%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE004+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:28:02 AM UTC 2026 % Result : Theorem 0.37s 0.60s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE004+1 : TPTP v9.2.1. Released v4.0.0. % 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 : n014.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 05:09:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.60 % SZS status Theorem % 0.37/0.60 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.test (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.zero $$unsorted) % 0.37/0.60 (declare-const tptp.one $$unsorted) % 0.37/0.60 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.60 (define @t3 () (tptp.addition @t1 @t2)) % 0.37/0.60 (define @t4 () (@list @t1 @t2)) % 0.37/0.60 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.60 (define @t6 () (tptp.addition @t2 @t5)) % 0.37/0.60 (define @t7 () (tptp.addition @t1 tptp.zero)) % 0.37/0.60 (define @t8 () (@list @t1)) % 0.37/0.60 (define @t9 () (forall @t8 (= @t7 @t1))) % 0.37/0.60 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.37/0.60 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.37/0.60 (define @t12 () (@list @t1 @t2 @t5)) % 0.37/0.60 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 0.37/0.60 (define @t14 () (forall @t8 (= @t13 @t1))) % 0.37/0.60 (define @t15 () (tptp.multiplication tptp.one @t1)) % 0.37/0.60 (define @t16 () (forall @t8 (= @t15 @t1))) % 0.37/0.60 (define @t17 () (tptp.multiplication @t1 @t5)) % 0.37/0.60 (define @t18 () (@var "X0" $$unsorted)) % 0.37/0.60 (define @t19 () (@var "X1" $$unsorted)) % 0.37/0.60 (define @t20 () (tptp.complement @t19 @t18)) % 0.37/0.60 (define @t21 () (@list @t19)) % 0.37/0.60 (define @t22 () (exists @t21 @t20)) % 0.37/0.60 (define @t23 () (tptp.test @t18)) % 0.37/0.60 (define @t24 () (= @t23 @t22)) % 0.37/0.60 (define @t25 () (@list @t18)) % 0.37/0.60 (define @t26 () (forall @t25 @t24)) % 0.37/0.60 (define @t27 () (tptp.addition @t18 @t19)) % 0.37/0.60 (define @t28 () (tptp.multiplication @t19 @t18)) % 0.37/0.60 (define @t29 () (tptp.multiplication @t18 @t19)) % 0.37/0.60 (define @t30 () (and (= @t29 tptp.zero) (= @t28 tptp.zero) (= @t27 tptp.one))) % 0.37/0.60 (define @t31 () (= @t20 @t30)) % 0.37/0.60 (define @t32 () (@list @t18 @t19)) % 0.37/0.60 (define @t33 () (forall @t32 @t31)) % 0.37/0.60 (define @t34 () (tptp.complement @t18 @t19)) % 0.37/0.60 (define @t35 () (tptp.c @t18)) % 0.37/0.60 (define @t36 () (= (= @t35 @t19) @t34)) % 0.37/0.60 (define @t37 () (=> @t23 @t36)) % 0.37/0.60 (define @t38 () (forall @t32 @t37)) % 0.37/0.60 (define @t39 () (not @t23)) % 0.37/0.60 (define @t40 () (tptp.c tptp.zero)) % 0.37/0.60 (define @t41 () (forall @t21 (not (tptp.complement @t19 tptp.zero)))) % 0.37/0.60 (define @t42 () (@quantifiers_skolemize @t41 0)) % 0.37/0.60 (define @t43 () (@list tptp.zero @t42)) % 0.37/0.60 (define @t44 () (@list tptp.zero tptp.one)) % 0.37/0.60 (define @t45 () (@list tptp.one)) % 0.37/0.60 (define @t46 () (@list tptp.zero)) % 0.37/0.60 (define @t47 () (= tptp.one (tptp.addition tptp.zero tptp.one))) % 0.37/0.60 (define @t48 () (= tptp.zero (tptp.multiplication tptp.one tptp.zero))) % 0.37/0.60 (define @t49 () (= tptp.zero (tptp.multiplication tptp.zero tptp.one))) % 0.37/0.60 (define @t50 () (and @t49 @t48 @t47)) % 0.37/0.60 (define @t51 () (tptp.complement tptp.one tptp.zero)) % 0.37/0.60 (define @t52 () (= @t51 @t50)) % 0.37/0.60 (define @t53 () (@list false false)) % 0.37/0.60 (define @t54 () (not @t41)) % 0.37/0.60 (define @t55 () (@list false)) % 0.37/0.60 (define @t56 () (tptp.complement @t42 tptp.zero)) % 0.37/0.60 (define @t57 () (not @t54)) % 0.37/0.60 (define @t58 () (not @t56)) % 0.37/0.60 (define @t59 () (not @t58)) % 0.37/0.60 (define @t60 () (tptp.addition tptp.zero @t42)) % 0.37/0.60 (define @t61 () (= tptp.one @t60)) % 0.37/0.60 (define @t62 () (= tptp.zero (tptp.multiplication @t42 tptp.zero))) % 0.37/0.60 (define @t63 () (= tptp.zero (tptp.multiplication tptp.zero @t42))) % 0.37/0.60 (define @t64 () (and @t63 @t62 @t61)) % 0.37/0.60 (define @t65 () (= @t56 @t64)) % 0.37/0.60 (define @t66 () (not @t64)) % 0.37/0.60 (define @t67 () (@list @t64)) % 0.37/0.60 (define @t68 () (= @t19 @t35)) % 0.37/0.60 (define @t69 () (= @t34 @t68)) % 0.37/0.60 (define @t70 () (tptp.complement tptp.zero @t42)) % 0.37/0.60 (define @t71 () (= @t70 (= @t42 @t40))) % 0.37/0.60 (define @t72 () (tptp.test tptp.zero)) % 0.37/0.60 (define @t73 () (not @t72)) % 0.37/0.60 (define @t74 () (or @t73 @t71)) % 0.37/0.60 (define @t75 () (forall @t32 (or @t39 @t69))) % 0.37/0.60 (define @t76 () (= @t40 @t42)) % 0.37/0.60 (define @t77 () (= @t70 @t76)) % 0.37/0.60 (define @t78 () (or @t73 @t77)) % 0.37/0.60 (define @t79 () (= @t72 @t54)) % 0.37/0.60 (define @t80 () (not @t79)) % 0.37/0.60 (define @t81 () (tptp.addition @t42 tptp.zero)) % 0.37/0.60 (define @t82 () (= tptp.one @t81)) % 0.37/0.60 (define @t83 () (and @t62 @t63 @t82)) % 0.37/0.60 (define @t84 () (= @t60 @t81)) % 0.37/0.60 (define @t85 () (and @t61 @t84)) % 0.37/0.60 (define @t86 () (not @t84)) % 0.37/0.60 (define @t87 () (not @t61)) % 0.37/0.60 (define @t88 () (= @t70 @t83)) % 0.37/0.60 (define @t89 () (not @t76)) % 0.37/0.60 (define @t90 () (= @t42 @t81)) % 0.37/0.60 (define @t91 () (not @t90)) % 0.37/0.60 (define @t92 () (= tptp.one @t40)) % 0.37/0.60 (define @t93 () (not @t92)) % 0.37/0.60 (define @t94 () (and @t84 @t61 @t90 @t76 @t93)) % 0.37/0.60 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.37/0.60 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.37/0.60 (assume @p3 @t9) % 0.37/0.60 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 0.37/0.60 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.37/0.60 (assume @p6 @t14) % 0.37/0.60 (assume @p7 @t16) % 0.37/0.60 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 0.37/0.60 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 0.37/0.60 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.37/0.60 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.37/0.60 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 0.37/0.60 (assume @p13 @t26) % 0.37/0.60 (assume @p14 @t33) % 0.37/0.60 (assume @p15 @t38) % 0.37/0.60 (assume @p16 (forall @t25 (=> @t39 (= @t35 tptp.zero)))) % 0.37/0.60 (assume @p17 (not (= @t40 tptp.one))) % 0.37/0.60 (assume @p18 true) % 0.37/0.60 (step @p19 :rule symm :premises (@p17)) % 0.37/0.60 (step @p20 :rule instantiate :premises (@p1) :args (@t43)) % 0.37/0.60 (step @p21 :rule eq-symm :args (@t7 @t1)) % 0.37/0.60 (step @p22 :rule cong :premises (@p21) :args (@t9)) % 0.37/0.60 (step @p23 :rule eq_resolve :premises (@p3 @p22)) % 0.37/0.60 (step @p24 :rule instantiate :premises (@p23) :args ((@list @t42))) % 0.37/0.60 (step @p25 :rule eq-symm :args (@t27 tptp.one)) % 0.37/0.60 (step @p26 :rule eq-symm :args (@t28 tptp.zero)) % 0.37/0.60 (step @p27 :rule eq-symm :args (@t29 tptp.zero)) % 0.37/0.60 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t30)) % 0.37/0.60 (step @p29 :rule refl :args (@t20)) % 0.37/0.60 (step @p30 :rule cong :premises (@p29 @p28) :args (@t31)) % 0.37/0.60 (step @p31 :rule cong :premises (@p30) :args (@t33)) % 0.37/0.60 (step @p32 :rule eq_resolve :premises (@p14 @p31)) % 0.37/0.60 (step @p33 :rule instantiate :premises (@p32) :args (@t43)) % 0.37/0.60 (step @p34 :rule instantiate :premises (@p32) :args (@t44)) % 0.37/0.60 (step @p35 :rule instantiate :premises (@p1) :args (@t44)) % 0.37/0.60 (step @p36 :rule symm :premises (@p35)) % 0.37/0.60 (step @p37 :rule instantiate :premises (@p23) :args (@t45)) % 0.37/0.60 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.60 (step @p39 :rule eq-symm :args (@t15 @t1)) % 0.37/0.60 (step @p40 :rule cong :premises (@p39) :args (@t16)) % 0.37/0.60 (step @p41 :rule eq_resolve :premises (@p7 @p40)) % 0.37/0.60 (step @p42 :rule instantiate :premises (@p41) :args (@t46)) % 0.37/0.60 (step @p43 :rule eq-symm :args (@t13 @t1)) % 0.37/0.60 (step @p44 :rule cong :premises (@p43) :args (@t14)) % 0.37/0.60 (step @p45 :rule eq_resolve :premises (@p6 @p44)) % 0.37/0.60 (step @p46 :rule instantiate :premises (@p45) :args (@t46)) % 0.37/0.60 (step @p47 :rule cnf_and_neg :args (@t50)) % 0.37/0.60 (step @p48 :rule reordering :premises (@p47) :args ((or (not @t49) (not @t48) @t50 (not @t47)))) % 0.37/0.60 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p42 @p38) :args (@t50 (@list false false false) (@list @t49 @t48 @t47))) % 0.37/0.60 (step @p50 :rule cnf_equiv_pos2 :args (@t52)) % 0.37/0.60 (step @p51 :rule reordering :premises (@p50) :args ((or @t51 (not @t50) (not @t52)))) % 0.37/0.60 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p34) :args (@t51 @t53 (@list @t50 @t52))) % 0.37/0.60 (assume-push @p195 @t41) % 0.37/0.60 (step @p54 :rule instantiate :premises (@p195) :args (@t45)) % 0.37/0.60 (step-pop @p196 :rule scope :premises (@p54)) % 0.37/0.60 (step @p55 :rule process_scope :premises (@p196) :args ((not @t51))) % 0.37/0.60 (step @p57 :rule implies_elim :premises (@p55)) % 0.37/0.60 (step @p58 :rule chain_m_resolution :premises (@p57 @p52) :args (@t54 @t55 (@list @t51))) % 0.37/0.60 (step @p59 :rule refl :args (@t56)) % 0.37/0.60 (step @p60 :rule bool-double-not-elim :args (@t41)) % 0.37/0.60 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t57 @t56))) % 0.37/0.60 (step @p62 :rule bool-double-not-elim :args (@t56)) % 0.37/0.60 (step @p63 :rule refl :args (@t54)) % 0.37/0.60 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t54 @t59))) % 0.37/0.60 (assume-push @p197 @t54) % 0.37/0.60 (step @p66 :rule skolemize :premises (@p197)) % 0.37/0.60 (step-pop @p198 :rule scope :premises (@p66)) % 0.37/0.60 (step @p67 :rule process_scope :premises (@p198) :args (@t59)) % 0.37/0.60 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.37/0.60 (step @p70 :rule implies_elim :premises (@p69)) % 0.37/0.60 (step @p71 :rule eq_resolve :premises (@p70 @p61)) % 0.37/0.60 (step @p72 :rule chain_m_resolution :premises (@p71 @p58) :args (@t56 (@list true) (@list @t41))) % 0.37/0.60 (step @p73 :rule cnf_equiv_pos1 :args (@t65)) % 0.37/0.60 (step @p74 :rule reordering :premises (@p73) :args ((or @t58 @t64 (not @t65)))) % 0.37/0.60 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p33) :args (@t64 @t53 (@list @t56 @t65))) % 0.37/0.60 (step @p76 :rule cnf_and_pos :args (@t64 2)) % 0.37/0.60 (step @p77 :rule reordering :premises (@p76) :args ((or @t61 @t66))) % 0.37/0.60 (step @p78 :rule chain_m_resolution :premises (@p77 @p75) :args (@t61 @t55 @t67)) % 0.37/0.60 (step @p79 :rule bool-impl-elim :args (@t23 @t69)) % 0.37/0.60 (step @p80 :rule cong :premises (@p79) :args ((forall @t32 (=> @t23 @t69)))) % 0.37/0.60 (step @p81 :rule eq-symm :args (@t68 @t34)) % 0.37/0.60 (step @p82 :rule refl :args (@t34)) % 0.37/0.60 (step @p83 :rule eq-symm :args (@t35 @t19)) % 0.37/0.60 (step @p84 :rule cong :premises (@p83 @p82) :args (@t36)) % 0.37/0.60 (step @p85 :rule trans :premises (@p84 @p81)) % 0.37/0.60 (step @p86 :rule refl :args (@t23)) % 0.37/0.60 (step @p87 :rule cong :premises (@p86 @p85) :args (@t37)) % 0.37/0.60 (step @p88 :rule cong :premises (@p87) :args (@t38)) % 0.37/0.60 (step @p89 :rule trans :premises (@p88 @p80)) % 0.37/0.60 (step @p90 :rule eq_resolve :premises (@p15 @p89)) % 0.37/0.60 (step @p91 :rule eq-symm :args (@t42 @t40)) % 0.37/0.60 (step @p92 :rule refl :args (@t70)) % 0.37/0.60 (step @p93 :rule cong :premises (@p92 @p91) :args (@t71)) % 0.37/0.60 (step @p94 :rule refl :args (@t73)) % 0.37/0.60 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t74)) % 0.37/0.60 (step @p96 :rule refl :args (@t75)) % 0.37/0.60 (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t75 @t74))) % 0.37/0.60 (assume-push @p199 @t75) % 0.37/0.60 (step @p99 :rule instantiate :premises (@p90) :args (@t43)) % 0.37/0.60 (step-pop @p200 :rule scope :premises (@p99)) % 0.37/0.60 (step @p100 :rule process_scope :premises (@p200) :args (@t74)) % 0.37/0.60 (step @p102 :rule eq_resolve :premises (@p100 @p97)) % 0.37/0.60 (step @p103 :rule implies_elim :premises (@p102)) % 0.37/0.60 (step @p104 :rule chain_m_resolution :premises (@p103 @p90) :args (@t78 @t55 (@list @t75))) % 0.37/0.60 (step @p105 :rule exists-elim :args ((= @t22 (not (forall @t21 (not @t20)))))) % 0.37/0.60 (step @p106 :rule cong :premises (@p86 @p105) :args (@t24)) % 0.37/0.60 (step @p107 :rule cong :premises (@p106) :args (@t26)) % 0.37/0.60 (step @p108 :rule eq_resolve :premises (@p13 @p107)) % 0.37/0.60 (step @p109 :rule instantiate :premises (@p108) :args (@t46)) % 0.37/0.60 (step @p110 :rule refl :args (@t72)) % 0.37/0.60 (step @p111 :rule refl :args (@t80)) % 0.37/0.60 (step @p112 :rule nary_cong :premises (@p111 @p110 @p60) :args ((or @t80 @t72 @t57))) % 0.37/0.60 (step @p113 :rule cnf_equiv_pos2 :args (@t79)) % 0.37/0.60 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 0.37/0.60 (step @p115 :rule reordering :premises (@p114) :args ((or @t72 @t41 @t80))) % 0.37/0.60 (step @p116 :rule chain_m_resolution :premises (@p115 @p58 @p109) :args (@t72 (@list true false) (@list @t41 @t79))) % 0.37/0.60 (step @p117 :rule cnf_or_pos :args (@t78)) % 0.37/0.60 (step @p118 :rule reordering :premises (@p117) :args ((or @t73 @t77 (not @t78)))) % 0.37/0.60 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p104) :args (@t77 @t53 (@list @t72 @t78))) % 0.37/0.60 (step @p120 :rule instantiate :premises (@p32) :args ((@list @t42 tptp.zero))) % 0.37/0.60 (step @p121 :rule cnf_and_pos :args (@t64 0)) % 0.37/0.60 (step @p122 :rule reordering :premises (@p121) :args ((or @t63 @t66))) % 0.37/0.60 (step @p123 :rule cnf_and_pos :args (@t64 1)) % 0.37/0.60 (step @p124 :rule reordering :premises (@p123) :args ((or @t62 @t66))) % 0.37/0.60 (step @p125 :rule cnf_and_neg :args (@t83)) % 0.37/0.60 (step @p126 :rule reordering :premises (@p125) :args ((or (not @t63) (not @t62) @t83 (not @t82)))) % 0.37/0.60 (assume-push @p201 @t61) % 0.37/0.60 (assume-push @p202 @t84) % 0.37/0.60 (assume-push @p203 @t84) % 0.37/0.60 (assume-push @p204 @t61) % 0.37/0.60 (step @p131 :rule trans :premises (@p201 @p20)) % 0.37/0.60 (step-pop @p205 :rule scope :premises (@p131)) % 0.37/0.60 (step-pop @p206 :rule scope :premises (@p205)) % 0.37/0.60 (step @p132 :rule process_scope :premises (@p206) :args (@t82)) % 0.37/0.60 (step @p135 :rule and_intro :premises (@p20 @p201)) % 0.37/0.60 (step @p136 :rule modus_ponens :premises (@p135 @p132)) % 0.37/0.60 (step-pop @p207 :rule scope :premises (@p136)) % 0.37/0.60 (step-pop @p208 :rule scope :premises (@p207)) % 0.37/0.60 (step @p137 :rule process_scope :premises (@p208) :args (@t82)) % 0.37/0.60 (step @p140 :rule implies_elim :premises (@p137)) % 0.37/0.60 (step @p141 :rule cnf_and_neg :args (@t85)) % 0.37/0.60 (step @p142 :rule resolution :premises (@p141 @p140) :args (true @t85)) % 0.37/0.60 (step @p143 :rule reordering :premises (@p142) :args ((or @t87 @t82 @t86))) % 0.37/0.60 (step @p144 :rule chain_m_resolution :premises (@p143 @p20 @p126 @p77 @p124 @p122) :args ((or @t66 @t83) (@list false true false false false) (@list @t84 @t82 @t61 @t62 @t63))) % 0.37/0.60 (step @p145 :rule chain_m_resolution :premises (@p144 @p75) :args (@t83 @t55 @t67)) % 0.37/0.60 (step @p146 :rule cnf_equiv_pos2 :args (@t88)) % 0.37/0.60 (step @p147 :rule reordering :premises (@p146) :args ((or @t70 (not @t83) (not @t88)))) % 0.37/0.60 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p120) :args (@t70 @t53 (@list @t83 @t88))) % 0.37/0.60 (step @p149 :rule cnf_equiv_pos1 :args (@t77)) % 0.37/0.60 (step @p150 :rule reordering :premises (@p149) :args ((or (not @t70) @t76 (not @t77)))) % 0.37/0.60 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p119) :args (@t76 @t53 (@list @t70 @t77))) % 0.37/0.60 (step @p152 :rule refl :args (@t89)) % 0.37/0.60 (step @p153 :rule refl :args (@t91)) % 0.37/0.60 (step @p154 :rule refl :args (@t86)) % 0.37/0.60 (step @p155 :rule refl :args (@t87)) % 0.37/0.60 (step @p156 :rule bool-double-not-elim :args (@t92)) % 0.37/0.60 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154 @p153 @p152) :args ((or (not @t93) @t87 @t86 @t91 @t89))) % 0.37/0.60 (assume-push @p209 @t84) % 0.37/0.60 (assume-push @p210 @t61) % 0.37/0.60 (assume-push @p211 @t90) % 0.37/0.60 (assume-push @p212 @t76) % 0.37/0.60 (assume-push @p213 @t93) % 0.37/0.60 (step @p163 :rule evaluate :args ((= false true))) % 0.37/0.60 (step @p164 :rule trans :premises (@p212 @p24)) % 0.37/0.60 (step @p165 :rule symm :premises (@p164)) % 0.37/0.60 (step @p166 :rule trans :premises (@p210 @p20 @p165)) % 0.37/0.60 (step @p167 :rule true_intro :premises (@p166)) % 0.37/0.60 (step @p168 :rule false_intro :premises (@p19)) % 0.37/0.60 (step @p169 :rule symm :premises (@p168)) % 0.37/0.60 (step @p170 :rule trans :premises (@p169 @p167)) % 0.37/0.60 (step @p171 false :rule eq_resolve :premises (@p170 @p163)) % 0.37/0.60 (step-pop @p214 :rule scope :premises (@p171)) % 0.37/0.60 (step-pop @p215 :rule scope :premises (@p214)) % 0.37/0.60 (step-pop @p216 :rule scope :premises (@p215)) % 0.37/0.60 (step-pop @p217 :rule scope :premises (@p216)) % 0.37/0.60 (step-pop @p218 :rule scope :premises (@p217)) % 0.37/0.60 (step @p172 :rule process_scope :premises (@p218) :args (false)) % 0.37/0.60 (assume-push @p219 @t93) % 0.37/0.60 (assume-push @p220 @t61) % 0.37/0.60 (assume-push @p221 @t84) % 0.37/0.60 (assume-push @p222 @t90) % 0.37/0.60 (assume-push @p223 @t76) % 0.37/0.60 (step @p183 :rule and_intro :premises (@p20 @p220 @p24 @p223 @p19)) % 0.37/0.60 (step-pop @p224 :rule scope :premises (@p183)) % 0.37/0.60 (step-pop @p225 :rule scope :premises (@p224)) % 0.37/0.60 (step-pop @p226 :rule scope :premises (@p225)) % 0.37/0.60 (step-pop @p227 :rule scope :premises (@p226)) % 0.37/0.60 (step-pop @p228 :rule scope :premises (@p227)) % 0.37/0.60 (step @p184 :rule process_scope :premises (@p228) :args (@t94)) % 0.37/0.60 (step @p190 :rule implies_elim :premises (@p184)) % 0.37/0.60 (step @p191 :rule resolution :premises (@p190 @p172) :args (true @t94)) % 0.37/0.60 (step @p192 :rule not_and :premises (@p191)) % 0.37/0.60 (step @p193 :rule eq_resolve :premises (@p192 @p157)) % 0.37/0.60 (step @p194 false :rule chain_m_resolution :premises (@p193 @p151 @p78 @p24 @p20 @p19) :args (false (@list false false false false true) (@list @t76 @t61 @t90 @t84 @t92))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------