%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM636^3 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:40:06 AM UTC 2026 % Result : Theorem 0.51s 0.72s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM636^3 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 11:39:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.51/0.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.72 % SZS status Theorem % 0.51/0.72 % SZS output start Proof % 0.51/0.72 ( % 0.51/0.72 (declare-sort $$unsorted 0) % 0.51/0.72 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.51/0.72 (declare-const tptp.one $$unsorted) % 0.51/0.72 (define tptp.m () (let ((_let_1 (@var "E" $$unsorted))) (lambda (@list _let_1) (not (= (_ tptp.succ _let_1) _let_1))))) % 0.51/0.72 (define @t1 () (@var "X" $$unsorted)) % 0.51/0.72 (define @t2 () (_ tptp.succ @t1)) % 0.51/0.72 (define @t3 () (not (= @t2 tptp.one))) % 0.51/0.72 (define @t4 () (@list @t1)) % 0.51/0.72 (define @t5 () (forall @t4 @t3)) % 0.51/0.72 (define @t6 () (@var "Y" $$unsorted)) % 0.51/0.72 (define @t7 () (= @t1 @t6)) % 0.51/0.72 (define @t8 () (_ tptp.succ @t6)) % 0.51/0.72 (define @t9 () (= @t2 @t8)) % 0.51/0.72 (define @t10 () (@list @t1 @t6)) % 0.51/0.72 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.51/0.72 (define @t12 () (@var "M" (-> $$unsorted Bool))) % 0.51/0.72 (define @t13 () (_ @t12 @t6)) % 0.51/0.72 (define @t14 () (@list @t6)) % 0.51/0.72 (define @t15 () (forall @t14 @t13)) % 0.51/0.72 (define @t16 () (_ @t12 @t2)) % 0.51/0.72 (define @t17 () (_ @t12 @t1)) % 0.51/0.72 (define @t18 () (forall @t4 (=> @t17 @t16))) % 0.51/0.72 (define @t19 () (_ @t12 tptp.one)) % 0.51/0.72 (define @t20 () (and @t19 @t18)) % 0.51/0.72 (define @t21 () (=> @t20 @t15)) % 0.51/0.72 (define @t22 () (@list @t12)) % 0.51/0.72 (define @t23 () (forall @t22 @t21)) % 0.51/0.72 (define @t24 () (_ tptp.m @t1)) % 0.51/0.72 (define @t25 () (forall @t4 @t24)) % 0.51/0.72 (define @t26 () (not @t25)) % 0.51/0.72 (define @t27 () (@var "E" $$unsorted)) % 0.51/0.72 (define @t28 () (_ tptp.succ @t27)) % 0.51/0.72 (define @t29 () (not (= @t28 @t27))) % 0.51/0.72 (define @t30 () (@list @t27)) % 0.51/0.72 (define @t31 () (lambda @t30 @t29)) % 0.51/0.72 (define @t32 () (tptp.succ @t6)) % 0.51/0.72 (define @t33 () (tptp.succ @t1)) % 0.51/0.72 (define @t34 () (not @t9)) % 0.51/0.72 (define @t35 () (or @t34 @t7)) % 0.51/0.72 (define @t36 () (@var "BOUND_VARIABLE_7502" $$unsorted)) % 0.51/0.72 (define @t37 () (_ @t12 @t36)) % 0.51/0.72 (define @t38 () (_ @t12 @t33)) % 0.51/0.72 (define @t39 () (_ @t12 @t1)) % 0.51/0.72 (define @t40 () (forall @t4 (or (not @t39) @t38))) % 0.51/0.72 (define @t41 () (not @t40)) % 0.51/0.72 (define @t42 () (_ @t12 tptp.one)) % 0.51/0.72 (define @t43 () (not @t42)) % 0.51/0.72 (define @t44 () (or @t43 @t41 @t37)) % 0.51/0.72 (define @t45 () (forall (@list @t12 @t36) @t44)) % 0.51/0.72 (define @t46 () (@list @t36)) % 0.51/0.72 (define @t47 () (forall @t46 @t44)) % 0.51/0.72 (define @t48 () (forall @t46 @t37)) % 0.51/0.72 (define @t49 () (or @t43 @t41 @t48)) % 0.51/0.72 (define @t50 () (_ @t12 @t6)) % 0.51/0.72 (define @t51 () (forall @t14 @t50)) % 0.51/0.72 (define @t52 () (not @t19)) % 0.51/0.72 (define @t53 () (or @t52 @t41 @t51)) % 0.51/0.72 (define @t54 () (and @t19 @t40)) % 0.51/0.72 (define @t55 () (not @t17)) % 0.51/0.72 (define @t56 () (or @t55 @t16)) % 0.51/0.72 (define @t57 () (forall @t4 (not (= @t1 @t33)))) % 0.51/0.72 (define @t58 () (@quantifiers_skolemize @t57 0)) % 0.51/0.72 (define @t59 () (tptp.succ @t58)) % 0.51/0.72 (define @t60 () (= @t58 @t59)) % 0.51/0.72 (define @t61 () (not @t60)) % 0.51/0.72 (define @t62 () (@var "BOUND_VARIABLE_36391" $$unsorted)) % 0.51/0.72 (define @t63 () (lambda (@list @t62) (not (= @t58 @t62)))) % 0.51/0.72 (define @t64 () (_ @t63 @t59)) % 0.51/0.72 (define @t65 () (not (= @t58 @t33))) % 0.51/0.72 (define @t66 () (_ @t63 @t33)) % 0.51/0.72 (define @t67 () (= @t1 @t58)) % 0.51/0.72 (define @t68 () (not (= @t58 @t1))) % 0.51/0.72 (define @t69 () (_ @t63 @t1)) % 0.51/0.72 (define @t70 () (not @t69)) % 0.51/0.72 (define @t71 () (or @t70 @t66)) % 0.51/0.72 (define @t72 () (forall @t4 @t71)) % 0.51/0.72 (define @t73 () (not @t72)) % 0.51/0.72 (define @t74 () (= tptp.one @t58)) % 0.51/0.72 (define @t75 () (not (= @t58 tptp.one))) % 0.51/0.72 (define @t76 () (_ @t63 tptp.one)) % 0.51/0.72 (define @t77 () (not @t76)) % 0.51/0.72 (define @t78 () (or @t77 @t73 @t64)) % 0.51/0.72 (define @t79 () (forall @t4 (or @t67 (not (= @t33 @t58))))) % 0.51/0.72 (define @t80 () (not @t79)) % 0.51/0.72 (define @t81 () (or @t74 @t80 @t61)) % 0.51/0.72 (define @t82 () (= tptp.one @t2)) % 0.51/0.72 (define @t83 () (not @t82)) % 0.51/0.72 (define @t84 () (= @t1 @t2)) % 0.51/0.72 (define @t85 () (not @t84)) % 0.51/0.72 (define @t86 () (_ (lambda @t30 (not (= @t27 @t28))) @t1)) % 0.51/0.72 (define @t87 () (forall @t4 @t86)) % 0.51/0.72 (define @t88 () (not @t57)) % 0.51/0.72 (define @t89 () (not @t61)) % 0.51/0.72 (define @t90 () (@list true)) % 0.51/0.72 (define @t91 () (@quantifiers_skolemize @t79 0)) % 0.51/0.72 (define @t92 () (tptp.succ @t91)) % 0.51/0.72 (define @t93 () (= @t58 @t92)) % 0.51/0.72 (define @t94 () (not @t93)) % 0.51/0.72 (define @t95 () (= @t58 @t91)) % 0.51/0.72 (define @t96 () (or @t95 @t94)) % 0.51/0.72 (define @t97 () (not @t96)) % 0.51/0.72 (define @t98 () (not (= @t92 @t58))) % 0.51/0.72 (define @t99 () (or (= @t91 @t58) @t98)) % 0.51/0.72 (define @t100 () (not @t99)) % 0.51/0.72 (define @t101 () (@list @t96)) % 0.51/0.72 (define @t102 () (= @t59 @t92)) % 0.51/0.72 (define @t103 () (not @t102)) % 0.51/0.72 (define @t104 () (or @t103 @t95)) % 0.51/0.72 (define @t105 () (not @t104)) % 0.51/0.72 (define @t106 () (@list true false)) % 0.51/0.72 (define @t107 () (forall @t10 (or (not (= @t33 @t32)) @t7))) % 0.51/0.72 (assume @p1 @t5) % 0.51/0.72 (assume @p2 @t11) % 0.51/0.72 (assume @p3 @t23) % 0.51/0.72 (assume @p4 (_ tptp.m tptp.one)) % 0.51/0.72 (assume @p5 (forall @t4 (=> @t24 (_ tptp.m @t2)))) % 0.51/0.72 (assume @p6 @t26) % 0.51/0.72 (assume @p7 true) % 0.51/0.72 (step @p8 (= tptp.m @t31) :rule refl :args (@t31)) % 0.51/0.72 (step @p9 :rule refl :args (@t7)) % 0.51/0.72 (step @p10 :rule refl :args (@t32)) % 0.51/0.72 (step @p11 :rule refl :args (@t8)) % 0.51/0.72 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t8 @t32))) % 0.51/0.72 (step @p13 :rule symm :premises (@p12)) % 0.51/0.72 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.51/0.72 (step @p15 :rule refl :args (@t33)) % 0.51/0.72 (step @p16 :rule refl :args (@t2)) % 0.51/0.72 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t2 @t33))) % 0.51/0.72 (step @p18 :rule symm :premises (@p17)) % 0.51/0.72 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.51/0.72 (step @p20 :rule cong :premises (@p19 @p14) :args (@t9)) % 0.51/0.72 (step @p21 :rule cong :premises (@p20) :args (@t34)) % 0.51/0.72 (step @p22 :rule nary_cong :premises (@p21 @p9) :args (@t35)) % 0.51/0.72 (step @p23 :rule cong :premises (@p22) :args ((forall @t10 @t35))) % 0.51/0.72 (step @p24 :rule bool-impl-elim :args (@t9 @t7)) % 0.51/0.72 (step @p25 :rule cong :premises (@p24) :args (@t11)) % 0.51/0.72 (step @p26 :rule trans :premises (@p25 @p23)) % 0.51/0.72 (step @p27 :rule eq_resolve :premises (@p2 @p26)) % 0.51/0.72 (step @p28 :rule quant-merge-prenex :args ((= (forall @t22 @t47) @t45))) % 0.51/0.72 (step @p29 :rule alpha_equiv :args (@t48 (@list @t36) (@list @t6))) % 0.51/0.72 (step @p30 :rule refl :args (@t41)) % 0.51/0.72 (step @p31 :rule refl :args (@t43)) % 0.51/0.72 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args (@t49)) % 0.51/0.72 (step @p33 :rule quant-miniscope-or :args ((= @t47 @t49))) % 0.51/0.72 (step @p34 :rule trans :premises (@p33 @p32)) % 0.51/0.72 (step @p35 :rule symm :premises (@p34)) % 0.51/0.72 (step @p36 :rule cong :premises (@p35) :args ((forall @t22 (or @t43 @t41 @t51)))) % 0.51/0.72 (step @p37 :rule trans :premises (@p36 @p28)) % 0.51/0.72 (step @p38 :rule refl :args (@t51)) % 0.51/0.72 (step @p39 :rule refl :args (@t42)) % 0.51/0.72 (step @p40 :rule refl :args (@t19)) % 0.51/0.72 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t19 @t42))) % 0.51/0.72 (step @p42 :rule symm :premises (@p41)) % 0.51/0.72 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.51/0.72 (step @p44 :rule cong :premises (@p43) :args (@t52)) % 0.51/0.72 (step @p45 :rule nary_cong :premises (@p44 @p30 @p38) :args (@t53)) % 0.51/0.72 (step @p46 :rule cong :premises (@p45) :args ((forall @t22 @t53))) % 0.51/0.72 (step @p47 :rule trans :premises (@p46 @p37)) % 0.51/0.72 (step @p48 :rule aci_norm :args ((= (or (or @t52 @t41) @t51) @t53))) % 0.51/0.72 (step @p49 :rule bool-and-de-morgan :args (@t19 @t40 true)) % 0.51/0.72 (step @p50 :rule nary_cong :premises (@p49 @p38) :args ((or (not @t54) @t51))) % 0.51/0.72 (step @p51 :rule trans :premises (@p50 @p48)) % 0.51/0.72 (step @p52 :rule bool-impl-elim :args (@t54 @t51)) % 0.51/0.72 (step @p53 :rule trans :premises (@p52 @p51)) % 0.51/0.72 (step @p54 :rule cong :premises (@p53) :args ((forall @t22 (=> @t54 @t51)))) % 0.51/0.72 (step @p55 :rule trans :premises (@p54 @p47)) % 0.51/0.72 (step @p56 :rule refl :args (@t50)) % 0.51/0.72 (step @p57 :rule refl :args (@t13)) % 0.51/0.72 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t13 @t50))) % 0.51/0.72 (step @p59 :rule symm :premises (@p58)) % 0.51/0.72 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.51/0.72 (step @p61 :rule cong :premises (@p60) :args (@t15)) % 0.51/0.72 (step @p62 :rule refl :args ((_ @t12 @t2))) % 0.51/0.72 (step @p63 :rule cong :premises (@p15) :args (@t38)) % 0.51/0.72 (step @p64 :rule trans :premises (@p63 @p62)) % 0.51/0.72 (step @p65 :rule refl :args (@t12)) % 0.51/0.72 (step @p66 :rule ho_cong :premises (@p65 @p15)) % 0.51/0.72 (step @p67 :rule cong :premises (@p66 @p64) :args ((= (_ @t12 @t33) @t38))) % 0.51/0.72 (step @p68 :rule symm :premises (@p67)) % 0.51/0.72 (step @p69 :rule refl :args (@t16)) % 0.51/0.72 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.51/0.72 (step @p71 :rule ho_cong :premises (@p65 @p19)) % 0.51/0.72 (step @p72 :rule trans :premises (@p71 @p70)) % 0.51/0.72 (step @p73 :rule refl :args (@t39)) % 0.51/0.72 (step @p74 :rule refl :args (@t17)) % 0.51/0.72 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t17 @t39))) % 0.51/0.72 (step @p76 :rule symm :premises (@p75)) % 0.51/0.72 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.51/0.72 (step @p78 :rule cong :premises (@p77) :args (@t55)) % 0.51/0.72 (step @p79 :rule nary_cong :premises (@p78 @p72) :args (@t56)) % 0.51/0.72 (step @p80 :rule cong :premises (@p79) :args ((forall @t4 @t56))) % 0.51/0.72 (step @p81 :rule bool-impl-elim :args (@t17 @t16)) % 0.51/0.72 (step @p82 :rule cong :premises (@p81) :args (@t18)) % 0.51/0.72 (step @p83 :rule trans :premises (@p82 @p80)) % 0.51/0.72 (step @p84 :rule refl :args (@t19)) % 0.51/0.72 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t20)) % 0.51/0.72 (step @p86 :rule cong :premises (@p85 @p61) :args (@t21)) % 0.51/0.72 (step @p87 :rule cong :premises (@p86) :args (@t23)) % 0.51/0.72 (step @p88 :rule trans :premises (@p87 @p55)) % 0.51/0.72 (step @p89 :rule eq_resolve :premises (@p3 @p88)) % 0.51/0.72 (step @p90 :rule beta-reduce :args ((= @t64 @t61))) % 0.51/0.72 (step @p91 :rule eq-symm :args (@t58 @t33)) % 0.51/0.72 (step @p92 :rule cong :premises (@p91) :args (@t65)) % 0.51/0.72 (step @p93 :rule beta-reduce :args ((= @t66 @t65))) % 0.51/0.72 (step @p94 :rule trans :premises (@p93 @p92)) % 0.51/0.72 (step @p95 :rule bool-double-not-elim :args (@t67)) % 0.51/0.72 (step @p96 :rule eq-symm :args (@t58 @t1)) % 0.51/0.72 (step @p97 :rule cong :premises (@p96) :args (@t68)) % 0.51/0.72 (step @p98 :rule beta-reduce :args ((= @t69 @t68))) % 0.51/0.72 (step @p99 :rule trans :premises (@p98 @p97)) % 0.51/0.72 (step @p100 :rule cong :premises (@p99) :args (@t70)) % 0.51/0.72 (step @p101 :rule trans :premises (@p100 @p95)) % 0.51/0.72 (step @p102 :rule nary_cong :premises (@p101 @p94) :args (@t71)) % 0.51/0.72 (step @p103 :rule cong :premises (@p102) :args (@t72)) % 0.51/0.72 (step @p104 :rule cong :premises (@p103) :args (@t73)) % 0.51/0.72 (step @p105 :rule bool-double-not-elim :args (@t74)) % 0.51/0.72 (step @p106 :rule eq-symm :args (@t58 tptp.one)) % 0.51/0.72 (step @p107 :rule cong :premises (@p106) :args (@t75)) % 0.51/0.72 (step @p108 :rule beta-reduce :args ((= @t76 @t75))) % 0.51/0.72 (step @p109 :rule trans :premises (@p108 @p107)) % 0.51/0.72 (step @p110 :rule cong :premises (@p109) :args (@t77)) % 0.51/0.72 (step @p111 :rule trans :premises (@p110 @p105)) % 0.51/0.72 (step @p112 :rule nary_cong :premises (@p111 @p104 @p90) :args (@t78)) % 0.51/0.72 (step @p113 :rule refl :args (@t45)) % 0.51/0.72 (step @p114 :rule cong :premises (@p113 @p112) :args ((=> @t45 @t78))) % 0.51/0.72 (assume-push @p210 @t45) % 0.51/0.72 (step @p116 :rule instantiate :premises (@p89) :args ((@list @t63 @t59))) % 0.51/0.72 (step-pop @p211 :rule scope :premises (@p116)) % 0.51/0.72 (step @p117 :rule process_scope :premises (@p211) :args (@t78)) % 0.51/0.72 (step @p119 :rule eq_resolve :premises (@p117 @p114)) % 0.51/0.72 (step @p120 :rule implies_elim :premises (@p119)) % 0.51/0.72 (step @p121 :rule chain_m_resolution :premises (@p120 @p89) :args (@t81 (@list false) (@list @t45))) % 0.51/0.72 (step @p122 :rule refl :args (tptp.one)) % 0.51/0.72 (step @p123 :rule cong :premises (@p122 @p19) :args (@t82)) % 0.51/0.72 (step @p124 :rule cong :premises (@p123) :args (@t83)) % 0.51/0.72 (step @p125 :rule cong :premises (@p124) :args ((forall @t4 @t83))) % 0.51/0.72 (step @p126 :rule eq-symm :args (@t2 tptp.one)) % 0.51/0.72 (step @p127 :rule cong :premises (@p126) :args (@t3)) % 0.51/0.72 (step @p128 :rule cong :premises (@p127) :args (@t5)) % 0.51/0.72 (step @p129 :rule trans :premises (@p128 @p125)) % 0.51/0.72 (step @p130 :rule eq_resolve :premises (@p1 @p129)) % 0.51/0.72 (step @p131 :rule instantiate :premises (@p130) :args ((@list @t58))) % 0.51/0.72 (step @p132 :rule false_intro :premises (@p131)) % 0.51/0.72 (step @p133 :rule refl :args (@t1)) % 0.51/0.72 (step @p134 :rule cong :premises (@p133 @p19) :args (@t84)) % 0.51/0.72 (step @p135 :rule cong :premises (@p134) :args (@t85)) % 0.51/0.72 (step @p136 :rule cong :premises (@p135) :args ((forall @t4 @t85))) % 0.51/0.72 (step @p137 :rule beta-reduce :args ((= @t86 @t85))) % 0.51/0.72 (step @p138 :rule cong :premises (@p137) :args (@t87)) % 0.51/0.72 (step @p139 :rule trans :premises (@p138 @p136)) % 0.51/0.72 (step @p140 :rule cong :premises (@p139) :args ((not @t87))) % 0.51/0.72 (step @p141 :rule refl :args (@t1)) % 0.51/0.72 (step @p142 :rule eq-symm :args (@t28 @t27)) % 0.51/0.72 (step @p143 :rule cong :premises (@p142) :args (@t29)) % 0.51/0.72 (step @p144 :rule cong :premises (@p143) :args (@t31)) % 0.51/0.72 (step @p145 :rule trans :premises (@p8 @p144)) % 0.51/0.72 (step @p146 :rule ho_cong :premises (@p145 @p141)) % 0.51/0.72 (step @p147 :rule cong :premises (@p146) :args (@t25)) % 0.51/0.72 (step @p148 :rule cong :premises (@p147) :args (@t26)) % 0.51/0.72 (step @p149 :rule trans :premises (@p148 @p140)) % 0.51/0.72 (step @p150 :rule eq_resolve :premises (@p6 @p149)) % 0.51/0.72 (step @p151 :rule refl :args (@t60)) % 0.51/0.72 (step @p152 :rule bool-double-not-elim :args (@t57)) % 0.51/0.72 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or (not @t88) @t60))) % 0.51/0.72 (step @p154 :rule bool-double-not-elim :args (@t60)) % 0.51/0.72 (step @p155 :rule refl :args (@t88)) % 0.51/0.72 (step @p156 :rule cong :premises (@p155 @p154) :args ((=> @t88 @t89))) % 0.51/0.72 (assume-push @p212 @t88) % 0.51/0.72 (step @p158 :rule skolemize :premises (@p150)) % 0.51/0.72 (step-pop @p213 :rule scope :premises (@p158)) % 0.51/0.72 (step @p159 :rule process_scope :premises (@p213) :args (@t89)) % 0.51/0.73 (step @p161 :rule eq_resolve :premises (@p159 @p156)) % 0.51/0.73 (step @p162 :rule implies_elim :premises (@p161)) % 0.51/0.73 (step @p163 :rule eq_resolve :premises (@p162 @p153)) % 0.51/0.73 (step @p164 :rule chain_m_resolution :premises (@p163 @p150) :args (@t60 @t90 (@list @t57))) % 0.51/0.73 (step @p165 :rule refl :args (tptp.one)) % 0.51/0.73 (step @p166 :rule cong :premises (@p165 @p164) :args (@t74)) % 0.51/0.73 (step @p167 :rule trans :premises (@p166 @p132)) % 0.51/0.73 (step @p168 :rule false_elim :premises (@p167)) % 0.51/0.73 (step @p169 :rule cnf_or_pos :args (@t81)) % 0.51/0.73 (step @p170 :rule reordering :premises (@p169) :args ((or @t61 @t74 @t80 (not @t81)))) % 0.51/0.73 (step @p171 :rule chain_m_resolution :premises (@p170 @p164 @p168 @p121) :args (@t80 (@list false true false) (@list @t60 @t74 @t81))) % 0.51/0.73 (step @p172 :rule refl :args (@t97)) % 0.51/0.73 (step @p173 :rule bool-double-not-elim :args (@t79)) % 0.51/0.73 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or (not @t80) @t97))) % 0.51/0.73 (step @p175 :rule eq-symm :args (@t92 @t58)) % 0.51/0.73 (step @p176 :rule cong :premises (@p175) :args (@t98)) % 0.51/0.73 (step @p177 :rule eq-symm :args (@t91 @t58)) % 0.51/0.73 (step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t99)) % 0.51/0.73 (step @p179 :rule cong :premises (@p178) :args (@t100)) % 0.51/0.73 (step @p180 :rule refl :args (@t80)) % 0.51/0.73 (step @p181 :rule cong :premises (@p180 @p179) :args ((=> @t80 @t100))) % 0.51/0.73 (assume-push @p214 @t80) % 0.51/0.73 (step @p183 :rule skolemize :premises (@p171)) % 0.51/0.73 (step-pop @p215 :rule scope :premises (@p183)) % 0.51/0.73 (step @p184 :rule process_scope :premises (@p215) :args (@t100)) % 0.51/0.73 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 0.51/0.73 (step @p187 :rule implies_elim :premises (@p186)) % 0.51/0.73 (step @p188 :rule eq_resolve :premises (@p187 @p174)) % 0.51/0.73 (step @p189 :rule chain_m_resolution :premises (@p188 @p171) :args (@t97 @t90 (@list @t79))) % 0.51/0.73 (step @p190 :rule bool-double-not-elim :args (@t93)) % 0.51/0.73 (step @p191 :rule refl :args (@t96)) % 0.51/0.73 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t96 (not @t94)))) % 0.51/0.73 (step @p193 :rule cnf_or_neg :args (@t96 1)) % 0.51/0.73 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.51/0.73 (step @p195 :rule reordering :premises (@p194) :args ((or @t93 @t96))) % 0.51/0.73 (step @p196 :rule chain_m_resolution :premises (@p195 @p189) :args (@t93 @t90 @t101)) % 0.51/0.73 (step @p197 :rule symm :premises (@p164)) % 0.51/0.73 (step @p198 :rule trans :premises (@p197 @p196)) % 0.51/0.73 (step @p199 :rule cnf_or_neg :args (@t96 0)) % 0.51/0.73 (step @p200 :rule chain_m_resolution :premises (@p199 @p189) :args ((not @t95) @t90 @t101)) % 0.51/0.73 (step @p201 :rule cnf_or_pos :args (@t104)) % 0.51/0.73 (step @p202 :rule reordering :premises (@p201) :args ((or @t95 @t103 @t105))) % 0.51/0.73 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p198) :args (@t105 @t106 (@list @t95 @t102))) % 0.51/0.73 (assume-push @p216 @t107) % 0.51/0.73 (step @p205 :rule instantiate :premises (@p27) :args ((@list @t58 @t91))) % 0.51/0.73 (step-pop @p217 :rule scope :premises (@p205)) % 0.51/0.73 (step @p206 :rule process_scope :premises (@p217) :args (@t104)) % 0.51/0.73 (step @p208 :rule implies_elim :premises (@p206)) % 0.51/0.73 (step @p209 false :rule chain_m_resolution :premises (@p208 @p203 @p27) :args (false @t106 (@list @t104 @t107))) % 0.51/0.73 ) % 0.51/0.73 % SZS output end Proof % 0.51/0.73 % cvc5 exiting %------------------------------------------------------------------------------