%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM431+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 : n025.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 28.88s 29.07s % Output : Proof 28.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : NUM431+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n025.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 11:18:31 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 28.88/29.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.88/29.07 --- Run --no-e-matching --full-saturate-quant at 6... % 28.88/29.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.88/29.07 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.88/29.07 % SZS status Theorem % 28.88/29.07 % SZS output start Proof % 28.88/29.07 ( % 28.88/29.07 (declare-sort $$unsorted 0) % 28.88/29.07 (declare-const tptp.xm $$unsorted) % 28.88/29.07 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 28.88/29.07 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 28.88/29.07 (declare-const tptp.sz00 $$unsorted) % 28.88/29.07 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.88/29.07 (declare-const tptp.sz10 $$unsorted) % 28.88/29.07 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.88/29.07 (declare-const tptp.xb $$unsorted) % 28.88/29.07 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 28.88/29.07 (declare-const tptp.xn $$unsorted) % 28.88/29.07 (declare-const tptp.xc $$unsorted) % 28.88/29.07 (declare-const tptp.xq $$unsorted) % 28.88/29.07 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.88/29.07 (declare-const tptp.xa $$unsorted) % 28.88/29.07 (define @t1 () (@var "W0" $$unsorted)) % 28.88/29.07 (define @t2 () (tptp.aInteger0 @t1)) % 28.88/29.07 (define @t3 () (@list @t1)) % 28.88/29.07 (define @t4 () (tptp.aInteger0 tptp.sz00)) % 28.88/29.07 (define @t5 () (tptp.smndt0 @t1)) % 28.88/29.07 (define @t6 () (tptp.aInteger0 @t5)) % 28.88/29.07 (define @t7 () (forall @t3 (=> @t2 @t6))) % 28.88/29.07 (define @t8 () (@var "W1" $$unsorted)) % 28.88/29.07 (define @t9 () (tptp.sdtpldt0 @t1 @t8)) % 28.88/29.07 (define @t10 () (tptp.aInteger0 @t9)) % 28.88/29.07 (define @t11 () (tptp.aInteger0 @t8)) % 28.88/29.07 (define @t12 () (and @t2 @t11)) % 28.88/29.07 (define @t13 () (@list @t1 @t8)) % 28.88/29.07 (define @t14 () (forall @t13 (=> @t12 @t10))) % 28.88/29.07 (define @t15 () (tptp.sdtasdt0 @t1 @t8)) % 28.88/29.07 (define @t16 () (@var "W2" $$unsorted)) % 28.88/29.07 (define @t17 () (tptp.sdtpldt0 @t8 @t16)) % 28.88/29.07 (define @t18 () (= (tptp.sdtpldt0 @t1 @t17) (tptp.sdtpldt0 @t9 @t16))) % 28.88/29.07 (define @t19 () (tptp.aInteger0 @t16)) % 28.88/29.07 (define @t20 () (and @t2 @t11 @t19)) % 28.88/29.07 (define @t21 () (@list @t1 @t8 @t16)) % 28.88/29.07 (define @t22 () (forall @t21 (=> @t20 @t18))) % 28.88/29.07 (define @t23 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 28.88/29.07 (define @t24 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 28.88/29.07 (define @t25 () (and (= @t24 @t1) @t23)) % 28.88/29.07 (define @t26 () (=> @t2 @t25)) % 28.88/29.07 (define @t27 () (forall @t3 @t26)) % 28.88/29.07 (define @t28 () (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1))) % 28.88/29.07 (define @t29 () (tptp.sdtpldt0 @t1 @t5)) % 28.88/29.07 (define @t30 () (and (= @t29 tptp.sz00) @t28)) % 28.88/29.07 (define @t31 () (=> @t2 @t30)) % 28.88/29.07 (define @t32 () (forall @t3 @t31)) % 28.88/29.07 (define @t33 () (tptp.sdtasdt0 @t8 @t16)) % 28.88/29.07 (define @t34 () (tptp.sdtasdt0 @t1 @t16)) % 28.88/29.07 (define @t35 () (and (= (tptp.sdtasdt0 @t1 @t17) (tptp.sdtpldt0 @t15 @t34)) (= (tptp.sdtasdt0 @t9 @t16) (tptp.sdtpldt0 @t34 @t33)))) % 28.88/29.07 (define @t36 () (forall @t21 (=> @t20 @t35))) % 28.88/29.07 (define @t37 () (tptp.smndt0 tptp.sz10)) % 28.88/29.07 (define @t38 () (= @t8 tptp.sz00)) % 28.88/29.07 (define @t39 () (not @t38)) % 28.88/29.07 (define @t40 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 @t16)) % 28.88/29.07 (define @t41 () (and @t2 @t11 @t19 (not (= @t16 tptp.sz00)))) % 28.88/29.07 (define @t42 () (tptp.aInteger0 tptp.xc)) % 28.88/29.07 (define @t43 () (tptp.aInteger0 tptp.xq)) % 28.88/29.07 (define @t44 () (tptp.aInteger0 tptp.xb)) % 28.88/29.07 (define @t45 () (tptp.aInteger0 tptp.xa)) % 28.88/29.07 (define @t46 () (tptp.smndt0 tptp.xb)) % 28.88/29.07 (define @t47 () (tptp.sdtpldt0 tptp.xa @t46)) % 28.88/29.07 (define @t48 () (tptp.sdtasdt0 tptp.xq tptp.xn)) % 28.88/29.07 (define @t49 () (= @t48 @t47)) % 28.88/29.07 (define @t50 () (tptp.aInteger0 tptp.xn)) % 28.88/29.07 (define @t51 () (tptp.smndt0 tptp.xc)) % 28.88/29.07 (define @t52 () (tptp.sdtpldt0 tptp.xb @t51)) % 28.88/29.07 (define @t53 () (tptp.sdtasdt0 tptp.xq tptp.xm)) % 28.88/29.07 (define @t54 () (= @t53 @t52)) % 28.88/29.07 (define @t55 () (tptp.aInteger0 tptp.xm)) % 28.88/29.07 (define @t56 () (tptp.sdtasdt0 tptp.xq (tptp.sdtpldt0 tptp.xn tptp.xm))) % 28.88/29.07 (define @t57 () (= @t56 (tptp.sdtpldt0 tptp.xa @t51))) % 28.88/29.07 (define @t58 () (not @t57)) % 28.88/29.07 (define @t59 () (and (= tptp.sz00 @t29) @t28)) % 28.88/29.07 (define @t60 () (@list tptp.xb)) % 28.88/29.07 (define @t61 () (tptp.sdtpldt0 @t46 tptp.xb)) % 28.88/29.07 (define @t62 () (= tptp.sz00 @t61)) % 28.88/29.07 (define @t63 () (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xb @t46)) @t62)) % 28.88/29.07 (define @t64 () (not @t44)) % 28.88/29.07 (define @t65 () (or @t64 @t63)) % 28.88/29.07 (define @t66 () (@list false false)) % 28.88/29.07 (define @t67 () (@list false)) % 28.88/29.07 (define @t68 () (not @t19)) % 28.88/29.07 (define @t69 () (not @t11)) % 28.88/29.07 (define @t70 () (not @t2)) % 28.88/29.07 (define @t71 () (or @t70 @t69 @t68)) % 28.88/29.07 (define @t72 () (not @t20)) % 28.88/29.07 (define @t73 () (= @t56 (tptp.sdtpldt0 @t48 @t53))) % 28.88/29.07 (define @t74 () (and @t73 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xq tptp.xn) tptp.xm) (tptp.sdtpldt0 @t53 (tptp.sdtasdt0 tptp.xn tptp.xm))))) % 28.88/29.07 (define @t75 () (not @t55)) % 28.88/29.07 (define @t76 () (not @t50)) % 28.88/29.07 (define @t77 () (not @t43)) % 28.88/29.07 (define @t78 () (or @t77 @t76 @t75 @t74)) % 28.88/29.07 (define @t79 () (@list false false false false)) % 28.88/29.07 (define @t80 () (tptp.aInteger0 @t46)) % 28.88/29.07 (define @t81 () (or @t64 @t80)) % 28.88/29.07 (define @t82 () (tptp.aInteger0 @t51)) % 28.88/29.07 (define @t83 () (not @t42)) % 28.88/29.07 (define @t84 () (or @t83 @t82)) % 28.88/29.07 (define @t85 () (tptp.sdtpldt0 @t61 @t51)) % 28.88/29.07 (define @t86 () (tptp.sdtpldt0 @t46 @t52)) % 28.88/29.07 (define @t87 () (= @t86 @t85)) % 28.88/29.07 (define @t88 () (not @t82)) % 28.88/29.07 (define @t89 () (not @t80)) % 28.88/29.07 (define @t90 () (or @t89 @t64 @t88 @t87)) % 28.88/29.07 (define @t91 () (tptp.sdtpldt0 tptp.xa tptp.sz00)) % 28.88/29.07 (define @t92 () (tptp.sdtpldt0 @t91 @t51)) % 28.88/29.07 (define @t93 () (= (tptp.sdtpldt0 tptp.xa (tptp.sdtpldt0 tptp.sz00 @t51)) @t92)) % 28.88/29.07 (define @t94 () (not @t4)) % 28.88/29.07 (define @t95 () (not @t45)) % 28.88/29.07 (define @t96 () (or @t95 @t94 @t88 @t93)) % 28.88/29.07 (define @t97 () (and (= @t1 @t24) @t23)) % 28.88/29.07 (define @t98 () (= tptp.xa @t91)) % 28.88/29.07 (define @t99 () (and @t98 (= tptp.xa (tptp.sdtpldt0 tptp.sz00 tptp.xa)))) % 28.88/29.07 (define @t100 () (or @t95 @t99)) % 28.88/29.07 (define @t101 () (tptp.aInteger0 @t52)) % 28.88/29.07 (define @t102 () (or @t64 @t88 @t101)) % 28.88/29.07 (define @t103 () (tptp.sdtpldt0 @t47 @t52)) % 28.88/29.07 (define @t104 () (tptp.sdtpldt0 tptp.xa @t86)) % 28.88/29.07 (define @t105 () (= @t104 @t103)) % 28.88/29.07 (define @t106 () (not @t101)) % 28.88/29.07 (define @t107 () (or @t95 @t89 @t106 @t105)) % 28.88/29.07 (define @t108 () (not @t105)) % 28.88/29.07 (define @t109 () (not @t98)) % 28.88/29.07 (define @t110 () (not @t93)) % 28.88/29.07 (define @t111 () (not @t87)) % 28.88/29.07 (define @t112 () (not @t73)) % 28.88/29.07 (define @t113 () (not @t62)) % 28.88/29.07 (define @t114 () (not @t54)) % 28.88/29.07 (define @t115 () (not @t49)) % 28.88/29.07 (define @t116 () (= @t103 @t104)) % 28.88/29.07 (define @t117 () (not @t116)) % 28.88/29.07 (define @t118 () (and @t105 @t108)) % 28.88/29.07 (assume @p1 (forall @t3 (=> @t2 true))) % 28.88/29.07 (assume @p2 @t4) % 28.88/29.07 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 28.88/29.07 (assume @p4 @t7) % 28.88/29.07 (assume @p5 @t14) % 28.88/29.07 (assume @p6 (forall @t13 (=> @t12 (tptp.aInteger0 @t15)))) % 28.88/29.07 (assume @p7 @t22) % 28.88/29.07 (assume @p8 (forall @t13 (=> @t12 (= @t9 (tptp.sdtpldt0 @t8 @t1))))) % 28.88/29.07 (assume @p9 @t27) % 28.88/29.07 (assume @p10 @t32) % 28.88/29.07 (assume @p11 (forall @t21 (=> @t20 (= (tptp.sdtasdt0 @t1 @t33) (tptp.sdtasdt0 @t15 @t16))))) % 28.88/29.07 (assume @p12 (forall @t13 (=> @t12 (= @t15 (tptp.sdtasdt0 @t8 @t1))))) % 28.88/29.07 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 28.88/29.07 (assume @p14 @t36) % 28.88/29.07 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 28.88/29.07 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t37 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t37)))))) % 28.88/29.07 (assume @p17 (forall @t13 (=> @t12 (=> (= @t15 tptp.sz00) (or (= @t1 tptp.sz00) @t38))))) % 28.88/29.07 (assume @p18 (forall @t3 (=> @t2 (forall (@list @t8) (= (tptp.aDivisorOf0 @t8 @t1) (and @t11 @t39 (exists (@list @t16) (and @t19 (= @t33 @t1))))))))) % 28.88/29.07 (assume @p19 (forall @t21 (=> @t41 (= @t40 (tptp.aDivisorOf0 @t16 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t8))))))) % 28.88/29.07 (assume @p20 (forall @t13 (=> (and @t2 @t11 @t39) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t8)))) % 28.88/29.07 (assume @p21 (forall @t21 (=> @t41 (=> @t40 (tptp.sdteqdtlpzmzozddtrp0 @t8 @t1 @t16))))) % 28.88/29.07 (assume @p22 (and @t45 @t44 @t43 (not (= tptp.xq tptp.sz00)) @t42)) % 28.88/29.07 (assume @p23 (and (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq) (tptp.sdteqdtlpzmzozddtrp0 tptp.xb tptp.xc tptp.xq))) % 28.88/29.07 (assume @p24 (and @t50 @t49)) % 28.88/29.07 (assume @p25 (and @t55 @t54)) % 28.88/29.07 (assume @p26 @t58) % 28.88/29.07 (assume @p27 true) % 28.88/29.07 (step @p28 :rule and_elim :premises (@p24) :args (1)) % 28.88/29.07 (step @p29 :rule and_elim :premises (@p25) :args (1)) % 28.88/29.07 (step @p30 :rule bool-impl-elim :args (@t2 @t59)) % 28.88/29.07 (step @p31 :rule cong :premises (@p30) :args ((forall @t3 (=> @t2 @t59)))) % 28.88/29.07 (step @p32 :rule refl :args (@t28)) % 28.88/29.07 (step @p33 :rule eq-symm :args (@t29 tptp.sz00)) % 28.88/29.07 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t30)) % 28.88/29.07 (step @p35 :rule refl :args (@t2)) % 28.88/29.07 (step @p36 :rule cong :premises (@p35 @p34) :args (@t31)) % 28.88/29.07 (step @p37 :rule cong :premises (@p36) :args (@t32)) % 28.88/29.07 (step @p38 :rule trans :premises (@p37 @p31)) % 28.88/29.07 (step @p39 :rule eq_resolve :premises (@p10 @p38)) % 28.88/29.07 (step @p40 :rule instantiate :premises (@p39) :args (@t60)) % 28.88/29.07 (step @p41 :rule and_elim :premises (@p22) :args (1)) % 28.88/29.07 (step @p42 :rule cnf_or_pos :args (@t65)) % 28.88/29.07 (step @p43 :rule reordering :premises (@p42) :args ((or @t64 @t63 (not @t65)))) % 28.88/29.07 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p40) :args (@t63 @t66 (@list @t44 @t65))) % 28.88/29.07 (step @p45 :rule cnf_and_pos :args (@t63 1)) % 28.88/29.07 (step @p46 :rule reordering :premises (@p45) :args ((or @t62 (not @t63)))) % 28.88/29.07 (step @p47 :rule chain_m_resolution :premises (@p46 @p44) :args (@t62 @t67 (@list @t63))) % 28.88/29.07 (step @p48 :rule aci_norm :args ((= (or @t71 @t35) (or @t70 @t69 @t68 @t35)))) % 28.88/29.07 (step @p49 :rule refl :args (@t35)) % 28.88/29.07 (step @p50 :rule aci_norm :args ((= (or @t70 (or @t69 @t68)) @t71))) % 28.88/29.07 (step @p51 :rule bool-and-de-morgan :args (@t11 @t19 true)) % 28.88/29.07 (step @p52 :rule refl :args (@t70)) % 28.88/29.07 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t70 (not (and @t11 @t19))))) % 28.88/29.07 (step @p54 :rule bool-and-de-morgan :args (@t2 @t11 (and @t19))) % 28.88/29.07 (step @p55 :rule trans :premises (@p54 @p53)) % 28.88/29.07 (step @p56 :rule trans :premises (@p55 @p50)) % 28.88/29.07 (step @p57 :rule nary_cong :premises (@p56 @p49) :args ((or @t72 @t35))) % 28.88/29.07 (step @p58 :rule trans :premises (@p57 @p48)) % 28.88/29.07 (step @p59 :rule bool-impl-elim :args (@t20 @t35)) % 28.88/29.07 (step @p60 :rule trans :premises (@p59 @p58)) % 28.88/29.07 (step @p61 :rule cong :premises (@p60) :args (@t36)) % 28.88/29.07 (step @p62 :rule eq_resolve :premises (@p14 @p61)) % 28.88/29.07 (step @p63 :rule instantiate :premises (@p62) :args ((@list tptp.xq tptp.xn tptp.xm))) % 28.88/29.07 (step @p64 :rule and_elim :premises (@p25) :args (0)) % 28.88/29.07 (step @p65 :rule and_elim :premises (@p24) :args (0)) % 28.88/29.07 (step @p66 :rule and_elim :premises (@p22) :args (2)) % 28.88/29.07 (step @p67 :rule cnf_or_pos :args (@t78)) % 28.88/29.07 (step @p68 :rule reordering :premises (@p67) :args ((or @t77 @t76 @t75 @t74 (not @t78)))) % 28.88/29.07 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p65 @p64 @p63) :args (@t74 @t79 (@list @t43 @t50 @t55 @t78))) % 28.88/29.07 (step @p70 :rule cnf_and_pos :args (@t74 0)) % 28.88/29.07 (step @p71 :rule reordering :premises (@p70) :args ((or @t73 (not @t74)))) % 28.88/29.07 (step @p72 :rule chain_m_resolution :premises (@p71 @p69) :args (@t73 @t67 (@list @t74))) % 28.88/29.07 (step @p73 :rule aci_norm :args ((= (or @t71 @t18) (or @t70 @t69 @t68 @t18)))) % 28.88/29.07 (step @p74 :rule refl :args (@t18)) % 28.88/29.07 (step @p75 :rule nary_cong :premises (@p56 @p74) :args ((or @t72 @t18))) % 28.88/29.07 (step @p76 :rule trans :premises (@p75 @p73)) % 28.88/29.07 (step @p77 :rule bool-impl-elim :args (@t20 @t18)) % 28.88/29.07 (step @p78 :rule trans :premises (@p77 @p76)) % 28.88/29.07 (step @p79 :rule cong :premises (@p78) :args (@t22)) % 28.88/29.07 (step @p80 :rule eq_resolve :premises (@p7 @p79)) % 28.88/29.07 (step @p81 :rule instantiate :premises (@p80) :args ((@list @t46 tptp.xb @t51))) % 28.88/29.07 (step @p82 :rule bool-impl-elim :args (@t2 @t6)) % 28.88/29.07 (step @p83 :rule cong :premises (@p82) :args (@t7)) % 28.88/29.07 (step @p84 :rule eq_resolve :premises (@p4 @p83)) % 28.88/29.07 (step @p85 :rule instantiate :premises (@p84) :args (@t60)) % 28.88/29.07 (step @p86 :rule cnf_or_pos :args (@t81)) % 28.88/29.07 (step @p87 :rule reordering :premises (@p86) :args ((or @t64 @t80 (not @t81)))) % 28.88/29.07 (step @p88 :rule chain_m_resolution :premises (@p87 @p41 @p85) :args (@t80 @t66 (@list @t44 @t81))) % 28.88/29.07 (step @p89 :rule instantiate :premises (@p84) :args ((@list tptp.xc))) % 28.88/29.07 (step @p90 :rule and_elim :premises (@p22) :args (4)) % 28.88/29.07 (step @p91 :rule cnf_or_pos :args (@t84)) % 28.88/29.07 (step @p92 :rule reordering :premises (@p91) :args ((or @t83 @t82 (not @t84)))) % 28.88/29.07 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p89) :args (@t82 @t66 (@list @t42 @t84))) % 28.88/29.07 (step @p94 :rule cnf_or_pos :args (@t90)) % 28.88/29.07 (step @p95 :rule reordering :premises (@p94) :args ((or @t64 @t88 @t89 @t87 (not @t90)))) % 28.88/29.07 (step @p96 :rule chain_m_resolution :premises (@p95 @p41 @p93 @p88 @p81) :args (@t87 @t79 (@list @t44 @t82 @t80 @t90))) % 28.88/29.07 (step @p97 :rule instantiate :premises (@p80) :args ((@list tptp.xa tptp.sz00 @t51))) % 28.88/29.07 (step @p98 :rule and_elim :premises (@p22) :args (0)) % 28.88/29.07 (step @p99 :rule cnf_or_pos :args (@t96)) % 28.88/29.07 (step @p100 :rule reordering :premises (@p99) :args ((or @t94 @t95 @t88 @t93 (not @t96)))) % 28.88/29.07 (step @p101 :rule chain_m_resolution :premises (@p100 @p2 @p98 @p93 @p97) :args (@t93 @t79 (@list @t4 @t45 @t82 @t96))) % 28.88/29.07 (step @p102 :rule bool-impl-elim :args (@t2 @t97)) % 28.88/29.07 (step @p103 :rule cong :premises (@p102) :args ((forall @t3 (=> @t2 @t97)))) % 28.88/29.07 (step @p104 :rule refl :args (@t23)) % 28.88/29.07 (step @p105 :rule eq-symm :args (@t24 @t1)) % 28.88/29.07 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t25)) % 28.88/29.07 (step @p107 :rule cong :premises (@p35 @p106) :args (@t26)) % 28.88/29.07 (step @p108 :rule cong :premises (@p107) :args (@t27)) % 28.88/29.07 (step @p109 :rule trans :premises (@p108 @p103)) % 28.88/29.07 (step @p110 :rule eq_resolve :premises (@p9 @p109)) % 28.88/29.07 (step @p111 :rule instantiate :premises (@p110) :args ((@list tptp.xa))) % 28.88/29.07 (step @p112 :rule cnf_or_pos :args (@t100)) % 28.88/29.07 (step @p113 :rule reordering :premises (@p112) :args ((or @t95 @t99 (not @t100)))) % 28.88/29.07 (step @p114 :rule chain_m_resolution :premises (@p113 @p98 @p111) :args (@t99 @t66 (@list @t45 @t100))) % 28.88/29.07 (step @p115 :rule cnf_and_pos :args (@t99 0)) % 28.88/29.07 (step @p116 :rule reordering :premises (@p115) :args ((or @t98 (not @t99)))) % 28.88/29.07 (step @p117 :rule chain_m_resolution :premises (@p116 @p114) :args (@t98 @t67 (@list @t99))) % 28.88/29.07 (step @p118 :rule instantiate :premises (@p80) :args ((@list tptp.xa @t46 @t52))) % 28.88/29.07 (step @p119 :rule aci_norm :args ((= (or (or @t70 @t69) @t10) (or @t70 @t69 @t10)))) % 28.88/29.07 (step @p120 :rule refl :args (@t10)) % 28.88/29.07 (step @p121 :rule bool-and-de-morgan :args (@t2 @t11 true)) % 28.88/29.07 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t12) @t10))) % 28.88/29.07 (step @p123 :rule trans :premises (@p122 @p119)) % 28.88/29.07 (step @p124 :rule bool-impl-elim :args (@t12 @t10)) % 28.88/29.07 (step @p125 :rule trans :premises (@p124 @p123)) % 28.88/29.07 (step @p126 :rule cong :premises (@p125) :args (@t14)) % 28.88/29.07 (step @p127 :rule eq_resolve :premises (@p5 @p126)) % 28.88/29.07 (step @p128 :rule instantiate :premises (@p127) :args ((@list tptp.xb @t51))) % 28.88/29.07 (step @p129 :rule cnf_or_pos :args (@t102)) % 28.88/29.07 (step @p130 :rule reordering :premises (@p129) :args ((or @t64 @t88 @t101 (not @t102)))) % 28.88/29.07 (step @p131 :rule chain_m_resolution :premises (@p130 @p41 @p93 @p128) :args (@t101 (@list false false false) (@list @t44 @t82 @t102))) % 28.88/29.07 (step @p132 :rule cnf_or_pos :args (@t107)) % 28.88/29.07 (step @p133 :rule reordering :premises (@p132) :args ((or @t95 @t89 @t106 @t105 (not @t107)))) % 28.88/29.07 (step @p134 :rule chain_m_resolution :premises (@p133 @p98 @p88 @p131 @p118) :args (@t105 @t79 (@list @t45 @t80 @t101 @t107))) % 28.88/29.07 (step @p135 :rule refl :args (@t108)) % 28.88/29.07 (step @p136 :rule refl :args (@t109)) % 28.88/29.07 (step @p137 :rule refl :args (@t110)) % 28.88/29.07 (step @p138 :rule refl :args (@t111)) % 28.88/29.07 (step @p139 :rule refl :args (@t112)) % 28.88/29.07 (step @p140 :rule refl :args (@t113)) % 28.88/29.07 (step @p141 :rule bool-double-not-elim :args (@t57)) % 28.88/29.07 (step @p142 :rule refl :args (@t114)) % 28.88/29.07 (step @p143 :rule refl :args (@t115)) % 28.88/29.07 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135) :args ((or @t115 @t114 (not @t58) @t113 @t112 @t111 @t110 @t109 @t108))) % 28.88/29.07 (assume-push @p208 @t105) % 28.88/29.07 (assume-push @p209 @t108) % 28.88/29.07 (step @p147 :rule evaluate :args ((= false true))) % 28.88/29.07 (step @p148 :rule true_intro :premises (@p134)) % 28.88/29.07 (step @p149 :rule bool-eq-false :args (@t105)) % 28.88/29.07 (step @p150 :rule symm :premises (@p149)) % 28.88/29.07 (step @p151 :rule eq-symm :args (@t103 @t104)) % 28.88/29.07 (step @p152 :rule cong :premises (@p151) :args (@t117)) % 28.88/29.07 (step @p153 :rule bool-eq-false :args (@t116)) % 28.88/29.07 (step @p154 :rule trans :premises (@p153 @p152)) % 28.88/29.07 (step @p155 :rule trans :premises (@p154 @p150)) % 28.88/29.07 (step @p156 :rule false_intro :premises (@p26)) % 28.88/29.07 (step @p157 :rule refl :args (@t51)) % 28.88/29.07 (step @p158 :rule symm :premises (@p117)) % 28.88/29.07 (step @p159 :rule cong :premises (@p158 @p157) :args (@t92)) % 28.88/29.07 (step @p160 :rule symm :premises (@p47)) % 28.88/29.07 (step @p161 :rule cong :premises (@p160 @p157) :args (@t85)) % 28.88/29.07 (step @p162 :rule trans :premises (@p96 @p161)) % 28.88/29.07 (step @p163 :rule refl :args (tptp.xa)) % 28.88/29.07 (step @p164 :rule cong :premises (@p163 @p162) :args (@t104)) % 28.88/29.07 (step @p165 :rule trans :premises (@p164 @p101 @p159)) % 28.88/29.07 (step @p166 :rule symm :premises (@p72)) % 28.88/29.07 (step @p167 :rule symm :premises (@p29)) % 28.88/29.07 (step @p168 :rule symm :premises (@p28)) % 28.88/29.07 (step @p169 :rule cong :premises (@p168 @p167) :args (@t103)) % 28.88/29.07 (step @p170 :rule trans :premises (@p169 @p166)) % 28.88/29.07 (step @p171 :rule cong :premises (@p170 @p165) :args (@t116)) % 28.88/29.07 (step @p172 :rule trans :premises (@p171 @p156)) % 28.88/29.07 (step @p173 :rule eq_resolve :premises (@p172 @p155)) % 28.88/29.07 (step @p174 :rule symm :premises (@p173)) % 28.88/29.08 (step @p175 :rule trans :premises (@p174 @p148)) % 28.88/29.08 (step @p176 false :rule eq_resolve :premises (@p175 @p147)) % 28.88/29.08 (step-pop @p210 :rule scope :premises (@p176)) % 28.88/29.08 (step-pop @p211 :rule scope :premises (@p210)) % 28.88/29.08 (step @p177 :rule process_scope :premises (@p211) :args (false)) % 28.88/29.08 (assume-push @p212 @t49) % 28.88/29.08 (assume-push @p213 @t54) % 28.88/29.08 (assume-push @p214 @t58) % 28.88/29.08 (assume-push @p215 @t62) % 28.88/29.08 (assume-push @p216 @t73) % 28.88/29.08 (assume-push @p217 @t87) % 28.88/29.08 (assume-push @p218 @t93) % 28.88/29.08 (assume-push @p219 @t98) % 28.88/29.08 (assume-push @p220 @t105) % 28.88/29.08 (step @p149 :rule bool-eq-false :args (@t105)) % 28.88/29.08 (step @p150 :rule symm :premises (@p149)) % 28.88/29.08 (step @p151 :rule eq-symm :args (@t103 @t104)) % 28.88/29.08 (step @p152 :rule cong :premises (@p151) :args (@t117)) % 28.88/29.08 (step @p153 :rule bool-eq-false :args (@t116)) % 28.88/29.08 (step @p154 :rule trans :premises (@p153 @p152)) % 28.88/29.08 (step @p155 :rule trans :premises (@p154 @p150)) % 28.88/29.08 (step @p156 :rule false_intro :premises (@p26)) % 28.88/29.08 (step @p157 :rule refl :args (@t51)) % 28.88/29.08 (step @p158 :rule symm :premises (@p117)) % 28.88/29.08 (step @p159 :rule cong :premises (@p158 @p157) :args (@t92)) % 28.88/29.08 (step @p160 :rule symm :premises (@p47)) % 28.88/29.08 (step @p161 :rule cong :premises (@p160 @p157) :args (@t85)) % 28.88/29.08 (step @p162 :rule trans :premises (@p96 @p161)) % 28.88/29.08 (step @p163 :rule refl :args (tptp.xa)) % 28.88/29.08 (step @p164 :rule cong :premises (@p163 @p162) :args (@t104)) % 28.88/29.08 (step @p165 :rule trans :premises (@p164 @p101 @p159)) % 28.88/29.08 (step @p166 :rule symm :premises (@p72)) % 28.88/29.08 (step @p167 :rule symm :premises (@p29)) % 28.88/29.08 (step @p168 :rule symm :premises (@p28)) % 28.88/29.08 (step @p169 :rule cong :premises (@p168 @p167) :args (@t103)) % 28.88/29.08 (step @p170 :rule trans :premises (@p169 @p166)) % 28.88/29.08 (step @p171 :rule cong :premises (@p170 @p165) :args (@t116)) % 28.88/29.08 (step @p172 :rule trans :premises (@p171 @p156)) % 28.88/29.08 (step @p189 :rule eq_resolve :premises (@p172 @p155)) % 28.88/29.08 (step @p190 :rule false_elim :premises (@p189)) % 28.88/29.08 (step @p191 :rule and_intro :premises (@p134 @p190)) % 28.88/29.08 (step-pop @p221 :rule scope :premises (@p191)) % 28.88/29.08 (step-pop @p222 :rule scope :premises (@p221)) % 28.88/29.08 (step-pop @p223 :rule scope :premises (@p222)) % 28.88/29.08 (step-pop @p224 :rule scope :premises (@p223)) % 28.88/29.08 (step-pop @p225 :rule scope :premises (@p224)) % 28.88/29.08 (step-pop @p226 :rule scope :premises (@p225)) % 28.88/29.08 (step-pop @p227 :rule scope :premises (@p226)) % 28.88/29.08 (step-pop @p228 :rule scope :premises (@p227)) % 28.88/29.08 (step-pop @p229 :rule scope :premises (@p228)) % 28.88/29.08 (step @p192 :rule process_scope :premises (@p229) :args (@t118)) % 28.88/29.08 (step @p202 :rule implies_elim :premises (@p192)) % 28.88/29.08 (step @p203 :rule resolution :premises (@p202 @p177) :args (true @t118)) % 28.88/29.08 (step @p204 :rule not_and :premises (@p203)) % 28.88/29.08 (step @p205 :rule eq_resolve :premises (@p204 @p144)) % 28.88/29.08 (step @p206 :rule reordering :premises (@p205) :args ((or @t57 @t115 @t114 @t113 @t112 @t111 @t110 @t109 @t108))) % 28.88/29.08 (step @p207 false :rule chain_m_resolution :premises (@p206 @p134 @p117 @p101 @p96 @p72 @p47 @p26 @p29 @p28) :args (false (@list false false false false false false true false false) (@list @t105 @t98 @t93 @t87 @t73 @t62 @t57 @t54 @t49))) % 28.88/29.08 ) % 28.88/29.08 % SZS output end Proof % 28.88/29.08 % cvc5 exiting %------------------------------------------------------------------------------