%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM521+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 : 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 08:39:42 AM UTC 2026 % Result : Theorem 0.36s 0.61s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM521+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 11:27:28 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.61 % SZS status Theorem % 0.36/0.61 % SZS output start Proof % 0.36/0.61 ( % 0.36/0.61 (declare-sort $$unsorted 0) % 0.36/0.61 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.xm $$unsorted) % 0.36/0.61 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.xn $$unsorted) % 0.36/0.61 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.sz00 $$unsorted) % 0.36/0.61 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.61 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 0.36/0.61 (declare-const tptp.sz10 $$unsorted) % 0.36/0.61 (declare-const tptp.xp $$unsorted) % 0.36/0.61 (define @t1 () (@var "W0" $$unsorted)) % 0.36/0.61 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.36/0.61 (define @t3 () (@list @t1)) % 0.36/0.61 (define @t4 () (@var "W1" $$unsorted)) % 0.36/0.61 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.36/0.61 (define @t6 () (tptp.aNaturalNumber0 @t4)) % 0.36/0.61 (define @t7 () (and @t2 @t6)) % 0.36/0.61 (define @t8 () (@list @t1 @t4)) % 0.36/0.61 (define @t9 () (tptp.sdtasdt0 @t1 @t4)) % 0.36/0.61 (define @t10 () (tptp.sdtpldt0 @t4 @t1)) % 0.36/0.61 (define @t11 () (@var "W2" $$unsorted)) % 0.36/0.61 (define @t12 () (tptp.sdtpldt0 @t4 @t11)) % 0.36/0.61 (define @t13 () (tptp.sdtpldt0 @t5 @t11)) % 0.36/0.61 (define @t14 () (tptp.aNaturalNumber0 @t11)) % 0.36/0.61 (define @t15 () (and @t2 @t6 @t14)) % 0.36/0.61 (define @t16 () (@list @t1 @t4 @t11)) % 0.36/0.61 (define @t17 () (tptp.sdtasdt0 @t4 @t1)) % 0.36/0.61 (define @t18 () (tptp.sdtasdt0 @t11 @t1)) % 0.36/0.61 (define @t19 () (tptp.sdtasdt0 @t1 @t11)) % 0.36/0.61 (define @t20 () (= @t4 @t11)) % 0.36/0.61 (define @t21 () (tptp.sdtpldt0 @t11 @t1)) % 0.36/0.61 (define @t22 () (tptp.sdtpldt0 @t1 @t11)) % 0.36/0.61 (define @t23 () (= @t17 @t18)) % 0.36/0.61 (define @t24 () (= @t9 @t19)) % 0.36/0.61 (define @t25 () (= @t1 tptp.sz00)) % 0.36/0.61 (define @t26 () (not @t25)) % 0.36/0.61 (define @t27 () (= @t4 tptp.sz00)) % 0.36/0.61 (define @t28 () (and @t14 (= @t22 @t4))) % 0.36/0.61 (define @t29 () (@list @t11)) % 0.36/0.61 (define @t30 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.36/0.61 (define @t31 () (= @t1 @t4)) % 0.36/0.61 (define @t32 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.36/0.61 (define @t33 () (tptp.sdtlseqdt0 @t4 @t11)) % 0.36/0.61 (define @t34 () (= @t4 @t1)) % 0.36/0.61 (define @t35 () (not @t34)) % 0.36/0.61 (define @t36 () (and @t35 @t32)) % 0.36/0.61 (define @t37 () (or @t30 @t36)) % 0.36/0.61 (define @t38 () (=> @t7 @t37)) % 0.36/0.61 (define @t39 () (forall @t8 @t38)) % 0.36/0.61 (define @t40 () (tptp.sdtpldt0 @t11 @t4)) % 0.36/0.61 (define @t41 () (not @t31)) % 0.36/0.61 (define @t42 () (and @t41 @t30)) % 0.36/0.61 (define @t43 () (= @t1 tptp.sz10)) % 0.36/0.61 (define @t44 () (tptp.iLess0 @t1 @t4)) % 0.36/0.61 (define @t45 () (and @t14 (= @t4 @t19))) % 0.36/0.61 (define @t46 () (tptp.doDivides0 @t1 @t4)) % 0.36/0.61 (define @t47 () (tptp.sdtsldt0 @t4 @t1)) % 0.36/0.61 (define @t48 () (and @t26 @t46)) % 0.36/0.61 (define @t49 () (tptp.doDivides0 @t1 @t11)) % 0.36/0.61 (define @t50 () (tptp.doDivides0 @t1 @t12)) % 0.36/0.61 (define @t51 () (tptp.doDivides0 @t4 @t1)) % 0.36/0.61 (define @t52 () (@list @t4)) % 0.36/0.61 (define @t53 () (not @t43)) % 0.36/0.61 (define @t54 () (tptp.aNaturalNumber0 tptp.xp)) % 0.36/0.61 (define @t55 () (tptp.aNaturalNumber0 tptp.xm)) % 0.36/0.61 (define @t56 () (tptp.aNaturalNumber0 tptp.xn)) % 0.36/0.61 (define @t57 () (tptp.sdtlseqdt0 tptp.xp tptp.xn)) % 0.36/0.61 (define @t58 () (tptp.sdtlseqdt0 tptp.xp tptp.xm)) % 0.36/0.61 (define @t59 () (tptp.sdtlseqdt0 tptp.xm tptp.xp)) % 0.36/0.61 (define @t60 () (= tptp.xm tptp.xp)) % 0.36/0.61 (define @t61 () (not @t60)) % 0.36/0.61 (define @t62 () (tptp.sdtlseqdt0 tptp.xn tptp.xp)) % 0.36/0.61 (define @t63 () (= tptp.xn tptp.xp)) % 0.36/0.61 (define @t64 () (not @t63)) % 0.36/0.61 (define @t65 () (and @t41 @t32)) % 0.36/0.61 (define @t66 () (not @t6)) % 0.36/0.61 (define @t67 () (not @t2)) % 0.36/0.61 (define @t68 () (or @t67 @t66 @t30 @t65)) % 0.36/0.61 (define @t69 () (or @t30 @t65)) % 0.36/0.61 (define @t70 () (and @t61 @t58)) % 0.36/0.61 (define @t71 () (not @t70)) % 0.36/0.61 (define @t72 () (@list true)) % 0.36/0.61 (define @t73 () (not @t54)) % 0.36/0.61 (define @t74 () (not @t55)) % 0.36/0.61 (define @t75 () (or @t74 @t73 @t59 @t70)) % 0.36/0.61 (define @t76 () (@list false false true false)) % 0.36/0.61 (define @t77 () (and @t64 @t57)) % 0.36/0.61 (define @t78 () (not @t77)) % 0.36/0.61 (define @t79 () (not @t56)) % 0.36/0.61 (define @t80 () (or @t79 @t73 @t62 @t77)) % 0.36/0.61 (define @t81 () (not (= tptp.xp tptp.xn))) % 0.36/0.61 (define @t82 () (and @t81 @t62)) % 0.36/0.61 (define @t83 () (or @t73 @t79 @t57 @t82)) % 0.36/0.61 (define @t84 () (forall @t8 @t68)) % 0.36/0.61 (define @t85 () (and @t64 @t62)) % 0.36/0.61 (define @t86 () (or @t73 @t79 @t57 @t85)) % 0.36/0.61 (define @t87 () (@list false)) % 0.36/0.61 (define @t88 () (@list @t84)) % 0.36/0.61 (define @t89 () (@list true false false false)) % 0.36/0.61 (define @t90 () (not (= tptp.xp tptp.xm))) % 0.36/0.61 (define @t91 () (and @t90 @t59)) % 0.36/0.61 (define @t92 () (or @t73 @t74 @t58 @t91)) % 0.36/0.61 (define @t93 () (and @t61 @t59)) % 0.36/0.61 (define @t94 () (or @t73 @t74 @t58 @t93)) % 0.36/0.61 (define @t95 () (not @t59)) % 0.36/0.61 (define @t96 () (not @t62)) % 0.36/0.61 (assume @p1 (forall @t3 (=> @t2 true))) % 0.36/0.61 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.36/0.61 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.36/0.61 (assume @p4 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t5)))) % 0.36/0.61 (assume @p5 (forall @t8 (=> @t7 (tptp.aNaturalNumber0 @t9)))) % 0.36/0.61 (assume @p6 (forall @t8 (=> @t7 (= @t5 @t10)))) % 0.36/0.61 (assume @p7 (forall @t16 (=> @t15 (= @t13 (tptp.sdtpldt0 @t1 @t12))))) % 0.36/0.61 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.36/0.61 (assume @p9 (forall @t8 (=> @t7 (= @t9 @t17)))) % 0.36/0.61 (assume @p10 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t9 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t11)))))) % 0.36/0.61 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.36/0.61 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.36/0.61 (assume @p13 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t9 @t19)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t17 @t18)))))) % 0.36/0.61 (assume @p14 (forall @t16 (=> @t15 (=> (or (= @t5 @t22) (= @t10 @t21)) @t20)))) % 0.36/0.61 (assume @p15 (forall @t3 (=> @t2 (=> @t26 (forall (@list @t4 @t11) (=> (and @t6 @t14) (=> (or @t24 @t23) @t20))))))) % 0.36/0.61 (assume @p16 (forall @t8 (=> @t7 (=> (= @t5 tptp.sz00) (and @t25 @t27))))) % 0.36/0.61 (assume @p17 (forall @t8 (=> @t7 (=> (= @t9 tptp.sz00) (or @t25 @t27))))) % 0.36/0.61 (assume @p18 (forall @t8 (=> @t7 (= @t30 (exists @t29 @t28))))) % 0.36/0.61 (assume @p19 (forall @t8 (=> @t7 (=> @t30 (forall @t29 (= (= @t11 (tptp.sdtmndt0 @t4 @t1)) @t28)))))) % 0.36/0.61 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.36/0.61 (assume @p21 (forall @t8 (=> @t7 (=> (and @t30 @t32) @t31)))) % 0.36/0.61 (assume @p22 (forall @t16 (=> @t15 (=> (and @t30 @t33) (tptp.sdtlseqdt0 @t1 @t11))))) % 0.36/0.61 (assume @p23 @t39) % 0.36/0.61 (assume @p24 (forall @t8 (=> @t7 (=> @t42 (forall @t29 (=> @t14 (and (not (= @t21 @t40)) (tptp.sdtlseqdt0 @t21 @t40) (not (= @t22 @t12)) (tptp.sdtlseqdt0 @t22 @t12)))))))) % 0.36/0.61 (assume @p25 (forall @t16 (=> @t15 (=> (and @t26 (not @t20) @t33) (and (not @t24) (tptp.sdtlseqdt0 @t9 @t19) (not @t23) (tptp.sdtlseqdt0 @t17 @t18)))))) % 0.36/0.61 (assume @p26 (forall @t3 (=> @t2 (or @t25 @t43 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.36/0.61 (assume @p27 (forall @t8 (=> @t7 (=> @t26 (tptp.sdtlseqdt0 @t4 @t17))))) % 0.36/0.61 (assume @p28 (forall @t8 (=> @t7 (=> @t44 true)))) % 0.36/0.61 (assume @p29 (forall @t8 (=> @t7 (=> @t42 @t44)))) % 0.36/0.61 (assume @p30 (forall @t8 (=> @t7 (= @t46 (exists @t29 @t45))))) % 0.36/0.61 (assume @p31 (forall @t8 (=> @t7 (=> @t48 (forall @t29 (= (= @t11 @t47) @t45)))))) % 0.36/0.61 (assume @p32 (forall @t16 (=> @t15 (=> (and @t46 (tptp.doDivides0 @t4 @t11)) @t49)))) % 0.36/0.61 (assume @p33 (forall @t16 (=> @t15 (=> (and @t46 @t49) @t50)))) % 0.36/0.61 (assume @p34 (forall @t16 (=> @t15 (=> (and @t46 @t50) @t49)))) % 0.36/0.61 (assume @p35 (forall @t8 (=> @t7 (=> (and @t46 (not @t27)) @t30)))) % 0.36/0.61 (assume @p36 (forall @t8 (=> @t7 (=> @t48 (forall @t29 (=> @t14 (= (tptp.sdtasdt0 @t11 @t47) (tptp.sdtsldt0 (tptp.sdtasdt0 @t11 @t4) @t1)))))))) % 0.36/0.61 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t26 @t53 (forall @t52 (=> (and @t6 @t51) (or (= @t4 tptp.sz10) @t34)))))))) % 0.36/0.61 (assume @p38 (forall @t3 (=> (and @t2 @t26 @t53) (exists @t52 (and @t6 @t51 (tptp.isPrime0 @t4)))))) % 0.36/0.61 (assume @p39 (and @t56 @t55 @t54)) % 0.36/0.61 (assume @p40 (forall @t16 (=> @t15 (=> (and (tptp.isPrime0 @t11) (tptp.doDivides0 @t11 @t9)) (=> (tptp.iLess0 @t13 (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (tptp.doDivides0 @t11 @t1) (tptp.doDivides0 @t11 @t4))))))) % 0.36/0.61 (assume @p41 (and (tptp.isPrime0 tptp.xp) (tptp.doDivides0 tptp.xp (tptp.sdtasdt0 tptp.xn tptp.xm)))) % 0.36/0.61 (assume @p42 (not @t57)) % 0.36/0.61 (assume @p43 (not @t58)) % 0.36/0.61 (assume @p44 (not (and @t64 @t62 @t61 @t59))) % 0.36/0.61 (assume @p45 (not (or (tptp.doDivides0 tptp.xp tptp.xn) (tptp.doDivides0 tptp.xp tptp.xm)))) % 0.36/0.61 (assume @p46 true) % 0.36/0.61 (step @p47 :rule aci_norm :args ((= (or (or @t67 @t66) @t69) @t68))) % 0.36/0.61 (step @p48 :rule refl :args (@t69)) % 0.36/0.61 (step @p49 :rule bool-and-de-morgan :args (@t2 @t6 true)) % 0.36/0.61 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t7) @t69))) % 0.36/0.61 (step @p51 :rule trans :premises (@p50 @p47)) % 0.36/0.61 (step @p52 :rule bool-impl-elim :args (@t7 @t69)) % 0.36/0.61 (step @p53 :rule trans :premises (@p52 @p51)) % 0.36/0.61 (step @p54 :rule cong :premises (@p53) :args ((forall @t8 (=> @t7 @t69)))) % 0.36/0.61 (step @p55 :rule refl :args (@t32)) % 0.36/0.61 (step @p56 :rule eq-symm :args (@t4 @t1)) % 0.36/0.61 (step @p57 :rule cong :premises (@p56) :args (@t35)) % 0.36/0.61 (step @p58 :rule nary_cong :premises (@p57 @p55) :args (@t36)) % 0.36/0.61 (step @p59 :rule refl :args (@t30)) % 0.36/0.61 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t37)) % 0.36/0.61 (step @p61 :rule refl :args (@t7)) % 0.36/0.61 (step @p62 :rule cong :premises (@p61 @p60) :args (@t38)) % 0.36/0.61 (step @p63 :rule cong :premises (@p62) :args (@t39)) % 0.36/0.61 (step @p64 :rule trans :premises (@p63 @p54)) % 0.36/0.61 (step @p65 :rule eq_resolve :premises (@p23 @p64)) % 0.36/0.61 (step @p66 :rule instantiate :premises (@p65) :args ((@list tptp.xm tptp.xp))) % 0.36/0.61 (step @p67 :rule cnf_and_pos :args (@t70 1)) % 0.36/0.61 (step @p68 :rule reordering :premises (@p67) :args ((or @t58 @t71))) % 0.36/0.61 (step @p69 :rule chain_m_resolution :premises (@p68 @p43) :args (@t71 @t72 (@list @t58))) % 0.36/0.61 (step @p70 :rule and_elim :premises (@p39) :args (2)) % 0.36/0.61 (step @p71 :rule and_elim :premises (@p39) :args (1)) % 0.36/0.61 (step @p72 :rule cnf_or_pos :args (@t75)) % 0.36/0.61 (step @p73 :rule reordering :premises (@p72) :args ((or @t59 @t74 @t73 @t70 (not @t75)))) % 0.36/0.61 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p70 @p69 @p66) :args (@t59 @t76 (@list @t55 @t54 @t70 @t75))) % 0.36/0.61 (step @p75 :rule instantiate :premises (@p65) :args ((@list tptp.xn tptp.xp))) % 0.36/0.61 (step @p76 :rule cnf_and_pos :args (@t77 1)) % 0.36/0.61 (step @p77 :rule reordering :premises (@p76) :args ((or @t57 @t78))) % 0.36/0.61 (step @p78 :rule chain_m_resolution :premises (@p77 @p42) :args (@t78 @t72 (@list @t57))) % 0.36/0.61 (step @p79 :rule and_elim :premises (@p39) :args (0)) % 0.36/0.61 (step @p80 :rule cnf_or_pos :args (@t80)) % 0.36/0.61 (step @p81 :rule reordering :premises (@p80) :args ((or @t62 @t79 @t73 @t77 (not @t80)))) % 0.36/0.61 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p70 @p78 @p75) :args (@t62 @t76 (@list @t56 @t54 @t77 @t80))) % 0.36/0.61 (step @p83 :rule refl :args (@t62)) % 0.36/0.61 (step @p84 :rule eq-symm :args (tptp.xp tptp.xn)) % 0.36/0.61 (step @p85 :rule cong :premises (@p84) :args (@t81)) % 0.36/0.61 (step @p86 :rule nary_cong :premises (@p85 @p83) :args (@t82)) % 0.36/0.61 (step @p87 :rule refl :args (@t57)) % 0.36/0.61 (step @p88 :rule refl :args (@t79)) % 0.36/0.61 (step @p89 :rule refl :args (@t73)) % 0.36/0.61 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87 @p86) :args (@t83)) % 0.36/0.61 (step @p91 :rule refl :args (@t84)) % 0.36/0.61 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t84 @t83))) % 0.36/0.61 (assume-push @p136 @t84) % 0.36/0.61 (step @p94 :rule instantiate :premises (@p65) :args ((@list tptp.xp tptp.xn))) % 0.36/0.61 (step-pop @p137 :rule scope :premises (@p94)) % 0.36/0.61 (step @p95 :rule process_scope :premises (@p137) :args (@t83)) % 0.36/0.61 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 0.36/0.61 (step @p98 :rule implies_elim :premises (@p97)) % 0.36/0.61 (step @p99 :rule chain_m_resolution :premises (@p98 @p65) :args (@t86 @t87 @t88)) % 0.36/0.61 (step @p100 :rule cnf_or_pos :args (@t86)) % 0.36/0.61 (step @p101 :rule reordering :premises (@p100) :args ((or @t57 @t79 @t73 @t85 (not @t86)))) % 0.36/0.61 (step @p102 :rule chain_m_resolution :premises (@p101 @p42 @p79 @p70 @p99) :args (@t85 @t89 (@list @t57 @t56 @t54 @t86))) % 0.36/0.61 (step @p103 :rule cnf_and_pos :args (@t85 0)) % 0.36/0.61 (step @p104 :rule reordering :premises (@p103) :args ((or @t64 (not @t85)))) % 0.36/0.61 (step @p105 :rule chain_m_resolution :premises (@p104 @p102) :args (@t64 @t87 (@list @t85))) % 0.36/0.61 (step @p106 :rule refl :args (@t59)) % 0.36/0.61 (step @p107 :rule eq-symm :args (tptp.xp tptp.xm)) % 0.36/0.61 (step @p108 :rule cong :premises (@p107) :args (@t90)) % 0.36/0.61 (step @p109 :rule nary_cong :premises (@p108 @p106) :args (@t91)) % 0.36/0.61 (step @p110 :rule refl :args (@t58)) % 0.36/0.61 (step @p111 :rule refl :args (@t74)) % 0.36/0.61 (step @p112 :rule nary_cong :premises (@p89 @p111 @p110 @p109) :args (@t92)) % 0.36/0.61 (step @p113 :rule cong :premises (@p91 @p112) :args ((=> @t84 @t92))) % 0.44/0.61 (assume-push @p138 @t84) % 0.44/0.61 (step @p115 :rule instantiate :premises (@p65) :args ((@list tptp.xp tptp.xm))) % 0.44/0.61 (step-pop @p139 :rule scope :premises (@p115)) % 0.44/0.61 (step @p116 :rule process_scope :premises (@p139) :args (@t92)) % 0.44/0.61 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 0.44/0.61 (step @p119 :rule implies_elim :premises (@p118)) % 0.44/0.61 (step @p120 :rule chain_m_resolution :premises (@p119 @p65) :args (@t94 @t87 @t88)) % 0.44/0.61 (step @p121 :rule cnf_or_pos :args (@t94)) % 0.44/0.61 (step @p122 :rule reordering :premises (@p121) :args ((or @t58 @t74 @t73 @t93 (not @t94)))) % 0.44/0.61 (step @p123 :rule chain_m_resolution :premises (@p122 @p43 @p71 @p70 @p120) :args (@t93 @t89 (@list @t58 @t55 @t54 @t94))) % 0.44/0.61 (step @p124 :rule cnf_and_pos :args (@t93 0)) % 0.44/0.61 (step @p125 :rule reordering :premises (@p124) :args ((or @t61 (not @t93)))) % 0.44/0.61 (step @p126 :rule chain_m_resolution :premises (@p125 @p123) :args (@t61 @t87 (@list @t93))) % 0.44/0.61 (step @p127 :rule refl :args (@t95)) % 0.44/0.61 (step @p128 :rule bool-double-not-elim :args (@t60)) % 0.44/0.61 (step @p129 :rule refl :args (@t96)) % 0.44/0.61 (step @p130 :rule bool-double-not-elim :args (@t63)) % 0.44/0.61 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128 @p127) :args ((or (not @t64) @t96 (not @t61) @t95))) % 0.44/0.61 (step @p132 :rule not_and :premises (@p44)) % 0.44/0.61 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.44/0.61 (step @p134 :rule reordering :premises (@p133) :args ((or @t63 @t60 @t96 @t95))) % 0.44/0.61 (step @p135 false :rule chain_m_resolution :premises (@p134 @p126 @p105 @p82 @p74) :args (false (@list true true false false) (@list @t60 @t63 @t62 @t59))) % 0.44/0.61 ) % 0.44/0.61 % SZS output end Proof % 0.44/0.61 % cvc5 exiting %------------------------------------------------------------------------------