%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE021+4 : 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 : n002.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 08:28:06 AM UTC 2026 % Result : Theorem 0.70s 0.92s % Output : Proof 0.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE021+4 : 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 % 0.17/0.34 % Computer : n002.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 05:10:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.70/0.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.70/0.92 % SZS status Theorem % 0.70/0.92 % SZS output start Proof % 0.70/0.92 ( % 0.70/0.92 (declare-sort $$unsorted 0) % 0.70/0.92 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 0.70/0.92 (declare-const tptp.test (-> $$unsorted Bool)) % 0.70/0.92 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 0.70/0.92 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 0.70/0.92 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.70/0.92 (declare-const tptp.zero $$unsorted) % 0.70/0.92 (declare-const tptp.one $$unsorted) % 0.70/0.92 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 0.70/0.92 (define @t1 () (@var "A" $$unsorted)) % 0.70/0.92 (define @t2 () (@var "B" $$unsorted)) % 0.70/0.92 (define @t3 () (tptp.addition @t1 @t2)) % 0.70/0.92 (define @t4 () (@list @t1 @t2)) % 0.70/0.92 (define @t5 () (@var "C" $$unsorted)) % 0.70/0.92 (define @t6 () (tptp.addition @t2 @t5)) % 0.70/0.92 (define @t7 () (@list @t1)) % 0.70/0.92 (define @t8 () (tptp.addition @t1 @t1)) % 0.70/0.92 (define @t9 () (forall @t7 (= @t8 @t1))) % 0.70/0.92 (define @t10 () (tptp.multiplication @t1 @t2)) % 0.70/0.92 (define @t11 () (tptp.multiplication @t2 @t5)) % 0.70/0.92 (define @t12 () (@list @t1 @t2 @t5)) % 0.70/0.92 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 0.70/0.92 (define @t14 () (forall @t7 (= @t13 @t1))) % 0.70/0.92 (define @t15 () (tptp.multiplication tptp.one @t1)) % 0.70/0.92 (define @t16 () (forall @t7 (= @t15 @t1))) % 0.70/0.92 (define @t17 () (tptp.multiplication @t1 @t5)) % 0.70/0.92 (define @t18 () (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 0.70/0.92 (define @t19 () (tptp.leq @t1 @t2)) % 0.70/0.92 (define @t20 () (= @t19 (= @t3 @t2))) % 0.70/0.92 (define @t21 () (forall @t4 @t20)) % 0.70/0.92 (define @t22 () (@var "X0" $$unsorted)) % 0.70/0.92 (define @t23 () (@var "X1" $$unsorted)) % 0.70/0.92 (define @t24 () (tptp.complement @t23 @t22)) % 0.70/0.92 (define @t25 () (@list @t23)) % 0.70/0.92 (define @t26 () (exists @t25 @t24)) % 0.70/0.92 (define @t27 () (tptp.test @t22)) % 0.70/0.92 (define @t28 () (= @t27 @t26)) % 0.70/0.92 (define @t29 () (@list @t22)) % 0.70/0.92 (define @t30 () (forall @t29 @t28)) % 0.70/0.92 (define @t31 () (tptp.addition @t22 @t23)) % 0.70/0.92 (define @t32 () (tptp.multiplication @t23 @t22)) % 0.70/0.92 (define @t33 () (tptp.multiplication @t22 @t23)) % 0.70/0.92 (define @t34 () (and (= @t33 tptp.zero) (= @t32 tptp.zero) (= @t31 tptp.one))) % 0.70/0.92 (define @t35 () (= @t24 @t34)) % 0.70/0.92 (define @t36 () (@list @t22 @t23)) % 0.70/0.92 (define @t37 () (forall @t36 @t35)) % 0.70/0.92 (define @t38 () (tptp.complement @t22 @t23)) % 0.70/0.92 (define @t39 () (tptp.c @t22)) % 0.70/0.92 (define @t40 () (= (= @t39 @t23) @t38)) % 0.70/0.92 (define @t41 () (=> @t27 @t40)) % 0.70/0.92 (define @t42 () (forall @t36 @t41)) % 0.70/0.92 (define @t43 () (not @t27)) % 0.70/0.92 (define @t44 () (tptp.c @t23)) % 0.70/0.92 (define @t45 () (tptp.test @t23)) % 0.70/0.92 (define @t46 () (and @t27 @t45)) % 0.70/0.92 (define @t47 () (tptp.addition @t32 (tptp.multiplication @t44 @t22))) % 0.70/0.92 (define @t48 () (and (tptp.leq @t22 @t47) (tptp.leq @t47 @t22))) % 0.70/0.92 (define @t49 () (forall @t36 (=> @t45 @t48))) % 0.70/0.92 (define @t50 () (not @t49)) % 0.70/0.92 (define @t51 () (forall @t36 (or (not @t45) @t48))) % 0.70/0.92 (define @t52 () (@quantifiers_skolemize @t51 0)) % 0.70/0.92 (define @t53 () (@quantifiers_skolemize @t51 1)) % 0.70/0.92 (define @t54 () (tptp.c @t53)) % 0.70/0.92 (define @t55 () (tptp.addition (tptp.multiplication @t53 @t52) (tptp.multiplication @t54 @t52))) % 0.70/0.92 (define @t56 () (tptp.leq @t55 @t52)) % 0.70/0.92 (define @t57 () (tptp.leq @t52 @t55)) % 0.70/0.92 (define @t58 () (and @t57 @t56)) % 0.70/0.92 (define @t59 () (tptp.test @t53)) % 0.70/0.92 (define @t60 () (not @t59)) % 0.70/0.92 (define @t61 () (or @t60 @t58)) % 0.70/0.92 (define @t62 () (@list true)) % 0.70/0.92 (define @t63 () (@list @t61)) % 0.70/0.92 (define @t64 () (tptp.leq @t52 @t52)) % 0.70/0.92 (define @t65 () (= @t52 (tptp.addition @t52 @t52))) % 0.70/0.92 (define @t66 () (forall @t4 (= @t19 (= @t2 @t3)))) % 0.70/0.92 (define @t67 () (= @t64 @t65)) % 0.70/0.92 (define @t68 () (= @t65 @t64)) % 0.70/0.92 (define @t69 () (@list false)) % 0.70/0.92 (define @t70 () (@list @t52)) % 0.70/0.92 (define @t71 () (@list false false)) % 0.70/0.92 (define @t72 () (forall @t25 (not (tptp.complement @t23 @t53)))) % 0.70/0.92 (define @t73 () (@quantifiers_skolemize @t72 0)) % 0.70/0.92 (define @t74 () (@list @t53 @t73)) % 0.70/0.92 (define @t75 () (@list @t53)) % 0.70/0.92 (define @t76 () (not @t72)) % 0.70/0.92 (define @t77 () (= @t59 @t76)) % 0.70/0.92 (define @t78 () (tptp.complement @t73 @t53)) % 0.70/0.92 (define @t79 () (not @t78)) % 0.70/0.92 (define @t80 () (not @t79)) % 0.70/0.92 (define @t81 () (= tptp.one (tptp.addition @t53 @t73))) % 0.70/0.92 (define @t82 () (= tptp.zero (tptp.multiplication @t73 @t53))) % 0.70/0.92 (define @t83 () (= tptp.zero (tptp.multiplication @t53 @t73))) % 0.70/0.92 (define @t84 () (and @t83 @t82 @t81)) % 0.70/0.92 (define @t85 () (= @t78 @t84)) % 0.70/0.92 (define @t86 () (not @t84)) % 0.70/0.92 (define @t87 () (@list @t84)) % 0.70/0.92 (define @t88 () (= @t23 @t39)) % 0.70/0.92 (define @t89 () (= @t38 @t88)) % 0.70/0.92 (define @t90 () (tptp.complement @t53 @t73)) % 0.70/0.92 (define @t91 () (= @t90 (= @t73 @t54))) % 0.70/0.92 (define @t92 () (or @t60 @t91)) % 0.70/0.92 (define @t93 () (forall @t36 (or @t43 @t89))) % 0.70/0.92 (define @t94 () (= @t54 @t73)) % 0.70/0.92 (define @t95 () (= @t90 @t94)) % 0.70/0.92 (define @t96 () (or @t60 @t95)) % 0.70/0.92 (define @t97 () (= tptp.one (tptp.addition @t73 @t53))) % 0.70/0.92 (define @t98 () (and @t82 @t83 @t97)) % 0.70/0.92 (define @t99 () (= @t90 @t98)) % 0.70/0.92 (define @t100 () (tptp.addition @t53 @t54)) % 0.70/0.92 (define @t101 () (tptp.multiplication @t100 @t52)) % 0.70/0.92 (define @t102 () (= @t101 @t55)) % 0.70/0.92 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 0.70/0.92 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 0.70/0.92 (assume @p3 (forall @t7 (= (tptp.addition @t1 tptp.zero) @t1))) % 0.70/0.92 (assume @p4 @t9) % 0.70/0.92 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 0.70/0.92 (assume @p6 @t14) % 0.70/0.92 (assume @p7 @t16) % 0.70/0.92 (assume @p8 (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 0.70/0.92 (assume @p9 @t18) % 0.70/0.92 (assume @p10 (forall @t7 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 0.70/0.92 (assume @p11 (forall @t7 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 0.70/0.92 (assume @p12 @t21) % 0.70/0.92 (assume @p13 @t30) % 0.70/0.92 (assume @p14 @t37) % 0.70/0.92 (assume @p15 @t42) % 0.70/0.92 (assume @p16 (forall @t29 (=> @t43 (= @t39 tptp.zero)))) % 0.70/0.92 (assume @p17 (forall @t36 (=> @t46 (= (tptp.c @t31) (tptp.multiplication @t39 @t44))))) % 0.70/0.92 (assume @p18 (forall @t36 (=> @t46 (= (tptp.c @t33) (tptp.addition @t39 @t44))))) % 0.70/0.92 (assume @p19 @t50) % 0.70/0.92 (assume @p20 true) % 0.70/0.92 (step @p21 :rule bool-impl-elim :args (@t45 @t48)) % 0.70/0.92 (step @p22 :rule cong :premises (@p21) :args (@t49)) % 0.70/0.92 (step @p23 :rule cong :premises (@p22) :args (@t50)) % 0.70/0.92 (step @p24 :rule eq_resolve :premises (@p19 @p23)) % 0.70/0.92 (step @p25 :rule skolemize :premises (@p24)) % 0.70/0.92 (step @p26 :rule cnf_or_neg :args (@t61 1)) % 0.70/0.92 (step @p27 :rule chain_m_resolution :premises (@p26 @p25) :args ((not @t58) @t62 @t63)) % 0.70/0.92 (step @p28 :rule eq-symm :args (@t3 @t2)) % 0.70/0.92 (step @p29 :rule refl :args (@t19)) % 0.70/0.92 (step @p30 :rule cong :premises (@p29 @p28) :args (@t20)) % 0.70/0.92 (step @p31 :rule cong :premises (@p30) :args (@t21)) % 0.70/0.92 (step @p32 :rule eq_resolve :premises (@p12 @p31)) % 0.70/0.92 (step @p33 :rule eq-symm :args (@t64 @t65)) % 0.70/0.92 (step @p34 :rule refl :args (@t66)) % 0.70/0.92 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t66 @t67))) % 0.70/0.92 (assume-push @p194 @t66) % 0.70/0.92 (step @p37 :rule instantiate :premises (@p32) :args ((@list @t52 @t52))) % 0.70/0.92 (step-pop @p195 :rule scope :premises (@p37)) % 0.70/0.92 (step @p38 :rule process_scope :premises (@p195) :args (@t67)) % 0.70/0.92 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.70/0.92 (step @p41 :rule implies_elim :premises (@p40)) % 0.70/0.92 (step @p42 :rule chain_m_resolution :premises (@p41 @p32) :args (@t68 @t69 (@list @t66))) % 0.70/0.92 (step @p43 :rule eq-symm :args (@t8 @t1)) % 0.70/0.92 (step @p44 :rule cong :premises (@p43) :args (@t9)) % 0.70/0.92 (step @p45 :rule eq_resolve :premises (@p4 @p44)) % 0.70/0.92 (step @p46 :rule instantiate :premises (@p45) :args (@t70)) % 0.70/0.92 (step @p47 :rule cnf_equiv_pos1 :args (@t68)) % 0.70/0.92 (step @p48 :rule reordering :premises (@p47) :args ((or @t64 (not @t65) (not @t68)))) % 0.70/0.92 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p42) :args (@t64 @t71 (@list @t65 @t68))) % 0.70/0.92 (step @p50 :rule true_intro :premises (@p49)) % 0.70/0.92 (step @p51 :rule eq-symm :args (@t13 @t1)) % 0.70/0.92 (step @p52 :rule cong :premises (@p51) :args (@t14)) % 0.70/0.92 (step @p53 :rule eq_resolve :premises (@p6 @p52)) % 0.70/0.92 (step @p54 :rule instantiate :premises (@p53) :args (@t70)) % 0.70/0.92 (step @p55 :rule symm :premises (@p54)) % 0.70/0.92 (step @p56 :rule eq-symm :args (@t31 tptp.one)) % 0.70/0.92 (step @p57 :rule eq-symm :args (@t32 tptp.zero)) % 0.70/0.92 (step @p58 :rule eq-symm :args (@t33 tptp.zero)) % 0.70/0.92 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args (@t34)) % 0.70/0.92 (step @p60 :rule refl :args (@t24)) % 0.70/0.92 (step @p61 :rule cong :premises (@p60 @p59) :args (@t35)) % 0.70/0.92 (step @p62 :rule cong :premises (@p61) :args (@t37)) % 0.70/0.92 (step @p63 :rule eq_resolve :premises (@p14 @p62)) % 0.70/0.92 (step @p64 :rule instantiate :premises (@p63) :args (@t74)) % 0.70/0.92 (step @p65 :rule exists-elim :args ((= @t26 (not (forall @t25 (not @t24)))))) % 0.70/0.92 (step @p66 :rule refl :args (@t27)) % 0.70/0.92 (step @p67 :rule cong :premises (@p66 @p65) :args (@t28)) % 0.70/0.92 (step @p68 :rule cong :premises (@p67) :args (@t30)) % 0.70/0.92 (step @p69 :rule eq_resolve :premises (@p13 @p68)) % 0.70/0.92 (step @p70 :rule instantiate :premises (@p69) :args (@t75)) % 0.70/0.92 (step @p71 :rule bool-double-not-elim :args (@t59)) % 0.70/0.92 (step @p72 :rule refl :args (@t61)) % 0.70/0.92 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t61 (not @t60)))) % 0.70/0.92 (step @p74 :rule cnf_or_neg :args (@t61 0)) % 0.70/0.92 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.70/0.92 (step @p76 :rule reordering :premises (@p75) :args ((or @t59 @t61))) % 0.70/0.92 (step @p77 :rule chain_m_resolution :premises (@p76 @p25) :args (@t59 @t62 @t63)) % 0.70/0.92 (step @p78 :rule cnf_equiv_pos1 :args (@t77)) % 0.70/0.92 (step @p79 :rule reordering :premises (@p78) :args ((or @t60 @t76 (not @t77)))) % 0.70/0.92 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p70) :args (@t76 @t71 (@list @t59 @t77))) % 0.70/0.92 (step @p81 :rule refl :args (@t78)) % 0.70/0.92 (step @p82 :rule bool-double-not-elim :args (@t72)) % 0.70/0.92 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t76) @t78))) % 0.70/0.92 (step @p84 :rule bool-double-not-elim :args (@t78)) % 0.70/0.92 (step @p85 :rule refl :args (@t76)) % 0.70/0.92 (step @p86 :rule cong :premises (@p85 @p84) :args ((=> @t76 @t80))) % 0.70/0.92 (assume-push @p196 @t76) % 0.70/0.92 (step @p88 :rule skolemize :premises (@p80)) % 0.70/0.92 (step-pop @p197 :rule scope :premises (@p88)) % 0.70/0.92 (step @p89 :rule process_scope :premises (@p197) :args (@t80)) % 0.70/0.92 (step @p91 :rule eq_resolve :premises (@p89 @p86)) % 0.70/0.92 (step @p92 :rule implies_elim :premises (@p91)) % 0.70/0.92 (step @p93 :rule eq_resolve :premises (@p92 @p83)) % 0.70/0.92 (step @p94 :rule chain_m_resolution :premises (@p93 @p80) :args (@t78 @t62 (@list @t72))) % 0.70/0.92 (step @p95 :rule cnf_equiv_pos1 :args (@t85)) % 0.70/0.92 (step @p96 :rule reordering :premises (@p95) :args ((or @t79 @t84 (not @t85)))) % 0.70/0.92 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p64) :args (@t84 @t71 (@list @t78 @t85))) % 0.70/0.92 (step @p98 :rule cnf_and_pos :args (@t84 2)) % 0.70/0.92 (step @p99 :rule reordering :premises (@p98) :args ((or @t81 @t86))) % 0.70/0.92 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t81 @t69 @t87)) % 0.70/0.92 (step @p101 :rule symm :premises (@p100)) % 0.70/0.92 (step @p102 :rule refl :args (@t73)) % 0.70/0.92 (step @p103 :rule instantiate :premises (@p45) :args (@t75)) % 0.70/0.92 (step @p104 :rule symm :premises (@p103)) % 0.70/0.92 (step @p105 :rule cong :premises (@p104 @p102) :args ((tptp.addition (tptp.addition @t53 @t53) @t73))) % 0.70/0.92 (step @p106 :rule bool-impl-elim :args (@t27 @t89)) % 0.70/0.92 (step @p107 :rule cong :premises (@p106) :args ((forall @t36 (=> @t27 @t89)))) % 0.70/0.92 (step @p108 :rule eq-symm :args (@t88 @t38)) % 0.70/0.92 (step @p109 :rule refl :args (@t38)) % 0.70/0.92 (step @p110 :rule eq-symm :args (@t39 @t23)) % 0.70/0.92 (step @p111 :rule cong :premises (@p110 @p109) :args (@t40)) % 0.70/0.92 (step @p112 :rule trans :premises (@p111 @p108)) % 0.70/0.92 (step @p113 :rule cong :premises (@p66 @p112) :args (@t41)) % 0.70/0.92 (step @p114 :rule cong :premises (@p113) :args (@t42)) % 0.70/0.92 (step @p115 :rule trans :premises (@p114 @p107)) % 0.70/0.92 (step @p116 :rule eq_resolve :premises (@p15 @p115)) % 0.70/0.92 (step @p117 :rule eq-symm :args (@t73 @t54)) % 0.70/0.92 (step @p118 :rule refl :args (@t90)) % 0.70/0.92 (step @p119 :rule cong :premises (@p118 @p117) :args (@t91)) % 0.70/0.92 (step @p120 :rule refl :args (@t60)) % 0.70/0.92 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t92)) % 0.70/0.92 (step @p122 :rule refl :args (@t93)) % 0.70/0.92 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t93 @t92))) % 0.70/0.92 (assume-push @p198 @t93) % 0.70/0.92 (step @p125 :rule instantiate :premises (@p116) :args (@t74)) % 0.70/0.92 (step-pop @p199 :rule scope :premises (@p125)) % 0.70/0.92 (step @p126 :rule process_scope :premises (@p199) :args (@t92)) % 0.70/0.92 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 0.70/0.92 (step @p129 :rule implies_elim :premises (@p128)) % 0.70/0.92 (step @p130 :rule chain_m_resolution :premises (@p129 @p116) :args (@t96 @t69 (@list @t93))) % 0.70/0.92 (step @p131 :rule cnf_or_pos :args (@t96)) % 0.70/0.92 (step @p132 :rule reordering :premises (@p131) :args ((or @t60 @t95 (not @t96)))) % 0.70/0.92 (step @p133 :rule chain_m_resolution :premises (@p132 @p77 @p130) :args (@t95 @t71 (@list @t59 @t96))) % 0.70/0.92 (step @p134 :rule instantiate :premises (@p63) :args ((@list @t73 @t53))) % 0.70/0.92 (step @p135 :rule instantiate :premises (@p1) :args (@t74)) % 0.70/0.92 (step @p136 :rule trans :premises (@p100 @p135)) % 0.70/0.92 (step @p137 :rule cnf_and_pos :args (@t84 1)) % 0.70/0.93 (step @p138 :rule reordering :premises (@p137) :args ((or @t82 @t86))) % 0.70/0.93 (step @p139 :rule chain_m_resolution :premises (@p138 @p97) :args (@t82 @t69 @t87)) % 0.70/0.93 (step @p140 :rule cnf_and_pos :args (@t84 0)) % 0.70/0.93 (step @p141 :rule reordering :premises (@p140) :args ((or @t83 @t86))) % 0.70/0.93 (step @p142 :rule chain_m_resolution :premises (@p141 @p97) :args (@t83 @t69 @t87)) % 0.70/0.93 (step @p143 :rule cnf_and_neg :args (@t98)) % 0.70/0.93 (step @p144 :rule reordering :premises (@p143) :args ((or (not @t83) (not @t82) @t98 (not @t97)))) % 0.70/0.93 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p139 @p136) :args (@t98 (@list false false false) (@list @t83 @t82 @t97))) % 0.70/0.93 (step @p146 :rule cnf_equiv_pos2 :args (@t99)) % 0.70/0.93 (step @p147 :rule reordering :premises (@p146) :args ((or @t90 (not @t98) (not @t99)))) % 0.70/0.93 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p134) :args (@t90 @t71 (@list @t98 @t99))) % 0.70/0.93 (step @p149 :rule cnf_equiv_pos1 :args (@t95)) % 0.70/0.93 (step @p150 :rule reordering :premises (@p149) :args ((or (not @t90) @t94 (not @t95)))) % 0.70/0.93 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p133) :args (@t94 @t71 (@list @t90 @t95))) % 0.70/0.93 (step @p152 :rule cong :premises (@p103 @p151) :args (@t100)) % 0.70/0.93 (step @p153 :rule trans :premises (@p152 @p105 @p101)) % 0.70/0.93 (step @p154 :rule refl :args (@t52)) % 0.70/0.93 (step @p155 :rule cong :premises (@p154 @p153) :args ((tptp.multiplication @t52 @t100))) % 0.70/0.93 (step @p156 :rule instantiate :premises (@p8) :args ((@list @t52 @t53 @t54))) % 0.70/0.93 (step @p157 :rule symm :premises (@p156)) % 0.70/0.93 (step @p158 :rule trans :premises (@p157 @p155 @p55)) % 0.70/0.93 (step @p159 :rule cong :premises (@p154 @p158) :args ((tptp.leq @t52 (tptp.addition (tptp.multiplication @t52 @t53) (tptp.multiplication @t52 @t54))))) % 0.70/0.93 (step @p160 :rule symm :premises (@p155)) % 0.70/0.93 (step @p161 :rule eq-symm :args (@t15 @t1)) % 0.70/0.93 (step @p162 :rule cong :premises (@p161) :args (@t16)) % 0.70/0.93 (step @p163 :rule eq_resolve :premises (@p7 @p162)) % 0.70/0.93 (step @p164 :rule instantiate :premises (@p163) :args (@t70)) % 0.70/0.93 (step @p165 :rule symm :premises (@p164)) % 0.70/0.93 (step @p166 :rule instantiate :premises (@p1) :args ((@list @t53 @t54))) % 0.70/0.93 (step @p167 :rule symm :premises (@p166)) % 0.70/0.93 (step @p168 :rule trans :premises (@p167 @p153)) % 0.70/0.93 (step @p169 :rule cong :premises (@p168 @p154) :args ((tptp.multiplication (tptp.addition @t54 @t53) @t52))) % 0.70/0.93 (step @p170 :rule cong :premises (@p166 @p154) :args (@t101)) % 0.70/0.93 (step @p171 :rule eq-symm :args (@t101 @t55)) % 0.70/0.93 (step @p172 :rule refl :args (@t18)) % 0.70/0.93 (step @p173 :rule cong :premises (@p172 @p171) :args ((=> @t18 @t102))) % 0.70/0.93 (assume-push @p200 @t18) % 0.70/0.93 (step @p175 :rule instantiate :premises (@p9) :args ((@list @t53 @t54 @t52))) % 0.70/0.93 (step-pop @p201 :rule scope :premises (@p175)) % 0.70/0.93 (step @p176 :rule process_scope :premises (@p201) :args (@t102)) % 0.70/0.93 (step @p178 :rule eq_resolve :premises (@p176 @p173)) % 0.70/0.93 (step @p179 :rule implies_elim :premises (@p178)) % 0.70/0.93 (step @p180 :rule chain_m_resolution :premises (@p179 @p9) :args ((= @t55 @t101) @t69 (@list @t18))) % 0.70/0.93 (step @p181 :rule trans :premises (@p180 @p170 @p169 @p165 @p54 @p160 @p156)) % 0.70/0.93 (step @p182 :rule trans :premises (@p181 @p158)) % 0.70/0.93 (step @p183 :rule cong :premises (@p182 @p181) :args ((tptp.leq @t55 @t55))) % 0.70/0.93 (step @p184 :rule symm :premises (@p182)) % 0.70/0.93 (step @p185 :rule refl :args (@t55)) % 0.70/0.93 (step @p186 :rule cong :premises (@p185 @p184) :args (@t56)) % 0.70/0.93 (step @p187 :rule trans :premises (@p186 @p183 @p159 @p50)) % 0.70/0.93 (step @p188 :rule true_elim :premises (@p187)) % 0.70/0.93 (step @p189 :rule cong :premises (@p154 @p181) :args (@t57)) % 0.70/0.93 (step @p190 :rule trans :premises (@p189 @p159 @p50)) % 0.70/0.93 (step @p191 :rule true_elim :premises (@p190)) % 0.70/0.93 (step @p192 :rule cnf_and_neg :args (@t58)) % 0.70/0.93 (step @p193 false :rule chain_m_resolution :premises (@p192 @p191 @p188 @p27) :args (false (@list false false true) (@list @t57 @t56 @t58))) % 0.70/0.93 ) % 0.70/0.93 % SZS output end Proof % 0.70/0.93 % cvc5 exiting %------------------------------------------------------------------------------