%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM423+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 : n018.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 08:39:21 AM UTC 2026 % Result : Theorem 0.53s 0.72s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM423+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 11:17:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.33/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.72 % SZS status Theorem % 0.53/0.72 % SZS output start Proof % 0.53/0.72 ( % 0.53/0.72 (declare-sort $$unsorted 0) % 0.53/0.72 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.xa $$unsorted) % 0.53/0.72 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.sz10 $$unsorted) % 0.53/0.72 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.sz00 $$unsorted) % 0.53/0.72 (declare-const tptp.xq $$unsorted) % 0.53/0.72 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 0.53/0.72 (define @t1 () (@var "W0" $$unsorted)) % 0.53/0.72 (define @t2 () (tptp.aInteger0 @t1)) % 0.53/0.72 (define @t3 () (@list @t1)) % 0.53/0.72 (define @t4 () (tptp.aInteger0 tptp.sz00)) % 0.53/0.72 (define @t5 () (tptp.smndt0 @t1)) % 0.53/0.72 (define @t6 () (@var "W1" $$unsorted)) % 0.53/0.72 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 0.53/0.72 (define @t8 () (tptp.aInteger0 @t6)) % 0.53/0.72 (define @t9 () (and @t2 @t8)) % 0.53/0.72 (define @t10 () (@list @t1 @t6)) % 0.53/0.72 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 0.53/0.72 (define @t12 () (@var "W2" $$unsorted)) % 0.53/0.72 (define @t13 () (tptp.sdtpldt0 @t6 @t12)) % 0.53/0.72 (define @t14 () (tptp.aInteger0 @t12)) % 0.53/0.72 (define @t15 () (and @t2 @t8 @t14)) % 0.53/0.72 (define @t16 () (@list @t1 @t6 @t12)) % 0.53/0.72 (define @t17 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 0.53/0.72 (define @t18 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 0.53/0.72 (define @t19 () (and (= @t18 @t1) @t17)) % 0.53/0.72 (define @t20 () (=> @t2 @t19)) % 0.53/0.72 (define @t21 () (forall @t3 @t20)) % 0.53/0.72 (define @t22 () (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1))) % 0.53/0.72 (define @t23 () (tptp.sdtpldt0 @t1 @t5)) % 0.53/0.72 (define @t24 () (and (= @t23 tptp.sz00) @t22)) % 0.53/0.72 (define @t25 () (=> @t2 @t24)) % 0.53/0.72 (define @t26 () (forall @t3 @t25)) % 0.53/0.72 (define @t27 () (tptp.sdtasdt0 @t6 @t12)) % 0.53/0.72 (define @t28 () (tptp.sdtasdt0 @t1 @t12)) % 0.53/0.72 (define @t29 () (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))) % 0.53/0.72 (define @t30 () (tptp.sdtasdt0 @t1 tptp.sz00)) % 0.53/0.72 (define @t31 () (and (= @t30 tptp.sz00) @t29)) % 0.53/0.72 (define @t32 () (=> @t2 @t31)) % 0.53/0.72 (define @t33 () (forall @t3 @t32)) % 0.53/0.72 (define @t34 () (tptp.smndt0 tptp.sz10)) % 0.53/0.72 (define @t35 () (= @t6 tptp.sz00)) % 0.53/0.72 (define @t36 () (and @t14 (= @t27 @t1))) % 0.53/0.72 (define @t37 () (@list @t12)) % 0.53/0.72 (define @t38 () (exists @t37 @t36)) % 0.53/0.72 (define @t39 () (not @t35)) % 0.53/0.72 (define @t40 () (and @t8 @t39 @t38)) % 0.53/0.72 (define @t41 () (tptp.aDivisorOf0 @t6 @t1)) % 0.53/0.72 (define @t42 () (= @t41 @t40)) % 0.53/0.72 (define @t43 () (@list @t6)) % 0.53/0.72 (define @t44 () (forall @t43 @t42)) % 0.53/0.72 (define @t45 () (=> @t2 @t44)) % 0.53/0.72 (define @t46 () (forall @t3 @t45)) % 0.53/0.72 (define @t47 () (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 @t12) (tptp.aDivisorOf0 @t12 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t6))))) % 0.53/0.72 (define @t48 () (not (= @t12 tptp.sz00))) % 0.53/0.72 (define @t49 () (and @t2 @t8 @t14 @t48)) % 0.53/0.72 (define @t50 () (=> @t49 @t47)) % 0.53/0.72 (define @t51 () (forall @t16 @t50)) % 0.53/0.72 (define @t52 () (tptp.aInteger0 tptp.xq)) % 0.53/0.72 (define @t53 () (tptp.aInteger0 tptp.xa)) % 0.53/0.72 (define @t54 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xa tptp.xq)) % 0.53/0.72 (define @t55 () (@var "BOUND_VARIABLE_7650" $$unsorted)) % 0.53/0.72 (define @t56 () (not @t14)) % 0.53/0.72 (define @t57 () (= (tptp.aDivisorOf0 @t55 @t1) (and (tptp.aInteger0 @t55) (not (= tptp.sz00 @t55)) (not (forall @t37 (or @t56 (not (= @t1 (tptp.sdtasdt0 @t55 @t12))))))))) % 0.53/0.72 (define @t58 () (not @t2)) % 0.53/0.72 (define @t59 () (or @t58 @t57)) % 0.53/0.72 (define @t60 () (@list @t55)) % 0.53/0.72 (define @t61 () (forall @t60 @t59)) % 0.53/0.72 (define @t62 () (forall @t60 @t57)) % 0.53/0.72 (define @t63 () (or @t58 @t62)) % 0.53/0.72 (define @t64 () (= @t1 @t27)) % 0.53/0.72 (define @t65 () (forall @t43 (= @t41 (and @t8 (not (= tptp.sz00 @t6)) (not (forall @t37 (or @t56 (not @t64)))))))) % 0.53/0.72 (define @t66 () (and @t14 @t64)) % 0.53/0.72 (define @t67 () (forall @t37 (not @t66))) % 0.53/0.72 (define @t68 () (not @t67)) % 0.53/0.72 (define @t69 () (tptp.smndt0 tptp.xa)) % 0.53/0.72 (define @t70 () (tptp.sdtpldt0 tptp.xa @t69)) % 0.53/0.72 (define @t71 () (and (= tptp.sz00 @t23) @t22)) % 0.53/0.72 (define @t72 () (= tptp.sz00 @t70)) % 0.53/0.72 (define @t73 () (and @t72 (= tptp.sz00 (tptp.sdtpldt0 @t69 tptp.xa)))) % 0.53/0.72 (define @t74 () (not @t53)) % 0.53/0.72 (define @t75 () (or @t74 @t73)) % 0.53/0.72 (define @t76 () (@list false false)) % 0.53/0.72 (define @t77 () (@list false)) % 0.53/0.72 (define @t78 () (tptp.aInteger0 @t70)) % 0.53/0.72 (define @t79 () (forall @t37 (or @t56 (not (= @t70 (tptp.sdtasdt0 tptp.xq @t12)))))) % 0.53/0.72 (define @t80 () (not @t79)) % 0.53/0.72 (define @t81 () (= tptp.sz00 tptp.xq)) % 0.53/0.72 (define @t82 () (not @t81)) % 0.53/0.72 (define @t83 () (and @t52 @t82 @t80)) % 0.53/0.72 (define @t84 () (tptp.aDivisorOf0 tptp.xq @t70)) % 0.53/0.72 (define @t85 () (= @t84 @t83)) % 0.53/0.72 (define @t86 () (not @t78)) % 0.53/0.72 (define @t87 () (or @t86 @t85)) % 0.53/0.72 (define @t88 () (= tptp.sz00 @t12)) % 0.53/0.72 (define @t89 () (not @t8)) % 0.53/0.72 (define @t90 () (not @t88)) % 0.53/0.72 (define @t91 () (not @t90)) % 0.53/0.72 (define @t92 () (or @t58 @t89 @t56 @t91)) % 0.53/0.72 (define @t93 () (and @t2 @t8 @t14 @t90)) % 0.53/0.72 (define @t94 () (= @t54 @t84)) % 0.53/0.72 (define @t95 () (not @t52)) % 0.53/0.72 (define @t96 () (or @t74 @t74 @t95 @t81 @t94)) % 0.53/0.72 (define @t97 () (not @t84)) % 0.53/0.72 (define @t98 () (@list true false)) % 0.53/0.72 (define @t99 () (not @t83)) % 0.53/0.72 (define @t100 () (@list tptp.sz00)) % 0.53/0.72 (define @t101 () (tptp.sdtasdt0 tptp.xq tptp.sz00)) % 0.53/0.72 (define @t102 () (not (= @t70 @t101))) % 0.53/0.72 (define @t103 () (not @t4)) % 0.53/0.72 (define @t104 () (or @t103 @t102)) % 0.53/0.72 (define @t105 () (and (= tptp.sz00 @t30) @t29)) % 0.53/0.72 (define @t106 () (= tptp.sz00 @t101)) % 0.53/0.72 (define @t107 () (and @t106 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xq)))) % 0.53/0.72 (define @t108 () (or @t95 @t107)) % 0.53/0.72 (define @t109 () (and (= @t1 @t18) @t17)) % 0.53/0.72 (define @t110 () (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00))) % 0.53/0.72 (define @t111 () (and @t110 @t110)) % 0.53/0.72 (define @t112 () (or @t103 @t111)) % 0.53/0.72 (define @t113 () (forall @t3 (or @t58 @t109))) % 0.53/0.72 (define @t114 () (or @t103 @t110)) % 0.53/0.72 (assume @p1 (forall @t3 (=> @t2 true))) % 0.53/0.72 (assume @p2 @t4) % 0.53/0.72 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 0.53/0.72 (assume @p4 (forall @t3 (=> @t2 (tptp.aInteger0 @t5)))) % 0.53/0.72 (assume @p5 (forall @t10 (=> @t9 (tptp.aInteger0 @t7)))) % 0.53/0.72 (assume @p6 (forall @t10 (=> @t9 (tptp.aInteger0 @t11)))) % 0.53/0.72 (assume @p7 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t1 @t13) (tptp.sdtpldt0 @t7 @t12))))) % 0.53/0.72 (assume @p8 (forall @t10 (=> @t9 (= @t7 (tptp.sdtpldt0 @t6 @t1))))) % 0.53/0.72 (assume @p9 @t21) % 0.53/0.72 (assume @p10 @t26) % 0.53/0.72 (assume @p11 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t1 @t27) (tptp.sdtasdt0 @t11 @t12))))) % 0.53/0.72 (assume @p12 (forall @t10 (=> @t9 (= @t11 (tptp.sdtasdt0 @t6 @t1))))) % 0.53/0.72 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.53/0.72 (assume @p14 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t11 @t28)) (= (tptp.sdtasdt0 @t7 @t12) (tptp.sdtpldt0 @t28 @t27)))))) % 0.53/0.72 (assume @p15 @t33) % 0.53/0.72 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t34 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t34)))))) % 0.53/0.72 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or (= @t1 tptp.sz00) @t35))))) % 0.53/0.72 (assume @p18 @t46) % 0.53/0.72 (assume @p19 @t51) % 0.53/0.72 (assume @p20 (and @t53 @t52 (not (= tptp.xq tptp.sz00)))) % 0.53/0.72 (assume @p21 (not @t54)) % 0.53/0.72 (assume @p22 true) % 0.53/0.72 (step @p23 :rule evaluate :args ((= true false))) % 0.53/0.72 (step @p24 :rule quant-merge-prenex :args ((= (forall @t3 @t61) (forall (@list @t1 @t55) @t59)))) % 0.53/0.72 (step @p25 :rule alpha_equiv :args (@t62 (@list @t55) (@list @t6))) % 0.53/0.72 (step @p26 :rule refl :args (@t58)) % 0.53/0.72 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t63)) % 0.53/0.72 (step @p28 :rule quant-miniscope-or :args ((= @t61 @t63))) % 0.53/0.72 (step @p29 :rule trans :premises (@p28 @p27)) % 0.53/0.72 (step @p30 :rule symm :premises (@p29)) % 0.53/0.72 (step @p31 :rule cong :premises (@p30) :args ((forall @t3 (or @t58 @t65)))) % 0.53/0.72 (step @p32 :rule trans :premises (@p31 @p24)) % 0.53/0.72 (step @p33 :rule bool-impl-elim :args (@t2 @t65)) % 0.53/0.72 (step @p34 :rule cong :premises (@p33) :args ((forall @t3 (=> @t2 @t65)))) % 0.53/0.72 (step @p35 :rule trans :premises (@p34 @p32)) % 0.53/0.72 (step @p36 :rule bool-and-de-morgan :args (@t14 @t64 true)) % 0.53/0.72 (step @p37 :rule cong :premises (@p36) :args (@t67)) % 0.53/0.72 (step @p38 :rule cong :premises (@p37) :args (@t68)) % 0.53/0.72 (step @p39 :rule exists-elim :args ((= (exists @t37 @t66) @t68))) % 0.53/0.72 (step @p40 :rule trans :premises (@p39 @p38)) % 0.53/0.72 (step @p41 :rule eq-symm :args (@t27 @t1)) % 0.53/0.72 (step @p42 :rule refl :args (@t14)) % 0.53/0.72 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t36)) % 0.53/0.72 (step @p44 :rule cong :premises (@p43) :args (@t38)) % 0.53/0.72 (step @p45 :rule trans :premises (@p44 @p40)) % 0.53/0.72 (step @p46 :rule eq-symm :args (@t6 tptp.sz00)) % 0.53/0.72 (step @p47 :rule cong :premises (@p46) :args (@t39)) % 0.53/0.72 (step @p48 :rule refl :args (@t8)) % 0.53/0.72 (step @p49 :rule nary_cong :premises (@p48 @p47 @p45) :args (@t40)) % 0.53/0.72 (step @p50 :rule refl :args (@t41)) % 0.53/0.72 (step @p51 :rule cong :premises (@p50 @p49) :args (@t42)) % 0.53/0.72 (step @p52 :rule cong :premises (@p51) :args (@t44)) % 0.53/0.72 (step @p53 :rule refl :args (@t2)) % 0.53/0.72 (step @p54 :rule cong :premises (@p53 @p52) :args (@t45)) % 0.53/0.72 (step @p55 :rule cong :premises (@p54) :args (@t46)) % 0.53/0.72 (step @p56 :rule trans :premises (@p55 @p35)) % 0.53/0.72 (step @p57 :rule eq_resolve :premises (@p18 @p56)) % 0.53/0.72 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t70 tptp.xq))) % 0.53/0.72 (step @p59 :rule true_intro :premises (@p2)) % 0.53/0.72 (step @p60 :rule bool-impl-elim :args (@t2 @t71)) % 0.53/0.72 (step @p61 :rule cong :premises (@p60) :args ((forall @t3 (=> @t2 @t71)))) % 0.53/0.72 (step @p62 :rule refl :args (@t22)) % 0.53/0.72 (step @p63 :rule eq-symm :args (@t23 tptp.sz00)) % 0.53/0.72 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t24)) % 0.53/0.72 (step @p65 :rule cong :premises (@p53 @p64) :args (@t25)) % 0.53/0.72 (step @p66 :rule cong :premises (@p65) :args (@t26)) % 0.53/0.72 (step @p67 :rule trans :premises (@p66 @p61)) % 0.53/0.72 (step @p68 :rule eq_resolve :premises (@p10 @p67)) % 0.53/0.72 (step @p69 :rule instantiate :premises (@p68) :args ((@list tptp.xa))) % 0.53/0.72 (step @p70 :rule and_elim :premises (@p20) :args (0)) % 0.53/0.72 (step @p71 :rule cnf_or_pos :args (@t75)) % 0.53/0.72 (step @p72 :rule reordering :premises (@p71) :args ((or @t74 @t73 (not @t75)))) % 0.53/0.72 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p69) :args (@t73 @t76 (@list @t53 @t75))) % 0.53/0.72 (step @p74 :rule cnf_and_pos :args (@t73 0)) % 0.53/0.72 (step @p75 :rule reordering :premises (@p74) :args ((or @t72 (not @t73)))) % 0.53/0.72 (step @p76 :rule chain_m_resolution :premises (@p75 @p73) :args (@t72 @t77 (@list @t73))) % 0.53/0.72 (step @p77 :rule symm :premises (@p76)) % 0.53/0.72 (step @p78 :rule cong :premises (@p77) :args (@t78)) % 0.53/0.72 (step @p79 :rule trans :premises (@p78 @p59)) % 0.53/0.72 (step @p80 :rule true_elim :premises (@p79)) % 0.53/0.72 (step @p81 :rule cnf_or_pos :args (@t87)) % 0.53/0.72 (step @p82 :rule reordering :premises (@p81) :args ((or @t86 @t85 (not @t87)))) % 0.53/0.72 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p58) :args (@t85 @t76 (@list @t78 @t87))) % 0.53/0.72 (step @p84 :rule aci_norm :args ((= (or (or @t58 @t89 @t56 @t88) @t47) (or @t58 @t89 @t56 @t88 @t47)))) % 0.53/0.72 (step @p85 :rule refl :args (@t47)) % 0.53/0.72 (step @p86 :rule bool-double-not-elim :args (@t88)) % 0.53/0.72 (step @p87 :rule refl :args (@t56)) % 0.53/0.72 (step @p88 :rule refl :args (@t89)) % 0.53/0.72 (step @p89 :rule nary_cong :premises (@p26 @p88 @p87 @p86) :args (@t92)) % 0.53/0.72 (step @p90 :rule aci_norm :args ((= (or @t58 (or @t89 (or @t56 @t91))) @t92))) % 0.53/0.72 (step @p91 :rule trans :premises (@p90 @p89)) % 0.53/0.72 (step @p92 :rule bool-and-de-morgan :args (@t14 @t90 true)) % 0.53/0.72 (step @p93 :rule nary_cong :premises (@p88 @p92) :args ((or @t89 (not (and @t14 @t90))))) % 0.53/0.72 (step @p94 :rule bool-and-de-morgan :args (@t8 @t14 (and @t90))) % 0.53/0.72 (step @p95 :rule trans :premises (@p94 @p93)) % 0.53/0.72 (step @p96 :rule nary_cong :premises (@p26 @p95) :args ((or @t58 (not (and @t8 @t14 @t90))))) % 0.53/0.72 (step @p97 :rule bool-and-de-morgan :args (@t2 @t8 (and @t14 @t90))) % 0.53/0.72 (step @p98 :rule trans :premises (@p97 @p96)) % 0.53/0.72 (step @p99 :rule trans :premises (@p98 @p91)) % 0.53/0.72 (step @p100 :rule nary_cong :premises (@p99 @p85) :args ((or (not @t93) @t47))) % 0.53/0.72 (step @p101 :rule trans :premises (@p100 @p84)) % 0.53/0.72 (step @p102 :rule bool-impl-elim :args (@t93 @t47)) % 0.53/0.72 (step @p103 :rule trans :premises (@p102 @p101)) % 0.53/0.72 (step @p104 :rule cong :premises (@p103) :args ((forall @t16 (=> @t93 @t47)))) % 0.53/0.72 (step @p105 :rule refl :args (@t47)) % 0.53/0.72 (step @p106 :rule eq-symm :args (@t12 tptp.sz00)) % 0.53/0.72 (step @p107 :rule cong :premises (@p106) :args (@t48)) % 0.53/0.72 (step @p108 :rule nary_cong :premises (@p53 @p48 @p42 @p107) :args (@t49)) % 0.53/0.72 (step @p109 :rule cong :premises (@p108 @p105) :args (@t50)) % 0.53/0.72 (step @p110 :rule cong :premises (@p109) :args (@t51)) % 0.53/0.72 (step @p111 :rule trans :premises (@p110 @p104)) % 0.53/0.72 (step @p112 :rule eq_resolve :premises (@p19 @p111)) % 0.53/0.72 (step @p113 :rule instantiate :premises (@p112) :args ((@list tptp.xa tptp.xa tptp.xq))) % 0.53/0.72 (step @p114 :rule and_elim :premises (@p20) :args (1)) % 0.53/0.72 (step @p115 :rule and_elim :premises (@p20) :args (2)) % 0.53/0.72 (step @p116 :rule symm :premises (@p115)) % 0.53/0.72 (step @p117 :rule cnf_or_pos :args (@t96)) % 0.53/0.72 (step @p118 :rule factoring :premises (@p117)) % 0.53/0.72 (step @p119 :rule reordering :premises (@p118) :args ((or @t81 @t74 @t95 @t94 (not @t96)))) % 0.53/0.72 (step @p120 :rule chain_m_resolution :premises (@p119 @p116 @p70 @p114 @p113) :args (@t94 (@list true false false false) (@list @t81 @t53 @t52 @t96))) % 0.53/0.73 (step @p121 :rule cnf_equiv_pos2 :args (@t94)) % 0.53/0.73 (step @p122 :rule reordering :premises (@p121) :args ((or @t54 @t97 (not @t94)))) % 0.53/0.73 (step @p123 :rule chain_m_resolution :premises (@p122 @p21 @p120) :args (@t97 @t98 (@list @t54 @t94))) % 0.53/0.73 (step @p124 :rule cnf_equiv_pos2 :args (@t85)) % 0.53/0.73 (step @p125 :rule reordering :premises (@p124) :args ((or @t84 @t99 (not @t85)))) % 0.53/0.73 (step @p126 :rule chain_m_resolution :premises (@p125 @p123 @p83) :args (@t99 @t98 (@list @t84 @t85))) % 0.53/0.73 (step @p127 :rule bool-double-not-elim :args (@t79)) % 0.53/0.73 (step @p128 :rule bool-double-not-elim :args (@t81)) % 0.53/0.73 (step @p129 :rule refl :args (@t95)) % 0.53/0.73 (step @p130 :rule refl :args (@t83)) % 0.53/0.73 (step @p131 :rule nary_cong :premises (@p130 @p129 @p128 @p127) :args ((or @t83 @t95 (not @t82) (not @t80)))) % 0.53/0.73 (step @p132 :rule cnf_and_neg :args (@t83)) % 0.53/0.73 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.53/0.73 (step @p134 :rule reordering :premises (@p133) :args ((or @t81 @t95 @t79 @t83))) % 0.53/0.73 (step @p135 :rule chain_m_resolution :premises (@p134 @p116 @p114 @p126) :args (@t79 (@list true false true) (@list @t81 @t52 @t83))) % 0.53/0.73 (step @p136 :rule instantiate :premises (@p135) :args (@t100)) % 0.53/0.73 (step @p137 :rule cnf_or_pos :args (@t104)) % 0.53/0.73 (step @p138 :rule reordering :premises (@p137) :args ((or @t103 @t102 (not @t104)))) % 0.53/0.73 (step @p139 :rule chain_m_resolution :premises (@p138 @p2 @p136) :args (@t102 @t76 (@list @t4 @t104))) % 0.53/0.73 (step @p140 :rule false_intro :premises (@p139)) % 0.53/0.73 (step @p141 :rule bool-impl-elim :args (@t2 @t105)) % 0.53/0.73 (step @p142 :rule cong :premises (@p141) :args ((forall @t3 (=> @t2 @t105)))) % 0.53/0.73 (step @p143 :rule refl :args (@t29)) % 0.53/0.73 (step @p144 :rule eq-symm :args (@t30 tptp.sz00)) % 0.53/0.73 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t31)) % 0.53/0.73 (step @p146 :rule cong :premises (@p53 @p145) :args (@t32)) % 0.53/0.73 (step @p147 :rule cong :premises (@p146) :args (@t33)) % 0.53/0.73 (step @p148 :rule trans :premises (@p147 @p142)) % 0.53/0.73 (step @p149 :rule eq_resolve :premises (@p15 @p148)) % 0.53/0.73 (step @p150 :rule instantiate :premises (@p149) :args ((@list tptp.xq))) % 0.53/0.73 (step @p151 :rule cnf_or_pos :args (@t108)) % 0.53/0.73 (step @p152 :rule reordering :premises (@p151) :args ((or @t95 @t107 (not @t108)))) % 0.53/0.73 (step @p153 :rule chain_m_resolution :premises (@p152 @p114 @p150) :args (@t107 @t76 (@list @t52 @t108))) % 0.53/0.73 (step @p154 :rule cnf_and_pos :args (@t107 0)) % 0.53/0.73 (step @p155 :rule reordering :premises (@p154) :args ((or @t106 (not @t107)))) % 0.53/0.73 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t106 @t77 (@list @t107))) % 0.53/0.73 (step @p157 :rule bool-impl-elim :args (@t2 @t109)) % 0.53/0.73 (step @p158 :rule cong :premises (@p157) :args ((forall @t3 (=> @t2 @t109)))) % 0.53/0.73 (step @p159 :rule refl :args (@t17)) % 0.53/0.73 (step @p160 :rule eq-symm :args (@t18 @t1)) % 0.53/0.73 (step @p161 :rule nary_cong :premises (@p160 @p159) :args (@t19)) % 0.53/0.73 (step @p162 :rule cong :premises (@p53 @p161) :args (@t20)) % 0.53/0.73 (step @p163 :rule cong :premises (@p162) :args (@t21)) % 0.53/0.73 (step @p164 :rule trans :premises (@p163 @p158)) % 0.53/0.73 (step @p165 :rule eq_resolve :premises (@p9 @p164)) % 0.53/0.73 (step @p166 :rule aci_norm :args ((= @t111 @t110))) % 0.53/0.73 (step @p167 :rule refl :args (@t103)) % 0.53/0.73 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t112)) % 0.53/0.73 (step @p169 :rule refl :args (@t113)) % 0.53/0.73 (step @p170 :rule cong :premises (@p169 @p168) :args ((=> @t113 @t112))) % 0.53/0.73 (assume-push @p188 @t113) % 0.53/0.73 (step @p172 :rule instantiate :premises (@p165) :args (@t100)) % 0.53/0.73 (step-pop @p189 :rule scope :premises (@p172)) % 0.53/0.73 (step @p173 :rule process_scope :premises (@p189) :args (@t112)) % 0.53/0.73 (step @p175 :rule eq_resolve :premises (@p173 @p170)) % 0.53/0.73 (step @p176 :rule implies_elim :premises (@p175)) % 0.53/0.73 (step @p177 :rule chain_m_resolution :premises (@p176 @p165) :args (@t114 @t77 (@list @t113))) % 0.53/0.73 (step @p178 :rule cnf_or_pos :args (@t114)) % 0.53/0.73 (step @p179 :rule reordering :premises (@p178) :args ((or @t103 @t110 (not @t114)))) % 0.53/0.73 (step @p180 :rule chain_m_resolution :premises (@p179 @p2 @p177) :args (@t110 @t76 (@list @t4 @t114))) % 0.53/0.73 (step @p181 :rule symm :premises (@p180)) % 0.53/0.73 (step @p182 :rule trans :premises (@p181 @p156)) % 0.53/0.73 (step @p183 :rule trans :premises (@p77 @p180 @p182)) % 0.53/0.73 (step @p184 :rule true_intro :premises (@p183)) % 0.53/0.73 (step @p185 :rule symm :premises (@p184)) % 0.53/0.73 (step @p186 :rule trans :premises (@p185 @p140)) % 0.53/0.73 (step @p187 false :rule eq_resolve :premises (@p186 @p23)) % 0.53/0.73 ) % 0.53/0.73 % SZS output end Proof % 0.53/0.73 % cvc5 exiting %------------------------------------------------------------------------------