%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM427+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 : n009.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 08:39:22 AM UTC 2026 % Result : Theorem 0.71s 0.91s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM427+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 % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 11:17:44 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.71/0.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.71/0.91 % SZS status Theorem % 0.71/0.91 % SZS output start Proof % 0.71/0.91 ( % 0.71/0.91 (declare-sort $$unsorted 0) % 0.71/0.91 (declare-const tptp.xb $$unsorted) % 0.71/0.91 (declare-const tptp.xq $$unsorted) % 0.71/0.91 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.91 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.91 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.71/0.91 (declare-const tptp.xa $$unsorted) % 0.71/0.91 (declare-const tptp.sz10 $$unsorted) % 0.71/0.91 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.71/0.91 (declare-const tptp.sz00 $$unsorted) % 0.71/0.91 (declare-const tptp.xn $$unsorted) % 0.71/0.91 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.71/0.91 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 0.71/0.91 (define @t1 () (@var "W0" $$unsorted)) % 0.71/0.91 (define @t2 () (tptp.aInteger0 @t1)) % 0.71/0.91 (define @t3 () (@list @t1)) % 0.71/0.91 (define @t4 () (tptp.smndt0 @t1)) % 0.71/0.91 (define @t5 () (tptp.aInteger0 @t4)) % 0.71/0.91 (define @t6 () (forall @t3 (=> @t2 @t5))) % 0.71/0.91 (define @t7 () (@var "W1" $$unsorted)) % 0.71/0.91 (define @t8 () (tptp.sdtpldt0 @t1 @t7)) % 0.71/0.91 (define @t9 () (tptp.aInteger0 @t8)) % 0.71/0.91 (define @t10 () (tptp.aInteger0 @t7)) % 0.71/0.91 (define @t11 () (and @t2 @t10)) % 0.71/0.91 (define @t12 () (@list @t1 @t7)) % 0.71/0.91 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.71/0.91 (define @t14 () (tptp.sdtasdt0 @t1 @t7)) % 0.71/0.91 (define @t15 () (@var "W2" $$unsorted)) % 0.71/0.91 (define @t16 () (tptp.sdtpldt0 @t7 @t15)) % 0.71/0.91 (define @t17 () (tptp.aInteger0 @t15)) % 0.71/0.91 (define @t18 () (and @t2 @t10 @t17)) % 0.71/0.91 (define @t19 () (@list @t1 @t7 @t15)) % 0.71/0.91 (define @t20 () (tptp.sdtasdt0 @t7 @t15)) % 0.71/0.91 (define @t21 () (tptp.sdtasdt0 @t1 @t15)) % 0.71/0.91 (define @t22 () (tptp.smndt0 tptp.sz10)) % 0.71/0.91 (define @t23 () (= @t7 tptp.sz00)) % 0.71/0.91 (define @t24 () (and @t17 (= @t20 @t1))) % 0.71/0.91 (define @t25 () (@list @t15)) % 0.71/0.91 (define @t26 () (exists @t25 @t24)) % 0.71/0.91 (define @t27 () (not @t23)) % 0.71/0.91 (define @t28 () (and @t10 @t27 @t26)) % 0.71/0.91 (define @t29 () (tptp.aDivisorOf0 @t7 @t1)) % 0.71/0.91 (define @t30 () (= @t29 @t28)) % 0.71/0.91 (define @t31 () (@list @t7)) % 0.71/0.91 (define @t32 () (forall @t31 @t30)) % 0.71/0.91 (define @t33 () (=> @t2 @t32)) % 0.71/0.91 (define @t34 () (forall @t3 @t33)) % 0.71/0.91 (define @t35 () (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t7 @t15) (tptp.aDivisorOf0 @t15 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t7))))) % 0.71/0.91 (define @t36 () (not (= @t15 tptp.sz00))) % 0.71/0.91 (define @t37 () (and @t2 @t10 @t17 @t36)) % 0.71/0.91 (define @t38 () (=> @t37 @t35)) % 0.71/0.91 (define @t39 () (forall @t19 @t38)) % 0.71/0.91 (define @t40 () (tptp.aInteger0 tptp.xq)) % 0.71/0.91 (define @t41 () (tptp.aInteger0 tptp.xb)) % 0.71/0.91 (define @t42 () (tptp.aInteger0 tptp.xa)) % 0.71/0.91 (define @t43 () (tptp.aInteger0 tptp.xn)) % 0.71/0.91 (define @t44 () (tptp.smndt0 tptp.xa)) % 0.71/0.91 (define @t45 () (tptp.sdtpldt0 tptp.xb @t44)) % 0.71/0.91 (define @t46 () (tptp.smndt0 tptp.xn)) % 0.71/0.91 (define @t47 () (tptp.sdtasdt0 tptp.xq @t46)) % 0.71/0.91 (define @t48 () (= @t47 @t45)) % 0.71/0.91 (define @t49 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xb tptp.xa tptp.xq)) % 0.71/0.91 (define @t50 () (@var "BOUND_VARIABLE_7671" $$unsorted)) % 0.71/0.91 (define @t51 () (not @t17)) % 0.71/0.91 (define @t52 () (= (tptp.aDivisorOf0 @t50 @t1) (and (tptp.aInteger0 @t50) (not (= tptp.sz00 @t50)) (not (forall @t25 (or @t51 (not (= @t1 (tptp.sdtasdt0 @t50 @t15))))))))) % 0.71/0.91 (define @t53 () (not @t2)) % 0.71/0.91 (define @t54 () (or @t53 @t52)) % 0.71/0.91 (define @t55 () (@list @t50)) % 0.71/0.91 (define @t56 () (forall @t55 @t54)) % 0.71/0.91 (define @t57 () (forall @t55 @t52)) % 0.71/0.91 (define @t58 () (or @t53 @t57)) % 0.71/0.91 (define @t59 () (= @t1 @t20)) % 0.71/0.91 (define @t60 () (forall @t31 (= @t29 (and @t10 (not (= tptp.sz00 @t7)) (not (forall @t25 (or @t51 (not @t59)))))))) % 0.71/0.91 (define @t61 () (and @t17 @t59)) % 0.71/0.91 (define @t62 () (forall @t25 (not @t61))) % 0.71/0.91 (define @t63 () (not @t62)) % 0.71/0.91 (define @t64 () (not @t10)) % 0.71/0.91 (define @t65 () (tptp.aInteger0 @t44)) % 0.71/0.91 (define @t66 () (not @t42)) % 0.71/0.91 (define @t67 () (or @t66 @t65)) % 0.71/0.91 (define @t68 () (@list false false)) % 0.71/0.91 (define @t69 () (tptp.aInteger0 @t45)) % 0.71/0.91 (define @t70 () (not @t65)) % 0.71/0.91 (define @t71 () (not @t41)) % 0.71/0.91 (define @t72 () (or @t71 @t70 @t69)) % 0.71/0.91 (define @t73 () (forall @t25 (or @t51 (not (= @t45 (tptp.sdtasdt0 tptp.xq @t15)))))) % 0.71/0.91 (define @t74 () (not @t73)) % 0.71/0.91 (define @t75 () (= tptp.sz00 tptp.xq)) % 0.71/0.91 (define @t76 () (not @t75)) % 0.71/0.91 (define @t77 () (and @t40 @t76 @t74)) % 0.71/0.91 (define @t78 () (tptp.aDivisorOf0 tptp.xq @t45)) % 0.71/0.91 (define @t79 () (= @t78 @t77)) % 0.71/0.91 (define @t80 () (not @t69)) % 0.71/0.91 (define @t81 () (or @t80 @t79)) % 0.71/0.91 (define @t82 () (= tptp.sz00 @t15)) % 0.71/0.91 (define @t83 () (not @t82)) % 0.71/0.91 (define @t84 () (not @t83)) % 0.71/0.91 (define @t85 () (or @t53 @t64 @t51 @t84)) % 0.71/0.91 (define @t86 () (and @t2 @t10 @t17 @t83)) % 0.71/0.91 (define @t87 () (= @t49 @t78)) % 0.71/0.91 (define @t88 () (not @t40)) % 0.71/0.91 (define @t89 () (or @t71 @t66 @t88 @t75 @t87)) % 0.71/0.91 (define @t90 () (not @t78)) % 0.71/0.91 (define @t91 () (@list true false)) % 0.71/0.91 (define @t92 () (not @t77)) % 0.71/0.91 (define @t93 () (tptp.aInteger0 @t46)) % 0.71/0.91 (define @t94 () (not @t43)) % 0.71/0.91 (define @t95 () (or @t94 @t93)) % 0.71/0.91 (define @t96 () (not @t48)) % 0.71/0.91 (define @t97 () (not @t93)) % 0.71/0.91 (define @t98 () (or @t97 @t96)) % 0.71/0.91 (define @t99 () (not @t98)) % 0.71/0.91 (define @t100 () (not (= @t45 @t47))) % 0.71/0.91 (define @t101 () (or @t97 @t100)) % 0.71/0.91 (assume @p1 (forall @t3 (=> @t2 true))) % 0.71/0.91 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 0.71/0.91 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 0.71/0.91 (assume @p4 @t6) % 0.71/0.91 (assume @p5 @t13) % 0.71/0.91 (assume @p6 (forall @t12 (=> @t11 (tptp.aInteger0 @t14)))) % 0.71/0.91 (assume @p7 (forall @t19 (=> @t18 (= (tptp.sdtpldt0 @t1 @t16) (tptp.sdtpldt0 @t8 @t15))))) % 0.71/0.91 (assume @p8 (forall @t12 (=> @t11 (= @t8 (tptp.sdtpldt0 @t7 @t1))))) % 0.71/0.91 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.71/0.91 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.71/0.91 (assume @p11 (forall @t19 (=> @t18 (= (tptp.sdtasdt0 @t1 @t20) (tptp.sdtasdt0 @t14 @t15))))) % 0.71/0.91 (assume @p12 (forall @t12 (=> @t11 (= @t14 (tptp.sdtasdt0 @t7 @t1))))) % 0.71/0.91 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.71/0.91 (assume @p14 (forall @t19 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t14 @t21)) (= (tptp.sdtasdt0 @t8 @t15) (tptp.sdtpldt0 @t21 @t20)))))) % 0.71/0.91 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.71/0.91 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t22 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t22)))))) % 0.71/0.91 (assume @p17 (forall @t12 (=> @t11 (=> (= @t14 tptp.sz00) (or (= @t1 tptp.sz00) @t23))))) % 0.71/0.91 (assume @p18 @t34) % 0.71/0.91 (assume @p19 @t39) % 0.71/0.91 (assume @p20 (forall @t12 (=> (and @t2 @t10 @t27) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t7)))) % 0.71/0.91 (assume @p21 (and @t42 @t41 @t40 (not (= tptp.xq tptp.sz00)))) % 0.71/0.91 (assume @p22 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq)) % 0.71/0.91 (assume @p23 (and @t43 (= (tptp.sdtasdt0 tptp.xq tptp.xn) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb))))) % 0.71/0.91 (assume @p24 @t48) % 0.71/0.91 (assume @p25 (not @t49)) % 0.71/0.91 (assume @p26 true) % 0.71/0.91 (step @p27 :rule quant-merge-prenex :args ((= (forall @t3 @t56) (forall (@list @t1 @t50) @t54)))) % 0.71/0.91 (step @p28 :rule alpha_equiv :args (@t57 (@list @t50) (@list @t7))) % 0.71/0.91 (step @p29 :rule refl :args (@t53)) % 0.71/0.91 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t58)) % 0.71/0.91 (step @p31 :rule quant-miniscope-or :args ((= @t56 @t58))) % 0.71/0.91 (step @p32 :rule trans :premises (@p31 @p30)) % 0.71/0.91 (step @p33 :rule symm :premises (@p32)) % 0.71/0.91 (step @p34 :rule cong :premises (@p33) :args ((forall @t3 (or @t53 @t60)))) % 0.71/0.91 (step @p35 :rule trans :premises (@p34 @p27)) % 0.71/0.91 (step @p36 :rule bool-impl-elim :args (@t2 @t60)) % 0.71/0.91 (step @p37 :rule cong :premises (@p36) :args ((forall @t3 (=> @t2 @t60)))) % 0.71/0.91 (step @p38 :rule trans :premises (@p37 @p35)) % 0.71/0.91 (step @p39 :rule bool-and-de-morgan :args (@t17 @t59 true)) % 0.71/0.91 (step @p40 :rule cong :premises (@p39) :args (@t62)) % 0.71/0.91 (step @p41 :rule cong :premises (@p40) :args (@t63)) % 0.71/0.91 (step @p42 :rule exists-elim :args ((= (exists @t25 @t61) @t63))) % 0.71/0.91 (step @p43 :rule trans :premises (@p42 @p41)) % 0.71/0.91 (step @p44 :rule eq-symm :args (@t20 @t1)) % 0.71/0.91 (step @p45 :rule refl :args (@t17)) % 0.71/0.91 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t24)) % 0.71/0.91 (step @p47 :rule cong :premises (@p46) :args (@t26)) % 0.71/0.91 (step @p48 :rule trans :premises (@p47 @p43)) % 0.71/0.91 (step @p49 :rule eq-symm :args (@t7 tptp.sz00)) % 0.71/0.91 (step @p50 :rule cong :premises (@p49) :args (@t27)) % 0.71/0.91 (step @p51 :rule refl :args (@t10)) % 0.71/0.91 (step @p52 :rule nary_cong :premises (@p51 @p50 @p48) :args (@t28)) % 0.71/0.91 (step @p53 :rule refl :args (@t29)) % 0.71/0.91 (step @p54 :rule cong :premises (@p53 @p52) :args (@t30)) % 0.71/0.91 (step @p55 :rule cong :premises (@p54) :args (@t32)) % 0.71/0.91 (step @p56 :rule refl :args (@t2)) % 0.71/0.91 (step @p57 :rule cong :premises (@p56 @p55) :args (@t33)) % 0.71/0.91 (step @p58 :rule cong :premises (@p57) :args (@t34)) % 0.71/0.91 (step @p59 :rule trans :premises (@p58 @p38)) % 0.71/0.91 (step @p60 :rule eq_resolve :premises (@p18 @p59)) % 0.71/0.91 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t45 tptp.xq))) % 0.71/0.91 (step @p62 :rule aci_norm :args ((= (or (or @t53 @t64) @t9) (or @t53 @t64 @t9)))) % 0.71/0.91 (step @p63 :rule refl :args (@t9)) % 0.71/0.91 (step @p64 :rule bool-and-de-morgan :args (@t2 @t10 true)) % 0.71/0.91 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t11) @t9))) % 0.71/0.91 (step @p66 :rule trans :premises (@p65 @p62)) % 0.71/0.91 (step @p67 :rule bool-impl-elim :args (@t11 @t9)) % 0.71/0.91 (step @p68 :rule trans :premises (@p67 @p66)) % 0.71/0.91 (step @p69 :rule cong :premises (@p68) :args (@t13)) % 0.71/0.91 (step @p70 :rule eq_resolve :premises (@p5 @p69)) % 0.71/0.91 (step @p71 :rule instantiate :premises (@p70) :args ((@list tptp.xb @t44))) % 0.71/0.91 (step @p72 :rule bool-impl-elim :args (@t2 @t5)) % 0.71/0.91 (step @p73 :rule cong :premises (@p72) :args (@t6)) % 0.71/0.91 (step @p74 :rule eq_resolve :premises (@p4 @p73)) % 0.71/0.91 (step @p75 :rule instantiate :premises (@p74) :args ((@list tptp.xa))) % 0.71/0.91 (step @p76 :rule and_elim :premises (@p21) :args (0)) % 0.71/0.91 (step @p77 :rule cnf_or_pos :args (@t67)) % 0.71/0.91 (step @p78 :rule reordering :premises (@p77) :args ((or @t66 @t65 (not @t67)))) % 0.71/0.91 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p75) :args (@t65 @t68 (@list @t42 @t67))) % 0.71/0.91 (step @p80 :rule and_elim :premises (@p21) :args (1)) % 0.71/0.91 (step @p81 :rule cnf_or_pos :args (@t72)) % 0.71/0.91 (step @p82 :rule reordering :premises (@p81) :args ((or @t71 @t70 @t69 (not @t72)))) % 0.71/0.91 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p79 @p71) :args (@t69 (@list false false false) (@list @t41 @t65 @t72))) % 0.71/0.91 (step @p84 :rule cnf_or_pos :args (@t81)) % 0.71/0.91 (step @p85 :rule reordering :premises (@p84) :args ((or @t80 @t79 (not @t81)))) % 0.71/0.91 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p61) :args (@t79 @t68 (@list @t69 @t81))) % 0.71/0.91 (step @p87 :rule aci_norm :args ((= (or (or @t53 @t64 @t51 @t82) @t35) (or @t53 @t64 @t51 @t82 @t35)))) % 0.71/0.91 (step @p88 :rule refl :args (@t35)) % 0.71/0.91 (step @p89 :rule bool-double-not-elim :args (@t82)) % 0.71/0.91 (step @p90 :rule refl :args (@t51)) % 0.71/0.91 (step @p91 :rule refl :args (@t64)) % 0.71/0.91 (step @p92 :rule nary_cong :premises (@p29 @p91 @p90 @p89) :args (@t85)) % 0.71/0.91 (step @p93 :rule aci_norm :args ((= (or @t53 (or @t64 (or @t51 @t84))) @t85))) % 0.71/0.91 (step @p94 :rule trans :premises (@p93 @p92)) % 0.71/0.91 (step @p95 :rule bool-and-de-morgan :args (@t17 @t83 true)) % 0.71/0.91 (step @p96 :rule nary_cong :premises (@p91 @p95) :args ((or @t64 (not (and @t17 @t83))))) % 0.71/0.91 (step @p97 :rule bool-and-de-morgan :args (@t10 @t17 (and @t83))) % 0.71/0.91 (step @p98 :rule trans :premises (@p97 @p96)) % 0.71/0.91 (step @p99 :rule nary_cong :premises (@p29 @p98) :args ((or @t53 (not (and @t10 @t17 @t83))))) % 0.71/0.91 (step @p100 :rule bool-and-de-morgan :args (@t2 @t10 (and @t17 @t83))) % 0.71/0.91 (step @p101 :rule trans :premises (@p100 @p99)) % 0.71/0.91 (step @p102 :rule trans :premises (@p101 @p94)) % 0.71/0.91 (step @p103 :rule nary_cong :premises (@p102 @p88) :args ((or (not @t86) @t35))) % 0.71/0.91 (step @p104 :rule trans :premises (@p103 @p87)) % 0.71/0.91 (step @p105 :rule bool-impl-elim :args (@t86 @t35)) % 0.71/0.91 (step @p106 :rule trans :premises (@p105 @p104)) % 0.71/0.91 (step @p107 :rule cong :premises (@p106) :args ((forall @t19 (=> @t86 @t35)))) % 0.71/0.91 (step @p108 :rule refl :args (@t35)) % 0.71/0.91 (step @p109 :rule eq-symm :args (@t15 tptp.sz00)) % 0.71/0.91 (step @p110 :rule cong :premises (@p109) :args (@t36)) % 0.71/0.91 (step @p111 :rule nary_cong :premises (@p56 @p51 @p45 @p110) :args (@t37)) % 0.71/0.91 (step @p112 :rule cong :premises (@p111 @p108) :args (@t38)) % 0.71/0.91 (step @p113 :rule cong :premises (@p112) :args (@t39)) % 0.71/0.91 (step @p114 :rule trans :premises (@p113 @p107)) % 0.71/0.91 (step @p115 :rule eq_resolve :premises (@p19 @p114)) % 0.71/0.91 (step @p116 :rule instantiate :premises (@p115) :args ((@list tptp.xb tptp.xa tptp.xq))) % 0.71/0.91 (step @p117 :rule and_elim :premises (@p21) :args (2)) % 0.71/0.91 (step @p118 :rule and_elim :premises (@p21) :args (3)) % 0.71/0.91 (step @p119 :rule symm :premises (@p118)) % 0.71/0.91 (step @p120 :rule cnf_or_pos :args (@t89)) % 0.71/0.91 (step @p121 :rule reordering :premises (@p120) :args ((or @t75 @t66 @t71 @t88 @t87 (not @t89)))) % 0.71/0.91 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p76 @p80 @p117 @p116) :args (@t87 (@list true false false false false) (@list @t75 @t42 @t41 @t40 @t89))) % 0.71/0.92 (step @p123 :rule cnf_equiv_pos2 :args (@t87)) % 0.71/0.92 (step @p124 :rule reordering :premises (@p123) :args ((or @t49 @t90 (not @t87)))) % 0.71/0.92 (step @p125 :rule chain_m_resolution :premises (@p124 @p25 @p122) :args (@t90 @t91 (@list @t49 @t87))) % 0.71/0.92 (step @p126 :rule cnf_equiv_pos2 :args (@t79)) % 0.71/0.92 (step @p127 :rule reordering :premises (@p126) :args ((or @t78 @t92 (not @t79)))) % 0.71/0.92 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p86) :args (@t92 @t91 (@list @t78 @t79))) % 0.71/0.92 (step @p129 :rule bool-double-not-elim :args (@t73)) % 0.71/0.92 (step @p130 :rule bool-double-not-elim :args (@t75)) % 0.71/0.92 (step @p131 :rule refl :args (@t88)) % 0.71/0.92 (step @p132 :rule refl :args (@t77)) % 0.71/0.92 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130 @p129) :args ((or @t77 @t88 (not @t76) (not @t74)))) % 0.71/0.92 (step @p134 :rule cnf_and_neg :args (@t77)) % 0.71/0.92 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.71/0.92 (step @p136 :rule reordering :premises (@p135) :args ((or @t75 @t88 @t73 @t77))) % 0.71/0.92 (step @p137 :rule chain_m_resolution :premises (@p136 @p119 @p117 @p128) :args (@t73 (@list true false true) (@list @t75 @t40 @t77))) % 0.71/0.92 (step @p138 :rule instantiate :premises (@p74) :args ((@list tptp.xn))) % 0.71/0.92 (step @p139 :rule and_elim :premises (@p23) :args (0)) % 0.71/0.92 (step @p140 :rule cnf_or_pos :args (@t95)) % 0.71/0.92 (step @p141 :rule reordering :premises (@p140) :args ((or @t94 @t93 (not @t95)))) % 0.71/0.92 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p138) :args (@t93 @t68 (@list @t43 @t95))) % 0.71/0.92 (step @p143 :rule cnf_or_pos :args (@t98)) % 0.71/0.92 (step @p144 :rule reordering :premises (@p143) :args ((or @t96 @t97 @t99))) % 0.71/0.92 (step @p145 :rule chain_m_resolution :premises (@p144 @p24 @p142) :args (@t99 @t68 (@list @t48 @t93))) % 0.71/0.92 (step @p146 :rule eq-symm :args (@t45 @t47)) % 0.71/0.92 (step @p147 :rule cong :premises (@p146) :args (@t100)) % 0.71/0.92 (step @p148 :rule refl :args (@t97)) % 0.71/0.92 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t101)) % 0.71/0.92 (step @p150 :rule refl :args (@t73)) % 0.71/0.92 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t73 @t101))) % 0.71/0.92 (assume-push @p159 @t73) % 0.71/0.92 (step @p153 :rule instantiate :premises (@p137) :args ((@list @t46))) % 0.71/0.92 (step-pop @p160 :rule scope :premises (@p153)) % 0.71/0.92 (step @p154 :rule process_scope :premises (@p160) :args (@t101)) % 0.71/0.92 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 0.71/0.92 (step @p157 :rule implies_elim :premises (@p156)) % 0.71/0.92 (step @p158 false :rule chain_m_resolution :premises (@p157 @p145 @p137) :args (false @t91 (@list @t98 @t73))) % 0.71/0.92 ) % 0.71/0.92 % SZS output end Proof % 0.71/0.92 % cvc5 exiting %------------------------------------------------------------------------------