%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM426+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 : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:39:22 AM UTC 2026 % Result : Theorem 28.27s 28.85s % Output : Proof 28.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM426+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 % 0.15/0.34 % Computer : n007.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:17:11 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 28.27/28.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.27/28.85 --- Run --no-e-matching --full-saturate-quant at 6... % 28.27/28.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.27/28.85 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.27/28.85 % SZS status Theorem % 28.27/28.85 % SZS output start Proof % 28.27/28.85 ( % 28.27/28.85 (declare-sort $$unsorted 0) % 28.27/28.85 (declare-const tptp.xb $$unsorted) % 28.27/28.85 (declare-const tptp.xq $$unsorted) % 28.27/28.85 (declare-const tptp.xn $$unsorted) % 28.27/28.85 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.27/28.85 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 28.27/28.85 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 28.27/28.85 (declare-const tptp.xa $$unsorted) % 28.27/28.85 (declare-const tptp.sz10 $$unsorted) % 28.27/28.85 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.27/28.85 (declare-const tptp.sz00 $$unsorted) % 28.27/28.85 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 28.27/28.85 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 28.27/28.85 (define @t1 () (@var "W0" $$unsorted)) % 28.27/28.85 (define @t2 () (tptp.aInteger0 @t1)) % 28.27/28.85 (define @t3 () (@list @t1)) % 28.27/28.85 (define @t4 () (tptp.aInteger0 tptp.sz10)) % 28.27/28.85 (define @t5 () (tptp.smndt0 @t1)) % 28.27/28.85 (define @t6 () (tptp.aInteger0 @t5)) % 28.27/28.85 (define @t7 () (forall @t3 (=> @t2 @t6))) % 28.27/28.85 (define @t8 () (@var "W1" $$unsorted)) % 28.27/28.85 (define @t9 () (tptp.sdtpldt0 @t1 @t8)) % 28.27/28.85 (define @t10 () (tptp.aInteger0 @t8)) % 28.27/28.85 (define @t11 () (and @t2 @t10)) % 28.27/28.85 (define @t12 () (@list @t1 @t8)) % 28.27/28.85 (define @t13 () (tptp.sdtasdt0 @t1 @t8)) % 28.27/28.85 (define @t14 () (@var "W2" $$unsorted)) % 28.27/28.85 (define @t15 () (tptp.sdtpldt0 @t8 @t14)) % 28.27/28.85 (define @t16 () (= (tptp.sdtpldt0 @t1 @t15) (tptp.sdtpldt0 @t9 @t14))) % 28.27/28.85 (define @t17 () (tptp.aInteger0 @t14)) % 28.27/28.85 (define @t18 () (and @t2 @t10 @t17)) % 28.27/28.85 (define @t19 () (@list @t1 @t8 @t14)) % 28.27/28.85 (define @t20 () (forall @t19 (=> @t18 @t16))) % 28.27/28.85 (define @t21 () (= @t9 (tptp.sdtpldt0 @t8 @t1))) % 28.27/28.85 (define @t22 () (forall @t12 (=> @t11 @t21))) % 28.27/28.85 (define @t23 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 28.27/28.85 (define @t24 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 28.27/28.85 (define @t25 () (and (= @t24 @t1) @t23)) % 28.27/28.85 (define @t26 () (=> @t2 @t25)) % 28.27/28.85 (define @t27 () (forall @t3 @t26)) % 28.27/28.85 (define @t28 () (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1))) % 28.27/28.85 (define @t29 () (tptp.sdtpldt0 @t1 @t5)) % 28.27/28.85 (define @t30 () (and (= @t29 tptp.sz00) @t28)) % 28.27/28.85 (define @t31 () (=> @t2 @t30)) % 28.27/28.85 (define @t32 () (forall @t3 @t31)) % 28.27/28.85 (define @t33 () (tptp.sdtasdt0 @t8 @t14)) % 28.27/28.85 (define @t34 () (= (tptp.sdtasdt0 @t1 @t33) (tptp.sdtasdt0 @t13 @t14))) % 28.27/28.85 (define @t35 () (forall @t19 (=> @t18 @t34))) % 28.27/28.85 (define @t36 () (tptp.sdtasdt0 @t1 @t14)) % 28.27/28.85 (define @t37 () (and (= (tptp.sdtasdt0 @t1 @t15) (tptp.sdtpldt0 @t13 @t36)) (= (tptp.sdtasdt0 @t9 @t14) (tptp.sdtpldt0 @t36 @t33)))) % 28.27/28.85 (define @t38 () (forall @t19 (=> @t18 @t37))) % 28.27/28.85 (define @t39 () (tptp.smndt0 tptp.sz10)) % 28.27/28.85 (define @t40 () (= @t5 (tptp.sdtasdt0 @t1 @t39))) % 28.27/28.85 (define @t41 () (tptp.sdtasdt0 @t39 @t1)) % 28.27/28.85 (define @t42 () (and (= @t41 @t5) @t40)) % 28.27/28.85 (define @t43 () (=> @t2 @t42)) % 28.27/28.85 (define @t44 () (forall @t3 @t43)) % 28.27/28.85 (define @t45 () (= @t8 tptp.sz00)) % 28.27/28.85 (define @t46 () (not @t45)) % 28.27/28.85 (define @t47 () (tptp.aInteger0 tptp.xq)) % 28.27/28.85 (define @t48 () (tptp.aInteger0 tptp.xb)) % 28.27/28.85 (define @t49 () (tptp.aInteger0 tptp.xa)) % 28.27/28.85 (define @t50 () (tptp.smndt0 tptp.xb)) % 28.27/28.85 (define @t51 () (tptp.sdtpldt0 tptp.xa @t50)) % 28.27/28.85 (define @t52 () (tptp.sdtasdt0 tptp.xq tptp.xn)) % 28.27/28.85 (define @t53 () (tptp.aInteger0 tptp.xn)) % 28.27/28.85 (define @t54 () (tptp.smndt0 tptp.xa)) % 28.27/28.85 (define @t55 () (tptp.smndt0 tptp.xn)) % 28.27/28.85 (define @t56 () (tptp.sdtasdt0 tptp.xq @t55)) % 28.27/28.85 (define @t57 () (= @t56 (tptp.sdtpldt0 tptp.xb @t54))) % 28.27/28.85 (define @t58 () (and (= @t1 @t24) @t23)) % 28.27/28.85 (define @t59 () (@list tptp.xb)) % 28.27/28.85 (define @t60 () (= tptp.xb (tptp.sdtpldt0 tptp.sz00 tptp.xb))) % 28.27/28.85 (define @t61 () (and (= tptp.xb (tptp.sdtpldt0 tptp.xb tptp.sz00)) @t60)) % 28.27/28.85 (define @t62 () (not @t48)) % 28.27/28.85 (define @t63 () (or @t62 @t61)) % 28.27/28.85 (define @t64 () (@list false false)) % 28.27/28.85 (define @t65 () (@list false)) % 28.27/28.85 (define @t66 () (and (= @t5 @t41) @t40)) % 28.27/28.85 (define @t67 () (tptp.sdtasdt0 tptp.xn @t39)) % 28.27/28.85 (define @t68 () (= @t55 @t67)) % 28.27/28.85 (define @t69 () (and (= @t55 (tptp.sdtasdt0 @t39 tptp.xn)) @t68)) % 28.27/28.85 (define @t70 () (not @t53)) % 28.27/28.85 (define @t71 () (or @t70 @t69)) % 28.27/28.85 (define @t72 () (@list @t50)) % 28.27/28.85 (define @t73 () (tptp.aInteger0 @t50)) % 28.27/28.85 (define @t74 () (or @t62 @t73)) % 28.27/28.85 (define @t75 () (tptp.sdtasdt0 @t50 @t39)) % 28.27/28.85 (define @t76 () (tptp.smndt0 @t50)) % 28.27/28.85 (define @t77 () (= @t76 @t75)) % 28.27/28.85 (define @t78 () (and (= @t76 (tptp.sdtasdt0 @t39 @t50)) @t77)) % 28.27/28.85 (define @t79 () (not @t73)) % 28.27/28.85 (define @t80 () (or @t79 @t78)) % 28.27/28.85 (define @t81 () (and (= tptp.sz00 @t29) @t28)) % 28.27/28.85 (define @t82 () (tptp.sdtpldt0 @t76 @t50)) % 28.27/28.85 (define @t83 () (= tptp.sz00 @t82)) % 28.27/28.85 (define @t84 () (and (= tptp.sz00 (tptp.sdtpldt0 @t50 @t76)) @t83)) % 28.27/28.85 (define @t85 () (or @t79 @t84)) % 28.27/28.85 (define @t86 () (not @t17)) % 28.27/28.85 (define @t87 () (not @t10)) % 28.27/28.85 (define @t88 () (not @t2)) % 28.27/28.85 (define @t89 () (or @t88 @t87 @t86)) % 28.27/28.85 (define @t90 () (not @t18)) % 28.27/28.85 (define @t91 () (tptp.aInteger0 @t76)) % 28.27/28.85 (define @t92 () (or @t79 @t91)) % 28.27/28.85 (define @t93 () (tptp.sdtpldt0 @t82 tptp.xb)) % 28.27/28.85 (define @t94 () (tptp.sdtpldt0 @t50 tptp.xb)) % 28.27/28.85 (define @t95 () (= (tptp.sdtpldt0 @t76 @t94) @t93)) % 28.27/28.85 (define @t96 () (not @t91)) % 28.27/28.85 (define @t97 () (or @t96 @t79 @t62 @t95)) % 28.27/28.85 (define @t98 () (@list false false false false)) % 28.27/28.85 (define @t99 () (= tptp.sz00 @t94)) % 28.27/28.85 (define @t100 () (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xb @t50)) @t99)) % 28.27/28.85 (define @t101 () (or @t62 @t100)) % 28.27/28.85 (define @t102 () (tptp.sdtpldt0 @t76 tptp.sz00)) % 28.27/28.85 (define @t103 () (= @t76 @t102)) % 28.27/28.85 (define @t104 () (and @t103 (= @t76 (tptp.sdtpldt0 tptp.sz00 @t76)))) % 28.27/28.85 (define @t105 () (or @t96 @t104)) % 28.27/28.85 (define @t106 () (tptp.aInteger0 @t39)) % 28.27/28.85 (define @t107 () (not @t4)) % 28.27/28.85 (define @t108 () (or @t107 @t106)) % 28.27/28.85 (define @t109 () (tptp.sdtasdt0 @t52 @t39)) % 28.27/28.85 (define @t110 () (= (tptp.sdtasdt0 tptp.xq @t67) @t109)) % 28.27/28.85 (define @t111 () (not @t106)) % 28.27/28.85 (define @t112 () (not @t47)) % 28.27/28.85 (define @t113 () (or @t112 @t70 @t111 @t110)) % 28.27/28.85 (define @t114 () (tptp.sdtasdt0 tptp.xa @t39)) % 28.27/28.85 (define @t115 () (= @t54 @t114)) % 28.27/28.85 (define @t116 () (and (= @t54 (tptp.sdtasdt0 @t39 tptp.xa)) @t115)) % 28.27/28.85 (define @t117 () (not @t49)) % 28.27/28.85 (define @t118 () (or @t117 @t116)) % 28.27/28.85 (define @t119 () (tptp.sdtpldt0 @t75 @t114)) % 28.27/28.85 (define @t120 () (tptp.sdtpldt0 @t50 tptp.xa)) % 28.27/28.85 (define @t121 () (= (tptp.sdtasdt0 @t120 @t39) @t119)) % 28.27/28.85 (define @t122 () (and (= (tptp.sdtasdt0 @t50 (tptp.sdtpldt0 tptp.xa @t39)) (tptp.sdtpldt0 (tptp.sdtasdt0 @t50 tptp.xa) @t75)) @t121)) % 28.27/28.85 (define @t123 () (or @t79 @t117 @t111 @t122)) % 28.27/28.85 (define @t124 () (= @t51 @t120)) % 28.27/28.85 (define @t125 () (or @t117 @t79 @t124)) % 28.27/28.85 (define @t126 () (= @t51 @t52)) % 28.27/28.85 (define @t127 () (and @t126 @t60 @t68 @t77 @t83 @t95 @t99 @t103 @t110 @t115 @t121 @t124)) % 28.27/28.85 (assume @p1 (forall @t3 (=> @t2 true))) % 28.27/28.85 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 28.27/28.85 (assume @p3 @t4) % 28.27/28.85 (assume @p4 @t7) % 28.27/28.85 (assume @p5 (forall @t12 (=> @t11 (tptp.aInteger0 @t9)))) % 28.27/28.85 (assume @p6 (forall @t12 (=> @t11 (tptp.aInteger0 @t13)))) % 28.27/28.85 (assume @p7 @t20) % 28.27/28.85 (assume @p8 @t22) % 28.27/28.85 (assume @p9 @t27) % 28.27/28.85 (assume @p10 @t32) % 28.27/28.85 (assume @p11 @t35) % 28.27/28.85 (assume @p12 (forall @t12 (=> @t11 (= @t13 (tptp.sdtasdt0 @t8 @t1))))) % 28.27/28.85 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 28.27/28.85 (assume @p14 @t38) % 28.27/28.85 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 28.27/28.85 (assume @p16 @t44) % 28.27/28.85 (assume @p17 (forall @t12 (=> @t11 (=> (= @t13 tptp.sz00) (or (= @t1 tptp.sz00) @t45))))) % 28.27/28.85 (assume @p18 (forall @t3 (=> @t2 (forall (@list @t8) (= (tptp.aDivisorOf0 @t8 @t1) (and @t10 @t46 (exists (@list @t14) (and @t17 (= @t33 @t1))))))))) % 28.27/28.85 (assume @p19 (forall @t19 (=> (and @t2 @t10 @t17 (not (= @t14 tptp.sz00))) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t8 @t14) (tptp.aDivisorOf0 @t14 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t8))))))) % 28.27/28.85 (assume @p20 (forall @t12 (=> (and @t2 @t10 @t46) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t8)))) % 28.27/28.85 (assume @p21 (and @t49 @t48 @t47 (not (= tptp.xq tptp.sz00)))) % 28.27/28.85 (assume @p22 (and (exists @t3 (and @t2 (= (tptp.sdtasdt0 tptp.xq @t1) @t51))) (tptp.aDivisorOf0 tptp.xq @t51) (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq))) % 28.27/28.85 (assume @p23 (and @t53 (= @t52 @t51))) % 28.27/28.85 (assume @p24 (not @t57)) % 28.27/28.85 (assume @p25 true) % 28.27/28.85 (step @p26 :rule and_elim :premises (@p23) :args (1)) % 28.27/28.85 (step @p27 :rule symm :premises (@p26)) % 28.27/28.85 (step @p28 :rule bool-impl-elim :args (@t2 @t58)) % 28.27/28.85 (step @p29 :rule cong :premises (@p28) :args ((forall @t3 (=> @t2 @t58)))) % 28.27/28.85 (step @p30 :rule refl :args (@t23)) % 28.27/28.85 (step @p31 :rule eq-symm :args (@t24 @t1)) % 28.27/28.85 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t25)) % 28.27/28.85 (step @p33 :rule refl :args (@t2)) % 28.27/28.85 (step @p34 :rule cong :premises (@p33 @p32) :args (@t26)) % 28.27/28.85 (step @p35 :rule cong :premises (@p34) :args (@t27)) % 28.27/28.85 (step @p36 :rule trans :premises (@p35 @p29)) % 28.27/28.85 (step @p37 :rule eq_resolve :premises (@p9 @p36)) % 28.27/28.85 (step @p38 :rule instantiate :premises (@p37) :args (@t59)) % 28.27/28.85 (step @p39 :rule and_elim :premises (@p21) :args (1)) % 28.27/28.85 (step @p40 :rule cnf_or_pos :args (@t63)) % 28.27/28.85 (step @p41 :rule reordering :premises (@p40) :args ((or @t62 @t61 (not @t63)))) % 28.27/28.85 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p38) :args (@t61 @t64 (@list @t48 @t63))) % 28.27/28.85 (step @p43 :rule cnf_and_pos :args (@t61 1)) % 28.27/28.85 (step @p44 :rule reordering :premises (@p43) :args ((or @t60 (not @t61)))) % 28.27/28.85 (step @p45 :rule chain_m_resolution :premises (@p44 @p42) :args (@t60 @t65 (@list @t61))) % 28.27/28.85 (step @p46 :rule bool-impl-elim :args (@t2 @t66)) % 28.27/28.85 (step @p47 :rule cong :premises (@p46) :args ((forall @t3 (=> @t2 @t66)))) % 28.27/28.85 (step @p48 :rule refl :args (@t40)) % 28.27/28.85 (step @p49 :rule eq-symm :args (@t41 @t5)) % 28.27/28.85 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t42)) % 28.27/28.85 (step @p51 :rule cong :premises (@p33 @p50) :args (@t43)) % 28.27/28.85 (step @p52 :rule cong :premises (@p51) :args (@t44)) % 28.27/28.85 (step @p53 :rule trans :premises (@p52 @p47)) % 28.27/28.85 (step @p54 :rule eq_resolve :premises (@p16 @p53)) % 28.27/28.85 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.xn))) % 28.27/28.85 (step @p56 :rule and_elim :premises (@p23) :args (0)) % 28.27/28.85 (step @p57 :rule cnf_or_pos :args (@t71)) % 28.27/28.85 (step @p58 :rule reordering :premises (@p57) :args ((or @t70 @t69 (not @t71)))) % 28.27/28.85 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p55) :args (@t69 @t64 (@list @t53 @t71))) % 28.27/28.85 (step @p60 :rule cnf_and_pos :args (@t69 1)) % 28.27/28.85 (step @p61 :rule reordering :premises (@p60) :args ((or @t68 (not @t69)))) % 28.27/28.85 (step @p62 :rule chain_m_resolution :premises (@p61 @p59) :args (@t68 @t65 (@list @t69))) % 28.27/28.85 (step @p63 :rule instantiate :premises (@p54) :args (@t72)) % 28.27/28.85 (step @p64 :rule bool-impl-elim :args (@t2 @t6)) % 28.27/28.85 (step @p65 :rule cong :premises (@p64) :args (@t7)) % 28.27/28.85 (step @p66 :rule eq_resolve :premises (@p4 @p65)) % 28.27/28.85 (step @p67 :rule instantiate :premises (@p66) :args (@t59)) % 28.27/28.85 (step @p68 :rule cnf_or_pos :args (@t74)) % 28.27/28.85 (step @p69 :rule reordering :premises (@p68) :args ((or @t62 @t73 (not @t74)))) % 28.27/28.85 (step @p70 :rule chain_m_resolution :premises (@p69 @p39 @p67) :args (@t73 @t64 (@list @t48 @t74))) % 28.27/28.85 (step @p71 :rule cnf_or_pos :args (@t80)) % 28.27/28.85 (step @p72 :rule reordering :premises (@p71) :args ((or @t79 @t78 (not @t80)))) % 28.27/28.85 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p63) :args (@t78 @t64 (@list @t73 @t80))) % 28.27/28.85 (step @p74 :rule cnf_and_pos :args (@t78 1)) % 28.27/28.85 (step @p75 :rule reordering :premises (@p74) :args ((or @t77 (not @t78)))) % 28.27/28.85 (step @p76 :rule chain_m_resolution :premises (@p75 @p73) :args (@t77 @t65 (@list @t78))) % 28.27/28.85 (step @p77 :rule bool-impl-elim :args (@t2 @t81)) % 28.27/28.85 (step @p78 :rule cong :premises (@p77) :args ((forall @t3 (=> @t2 @t81)))) % 28.27/28.85 (step @p79 :rule refl :args (@t28)) % 28.27/28.85 (step @p80 :rule eq-symm :args (@t29 tptp.sz00)) % 28.27/28.85 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t30)) % 28.27/28.85 (step @p82 :rule cong :premises (@p33 @p81) :args (@t31)) % 28.27/28.85 (step @p83 :rule cong :premises (@p82) :args (@t32)) % 28.27/28.85 (step @p84 :rule trans :premises (@p83 @p78)) % 28.27/28.85 (step @p85 :rule eq_resolve :premises (@p10 @p84)) % 28.27/28.85 (step @p86 :rule instantiate :premises (@p85) :args (@t72)) % 28.27/28.85 (step @p87 :rule cnf_or_pos :args (@t85)) % 28.27/28.85 (step @p88 :rule reordering :premises (@p87) :args ((or @t79 @t84 (not @t85)))) % 28.27/28.85 (step @p89 :rule chain_m_resolution :premises (@p88 @p70 @p86) :args (@t84 @t64 (@list @t73 @t85))) % 28.27/28.85 (step @p90 :rule cnf_and_pos :args (@t84 1)) % 28.27/28.85 (step @p91 :rule reordering :premises (@p90) :args ((or @t83 (not @t84)))) % 28.27/28.85 (step @p92 :rule chain_m_resolution :premises (@p91 @p89) :args (@t83 @t65 (@list @t84))) % 28.27/28.85 (step @p93 :rule aci_norm :args ((= (or @t89 @t16) (or @t88 @t87 @t86 @t16)))) % 28.27/28.85 (step @p94 :rule refl :args (@t16)) % 28.27/28.85 (step @p95 :rule aci_norm :args ((= (or @t88 (or @t87 @t86)) @t89))) % 28.27/28.85 (step @p96 :rule bool-and-de-morgan :args (@t10 @t17 true)) % 28.27/28.85 (step @p97 :rule refl :args (@t88)) % 28.27/28.85 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t88 (not (and @t10 @t17))))) % 28.27/28.85 (step @p99 :rule bool-and-de-morgan :args (@t2 @t10 (and @t17))) % 28.27/28.85 (step @p100 :rule trans :premises (@p99 @p98)) % 28.27/28.85 (step @p101 :rule trans :premises (@p100 @p95)) % 28.27/28.85 (step @p102 :rule nary_cong :premises (@p101 @p94) :args ((or @t90 @t16))) % 28.27/28.85 (step @p103 :rule trans :premises (@p102 @p93)) % 28.27/28.85 (step @p104 :rule bool-impl-elim :args (@t18 @t16)) % 28.27/28.85 (step @p105 :rule trans :premises (@p104 @p103)) % 28.27/28.85 (step @p106 :rule cong :premises (@p105) :args (@t20)) % 28.27/28.85 (step @p107 :rule eq_resolve :premises (@p7 @p106)) % 28.27/28.85 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t76 @t50 tptp.xb))) % 28.27/28.85 (step @p109 :rule instantiate :premises (@p66) :args (@t72)) % 28.27/28.85 (step @p110 :rule cnf_or_pos :args (@t92)) % 28.27/28.85 (step @p111 :rule reordering :premises (@p110) :args ((or @t79 @t91 (not @t92)))) % 28.27/28.85 (step @p112 :rule chain_m_resolution :premises (@p111 @p70 @p109) :args (@t91 @t64 (@list @t73 @t92))) % 28.27/28.85 (step @p113 :rule cnf_or_pos :args (@t97)) % 28.27/28.85 (step @p114 :rule reordering :premises (@p113) :args ((or @t62 @t79 @t96 @t95 (not @t97)))) % 28.27/28.85 (step @p115 :rule chain_m_resolution :premises (@p114 @p39 @p70 @p112 @p108) :args (@t95 @t98 (@list @t48 @t73 @t91 @t97))) % 28.27/28.85 (step @p116 :rule instantiate :premises (@p85) :args (@t59)) % 28.27/28.85 (step @p117 :rule cnf_or_pos :args (@t101)) % 28.27/28.85 (step @p118 :rule reordering :premises (@p117) :args ((or @t62 @t100 (not @t101)))) % 28.27/28.85 (step @p119 :rule chain_m_resolution :premises (@p118 @p39 @p116) :args (@t100 @t64 (@list @t48 @t101))) % 28.27/28.85 (step @p120 :rule cnf_and_pos :args (@t100 1)) % 28.27/28.85 (step @p121 :rule reordering :premises (@p120) :args ((or @t99 (not @t100)))) % 28.27/28.85 (step @p122 :rule chain_m_resolution :premises (@p121 @p119) :args (@t99 @t65 (@list @t100))) % 28.27/28.85 (step @p123 :rule instantiate :premises (@p37) :args ((@list @t76))) % 28.27/28.85 (step @p124 :rule cnf_or_pos :args (@t105)) % 28.27/28.85 (step @p125 :rule reordering :premises (@p124) :args ((or @t96 @t104 (not @t105)))) % 28.27/28.85 (step @p126 :rule chain_m_resolution :premises (@p125 @p112 @p123) :args (@t104 @t64 (@list @t91 @t105))) % 28.27/28.85 (step @p127 :rule cnf_and_pos :args (@t104 0)) % 28.27/28.85 (step @p128 :rule reordering :premises (@p127) :args ((or @t103 (not @t104)))) % 28.27/28.85 (step @p129 :rule chain_m_resolution :premises (@p128 @p126) :args (@t103 @t65 (@list @t104))) % 28.27/28.85 (step @p130 :rule aci_norm :args ((= (or @t89 @t34) (or @t88 @t87 @t86 @t34)))) % 28.27/28.85 (step @p131 :rule refl :args (@t34)) % 28.27/28.85 (step @p132 :rule nary_cong :premises (@p101 @p131) :args ((or @t90 @t34))) % 28.27/28.85 (step @p133 :rule trans :premises (@p132 @p130)) % 28.27/28.85 (step @p134 :rule bool-impl-elim :args (@t18 @t34)) % 28.27/28.85 (step @p135 :rule trans :premises (@p134 @p133)) % 28.27/28.85 (step @p136 :rule cong :premises (@p135) :args (@t35)) % 28.27/28.85 (step @p137 :rule eq_resolve :premises (@p11 @p136)) % 28.27/28.85 (step @p138 :rule instantiate :premises (@p137) :args ((@list tptp.xq tptp.xn @t39))) % 28.27/28.85 (step @p139 :rule instantiate :premises (@p66) :args ((@list tptp.sz10))) % 28.27/28.85 (step @p140 :rule cnf_or_pos :args (@t108)) % 28.27/28.85 (step @p141 :rule reordering :premises (@p140) :args ((or @t107 @t106 (not @t108)))) % 28.27/28.85 (step @p142 :rule chain_m_resolution :premises (@p141 @p3 @p139) :args (@t106 @t64 (@list @t4 @t108))) % 28.27/28.85 (step @p143 :rule and_elim :premises (@p21) :args (2)) % 28.27/28.85 (step @p144 :rule cnf_or_pos :args (@t113)) % 28.27/28.85 (step @p145 :rule reordering :premises (@p144) :args ((or @t112 @t70 @t111 @t110 (not @t113)))) % 28.27/28.85 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p56 @p142 @p138) :args (@t110 @t98 (@list @t47 @t53 @t106 @t113))) % 28.27/28.85 (step @p147 :rule instantiate :premises (@p54) :args ((@list tptp.xa))) % 28.27/28.85 (step @p148 :rule and_elim :premises (@p21) :args (0)) % 28.27/28.85 (step @p149 :rule cnf_or_pos :args (@t118)) % 28.27/28.85 (step @p150 :rule reordering :premises (@p149) :args ((or @t117 @t116 (not @t118)))) % 28.27/28.85 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p147) :args (@t116 @t64 (@list @t49 @t118))) % 28.27/28.85 (step @p152 :rule cnf_and_pos :args (@t116 1)) % 28.27/28.85 (step @p153 :rule reordering :premises (@p152) :args ((or @t115 (not @t116)))) % 28.27/28.85 (step @p154 :rule chain_m_resolution :premises (@p153 @p151) :args (@t115 @t65 (@list @t116))) % 28.27/28.85 (step @p155 :rule aci_norm :args ((= (or @t89 @t37) (or @t88 @t87 @t86 @t37)))) % 28.27/28.85 (step @p156 :rule refl :args (@t37)) % 28.27/28.85 (step @p157 :rule nary_cong :premises (@p101 @p156) :args ((or @t90 @t37))) % 28.27/28.85 (step @p158 :rule trans :premises (@p157 @p155)) % 28.27/28.85 (step @p159 :rule bool-impl-elim :args (@t18 @t37)) % 28.27/28.85 (step @p160 :rule trans :premises (@p159 @p158)) % 28.27/28.85 (step @p161 :rule cong :premises (@p160) :args (@t38)) % 28.27/28.85 (step @p162 :rule eq_resolve :premises (@p14 @p161)) % 28.27/28.85 (step @p163 :rule instantiate :premises (@p162) :args ((@list @t50 tptp.xa @t39))) % 28.27/28.85 (step @p164 :rule cnf_or_pos :args (@t123)) % 28.27/28.85 (step @p165 :rule reordering :premises (@p164) :args ((or @t117 @t111 @t79 @t122 (not @t123)))) % 28.27/28.85 (step @p166 :rule chain_m_resolution :premises (@p165 @p148 @p142 @p70 @p163) :args (@t122 @t98 (@list @t49 @t106 @t73 @t123))) % 28.27/28.85 (step @p167 :rule cnf_and_pos :args (@t122 1)) % 28.27/28.85 (step @p168 :rule reordering :premises (@p167) :args ((or @t121 (not @t122)))) % 28.27/28.85 (step @p169 :rule chain_m_resolution :premises (@p168 @p166) :args (@t121 @t65 (@list @t122))) % 28.27/28.85 (step @p170 :rule aci_norm :args ((= (or (or @t88 @t87) @t21) (or @t88 @t87 @t21)))) % 28.27/28.85 (step @p171 :rule refl :args (@t21)) % 28.27/28.85 (step @p172 :rule bool-and-de-morgan :args (@t2 @t10 true)) % 28.27/28.85 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or (not @t11) @t21))) % 28.27/28.85 (step @p174 :rule trans :premises (@p173 @p170)) % 28.27/28.85 (step @p175 :rule bool-impl-elim :args (@t11 @t21)) % 28.27/28.85 (step @p176 :rule trans :premises (@p175 @p174)) % 28.27/28.85 (step @p177 :rule cong :premises (@p176) :args (@t22)) % 28.27/28.85 (step @p178 :rule eq_resolve :premises (@p8 @p177)) % 28.27/28.85 (step @p179 :rule instantiate :premises (@p178) :args ((@list tptp.xa @t50))) % 28.27/28.85 (step @p180 :rule cnf_or_pos :args (@t125)) % 28.27/28.85 (step @p181 :rule reordering :premises (@p180) :args ((or @t117 @t79 @t124 (not @t125)))) % 28.27/28.85 (step @p182 :rule chain_m_resolution :premises (@p181 @p148 @p70 @p179) :args (@t124 (@list false false false) (@list @t49 @t73 @t125))) % 28.27/28.85 (assume-push @p229 @t126) % 28.27/28.85 (assume-push @p230 @t60) % 28.27/28.85 (assume-push @p231 @t68) % 28.27/28.85 (assume-push @p232 @t77) % 28.27/28.85 (assume-push @p233 @t83) % 28.27/28.85 (assume-push @p234 @t95) % 28.27/28.85 (assume-push @p235 @t99) % 28.27/28.85 (assume-push @p236 @t103) % 28.27/28.85 (assume-push @p237 @t110) % 28.27/28.85 (assume-push @p238 @t115) % 28.27/28.85 (assume-push @p239 @t121) % 28.27/28.85 (assume-push @p240 @t124) % 28.27/28.85 (step @p195 :rule symm :premises (@p154)) % 28.27/28.85 (step @p196 :rule symm :premises (@p45)) % 28.27/28.85 (step @p197 :rule refl :args (tptp.xb)) % 28.27/28.85 (step @p198 :rule symm :premises (@p92)) % 28.27/28.85 (step @p199 :rule cong :premises (@p198 @p197) :args (@t93)) % 28.27/28.85 (step @p200 :rule refl :args (@t76)) % 28.27/28.85 (step @p201 :rule cong :premises (@p200 @p122) :args (@t102)) % 28.27/28.85 (step @p202 :rule symm :premises (@p76)) % 28.27/28.85 (step @p203 :rule trans :premises (@p202 @p129 @p201 @p115 @p199 @p196)) % 28.27/28.85 (step @p204 :rule cong :premises (@p203 @p195) :args (@t119)) % 28.27/28.85 (step @p205 :rule refl :args (@t39)) % 28.27/28.85 (step @p206 :rule trans :premises (@p26 @p182)) % 28.27/28.85 (step @p207 :rule cong :premises (@p206 @p205) :args (@t109)) % 28.27/28.85 (step @p208 :rule refl :args (tptp.xq)) % 28.27/28.85 (step @p209 :rule cong :premises (@p208 @p62) :args (@t56)) % 28.27/28.85 (step @p210 :rule trans :premises (@p209 @p146 @p207 @p169 @p204)) % 28.27/28.85 (step-pop @p241 :rule scope :premises (@p210)) % 28.27/28.85 (step-pop @p242 :rule scope :premises (@p241)) % 28.27/28.85 (step-pop @p243 :rule scope :premises (@p242)) % 28.27/28.85 (step-pop @p244 :rule scope :premises (@p243)) % 28.27/28.85 (step-pop @p245 :rule scope :premises (@p244)) % 28.27/28.85 (step-pop @p246 :rule scope :premises (@p245)) % 28.27/28.85 (step-pop @p247 :rule scope :premises (@p246)) % 28.27/28.85 (step-pop @p248 :rule scope :premises (@p247)) % 28.27/28.85 (step-pop @p249 :rule scope :premises (@p248)) % 28.27/28.85 (step-pop @p250 :rule scope :premises (@p249)) % 28.27/28.85 (step-pop @p251 :rule scope :premises (@p250)) % 28.27/28.85 (step-pop @p252 :rule scope :premises (@p251)) % 28.27/28.85 (step @p211 :rule process_scope :premises (@p252) :args (@t57)) % 28.27/28.85 (step @p224 :rule implies_elim :premises (@p211)) % 28.27/28.85 (step @p225 :rule cnf_and_neg :args (@t127)) % 28.27/28.85 (step @p226 :rule resolution :premises (@p225 @p224) :args (true @t127)) % 28.27/28.85 (step @p227 :rule reordering :premises (@p226) :args ((or @t57 (not @t126) (not @t60) (not @t68) (not @t77) (not @t83) (not @t95) (not @t99) (not @t103) (not @t110) (not @t115) (not @t121) (not @t124)))) % 28.27/28.85 (step @p228 false :rule chain_m_resolution :premises (@p227 @p182 @p169 @p154 @p146 @p129 @p122 @p115 @p92 @p76 @p62 @p45 @p24 @p27) :args (false (@list false false false false false false false false false false false true false) (@list @t124 @t121 @t115 @t110 @t103 @t99 @t95 @t83 @t77 @t68 @t60 @t57 @t126))) % 28.27/28.85 ) % 28.27/28.85 % SZS output end Proof % 28.27/28.85 % cvc5 exiting %------------------------------------------------------------------------------