%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM508+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:39:39 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM508+1 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 11:25:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.xr $$unsorted) % 0.37/0.62 (declare-const tptp.xk $$unsorted) % 0.37/0.62 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.xm $$unsorted) % 0.37/0.62 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.xn $$unsorted) % 0.37/0.62 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.sz00 $$unsorted) % 0.37/0.62 (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.isPrime0 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.sz10 $$unsorted) % 0.37/0.62 (declare-const tptp.xp $$unsorted) % 0.37/0.62 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.63 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.37/0.63 (define @t3 () (@list @t1)) % 0.37/0.63 (define @t4 () (@var "W1" $$unsorted)) % 0.37/0.63 (define @t5 () (tptp.sdtpldt0 @t1 @t4)) % 0.37/0.63 (define @t6 () (tptp.aNaturalNumber0 @t5)) % 0.37/0.63 (define @t7 () (tptp.aNaturalNumber0 @t4)) % 0.37/0.63 (define @t8 () (and @t2 @t7)) % 0.37/0.63 (define @t9 () (@list @t1 @t4)) % 0.37/0.63 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.37/0.63 (define @t11 () (tptp.sdtasdt0 @t1 @t4)) % 0.37/0.63 (define @t12 () (tptp.sdtpldt0 @t4 @t1)) % 0.37/0.63 (define @t13 () (@var "W2" $$unsorted)) % 0.37/0.63 (define @t14 () (tptp.sdtpldt0 @t4 @t13)) % 0.37/0.63 (define @t15 () (tptp.sdtpldt0 @t5 @t13)) % 0.37/0.63 (define @t16 () (tptp.aNaturalNumber0 @t13)) % 0.37/0.63 (define @t17 () (and @t2 @t7 @t16)) % 0.37/0.63 (define @t18 () (@list @t1 @t4 @t13)) % 0.37/0.63 (define @t19 () (tptp.sdtasdt0 @t4 @t1)) % 0.37/0.63 (define @t20 () (tptp.sdtasdt0 @t13 @t1)) % 0.37/0.63 (define @t21 () (tptp.sdtasdt0 @t1 @t13)) % 0.37/0.63 (define @t22 () (= @t4 @t13)) % 0.37/0.63 (define @t23 () (tptp.sdtpldt0 @t13 @t1)) % 0.37/0.63 (define @t24 () (tptp.sdtpldt0 @t1 @t13)) % 0.37/0.63 (define @t25 () (= @t19 @t20)) % 0.37/0.63 (define @t26 () (= @t11 @t21)) % 0.37/0.63 (define @t27 () (and @t7 @t16)) % 0.37/0.63 (define @t28 () (= @t1 tptp.sz00)) % 0.37/0.63 (define @t29 () (not @t28)) % 0.37/0.63 (define @t30 () (= @t4 tptp.sz00)) % 0.37/0.63 (define @t31 () (and @t16 (= @t24 @t4))) % 0.37/0.63 (define @t32 () (@list @t13)) % 0.37/0.63 (define @t33 () (tptp.sdtlseqdt0 @t1 @t4)) % 0.37/0.63 (define @t34 () (= @t1 @t4)) % 0.37/0.63 (define @t35 () (tptp.sdtlseqdt0 @t4 @t1)) % 0.37/0.63 (define @t36 () (tptp.sdtlseqdt0 @t4 @t13)) % 0.37/0.63 (define @t37 () (= @t4 @t1)) % 0.37/0.63 (define @t38 () (tptp.sdtpldt0 @t13 @t4)) % 0.37/0.63 (define @t39 () (not @t34)) % 0.37/0.63 (define @t40 () (and @t39 @t33)) % 0.37/0.63 (define @t41 () (= @t1 tptp.sz10)) % 0.37/0.63 (define @t42 () (tptp.iLess0 @t1 @t4)) % 0.37/0.63 (define @t43 () (=> @t40 @t42)) % 0.37/0.63 (define @t44 () (forall @t9 (=> @t8 @t43))) % 0.37/0.63 (define @t45 () (and @t16 (= @t4 @t21))) % 0.37/0.63 (define @t46 () (tptp.doDivides0 @t1 @t4)) % 0.37/0.63 (define @t47 () (tptp.sdtsldt0 @t4 @t1)) % 0.37/0.63 (define @t48 () (and @t29 @t46)) % 0.37/0.63 (define @t49 () (tptp.doDivides0 @t1 @t13)) % 0.37/0.63 (define @t50 () (tptp.doDivides0 @t1 @t14)) % 0.37/0.63 (define @t51 () (tptp.doDivides0 @t4 @t1)) % 0.37/0.63 (define @t52 () (@list @t4)) % 0.37/0.63 (define @t53 () (not @t41)) % 0.37/0.63 (define @t54 () (tptp.aNaturalNumber0 tptp.xp)) % 0.37/0.63 (define @t55 () (tptp.aNaturalNumber0 tptp.xm)) % 0.37/0.63 (define @t56 () (tptp.aNaturalNumber0 tptp.xn)) % 0.37/0.63 (define @t57 () (tptp.doDivides0 @t13 @t4)) % 0.37/0.63 (define @t58 () (tptp.doDivides0 @t13 @t1)) % 0.37/0.63 (define @t59 () (or @t58 @t57)) % 0.37/0.63 (define @t60 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 0.37/0.63 (define @t61 () (tptp.sdtpldt0 @t60 tptp.xp)) % 0.37/0.63 (define @t62 () (tptp.iLess0 @t15 @t61)) % 0.37/0.63 (define @t63 () (=> @t62 @t59)) % 0.37/0.63 (define @t64 () (tptp.doDivides0 @t13 @t11)) % 0.37/0.63 (define @t65 () (tptp.isPrime0 @t13)) % 0.37/0.63 (define @t66 () (and @t65 @t64)) % 0.37/0.63 (define @t67 () (=> @t66 @t63)) % 0.37/0.63 (define @t68 () (forall @t18 (=> @t17 @t67))) % 0.37/0.63 (define @t69 () (tptp.sdtasdt0 tptp.xn tptp.xm)) % 0.37/0.63 (define @t70 () (= tptp.xk tptp.sz10)) % 0.37/0.63 (define @t71 () (= tptp.xk tptp.sz00)) % 0.37/0.63 (define @t72 () (tptp.isPrime0 tptp.xr)) % 0.37/0.63 (define @t73 () (tptp.aNaturalNumber0 tptp.xr)) % 0.37/0.63 (define @t74 () (tptp.doDivides0 tptp.xr @t69)) % 0.37/0.63 (define @t75 () (tptp.sdtpldt0 @t60 tptp.xr)) % 0.37/0.63 (define @t76 () (tptp.sdtlseqdt0 @t75 @t61)) % 0.37/0.63 (define @t77 () (= @t75 @t61)) % 0.37/0.63 (define @t78 () (tptp.doDivides0 tptp.xr tptp.xm)) % 0.37/0.63 (define @t79 () (tptp.doDivides0 tptp.xr tptp.xn)) % 0.37/0.63 (define @t80 () (not @t33)) % 0.37/0.63 (define @t81 () (not @t7)) % 0.37/0.63 (define @t82 () (not @t2)) % 0.37/0.63 (define @t83 () (or @t82 @t81 @t34 @t80 @t42)) % 0.37/0.63 (define @t84 () (or @t34 @t80 @t42)) % 0.37/0.63 (define @t85 () (or @t82 @t81)) % 0.37/0.63 (define @t86 () (not @t8)) % 0.37/0.63 (define @t87 () (tptp.iLess0 @t75 @t61)) % 0.37/0.63 (define @t88 () (not @t76)) % 0.37/0.63 (define @t89 () (tptp.aNaturalNumber0 @t61)) % 0.37/0.63 (define @t90 () (not @t89)) % 0.37/0.63 (define @t91 () (tptp.aNaturalNumber0 @t75)) % 0.37/0.63 (define @t92 () (not @t91)) % 0.37/0.63 (define @t93 () (or @t92 @t90 @t77 @t88 @t87)) % 0.37/0.63 (define @t94 () (forall @t9 @t83)) % 0.37/0.63 (define @t95 () (= @t61 @t75)) % 0.37/0.63 (define @t96 () (or @t92 @t90 @t95 @t88 @t87)) % 0.37/0.63 (define @t97 () (not @t62)) % 0.37/0.63 (define @t98 () (not @t64)) % 0.37/0.63 (define @t99 () (not @t65)) % 0.37/0.63 (define @t100 () (not @t16)) % 0.37/0.63 (define @t101 () (or @t99 @t98 @t97 @t58 @t57)) % 0.37/0.63 (define @t102 () (or @t82 @t81 @t100)) % 0.37/0.63 (define @t103 () (or @t97 @t58 @t57)) % 0.37/0.63 (define @t104 () (not @t87)) % 0.37/0.63 (define @t105 () (not @t74)) % 0.37/0.63 (define @t106 () (not @t72)) % 0.37/0.63 (define @t107 () (not @t73)) % 0.37/0.63 (define @t108 () (not @t55)) % 0.37/0.63 (define @t109 () (not @t56)) % 0.37/0.63 (define @t110 () (or @t109 @t108 @t107 @t106 @t105 @t104 @t79 @t78)) % 0.37/0.63 (define @t111 () (tptp.aNaturalNumber0 @t60)) % 0.37/0.63 (define @t112 () (or @t109 @t108 @t111)) % 0.37/0.63 (define @t113 () (@list false false false)) % 0.37/0.63 (define @t114 () (not @t54)) % 0.37/0.63 (define @t115 () (not @t111)) % 0.37/0.63 (define @t116 () (or @t115 @t114 @t89)) % 0.37/0.63 (define @t117 () (or @t115 @t107 @t91)) % 0.37/0.63 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.63 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.37/0.63 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.37/0.63 (assume @p4 @t10) % 0.37/0.63 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t11)))) % 0.37/0.63 (assume @p6 (forall @t9 (=> @t8 (= @t5 @t12)))) % 0.37/0.63 (assume @p7 (forall @t18 (=> @t17 (= @t15 (tptp.sdtpldt0 @t1 @t14))))) % 0.37/0.63 (assume @p8 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.37/0.63 (assume @p9 (forall @t9 (=> @t8 (= @t11 @t19)))) % 0.37/0.63 (assume @p10 (forall @t18 (=> @t17 (= (tptp.sdtasdt0 @t11 @t13) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t4 @t13)))))) % 0.37/0.63 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.37/0.63 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.37/0.63 (assume @p13 (forall @t18 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t11 @t21)) (= (tptp.sdtasdt0 @t14 @t1) (tptp.sdtpldt0 @t19 @t20)))))) % 0.37/0.63 (assume @p14 (forall @t18 (=> @t17 (=> (or (= @t5 @t24) (= @t12 @t23)) @t22)))) % 0.37/0.63 (assume @p15 (forall @t3 (=> @t2 (=> @t29 (forall (@list @t4 @t13) (=> @t27 (=> (or @t26 @t25) @t22))))))) % 0.37/0.63 (assume @p16 (forall @t9 (=> @t8 (=> (= @t5 tptp.sz00) (and @t28 @t30))))) % 0.37/0.63 (assume @p17 (forall @t9 (=> @t8 (=> (= @t11 tptp.sz00) (or @t28 @t30))))) % 0.37/0.63 (assume @p18 (forall @t9 (=> @t8 (= @t33 (exists @t32 @t31))))) % 0.37/0.63 (assume @p19 (forall @t9 (=> @t8 (=> @t33 (forall @t32 (= (= @t13 (tptp.sdtmndt0 @t4 @t1)) @t31)))))) % 0.37/0.63 (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.37/0.63 (assume @p21 (forall @t9 (=> @t8 (=> (and @t33 @t35) @t34)))) % 0.37/0.63 (assume @p22 (forall @t18 (=> @t17 (=> (and @t33 @t36) (tptp.sdtlseqdt0 @t1 @t13))))) % 0.37/0.63 (assume @p23 (forall @t9 (=> @t8 (or @t33 (and (not @t37) @t35))))) % 0.37/0.63 (assume @p24 (forall @t9 (=> @t8 (=> @t40 (forall @t32 (=> @t16 (and (not (= @t23 @t38)) (tptp.sdtlseqdt0 @t23 @t38) (not (= @t24 @t14)) (tptp.sdtlseqdt0 @t24 @t14)))))))) % 0.37/0.63 (assume @p25 (forall @t18 (=> @t17 (=> (and @t29 (not @t22) @t36) (and (not @t26) (tptp.sdtlseqdt0 @t11 @t21) (not @t25) (tptp.sdtlseqdt0 @t19 @t20)))))) % 0.37/0.63 (assume @p26 (forall @t3 (=> @t2 (or @t28 @t41 (and (not (= tptp.sz10 @t1)) (tptp.sdtlseqdt0 tptp.sz10 @t1)))))) % 0.37/0.63 (assume @p27 (forall @t9 (=> @t8 (=> @t29 (tptp.sdtlseqdt0 @t4 @t19))))) % 0.37/0.63 (assume @p28 (forall @t9 (=> @t8 (=> @t42 true)))) % 0.37/0.63 (assume @p29 @t44) % 0.37/0.63 (assume @p30 (forall @t9 (=> @t8 (= @t46 (exists @t32 @t45))))) % 0.37/0.63 (assume @p31 (forall @t9 (=> @t8 (=> @t48 (forall @t32 (= (= @t13 @t47) @t45)))))) % 0.37/0.63 (assume @p32 (forall @t18 (=> @t17 (=> (and @t46 (tptp.doDivides0 @t4 @t13)) @t49)))) % 0.37/0.63 (assume @p33 (forall @t18 (=> @t17 (=> (and @t46 @t49) @t50)))) % 0.37/0.63 (assume @p34 (forall @t18 (=> @t17 (=> (and @t46 @t50) @t49)))) % 0.37/0.63 (assume @p35 (forall @t9 (=> @t8 (=> (and @t46 (not @t30)) @t33)))) % 0.37/0.63 (assume @p36 (forall @t9 (=> @t8 (=> @t48 (forall @t32 (=> @t16 (= (tptp.sdtasdt0 @t13 @t47) (tptp.sdtsldt0 (tptp.sdtasdt0 @t13 @t4) @t1)))))))) % 0.37/0.63 (assume @p37 (forall @t3 (=> @t2 (= (tptp.isPrime0 @t1) (and @t29 @t53 (forall @t52 (=> (and @t7 @t51) (or (= @t4 tptp.sz10) @t37)))))))) % 0.37/0.63 (assume @p38 (forall @t3 (=> (and @t2 @t29 @t53) (exists @t52 (and @t7 @t51 (tptp.isPrime0 @t4)))))) % 0.37/0.63 (assume @p39 (and @t56 @t55 @t54)) % 0.37/0.63 (assume @p40 @t68) % 0.37/0.63 (assume @p41 (and (tptp.isPrime0 tptp.xp) (tptp.doDivides0 tptp.xp @t69))) % 0.37/0.63 (assume @p42 (not (tptp.sdtlseqdt0 tptp.xp tptp.xn))) % 0.37/0.63 (assume @p43 (not (tptp.sdtlseqdt0 tptp.xp tptp.xm))) % 0.37/0.63 (assume @p44 (and (not (= tptp.xn tptp.xp)) (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not (= tptp.xm tptp.xp)) (tptp.sdtlseqdt0 tptp.xm tptp.xp))) % 0.37/0.63 (assume @p45 (= tptp.xk (tptp.sdtsldt0 @t69 tptp.xp))) % 0.37/0.63 (assume @p46 (not (or @t71 @t70))) % 0.37/0.63 (assume @p47 (and (not @t71) (not @t70))) % 0.37/0.63 (assume @p48 (and @t73 (tptp.doDivides0 tptp.xr tptp.xk) @t72)) % 0.37/0.63 (assume @p49 (and (tptp.sdtlseqdt0 tptp.xr tptp.xk) @t74)) % 0.37/0.63 (assume @p50 (and (not (= tptp.xk tptp.xp)) (tptp.sdtlseqdt0 tptp.xk tptp.xp))) % 0.37/0.63 (assume @p51 (and (not @t77) @t76)) % 0.37/0.63 (assume @p52 (not (or @t79 @t78))) % 0.37/0.63 (assume @p53 true) % 0.37/0.63 (step @p54 :rule and_elim :premises (@p51) :args (0)) % 0.37/0.63 (step @p55 :rule symm :premises (@p54)) % 0.37/0.63 (step @p56 :rule and_elim :premises (@p51) :args (1)) % 0.37/0.63 (step @p57 :rule aci_norm :args ((= (or @t85 @t84) @t83))) % 0.37/0.63 (step @p58 :rule aci_norm :args ((= (or (or @t34 @t80) @t42) @t84))) % 0.37/0.63 (step @p59 :rule refl :args (@t42)) % 0.37/0.63 (step @p60 :rule refl :args (@t80)) % 0.37/0.63 (step @p61 :rule bool-double-not-elim :args (@t34)) % 0.37/0.63 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t39) @t80))) % 0.37/0.63 (step @p63 :rule bool-and-de-morgan :args (@t39 @t33 true)) % 0.37/0.63 (step @p64 :rule trans :premises (@p63 @p62)) % 0.37/0.63 (step @p65 :rule nary_cong :premises (@p64 @p59) :args ((or (not @t40) @t42))) % 0.37/0.63 (step @p66 :rule trans :premises (@p65 @p58)) % 0.37/0.63 (step @p67 :rule bool-impl-elim :args (@t40 @t42)) % 0.37/0.63 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.63 (step @p69 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.37/0.63 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t86 @t43))) % 0.37/0.63 (step @p71 :rule trans :premises (@p70 @p57)) % 0.37/0.63 (step @p72 :rule bool-impl-elim :args (@t8 @t43)) % 0.37/0.63 (step @p73 :rule trans :premises (@p72 @p71)) % 0.37/0.63 (step @p74 :rule cong :premises (@p73) :args (@t44)) % 0.37/0.63 (step @p75 :rule eq_resolve :premises (@p29 @p74)) % 0.37/0.63 (step @p76 :rule refl :args (@t87)) % 0.37/0.63 (step @p77 :rule refl :args (@t88)) % 0.37/0.63 (step @p78 :rule eq-symm :args (@t75 @t61)) % 0.37/0.63 (step @p79 :rule refl :args (@t90)) % 0.37/0.63 (step @p80 :rule refl :args (@t92)) % 0.37/0.63 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77 @p76) :args (@t93)) % 0.37/0.63 (step @p82 :rule refl :args (@t94)) % 0.37/0.63 (step @p83 :rule cong :premises (@p82 @p81) :args ((=> @t94 @t93))) % 0.37/0.63 (assume-push @p149 @t94) % 0.37/0.63 (step @p85 :rule instantiate :premises (@p75) :args ((@list @t75 @t61))) % 0.37/0.63 (step-pop @p150 :rule scope :premises (@p85)) % 0.37/0.63 (step @p86 :rule process_scope :premises (@p150) :args (@t93)) % 0.37/0.63 (step @p88 :rule eq_resolve :premises (@p86 @p83)) % 0.37/0.63 (step @p89 :rule implies_elim :premises (@p88)) % 0.37/0.63 (step @p90 :rule chain_m_resolution :premises (@p89 @p75) :args (@t96 (@list false) (@list @t94))) % 0.37/0.63 (step @p91 :rule aci_norm :args ((= (or @t102 @t101) (or @t82 @t81 @t100 @t99 @t98 @t97 @t58 @t57)))) % 0.37/0.63 (step @p92 :rule aci_norm :args ((= (or (or @t99 @t98) @t103) @t101))) % 0.37/0.63 (step @p93 :rule aci_norm :args ((= (or @t97 @t59) @t103))) % 0.37/0.63 (step @p94 :rule bool-impl-elim :args (@t62 @t59)) % 0.37/0.63 (step @p95 :rule trans :premises (@p94 @p93)) % 0.37/0.63 (step @p96 :rule bool-and-de-morgan :args (@t65 @t64 true)) % 0.37/0.63 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t66) @t63))) % 0.37/0.63 (step @p98 :rule trans :premises (@p97 @p92)) % 0.37/0.63 (step @p99 :rule bool-impl-elim :args (@t66 @t63)) % 0.37/0.63 (step @p100 :rule trans :premises (@p99 @p98)) % 0.37/0.63 (step @p101 :rule aci_norm :args ((= (or @t82 (or @t81 @t100)) @t102))) % 0.37/0.63 (step @p102 :rule bool-and-de-morgan :args (@t7 @t16 true)) % 0.37/0.63 (step @p103 :rule refl :args (@t82)) % 0.37/0.63 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t82 (not @t27)))) % 0.35/0.63 (step @p105 :rule bool-and-de-morgan :args (@t2 @t7 (and @t16))) % 0.35/0.63 (step @p106 :rule trans :premises (@p105 @p104)) % 0.35/0.63 (step @p107 :rule trans :premises (@p106 @p101)) % 0.35/0.63 (step @p108 :rule nary_cong :premises (@p107 @p100) :args ((or (not @t17) @t67))) % 0.35/0.63 (step @p109 :rule trans :premises (@p108 @p91)) % 0.35/0.63 (step @p110 :rule bool-impl-elim :args (@t17 @t67)) % 0.35/0.63 (step @p111 :rule trans :premises (@p110 @p109)) % 0.35/0.63 (step @p112 :rule cong :premises (@p111) :args (@t68)) % 0.35/0.63 (step @p113 :rule eq_resolve :premises (@p40 @p112)) % 0.35/0.63 (step @p114 :rule instantiate :premises (@p113) :args ((@list tptp.xn tptp.xm tptp.xr))) % 0.35/0.63 (step @p115 :rule and_elim :premises (@p49) :args (1)) % 0.35/0.63 (step @p116 :rule and_elim :premises (@p48) :args (2)) % 0.35/0.63 (step @p117 :rule and_elim :premises (@p48) :args (0)) % 0.35/0.63 (step @p118 :rule and_elim :premises (@p39) :args (1)) % 0.35/0.63 (step @p119 :rule and_elim :premises (@p39) :args (0)) % 0.35/0.63 (step @p120 :rule not_or_elim :premises (@p52) :args (1)) % 0.35/0.63 (step @p121 :rule not_or_elim :premises (@p52) :args (0)) % 0.35/0.63 (step @p122 :rule cnf_or_pos :args (@t110)) % 0.35/0.63 (step @p123 :rule reordering :premises (@p122) :args ((or @t79 @t78 @t109 @t108 @t107 @t106 @t105 @t104 (not @t110)))) % 0.35/0.63 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114) :args (@t104 (@list true true false false false false false false) (@list @t79 @t78 @t56 @t55 @t73 @t72 @t74 @t110))) % 0.35/0.63 (step @p125 :rule aci_norm :args ((= (or @t85 @t6) (or @t82 @t81 @t6)))) % 0.35/0.63 (step @p126 :rule refl :args (@t6)) % 0.35/0.63 (step @p127 :rule nary_cong :premises (@p69 @p126) :args ((or @t86 @t6))) % 0.35/0.63 (step @p128 :rule trans :premises (@p127 @p125)) % 0.35/0.63 (step @p129 :rule bool-impl-elim :args (@t8 @t6)) % 0.35/0.63 (step @p130 :rule trans :premises (@p129 @p128)) % 0.35/0.63 (step @p131 :rule cong :premises (@p130) :args (@t10)) % 0.35/0.63 (step @p132 :rule eq_resolve :premises (@p4 @p131)) % 0.35/0.63 (step @p133 :rule instantiate :premises (@p132) :args ((@list @t60 tptp.xp))) % 0.35/0.63 (step @p134 :rule instantiate :premises (@p132) :args ((@list tptp.xn tptp.xm))) % 0.35/0.63 (step @p135 :rule cnf_or_pos :args (@t112)) % 0.35/0.63 (step @p136 :rule reordering :premises (@p135) :args ((or @t109 @t108 @t111 (not @t112)))) % 0.35/0.63 (step @p137 :rule chain_m_resolution :premises (@p136 @p119 @p118 @p134) :args (@t111 @t113 (@list @t56 @t55 @t112))) % 0.35/0.63 (step @p138 :rule and_elim :premises (@p39) :args (2)) % 0.35/0.63 (step @p139 :rule cnf_or_pos :args (@t116)) % 0.35/0.63 (step @p140 :rule reordering :premises (@p139) :args ((or @t114 @t115 @t89 (not @t116)))) % 0.35/0.63 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p137 @p133) :args (@t89 @t113 (@list @t54 @t111 @t116))) % 0.35/0.63 (step @p142 :rule instantiate :premises (@p132) :args ((@list @t60 tptp.xr))) % 0.35/0.63 (step @p143 :rule cnf_or_pos :args (@t117)) % 0.35/0.63 (step @p144 :rule reordering :premises (@p143) :args ((or @t107 @t115 @t91 (not @t117)))) % 0.35/0.63 (step @p145 :rule chain_m_resolution :premises (@p144 @p117 @p137 @p142) :args (@t91 @t113 (@list @t73 @t111 @t117))) % 0.35/0.63 (step @p146 :rule cnf_or_pos :args (@t96)) % 0.35/0.63 (step @p147 :rule reordering :premises (@p146) :args ((or @t95 @t88 @t92 @t90 @t87 (not @t96)))) % 0.35/0.63 (step @p148 false :rule chain_m_resolution :premises (@p147 @p145 @p141 @p124 @p90 @p56 @p55) :args (false (@list false false true false false true) (@list @t91 @t89 @t87 @t96 @t76 @t95))) % 0.35/0.63 ) % 0.35/0.63 % SZS output end Proof % 0.35/0.63 % cvc5 exiting %------------------------------------------------------------------------------