % 19.02/19.21 (step @p166 :rule eq_resolve :premises (@p165 @p138)) % 19.02/19.21 (step @p167 :rule chain_m_resolution :premises (@p166 @p134 @p132 @p118 @p113 @p107 @p98 @p96 @p58 @p57) :args (@t54 (@list false false false false true true false true false) (@list @t77 @t78 @t69 @t71 @t73 @t64 @t67 @t52 @t51))) % 19.02/19.21 (step @p168 :rule refl :args (@t82)) % 19.02/19.21 (step @p169 :rule bool-double-not-elim :args (@t49)) % 19.02/19.21 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or (not @t83) @t82))) % 19.02/19.21 (assume-push @p233 @t83) % 19.02/19.21 (step @p172 :rule skolemize :premises (@p233)) % 19.02/19.21 (step-pop @p234 :rule scope :premises (@p172)) % 19.02/19.21 (step @p173 :rule process_scope :premises (@p234) :args (@t82)) % 19.02/19.21 (step @p175 :rule implies_elim :premises (@p173)) % 19.02/19.21 (step @p176 :rule eq_resolve :premises (@p175 @p170)) % 19.02/19.21 (step @p177 :rule chain_m_resolution :premises (@p176 @p167) :args (@t49 @t46 (@list @t54))) % 19.02/19.21 (step @p178 :rule cnf_equiv_pos2 :args (@t85)) % 19.02/19.21 (step @p179 :rule reordering :premises (@p178) :args ((or @t84 @t83 (not @t85)))) % 19.02/19.21 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p51) :args (@t84 (@list false false) (@list @t49 @t85))) % 19.02/19.21 (step @p181 :rule instantiate :premises (@p2) :args ((@list @t37 @t47))) % 19.02/19.21 (step @p182 :rule eq-symm :args (@t34 @t1)) % 19.02/19.21 (step @p183 :rule cong :premises (@p182) :args (@t35)) % 19.02/19.21 (step @p184 :rule cong :premises (@p183) :args (@t36)) % 19.02/19.21 (step @p185 :rule eq_resolve :premises (@p10 @p184)) % 19.02/19.21 (step @p186 :rule skolemize :premises (@p185)) % 19.02/19.21 (step @p187 :rule cnf_equiv_pos2 :args (@t89)) % 19.02/19.21 (step @p188 :rule reordering :premises (@p187) :args ((or @t88 @t90 (not @t89)))) % 19.02/19.21 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p181) :args (@t90 @t91 (@list @t88 @t89))) % 19.02/19.21 (step @p190 :rule cnf_and_neg :args (@t87)) % 19.02/19.21 (step @p191 :rule reordering :premises (@p190) :args ((or @t92 @t87 (not @t84)))) % 19.02/19.21 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p180) :args (@t92 @t91 (@list @t87 @t84))) % 19.02/19.21 (step @p193 :rule cnf_or_pos :args (@t95)) % 19.02/19.21 (step @p194 :rule reordering :premises (@p193) :args ((or @t94 @t86 (not @t95)))) % 19.02/19.21 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p44) :args (@t94 @t91 (@list @t86 @t95))) % 19.02/19.21 (step @p196 :rule bool-eq-true :args (@t93)) % 19.02/19.21 (step @p197 :rule eq-symm :args (true @t93)) % 19.02/19.21 (step @p198 :rule trans :premises (@p197 @p196)) % 19.02/19.21 (step @p199 :rule refl :args (@t93)) % 19.02/19.21 (step @p200 :rule eq-refl :args (@t37)) % 19.02/19.21 (step @p201 :rule cong :premises (@p200 @p199) :args (@t96)) % 19.02/19.21 (step @p202 :rule trans :premises (@p201 @p198)) % 19.02/19.21 (step @p203 :rule cong :premises (@p124 @p202) :args ((=> @t40 @t96))) % 19.02/19.21 (assume-push @p235 @t40) % 19.02/19.21 (step @p205 :rule instantiate :premises (@p40) :args ((@list @t37))) % 19.02/19.21 (step-pop @p236 :rule scope :premises (@p205)) % 19.02/19.21 (step @p206 :rule process_scope :premises (@p236) :args (@t96)) % 19.02/19.21 (step @p208 :rule eq_resolve :premises (@p206 @p203)) % 19.02/19.21 (step @p209 :rule implies_elim :premises (@p208)) % 19.02/19.21 (step @p210 false :rule chain_m_resolution :premises (@p209 @p195 @p40) :args (false @t91 (@list @t93 @t40))) % 19.02/19.21 ) % 19.02/19.21 % SZS output end Proof % 19.02/19.21 % cvc5 exiting %------------------------------------------------------------------------------