%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM431+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 : n019.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 1.00s 1.26s % Output : Proof 1.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM431+3 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 11:18:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.00/1.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.00/1.26 % SZS status Theorem % 1.00/1.26 % SZS output start Proof % 1.00/1.26 ( % 1.00/1.26 (declare-sort $$unsorted 0) % 1.00/1.26 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 1.00/1.26 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 1.00/1.26 (declare-const tptp.sz00 $$unsorted) % 1.00/1.26 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.00/1.26 (declare-const tptp.sz10 $$unsorted) % 1.00/1.26 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 1.00/1.26 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.26 (declare-const tptp.xb $$unsorted) % 1.00/1.26 (declare-const tptp.xn $$unsorted) % 1.00/1.26 (declare-const tptp.xm $$unsorted) % 1.00/1.26 (declare-const tptp.xc $$unsorted) % 1.00/1.26 (declare-const tptp.xq $$unsorted) % 1.00/1.26 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.26 (declare-const tptp.xa $$unsorted) % 1.00/1.26 (define @t1 () (@var "W0" $$unsorted)) % 1.00/1.26 (define @t2 () (tptp.aInteger0 @t1)) % 1.00/1.26 (define @t3 () (@list @t1)) % 1.00/1.26 (define @t4 () (tptp.smndt0 @t1)) % 1.00/1.26 (define @t5 () (tptp.aInteger0 @t4)) % 1.00/1.26 (define @t6 () (forall @t3 (=> @t2 @t5))) % 1.00/1.26 (define @t7 () (@var "W1" $$unsorted)) % 1.00/1.26 (define @t8 () (tptp.sdtpldt0 @t1 @t7)) % 1.00/1.26 (define @t9 () (tptp.aInteger0 @t7)) % 1.00/1.26 (define @t10 () (and @t2 @t9)) % 1.00/1.26 (define @t11 () (@list @t1 @t7)) % 1.00/1.26 (define @t12 () (tptp.sdtasdt0 @t1 @t7)) % 1.00/1.26 (define @t13 () (tptp.aInteger0 @t12)) % 1.00/1.26 (define @t14 () (forall @t11 (=> @t10 @t13))) % 1.00/1.26 (define @t15 () (@var "W2" $$unsorted)) % 1.00/1.26 (define @t16 () (tptp.sdtpldt0 @t7 @t15)) % 1.00/1.26 (define @t17 () (= (tptp.sdtpldt0 @t1 @t16) (tptp.sdtpldt0 @t8 @t15))) % 1.00/1.26 (define @t18 () (tptp.aInteger0 @t15)) % 1.00/1.26 (define @t19 () (and @t2 @t9 @t18)) % 1.00/1.26 (define @t20 () (@list @t1 @t7 @t15)) % 1.00/1.26 (define @t21 () (forall @t20 (=> @t19 @t17))) % 1.00/1.26 (define @t22 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 1.00/1.26 (define @t23 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 1.00/1.26 (define @t24 () (and (= @t23 @t1) @t22)) % 1.00/1.26 (define @t25 () (=> @t2 @t24)) % 1.00/1.26 (define @t26 () (forall @t3 @t25)) % 1.00/1.26 (define @t27 () (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1))) % 1.00/1.26 (define @t28 () (tptp.sdtpldt0 @t1 @t4)) % 1.00/1.26 (define @t29 () (and (= @t28 tptp.sz00) @t27)) % 1.00/1.26 (define @t30 () (=> @t2 @t29)) % 1.00/1.26 (define @t31 () (forall @t3 @t30)) % 1.00/1.26 (define @t32 () (tptp.sdtasdt0 @t7 @t15)) % 1.00/1.26 (define @t33 () (tptp.sdtasdt0 @t1 @t15)) % 1.00/1.26 (define @t34 () (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t12 @t33)) (= (tptp.sdtasdt0 @t8 @t15) (tptp.sdtpldt0 @t33 @t32)))) % 1.00/1.26 (define @t35 () (forall @t20 (=> @t19 @t34))) % 1.00/1.26 (define @t36 () (tptp.smndt0 tptp.sz10)) % 1.00/1.26 (define @t37 () (= @t7 tptp.sz00)) % 1.00/1.26 (define @t38 () (not @t37)) % 1.00/1.26 (define @t39 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t7 @t15)) % 1.00/1.26 (define @t40 () (and @t2 @t9 @t18 (not (= @t15 tptp.sz00)))) % 1.00/1.26 (define @t41 () (tptp.aInteger0 tptp.xc)) % 1.00/1.26 (define @t42 () (tptp.aInteger0 tptp.xq)) % 1.00/1.26 (define @t43 () (tptp.aInteger0 tptp.xb)) % 1.00/1.26 (define @t44 () (tptp.aInteger0 tptp.xa)) % 1.00/1.26 (define @t45 () (tptp.smndt0 tptp.xc)) % 1.00/1.26 (define @t46 () (tptp.sdtpldt0 tptp.xb @t45)) % 1.00/1.26 (define @t47 () (tptp.sdtasdt0 tptp.xq @t1)) % 1.00/1.26 (define @t48 () (= @t47 @t46)) % 1.00/1.26 (define @t49 () (and @t2 @t48)) % 1.00/1.26 (define @t50 () (exists @t3 @t49)) % 1.00/1.26 (define @t51 () (tptp.smndt0 tptp.xb)) % 1.00/1.26 (define @t52 () (tptp.sdtpldt0 tptp.xa @t51)) % 1.00/1.26 (define @t53 () (tptp.sdtasdt0 tptp.xq tptp.xn)) % 1.00/1.26 (define @t54 () (tptp.aInteger0 tptp.xn)) % 1.00/1.26 (define @t55 () (tptp.sdtasdt0 tptp.xq tptp.xm)) % 1.00/1.26 (define @t56 () (tptp.aInteger0 tptp.xm)) % 1.00/1.26 (define @t57 () (tptp.sdtasdt0 tptp.xq (tptp.sdtpldt0 tptp.xn tptp.xm))) % 1.00/1.26 (define @t58 () (= @t57 (tptp.sdtpldt0 tptp.xa @t45))) % 1.00/1.26 (define @t59 () (and (= @t1 @t23) @t22)) % 1.00/1.26 (define @t60 () (= tptp.xa (tptp.sdtpldt0 tptp.sz00 tptp.xa))) % 1.00/1.26 (define @t61 () (and (= tptp.xa (tptp.sdtpldt0 tptp.xa tptp.sz00)) @t60)) % 1.00/1.26 (define @t62 () (not @t44)) % 1.00/1.26 (define @t63 () (or @t62 @t61)) % 1.00/1.26 (define @t64 () (@list false false)) % 1.00/1.26 (define @t65 () (@list false)) % 1.00/1.26 (define @t66 () (and (= tptp.sz00 @t28) @t27)) % 1.00/1.26 (define @t67 () (@list tptp.xb)) % 1.00/1.26 (define @t68 () (tptp.sdtpldt0 @t51 tptp.xb)) % 1.00/1.26 (define @t69 () (= tptp.sz00 @t68)) % 1.00/1.26 (define @t70 () (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xb @t51)) @t69)) % 1.00/1.26 (define @t71 () (not @t43)) % 1.00/1.26 (define @t72 () (or @t71 @t70)) % 1.00/1.26 (define @t73 () (not @t2)) % 1.00/1.26 (define @t74 () (forall @t3 (or @t73 (not @t48)))) % 1.00/1.26 (define @t75 () (@quantifiers_skolemize @t74 0)) % 1.00/1.26 (define @t76 () (@list @t75)) % 1.00/1.26 (define @t77 () (forall @t3 (not @t49))) % 1.00/1.26 (define @t78 () (not @t77)) % 1.00/1.26 (define @t79 () (tptp.sdtasdt0 tptp.xq @t75)) % 1.00/1.26 (define @t80 () (tptp.aInteger0 @t75)) % 1.00/1.26 (define @t81 () (not @t80)) % 1.00/1.26 (define @t82 () (or @t81 (not (= @t46 @t79)))) % 1.00/1.26 (define @t83 () (not @t82)) % 1.00/1.26 (define @t84 () (not @t74)) % 1.00/1.26 (define @t85 () (not (= @t79 @t46))) % 1.00/1.26 (define @t86 () (or @t81 @t85)) % 1.00/1.26 (define @t87 () (not @t86)) % 1.00/1.26 (define @t88 () (@list true)) % 1.00/1.26 (define @t89 () (tptp.smndt0 @t75)) % 1.00/1.26 (define @t90 () (tptp.sdtpldt0 @t89 @t75)) % 1.00/1.26 (define @t91 () (= tptp.sz00 @t90)) % 1.00/1.26 (define @t92 () (and (= tptp.sz00 (tptp.sdtpldt0 @t75 @t89)) @t91)) % 1.00/1.26 (define @t93 () (or @t81 @t92)) % 1.00/1.26 (define @t94 () (not @t18)) % 1.00/1.26 (define @t95 () (not @t9)) % 1.00/1.26 (define @t96 () (or @t73 @t95 @t94)) % 1.00/1.26 (define @t97 () (not @t19)) % 1.00/1.26 (define @t98 () (tptp.sdtpldt0 @t53 @t55)) % 1.00/1.26 (define @t99 () (= @t57 @t98)) % 1.00/1.26 (define @t100 () (and @t99 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xq tptp.xn) tptp.xm) (tptp.sdtpldt0 @t55 (tptp.sdtasdt0 tptp.xn tptp.xm))))) % 1.00/1.26 (define @t101 () (not @t56)) % 1.00/1.26 (define @t102 () (not @t54)) % 1.00/1.26 (define @t103 () (not @t42)) % 1.00/1.26 (define @t104 () (or @t103 @t102 @t101 @t100)) % 1.00/1.26 (define @t105 () (@list false false false false)) % 1.00/1.26 (define @t106 () (tptp.aInteger0 @t55)) % 1.00/1.26 (define @t107 () (or @t103 @t101 @t106)) % 1.00/1.26 (define @t108 () (tptp.aInteger0 @t51)) % 1.00/1.26 (define @t109 () (or @t71 @t108)) % 1.00/1.26 (define @t110 () (tptp.sdtpldt0 @t51 @t55)) % 1.00/1.26 (define @t111 () (tptp.sdtpldt0 tptp.xa @t110)) % 1.00/1.26 (define @t112 () (= @t111 (tptp.sdtpldt0 @t52 @t55))) % 1.00/1.26 (define @t113 () (not @t106)) % 1.00/1.26 (define @t114 () (not @t108)) % 1.00/1.26 (define @t115 () (or @t62 @t114 @t113 @t112)) % 1.00/1.26 (define @t116 () (tptp.aInteger0 @t89)) % 1.00/1.26 (define @t117 () (or @t81 @t116)) % 1.00/1.26 (define @t118 () (tptp.sdtpldt0 @t90 tptp.xa)) % 1.00/1.26 (define @t119 () (tptp.sdtpldt0 @t89 (tptp.sdtpldt0 @t75 tptp.xa))) % 1.00/1.26 (define @t120 () (= @t119 @t118)) % 1.00/1.26 (define @t121 () (not @t116)) % 1.00/1.26 (define @t122 () (or @t121 @t81 @t62 @t120)) % 1.00/1.26 (define @t123 () (tptp.aInteger0 @t45)) % 1.00/1.26 (define @t124 () (not @t41)) % 1.00/1.26 (define @t125 () (or @t124 @t123)) % 1.00/1.26 (define @t126 () (= @t45 (tptp.sdtpldt0 tptp.sz00 @t45))) % 1.00/1.26 (define @t127 () (and (= @t45 (tptp.sdtpldt0 @t45 tptp.sz00)) @t126)) % 1.00/1.26 (define @t128 () (not @t123)) % 1.00/1.26 (define @t129 () (or @t128 @t127)) % 1.00/1.26 (define @t130 () (tptp.sdtpldt0 @t68 @t45)) % 1.00/1.26 (define @t131 () (= (tptp.sdtpldt0 @t51 @t46) @t130)) % 1.00/1.26 (define @t132 () (or @t114 @t71 @t128 @t131)) % 1.00/1.26 (define @t133 () (= @t52 @t53)) % 1.00/1.26 (define @t134 () (= @t46 @t55)) % 1.00/1.26 (define @t135 () (and @t133 @t134 @t60 @t69 @t91 @t99 @t120 @t112 @t126 @t131)) % 1.00/1.26 (assume @p1 (forall @t3 (=> @t2 true))) % 1.00/1.26 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 1.00/1.26 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 1.00/1.26 (assume @p4 @t6) % 1.00/1.26 (assume @p5 (forall @t11 (=> @t10 (tptp.aInteger0 @t8)))) % 1.00/1.26 (assume @p6 @t14) % 1.00/1.26 (assume @p7 @t21) % 1.00/1.26 (assume @p8 (forall @t11 (=> @t10 (= @t8 (tptp.sdtpldt0 @t7 @t1))))) % 1.00/1.26 (assume @p9 @t26) % 1.00/1.26 (assume @p10 @t31) % 1.00/1.26 (assume @p11 (forall @t20 (=> @t19 (= (tptp.sdtasdt0 @t1 @t32) (tptp.sdtasdt0 @t12 @t15))))) % 1.00/1.26 (assume @p12 (forall @t11 (=> @t10 (= @t12 (tptp.sdtasdt0 @t7 @t1))))) % 1.00/1.26 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 1.00/1.26 (assume @p14 @t35) % 1.00/1.26 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 1.00/1.26 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t36 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t36)))))) % 1.00/1.26 (assume @p17 (forall @t11 (=> @t10 (=> (= @t12 tptp.sz00) (or (= @t1 tptp.sz00) @t37))))) % 1.00/1.26 (assume @p18 (forall @t3 (=> @t2 (forall (@list @t7) (= (tptp.aDivisorOf0 @t7 @t1) (and @t9 @t38 (exists (@list @t15) (and @t18 (= @t32 @t1))))))))) % 1.00/1.26 (assume @p19 (forall @t20 (=> @t40 (= @t39 (tptp.aDivisorOf0 @t15 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t7))))))) % 1.00/1.26 (assume @p20 (forall @t11 (=> (and @t2 @t9 @t38) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t7)))) % 1.00/1.26 (assume @p21 (forall @t20 (=> @t40 (=> @t39 (tptp.sdteqdtlpzmzozddtrp0 @t7 @t1 @t15))))) % 1.00/1.26 (assume @p22 (and @t44 @t43 @t42 (not (= tptp.xq tptp.sz00)) @t41)) % 1.00/1.26 (assume @p23 (and (exists @t3 (and @t2 (= @t47 @t52))) (tptp.aDivisorOf0 tptp.xq @t52) (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq) @t50 (tptp.aDivisorOf0 tptp.xq @t46) (tptp.sdteqdtlpzmzozddtrp0 tptp.xb tptp.xc tptp.xq))) % 1.00/1.26 (assume @p24 (and @t54 (= @t53 @t52))) % 1.00/1.26 (assume @p25 (and @t56 (= @t55 @t46))) % 1.00/1.26 (assume @p26 (not @t58)) % 1.00/1.26 (assume @p27 true) % 1.00/1.26 (step @p28 :rule and_elim :premises (@p24) :args (1)) % 1.00/1.26 (step @p29 :rule symm :premises (@p28)) % 1.00/1.26 (step @p30 :rule and_elim :premises (@p25) :args (1)) % 1.00/1.26 (step @p31 :rule symm :premises (@p30)) % 1.00/1.26 (step @p32 :rule bool-impl-elim :args (@t2 @t59)) % 1.00/1.26 (step @p33 :rule cong :premises (@p32) :args ((forall @t3 (=> @t2 @t59)))) % 1.00/1.26 (step @p34 :rule refl :args (@t22)) % 1.00/1.26 (step @p35 :rule eq-symm :args (@t23 @t1)) % 1.00/1.26 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t24)) % 1.00/1.26 (step @p37 :rule refl :args (@t2)) % 1.00/1.26 (step @p38 :rule cong :premises (@p37 @p36) :args (@t25)) % 1.00/1.26 (step @p39 :rule cong :premises (@p38) :args (@t26)) % 1.00/1.26 (step @p40 :rule trans :premises (@p39 @p33)) % 1.00/1.26 (step @p41 :rule eq_resolve :premises (@p9 @p40)) % 1.00/1.26 (step @p42 :rule instantiate :premises (@p41) :args ((@list tptp.xa))) % 1.00/1.26 (step @p43 :rule and_elim :premises (@p22) :args (0)) % 1.00/1.26 (step @p44 :rule cnf_or_pos :args (@t63)) % 1.00/1.26 (step @p45 :rule reordering :premises (@p44) :args ((or @t62 @t61 (not @t63)))) % 1.00/1.26 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42) :args (@t61 @t64 (@list @t44 @t63))) % 1.00/1.26 (step @p47 :rule cnf_and_pos :args (@t61 1)) % 1.00/1.26 (step @p48 :rule reordering :premises (@p47) :args ((or @t60 (not @t61)))) % 1.00/1.26 (step @p49 :rule chain_m_resolution :premises (@p48 @p46) :args (@t60 @t65 (@list @t61))) % 1.00/1.26 (step @p50 :rule bool-impl-elim :args (@t2 @t66)) % 1.00/1.26 (step @p51 :rule cong :premises (@p50) :args ((forall @t3 (=> @t2 @t66)))) % 1.00/1.26 (step @p52 :rule refl :args (@t27)) % 1.00/1.26 (step @p53 :rule eq-symm :args (@t28 tptp.sz00)) % 1.00/1.26 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t29)) % 1.00/1.26 (step @p55 :rule cong :premises (@p37 @p54) :args (@t30)) % 1.00/1.26 (step @p56 :rule cong :premises (@p55) :args (@t31)) % 1.00/1.26 (step @p57 :rule trans :premises (@p56 @p51)) % 1.00/1.26 (step @p58 :rule eq_resolve :premises (@p10 @p57)) % 1.00/1.26 (step @p59 :rule instantiate :premises (@p58) :args (@t67)) % 1.00/1.26 (step @p60 :rule and_elim :premises (@p22) :args (1)) % 1.00/1.26 (step @p61 :rule cnf_or_pos :args (@t72)) % 1.00/1.26 (step @p62 :rule reordering :premises (@p61) :args ((or @t71 @t70 (not @t72)))) % 1.00/1.26 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p59) :args (@t70 @t64 (@list @t43 @t72))) % 1.00/1.26 (step @p64 :rule cnf_and_pos :args (@t70 1)) % 1.00/1.26 (step @p65 :rule reordering :premises (@p64) :args ((or @t69 (not @t70)))) % 1.00/1.26 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t69 @t65 (@list @t70))) % 1.00/1.26 (step @p67 :rule instantiate :premises (@p58) :args (@t76)) % 1.00/1.26 (step @p68 :rule bool-and-de-morgan :args (@t2 @t48 true)) % 1.00/1.26 (step @p69 :rule cong :premises (@p68) :args (@t77)) % 1.00/1.26 (step @p70 :rule cong :premises (@p69) :args (@t78)) % 1.00/1.26 (step @p71 :rule exists-elim :args ((= @t50 @t78))) % 1.00/1.26 (step @p72 :rule trans :premises (@p71 @p70)) % 1.00/1.26 (step @p73 :rule and_elim :premises (@p23) :args (3)) % 1.00/1.26 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 1.00/1.26 (step @p75 :rule refl :args (@t83)) % 1.00/1.26 (step @p76 :rule bool-double-not-elim :args (@t74)) % 1.00/1.26 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t84) @t83))) % 1.00/1.26 (step @p78 :rule eq-symm :args (@t79 @t46)) % 1.00/1.26 (step @p79 :rule cong :premises (@p78) :args (@t85)) % 1.00/1.26 (step @p80 :rule refl :args (@t81)) % 1.00/1.26 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t86)) % 1.00/1.26 (step @p82 :rule cong :premises (@p81) :args (@t87)) % 1.00/1.26 (step @p83 :rule refl :args (@t84)) % 1.00/1.26 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t84 @t87))) % 1.00/1.26 (assume-push @p233 @t84) % 1.00/1.26 (step @p86 :rule skolemize :premises (@p74)) % 1.00/1.26 (step-pop @p234 :rule scope :premises (@p86)) % 1.00/1.26 (step @p87 :rule process_scope :premises (@p234) :args (@t87)) % 1.00/1.26 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 1.00/1.26 (step @p90 :rule implies_elim :premises (@p89)) % 1.00/1.26 (step @p91 :rule eq_resolve :premises (@p90 @p77)) % 1.00/1.26 (step @p92 :rule chain_m_resolution :premises (@p91 @p74) :args (@t83 @t88 (@list @t74))) % 1.00/1.26 (step @p93 :rule bool-double-not-elim :args (@t80)) % 1.00/1.26 (step @p94 :rule refl :args (@t82)) % 1.00/1.26 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t82 (not @t81)))) % 1.00/1.26 (step @p96 :rule cnf_or_neg :args (@t82 0)) % 1.00/1.26 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 1.00/1.26 (step @p98 :rule reordering :premises (@p97) :args ((or @t80 @t82))) % 1.00/1.26 (step @p99 :rule chain_m_resolution :premises (@p98 @p92) :args (@t80 @t88 (@list @t82))) % 1.00/1.26 (step @p100 :rule cnf_or_pos :args (@t93)) % 1.00/1.26 (step @p101 :rule reordering :premises (@p100) :args ((or @t81 @t92 (not @t93)))) % 1.00/1.26 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p67) :args (@t92 @t64 (@list @t80 @t93))) % 1.00/1.26 (step @p103 :rule cnf_and_pos :args (@t92 1)) % 1.00/1.26 (step @p104 :rule reordering :premises (@p103) :args ((or @t91 (not @t92)))) % 1.00/1.26 (step @p105 :rule chain_m_resolution :premises (@p104 @p102) :args (@t91 @t65 (@list @t92))) % 1.00/1.26 (step @p106 :rule aci_norm :args ((= (or @t96 @t34) (or @t73 @t95 @t94 @t34)))) % 1.00/1.26 (step @p107 :rule refl :args (@t34)) % 1.00/1.26 (step @p108 :rule aci_norm :args ((= (or @t73 (or @t95 @t94)) @t96))) % 1.00/1.26 (step @p109 :rule bool-and-de-morgan :args (@t9 @t18 true)) % 1.00/1.26 (step @p110 :rule refl :args (@t73)) % 1.00/1.26 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t73 (not (and @t9 @t18))))) % 1.00/1.26 (step @p112 :rule bool-and-de-morgan :args (@t2 @t9 (and @t18))) % 1.00/1.26 (step @p113 :rule trans :premises (@p112 @p111)) % 1.00/1.26 (step @p114 :rule trans :premises (@p113 @p108)) % 1.00/1.26 (step @p115 :rule nary_cong :premises (@p114 @p107) :args ((or @t97 @t34))) % 1.00/1.26 (step @p116 :rule trans :premises (@p115 @p106)) % 1.00/1.26 (step @p117 :rule bool-impl-elim :args (@t19 @t34)) % 1.00/1.26 (step @p118 :rule trans :premises (@p117 @p116)) % 1.00/1.26 (step @p119 :rule cong :premises (@p118) :args (@t35)) % 1.00/1.26 (step @p120 :rule eq_resolve :premises (@p14 @p119)) % 1.00/1.26 (step @p121 :rule instantiate :premises (@p120) :args ((@list tptp.xq tptp.xn tptp.xm))) % 1.00/1.26 (step @p122 :rule and_elim :premises (@p25) :args (0)) % 1.00/1.26 (step @p123 :rule and_elim :premises (@p24) :args (0)) % 1.00/1.26 (step @p124 :rule and_elim :premises (@p22) :args (2)) % 1.00/1.26 (step @p125 :rule cnf_or_pos :args (@t104)) % 1.00/1.26 (step @p126 :rule reordering :premises (@p125) :args ((or @t103 @t102 @t101 @t100 (not @t104)))) % 1.00/1.26 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p123 @p122 @p121) :args (@t100 @t105 (@list @t42 @t54 @t56 @t104))) % 1.00/1.26 (step @p128 :rule cnf_and_pos :args (@t100 0)) % 1.00/1.26 (step @p129 :rule reordering :premises (@p128) :args ((or @t99 (not @t100)))) % 1.00/1.26 (step @p130 :rule chain_m_resolution :premises (@p129 @p127) :args (@t99 @t65 (@list @t100))) % 1.00/1.26 (step @p131 :rule aci_norm :args ((= (or @t96 @t17) (or @t73 @t95 @t94 @t17)))) % 1.00/1.26 (step @p132 :rule refl :args (@t17)) % 1.00/1.26 (step @p133 :rule nary_cong :premises (@p114 @p132) :args ((or @t97 @t17))) % 1.00/1.26 (step @p134 :rule trans :premises (@p133 @p131)) % 1.00/1.26 (step @p135 :rule bool-impl-elim :args (@t19 @t17)) % 1.00/1.26 (step @p136 :rule trans :premises (@p135 @p134)) % 1.00/1.26 (step @p137 :rule cong :premises (@p136) :args (@t21)) % 1.00/1.26 (step @p138 :rule eq_resolve :premises (@p7 @p137)) % 1.00/1.26 (step @p139 :rule instantiate :premises (@p138) :args ((@list tptp.xa @t51 @t55))) % 1.00/1.26 (step @p140 :rule aci_norm :args ((= (or (or @t73 @t95) @t13) (or @t73 @t95 @t13)))) % 1.00/1.26 (step @p141 :rule refl :args (@t13)) % 1.00/1.26 (step @p142 :rule bool-and-de-morgan :args (@t2 @t9 true)) % 1.00/1.26 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or (not @t10) @t13))) % 1.00/1.26 (step @p144 :rule trans :premises (@p143 @p140)) % 1.00/1.26 (step @p145 :rule bool-impl-elim :args (@t10 @t13)) % 1.00/1.26 (step @p146 :rule trans :premises (@p145 @p144)) % 1.00/1.26 (step @p147 :rule cong :premises (@p146) :args (@t14)) % 1.00/1.26 (step @p148 :rule eq_resolve :premises (@p6 @p147)) % 1.00/1.26 (step @p149 :rule instantiate :premises (@p148) :args ((@list tptp.xq tptp.xm))) % 1.00/1.26 (step @p150 :rule cnf_or_pos :args (@t107)) % 1.00/1.26 (step @p151 :rule reordering :premises (@p150) :args ((or @t103 @t101 @t106 (not @t107)))) % 1.00/1.26 (step @p152 :rule chain_m_resolution :premises (@p151 @p124 @p122 @p149) :args (@t106 (@list false false false) (@list @t42 @t56 @t107))) % 1.00/1.26 (step @p153 :rule bool-impl-elim :args (@t2 @t5)) % 1.00/1.26 (step @p154 :rule cong :premises (@p153) :args (@t6)) % 1.00/1.26 (step @p155 :rule eq_resolve :premises (@p4 @p154)) % 1.00/1.26 (step @p156 :rule instantiate :premises (@p155) :args (@t67)) % 1.00/1.26 (step @p157 :rule cnf_or_pos :args (@t109)) % 1.00/1.26 (step @p158 :rule reordering :premises (@p157) :args ((or @t71 @t108 (not @t109)))) % 1.00/1.26 (step @p159 :rule chain_m_resolution :premises (@p158 @p60 @p156) :args (@t108 @t64 (@list @t43 @t109))) % 1.00/1.26 (step @p160 :rule cnf_or_pos :args (@t115)) % 1.00/1.26 (step @p161 :rule reordering :premises (@p160) :args ((or @t62 @t114 @t113 @t112 (not @t115)))) % 1.00/1.26 (step @p162 :rule chain_m_resolution :premises (@p161 @p43 @p159 @p152 @p139) :args (@t112 @t105 (@list @t44 @t108 @t106 @t115))) % 1.00/1.26 (step @p163 :rule instantiate :premises (@p138) :args ((@list @t89 @t75 tptp.xa))) % 1.00/1.26 (step @p164 :rule instantiate :premises (@p155) :args (@t76)) % 1.00/1.26 (step @p165 :rule cnf_or_pos :args (@t117)) % 1.00/1.26 (step @p166 :rule reordering :premises (@p165) :args ((or @t81 @t116 (not @t117)))) % 1.00/1.26 (step @p167 :rule chain_m_resolution :premises (@p166 @p99 @p164) :args (@t116 @t64 (@list @t80 @t117))) % 1.00/1.26 (step @p168 :rule cnf_or_pos :args (@t122)) % 1.00/1.26 (step @p169 :rule reordering :premises (@p168) :args ((or @t62 @t81 @t121 @t120 (not @t122)))) % 1.00/1.26 (step @p170 :rule chain_m_resolution :premises (@p169 @p43 @p99 @p167 @p163) :args (@t120 @t105 (@list @t44 @t80 @t116 @t122))) % 1.00/1.26 (step @p171 :rule instantiate :premises (@p41) :args ((@list @t45))) % 1.00/1.26 (step @p172 :rule instantiate :premises (@p155) :args ((@list tptp.xc))) % 1.00/1.26 (step @p173 :rule and_elim 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@p185 :rule reordering :premises (@p184) :args ((or @t71 @t114 @t128 @t131 (not @t132)))) % 1.00/1.26 (step @p186 :rule chain_m_resolution :premises (@p185 @p60 @p159 @p176 @p183) :args (@t131 @t105 (@list @t43 @t108 @t123 @t132))) % 1.00/1.26 (assume-push @p235 @t133) % 1.00/1.26 (assume-push @p236 @t134) % 1.00/1.26 (assume-push @p237 @t60) % 1.00/1.26 (assume-push @p238 @t69) % 1.00/1.26 (assume-push @p239 @t91) % 1.00/1.26 (assume-push @p240 @t99) % 1.00/1.26 (assume-push @p241 @t120) % 1.00/1.26 (assume-push @p242 @t112) % 1.00/1.26 (assume-push @p243 @t126) % 1.00/1.26 (assume-push @p244 @t131) % 1.00/1.26 (step @p197 :rule symm :premises (@p182)) % 1.00/1.26 (step @p198 :rule refl :args (@t45)) % 1.00/1.26 (step @p199 :rule symm :premises (@p66)) % 1.00/1.26 (step @p200 :rule cong :premises (@p199 @p198) :args (@t130)) % 1.00/1.26 (step @p201 :rule refl :args (@t51)) % 1.00/1.26 (step @p202 :rule cong :premises (@p201 @p30) :args (@t110)) % 1.00/1.26 (step @p203 :rule trans :premises (@p202 @p186 @p200 @p197)) % 1.00/1.26 (step @p204 :rule symm :premises (@p49)) % 1.00/1.26 (step @p205 :rule refl :args (tptp.xa)) % 1.00/1.26 (step @p206 :rule symm :premises (@p105)) % 1.00/1.26 (step @p207 :rule cong :premises (@p206 @p205) :args (@t118)) % 1.00/1.26 (step @p208 :rule trans :premises (@p170 @p207 @p204)) % 1.00/1.26 (step @p209 :rule cong :premises (@p208 @p203) :args ((tptp.sdtpldt0 @t119 @t110))) % 1.00/1.26 (step @p210 :rule refl :args (@t110)) % 1.00/1.26 (step @p211 :rule symm :premises (@p208)) % 1.00/1.26 (step @p212 :rule cong :premises (@p211 @p210) :args (@t111)) % 1.00/1.26 (step @p213 :rule symm :premises (@p162)) % 1.00/1.26 (step @p214 :rule refl :args (@t55)) % 1.00/1.26 (step @p215 :rule cong :premises (@p28 @p214) :args (@t98)) % 1.00/1.26 (step @p216 :rule trans :premises (@p130 @p215 @p213 @p212 @p209)) % 1.00/1.26 (step-pop @p245 :rule scope :premises (@p216)) % 1.00/1.26 (step-pop @p246 :rule scope :premises (@p245)) % 1.00/1.26 (step-pop @p247 :rule scope :premises (@p246)) % 1.00/1.26 (step-pop @p248 :rule scope :premises (@p247)) % 1.00/1.26 (step-pop @p249 :rule scope :premises (@p248)) % 1.00/1.26 (step-pop @p250 :rule scope :premises (@p249)) % 1.00/1.26 (step-pop @p251 :rule scope :premises (@p250)) % 1.00/1.26 (step-pop @p252 :rule scope :premises (@p251)) % 1.00/1.26 (step-pop @p253 :rule scope :premises (@p252)) % 1.00/1.26 (step-pop @p254 :rule scope :premises (@p253)) % 1.00/1.26 (step @p217 :rule process_scope :premises (@p254) :args (@t58)) % 1.00/1.26 (step @p228 :rule implies_elim :premises (@p217)) % 1.00/1.26 (step @p229 :rule cnf_and_neg :args (@t135)) % 1.00/1.26 (step @p230 :rule resolution :premises (@p229 @p228) :args (true @t135)) % 1.00/1.26 (step @p231 :rule reordering :premises (@p230) :args ((or @t58 (not @t133) (not @t134) (not @t60) (not @t69) (not @t91) (not @t99) (not @t120) (not @t112) (not @t126) (not @t131)))) % 1.00/1.26 (step @p232 false :rule chain_m_resolution :premises (@p231 @p186 @p182 @p170 @p162 @p130 @p105 @p66 @p49 @p26 @p31 @p29) :args (false (@list false false false false false false false false true false false) (@list @t131 @t126 @t120 @t112 @t99 @t91 @t69 @t60 @t58 @t134 @t133))) % 1.00/1.26 ) % 1.00/1.26 % SZS output end Proof % 1.00/1.26 % cvc5 exiting %------------------------------------------------------------------------------