%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX217-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 09:07:23 AM UTC 2026 % Result : Unsatisfiable 0.71s 0.93s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX217-1 : TPTP v9.3.0. Released v9.3.0. % 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 : n017.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 23:08:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.71/0.93 % SZS status Unsatisfiable % 0.71/0.93 % SZS output start Proof % 0.71/0.94 ( % 0.71/0.94 (declare-sort $$unsorted 0) % 0.71/0.94 (declare-const tptp.eq (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.rd (-> $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.double (-> $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.append (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.half (-> $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.eq3 (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.shw (-> $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.o $$unsorted) % 0.71/0.94 (declare-const tptp.x (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.i $$unsorted) % 0.71/0.94 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.eq2 (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.btrue $$unsorted) % 0.71/0.94 (declare-const tptp.bfalse $$unsorted) % 0.71/0.94 (declare-const tptp.addNat (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.evenNat (-> $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.aux (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.nil $$unsorted) % 0.71/0.94 (declare-const tptp.notb (-> $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.sat_comm (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.94 (declare-const tptp.zero $$unsorted) % 0.71/0.94 (define @t1 () (@var "Y" $$unsorted)) % 0.71/0.94 (define @t2 () (tptp.suc @t1)) % 0.71/0.94 (define @t3 () (tptp.shw (tptp.half @t2))) % 0.71/0.94 (define @t4 () (@list @t1)) % 0.71/0.94 (define @t5 () (tptp.notb tptp.btrue)) % 0.71/0.94 (define @t6 () (tptp.notb tptp.bfalse)) % 0.71/0.94 (define @t7 () (tptp.half tptp.zero)) % 0.71/0.94 (define @t8 () (tptp.suc tptp.zero)) % 0.71/0.94 (define @t9 () (tptp.half @t8)) % 0.71/0.94 (define @t10 () (@var "N" $$unsorted)) % 0.71/0.94 (define @t11 () (tptp.suc @t10)) % 0.71/0.94 (define @t12 () (@list @t10)) % 0.71/0.94 (define @t13 () (tptp.shw tptp.zero)) % 0.71/0.94 (define @t14 () (tptp.append tptp.nil @t1)) % 0.71/0.94 (define @t15 () (forall @t4 (= @t14 @t1))) % 0.71/0.94 (define @t16 () (@var "Xs" $$unsorted)) % 0.71/0.94 (define @t17 () (@var "Z" $$unsorted)) % 0.71/0.94 (define @t18 () (tptp.addNat tptp.zero @t1)) % 0.71/0.94 (define @t19 () (forall @t4 (= @t18 @t1))) % 0.71/0.94 (define @t20 () (@var "X" $$unsorted)) % 0.71/0.94 (define @t21 () (@list @t20)) % 0.71/0.94 (define @t22 () (tptp.double (tptp.rd @t16))) % 0.71/0.94 (define @t23 () (@list @t16)) % 0.71/0.94 (define @t24 () (tptp.rd (tptp.cons tptp.o @t16))) % 0.71/0.94 (define @t25 () (forall @t23 (= @t24 @t22))) % 0.71/0.94 (define @t26 () (tptp.x @t20 @t1)) % 0.71/0.94 (define @t27 () (@list @t20 @t1)) % 0.71/0.94 (define @t28 () (tptp.sat_comm @t20 @t1)) % 0.71/0.94 (define @t29 () (tptp.suc @t20)) % 0.71/0.94 (define @t30 () (forall @t27 (= (tptp.eq @t29 @t2) (tptp.eq @t20 @t1)))) % 0.71/0.94 (define @t31 () (tptp.eq tptp.zero @t29)) % 0.71/0.94 (define @t32 () (forall @t21 (= @t31 tptp.bfalse))) % 0.71/0.94 (define @t33 () (tptp.eq @t29 tptp.zero)) % 0.71/0.94 (define @t34 () (forall @t21 (= @t33 tptp.bfalse))) % 0.71/0.94 (define @t35 () (tptp.eq2 @t20 @t20)) % 0.71/0.94 (define @t36 () (forall @t21 (= @t35 tptp.btrue))) % 0.71/0.94 (define @t37 () (tptp.eq2 @t28 tptp.bfalse)) % 0.71/0.94 (define @t38 () (not (= @t37 tptp.btrue))) % 0.71/0.94 (define @t39 () (forall @t27 @t38)) % 0.71/0.94 (define @t40 () (tptp.suc @t8)) % 0.71/0.94 (define @t41 () (@list @t40 @t8)) % 0.71/0.94 (define @t42 () (@list @t8 @t40)) % 0.71/0.94 (define @t43 () (tptp.shw @t40)) % 0.71/0.94 (define @t44 () (@list @t8)) % 0.71/0.94 (define @t45 () (tptp.suc @t40)) % 0.71/0.94 (define @t46 () (tptp.half @t45)) % 0.71/0.94 (define @t47 () (tptp.shw @t46)) % 0.71/0.94 (define @t48 () (tptp.append @t47 @t43)) % 0.71/0.94 (define @t49 () (@list tptp.zero)) % 0.71/0.94 (define @t50 () (tptp.shw @t9)) % 0.71/0.94 (define @t51 () (tptp.cons tptp.i @t50)) % 0.71/0.94 (define @t52 () (tptp.suc @t45)) % 0.71/0.94 (define @t53 () (tptp.suc @t52)) % 0.71/0.94 (define @t54 () (tptp.half @t53)) % 0.71/0.94 (define @t55 () (tptp.shw @t54)) % 0.71/0.94 (define @t56 () (@list @t40)) % 0.71/0.94 (define @t57 () (tptp.half @t52)) % 0.71/0.94 (define @t58 () (tptp.shw @t57)) % 0.71/0.94 (define @t59 () (tptp.cons tptp.i @t58)) % 0.71/0.94 (define @t60 () (tptp.shw @t8)) % 0.71/0.94 (define @t61 () (tptp.cons tptp.o @t47)) % 0.71/0.94 (define @t62 () (tptp.rd @t50)) % 0.71/0.94 (define @t63 () (@list @t62)) % 0.71/0.94 (define @t64 () (tptp.suc (tptp.double @t62))) % 0.71/0.94 (define @t65 () (tptp.shw @t64)) % 0.71/0.94 (define @t66 () (tptp.cons tptp.i @t47)) % 0.71/0.94 (define @t67 () (tptp.suc @t53)) % 0.71/0.94 (define @t68 () (tptp.shw (tptp.half (tptp.suc @t67)))) % 0.71/0.94 (define @t69 () (tptp.half @t67)) % 0.71/0.94 (define @t70 () (tptp.shw @t69)) % 0.71/0.94 (define @t71 () (tptp.cons tptp.o @t70)) % 0.71/0.94 (define @t72 () (tptp.rd @t70)) % 0.71/0.94 (define @t73 () (@list @t72)) % 0.71/0.94 (define @t74 () (@list @t47)) % 0.71/0.94 (define @t75 () (tptp.rd @t58)) % 0.71/0.94 (define @t76 () (tptp.rd @t47)) % 0.71/0.94 (define @t77 () (@list @t76)) % 0.71/0.94 (define @t78 () (tptp.double @t75)) % 0.71/0.94 (define @t79 () (tptp.addNat @t40 @t72)) % 0.71/0.94 (define @t80 () (@list @t75)) % 0.71/0.94 (define @t81 () (tptp.addNat tptp.zero @t76)) % 0.71/0.94 (define @t82 () (tptp.suc @t69)) % 0.71/0.94 (define @t83 () (tptp.addNat @t8 @t72)) % 0.71/0.94 (define @t84 () (tptp.eq @t45 @t40)) % 0.71/0.94 (define @t85 () (tptp.eq @t40 @t8)) % 0.71/0.94 (define @t86 () (= @t84 @t85)) % 0.71/0.94 (define @t87 () (@list false)) % 0.71/0.94 (define @t88 () (@list @t30)) % 0.71/0.94 (define @t89 () (tptp.eq @t8 tptp.zero)) % 0.71/0.94 (define @t90 () (= @t85 @t89)) % 0.71/0.94 (define @t91 () (tptp.eq2 tptp.bfalse tptp.bfalse)) % 0.71/0.94 (define @t92 () (= tptp.btrue @t91)) % 0.71/0.94 (define @t93 () (forall @t21 (= tptp.btrue @t35))) % 0.71/0.94 (assume @p1 (forall @t4 (= (tptp.aux @t1 tptp.btrue) (tptp.cons tptp.o @t3)))) % 0.71/0.94 (assume @p2 (forall @t4 (= (tptp.aux @t1 tptp.bfalse) (tptp.cons tptp.i @t3)))) % 0.71/0.94 (assume @p3 (= @t5 tptp.bfalse)) % 0.71/0.94 (assume @p4 (= @t6 tptp.btrue)) % 0.71/0.94 (assume @p5 (= @t7 tptp.zero)) % 0.71/0.94 (assume @p6 (= @t9 tptp.zero)) % 0.71/0.94 (assume @p7 (forall @t12 (= (tptp.half (tptp.suc @t11)) (tptp.suc (tptp.half @t10))))) % 0.71/0.94 (assume @p8 (= (tptp.evenNat tptp.zero) tptp.btrue)) % 0.71/0.94 (assume @p9 (forall @t12 (= (tptp.evenNat @t11) (tptp.notb (tptp.evenNat @t10))))) % 0.71/0.94 (assume @p10 (= @t13 tptp.nil)) % 0.71/0.94 (assume @p11 (forall @t4 (= (tptp.shw @t2) (tptp.aux @t1 (tptp.evenNat @t2))))) % 0.71/0.94 (assume @p12 @t15) % 0.71/0.94 (assume @p13 (forall (@list @t17 @t16 @t1) (= (tptp.append (tptp.cons @t17 @t16) @t1) (tptp.cons @t17 (tptp.append @t16 @t1))))) % 0.71/0.94 (assume @p14 @t19) % 0.71/0.94 (assume @p15 (forall (@list @t17 @t1) (= (tptp.addNat (tptp.suc @t17) @t1) (tptp.suc (tptp.addNat @t17 @t1))))) % 0.71/0.94 (assume @p16 (forall @t21 (= (tptp.double @t20) (tptp.addNat @t20 @t20)))) % 0.71/0.94 (assume @p17 (= (tptp.rd tptp.nil) tptp.zero)) % 0.71/0.94 (assume @p18 (forall @t23 (= (tptp.rd (tptp.cons tptp.i @t16)) (tptp.suc @t22)))) % 0.71/0.94 (assume @p19 @t25) % 0.71/0.94 (assume @p20 (forall @t27 (= @t26 (tptp.rd (tptp.append (tptp.shw @t20) (tptp.shw @t1)))))) % 0.71/0.94 (assume @p21 (forall @t27 (= @t28 (tptp.eq @t26 (tptp.x @t1 @t20))))) % 0.71/0.94 (assume @p22 (= (tptp.eq2 tptp.bfalse tptp.btrue) tptp.bfalse)) % 0.71/0.94 (assume @p23 (= (tptp.eq2 tptp.btrue tptp.bfalse) tptp.bfalse)) % 0.71/0.94 (assume @p24 (= (tptp.eq3 tptp.i tptp.o) tptp.bfalse)) % 0.71/0.94 (assume @p25 (= (tptp.eq3 tptp.o tptp.i) tptp.bfalse)) % 0.71/0.94 (assume @p26 @t30) % 0.71/0.94 (assume @p27 @t32) % 0.71/0.94 (assume @p28 @t34) % 0.71/0.94 (assume @p29 (forall @t21 (= (tptp.eq @t20 @t20) tptp.btrue))) % 0.71/0.94 (assume @p30 @t36) % 0.71/0.94 (assume @p31 (forall @t21 (= (tptp.eq3 @t20 @t20) tptp.btrue))) % 0.71/0.94 (assume @p32 @t39) % 0.71/0.94 (step @p33 :rule eq-symm :args (@t35 tptp.btrue)) % 0.71/0.94 (step @p34 :rule cong :premises (@p33) :args (@t36)) % 0.71/0.94 (step @p35 :rule eq_resolve :premises (@p30 @p34)) % 0.71/0.94 (step @p36 :rule eq-symm :args (@t37 tptp.btrue)) % 0.71/0.94 (step @p37 :rule cong :premises (@p36) :args (@t38)) % 0.71/0.94 (step @p38 :rule cong :premises (@p37) :args (@t39)) % 0.71/0.94 (step @p39 :rule eq_resolve :premises (@p32 @p38)) % 0.71/0.94 (step @p40 :rule instantiate :premises (@p39) :args (@t41)) % 0.71/0.94 (step @p41 :rule false_intro :premises (@p40)) % 0.71/0.94 (step @p42 :rule refl :args (tptp.bfalse)) % 0.71/0.94 (step @p43 :rule instantiate :premises (@p21) :args (@t41)) % 0.71/0.94 (step @p44 :rule symm :premises (@p43)) % 0.71/0.94 (step @p45 :rule instantiate :premises (@p20) :args (@t42)) % 0.71/0.94 (step @p46 :rule symm :premises (@p45)) % 0.71/0.94 (step @p47 :rule refl :args (@t43)) % 0.71/0.94 (step @p48 :rule cong :premises (@p6) :args ((tptp.suc @t9))) % 0.71/0.94 (step @p49 :rule instantiate :premises (@p7) :args (@t44)) % 0.71/0.94 (step @p50 :rule trans :premises (@p49 @p48)) % 0.71/0.94 (step @p51 :rule cong :premises (@p50) :args (@t47)) % 0.71/0.94 (step @p52 :rule cong :premises (@p51 @p47) :args (@t48)) % 0.71/0.94 (step @p53 :rule cong :premises (@p52) :args ((tptp.rd @t48))) % 0.71/0.94 (step @p54 :rule symm :premises (@p51)) % 0.71/0.94 (step @p55 :rule instantiate :premises (@p11) :args (@t49)) % 0.71/0.94 (step @p56 :rule symm :premises (@p55)) % 0.71/0.94 (step @p57 :rule instantiate :premises (@p9) :args (@t49)) % 0.71/0.94 (step @p58 :rule symm :premises (@p57)) % 0.71/0.94 (step @p59 :rule symm :premises (@p8)) % 0.71/0.94 (step @p60 :rule cong :premises (@p59) :args (@t5)) % 0.71/0.94 (step @p61 :rule symm :premises (@p3)) % 0.71/0.94 (step @p62 :rule trans :premises (@p61 @p60 @p58)) % 0.71/0.94 (step @p63 :rule refl :args (tptp.zero)) % 0.71/0.94 (step @p64 :rule cong :premises (@p63 @p62) :args ((tptp.aux tptp.zero tptp.bfalse))) % 0.71/0.94 (step @p65 :rule instantiate :premises (@p2) :args (@t49)) % 0.71/0.94 (step @p66 :rule symm :premises (@p65)) % 0.71/0.94 (step @p67 :rule trans :premises (@p66 @p64 @p56)) % 0.71/0.94 (step @p68 :rule trans :premises (@p67 @p54)) % 0.71/0.94 (step @p69 :rule cong :premises (@p68 @p47) :args ((tptp.append @t51 @t43))) % 0.71/0.94 (step @p70 :rule instantiate :premises (@p13) :args ((@list tptp.i @t50 @t43))) % 0.71/0.94 (step @p71 :rule symm :premises (@p70)) % 0.71/0.94 (step @p72 :rule trans :premises (@p71 @p69)) % 0.71/0.94 (step @p73 :rule cong :premises (@p72) :args ((tptp.rd (tptp.cons tptp.i (tptp.append @t50 @t43))))) % 0.71/0.94 (step @p74 :rule symm :premises (@p6)) % 0.71/0.94 (step @p75 :rule cong :premises (@p74) :args (@t13)) % 0.71/0.94 (step @p76 :rule symm :premises (@p10)) % 0.71/0.94 (step @p77 :rule trans :premises (@p76 @p75)) % 0.71/0.94 (step @p78 :rule cong :premises (@p77 @p47) :args ((tptp.append tptp.nil @t43))) % 0.71/0.94 (step @p79 :rule eq-symm :args (@t14 @t1)) % 0.71/0.94 (step @p80 :rule cong :premises (@p79) :args (@t15)) % 0.71/0.94 (step @p81 :rule eq_resolve :premises (@p12 @p80)) % 0.71/0.94 (step @p82 :rule instantiate :premises (@p81) :args ((@list @t43))) % 0.71/0.94 (step @p83 :rule cong :premises (@p50) :args ((tptp.suc @t46))) % 0.71/0.94 (step @p84 :rule instantiate :premises (@p7) :args ((@list @t45))) % 0.71/0.94 (step @p85 :rule trans :premises (@p84 @p83)) % 0.71/0.94 (step @p86 :rule cong :premises (@p85) :args (@t55)) % 0.71/0.94 (step @p87 :rule trans :premises (@p86 @p82 @p78)) % 0.71/0.94 (step @p88 :rule refl :args (tptp.i)) % 0.71/0.94 (step @p89 :rule cong :premises (@p88 @p87) :args ((tptp.cons tptp.i @t55))) % 0.71/0.94 (step @p90 :rule symm :premises (@p86)) % 0.71/0.94 (step @p91 :rule cong :premises (@p5) :args ((tptp.suc @t7))) % 0.71/0.94 (step @p92 :rule instantiate :premises (@p7) :args (@t49)) % 0.71/0.94 (step @p93 :rule trans :premises (@p92 @p91)) % 0.71/0.94 (step @p94 :rule cong :premises (@p93) :args ((tptp.suc (tptp.half @t40)))) % 0.71/0.94 (step @p95 :rule instantiate :premises (@p7) :args (@t56)) % 0.71/0.94 (step @p96 :rule trans :premises (@p95 @p94)) % 0.71/0.94 (step @p97 :rule cong :premises (@p96) :args (@t58)) % 0.71/0.94 (step @p98 :rule trans :premises (@p97 @p90)) % 0.71/0.94 (step @p99 :rule cong :premises (@p88 @p98) :args (@t59)) % 0.71/0.94 (step @p100 :rule trans :premises (@p99 @p89)) % 0.71/0.94 (step @p101 :rule cong :premises (@p100) :args ((tptp.rd @t59))) % 0.71/0.94 (step @p102 :rule instantiate :premises (@p18) :args ((@list @t58))) % 0.71/0.94 (step @p103 :rule symm :premises (@p102)) % 0.71/0.94 (step @p104 :rule trans :premises (@p103 @p101 @p73 @p53 @p46)) % 0.71/0.94 (step @p105 :rule instantiate :premises (@p20) :args (@t41)) % 0.71/0.94 (step @p106 :rule symm :premises (@p105)) % 0.71/0.94 (step @p107 :rule refl :args (@t60)) % 0.71/0.94 (step @p108 :rule instantiate :premises (@p11) :args (@t44)) % 0.71/0.94 (step @p109 :rule symm :premises (@p108)) % 0.71/0.94 (step @p110 :rule instantiate :premises (@p9) :args (@t44)) % 0.71/0.94 (step @p111 :rule symm :premises (@p110)) % 0.71/0.94 (step @p112 :rule cong :premises (@p62) :args (@t6)) % 0.71/0.94 (step @p113 :rule symm :premises (@p4)) % 0.71/0.94 (step @p114 :rule trans :premises (@p113 @p112 @p111)) % 0.71/0.94 (step @p115 :rule refl :args (@t8)) % 0.71/0.94 (step @p116 :rule cong :premises (@p115 @p114) :args ((tptp.aux @t8 tptp.btrue))) % 0.71/0.94 (step @p117 :rule instantiate :premises (@p1) :args (@t44)) % 0.71/0.94 (step @p118 :rule symm :premises (@p117)) % 0.71/0.94 (step @p119 :rule symm :premises (@p93)) % 0.71/0.94 (step @p120 :rule cong :premises (@p119) :args (@t60)) % 0.71/0.94 (step @p121 :rule trans :premises (@p51 @p120)) % 0.71/0.94 (step @p122 :rule refl :args (tptp.o)) % 0.71/0.94 (step @p123 :rule cong :premises (@p122 @p121) :args (@t61)) % 0.71/0.94 (step @p124 :rule trans :premises (@p123 @p118 @p116 @p109)) % 0.71/0.94 (step @p125 :rule cong :premises (@p124 @p107) :args ((tptp.append @t61 @t60))) % 0.71/0.94 (step @p126 :rule instantiate :premises (@p13) :args ((@list tptp.o @t47 @t60))) % 0.71/0.94 (step @p127 :rule symm :premises (@p126)) % 0.71/0.94 (step @p128 :rule symm :premises (@p77)) % 0.71/0.94 (step @p129 :rule cong :premises (@p128) :args (@t62)) % 0.71/0.94 (step @p130 :rule eq-symm :args (@t18 @t1)) % 0.71/0.94 (step @p131 :rule cong :premises (@p130) :args (@t19)) % 0.71/0.94 (step @p132 :rule eq_resolve :premises (@p14 @p131)) % 0.71/0.94 (step @p133 :rule instantiate :premises (@p132) :args (@t63)) % 0.71/0.94 (step @p134 :rule symm :premises (@p133)) % 0.71/0.94 (step @p135 :rule refl :args (@t62)) % 0.71/0.94 (step @p136 :rule trans :premises (@p129 @p17)) % 0.71/0.94 (step @p137 :rule cong :premises (@p136 @p135) :args ((tptp.addNat @t62 @t62))) % 0.71/0.94 (step @p138 :rule instantiate :premises (@p16) :args (@t63)) % 0.71/0.94 (step @p139 :rule trans :premises (@p138 @p137 @p134 @p129 @p17)) % 0.71/0.94 (step @p140 :rule cong :premises (@p139) :args (@t64)) % 0.71/0.94 (step @p141 :rule cong :premises (@p140) :args (@t65)) % 0.71/0.94 (step @p142 :rule trans :premises (@p141 @p54)) % 0.71/0.94 (step @p143 :rule cong :premises (@p142 @p141) :args ((tptp.append @t65 @t65))) % 0.71/0.94 (step @p144 :rule symm :premises (@p141)) % 0.71/0.94 (step @p145 :rule trans :premises (@p67 @p144)) % 0.71/0.94 (step @p146 :rule cong :premises (@p145 @p144) :args ((tptp.append @t51 @t60))) % 0.71/0.94 (step @p147 :rule instantiate :premises (@p13) :args ((@list tptp.i @t50 @t60))) % 0.71/0.94 (step @p148 :rule symm :premises (@p147)) % 0.71/0.94 (step @p149 :rule cong :premises (@p77 @p107) :args ((tptp.append tptp.nil @t60))) % 0.71/0.94 (step @p150 :rule instantiate :premises (@p81) :args ((@list @t60))) % 0.71/0.94 (step @p151 :rule trans :premises (@p51 @p150 @p149)) % 0.71/0.94 (step @p152 :rule cong :premises (@p88 @p151) :args (@t66)) % 0.71/0.94 (step @p153 :rule instantiate :premises (@p2) :args (@t56)) % 0.71/0.94 (step @p154 :rule symm :premises (@p114)) % 0.71/0.94 (step @p155 :rule cong :premises (@p154) :args ((tptp.notb (tptp.evenNat @t40)))) % 0.71/0.94 (step @p156 :rule instantiate :premises (@p9) :args (@t56)) % 0.71/0.94 (step @p157 :rule trans :premises (@p156 @p155 @p3)) % 0.71/0.94 (step @p158 :rule refl :args (@t40)) % 0.71/0.94 (step @p159 :rule cong :premises (@p158 @p157) :args ((tptp.aux @t40 (tptp.evenNat @t45)))) % 0.71/0.94 (step @p160 :rule instantiate :premises (@p11) :args (@t56)) % 0.71/0.94 (step @p161 :rule cong :premises (@p85) :args ((tptp.suc @t54))) % 0.71/0.94 (step @p162 :rule instantiate :premises (@p7) :args ((@list @t53))) % 0.71/0.94 (step @p163 :rule trans :premises (@p162 @p161)) % 0.71/0.94 (step @p164 :rule cong :premises (@p163) :args (@t68)) % 0.71/0.94 (step @p165 :rule trans :premises (@p164 @p160 @p159 @p153 @p152 @p148 @p146 @p143)) % 0.71/0.94 (step @p166 :rule cong :premises (@p122 @p165) :args ((tptp.cons tptp.o @t68))) % 0.71/0.94 (step @p167 :rule symm :premises (@p164)) % 0.71/0.94 (step @p168 :rule cong :premises (@p96) :args ((tptp.suc @t57))) % 0.71/0.94 (step @p169 :rule instantiate :premises (@p7) :args ((@list @t52))) % 0.71/0.94 (step @p170 :rule trans :premises (@p169 @p168)) % 0.71/0.94 (step @p171 :rule cong :premises (@p170) :args (@t70)) % 0.71/0.94 (step @p172 :rule trans :premises (@p171 @p167)) % 0.71/0.94 (step @p173 :rule cong :premises (@p122 @p172) :args (@t71)) % 0.71/0.94 (step @p174 :rule trans :premises (@p173 @p166 @p127 @p125)) % 0.71/0.94 (step @p175 :rule cong :premises (@p174) :args ((tptp.rd @t71))) % 0.71/0.94 (step @p176 :rule eq-symm :args (@t24 @t22)) % 0.71/0.94 (step @p177 :rule cong :premises (@p176) :args (@t25)) % 0.71/0.94 (step @p178 :rule eq_resolve :premises (@p19 @p177)) % 0.71/0.94 (step @p179 :rule instantiate :premises (@p178) :args ((@list @t70))) % 0.71/0.94 (step @p180 :rule trans :premises (@p179 @p175 @p106)) % 0.71/0.94 (step @p181 :rule instantiate :premises (@p16) :args (@t73)) % 0.71/0.94 (step @p182 :rule symm :premises (@p181)) % 0.71/0.94 (step @p183 :rule refl :args (@t72)) % 0.71/0.94 (step @p184 :rule symm :premises (@p171)) % 0.71/0.94 (step @p185 :rule symm :premises (@p160)) % 0.71/0.94 (step @p186 :rule symm :premises (@p159)) % 0.71/0.94 (step @p187 :rule symm :premises (@p153)) % 0.71/0.94 (step @p188 :rule trans :premises (@p187 @p186 @p185 @p184)) % 0.71/0.94 (step @p189 :rule cong :premises (@p188) :args ((tptp.rd @t66))) % 0.71/0.94 (step @p190 :rule instantiate :premises (@p18) :args (@t74)) % 0.71/0.94 (step @p191 :rule symm :premises (@p190)) % 0.71/0.94 (step @p192 :rule instantiate :premises (@p178) :args (@t74)) % 0.71/0.94 (step @p193 :rule symm :premises (@p192)) % 0.71/0.94 (step @p194 :rule symm :premises (@p123)) % 0.71/0.94 (step @p195 :rule symm :premises (@p116)) % 0.71/0.94 (step @p196 :rule trans :premises (@p97 @p108 @p195 @p117 @p194)) % 0.71/0.94 (step @p197 :rule cong :premises (@p196) :args (@t75)) % 0.71/0.94 (step @p198 :rule trans :premises (@p197 @p193)) % 0.71/0.94 (step @p199 :rule cong :premises (@p198) :args ((tptp.suc @t75))) % 0.71/0.94 (step @p200 :rule trans :premises (@p199 @p191 @p189)) % 0.71/0.94 (step @p201 :rule symm :premises (@p199)) % 0.71/0.94 (step @p202 :rule instantiate :premises (@p16) :args (@t77)) % 0.71/0.94 (step @p203 :rule symm :premises (@p202)) % 0.71/0.94 (step @p204 :rule refl :args (@t76)) % 0.71/0.94 (step @p205 :rule cong :premises (@p68) :args ((tptp.rd @t51))) % 0.71/0.94 (step @p206 :rule instantiate :premises (@p18) :args ((@list @t50))) % 0.71/0.94 (step @p207 :rule symm :premises (@p206)) % 0.71/0.94 (step @p208 :rule symm :premises (@p140)) % 0.71/0.94 (step @p209 :rule cong :premises (@p136) :args ((tptp.suc @t62))) % 0.71/0.94 (step @p210 :rule trans :premises (@p209 @p208 @p207 @p205)) % 0.71/0.94 (step @p211 :rule symm :premises (@p209)) % 0.71/0.94 (step @p212 :rule trans :premises (@p211 @p210)) % 0.71/0.94 (step @p213 :rule cong :premises (@p212 @p204) :args ((tptp.addNat @t8 @t76))) % 0.71/0.94 (step @p214 :rule instantiate :premises (@p15) :args ((@list tptp.zero @t76))) % 0.71/0.94 (step @p215 :rule symm :premises (@p214)) % 0.71/0.94 (step @p216 :rule instantiate :premises (@p132) :args (@t77)) % 0.71/0.94 (step @p217 :rule trans :premises (@p208 @p207 @p205 @p216)) % 0.71/0.94 (step @p218 :rule cong :premises (@p217) :args (@t40)) % 0.71/0.94 (step @p219 :rule trans :premises (@p218 @p215 @p213 @p203)) % 0.71/0.94 (step @p220 :rule cong :premises (@p219) :args (@t45)) % 0.71/0.94 (step @p221 :rule trans :premises (@p220 @p201)) % 0.71/0.94 (step @p222 :rule trans :premises (@p221 @p200)) % 0.71/0.94 (step @p223 :rule cong :premises (@p222 @p183) :args ((tptp.addNat @t45 @t72))) % 0.71/0.94 (step @p224 :rule instantiate :premises (@p15) :args ((@list @t40 @t72))) % 0.71/0.94 (step @p225 :rule symm :premises (@p224)) % 0.71/0.94 (step @p226 :rule trans :premises (@p225 @p223 @p182)) % 0.71/0.94 (step @p227 :rule trans :premises (@p226 @p180)) % 0.71/0.94 (step @p228 :rule cong :premises (@p227 @p104) :args ((tptp.eq (tptp.suc @t79) (tptp.suc @t78)))) % 0.71/0.94 (step @p229 :rule instantiate :premises (@p26) :args ((@list @t79 @t78))) % 0.71/0.94 (step @p230 :rule symm :premises (@p229)) % 0.71/0.94 (step @p231 :rule instantiate :premises (@p16) :args (@t80)) % 0.71/0.94 (step @p232 :rule symm :premises (@p231)) % 0.71/0.94 (step @p233 :rule refl :args (@t75)) % 0.71/0.94 (step @p234 :rule symm :premises (@p197)) % 0.71/0.94 (step @p235 :rule trans :premises (@p215 @p213 @p203 @p192 @p234)) % 0.71/0.94 (step @p236 :rule cong :premises (@p235 @p233) :args ((tptp.addNat (tptp.suc @t81) @t75))) % 0.71/0.94 (step @p237 :rule instantiate :premises (@p15) :args ((@list @t81 @t75))) % 0.71/0.94 (step @p238 :rule symm :premises (@p237)) % 0.71/0.94 (step @p239 :rule cong :premises (@p217 @p233) :args ((tptp.addNat @t8 @t75))) % 0.71/0.94 (step @p240 :rule instantiate :premises (@p15) :args ((@list tptp.zero @t75))) % 0.71/0.94 (step @p241 :rule symm :premises (@p240)) % 0.71/0.94 (step @p242 :rule trans :premises (@p241 @p239)) % 0.71/0.94 (step @p243 :rule cong :premises (@p242) :args ((tptp.suc (tptp.suc (tptp.addNat tptp.zero @t75))))) % 0.71/0.94 (step @p244 :rule instantiate :premises (@p132) :args (@t80)) % 0.71/0.94 (step @p245 :rule trans :premises (@p218 @p215 @p213 @p203 @p192 @p234 @p244)) % 0.71/0.94 (step @p246 :rule cong :premises (@p245) :args (@t45)) % 0.71/0.94 (step @p247 :rule trans :premises (@p169 @p168 @p246)) % 0.71/0.94 (step @p248 :rule cong :premises (@p247) :args (@t82)) % 0.71/0.94 (step @p249 :rule symm :premises (@p170)) % 0.71/0.94 (step @p250 :rule cong :premises (@p249) :args (@t52)) % 0.71/0.94 (step @p251 :rule trans :premises (@p250 @p248 @p243 @p238 @p236 @p232)) % 0.71/0.94 (step @p252 :rule instantiate :premises (@p15) :args ((@list @t8 @t72))) % 0.71/0.94 (step @p253 :rule symm :premises (@p252)) % 0.71/0.94 (step @p254 :rule cong :premises (@p253 @p251) :args ((tptp.eq (tptp.suc @t83) @t52))) % 0.71/0.94 (step @p255 :rule instantiate :premises (@p26) :args ((@list @t83 @t45))) % 0.71/0.94 (step @p256 :rule symm :premises (@p255)) % 0.71/0.94 (step @p257 :rule refl :args (@t45)) % 0.71/0.94 (step @p258 :rule instantiate :premises (@p15) :args ((@list tptp.zero @t72))) % 0.71/0.94 (step @p259 :rule symm :premises (@p258)) % 0.71/0.94 (step @p260 :rule cong :premises (@p259 @p257) :args ((tptp.eq (tptp.suc (tptp.addNat tptp.zero @t72)) @t45))) % 0.71/0.94 (step @p261 :rule instantiate :premises (@p132) :args (@t73)) % 0.71/0.94 (step @p262 :rule trans :premises (@p169 @p168 @p220 @p191 @p189 @p261)) % 0.71/0.94 (step @p263 :rule cong :premises (@p262) :args (@t82)) % 0.71/0.94 (step @p264 :rule symm :premises (@p248)) % 0.71/0.94 (step @p265 :rule symm :premises (@p243)) % 0.71/0.94 (step @p266 :rule symm :premises (@p236)) % 0.71/0.94 (step @p267 :rule trans :premises (@p231 @p266 @p237 @p265 @p264 @p263 @p259)) % 0.71/0.94 (step @p268 :rule trans :premises (@p267 @p258)) % 0.71/0.94 (step @p269 :rule cong :premises (@p268 @p257) :args ((tptp.eq @t78 @t45))) % 0.71/0.94 (step @p270 :rule cong :premises (@p251 @p257) :args ((tptp.eq @t52 @t45))) % 0.71/0.94 (step @p271 :rule instantiate :premises (@p26) :args ((@list @t45 @t40))) % 0.71/0.94 (step @p272 :rule symm :premises (@p271)) % 0.71/0.94 (step @p273 :rule eq-symm :args (@t84 @t85)) % 0.71/0.94 (step @p274 :rule refl :args (@t30)) % 0.71/0.94 (step @p275 :rule cong :premises (@p274 @p273) :args ((=> @t30 @t86))) % 0.71/0.94 (assume-push @p332 @t30) % 0.71/0.94 (step @p277 :rule instantiate :premises (@p26) :args (@t41)) % 0.71/0.94 (step-pop @p333 :rule scope :premises (@p277)) % 0.71/0.94 (step @p278 :rule process_scope :premises (@p333) :args (@t86)) % 0.71/0.94 (step @p280 :rule eq_resolve :premises (@p278 @p275)) % 0.71/0.94 (step @p281 :rule implies_elim :premises (@p280)) % 0.71/0.94 (step @p282 :rule chain_m_resolution :premises (@p281 @p26) :args ((= @t85 @t84) @t87 @t88)) % 0.71/0.94 (step @p283 :rule eq-symm :args (@t85 @t89)) % 0.71/0.94 (step @p284 :rule cong :premises (@p274 @p283) :args ((=> @t30 @t90))) % 0.71/0.94 (assume-push @p334 @t30) % 0.71/0.94 (step @p286 :rule instantiate :premises (@p26) :args ((@list @t8 tptp.zero))) % 0.71/0.94 (step-pop @p335 :rule scope :premises (@p286)) % 0.71/0.94 (step @p287 :rule process_scope :premises (@p335) :args (@t90)) % 0.71/0.94 (step @p289 :rule eq_resolve :premises (@p287 @p284)) % 0.71/0.94 (step @p290 :rule implies_elim :premises (@p289)) % 0.71/0.94 (step @p291 :rule chain_m_resolution :premises (@p290 @p26) :args ((= @t89 @t85) @t87 @t88)) % 0.71/0.94 (step @p292 :rule eq-symm :args (@t33 tptp.bfalse)) % 0.71/0.94 (step @p293 :rule cong :premises (@p292) :args (@t34)) % 0.71/0.94 (step @p294 :rule eq_resolve :premises (@p28 @p293)) % 0.71/0.94 (step @p295 :rule instantiate :premises (@p294) :args (@t49)) % 0.71/0.94 (step @p296 :rule trans :premises (@p295 @p291 @p282 @p272 @p270 @p269 @p260 @p256 @p254 @p230 @p228 @p44)) % 0.71/0.94 (step @p297 :rule eq-symm :args (@t31 tptp.bfalse)) % 0.71/0.94 (step @p298 :rule cong :premises (@p297) :args (@t32)) % 0.71/0.94 (step @p299 :rule eq_resolve :premises (@p27 @p298)) % 0.71/0.94 (step @p300 :rule instantiate :premises (@p299) :args (@t49)) % 0.71/0.94 (step @p301 :rule symm :premises (@p300)) % 0.71/0.94 (step @p302 :rule instantiate :premises (@p26) :args ((@list tptp.zero @t8))) % 0.71/0.94 (step @p303 :rule instantiate :premises (@p26) :args (@t42)) % 0.71/0.94 (step @p304 :rule instantiate :premises (@p26) :args ((@list @t40 @t45))) % 0.71/0.94 (step @p305 :rule symm :premises (@p251)) % 0.71/0.94 (step @p306 :rule cong :premises (@p257 @p305) :args ((tptp.eq @t45 @t78))) % 0.71/0.94 (step @p307 :rule symm :premises (@p267)) % 0.71/0.94 (step @p308 :rule cong :premises (@p257 @p307) :args ((tptp.eq @t45 @t83))) % 0.71/0.94 (step @p309 :rule instantiate :premises (@p26) :args ((@list @t45 @t83))) % 0.71/0.94 (step @p310 :rule cong :premises (@p305 @p252) :args ((tptp.eq @t78 @t79))) % 0.71/0.94 (step @p311 :rule instantiate :premises (@p26) :args ((@list @t78 @t79))) % 0.71/0.94 (step @p312 :rule symm :premises (@p227)) % 0.71/0.94 (step @p313 :rule symm :premises (@p104)) % 0.71/0.94 (step @p314 :rule cong :premises (@p313 @p312) :args ((tptp.eq (tptp.x @t8 @t40) (tptp.x @t40 @t8)))) % 0.71/0.94 (step @p315 :rule instantiate :premises (@p21) :args (@t42)) % 0.71/0.94 (step @p316 :rule trans :premises (@p315 @p314 @p311 @p310 @p309 @p308 @p306 @p304 @p303 @p302 @p301)) % 0.71/0.94 (step @p317 :rule trans :premises (@p316 @p296)) % 0.71/0.94 (step @p318 :rule cong :premises (@p317 @p42) :args ((tptp.eq2 (tptp.sat_comm @t8 @t40) tptp.bfalse))) % 0.71/0.94 (step @p319 :rule symm :premises (@p316)) % 0.71/0.94 (step @p320 :rule cong :premises (@p319 @p42) :args (@t91)) % 0.71/0.94 (step @p321 :rule trans :premises (@p320 @p318)) % 0.71/0.94 (step @p322 :rule refl :args (tptp.btrue)) % 0.71/0.94 (step @p323 :rule cong :premises (@p322 @p321) :args (@t92)) % 0.71/0.94 (step @p324 :rule trans :premises (@p323 @p41)) % 0.71/0.94 (step @p325 :rule false_elim :premises (@p324)) % 0.71/0.94 (assume-push @p336 @t93) % 0.71/0.94 (step @p327 :rule instantiate :premises (@p35) :args ((@list tptp.bfalse))) % 0.71/0.94 (step-pop @p337 :rule scope :premises (@p327)) % 0.71/0.94 (step @p328 :rule process_scope :premises (@p337) :args (@t92)) % 0.71/0.94 (step @p330 :rule implies_elim :premises (@p328)) % 0.71/0.94 (step @p331 false :rule chain_m_resolution :premises (@p330 @p325 @p35) :args (false (@list true false) (@list @t92 @t93))) % 0.71/0.94 ) % 0.71/0.95 % SZS output end Proof % 0.71/0.95 % cvc5 exiting %------------------------------------------------------------------------------