%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM433+3 : 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 : n028.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 08:39:23 AM UTC 2026 % Result : Theorem 2.53s 2.77s % Output : Proof 2.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM433+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.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 11:18:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 2.53/2.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.53/2.77 % SZS status Theorem % 2.53/2.77 % SZS output start Proof % 2.53/2.77 ( % 2.53/2.77 (declare-sort $$unsorted 0) % 2.53/2.77 (declare-const tptp.xa $$unsorted) % 2.53/2.77 (declare-const tptp.xb $$unsorted) % 2.53/2.77 (declare-const tptp.xq $$unsorted) % 2.53/2.77 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.77 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 2.53/2.77 (declare-const tptp.xp $$unsorted) % 2.53/2.77 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 2.53/2.77 (declare-const tptp.sz10 $$unsorted) % 2.53/2.77 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.53/2.77 (declare-const tptp.sz00 $$unsorted) % 2.53/2.77 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 2.53/2.77 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 2.53/2.77 (define @t1 () (@var "W0" $$unsorted)) % 2.53/2.77 (define @t2 () (tptp.aInteger0 @t1)) % 2.53/2.77 (define @t3 () (@list @t1)) % 2.53/2.77 (define @t4 () (tptp.smndt0 @t1)) % 2.53/2.77 (define @t5 () (@var "W1" $$unsorted)) % 2.53/2.77 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 2.53/2.77 (define @t7 () (tptp.aInteger0 @t5)) % 2.53/2.77 (define @t8 () (and @t2 @t7)) % 2.53/2.77 (define @t9 () (@list @t1 @t5)) % 2.53/2.77 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 2.53/2.77 (define @t11 () (tptp.aInteger0 @t10)) % 2.53/2.77 (define @t12 () (forall @t9 (=> @t8 @t11))) % 2.53/2.77 (define @t13 () (@var "W2" $$unsorted)) % 2.53/2.77 (define @t14 () (tptp.sdtpldt0 @t5 @t13)) % 2.53/2.77 (define @t15 () (tptp.aInteger0 @t13)) % 2.53/2.77 (define @t16 () (and @t2 @t7 @t15)) % 2.53/2.77 (define @t17 () (@list @t1 @t5 @t13)) % 2.53/2.77 (define @t18 () (tptp.sdtasdt0 @t5 @t13)) % 2.53/2.77 (define @t19 () (= (tptp.sdtasdt0 @t1 @t18) (tptp.sdtasdt0 @t10 @t13))) % 2.53/2.77 (define @t20 () (forall @t17 (=> @t16 @t19))) % 2.53/2.77 (define @t21 () (= @t10 (tptp.sdtasdt0 @t5 @t1))) % 2.53/2.77 (define @t22 () (forall @t9 (=> @t8 @t21))) % 2.53/2.77 (define @t23 () (tptp.sdtasdt0 @t1 @t13)) % 2.53/2.77 (define @t24 () (tptp.smndt0 tptp.sz10)) % 2.53/2.77 (define @t25 () (= @t5 tptp.sz00)) % 2.53/2.77 (define @t26 () (not @t25)) % 2.53/2.77 (define @t27 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t13)) % 2.53/2.77 (define @t28 () (not (= @t13 tptp.sz00))) % 2.53/2.77 (define @t29 () (and @t2 @t7 @t15 @t28)) % 2.53/2.77 (define @t30 () (@var "W3" $$unsorted)) % 2.53/2.77 (define @t31 () (tptp.aInteger0 tptp.xq)) % 2.53/2.77 (define @t32 () (tptp.aInteger0 tptp.xp)) % 2.53/2.77 (define @t33 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq)) % 2.53/2.77 (define @t34 () (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb))) % 2.53/2.77 (define @t35 () (tptp.aDivisorOf0 tptp.xq @t34)) % 2.53/2.77 (define @t36 () (tptp.sdtasdt0 tptp.xq @t1)) % 2.53/2.77 (define @t37 () (and @t2 (= @t36 @t34))) % 2.53/2.77 (define @t38 () (exists @t3 @t37)) % 2.53/2.77 (define @t39 () (or @t38 @t35 @t33)) % 2.53/2.77 (define @t40 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xp)) % 2.53/2.77 (define @t41 () (tptp.aDivisorOf0 tptp.xp @t34)) % 2.53/2.77 (define @t42 () (tptp.sdtasdt0 tptp.xp @t1)) % 2.53/2.77 (define @t43 () (and @t2 (= @t42 @t34))) % 2.53/2.77 (define @t44 () (exists @t3 @t43)) % 2.53/2.77 (define @t45 () (or @t44 @t41 @t40)) % 2.53/2.77 (define @t46 () (and @t45 @t39)) % 2.53/2.77 (define @t47 () (tptp.sdtasdt0 tptp.xp tptp.xq)) % 2.53/2.77 (define @t48 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb @t47)) % 2.53/2.77 (define @t49 () (tptp.aDivisorOf0 @t47 @t34)) % 2.53/2.77 (define @t50 () (tptp.sdtasdt0 @t47 @t1)) % 2.53/2.77 (define @t51 () (and @t2 (= @t50 @t34))) % 2.53/2.77 (define @t52 () (exists @t3 @t51)) % 2.53/2.77 (define @t53 () (not (= @t47 tptp.sz00))) % 2.53/2.77 (define @t54 () (and @t53 @t52 @t49 @t48)) % 2.53/2.77 (define @t55 () (=> @t54 @t46)) % 2.53/2.77 (define @t56 () (not @t55)) % 2.53/2.77 (define @t57 () (= @t34 @t36)) % 2.53/2.77 (define @t58 () (and @t2 @t57)) % 2.53/2.77 (define @t59 () (forall @t3 (not @t58))) % 2.53/2.77 (define @t60 () (not @t59)) % 2.53/2.77 (define @t61 () (= @t34 @t42)) % 2.53/2.77 (define @t62 () (and @t2 @t61)) % 2.53/2.77 (define @t63 () (forall @t3 (not @t62))) % 2.53/2.77 (define @t64 () (not @t63)) % 2.53/2.77 (define @t65 () (= @t34 @t50)) % 2.53/2.77 (define @t66 () (and @t2 @t65)) % 2.53/2.77 (define @t67 () (forall @t3 (not @t66))) % 2.53/2.77 (define @t68 () (not @t67)) % 2.53/2.77 (define @t69 () (not @t2)) % 2.53/2.77 (define @t70 () (@quantifiers_skolemize (forall @t3 (or @t69 (not @t65))) 0)) % 2.53/2.77 (define @t71 () (tptp.sdtasdt0 @t47 @t70)) % 2.53/2.77 (define @t72 () (= @t34 @t71)) % 2.53/2.77 (define @t73 () (not @t72)) % 2.53/2.77 (define @t74 () (tptp.aInteger0 @t70)) % 2.53/2.77 (define @t75 () (not @t74)) % 2.53/2.77 (define @t76 () (or @t75 @t73)) % 2.53/2.77 (define @t77 () (@list true)) % 2.53/2.77 (define @t78 () (@list @t76)) % 2.53/2.77 (define @t79 () (not @t15)) % 2.53/2.77 (define @t80 () (not @t7)) % 2.53/2.77 (define @t81 () (or @t69 @t80 @t79 @t19)) % 2.53/2.77 (define @t82 () (or @t69 @t80 @t79)) % 2.53/2.77 (define @t83 () (tptp.sdtasdt0 tptp.xq @t70)) % 2.53/2.77 (define @t84 () (tptp.sdtasdt0 tptp.xp @t83)) % 2.53/2.77 (define @t85 () (not @t31)) % 2.53/2.77 (define @t86 () (not @t32)) % 2.53/2.77 (define @t87 () (or @t86 @t85 @t75 (= @t84 @t71))) % 2.53/2.77 (define @t88 () (forall @t17 @t81)) % 2.53/2.77 (define @t89 () (= @t71 @t84)) % 2.53/2.77 (define @t90 () (or @t86 @t85 @t75 @t89)) % 2.53/2.77 (define @t91 () (@list false)) % 2.53/2.77 (define @t92 () (@list false false false false)) % 2.53/2.77 (define @t93 () (tptp.sdtasdt0 tptp.xq tptp.xp)) % 2.53/2.77 (define @t94 () (tptp.sdtasdt0 tptp.xp @t70)) % 2.53/2.77 (define @t95 () (tptp.sdtasdt0 tptp.xq @t94)) % 2.53/2.77 (define @t96 () (= @t95 (tptp.sdtasdt0 @t93 @t70))) % 2.53/2.77 (define @t97 () (or @t85 @t86 @t75 @t96)) % 2.53/2.77 (define @t98 () (or @t69 @t80)) % 2.53/2.77 (define @t99 () (not @t8)) % 2.53/2.77 (define @t100 () (= @t47 @t93)) % 2.53/2.77 (define @t101 () (or @t86 @t85 @t100)) % 2.53/2.77 (define @t102 () (@list false false false)) % 2.53/2.77 (define @t103 () (tptp.aInteger0 @t94)) % 2.53/2.77 (define @t104 () (or @t86 @t75 @t103)) % 2.53/2.77 (define @t105 () (= @t34 @t95)) % 2.53/2.77 (define @t106 () (not @t105)) % 2.53/2.77 (define @t107 () (not @t103)) % 2.53/2.77 (define @t108 () (or @t107 @t106)) % 2.53/2.77 (define @t109 () (not @t108)) % 2.53/2.77 (define @t110 () (@list false false)) % 2.53/2.77 (define @t111 () (forall @t3 (or @t69 (not @t57)))) % 2.53/2.77 (define @t112 () (not @t111)) % 2.53/2.77 (define @t113 () (or @t112 @t35 @t33)) % 2.53/2.77 (define @t114 () (forall @t3 (or @t69 (not @t61)))) % 2.53/2.77 (define @t115 () (not @t114)) % 2.53/2.77 (define @t116 () (or @t115 @t41 @t40)) % 2.53/2.77 (define @t117 () (= @t34 @t84)) % 2.53/2.77 (define @t118 () (not @t117)) % 2.53/2.77 (define @t119 () (tptp.aInteger0 @t83)) % 2.53/2.77 (define @t120 () (not @t119)) % 2.53/2.77 (define @t121 () (or @t120 @t118)) % 2.53/2.77 (define @t122 () (or @t85 @t75 @t119)) % 2.53/2.77 (define @t123 () (not @t89)) % 2.53/2.77 (define @t124 () (and @t118 @t89 @t72)) % 2.53/2.77 (assume @p1 (forall @t3 (=> @t2 true))) % 2.53/2.77 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 2.53/2.77 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 2.53/2.77 (assume @p4 (forall @t3 (=> @t2 (tptp.aInteger0 @t4)))) % 2.53/2.77 (assume @p5 (forall @t9 (=> @t8 (tptp.aInteger0 @t6)))) % 2.53/2.77 (assume @p6 @t12) % 2.53/2.77 (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t1 @t14) (tptp.sdtpldt0 @t6 @t13))))) % 2.53/2.77 (assume @p8 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 2.53/2.77 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 2.53/2.77 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 2.53/2.77 (assume @p11 @t20) % 2.53/2.77 (assume @p12 @t22) % 2.53/2.77 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 2.53/2.77 (assume @p14 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t10 @t23)) (= (tptp.sdtasdt0 @t6 @t13) (tptp.sdtpldt0 @t23 @t18)))))) % 2.53/2.77 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 2.53/2.77 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t24 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t24)))))) % 2.53/2.77 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or (= @t1 tptp.sz00) @t25))))) % 2.53/2.77 (assume @p18 (forall @t3 (=> @t2 (forall (@list @t5) (= (tptp.aDivisorOf0 @t5 @t1) (and @t7 @t26 (exists (@list @t13) (and @t15 (= @t18 @t1))))))))) % 2.53/2.77 (assume @p19 (forall @t17 (=> @t29 (= @t27 (tptp.aDivisorOf0 @t13 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5))))))) % 2.53/2.77 (assume @p20 (forall @t9 (=> (and @t2 @t7 @t26) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t5)))) % 2.53/2.77 (assume @p21 (forall @t17 (=> @t29 (=> @t27 (tptp.sdteqdtlpzmzozddtrp0 @t5 @t1 @t13))))) % 2.53/2.77 (assume @p22 (forall (@list @t1 @t5 @t13 @t30) (=> (and @t2 @t7 @t15 @t28 (tptp.aInteger0 @t30)) (=> (and @t27 (tptp.sdteqdtlpzmzozddtrp0 @t5 @t30 @t13)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t30 @t13))))) % 2.53/2.77 (assume @p23 (and (tptp.aInteger0 tptp.xa) (tptp.aInteger0 tptp.xb) @t32 (not (= tptp.xp tptp.sz00)) @t31 (not (= tptp.xq tptp.sz00)))) % 2.53/2.77 (assume @p24 @t56) % 2.53/2.77 (assume @p25 true) % 2.53/2.77 (step @p26 :rule refl :args (@t33)) % 2.53/2.77 (step @p27 :rule refl :args (@t35)) % 2.53/2.77 (step @p28 :rule bool-and-de-morgan :args (@t2 @t57 true)) % 2.53/2.77 (step @p29 :rule cong :premises (@p28) :args (@t59)) % 2.53/2.77 (step @p30 :rule cong :premises (@p29) :args (@t60)) % 2.53/2.77 (step @p31 :rule exists-elim :args ((= (exists @t3 @t58) @t60))) % 2.53/2.77 (step @p32 :rule trans :premises (@p31 @p30)) % 2.53/2.77 (step @p33 :rule eq-symm :args (@t36 @t34)) % 2.53/2.77 (step @p34 :rule refl :args (@t2)) % 2.53/2.77 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t37)) % 2.53/2.77 (step @p36 :rule cong :premises (@p35) :args (@t38)) % 2.53/2.77 (step @p37 :rule trans :premises (@p36 @p32)) % 2.53/2.77 (step @p38 :rule nary_cong :premises (@p37 @p27 @p26) :args (@t39)) % 2.53/2.77 (step @p39 :rule refl :args (@t40)) % 2.53/2.77 (step @p40 :rule refl :args (@t41)) % 2.53/2.77 (step @p41 :rule bool-and-de-morgan :args (@t2 @t61 true)) % 2.53/2.77 (step @p42 :rule cong :premises (@p41) :args (@t63)) % 2.53/2.77 (step @p43 :rule cong :premises (@p42) :args (@t64)) % 2.53/2.77 (step @p44 :rule exists-elim :args ((= (exists @t3 @t62) @t64))) % 2.53/2.77 (step @p45 :rule trans :premises (@p44 @p43)) % 2.53/2.77 (step @p46 :rule eq-symm :args (@t42 @t34)) % 2.53/2.77 (step @p47 :rule nary_cong :premises (@p34 @p46) :args (@t43)) % 2.53/2.77 (step @p48 :rule cong :premises (@p47) :args (@t44)) % 2.53/2.77 (step @p49 :rule trans :premises (@p48 @p45)) % 2.53/2.77 (step @p50 :rule nary_cong :premises (@p49 @p40 @p39) :args (@t45)) % 2.53/2.77 (step @p51 :rule nary_cong :premises (@p50 @p38) :args (@t46)) % 2.53/2.77 (step @p52 :rule refl :args (@t48)) % 2.53/2.77 (step @p53 :rule refl :args (@t49)) % 2.53/2.77 (step @p54 :rule bool-and-de-morgan :args (@t2 @t65 true)) % 2.53/2.77 (step @p55 :rule cong :premises (@p54) :args (@t67)) % 2.53/2.77 (step @p56 :rule cong :premises (@p55) :args (@t68)) % 2.53/2.77 (step @p57 :rule exists-elim :args ((= (exists @t3 @t66) @t68))) % 2.53/2.77 (step @p58 :rule trans :premises (@p57 @p56)) % 2.53/2.77 (step @p59 :rule eq-symm :args (@t50 @t34)) % 2.53/2.77 (step @p60 :rule nary_cong :premises (@p34 @p59) :args (@t51)) % 2.53/2.77 (step @p61 :rule cong :premises (@p60) :args (@t52)) % 2.53/2.77 (step @p62 :rule trans :premises (@p61 @p58)) % 2.53/2.77 (step @p63 :rule eq-symm :args (@t47 tptp.sz00)) % 2.53/2.77 (step @p64 :rule cong :premises (@p63) :args (@t53)) % 2.53/2.77 (step @p65 :rule nary_cong :premises (@p64 @p62 @p53 @p52) :args (@t54)) % 2.53/2.77 (step @p66 :rule cong :premises (@p65 @p51) :args (@t55)) % 2.53/2.77 (step @p67 :rule cong :premises (@p66) :args (@t56)) % 2.53/2.77 (step @p68 :rule eq_resolve :premises (@p24 @p67)) % 2.53/2.77 (step @p69 :rule not_implies_elim1 :premises (@p68)) % 2.53/2.77 (step @p70 :rule and_elim :premises (@p69) :args (1)) % 2.53/2.77 (step @p71 :rule skolemize :premises (@p70)) % 2.53/2.77 (step @p72 :rule bool-double-not-elim :args (@t72)) % 2.53/2.77 (step @p73 :rule refl :args (@t76)) % 2.53/2.77 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t76 (not @t73)))) % 2.53/2.77 (step @p75 :rule cnf_or_neg :args (@t76 1)) % 2.53/2.77 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 2.53/2.77 (step @p77 :rule reordering :premises (@p76) :args ((or @t72 @t76))) % 2.53/2.77 (step @p78 :rule chain_m_resolution :premises (@p77 @p71) :args (@t72 @t77 @t78)) % 2.53/2.77 (step @p79 :rule aci_norm :args ((= (or @t82 @t19) @t81))) % 2.53/2.77 (step @p80 :rule refl :args (@t19)) % 2.53/2.77 (step @p81 :rule aci_norm :args ((= (or @t69 (or @t80 @t79)) @t82))) % 2.53/2.77 (step @p82 :rule bool-and-de-morgan :args (@t7 @t15 true)) % 2.53/2.77 (step @p83 :rule refl :args (@t69)) % 2.53/2.77 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t69 (not (and @t7 @t15))))) % 2.53/2.77 (step @p85 :rule bool-and-de-morgan :args (@t2 @t7 (and @t15))) % 2.53/2.77 (step @p86 :rule trans :premises (@p85 @p84)) % 2.53/2.77 (step @p87 :rule trans :premises (@p86 @p81)) % 2.53/2.77 (step @p88 :rule nary_cong :premises (@p87 @p80) :args ((or (not @t16) @t19))) % 2.53/2.77 (step @p89 :rule trans :premises (@p88 @p79)) % 2.53/2.77 (step @p90 :rule bool-impl-elim :args (@t16 @t19)) % 2.53/2.77 (step @p91 :rule trans :premises (@p90 @p89)) % 2.53/2.77 (step @p92 :rule cong :premises (@p91) :args (@t20)) % 2.53/2.77 (step @p93 :rule eq_resolve :premises (@p11 @p92)) % 2.53/2.77 (step @p94 :rule eq-symm :args (@t84 @t71)) % 2.53/2.77 (step @p95 :rule refl :args (@t75)) % 2.53/2.77 (step @p96 :rule refl :args (@t85)) % 2.53/2.77 (step @p97 :rule refl :args (@t86)) % 2.53/2.77 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95 @p94) :args (@t87)) % 2.53/2.77 (step @p99 :rule refl :args (@t88)) % 2.53/2.77 (step @p100 :rule cong :premises (@p99 @p98) :args ((=> @t88 @t87))) % 2.53/2.77 (assume-push @p222 @t88) % 2.53/2.77 (step @p102 :rule instantiate :premises (@p93) :args ((@list tptp.xp tptp.xq @t70))) % 2.53/2.77 (step-pop @p223 :rule scope :premises (@p102)) % 2.53/2.77 (step @p103 :rule process_scope :premises (@p223) :args (@t87)) % 2.53/2.77 (step @p105 :rule eq_resolve :premises (@p103 @p100)) % 2.53/2.77 (step @p106 :rule implies_elim :premises (@p105)) % 2.53/2.77 (step @p107 :rule chain_m_resolution :premises (@p106 @p93) :args (@t90 @t91 (@list @t88))) % 2.53/2.77 (step @p108 :rule bool-double-not-elim :args (@t74)) % 2.53/2.77 (step @p109 :rule nary_cong :premises (@p73 @p108) :args ((or @t76 (not @t75)))) % 2.53/2.77 (step @p110 :rule cnf_or_neg :args (@t76 0)) % 2.53/2.77 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 2.53/2.77 (step @p112 :rule reordering :premises (@p111) :args ((or @t74 @t76))) % 2.53/2.77 (step @p113 :rule chain_m_resolution :premises (@p112 @p71) :args (@t74 @t77 @t78)) % 2.53/2.77 (step @p114 :rule and_elim :premises (@p23) :args (4)) % 2.53/2.77 (step @p115 :rule and_elim :premises (@p23) :args (2)) % 2.53/2.77 (step @p116 :rule cnf_or_pos :args (@t90)) % 2.53/2.77 (step @p117 :rule reordering :premises (@p116) :args ((or @t86 @t85 @t75 @t89 (not @t90)))) % 2.53/2.77 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p114 @p113 @p107) :args (@t89 @t92 (@list @t32 @t31 @t74 @t90))) % 2.53/2.77 (step @p119 :rule instantiate :premises (@p93) :args ((@list tptp.xq tptp.xp @t70))) % 2.53/2.77 (step @p120 :rule cnf_or_pos :args (@t97)) % 2.53/2.77 (step @p121 :rule reordering :premises (@p120) :args ((or @t86 @t85 @t75 @t96 (not @t97)))) % 2.53/2.77 (step @p122 :rule chain_m_resolution :premises (@p121 @p115 @p114 @p113 @p119) :args (@t96 @t92 (@list @t32 @t31 @t74 @t97))) % 2.53/2.77 (step @p123 :rule symm :premises (@p122)) % 2.53/2.77 (step @p124 :rule refl :args (@t70)) % 2.53/2.77 (step @p125 :rule aci_norm :args ((= (or @t98 @t21) (or @t69 @t80 @t21)))) % 2.53/2.77 (step @p126 :rule refl :args (@t21)) % 2.53/2.77 (step @p127 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 2.53/2.77 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t99 @t21))) % 2.53/2.77 (step @p129 :rule trans :premises (@p128 @p125)) % 2.53/2.77 (step @p130 :rule bool-impl-elim :args (@t8 @t21)) % 2.53/2.77 (step @p131 :rule trans :premises (@p130 @p129)) % 2.53/2.77 (step @p132 :rule cong :premises (@p131) :args (@t22)) % 2.53/2.77 (step @p133 :rule eq_resolve :premises (@p12 @p132)) % 2.53/2.77 (step @p134 :rule instantiate :premises (@p133) :args ((@list tptp.xp tptp.xq))) % 2.53/2.77 (step @p135 :rule cnf_or_pos :args (@t101)) % 2.53/2.77 (step @p136 :rule reordering :premises (@p135) :args ((or @t86 @t85 @t100 (not @t101)))) % 2.53/2.77 (step @p137 :rule chain_m_resolution :premises (@p136 @p115 @p114 @p134) :args (@t100 @t102 (@list @t32 @t31 @t101))) % 2.53/2.77 (step @p138 :rule cong :premises (@p137 @p124) :args (@t71)) % 2.53/2.77 (step @p139 :rule trans :premises (@p78 @p138 @p123)) % 2.53/2.77 (step @p140 :rule aci_norm :args ((= (or @t98 @t11) (or @t69 @t80 @t11)))) % 2.53/2.77 (step @p141 :rule refl :args (@t11)) % 2.53/2.77 (step @p142 :rule nary_cong :premises (@p127 @p141) :args ((or @t99 @t11))) % 2.53/2.77 (step @p143 :rule trans :premises (@p142 @p140)) % 2.53/2.77 (step @p144 :rule bool-impl-elim :args (@t8 @t11)) % 2.53/2.77 (step @p145 :rule trans :premises (@p144 @p143)) % 2.53/2.77 (step @p146 :rule cong :premises (@p145) :args (@t12)) % 2.53/2.77 (step @p147 :rule eq_resolve :premises (@p6 @p146)) % 2.53/2.77 (step @p148 :rule instantiate :premises (@p147) :args ((@list tptp.xp @t70))) % 2.53/2.77 (step @p149 :rule cnf_or_pos :args (@t104)) % 2.53/2.77 (step @p150 :rule reordering :premises (@p149) :args ((or @t86 @t75 @t103 (not @t104)))) % 2.53/2.77 (step @p151 :rule chain_m_resolution :premises (@p150 @p115 @p113 @p148) :args (@t103 @t102 (@list @t32 @t74 @t104))) % 2.53/2.77 (step @p152 :rule cnf_or_pos :args (@t108)) % 2.53/2.77 (step @p153 :rule reordering :premises (@p152) :args ((or @t107 @t106 @t109))) % 2.53/2.77 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p139) :args (@t109 @t110 (@list @t103 @t105))) % 2.53/2.77 (assume-push @p224 @t111) % 2.53/2.77 (step @p156 :rule instantiate :premises (@p224) :args ((@list @t94))) % 2.53/2.77 (step-pop @p225 :rule scope :premises (@p156)) % 2.53/2.77 (step @p157 :rule process_scope :premises (@p225) :args (@t108)) % 2.53/2.77 (step @p159 :rule implies_elim :premises (@p157)) % 2.53/2.77 (step @p160 :rule chain_m_resolution :premises (@p159 @p154) :args (@t112 @t77 (@list @t108))) % 2.53/2.77 (step @p161 :rule bool-double-not-elim :args (@t111)) % 2.53/2.77 (step @p162 :rule refl :args (@t113)) % 2.53/2.77 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t113 (not @t112)))) % 2.53/2.77 (step @p164 :rule cnf_or_neg :args (@t113 0)) % 2.53/2.77 (step @p165 :rule eq_resolve :premises (@p164 @p163)) % 2.53/2.77 (step @p166 :rule reordering :premises (@p165) :args ((or @t111 @t113))) % 2.53/2.77 (step @p167 :rule chain_m_resolution :premises (@p166 @p160) :args (@t113 @t77 (@list @t111))) % 2.53/2.77 (step @p168 :rule not_implies_elim2 :premises (@p68)) % 2.53/2.77 (step @p169 :rule not_and :premises (@p168)) % 2.53/2.77 (step @p170 :rule chain_m_resolution :premises (@p169 @p167) :args ((not @t116) @t91 (@list @t113))) % 2.53/2.77 (step @p171 :rule bool-double-not-elim :args (@t114)) % 2.53/2.77 (step @p172 :rule refl :args (@t116)) % 2.53/2.77 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or @t116 (not @t115)))) % 2.53/2.78 (step @p174 :rule cnf_or_neg :args (@t116 0)) % 2.53/2.78 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 2.53/2.78 (step @p176 :rule reordering :premises (@p175) :args ((or @t114 @t116))) % 2.53/2.78 (step @p177 :rule chain_m_resolution :premises (@p176 @p170) :args (@t114 @t77 (@list @t116))) % 2.53/2.78 (assume-push @p226 @t114) % 2.53/2.78 (step @p179 :rule instantiate :premises (@p226) :args ((@list @t83))) % 2.53/2.78 (step-pop @p227 :rule scope :premises (@p179)) % 2.53/2.78 (step @p180 :rule process_scope :premises (@p227) :args (@t121)) % 2.53/2.78 (step @p182 :rule implies_elim :premises (@p180)) % 2.53/2.78 (step @p183 :rule chain_m_resolution :premises (@p182 @p177) :args (@t121 @t91 (@list @t114))) % 2.53/2.78 (step @p184 :rule instantiate :premises (@p147) :args ((@list tptp.xq @t70))) % 2.53/2.78 (step @p185 :rule cnf_or_pos :args (@t122)) % 2.53/2.78 (step @p186 :rule reordering :premises (@p185) :args ((or @t85 @t75 @t119 (not @t122)))) % 2.53/2.78 (step @p187 :rule chain_m_resolution :premises (@p186 @p114 @p113 @p184) :args (@t119 @t102 (@list @t31 @t74 @t122))) % 2.53/2.78 (step @p188 :rule cnf_or_pos :args (@t121)) % 2.53/2.78 (step @p189 :rule reordering :premises (@p188) :args ((or @t120 @t118 (not @t121)))) % 2.53/2.78 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p183) :args (@t118 @t110 (@list @t119 @t121))) % 2.53/2.78 (step @p191 :rule bool-double-not-elim :args (@t117)) % 2.53/2.78 (step @p192 :rule refl :args (@t123)) % 2.53/2.78 (step @p193 :rule refl :args (@t73)) % 2.53/2.78 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191) :args ((or @t73 @t123 (not @t118)))) % 2.53/2.78 (assume-push @p228 @t118) % 2.53/2.78 (assume-push @p229 @t89) % 2.53/2.78 (assume-push @p230 @t72) % 2.53/2.78 (step @p198 :rule evaluate :args ((= true false))) % 2.53/2.78 (step @p199 :rule false_intro :premises (@p228)) % 2.53/2.78 (step @p200 :rule trans :premises (@p78 @p118)) % 2.53/2.78 (step @p201 :rule true_intro :premises (@p200)) % 2.53/2.78 (step @p202 :rule symm :premises (@p201)) % 2.53/2.78 (step @p203 :rule trans :premises (@p202 @p199)) % 2.53/2.78 (step @p204 false :rule eq_resolve :premises (@p203 @p198)) % 2.53/2.78 (step-pop @p231 :rule scope :premises (@p204)) % 2.53/2.78 (step-pop @p232 :rule scope :premises (@p231)) % 2.53/2.78 (step-pop @p233 :rule scope :premises (@p232)) % 2.53/2.78 (step @p205 :rule process_scope :premises (@p233) :args (false)) % 2.53/2.78 (assume-push @p234 @t72) % 2.53/2.78 (assume-push @p235 @t89) % 2.53/2.78 (assume-push @p236 @t118) % 2.53/2.78 (step @p212 :rule and_intro :premises (@p236 @p118 @p78)) % 2.53/2.78 (step-pop @p237 :rule scope :premises (@p212)) % 2.53/2.78 (step-pop @p238 :rule scope :premises (@p237)) % 2.53/2.78 (step-pop @p239 :rule scope :premises (@p238)) % 2.53/2.78 (step @p213 :rule process_scope :premises (@p239) :args (@t124)) % 2.53/2.78 (step @p217 :rule implies_elim :premises (@p213)) % 2.53/2.78 (step @p218 :rule resolution :premises (@p217 @p205) :args (true @t124)) % 2.53/2.78 (step @p219 :rule not_and :premises (@p218)) % 2.53/2.78 (step @p220 :rule eq_resolve :premises (@p219 @p194)) % 2.53/2.78 (step @p221 false :rule chain_m_resolution :premises (@p220 @p190 @p118 @p78) :args (false (@list true false false) (@list @t117 @t89 @t72))) % 2.53/2.78 ) % 2.53/2.78 % SZS output end Proof % 2.53/2.78 % cvc5 exiting %------------------------------------------------------------------------------