%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE060+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:28:13 AM UTC 2026 % Result : Theorem 15.92s 16.53s % Output : Proof 15.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE060+1 : TPTP v9.2.1. Released v4.0.0. % 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 : n021.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 05:12:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.92/16.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.92/16.53 --- Run --no-e-matching --full-saturate-quant at 6... % 15.92/16.53 % SZS status Theorem % 15.92/16.53 % SZS output start Proof % 15.92/16.53 ( % 15.92/16.53 (declare-sort $$unsorted 0) % 15.92/16.53 (declare-const tptp.domain (-> $$unsorted $$unsorted)) % 15.92/16.53 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 15.92/16.53 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 15.92/16.53 (declare-const tptp.zero $$unsorted) % 15.92/16.53 (declare-const tptp.one $$unsorted) % 15.92/16.53 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 15.92/16.53 (define @t1 () (@var "A" $$unsorted)) % 15.92/16.53 (define @t2 () (@var "B" $$unsorted)) % 15.92/16.53 (define @t3 () (tptp.addition @t1 @t2)) % 15.92/16.53 (define @t4 () (@list @t1 @t2)) % 15.92/16.53 (define @t5 () (@var "C" $$unsorted)) % 15.92/16.53 (define @t6 () (tptp.addition @t2 @t5)) % 15.92/16.53 (define @t7 () (tptp.addition @t1 tptp.zero)) % 15.92/16.53 (define @t8 () (@list @t1)) % 15.92/16.53 (define @t9 () (forall @t8 (= @t7 @t1))) % 15.92/16.53 (define @t10 () (tptp.multiplication @t1 @t2)) % 15.92/16.53 (define @t11 () (tptp.multiplication @t2 @t5)) % 15.92/16.53 (define @t12 () (@list @t1 @t2 @t5)) % 15.92/16.53 (define @t13 () (tptp.multiplication @t1 tptp.one)) % 15.92/16.53 (define @t14 () (forall @t8 (= @t13 @t1))) % 15.92/16.53 (define @t15 () (tptp.multiplication tptp.one @t1)) % 15.92/16.53 (define @t16 () (forall @t8 (= @t15 @t1))) % 15.92/16.53 (define @t17 () (tptp.multiplication @t1 @t5)) % 15.92/16.53 (define @t18 () (forall @t12 (= (tptp.multiplication @t1 @t6) (tptp.addition @t10 @t17)))) % 15.92/16.53 (define @t19 () (@var "X0" $$unsorted)) % 15.92/16.53 (define @t20 () (tptp.domain @t19)) % 15.92/16.53 (define @t21 () (tptp.multiplication @t20 @t19)) % 15.92/16.53 (define @t22 () (tptp.addition @t19 @t21)) % 15.92/16.53 (define @t23 () (@list @t19)) % 15.92/16.53 (define @t24 () (forall @t23 (= @t22 @t21))) % 15.92/16.53 (define @t25 () (@var "X1" $$unsorted)) % 15.92/16.53 (define @t26 () (tptp.domain @t25)) % 15.92/16.53 (define @t27 () (@list @t19 @t25)) % 15.92/16.53 (define @t28 () (tptp.addition @t20 tptp.one)) % 15.92/16.53 (define @t29 () (forall @t23 (= @t28 tptp.one))) % 15.92/16.53 (define @t30 () (forall @t27 (= (tptp.domain (tptp.multiplication @t20 @t25)) (tptp.multiplication @t20 @t26)))) % 15.92/16.53 (define @t31 () (@quantifiers_skolemize @t30 1)) % 15.92/16.53 (define @t32 () (@list @t31)) % 15.92/16.53 (define @t33 () (tptp.domain @t31)) % 15.92/16.53 (define @t34 () (@list @t33)) % 15.92/16.53 (define @t35 () (tptp.domain @t33)) % 15.92/16.53 (define @t36 () (@quantifiers_skolemize @t30 0)) % 15.92/16.53 (define @t37 () (@list @t36)) % 15.92/16.53 (define @t38 () (tptp.domain @t36)) % 15.92/16.53 (define @t39 () (tptp.addition @t38 tptp.one)) % 15.92/16.53 (define @t40 () (@list tptp.one)) % 15.92/16.53 (define @t41 () (tptp.domain tptp.one)) % 15.92/16.53 (define @t42 () (tptp.multiplication @t35 @t33)) % 15.92/16.53 (define @t43 () (tptp.multiplication @t33 @t33)) % 15.92/16.53 (define @t44 () (tptp.multiplication @t38 @t33)) % 15.92/16.53 (define @t45 () (tptp.addition @t44 @t43)) % 15.92/16.53 (define @t46 () (tptp.multiplication @t38 @t31)) % 15.92/16.53 (define @t47 () (@list @t46)) % 15.92/16.53 (define @t48 () (tptp.domain @t46)) % 15.92/16.53 (define @t49 () (@list @t48)) % 15.92/16.53 (define @t50 () (tptp.domain @t48)) % 15.92/16.53 (define @t51 () (tptp.addition @t48 @t33)) % 15.92/16.53 (define @t52 () (@list @t38)) % 15.92/16.53 (define @t53 () (tptp.domain @t38)) % 15.92/16.53 (define @t54 () (tptp.addition @t41 @t53)) % 15.92/16.53 (define @t55 () (tptp.multiplication @t53 @t38)) % 15.92/16.53 (define @t56 () (tptp.multiplication @t38 tptp.one)) % 15.92/16.53 (define @t57 () (tptp.multiplication @t38 @t38)) % 15.92/16.53 (define @t58 () (tptp.multiplication @t38 @t35)) % 15.92/16.53 (define @t59 () (tptp.domain @t57)) % 15.92/16.53 (define @t60 () (tptp.addition @t38 @t48)) % 15.92/16.53 (define @t61 () (tptp.domain @t58)) % 15.92/16.53 (define @t62 () (tptp.multiplication @t61 @t58)) % 15.92/16.53 (define @t63 () (tptp.multiplication @t48 @t48)) % 15.92/16.53 (define @t64 () (tptp.multiplication @t50 @t48)) % 15.92/16.53 (define @t65 () (tptp.multiplication tptp.one @t48)) % 15.92/16.53 (define @t66 () (tptp.addition @t41 @t50)) % 15.92/16.53 (define @t67 () (tptp.multiplication @t38 @t48)) % 15.92/16.53 (define @t68 () (tptp.multiplication @t48 @t38)) % 15.92/16.53 (define @t69 () (tptp.multiplication @t48 @t57)) % 15.92/16.53 (define @t70 () (tptp.addition @t69 (tptp.multiplication @t48 @t44))) % 15.92/16.53 (define @t71 () (tptp.multiplication @t48 (tptp.addition @t57 @t44))) % 15.92/16.53 (define @t72 () (= @t71 @t70)) % 15.92/16.53 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 15.92/16.53 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 15.92/16.53 (assume @p3 @t9) % 15.92/16.53 (assume @p4 (forall @t8 (= (tptp.addition @t1 @t1) @t1))) % 15.92/16.53 (assume @p5 (forall @t12 (= (tptp.multiplication @t1 @t11) (tptp.multiplication @t10 @t5)))) % 15.92/16.53 (assume @p6 @t14) % 15.92/16.53 (assume @p7 @t16) % 15.92/16.53 (assume @p8 @t18) % 15.92/16.53 (assume @p9 (forall @t12 (= (tptp.multiplication @t3 @t5) (tptp.addition @t17 @t11)))) % 15.92/16.53 (assume @p10 (forall @t8 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 15.92/16.53 (assume @p11 (forall @t8 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 15.92/16.53 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 15.92/16.53 (assume @p13 @t24) % 15.92/16.53 (assume @p14 (forall @t27 (= (tptp.domain (tptp.multiplication @t19 @t25)) (tptp.domain (tptp.multiplication @t19 @t26))))) % 15.92/16.53 (assume @p15 @t29) % 15.92/16.53 (assume @p16 (= (tptp.domain tptp.zero) tptp.zero)) % 15.92/16.53 (assume @p17 (forall @t27 (= (tptp.domain (tptp.addition @t19 @t25)) (tptp.addition @t20 @t26)))) % 15.92/16.53 (assume @p18 (not @t30)) % 15.92/16.53 (assume @p19 true) % 15.92/16.53 (step @p20 :rule skolemize :premises (@p18)) % 15.92/16.53 (step @p21 :rule false_intro :premises (@p20)) % 15.92/16.53 (step @p22 :rule eq-symm :args (@t7 @t1)) % 15.92/16.53 (step @p23 :rule cong :premises (@p22) :args (@t9)) % 15.92/16.53 (step @p24 :rule eq_resolve :premises (@p3 @p23)) % 15.92/16.53 (step @p25 :rule instantiate :premises (@p24) :args (@t32)) % 15.92/16.53 (step @p26 :rule symm :premises (@p25)) % 15.92/16.53 (step @p27 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t31))) % 15.92/16.53 (step @p28 :rule trans :premises (@p27 @p26)) % 15.92/16.53 (step @p29 :rule cong :premises (@p28) :args ((tptp.domain (tptp.addition tptp.zero @t31)))) % 15.92/16.53 (step @p30 :rule symm :premises (@p27)) % 15.92/16.53 (step @p31 :rule eq-symm :args (@t15 @t1)) % 15.92/16.53 (step @p32 :rule cong :premises (@p31) :args (@t16)) % 15.92/16.53 (step @p33 :rule eq_resolve :premises (@p7 @p32)) % 15.92/16.53 (step @p34 :rule instantiate :premises (@p33) :args (@t32)) % 15.92/16.53 (step @p35 :rule symm :premises (@p34)) % 15.92/16.53 (step @p36 :rule trans :premises (@p35 @p25 @p30)) % 15.92/16.53 (step @p37 :rule cong :premises (@p36) :args ((tptp.domain (tptp.multiplication tptp.one @t31)))) % 15.92/16.53 (step @p38 :rule instantiate :premises (@p14) :args ((@list tptp.one @t31))) % 15.92/16.53 (step @p39 :rule symm :premises (@p38)) % 15.92/16.53 (step @p40 :rule instantiate :premises (@p33) :args (@t34)) % 15.92/16.53 (step @p41 :rule cong :premises (@p40) :args (@t35)) % 15.92/16.53 (step @p42 :rule symm :premises (@p40)) % 15.92/16.53 (step @p43 :rule refl :args (@t33)) % 15.92/16.53 (step @p44 :rule eq-symm :args (@t28 tptp.one)) % 15.92/16.53 (step @p45 :rule cong :premises (@p44) :args (@t29)) % 15.92/16.53 (step @p46 :rule eq_resolve :premises (@p15 @p45)) % 15.92/16.53 (step @p47 :rule instantiate :premises (@p46) :args (@t37)) % 15.92/16.53 (step @p48 :rule symm :premises (@p47)) % 15.92/16.53 (step @p49 :rule cong :premises (@p48 @p43) :args ((tptp.multiplication @t39 @t33))) % 15.92/16.53 (step @p50 :rule instantiate :premises (@p9) :args ((@list @t38 tptp.one @t33))) % 15.92/16.53 (step @p51 :rule symm :premises (@p50)) % 15.92/16.53 (step @p52 :rule trans :premises (@p41 @p39 @p37 @p29)) % 15.92/16.53 (step @p53 :rule symm :premises (@p52)) % 15.92/16.53 (step @p54 :rule instantiate :premises (@p46) :args (@t40)) % 15.92/16.53 (step @p55 :rule symm :premises (@p54)) % 15.92/16.53 (step @p56 :rule instantiate :premises (@p1) :args ((@list @t41 tptp.one))) % 15.92/16.53 (step @p57 :rule symm :premises (@p56)) % 15.92/16.53 (step @p58 :rule eq-symm :args (@t13 @t1)) % 15.92/16.53 (step @p59 :rule cong :premises (@p58) :args (@t14)) % 15.92/16.53 (step @p60 :rule eq_resolve :premises (@p6 @p59)) % 15.92/16.53 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t41))) % 15.92/16.53 (step @p62 :rule symm :premises (@p61)) % 15.92/16.53 (step @p63 :rule refl :args (tptp.one)) % 15.92/16.53 (step @p64 :rule cong :premises (@p63 @p62) :args ((tptp.addition tptp.one (tptp.multiplication @t41 tptp.one)))) % 15.92/16.53 (step @p65 :rule eq-symm :args (@t22 @t21)) % 15.92/16.53 (step @p66 :rule cong :premises (@p65) :args (@t24)) % 15.92/16.53 (step @p67 :rule eq_resolve :premises (@p13 @p66)) % 15.92/16.53 (step @p68 :rule instantiate :premises (@p67) :args (@t40)) % 15.92/16.53 (step @p69 :rule trans :premises (@p61 @p68 @p64 @p57 @p55)) % 15.92/16.53 (step @p70 :rule symm :premises (@p69)) % 15.92/16.53 (step @p71 :rule cong :premises (@p70 @p53) :args ((tptp.addition tptp.one @t33))) % 15.92/16.53 (step @p72 :rule instantiate :premises (@p1) :args ((@list @t33 tptp.one))) % 15.92/16.53 (step @p73 :rule instantiate :premises (@p46) :args (@t32)) % 15.92/16.53 (step @p74 :rule trans :premises (@p73 @p72 @p71)) % 15.92/16.53 (step @p75 :rule symm :premises (@p74)) % 15.92/16.53 (step @p76 :rule cong :premises (@p75 @p43) :args ((tptp.multiplication (tptp.addition @t41 @t35) @t33))) % 15.92/16.53 (step @p77 :rule instantiate :premises (@p9) :args ((@list @t41 @t35 @t33))) % 15.92/16.53 (step @p78 :rule symm :premises (@p77)) % 15.92/16.53 (step @p79 :rule refl :args (@t42)) % 15.92/16.53 (step @p80 :rule cong :premises (@p70 @p43) :args ((tptp.multiplication tptp.one @t33))) % 15.92/16.53 (step @p81 :rule trans :premises (@p40 @p80)) % 15.92/16.53 (step @p82 :rule cong :premises (@p81 @p79) :args ((tptp.addition @t33 @t42))) % 15.92/16.53 (step @p83 :rule instantiate :premises (@p67) :args (@t34)) % 15.92/16.53 (step @p84 :rule cong :premises (@p53 @p43) :args (@t43)) % 15.92/16.53 (step @p85 :rule trans :premises (@p84 @p83 @p82 @p78 @p76)) % 15.92/16.53 (step @p86 :rule refl :args (@t44)) % 15.92/16.53 (step @p87 :rule cong :premises (@p86 @p85) :args (@t45)) % 15.92/16.53 (step @p88 :rule trans :premises (@p87 @p51 @p49 @p42)) % 15.92/16.53 (step @p89 :rule cong :premises (@p88) :args ((tptp.domain @t45))) % 15.92/16.53 (step @p90 :rule instantiate :premises (@p17) :args ((@list @t44 @t43))) % 15.92/16.53 (step @p91 :rule symm :premises (@p90)) % 15.92/16.53 (step @p92 :rule symm :premises (@p84)) % 15.92/16.53 (step @p93 :rule cong :premises (@p92) :args ((tptp.domain @t42))) % 15.92/16.53 (step @p94 :rule symm :premises (@p83)) % 15.92/16.53 (step @p95 :rule symm :premises (@p82)) % 15.92/16.53 (step @p96 :rule symm :premises (@p76)) % 15.92/16.53 (step @p97 :rule trans :premises (@p40 @p96 @p77 @p95 @p94)) % 15.92/16.53 (step @p98 :rule cong :premises (@p97) :args (@t35)) % 15.92/16.53 (step @p99 :rule trans :premises (@p98 @p93)) % 15.92/16.53 (step @p100 :rule instantiate :premises (@p14) :args ((@list @t38 @t31))) % 15.92/16.53 (step @p101 :rule instantiate :premises (@p24) :args (@t47)) % 15.92/16.53 (step @p102 :rule symm :premises (@p101)) % 15.92/16.53 (step @p103 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t46))) % 15.92/16.53 (step @p104 :rule trans :premises (@p103 @p102)) % 15.92/16.53 (step @p105 :rule cong :premises (@p104) :args ((tptp.domain (tptp.addition tptp.zero @t46)))) % 15.92/16.53 (step @p106 :rule symm :premises (@p103)) % 15.92/16.53 (step @p107 :rule instantiate :premises (@p33) :args (@t47)) % 15.92/16.53 (step @p108 :rule symm :premises (@p107)) % 15.92/16.53 (step @p109 :rule trans :premises (@p108 @p101 @p106)) % 15.92/16.53 (step @p110 :rule cong :premises (@p109) :args ((tptp.domain (tptp.multiplication tptp.one @t46)))) % 15.92/16.53 (step @p111 :rule instantiate :premises (@p14) :args ((@list tptp.one @t46))) % 15.92/16.53 (step @p112 :rule symm :premises (@p111)) % 15.92/16.53 (step @p113 :rule instantiate :premises (@p33) :args (@t49)) % 15.92/16.53 (step @p114 :rule cong :premises (@p113) :args (@t50)) % 15.92/16.53 (step @p115 :rule trans :premises (@p114 @p112 @p110 @p105)) % 15.92/16.53 (step @p116 :rule trans :premises (@p115 @p100)) % 15.92/16.53 (step @p117 :rule cong :premises (@p116 @p99) :args ((tptp.addition @t50 @t35))) % 15.92/16.53 (step @p118 :rule symm :premises (@p115)) % 15.92/16.53 (step @p119 :rule cong :premises (@p118 @p53) :args (@t51)) % 15.92/16.53 (step @p120 :rule trans :premises (@p119 @p117 @p91 @p89 @p41 @p39 @p37 @p29)) % 15.92/16.53 (step @p121 :rule refl :args (@t38)) % 15.92/16.53 (step @p122 :rule cong :premises (@p121 @p120) :args ((tptp.multiplication @t38 @t51))) % 15.92/16.53 (step @p123 :rule instantiate :premises (@p8) :args ((@list @t38 @t48 @t33))) % 15.92/16.53 (step @p124 :rule symm :premises (@p123)) % 15.92/16.53 (step @p125 :rule instantiate :premises (@p60) :args (@t52)) % 15.92/16.53 (step @p126 :rule symm :premises (@p125)) % 15.92/16.53 (step @p127 :rule instantiate :premises (@p1) :args ((@list @t38 tptp.one))) % 15.92/16.53 (step @p128 :rule symm :premises (@p127)) % 15.92/16.53 (step @p129 :rule instantiate :premises (@p24) :args (@t37)) % 15.92/16.53 (step @p130 :rule symm :premises (@p129)) % 15.92/16.53 (step @p131 :rule instantiate :premises (@p1) :args ((@list tptp.zero @t36))) % 15.92/16.53 (step @p132 :rule trans :premises (@p131 @p130)) % 15.92/16.53 (step @p133 :rule cong :premises (@p132) :args ((tptp.domain (tptp.addition tptp.zero @t36)))) % 15.92/16.53 (step @p134 :rule symm :premises (@p131)) % 15.92/16.53 (step @p135 :rule instantiate :premises (@p33) :args (@t37)) % 15.92/16.53 (step @p136 :rule symm :premises (@p135)) % 15.92/16.53 (step @p137 :rule trans :premises (@p136 @p129 @p134)) % 15.92/16.53 (step @p138 :rule cong :premises (@p137) :args ((tptp.domain (tptp.multiplication tptp.one @t36)))) % 15.92/16.53 (step @p139 :rule instantiate :premises (@p14) :args ((@list tptp.one @t36))) % 15.92/16.53 (step @p140 :rule symm :premises (@p139)) % 15.92/16.53 (step @p141 :rule instantiate :premises (@p33) :args (@t52)) % 15.92/16.53 (step @p142 :rule cong :premises (@p141) :args (@t53)) % 15.92/16.53 (step @p143 :rule trans :premises (@p142 @p140 @p138 @p133)) % 15.92/16.53 (step @p144 :rule cong :premises (@p69 @p143) :args (@t54)) % 15.92/16.53 (step @p145 :rule trans :premises (@p144 @p128 @p48)) % 15.92/16.53 (step @p146 :rule cong :premises (@p121 @p145) :args ((tptp.multiplication @t38 @t54))) % 15.92/16.53 (step @p147 :rule instantiate :premises (@p8) :args ((@list @t38 @t41 @t53))) % 15.92/16.53 (step @p148 :rule symm :premises (@p147)) % 15.92/16.53 (step @p149 :rule symm :premises (@p143)) % 15.92/16.53 (step @p150 :rule cong :premises (@p143 @p149) :args (@t55)) % 15.92/16.53 (step @p151 :rule cong :premises (@p121 @p70) :args (@t56)) % 15.92/16.53 (step @p152 :rule trans :premises (@p125 @p151)) % 15.92/16.53 (step @p153 :rule cong :premises (@p152 @p150) :args ((tptp.addition @t38 @t55))) % 15.92/16.53 (step @p154 :rule instantiate :premises (@p67) :args (@t52)) % 15.92/16.53 (step @p155 :rule cong :premises (@p149 @p121) :args (@t57)) % 15.92/16.53 (step @p156 :rule trans :premises (@p155 @p154 @p153 @p148 @p146 @p126)) % 15.92/16.53 (step @p157 :rule cong :premises (@p156 @p43) :args ((tptp.multiplication @t57 @t33))) % 15.92/16.53 (step @p158 :rule instantiate :premises (@p5) :args ((@list @t38 @t38 @t33))) % 15.92/16.53 (step @p159 :rule cong :premises (@p121 @p52) :args (@t58)) % 15.92/16.53 (step @p160 :rule symm :premises (@p156)) % 15.92/16.53 (step @p161 :rule symm :premises (@p152)) % 15.92/16.53 (step @p162 :rule trans :premises (@p161 @p160)) % 15.92/16.53 (step @p163 :rule cong :premises (@p162 @p159) :args ((tptp.addition (tptp.multiplication @t38 @t41) @t58))) % 15.92/16.53 (step @p164 :rule instantiate :premises (@p8) :args ((@list @t38 @t41 @t35))) % 15.92/16.53 (step @p165 :rule cong :premises (@p121 @p74) :args (@t56)) % 15.92/16.53 (step @p166 :rule trans :premises (@p125 @p165 @p164 @p163)) % 15.92/16.53 (step @p167 :rule cong :premises (@p166) :args (@t53)) % 15.92/16.53 (step @p168 :rule symm :premises (@p167)) % 15.92/16.53 (step @p169 :rule instantiate :premises (@p17) :args ((@list @t57 @t44))) % 15.92/16.53 (step @p170 :rule symm :premises (@p169)) % 15.92/16.53 (step @p171 :rule symm :premises (@p100)) % 15.92/16.53 (step @p172 :rule cong :premises (@p156) :args (@t59)) % 15.92/16.53 (step @p173 :rule trans :premises (@p172 @p142 @p140 @p138 @p133)) % 15.92/16.53 (step @p174 :rule cong :premises (@p173 @p171) :args ((tptp.addition @t59 (tptp.domain @t44)))) % 15.92/16.53 (step @p175 :rule symm :premises (@p174)) % 15.92/16.53 (step @p176 :rule trans :premises (@p175 @p170 @p168 @p142 @p140 @p138 @p133)) % 15.92/16.53 (step @p177 :rule cong :premises (@p176 @p86) :args ((tptp.multiplication @t60 @t44))) % 15.92/16.53 (step @p178 :rule instantiate :premises (@p9) :args ((@list @t38 @t48 @t44))) % 15.92/16.53 (step @p179 :rule symm :premises (@p178)) % 15.92/16.53 (step @p180 :rule cong :premises (@p159) :args (@t61)) % 15.92/16.53 (step @p181 :rule trans :premises (@p180 @p171)) % 15.92/16.53 (step @p182 :rule cong :premises (@p181 @p159) :args (@t62)) % 15.92/16.53 (step @p183 :rule symm :premises (@p158)) % 15.92/16.53 (step @p184 :rule symm :premises (@p157)) % 15.92/16.53 (step @p185 :rule trans :premises (@p159 @p184 @p183)) % 15.92/16.53 (step @p186 :rule cong :premises (@p185 @p182) :args ((tptp.addition @t58 @t62))) % 15.92/16.53 (step @p187 :rule instantiate :premises (@p67) :args ((@list @t58))) % 15.92/16.53 (step @p188 :rule symm :premises (@p182)) % 15.92/16.53 (step @p189 :rule trans :premises (@p188 @p187 @p186 @p179 @p177 @p158 @p157)) % 15.92/16.53 (step @p190 :rule cong :premises (@p121 @p115) :args ((tptp.multiplication @t38 @t50))) % 15.92/16.53 (step @p191 :rule cong :premises (@p176 @p118) :args ((tptp.multiplication @t60 @t48))) % 15.92/16.53 (step @p192 :rule instantiate :premises (@p9) :args ((@list @t38 @t48 @t48))) % 15.92/16.53 (step @p193 :rule symm :premises (@p192)) % 15.92/16.53 (step @p194 :rule refl :args (@t48)) % 15.92/16.53 (step @p195 :rule cong :premises (@p118 @p194) :args (@t63)) % 15.92/16.53 (step @p196 :rule symm :premises (@p195)) % 15.92/16.53 (step @p197 :rule instantiate :premises (@p67) :args (@t49)) % 15.92/16.53 (step @p198 :rule symm :premises (@p197)) % 15.92/16.53 (step @p199 :rule refl :args (@t64)) % 15.92/16.53 (step @p200 :rule cong :premises (@p70 @p194) :args (@t65)) % 15.92/16.53 (step @p201 :rule trans :premises (@p113 @p200)) % 15.92/16.53 (step @p202 :rule cong :premises (@p201 @p199) :args ((tptp.addition @t48 @t64))) % 15.92/16.53 (step @p203 :rule symm :premises (@p202)) % 15.92/16.53 (step @p204 :rule instantiate :premises (@p9) :args ((@list @t41 @t50 @t48))) % 15.92/16.53 (step @p205 :rule instantiate :premises (@p46) :args (@t47)) % 15.92/16.53 (step @p206 :rule symm :premises (@p205)) % 15.92/16.53 (step @p207 :rule instantiate :premises (@p1) :args ((@list @t48 tptp.one))) % 15.92/16.53 (step @p208 :rule symm :premises (@p207)) % 15.92/16.53 (step @p209 :rule cong :premises (@p69 @p115) :args (@t66)) % 15.92/16.53 (step @p210 :rule trans :premises (@p209 @p208 @p206)) % 15.92/16.53 (step @p211 :rule cong :premises (@p210 @p194) :args ((tptp.multiplication @t66 @t48))) % 15.92/16.53 (step @p212 :rule symm :premises (@p211)) % 15.92/16.53 (step @p213 :rule trans :premises (@p212 @p204 @p203 @p198 @p196)) % 15.92/16.53 (step @p214 :rule refl :args (@t67)) % 15.92/16.53 (step @p215 :rule cong :premises (@p214 @p213) :args ((tptp.addition @t67 @t65))) % 15.92/16.53 (step @p216 :rule instantiate :premises (@p9) :args ((@list @t38 tptp.one @t48))) % 15.92/16.53 (step @p217 :rule cong :premises (@p47 @p194) :args (@t65)) % 15.92/16.53 (step @p218 :rule trans :premises (@p113 @p217 @p216 @p215 @p193 @p191 @p190)) % 15.92/16.53 (step @p219 :rule instantiate :premises (@p60) :args (@t49)) % 15.92/16.53 (step @p220 :rule symm :premises (@p219)) % 15.92/16.53 (step @p221 :rule cong :premises (@p194 @p48) :args ((tptp.multiplication @t48 @t39))) % 15.92/16.53 (step @p222 :rule instantiate :premises (@p8) :args ((@list @t48 @t38 tptp.one))) % 15.92/16.53 (step @p223 :rule symm :premises (@p222)) % 15.92/16.53 (step @p224 :rule symm :premises (@p113)) % 15.92/16.53 (step @p225 :rule symm :premises (@p204)) % 15.92/16.53 (step @p226 :rule trans :premises (@p195 @p197 @p202 @p225 @p211 @p224 @p219)) % 15.92/16.53 (step @p227 :rule refl :args (@t68)) % 15.92/16.53 (step @p228 :rule cong :premises (@p227 @p226) :args ((tptp.addition @t68 @t63))) % 15.92/16.53 (step @p229 :rule instantiate :premises (@p8) :args ((@list @t48 @t38 @t48))) % 15.92/16.53 (step @p230 :rule trans :premises (@p167 @p169 @p174)) % 15.92/16.53 (step @p231 :rule cong :premises (@p194 @p230) :args ((tptp.multiplication @t48 @t53))) % 15.92/16.53 (step @p232 :rule symm :premises (@p142)) % 15.92/16.53 (step @p233 :rule symm :premises (@p138)) % 15.92/16.53 (step @p234 :rule symm :premises (@p133)) % 15.92/16.53 (step @p235 :rule trans :premises (@p155 @p154 @p153 @p148 @p146 @p126 @p234 @p233 @p139 @p232)) % 15.92/16.53 (step @p236 :rule cong :premises (@p194 @p235) :args (@t69)) % 15.92/16.53 (step @p237 :rule trans :premises (@p236 @p231 @p229 @p228 @p223 @p221 @p220)) % 15.92/16.53 (step @p238 :rule trans :premises (@p237 @p218)) % 15.92/16.53 (step @p239 :rule cong :premises (@p238 @p189) :args (@t70)) % 15.92/16.53 (step @p240 :rule trans :premises (@p239 @p124 @p122)) % 15.92/16.53 (step @p241 :rule symm :premises (@p165)) % 15.92/16.53 (step @p242 :rule symm :premises (@p164)) % 15.92/16.53 (step @p243 :rule symm :premises (@p163)) % 15.92/16.53 (step @p244 :rule trans :premises (@p243 @p242 @p241 @p126 @p234 @p233 @p139 @p232)) % 15.92/16.53 (step @p245 :rule cong :premises (@p194 @p244) :args (@t71)) % 15.92/16.53 (step @p246 :rule trans :premises (@p245 @p231 @p229 @p228 @p223 @p221 @p220)) % 15.92/16.53 (step @p247 :rule cong :premises (@p246 @p240) :args (@t72)) % 15.92/16.53 (step @p248 :rule trans :premises (@p247 @p21)) % 15.92/16.53 (step @p249 :rule false_elim :premises (@p248)) % 15.92/16.53 (assume-push @p256 @t18) % 15.92/16.53 (step @p251 :rule instantiate :premises (@p8) :args ((@list @t48 @t57 @t44))) % 15.92/16.53 (step-pop @p257 :rule scope :premises (@p251)) % 15.92/16.53 (step @p252 :rule process_scope :premises (@p257) :args (@t72)) % 15.92/16.53 (step @p254 :rule implies_elim :premises (@p252)) % 15.92/16.53 (step @p255 false :rule chain_m_resolution :premises (@p254 @p249 @p8) :args (false (@list true false) (@list @t72 @t18))) % 15.92/16.53 ) % 15.92/16.53 % SZS output end Proof % 15.92/16.53 % cvc5 exiting %------------------------------------------------------------------------------