%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM434+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 : 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 08:39:24 AM UTC 2026 % Result : Theorem 0.44s 0.64s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM434+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 11:19:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.64 % SZS status Theorem % 0.44/0.64 % SZS output start Proof % 0.44/0.64 ( % 0.44/0.64 (declare-sort $$unsorted 0) % 0.44/0.64 (declare-const tptp.xa $$unsorted) % 0.44/0.64 (declare-const tptp.xb $$unsorted) % 0.44/0.64 (declare-const tptp.xq $$unsorted) % 0.44/0.64 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.xp $$unsorted) % 0.44/0.64 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.44/0.64 (declare-const tptp.sz10 $$unsorted) % 0.44/0.64 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.sz00 $$unsorted) % 0.44/0.64 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.44/0.64 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 0.44/0.64 (define @t1 () (@var "W0" $$unsorted)) % 0.44/0.64 (define @t2 () (tptp.aInteger0 @t1)) % 0.44/0.64 (define @t3 () (@list @t1)) % 0.44/0.64 (define @t4 () (tptp.smndt0 @t1)) % 0.44/0.64 (define @t5 () (tptp.aInteger0 @t4)) % 0.44/0.64 (define @t6 () (forall @t3 (=> @t2 @t5))) % 0.44/0.64 (define @t7 () (@var "W1" $$unsorted)) % 0.44/0.64 (define @t8 () (tptp.sdtpldt0 @t1 @t7)) % 0.44/0.64 (define @t9 () (tptp.aInteger0 @t8)) % 0.44/0.64 (define @t10 () (tptp.aInteger0 @t7)) % 0.44/0.64 (define @t11 () (and @t2 @t10)) % 0.44/0.64 (define @t12 () (@list @t1 @t7)) % 0.44/0.64 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.44/0.64 (define @t14 () (tptp.sdtasdt0 @t1 @t7)) % 0.44/0.64 (define @t15 () (tptp.aInteger0 @t14)) % 0.44/0.64 (define @t16 () (forall @t12 (=> @t11 @t15))) % 0.44/0.64 (define @t17 () (@var "W2" $$unsorted)) % 0.44/0.64 (define @t18 () (tptp.sdtpldt0 @t7 @t17)) % 0.44/0.64 (define @t19 () (tptp.aInteger0 @t17)) % 0.44/0.64 (define @t20 () (and @t2 @t10 @t19)) % 0.44/0.64 (define @t21 () (@list @t1 @t7 @t17)) % 0.44/0.64 (define @t22 () (tptp.sdtasdt0 @t7 @t17)) % 0.44/0.64 (define @t23 () (tptp.sdtasdt0 @t1 @t17)) % 0.44/0.64 (define @t24 () (tptp.smndt0 tptp.sz10)) % 0.44/0.64 (define @t25 () (= @t7 tptp.sz00)) % 0.44/0.64 (define @t26 () (= @t1 tptp.sz00)) % 0.44/0.64 (define @t27 () (or @t26 @t25)) % 0.44/0.64 (define @t28 () (=> (= @t14 tptp.sz00) @t27)) % 0.44/0.64 (define @t29 () (=> @t11 @t28)) % 0.44/0.64 (define @t30 () (forall @t12 @t29)) % 0.44/0.64 (define @t31 () (and @t19 (= @t22 @t1))) % 0.44/0.64 (define @t32 () (@list @t17)) % 0.44/0.64 (define @t33 () (exists @t32 @t31)) % 0.44/0.64 (define @t34 () (not @t25)) % 0.44/0.64 (define @t35 () (and @t10 @t34 @t33)) % 0.44/0.64 (define @t36 () (tptp.aDivisorOf0 @t7 @t1)) % 0.44/0.64 (define @t37 () (= @t36 @t35)) % 0.44/0.64 (define @t38 () (@list @t7)) % 0.44/0.64 (define @t39 () (forall @t38 @t37)) % 0.44/0.64 (define @t40 () (=> @t2 @t39)) % 0.44/0.64 (define @t41 () (forall @t3 @t40)) % 0.44/0.64 (define @t42 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t7 @t17)) % 0.44/0.64 (define @t43 () (= @t42 (tptp.aDivisorOf0 @t17 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t7))))) % 0.44/0.64 (define @t44 () (not (= @t17 tptp.sz00))) % 0.44/0.64 (define @t45 () (and @t2 @t10 @t19 @t44)) % 0.44/0.64 (define @t46 () (=> @t45 @t43)) % 0.44/0.64 (define @t47 () (forall @t21 @t46)) % 0.44/0.64 (define @t48 () (@var "W3" $$unsorted)) % 0.44/0.64 (define @t49 () (tptp.aInteger0 tptp.xq)) % 0.44/0.64 (define @t50 () (= tptp.xp tptp.sz00)) % 0.44/0.64 (define @t51 () (tptp.aInteger0 tptp.xp)) % 0.44/0.64 (define @t52 () (tptp.aInteger0 tptp.xb)) % 0.44/0.64 (define @t53 () (tptp.aInteger0 tptp.xa)) % 0.44/0.64 (define @t54 () (tptp.sdtasdt0 tptp.xp tptp.xq)) % 0.44/0.64 (define @t55 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb @t54)) % 0.44/0.64 (define @t56 () (tptp.smndt0 tptp.xb)) % 0.44/0.64 (define @t57 () (tptp.sdtpldt0 tptp.xa @t56)) % 0.44/0.64 (define @t58 () (= (tptp.sdtasdt0 @t54 @t1) @t57)) % 0.44/0.64 (define @t59 () (and @t2 @t58)) % 0.44/0.64 (define @t60 () (exists @t3 @t59)) % 0.44/0.64 (define @t61 () (not @t60)) % 0.44/0.64 (define @t62 () (@var "BOUND_VARIABLE_7686" $$unsorted)) % 0.44/0.64 (define @t63 () (not @t19)) % 0.44/0.64 (define @t64 () (= (tptp.aDivisorOf0 @t62 @t1) (and (tptp.aInteger0 @t62) (not (= tptp.sz00 @t62)) (not (forall @t32 (or @t63 (not (= @t1 (tptp.sdtasdt0 @t62 @t17))))))))) % 0.44/0.64 (define @t65 () (not @t2)) % 0.44/0.64 (define @t66 () (or @t65 @t64)) % 0.44/0.64 (define @t67 () (@list @t62)) % 0.44/0.64 (define @t68 () (forall @t67 @t66)) % 0.44/0.64 (define @t69 () (forall @t67 @t64)) % 0.44/0.64 (define @t70 () (or @t65 @t69)) % 0.44/0.64 (define @t71 () (= @t1 @t22)) % 0.44/0.64 (define @t72 () (= tptp.sz00 @t7)) % 0.44/0.64 (define @t73 () (forall @t38 (= @t36 (and @t10 (not @t72) (not (forall @t32 (or @t63 (not @t71)))))))) % 0.44/0.64 (define @t74 () (and @t19 @t71)) % 0.44/0.64 (define @t75 () (forall @t32 (not @t74))) % 0.44/0.64 (define @t76 () (not @t75)) % 0.44/0.64 (define @t77 () (not @t10)) % 0.44/0.64 (define @t78 () (or @t65 @t77)) % 0.44/0.64 (define @t79 () (not @t11)) % 0.44/0.64 (define @t80 () (tptp.aInteger0 @t56)) % 0.44/0.64 (define @t81 () (not @t52)) % 0.44/0.64 (define @t82 () (or @t81 @t80)) % 0.44/0.64 (define @t83 () (@list false false)) % 0.44/0.64 (define @t84 () (tptp.aInteger0 @t57)) % 0.44/0.64 (define @t85 () (not @t80)) % 0.44/0.64 (define @t86 () (not @t53)) % 0.44/0.64 (define @t87 () (or @t86 @t85 @t84)) % 0.44/0.64 (define @t88 () (@list false false false)) % 0.44/0.64 (define @t89 () (forall @t3 (or @t65 (not @t58)))) % 0.44/0.64 (define @t90 () (forall @t3 (not @t59))) % 0.44/0.64 (define @t91 () (not @t90)) % 0.44/0.64 (define @t92 () (tptp.sdtasdt0 @t54 @t17)) % 0.44/0.64 (define @t93 () (not (= @t92 @t57))) % 0.44/0.64 (define @t94 () (or @t63 @t93)) % 0.44/0.64 (define @t95 () (forall @t32 (or @t63 (not (= @t57 @t92))))) % 0.44/0.64 (define @t96 () (@list false)) % 0.44/0.64 (define @t97 () (not @t95)) % 0.44/0.64 (define @t98 () (= tptp.sz00 @t54)) % 0.44/0.64 (define @t99 () (not @t98)) % 0.44/0.64 (define @t100 () (tptp.aInteger0 @t54)) % 0.44/0.64 (define @t101 () (and @t100 @t99 @t97)) % 0.44/0.64 (define @t102 () (not @t101)) % 0.44/0.64 (define @t103 () (= tptp.sz00 @t17)) % 0.44/0.64 (define @t104 () (not @t103)) % 0.44/0.64 (define @t105 () (not @t104)) % 0.44/0.64 (define @t106 () (or @t65 @t77 @t63 @t105)) % 0.44/0.64 (define @t107 () (and @t2 @t10 @t19 @t104)) % 0.44/0.64 (define @t108 () (@list tptp.xp tptp.xq)) % 0.44/0.64 (define @t109 () (not @t49)) % 0.44/0.64 (define @t110 () (not @t51)) % 0.44/0.64 (define @t111 () (or @t110 @t109 @t100)) % 0.44/0.64 (define @t112 () (= tptp.sz00 @t14)) % 0.44/0.64 (define @t113 () (not @t112)) % 0.44/0.64 (define @t114 () (or @t65 @t77 @t113 @t26 @t72)) % 0.44/0.64 (define @t115 () (or @t113 @t26 @t72)) % 0.44/0.64 (define @t116 () (or @t26 @t72)) % 0.44/0.64 (define @t117 () (=> @t112 @t116)) % 0.44/0.64 (define @t118 () (= tptp.sz00 tptp.xq)) % 0.44/0.64 (define @t119 () (or @t110 @t109 @t99 @t50 @t118)) % 0.44/0.64 (define @t120 () (forall @t12 @t114)) % 0.44/0.64 (define @t121 () (= tptp.sz00 tptp.xp)) % 0.44/0.64 (define @t122 () (or @t110 @t109 @t99 @t121 @t118)) % 0.44/0.64 (define @t123 () (tptp.aDivisorOf0 @t54 @t57)) % 0.44/0.64 (define @t124 () (= @t55 @t123)) % 0.44/0.64 (define @t125 () (not @t100)) % 0.44/0.64 (define @t126 () (or @t86 @t81 @t125 @t98 @t124)) % 0.44/0.64 (define @t127 () (= @t123 @t101)) % 0.44/0.64 (define @t128 () (not @t127)) % 0.44/0.64 (define @t129 () (not @t84)) % 0.44/0.64 (define @t130 () (or @t129 @t127)) % 0.44/0.64 (assume @p1 (forall @t3 (=> @t2 true))) % 0.44/0.64 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 0.44/0.64 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 0.44/0.64 (assume @p4 @t6) % 0.44/0.64 (assume @p5 @t13) % 0.44/0.64 (assume @p6 @t16) % 0.44/0.64 (assume @p7 (forall @t21 (=> @t20 (= (tptp.sdtpldt0 @t1 @t18) (tptp.sdtpldt0 @t8 @t17))))) % 0.44/0.64 (assume @p8 (forall @t12 (=> @t11 (= @t8 (tptp.sdtpldt0 @t7 @t1))))) % 0.44/0.64 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.44/0.64 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.44/0.64 (assume @p11 (forall @t21 (=> @t20 (= (tptp.sdtasdt0 @t1 @t22) (tptp.sdtasdt0 @t14 @t17))))) % 0.44/0.64 (assume @p12 (forall @t12 (=> @t11 (= @t14 (tptp.sdtasdt0 @t7 @t1))))) % 0.44/0.64 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.44/0.64 (assume @p14 (forall @t21 (=> @t20 (and (= (tptp.sdtasdt0 @t1 @t18) (tptp.sdtpldt0 @t14 @t23)) (= (tptp.sdtasdt0 @t8 @t17) (tptp.sdtpldt0 @t23 @t22)))))) % 0.44/0.64 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.44/0.64 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t24 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t24)))))) % 0.44/0.64 (assume @p17 @t30) % 0.44/0.64 (assume @p18 @t41) % 0.44/0.64 (assume @p19 @t47) % 0.44/0.64 (assume @p20 (forall @t12 (=> (and @t2 @t10 @t34) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t7)))) % 0.44/0.64 (assume @p21 (forall @t21 (=> @t45 (=> @t42 (tptp.sdteqdtlpzmzozddtrp0 @t7 @t1 @t17))))) % 0.44/0.64 (assume @p22 (forall (@list @t1 @t7 @t17 @t48) (=> (and @t2 @t10 @t19 @t44 (tptp.aInteger0 @t48)) (=> (and @t42 (tptp.sdteqdtlpzmzozddtrp0 @t7 @t48 @t17)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t48 @t17))))) % 0.44/0.64 (assume @p23 (and @t53 @t52 @t51 (not @t50) @t49 (not (= tptp.xq tptp.sz00)))) % 0.44/0.64 (assume @p24 @t55) % 0.44/0.64 (assume @p25 @t61) % 0.44/0.64 (assume @p26 true) % 0.44/0.64 (step @p27 :rule quant-merge-prenex :args ((= (forall @t3 @t68) (forall (@list @t1 @t62) @t66)))) % 0.44/0.64 (step @p28 :rule alpha_equiv :args (@t69 (@list @t62) (@list @t7))) % 0.44/0.64 (step @p29 :rule refl :args (@t65)) % 0.44/0.64 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t70)) % 0.44/0.64 (step @p31 :rule quant-miniscope-or :args ((= @t68 @t70))) % 0.44/0.64 (step @p32 :rule trans :premises (@p31 @p30)) % 0.44/0.64 (step @p33 :rule symm :premises (@p32)) % 0.44/0.64 (step @p34 :rule cong :premises (@p33) :args ((forall @t3 (or @t65 @t73)))) % 0.44/0.64 (step @p35 :rule trans :premises (@p34 @p27)) % 0.44/0.64 (step @p36 :rule bool-impl-elim :args (@t2 @t73)) % 0.44/0.64 (step @p37 :rule cong :premises (@p36) :args ((forall @t3 (=> @t2 @t73)))) % 0.44/0.64 (step @p38 :rule trans :premises (@p37 @p35)) % 0.44/0.64 (step @p39 :rule bool-and-de-morgan :args (@t19 @t71 true)) % 0.44/0.64 (step @p40 :rule cong :premises (@p39) :args (@t75)) % 0.44/0.64 (step @p41 :rule cong :premises (@p40) :args (@t76)) % 0.44/0.64 (step @p42 :rule exists-elim :args ((= (exists @t32 @t74) @t76))) % 0.44/0.64 (step @p43 :rule trans :premises (@p42 @p41)) % 0.44/0.64 (step @p44 :rule eq-symm :args (@t22 @t1)) % 0.44/0.64 (step @p45 :rule refl :args (@t19)) % 0.44/0.64 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t31)) % 0.44/0.64 (step @p47 :rule cong :premises (@p46) :args (@t33)) % 0.44/0.64 (step @p48 :rule trans :premises (@p47 @p43)) % 0.44/0.64 (step @p49 :rule eq-symm :args (@t7 tptp.sz00)) % 0.44/0.64 (step @p50 :rule cong :premises (@p49) :args (@t34)) % 0.44/0.64 (step @p51 :rule refl :args (@t10)) % 0.44/0.64 (step @p52 :rule nary_cong :premises (@p51 @p50 @p48) :args (@t35)) % 0.44/0.64 (step @p53 :rule refl :args (@t36)) % 0.44/0.64 (step @p54 :rule cong :premises (@p53 @p52) :args (@t37)) % 0.44/0.64 (step @p55 :rule cong :premises (@p54) :args (@t39)) % 0.44/0.64 (step @p56 :rule refl :args (@t2)) % 0.44/0.64 (step @p57 :rule cong :premises (@p56 @p55) :args (@t40)) % 0.44/0.64 (step @p58 :rule cong :premises (@p57) :args (@t41)) % 0.44/0.64 (step @p59 :rule trans :premises (@p58 @p38)) % 0.44/0.64 (step @p60 :rule eq_resolve :premises (@p18 @p59)) % 0.44/0.64 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t57 @t54))) % 0.44/0.64 (step @p62 :rule aci_norm :args ((= (or @t78 @t9) (or @t65 @t77 @t9)))) % 0.44/0.64 (step @p63 :rule refl :args (@t9)) % 0.44/0.64 (step @p64 :rule bool-and-de-morgan :args (@t2 @t10 true)) % 0.44/0.64 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t79 @t9))) % 0.44/0.64 (step @p66 :rule trans :premises (@p65 @p62)) % 0.44/0.64 (step @p67 :rule bool-impl-elim :args (@t11 @t9)) % 0.44/0.64 (step @p68 :rule trans :premises (@p67 @p66)) % 0.44/0.64 (step @p69 :rule cong :premises (@p68) :args (@t13)) % 0.44/0.64 (step @p70 :rule eq_resolve :premises (@p5 @p69)) % 0.44/0.64 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.xa @t56))) % 0.44/0.64 (step @p72 :rule bool-impl-elim :args (@t2 @t5)) % 0.44/0.64 (step @p73 :rule cong :premises (@p72) :args (@t6)) % 0.44/0.64 (step @p74 :rule eq_resolve :premises (@p4 @p73)) % 0.44/0.64 (step @p75 :rule instantiate :premises (@p74) :args ((@list tptp.xb))) % 0.44/0.64 (step @p76 :rule and_elim :premises (@p23) :args (1)) % 0.44/0.64 (step @p77 :rule cnf_or_pos :args (@t82)) % 0.44/0.64 (step @p78 :rule reordering :premises (@p77) :args ((or @t81 @t80 (not @t82)))) % 0.44/0.64 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p75) :args (@t80 @t83 (@list @t52 @t82))) % 0.44/0.64 (step @p80 :rule and_elim :premises (@p23) :args (0)) % 0.44/0.64 (step @p81 :rule cnf_or_pos :args (@t87)) % 0.44/0.64 (step @p82 :rule reordering :premises (@p81) :args ((or @t86 @t85 @t84 (not @t87)))) % 0.44/0.64 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p79 @p71) :args (@t84 @t88 (@list @t53 @t80 @t87))) % 0.44/0.64 (step @p84 :rule bool-double-not-elim :args (@t89)) % 0.44/0.64 (step @p85 :rule bool-and-de-morgan :args (@t2 @t58 true)) % 0.44/0.64 (step @p86 :rule cong :premises (@p85) :args (@t90)) % 0.44/0.64 (step @p87 :rule cong :premises (@p86) :args (@t91)) % 0.44/0.64 (step @p88 :rule exists-elim :args ((= @t60 @t91))) % 0.44/0.64 (step @p89 :rule trans :premises (@p88 @p87)) % 0.44/0.64 (step @p90 :rule cong :premises (@p89) :args (@t61)) % 0.44/0.64 (step @p91 :rule trans :premises (@p90 @p84)) % 0.44/0.64 (step @p92 :rule eq_resolve :premises (@p25 @p91)) % 0.44/0.64 (step @p93 :rule eq-symm :args (@t92 @t57)) % 0.44/0.64 (step @p94 :rule cong :premises (@p93) :args (@t93)) % 0.44/0.64 (step @p95 :rule refl :args (@t63)) % 0.44/0.64 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t94)) % 0.44/0.64 (step @p97 :rule cong :premises (@p96) :args ((forall @t32 @t94))) % 0.44/0.64 (step @p98 :rule alpha_equiv :args (@t89 (@list @t1) (@list @t17))) % 0.44/0.64 (step @p99 :rule trans :premises (@p98 @p97)) % 0.44/0.64 (step @p100 :rule equiv_elim1 :premises (@p99)) % 0.44/0.64 (step @p101 :rule chain_m_resolution :premises (@p100 @p92) :args (@t95 @t96 (@list @t89))) % 0.44/0.64 (step @p102 :rule cnf_and_pos :args (@t101 2)) % 0.44/0.64 (step @p103 :rule reordering :premises (@p102) :args ((or @t97 @t102))) % 0.44/0.64 (step @p104 :rule chain_m_resolution :premises (@p103 @p101) :args (@t102 @t96 (@list @t95))) % 0.44/0.64 (step @p105 :rule aci_norm :args ((= (or (or @t65 @t77 @t63 @t103) @t43) (or @t65 @t77 @t63 @t103 @t43)))) % 0.44/0.64 (step @p106 :rule refl :args (@t43)) % 0.44/0.64 (step @p107 :rule bool-double-not-elim :args (@t103)) % 0.44/0.64 (step @p108 :rule refl :args (@t63)) % 0.44/0.64 (step @p109 :rule refl :args (@t77)) % 0.44/0.64 (step @p110 :rule nary_cong :premises (@p29 @p109 @p108 @p107) :args (@t106)) % 0.44/0.64 (step @p111 :rule aci_norm :args ((= (or @t65 (or @t77 (or @t63 @t105))) @t106))) % 0.44/0.64 (step @p112 :rule trans :premises (@p111 @p110)) % 0.44/0.64 (step @p113 :rule bool-and-de-morgan :args (@t19 @t104 true)) % 0.44/0.64 (step @p114 :rule nary_cong :premises (@p109 @p113) :args ((or @t77 (not (and @t19 @t104))))) % 0.44/0.64 (step @p115 :rule bool-and-de-morgan :args (@t10 @t19 (and @t104))) % 0.44/0.64 (step @p116 :rule trans :premises (@p115 @p114)) % 0.44/0.64 (step @p117 :rule nary_cong :premises (@p29 @p116) :args ((or @t65 (not (and @t10 @t19 @t104))))) % 0.44/0.64 (step @p118 :rule bool-and-de-morgan :args (@t2 @t10 (and @t19 @t104))) % 0.44/0.64 (step @p119 :rule trans :premises (@p118 @p117)) % 0.44/0.64 (step @p120 :rule trans :premises (@p119 @p112)) % 0.44/0.64 (step @p121 :rule nary_cong :premises (@p120 @p106) :args ((or (not @t107) @t43))) % 0.44/0.64 (step @p122 :rule trans :premises (@p121 @p105)) % 0.44/0.64 (step @p123 :rule bool-impl-elim :args (@t107 @t43)) % 0.44/0.64 (step @p124 :rule trans :premises (@p123 @p122)) % 0.44/0.64 (step @p125 :rule cong :premises (@p124) :args ((forall @t21 (=> @t107 @t43)))) % 0.44/0.64 (step @p126 :rule refl :args (@t43)) % 0.44/0.64 (step @p127 :rule eq-symm :args (@t17 tptp.sz00)) % 0.44/0.64 (step @p128 :rule cong :premises (@p127) :args (@t44)) % 0.44/0.64 (step @p129 :rule nary_cong :premises (@p56 @p51 @p45 @p128) :args (@t45)) % 0.44/0.64 (step @p130 :rule cong :premises (@p129 @p126) :args (@t46)) % 0.44/0.64 (step @p131 :rule cong :premises (@p130) :args (@t47)) % 0.44/0.64 (step @p132 :rule trans :premises (@p131 @p125)) % 0.44/0.64 (step @p133 :rule eq_resolve :premises (@p19 @p132)) % 0.44/0.64 (step @p134 :rule instantiate :premises (@p133) :args ((@list tptp.xa tptp.xb @t54))) % 0.44/0.64 (step @p135 :rule aci_norm :args ((= (or @t78 @t15) (or @t65 @t77 @t15)))) % 0.44/0.64 (step @p136 :rule refl :args (@t15)) % 0.44/0.64 (step @p137 :rule nary_cong :premises (@p64 @p136) :args ((or @t79 @t15))) % 0.44/0.64 (step @p138 :rule trans :premises (@p137 @p135)) % 0.44/0.64 (step @p139 :rule bool-impl-elim :args (@t11 @t15)) % 0.44/0.64 (step @p140 :rule trans :premises (@p139 @p138)) % 0.44/0.64 (step @p141 :rule cong :premises (@p140) :args (@t16)) % 0.44/0.64 (step @p142 :rule eq_resolve :premises (@p6 @p141)) % 0.44/0.64 (step @p143 :rule instantiate :premises (@p142) :args (@t108)) % 0.44/0.64 (step @p144 :rule and_elim :premises (@p23) :args (4)) % 0.44/0.64 (step @p145 :rule and_elim :premises (@p23) :args (2)) % 0.44/0.64 (step @p146 :rule cnf_or_pos :args (@t111)) % 0.44/0.64 (step @p147 :rule reordering :premises (@p146) :args ((or @t110 @t109 @t100 (not @t111)))) % 0.44/0.64 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p144 @p143) :args (@t100 @t88 (@list @t51 @t49 @t111))) % 0.44/0.64 (step @p149 :rule aci_norm :args ((= (or @t78 @t115) @t114))) % 0.44/0.64 (step @p150 :rule aci_norm :args ((= (or @t113 @t116) @t115))) % 0.44/0.64 (step @p151 :rule bool-impl-elim :args (@t112 @t116)) % 0.44/0.64 (step @p152 :rule trans :premises (@p151 @p150)) % 0.44/0.64 (step @p153 :rule nary_cong :premises (@p64 @p152) :args ((or @t79 @t117))) % 0.44/0.64 (step @p154 :rule trans :premises (@p153 @p149)) % 0.44/0.64 (step @p155 :rule bool-impl-elim :args (@t11 @t117)) % 0.44/0.64 (step @p156 :rule trans :premises (@p155 @p154)) % 0.44/0.64 (step @p157 :rule cong :premises (@p156) :args ((forall @t12 (=> @t11 @t117)))) % 0.44/0.64 (step @p158 :rule refl :args (@t26)) % 0.44/0.64 (step @p159 :rule nary_cong :premises (@p158 @p49) :args (@t27)) % 0.44/0.64 (step @p160 :rule eq-symm :args (@t14 tptp.sz00)) % 0.44/0.64 (step @p161 :rule cong :premises (@p160 @p159) :args (@t28)) % 0.44/0.64 (step @p162 :rule refl :args (@t11)) % 0.44/0.64 (step @p163 :rule cong :premises (@p162 @p161) :args (@t29)) % 0.44/0.64 (step @p164 :rule cong :premises (@p163) :args (@t30)) % 0.44/0.64 (step @p165 :rule trans :premises (@p164 @p157)) % 0.44/0.64 (step @p166 :rule eq_resolve :premises (@p17 @p165)) % 0.44/0.64 (step @p167 :rule refl :args (@t118)) % 0.44/0.64 (step @p168 :rule eq-symm :args (tptp.xp tptp.sz00)) % 0.44/0.64 (step @p169 :rule refl :args (@t99)) % 0.44/0.64 (step @p170 :rule refl :args (@t109)) % 0.44/0.64 (step @p171 :rule refl :args (@t110)) % 0.44/0.64 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169 @p168 @p167) :args (@t119)) % 0.44/0.64 (step @p173 :rule refl :args (@t120)) % 0.44/0.64 (step @p174 :rule cong :premises (@p173 @p172) :args ((=> @t120 @t119))) % 0.44/0.64 (assume-push @p201 @t120) % 0.44/0.64 (step @p176 :rule instantiate :premises (@p166) :args (@t108)) % 0.44/0.64 (step-pop @p202 :rule scope :premises (@p176)) % 0.44/0.64 (step @p177 :rule process_scope :premises (@p202) :args (@t119)) % 0.44/0.64 (step @p179 :rule eq_resolve :premises (@p177 @p174)) % 0.44/0.64 (step @p180 :rule implies_elim :premises (@p179)) % 0.44/0.64 (step @p181 :rule chain_m_resolution :premises (@p180 @p166) :args (@t122 @t96 (@list @t120))) % 0.44/0.64 (step @p182 :rule and_elim :premises (@p23) :args (3)) % 0.44/0.64 (step @p183 :rule symm :premises (@p182)) % 0.44/0.64 (step @p184 :rule and_elim :premises (@p23) :args (5)) % 0.44/0.64 (step @p185 :rule symm :premises (@p184)) % 0.44/0.64 (step @p186 :rule cnf_or_pos :args (@t122)) % 0.44/0.64 (step @p187 :rule reordering :premises (@p186) :args ((or @t118 @t121 @t110 @t109 @t99 (not @t122)))) % 0.44/0.64 (step @p188 :rule chain_m_resolution :premises (@p187 @p185 @p183 @p145 @p144 @p181) :args (@t99 (@list true true false false false) (@list @t118 @t121 @t51 @t49 @t122))) % 0.44/0.64 (step @p189 :rule cnf_or_pos :args (@t126)) % 0.44/0.64 (step @p190 :rule reordering :premises (@p189) :args ((or @t86 @t81 @t98 @t125 @t124 (not @t126)))) % 0.44/0.64 (step @p191 :rule chain_m_resolution :premises (@p190 @p80 @p76 @p188 @p148 @p134) :args (@t124 (@list false false true false false) (@list @t53 @t52 @t98 @t100 @t126))) % 0.44/0.64 (step @p192 :rule cnf_equiv_pos1 :args (@t124)) % 0.44/0.64 (step @p193 :rule reordering :premises (@p192) :args ((or (not @t55) @t123 (not @t124)))) % 0.44/0.64 (step @p194 :rule chain_m_resolution :premises (@p193 @p24 @p191) :args (@t123 @t83 (@list @t55 @t124))) % 0.44/0.64 (step @p195 :rule cnf_equiv_pos1 :args (@t127)) % 0.44/0.64 (step @p196 :rule reordering :premises (@p195) :args ((or (not @t123) @t101 @t128))) % 0.44/0.64 (step @p197 :rule chain_m_resolution :premises (@p196 @p194 @p104) :args (@t128 (@list false true) (@list @t123 @t101))) % 0.44/0.64 (step @p198 :rule cnf_or_pos :args (@t130)) % 0.44/0.64 (step @p199 :rule reordering :premises (@p198) :args ((or @t129 @t127 (not @t130)))) % 0.44/0.64 (step @p200 false :rule chain_m_resolution :premises (@p199 @p197 @p83 @p61) :args (false (@list true false false) (@list @t127 @t84 @t130))) % 0.44/0.64 ) % 0.44/0.64 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------