%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM436+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 : n007.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 0.72s 1.00s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM436+1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 11:17:56 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.72/1.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.72/1.00 % SZS status Theorem % 0.72/1.00 % SZS output start Proof % 0.72/1.00 ( % 0.72/1.00 (declare-sort $$unsorted 0) % 0.72/1.00 (declare-const tptp.xa $$unsorted) % 0.72/1.00 (declare-const tptp.xb $$unsorted) % 0.72/1.00 (declare-const tptp.xq $$unsorted) % 0.72/1.00 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.xm $$unsorted) % 0.72/1.00 (declare-const tptp.xp $$unsorted) % 0.72/1.00 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.72/1.00 (declare-const tptp.sz10 $$unsorted) % 0.72/1.00 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.72/1.00 (declare-const tptp.sz00 $$unsorted) % 0.72/1.00 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.72/1.00 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 0.72/1.00 (define @t1 () (@var "W0" $$unsorted)) % 0.72/1.00 (define @t2 () (tptp.aInteger0 @t1)) % 0.72/1.00 (define @t3 () (@list @t1)) % 0.72/1.00 (define @t4 () (tptp.smndt0 @t1)) % 0.72/1.00 (define @t5 () (tptp.aInteger0 @t4)) % 0.72/1.00 (define @t6 () (forall @t3 (=> @t2 @t5))) % 0.72/1.00 (define @t7 () (@var "W1" $$unsorted)) % 0.72/1.00 (define @t8 () (tptp.sdtpldt0 @t1 @t7)) % 0.72/1.00 (define @t9 () (tptp.aInteger0 @t8)) % 0.72/1.00 (define @t10 () (tptp.aInteger0 @t7)) % 0.72/1.00 (define @t11 () (and @t2 @t10)) % 0.72/1.00 (define @t12 () (@list @t1 @t7)) % 0.72/1.00 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.72/1.00 (define @t14 () (tptp.sdtasdt0 @t1 @t7)) % 0.72/1.00 (define @t15 () (tptp.aInteger0 @t14)) % 0.72/1.00 (define @t16 () (forall @t12 (=> @t11 @t15))) % 0.72/1.00 (define @t17 () (@var "W2" $$unsorted)) % 0.72/1.00 (define @t18 () (tptp.sdtpldt0 @t7 @t17)) % 0.72/1.00 (define @t19 () (tptp.aInteger0 @t17)) % 0.72/1.00 (define @t20 () (and @t2 @t10 @t19)) % 0.72/1.00 (define @t21 () (@list @t1 @t7 @t17)) % 0.72/1.00 (define @t22 () (tptp.sdtasdt0 @t7 @t17)) % 0.72/1.00 (define @t23 () (tptp.sdtasdt0 @t1 @t17)) % 0.72/1.00 (define @t24 () (tptp.smndt0 tptp.sz10)) % 0.72/1.00 (define @t25 () (= @t7 tptp.sz00)) % 0.72/1.00 (define @t26 () (and @t19 (= @t22 @t1))) % 0.72/1.00 (define @t27 () (@list @t17)) % 0.72/1.00 (define @t28 () (exists @t27 @t26)) % 0.72/1.00 (define @t29 () (not @t25)) % 0.72/1.00 (define @t30 () (and @t10 @t29 @t28)) % 0.72/1.00 (define @t31 () (tptp.aDivisorOf0 @t7 @t1)) % 0.72/1.00 (define @t32 () (= @t31 @t30)) % 0.72/1.00 (define @t33 () (@list @t7)) % 0.72/1.00 (define @t34 () (forall @t33 @t32)) % 0.72/1.00 (define @t35 () (=> @t2 @t34)) % 0.72/1.00 (define @t36 () (forall @t3 @t35)) % 0.72/1.00 (define @t37 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t7 @t17)) % 0.72/1.00 (define @t38 () (= @t37 (tptp.aDivisorOf0 @t17 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t7))))) % 0.72/1.00 (define @t39 () (not (= @t17 tptp.sz00))) % 0.72/1.00 (define @t40 () (and @t2 @t10 @t19 @t39)) % 0.72/1.00 (define @t41 () (=> @t40 @t38)) % 0.72/1.00 (define @t42 () (forall @t21 @t41)) % 0.72/1.00 (define @t43 () (@var "W3" $$unsorted)) % 0.72/1.00 (define @t44 () (tptp.aInteger0 tptp.xq)) % 0.72/1.00 (define @t45 () (tptp.aInteger0 tptp.xp)) % 0.72/1.00 (define @t46 () (tptp.aInteger0 tptp.xb)) % 0.72/1.00 (define @t47 () (tptp.aInteger0 tptp.xa)) % 0.72/1.00 (define @t48 () (tptp.sdtasdt0 tptp.xp tptp.xq)) % 0.72/1.00 (define @t49 () (tptp.smndt0 tptp.xb)) % 0.72/1.00 (define @t50 () (tptp.sdtpldt0 tptp.xa @t49)) % 0.72/1.00 (define @t51 () (tptp.aInteger0 tptp.xm)) % 0.72/1.00 (define @t52 () (tptp.sdtasdt0 tptp.xp tptp.xm)) % 0.72/1.00 (define @t53 () (= @t50 (tptp.sdtasdt0 tptp.xq @t52))) % 0.72/1.00 (define @t54 () (tptp.sdtasdt0 tptp.xq tptp.xm)) % 0.72/1.00 (define @t55 () (tptp.sdtasdt0 tptp.xp @t54)) % 0.72/1.00 (define @t56 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq)) % 0.72/1.01 (define @t57 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xp)) % 0.72/1.01 (define @t58 () (= tptp.sz00 @t17)) % 0.72/1.01 (define @t59 () (not @t19)) % 0.72/1.01 (define @t60 () (not @t10)) % 0.72/1.01 (define @t61 () (not @t2)) % 0.72/1.01 (define @t62 () (not @t58)) % 0.72/1.01 (define @t63 () (not @t62)) % 0.72/1.01 (define @t64 () (or @t61 @t60 @t59 @t63)) % 0.72/1.01 (define @t65 () (and @t2 @t10 @t19 @t62)) % 0.72/1.01 (define @t66 () (tptp.aDivisorOf0 tptp.xp @t50)) % 0.72/1.01 (define @t67 () (= @t57 @t66)) % 0.72/1.01 (define @t68 () (= tptp.sz00 tptp.xp)) % 0.72/1.01 (define @t69 () (not @t45)) % 0.72/1.01 (define @t70 () (not @t46)) % 0.72/1.01 (define @t71 () (not @t47)) % 0.72/1.01 (define @t72 () (or @t71 @t70 @t69 @t68 @t67)) % 0.72/1.01 (define @t73 () (@list true false false false false)) % 0.72/1.01 (define @t74 () (@var "BOUND_VARIABLE_7700" $$unsorted)) % 0.72/1.01 (define @t75 () (= (tptp.aDivisorOf0 @t74 @t1) (and (tptp.aInteger0 @t74) (not (= tptp.sz00 @t74)) (not (forall @t27 (or @t59 (not (= @t1 (tptp.sdtasdt0 @t74 @t17))))))))) % 0.72/1.01 (define @t76 () (or @t61 @t75)) % 0.72/1.01 (define @t77 () (@list @t74)) % 0.72/1.01 (define @t78 () (forall @t77 @t76)) % 0.72/1.01 (define @t79 () (forall @t77 @t75)) % 0.72/1.01 (define @t80 () (or @t61 @t79)) % 0.72/1.01 (define @t81 () (= @t1 @t22)) % 0.72/1.01 (define @t82 () (forall @t33 (= @t31 (and @t10 (not (= tptp.sz00 @t7)) (not (forall @t27 (or @t59 (not @t81)))))))) % 0.72/1.01 (define @t83 () (and @t19 @t81)) % 0.72/1.01 (define @t84 () (forall @t27 (not @t83))) % 0.72/1.01 (define @t85 () (not @t84)) % 0.72/1.01 (define @t86 () (or @t61 @t60)) % 0.72/1.01 (define @t87 () (not @t11)) % 0.72/1.01 (define @t88 () (tptp.aInteger0 @t49)) % 0.72/1.01 (define @t89 () (or @t70 @t88)) % 0.72/1.01 (define @t90 () (@list false false)) % 0.72/1.01 (define @t91 () (tptp.aInteger0 @t50)) % 0.72/1.01 (define @t92 () (not @t88)) % 0.72/1.01 (define @t93 () (or @t71 @t92 @t91)) % 0.72/1.01 (define @t94 () (@list false false false)) % 0.72/1.01 (define @t95 () (forall @t27 (or @t59 (not (= @t50 (tptp.sdtasdt0 tptp.xp @t17)))))) % 0.72/1.01 (define @t96 () (not @t95)) % 0.72/1.01 (define @t97 () (not @t68)) % 0.72/1.01 (define @t98 () (and @t45 @t97 @t96)) % 0.72/1.01 (define @t99 () (= @t66 @t98)) % 0.72/1.01 (define @t100 () (not @t91)) % 0.72/1.01 (define @t101 () (or @t100 @t99)) % 0.72/1.01 (define @t102 () (tptp.aInteger0 @t54)) % 0.72/1.01 (define @t103 () (not @t51)) % 0.72/1.01 (define @t104 () (not @t44)) % 0.72/1.01 (define @t105 () (or @t104 @t103 @t102)) % 0.72/1.01 (define @t106 () (= @t50 @t55)) % 0.72/1.01 (define @t107 () (not @t106)) % 0.72/1.01 (define @t108 () (not @t102)) % 0.72/1.01 (define @t109 () (or @t108 @t107)) % 0.72/1.01 (define @t110 () (not @t109)) % 0.72/1.01 (define @t111 () (@list true)) % 0.72/1.01 (define @t112 () (@list true false true)) % 0.72/1.01 (define @t113 () (tptp.aDivisorOf0 tptp.xq @t50)) % 0.72/1.01 (define @t114 () (= @t56 @t113)) % 0.72/1.01 (define @t115 () (= tptp.sz00 tptp.xq)) % 0.72/1.01 (define @t116 () (or @t71 @t70 @t104 @t115 @t114)) % 0.72/1.01 (define @t117 () (forall @t27 (or @t59 (not (= @t50 (tptp.sdtasdt0 tptp.xq @t17)))))) % 0.72/1.01 (define @t118 () (not @t117)) % 0.72/1.01 (define @t119 () (not @t115)) % 0.72/1.01 (define @t120 () (and @t44 @t119 @t118)) % 0.72/1.01 (define @t121 () (= @t113 @t120)) % 0.72/1.01 (define @t122 () (or @t100 @t121)) % 0.72/1.01 (define @t123 () (tptp.aInteger0 @t52)) % 0.72/1.01 (define @t124 () (or @t69 @t103 @t123)) % 0.72/1.01 (define @t125 () (not @t53)) % 0.72/1.01 (define @t126 () (not @t123)) % 0.72/1.01 (define @t127 () (or @t126 @t125)) % 0.72/1.01 (define @t128 () (not @t127)) % 0.72/1.01 (assume @p1 (forall @t3 (=> @t2 true))) % 0.72/1.01 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 0.72/1.01 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 0.72/1.01 (assume @p4 @t6) % 0.72/1.01 (assume @p5 @t13) % 0.72/1.01 (assume @p6 @t16) % 0.72/1.01 (assume @p7 (forall @t21 (=> @t20 (= (tptp.sdtpldt0 @t1 @t18) (tptp.sdtpldt0 @t8 @t17))))) % 0.72/1.01 (assume @p8 (forall @t12 (=> @t11 (= @t8 (tptp.sdtpldt0 @t7 @t1))))) % 0.72/1.01 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.72/1.01 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.72/1.01 (assume @p11 (forall @t21 (=> @t20 (= (tptp.sdtasdt0 @t1 @t22) (tptp.sdtasdt0 @t14 @t17))))) % 0.72/1.01 (assume @p12 (forall @t12 (=> @t11 (= @t14 (tptp.sdtasdt0 @t7 @t1))))) % 0.72/1.01 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.72/1.01 (assume @p14 (forall @t21 (=> @t20 (and (= (tptp.sdtasdt0 @t1 @t18) (tptp.sdtpldt0 @t14 @t23)) (= (tptp.sdtasdt0 @t8 @t17) (tptp.sdtpldt0 @t23 @t22)))))) % 0.72/1.01 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.72/1.01 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t24 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t24)))))) % 0.72/1.01 (assume @p17 (forall @t12 (=> @t11 (=> (= @t14 tptp.sz00) (or (= @t1 tptp.sz00) @t25))))) % 0.72/1.01 (assume @p18 @t36) % 0.72/1.01 (assume @p19 @t42) % 0.72/1.01 (assume @p20 (forall @t12 (=> (and @t2 @t10 @t29) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t7)))) % 0.72/1.01 (assume @p21 (forall @t21 (=> @t40 (=> @t37 (tptp.sdteqdtlpzmzozddtrp0 @t7 @t1 @t17))))) % 0.72/1.01 (assume @p22 (forall (@list @t1 @t7 @t17 @t43) (=> (and @t2 @t10 @t19 @t39 (tptp.aInteger0 @t43)) (=> (and @t37 (tptp.sdteqdtlpzmzozddtrp0 @t7 @t43 @t17)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t43 @t17))))) % 0.72/1.01 (assume @p23 (and @t47 @t46 @t45 (not (= tptp.xp tptp.sz00)) @t44 (not (= tptp.xq tptp.sz00)))) % 0.72/1.01 (assume @p24 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb @t48)) % 0.72/1.01 (assume @p25 (and @t51 (= (tptp.sdtasdt0 @t48 tptp.xm) @t50))) % 0.72/1.01 (assume @p26 (and (= @t55 @t50) @t53)) % 0.72/1.01 (assume @p27 (not (and @t57 @t56))) % 0.72/1.01 (assume @p28 true) % 0.72/1.01 (step @p29 :rule aci_norm :args ((= (or (or @t61 @t60 @t59 @t58) @t38) (or @t61 @t60 @t59 @t58 @t38)))) % 0.72/1.01 (step @p30 :rule refl :args (@t38)) % 0.72/1.01 (step @p31 :rule bool-double-not-elim :args (@t58)) % 0.72/1.01 (step @p32 :rule refl :args (@t59)) % 0.72/1.01 (step @p33 :rule refl :args (@t60)) % 0.72/1.01 (step @p34 :rule refl :args (@t61)) % 0.72/1.01 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32 @p31) :args (@t64)) % 0.72/1.01 (step @p36 :rule aci_norm :args ((= (or @t61 (or @t60 (or @t59 @t63))) @t64))) % 0.72/1.01 (step @p37 :rule trans :premises (@p36 @p35)) % 0.72/1.01 (step @p38 :rule bool-and-de-morgan :args (@t19 @t62 true)) % 0.72/1.01 (step @p39 :rule nary_cong :premises (@p33 @p38) :args ((or @t60 (not (and @t19 @t62))))) % 0.72/1.01 (step @p40 :rule bool-and-de-morgan :args (@t10 @t19 (and @t62))) % 0.72/1.01 (step @p41 :rule trans :premises (@p40 @p39)) % 0.72/1.01 (step @p42 :rule nary_cong :premises (@p34 @p41) :args ((or @t61 (not (and @t10 @t19 @t62))))) % 0.72/1.01 (step @p43 :rule bool-and-de-morgan :args (@t2 @t10 (and @t19 @t62))) % 0.72/1.01 (step @p44 :rule trans :premises (@p43 @p42)) % 0.72/1.01 (step @p45 :rule trans :premises (@p44 @p37)) % 0.72/1.01 (step @p46 :rule nary_cong :premises (@p45 @p30) :args ((or (not @t65) @t38))) % 0.72/1.01 (step @p47 :rule trans :premises (@p46 @p29)) % 0.72/1.01 (step @p48 :rule bool-impl-elim :args (@t65 @t38)) % 0.72/1.01 (step @p49 :rule trans :premises (@p48 @p47)) % 0.72/1.01 (step @p50 :rule cong :premises (@p49) :args ((forall @t21 (=> @t65 @t38)))) % 0.72/1.01 (step @p51 :rule refl :args (@t38)) % 0.72/1.01 (step @p52 :rule eq-symm :args (@t17 tptp.sz00)) % 0.72/1.01 (step @p53 :rule cong :premises (@p52) :args (@t39)) % 0.72/1.01 (step @p54 :rule refl :args (@t19)) % 0.72/1.01 (step @p55 :rule refl :args (@t10)) % 0.72/1.01 (step @p56 :rule refl :args (@t2)) % 0.72/1.01 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54 @p53) :args (@t40)) % 0.72/1.01 (step @p58 :rule cong :premises (@p57 @p51) :args (@t41)) % 0.72/1.01 (step @p59 :rule cong :premises (@p58) :args (@t42)) % 0.72/1.01 (step @p60 :rule trans :premises (@p59 @p50)) % 0.72/1.01 (step @p61 :rule eq_resolve :premises (@p19 @p60)) % 0.72/1.01 (step @p62 :rule instantiate :premises (@p61) :args ((@list tptp.xa tptp.xb tptp.xp))) % 0.72/1.01 (step @p63 :rule and_elim :premises (@p23) :args (2)) % 0.72/1.01 (step @p64 :rule and_elim :premises (@p23) :args (1)) % 0.72/1.01 (step @p65 :rule and_elim :premises (@p23) :args (0)) % 0.72/1.01 (step @p66 :rule and_elim :premises (@p23) :args (3)) % 0.72/1.01 (step @p67 :rule symm :premises (@p66)) % 0.72/1.01 (step @p68 :rule cnf_or_pos :args (@t72)) % 0.72/1.01 (step @p69 :rule reordering :premises (@p68) :args ((or @t68 @t71 @t70 @t69 @t67 (not @t72)))) % 0.72/1.01 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p65 @p64 @p63 @p62) :args (@t67 @t73 (@list @t68 @t47 @t46 @t45 @t72))) % 0.72/1.01 (step @p71 :rule quant-merge-prenex :args ((= (forall @t3 @t78) (forall (@list @t1 @t74) @t76)))) % 0.72/1.01 (step @p72 :rule alpha_equiv :args (@t79 (@list @t74) (@list @t7))) % 0.72/1.01 (step @p73 :rule nary_cong :premises (@p34 @p72) :args (@t80)) % 0.72/1.01 (step @p74 :rule quant-miniscope-or :args ((= @t78 @t80))) % 0.72/1.01 (step @p75 :rule trans :premises (@p74 @p73)) % 0.72/1.01 (step @p76 :rule symm :premises (@p75)) % 0.72/1.01 (step @p77 :rule cong :premises (@p76) :args ((forall @t3 (or @t61 @t82)))) % 0.72/1.01 (step @p78 :rule trans :premises (@p77 @p71)) % 0.72/1.01 (step @p79 :rule bool-impl-elim :args (@t2 @t82)) % 0.72/1.01 (step @p80 :rule cong :premises (@p79) :args ((forall @t3 (=> @t2 @t82)))) % 0.72/1.01 (step @p81 :rule trans :premises (@p80 @p78)) % 0.72/1.01 (step @p82 :rule bool-and-de-morgan :args (@t19 @t81 true)) % 0.72/1.01 (step @p83 :rule cong :premises (@p82) :args (@t84)) % 0.72/1.01 (step @p84 :rule cong :premises (@p83) :args (@t85)) % 0.72/1.01 (step @p85 :rule exists-elim :args ((= (exists @t27 @t83) @t85))) % 0.72/1.01 (step @p86 :rule trans :premises (@p85 @p84)) % 0.72/1.01 (step @p87 :rule eq-symm :args (@t22 @t1)) % 0.72/1.01 (step @p88 :rule nary_cong :premises (@p54 @p87) :args (@t26)) % 0.72/1.01 (step @p89 :rule cong :premises (@p88) :args (@t28)) % 0.72/1.01 (step @p90 :rule trans :premises (@p89 @p86)) % 0.72/1.01 (step @p91 :rule eq-symm :args (@t7 tptp.sz00)) % 0.72/1.01 (step @p92 :rule cong :premises (@p91) :args (@t29)) % 0.72/1.01 (step @p93 :rule nary_cong :premises (@p55 @p92 @p90) :args (@t30)) % 0.72/1.01 (step @p94 :rule refl :args (@t31)) % 0.72/1.01 (step @p95 :rule cong :premises (@p94 @p93) :args (@t32)) % 0.72/1.01 (step @p96 :rule cong :premises (@p95) :args (@t34)) % 0.72/1.01 (step @p97 :rule cong :premises (@p56 @p96) :args (@t35)) % 0.72/1.01 (step @p98 :rule cong :premises (@p97) :args (@t36)) % 0.72/1.01 (step @p99 :rule trans :premises (@p98 @p81)) % 0.72/1.01 (step @p100 :rule eq_resolve :premises (@p18 @p99)) % 0.72/1.01 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t50 tptp.xp))) % 0.72/1.01 (step @p102 :rule aci_norm :args ((= (or @t86 @t9) (or @t61 @t60 @t9)))) % 0.72/1.01 (step @p103 :rule refl :args (@t9)) % 0.72/1.01 (step @p104 :rule bool-and-de-morgan :args (@t2 @t10 true)) % 0.72/1.01 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t87 @t9))) % 0.72/1.01 (step @p106 :rule trans :premises (@p105 @p102)) % 0.72/1.01 (step @p107 :rule bool-impl-elim :args (@t11 @t9)) % 0.72/1.01 (step @p108 :rule trans :premises (@p107 @p106)) % 0.72/1.01 (step @p109 :rule cong :premises (@p108) :args (@t13)) % 0.72/1.01 (step @p110 :rule eq_resolve :premises (@p5 @p109)) % 0.72/1.01 (step @p111 :rule instantiate :premises (@p110) :args ((@list tptp.xa @t49))) % 0.72/1.01 (step @p112 :rule bool-impl-elim :args (@t2 @t5)) % 0.72/1.01 (step @p113 :rule cong :premises (@p112) :args (@t6)) % 0.72/1.01 (step @p114 :rule eq_resolve :premises (@p4 @p113)) % 0.72/1.01 (step @p115 :rule instantiate :premises (@p114) :args ((@list tptp.xb))) % 0.72/1.01 (step @p116 :rule cnf_or_pos :args (@t89)) % 0.72/1.01 (step @p117 :rule reordering :premises (@p116) :args ((or @t70 @t88 (not @t89)))) % 0.72/1.01 (step @p118 :rule chain_m_resolution :premises (@p117 @p64 @p115) :args (@t88 @t90 (@list @t46 @t89))) % 0.72/1.01 (step @p119 :rule cnf_or_pos :args (@t93)) % 0.72/1.01 (step @p120 :rule reordering :premises (@p119) :args ((or @t71 @t92 @t91 (not @t93)))) % 0.72/1.01 (step @p121 :rule chain_m_resolution :premises (@p120 @p65 @p118 @p111) :args (@t91 @t94 (@list @t47 @t88 @t93))) % 0.72/1.01 (step @p122 :rule cnf_or_pos :args (@t101)) % 0.72/1.01 (step @p123 :rule reordering :premises (@p122) :args ((or @t100 @t99 (not @t101)))) % 0.72/1.01 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p101) :args (@t99 @t90 (@list @t91 @t101))) % 0.72/1.01 (step @p125 :rule aci_norm :args ((= (or @t86 @t15) (or @t61 @t60 @t15)))) % 0.72/1.01 (step @p126 :rule refl :args (@t15)) % 0.72/1.01 (step @p127 :rule nary_cong :premises (@p104 @p126) :args ((or @t87 @t15))) % 0.72/1.01 (step @p128 :rule trans :premises (@p127 @p125)) % 0.72/1.01 (step @p129 :rule bool-impl-elim :args (@t11 @t15)) % 0.72/1.01 (step @p130 :rule trans :premises (@p129 @p128)) % 0.72/1.01 (step @p131 :rule cong :premises (@p130) :args (@t16)) % 0.72/1.01 (step @p132 :rule eq_resolve :premises (@p6 @p131)) % 0.72/1.01 (step @p133 :rule instantiate :premises (@p132) :args ((@list tptp.xq tptp.xm))) % 0.72/1.01 (step @p134 :rule and_elim :premises (@p25) :args (0)) % 0.72/1.01 (step @p135 :rule and_elim :premises (@p23) :args (4)) % 0.72/1.01 (step @p136 :rule cnf_or_pos :args (@t105)) % 0.72/1.01 (step @p137 :rule reordering :premises (@p136) :args ((or @t104 @t103 @t102 (not @t105)))) % 0.72/1.01 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p134 @p133) :args (@t102 @t94 (@list @t44 @t51 @t105))) % 0.72/1.01 (step @p139 :rule and_elim :premises (@p26) :args (0)) % 0.72/1.01 (step @p140 :rule symm :premises (@p139)) % 0.72/1.01 (step @p141 :rule cnf_or_pos :args (@t109)) % 0.72/1.01 (step @p142 :rule reordering :premises (@p141) :args ((or @t107 @t108 @t110))) % 0.72/1.01 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p138) :args (@t110 @t90 (@list @t106 @t102))) % 0.72/1.01 (assume-push @p206 @t95) % 0.72/1.01 (step @p145 :rule instantiate :premises (@p206) :args ((@list @t54))) % 0.72/1.01 (step-pop @p207 :rule scope :premises (@p145)) % 0.72/1.01 (step @p146 :rule process_scope :premises (@p207) :args (@t109)) % 0.72/1.01 (step @p148 :rule implies_elim :premises (@p146)) % 0.72/1.01 (step @p149 :rule chain_m_resolution :premises (@p148 @p143) :args (@t96 @t111 (@list @t109))) % 0.72/1.01 (step @p150 :rule bool-double-not-elim :args (@t95)) % 0.72/1.01 (step @p151 :rule bool-double-not-elim :args (@t68)) % 0.72/1.01 (step @p152 :rule refl :args (@t69)) % 0.72/1.01 (step @p153 :rule refl :args (@t98)) % 0.72/1.01 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151 @p150) :args ((or @t98 @t69 (not @t97) (not @t96)))) % 0.72/1.01 (step @p155 :rule cnf_and_neg :args (@t98)) % 0.72/1.01 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 0.72/1.01 (step @p157 :rule reordering :premises (@p156) :args ((or @t68 @t69 @t95 @t98))) % 0.72/1.01 (step @p158 :rule chain_m_resolution :premises (@p157 @p67 @p63 @p149) :args (@t98 @t112 (@list @t68 @t45 @t95))) % 0.72/1.01 (step @p159 :rule cnf_equiv_pos2 :args (@t99)) % 0.72/1.01 (step @p160 :rule reordering :premises (@p159) :args ((or @t66 (not @t98) (not @t99)))) % 0.72/1.01 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p124) :args (@t66 @t90 (@list @t98 @t99))) % 0.72/1.01 (step @p162 :rule cnf_equiv_pos2 :args (@t67)) % 0.72/1.01 (step @p163 :rule reordering :premises (@p162) :args ((or @t57 (not @t66) (not @t67)))) % 0.72/1.01 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p70) :args (@t57 @t90 (@list @t66 @t67))) % 0.72/1.01 (step @p165 :rule instantiate :premises (@p61) :args ((@list tptp.xa tptp.xb tptp.xq))) % 0.72/1.01 (step @p166 :rule and_elim :premises (@p23) :args (5)) % 0.72/1.01 (step @p167 :rule symm :premises (@p166)) % 0.72/1.01 (step @p168 :rule cnf_or_pos :args (@t116)) % 0.72/1.01 (step @p169 :rule reordering :premises (@p168) :args ((or @t115 @t71 @t70 @t104 @t114 (not @t116)))) % 0.72/1.01 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p65 @p64 @p135 @p165) :args (@t114 @t73 (@list @t115 @t47 @t46 @t44 @t116))) % 0.72/1.01 (step @p171 :rule instantiate :premises (@p100) :args ((@list @t50 tptp.xq))) % 0.72/1.01 (step @p172 :rule cnf_or_pos :args (@t122)) % 0.72/1.01 (step @p173 :rule reordering :premises (@p172) :args ((or @t100 @t121 (not @t122)))) % 0.72/1.01 (step @p174 :rule chain_m_resolution :premises (@p173 @p121 @p171) :args (@t121 @t90 (@list @t91 @t122))) % 0.72/1.01 (step @p175 :rule instantiate :premises (@p132) :args ((@list tptp.xp tptp.xm))) % 0.72/1.01 (step @p176 :rule cnf_or_pos :args (@t124)) % 0.72/1.01 (step @p177 :rule reordering :premises (@p176) :args ((or @t69 @t103 @t123 (not @t124)))) % 0.72/1.01 (step @p178 :rule chain_m_resolution :premises (@p177 @p63 @p134 @p175) :args (@t123 @t94 (@list @t45 @t51 @t124))) % 0.72/1.01 (step @p179 :rule and_elim :premises (@p26) :args (1)) % 0.72/1.01 (step @p180 :rule cnf_or_pos :args (@t127)) % 0.72/1.01 (step @p181 :rule reordering :premises (@p180) :args ((or @t125 @t126 @t128))) % 0.72/1.01 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p178) :args (@t128 @t90 (@list @t53 @t123))) % 0.72/1.01 (assume-push @p208 @t117) % 0.72/1.01 (step @p184 :rule instantiate :premises (@p208) :args ((@list @t52))) % 0.72/1.01 (step-pop @p209 :rule scope :premises (@p184)) % 0.72/1.01 (step @p185 :rule process_scope :premises (@p209) :args (@t127)) % 0.72/1.01 (step @p187 :rule implies_elim :premises (@p185)) % 0.72/1.01 (step @p188 :rule chain_m_resolution :premises (@p187 @p182) :args (@t118 @t111 (@list @t127))) % 0.72/1.01 (step @p189 :rule bool-double-not-elim :args (@t117)) % 0.72/1.01 (step @p190 :rule bool-double-not-elim :args (@t115)) % 0.72/1.01 (step @p191 :rule refl :args (@t104)) % 0.72/1.01 (step @p192 :rule refl :args (@t120)) % 0.72/1.01 (step @p193 :rule nary_cong :premises (@p192 @p191 @p190 @p189) :args ((or @t120 @t104 (not @t119) (not @t118)))) % 0.72/1.01 (step @p194 :rule cnf_and_neg :args (@t120)) % 0.72/1.01 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 0.72/1.01 (step @p196 :rule reordering :premises (@p195) :args ((or @t115 @t104 @t117 @t120))) % 0.72/1.01 (step @p197 :rule chain_m_resolution :premises (@p196 @p167 @p135 @p188) :args (@t120 @t112 (@list @t115 @t44 @t117))) % 0.72/1.01 (step @p198 :rule cnf_equiv_pos2 :args (@t121)) % 0.72/1.01 (step @p199 :rule reordering :premises (@p198) :args ((or @t113 (not @t120) (not @t121)))) % 0.72/1.01 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p174) :args (@t113 @t90 (@list @t120 @t121))) % 0.72/1.01 (step @p201 :rule cnf_equiv_pos2 :args (@t114)) % 0.72/1.01 (step @p202 :rule reordering :premises (@p201) :args ((or @t56 (not @t113) (not @t114)))) % 0.72/1.01 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p170) :args (@t56 @t90 (@list @t113 @t114))) % 0.72/1.01 (step @p204 :rule not_and :premises (@p27)) % 0.72/1.01 (step @p205 false :rule chain_m_resolution :premises (@p204 @p203 @p164) :args (false @t90 (@list @t56 @t57))) % 0.72/1.01 ) % 0.72/1.01 % SZS output end Proof % 0.72/1.01 % cvc5 exiting %------------------------------------------------------------------------------