%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN066+1 : TPTP v9.2.1. Bugfixed v3.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:07:58 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN066+1 : TPTP v9.2.1. Bugfixed v3.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 23:19:53 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.big_r (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.big_p (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.big_q (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "W" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.big_q @t2 @t1)) % 0.37/0.56 (define @t4 () (@list @t2)) % 0.37/0.56 (define @t5 () (exists @t4 @t3)) % 0.37/0.56 (define @t6 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t7 () (tptp.big_p @t6 @t1)) % 0.37/0.56 (define @t8 () (=> @t7 @t5)) % 0.37/0.56 (define @t9 () (@var "Z" $$unsorted)) % 0.37/0.56 (define @t10 () (tptp.big_p @t6 @t9)) % 0.37/0.56 (define @t11 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t12 () (tptp.big_p @t11 @t9)) % 0.37/0.56 (define @t13 () (=> @t12 @t7)) % 0.37/0.56 (define @t14 () (and @t13 @t10 @t8)) % 0.37/0.56 (define @t15 () (@list @t6)) % 0.37/0.56 (define @t16 () (exists @t15 @t14)) % 0.37/0.56 (define @t17 () (@list @t11)) % 0.37/0.56 (define @t18 () (forall @t17 @t16)) % 0.37/0.56 (define @t19 () (@list @t1)) % 0.37/0.56 (define @t20 () (exists @t19 @t18)) % 0.37/0.56 (define @t21 () (@list @t9)) % 0.37/0.56 (define @t22 () (forall @t21 @t20)) % 0.37/0.56 (define @t23 () (tptp.big_q @t6 @t9)) % 0.37/0.56 (define @t24 () (exists @t15 @t23)) % 0.37/0.56 (define @t25 () (not @t12)) % 0.37/0.56 (define @t26 () (=> @t25 @t24)) % 0.37/0.56 (define @t27 () (@list @t11 @t9)) % 0.37/0.56 (define @t28 () (forall @t27 @t26)) % 0.37/0.56 (define @t29 () (forall @t21 (tptp.big_r @t9 @t9))) % 0.37/0.56 (define @t30 () (tptp.big_q @t11 @t6)) % 0.37/0.56 (define @t31 () (@list @t11 @t6)) % 0.37/0.56 (define @t32 () (exists @t31 @t30)) % 0.37/0.56 (define @t33 () (=> @t32 @t29)) % 0.37/0.56 (define @t34 () (tptp.big_r @t11 @t6)) % 0.37/0.56 (define @t35 () (exists @t15 @t34)) % 0.37/0.56 (define @t36 () (forall @t17 @t35)) % 0.37/0.56 (define @t37 () (not @t36)) % 0.37/0.56 (define @t38 () (not (forall @t15 (not @t34)))) % 0.37/0.56 (define @t39 () (forall @t17 @t38)) % 0.37/0.56 (define @t40 () (@quantifiers_skolemize @t39 0)) % 0.37/0.56 (define @t41 () (forall @t15 (not (tptp.big_r @t40 @t6)))) % 0.37/0.56 (define @t42 () (not @t39)) % 0.37/0.56 (define @t43 () (not (not @t41))) % 0.37/0.56 (define @t44 () (@list true)) % 0.37/0.56 (define @t45 () (@list @t40)) % 0.37/0.56 (define @t46 () (tptp.big_r @t40 @t40)) % 0.37/0.56 (define @t47 () (forall @t31 (not @t30))) % 0.37/0.56 (define @t48 () (not @t47)) % 0.37/0.56 (define @t49 () (@var "BOUND_VARIABLE_7466" $$unsorted)) % 0.37/0.56 (define @t50 () (not (tptp.big_q @t49 @t1))) % 0.37/0.56 (define @t51 () (and @t7 @t50)) % 0.37/0.56 (define @t52 () (not @t10)) % 0.37/0.56 (define @t53 () (not @t7)) % 0.37/0.56 (define @t54 () (and @t12 @t53)) % 0.37/0.56 (define @t55 () (or @t54 @t52 @t51)) % 0.37/0.56 (define @t56 () (@list @t6 @t49)) % 0.37/0.56 (define @t57 () (forall @t56 @t55)) % 0.37/0.56 (define @t58 () (forall @t17 (not @t57))) % 0.37/0.56 (define @t59 () (@list @t49)) % 0.37/0.56 (define @t60 () (forall @t59 @t55)) % 0.37/0.56 (define @t61 () (forall @t59 @t50)) % 0.37/0.56 (define @t62 () (forall @t59 @t7)) % 0.37/0.56 (define @t63 () (and @t62 @t61)) % 0.37/0.56 (define @t64 () (forall @t59 @t51)) % 0.37/0.56 (define @t65 () (or @t54 @t52 @t64)) % 0.37/0.56 (define @t66 () (forall @t4 (not @t3))) % 0.37/0.56 (define @t67 () (not @t66)) % 0.37/0.56 (define @t68 () (=> @t7 @t67)) % 0.37/0.56 (define @t69 () (not @t68)) % 0.37/0.56 (define @t70 () (not @t13)) % 0.37/0.56 (define @t71 () (or @t70 @t52 @t69)) % 0.37/0.56 (define @t72 () (and @t13 @t10 @t68)) % 0.37/0.56 (define @t73 () (forall @t15 (not @t72))) % 0.37/0.56 (define @t74 () (not @t73)) % 0.37/0.56 (define @t75 () (@quantifiers_skolemize @t47 1)) % 0.37/0.56 (define @t76 () (not (tptp.big_p @t6 @t75))) % 0.37/0.56 (define @t77 () (tptp.big_p @t11 @t75)) % 0.37/0.56 (define @t78 () (forall @t19 (not (forall @t17 (not (forall @t56 (or (and @t77 @t53) @t76 @t51))))))) % 0.37/0.56 (define @t79 () (@quantifiers_skolemize @t78 0)) % 0.37/0.56 (define @t80 () (tptp.big_p @t6 @t79)) % 0.37/0.56 (define @t81 () (and @t80 (not (tptp.big_q @t49 @t79)))) % 0.37/0.56 (define @t82 () (not @t80)) % 0.37/0.56 (define @t83 () (forall @t17 (not (forall @t56 (or (and @t77 @t82) @t76 @t81))))) % 0.37/0.56 (define @t84 () (not @t78)) % 0.37/0.56 (define @t85 () (not (not @t83))) % 0.37/0.56 (define @t86 () (tptp.big_p @t40 @t75)) % 0.37/0.56 (define @t87 () (forall @t56 (or (and @t86 @t82) @t76 @t81))) % 0.37/0.56 (define @t88 () (@quantifiers_skolemize @t87 1)) % 0.37/0.56 (define @t89 () (tptp.big_q @t88 @t79)) % 0.37/0.56 (define @t90 () (not @t89)) % 0.37/0.56 (define @t91 () (@quantifiers_skolemize @t87 0)) % 0.37/0.56 (define @t92 () (tptp.big_p @t91 @t79)) % 0.37/0.56 (define @t93 () (and @t92 @t90)) % 0.37/0.56 (define @t94 () (not @t92)) % 0.37/0.56 (define @t95 () (and @t86 @t94)) % 0.37/0.56 (define @t96 () (or @t95 (not (tptp.big_p @t91 @t75)) @t93)) % 0.37/0.56 (define @t97 () (@list @t96)) % 0.37/0.56 (define @t98 () (not (forall @t15 (not @t23)))) % 0.37/0.56 (define @t99 () (forall @t15 (not (tptp.big_q @t6 @t75)))) % 0.37/0.56 (define @t100 () (@quantifiers_skolemize @t99 0)) % 0.37/0.56 (define @t101 () (tptp.big_q @t100 @t75)) % 0.37/0.56 (define @t102 () (not @t101)) % 0.37/0.56 (define @t103 () (not @t99)) % 0.37/0.56 (define @t104 () (not @t102)) % 0.37/0.56 (define @t105 () (or @t86 @t103)) % 0.37/0.56 (define @t106 () (@list false false)) % 0.37/0.56 (define @t107 () (not @t86)) % 0.37/0.56 (assume @p1 @t22) % 0.37/0.56 (assume @p2 @t28) % 0.37/0.56 (assume @p3 @t33) % 0.37/0.56 (assume @p4 @t37) % 0.37/0.56 (assume @p5 true) % 0.37/0.56 (step @p6 :rule exists-elim :args ((= @t35 @t38))) % 0.37/0.56 (step @p7 :rule cong :premises (@p6) :args (@t36)) % 0.37/0.56 (step @p8 :rule cong :premises (@p7) :args (@t37)) % 0.37/0.56 (step @p9 :rule eq_resolve :premises (@p4 @p8)) % 0.37/0.56 (step @p10 :rule refl :args (@t41)) % 0.37/0.56 (step @p11 :rule bool-double-not-elim :args (@t39)) % 0.37/0.56 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or (not @t42) @t41))) % 0.37/0.56 (step @p13 :rule bool-double-not-elim :args (@t41)) % 0.37/0.56 (step @p14 :rule refl :args (@t42)) % 0.37/0.56 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t42 @t43))) % 0.37/0.56 (assume-push @p168 @t42) % 0.37/0.56 (step @p17 :rule skolemize :premises (@p9)) % 0.37/0.56 (step-pop @p169 :rule scope :premises (@p17)) % 0.37/0.56 (step @p18 :rule process_scope :premises (@p169) :args (@t43)) % 0.37/0.56 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.37/0.56 (step @p21 :rule implies_elim :premises (@p20)) % 0.37/0.56 (step @p22 :rule eq_resolve :premises (@p21 @p12)) % 0.37/0.56 (step @p23 :rule chain_m_resolution :premises (@p22 @p9) :args (@t41 @t44 (@list @t39))) % 0.37/0.56 (step @p24 :rule instantiate :premises (@p23) :args (@t45)) % 0.37/0.56 (assume-push @p170 @t29) % 0.37/0.56 (step @p26 :rule instantiate :premises (@p170) :args (@t45)) % 0.37/0.56 (step-pop @p171 :rule scope :premises (@p26)) % 0.37/0.56 (step @p27 :rule process_scope :premises (@p171) :args (@t46)) % 0.37/0.56 (step @p29 :rule implies_elim :premises (@p27)) % 0.37/0.56 (step @p30 :rule chain_m_resolution :premises (@p29 @p24) :args ((not @t29) @t44 (@list @t46))) % 0.37/0.56 (step @p31 :rule refl :args (@t29)) % 0.37/0.56 (step @p32 :rule bool-double-not-elim :args (@t47)) % 0.37/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t48) @t29))) % 0.37/0.56 (step @p34 :rule exists-elim :args ((= @t32 @t48))) % 0.37/0.56 (step @p35 :rule cong :premises (@p34 @p31) :args (@t33)) % 0.37/0.56 (step @p36 :rule eq_resolve :premises (@p3 @p35)) % 0.37/0.56 (step @p37 :rule implies_elim :premises (@p36)) % 0.37/0.56 (step @p38 :rule eq_resolve :premises (@p37 @p33)) % 0.37/0.56 (step @p39 :rule reordering :premises (@p38) :args ((or @t29 @t47))) % 0.37/0.56 (step @p40 :rule chain_m_resolution :premises (@p39 @p30) :args (@t47 @t44 (@list @t29))) % 0.37/0.56 (step @p41 :rule exists-elim :args ((= (exists @t19 @t58) (not (forall @t19 (not @t58)))))) % 0.37/0.56 (step @p42 :rule quant-merge-prenex :args ((= (forall @t15 @t60) @t57))) % 0.37/0.56 (step @p43 :rule alpha_equiv :args (@t61 (@list @t49) (@list @t2))) % 0.37/0.56 (step @p44 :rule quant-unused-vars :args ((= @t62 @t7))) % 0.37/0.56 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t63)) % 0.37/0.56 (step @p46 :rule quant-miniscope-and :args ((= @t64 @t63))) % 0.37/0.56 (step @p47 :rule trans :premises (@p46 @p45)) % 0.37/0.56 (step @p48 :rule refl :args (@t52)) % 0.37/0.56 (step @p49 :rule refl :args (@t54)) % 0.37/0.56 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47) :args (@t65)) % 0.37/0.56 (step @p51 :rule quant-miniscope-or :args ((= @t60 @t65))) % 0.37/0.56 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.56 (step @p53 :rule symm :premises (@p52)) % 0.37/0.56 (step @p54 :rule cong :premises (@p53) :args ((forall @t15 (or @t54 @t52 (and @t7 @t66))))) % 0.37/0.56 (step @p55 :rule trans :premises (@p54 @p42)) % 0.37/0.56 (step @p56 :rule bool-double-not-elim :args (@t66)) % 0.37/0.56 (step @p57 :rule refl :args (@t7)) % 0.37/0.56 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((and @t7 (not @t67)))) % 0.37/0.56 (step @p59 :rule bool-implies-de-morgan :args (@t7 @t67)) % 0.37/0.56 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.56 (step @p61 :rule bool-implies-de-morgan :args (@t12 @t7)) % 0.37/0.56 (step @p62 :rule nary_cong :premises (@p61 @p48 @p60) :args (@t71)) % 0.37/0.56 (step @p63 :rule aci_norm :args ((= (or @t70 (or @t52 @t69)) @t71))) % 0.37/0.56 (step @p64 :rule bool-and-de-morgan :args (@t10 @t68 true)) % 0.37/0.56 (step @p65 :rule refl :args (@t70)) % 0.37/0.56 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t70 (not (and @t10 @t68))))) % 0.37/0.56 (step @p67 :rule bool-and-de-morgan :args (@t13 @t10 (and @t68))) % 0.37/0.56 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.56 (step @p69 :rule trans :premises (@p68 @p63)) % 0.37/0.56 (step @p70 :rule trans :premises (@p69 @p62)) % 0.37/0.56 (step @p71 :rule cong :premises (@p70) :args (@t73)) % 0.37/0.56 (step @p72 :rule trans :premises (@p71 @p55)) % 0.37/0.56 (step @p73 :rule cong :premises (@p72) :args (@t74)) % 0.37/0.56 (step @p74 :rule exists-elim :args ((= (exists @t15 @t72) @t74))) % 0.37/0.56 (step @p75 :rule trans :premises (@p74 @p73)) % 0.37/0.56 (step @p76 :rule exists-elim :args ((= @t5 @t67))) % 0.37/0.56 (step @p77 :rule refl :args (@t7)) % 0.37/0.56 (step @p78 :rule cong :premises (@p77 @p76) :args (@t8)) % 0.37/0.56 (step @p79 :rule refl :args (@t10)) % 0.37/0.56 (step @p80 :rule refl :args (@t13)) % 0.37/0.56 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t14)) % 0.37/0.56 (step @p82 :rule cong :premises (@p81) :args (@t16)) % 0.37/0.56 (step @p83 :rule trans :premises (@p82 @p75)) % 0.37/0.56 (step @p84 :rule cong :premises (@p83) :args (@t18)) % 0.37/0.56 (step @p85 :rule cong :premises (@p84) :args (@t20)) % 0.37/0.56 (step @p86 :rule trans :premises (@p85 @p41)) % 0.37/0.56 (step @p87 :rule cong :premises (@p86) :args (@t22)) % 0.37/0.56 (step @p88 :rule eq_resolve :premises (@p1 @p87)) % 0.37/0.56 (step @p89 :rule instantiate :premises (@p88) :args ((@list @t75))) % 0.37/0.56 (step @p90 :rule refl :args (@t83)) % 0.37/0.56 (step @p91 :rule bool-double-not-elim :args (@t78)) % 0.37/0.56 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t84) @t83))) % 0.37/0.56 (step @p93 :rule bool-double-not-elim :args (@t83)) % 0.37/0.56 (step @p94 :rule refl :args (@t84)) % 0.37/0.56 (step @p95 :rule cong :premises (@p94 @p93) :args ((=> @t84 @t85))) % 0.37/0.56 (assume-push @p172 @t84) % 0.37/0.56 (step @p97 :rule skolemize :premises (@p89)) % 0.37/0.56 (step-pop @p173 :rule scope :premises (@p97)) % 0.37/0.56 (step @p98 :rule process_scope :premises (@p173) :args (@t85)) % 0.37/0.56 (step @p100 :rule eq_resolve :premises (@p98 @p95)) % 0.37/0.56 (step @p101 :rule implies_elim :premises (@p100)) % 0.37/0.56 (step @p102 :rule eq_resolve :premises (@p101 @p92)) % 0.37/0.56 (step @p103 :rule chain_m_resolution :premises (@p102 @p89) :args (@t83 @t44 (@list @t78))) % 0.37/0.56 (step @p104 :rule instantiate :premises (@p103) :args (@t45)) % 0.37/0.56 (step @p105 :rule skolemize :premises (@p104)) % 0.37/0.56 (step @p106 :rule cnf_or_neg :args (@t96 2)) % 0.37/0.56 (step @p107 :rule chain_m_resolution :premises (@p106 @p105) :args ((not @t93) @t44 @t97)) % 0.37/0.56 (step @p108 :rule refl :args (@t98)) % 0.37/0.56 (step @p109 :rule bool-double-not-elim :args (@t12)) % 0.37/0.56 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or (not @t25) @t98))) % 0.37/0.56 (step @p111 :rule bool-impl-elim :args (@t25 @t98)) % 0.37/0.56 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.56 (step @p113 :rule cong :premises (@p112) :args ((forall @t27 (=> @t25 @t98)))) % 0.37/0.56 (step @p114 :rule exists-elim :args ((= @t24 @t98))) % 0.37/0.56 (step @p115 :rule refl :args (@t25)) % 0.37/0.56 (step @p116 :rule cong :premises (@p115 @p114) :args (@t26)) % 0.37/0.56 (step @p117 :rule cong :premises (@p116) :args (@t28)) % 0.37/0.56 (step @p118 :rule trans :premises (@p117 @p113)) % 0.37/0.56 (step @p119 :rule eq_resolve :premises (@p2 @p118)) % 0.37/0.56 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t40 @t75))) % 0.37/0.56 (assume-push @p174 @t47) % 0.37/0.56 (step @p122 :rule instantiate :premises (@p174) :args ((@list @t100 @t75))) % 0.37/0.56 (step-pop @p175 :rule scope :premises (@p122)) % 0.37/0.56 (step @p123 :rule process_scope :premises (@p175) :args (@t102)) % 0.37/0.56 (step @p125 :rule implies_elim :premises (@p123)) % 0.37/0.56 (step @p126 :rule chain_m_resolution :premises (@p125 @p40) :args (@t102 (@list false) (@list @t47))) % 0.37/0.56 (step @p127 :rule refl :args (@t101)) % 0.37/0.56 (step @p128 :rule bool-double-not-elim :args (@t99)) % 0.37/0.56 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or (not @t103) @t101))) % 0.37/0.56 (step @p130 :rule bool-double-not-elim :args (@t101)) % 0.37/0.56 (step @p131 :rule refl :args (@t103)) % 0.37/0.56 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t103 @t104))) % 0.37/0.56 (assume-push @p176 @t103) % 0.37/0.56 (step @p134 :rule skolemize :premises (@p176)) % 0.37/0.56 (step-pop @p177 :rule scope :premises (@p134)) % 0.37/0.56 (step @p135 :rule process_scope :premises (@p177) :args (@t104)) % 0.37/0.56 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.37/0.56 (step @p138 :rule implies_elim :premises (@p137)) % 0.37/0.56 (step @p139 :rule eq_resolve :premises (@p138 @p129)) % 0.37/0.56 (step @p140 :rule chain_m_resolution :premises (@p139 @p126) :args (@t99 @t44 (@list @t101))) % 0.37/0.56 (step @p141 :rule cnf_or_pos :args (@t105)) % 0.37/0.56 (step @p142 :rule reordering :premises (@p141) :args ((or @t103 @t86 (not @t105)))) % 0.37/0.56 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p120) :args (@t86 @t106 (@list @t99 @t105))) % 0.37/0.56 (step @p144 :rule cnf_or_neg :args (@t96 0)) % 0.37/0.56 (step @p145 :rule chain_m_resolution :premises (@p144 @p105) :args ((not @t95) @t44 @t97)) % 0.37/0.56 (step @p146 :rule bool-double-not-elim :args (@t92)) % 0.37/0.56 (step @p147 :rule refl :args (@t107)) % 0.37/0.56 (step @p148 :rule refl :args (@t95)) % 0.37/0.56 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146) :args ((or @t95 @t107 (not @t94)))) % 0.37/0.56 (step @p150 :rule cnf_and_neg :args (@t95)) % 0.37/0.56 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.37/0.56 (step @p152 :rule reordering :premises (@p151) :args ((or @t92 @t95 @t107))) % 0.37/0.56 (step @p153 :rule chain_m_resolution :premises (@p152 @p145 @p143) :args (@t92 (@list true false) (@list @t95 @t86))) % 0.37/0.56 (step @p154 :rule bool-double-not-elim :args (@t89)) % 0.37/0.56 (step @p155 :rule refl :args (@t94)) % 0.37/0.56 (step @p156 :rule refl :args (@t93)) % 0.37/0.56 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154) :args ((or @t93 @t94 (not @t90)))) % 0.37/0.56 (step @p158 :rule cnf_and_neg :args (@t93)) % 0.37/0.56 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.37/0.56 (step @p160 :rule reordering :premises (@p159) :args ((or @t94 @t89 @t93))) % 0.37/0.56 (step @p161 :rule chain_m_resolution :premises (@p160 @p153 @p107) :args (@t89 (@list false true) (@list @t92 @t93))) % 0.37/0.56 (assume-push @p178 @t47) % 0.37/0.56 (step @p163 :rule instantiate :premises (@p178) :args ((@list @t88 @t79))) % 0.37/0.56 (step-pop @p179 :rule scope :premises (@p163)) % 0.37/0.56 (step @p164 :rule process_scope :premises (@p179) :args (@t90)) % 0.37/0.56 (step @p166 :rule implies_elim :premises (@p164)) % 0.37/0.56 (step @p167 false :rule chain_m_resolution :premises (@p166 @p161 @p40) :args (false @t106 (@list @t89 @t47))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------