%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT078_1 : TPTP v9.2.1. Released v6.1.0. % 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 08:14:28 AM UTC 2026 % Result : Theorem 60.91s 61.59s % Output : Proof 60.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT078_1 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 : Mon Jun 1 22:28:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 60.91/61.59 --- Run --finite-model-find --decision=internal at 45... % 60.91/61.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 60.91/61.59 --- Run --no-e-matching --full-saturate-quant at 45... % 60.91/61.59 % SZS status Theorem % 60.91/61.59 % SZS output start Proof % 60.91/61.59 ( % 60.91/61.59 (declare-sort tptp.array 0) % 60.91/61.59 (declare-const tptp.rev (-> tptp.array Int tptp.array)) % 60.91/61.59 (declare-const tptp.distinct (-> tptp.array Int Bool)) % 60.91/61.59 (declare-const tptp.sorted (-> tptp.array Int Bool)) % 60.91/61.59 (declare-const tptp.max (-> tptp.array Int Int)) % 60.91/61.59 (declare-const tptp.init (-> Int tptp.array)) % 60.91/61.59 (declare-const tptp.inRange (-> tptp.array Int Int Bool)) % 60.91/61.59 (declare-const tptp.read (-> tptp.array Int Int)) % 60.91/61.59 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 60.91/61.59 (define @t1 () (@var "V" Int)) % 60.91/61.59 (define @t2 () (@var "I" Int)) % 60.91/61.59 (define @t3 () (@var "A" tptp.array)) % 60.91/61.59 (define @t4 () (tptp.write @t3 @t2 @t1)) % 60.91/61.59 (define @t5 () (tptp.read @t4 @t2)) % 60.91/61.59 (define @t6 () (= @t5 @t1)) % 60.91/61.59 (define @t7 () (@list @t3 @t2 @t1)) % 60.91/61.59 (define @t8 () (forall @t7 @t6)) % 60.91/61.59 (define @t9 () (@var "J" Int)) % 60.91/61.59 (define @t10 () (tptp.read @t3 @t9)) % 60.91/61.59 (define @t11 () (= @t2 @t9)) % 60.91/61.59 (define @t12 () (@var "B" tptp.array)) % 60.91/61.59 (define @t13 () (tptp.read @t12 @t2)) % 60.91/61.59 (define @t14 () (tptp.read @t3 @t2)) % 60.91/61.59 (define @t15 () (@list @t2)) % 60.91/61.59 (define @t16 () (tptp.read (tptp.init @t1) @t2)) % 60.91/61.59 (define @t17 () (= @t16 @t1)) % 60.91/61.59 (define @t18 () (@list @t1 @t2)) % 60.91/61.59 (define @t19 () (forall @t18 @t17)) % 60.91/61.59 (define @t20 () (@var "W" Int)) % 60.91/61.59 (define @t21 () (@var "N" Int)) % 60.91/61.59 (define @t22 () (>= @t2 0)) % 60.91/61.59 (define @t23 () (> @t21 @t2)) % 60.91/61.59 (define @t24 () (and @t23 @t22)) % 60.91/61.59 (define @t25 () (and (<= 0 @t2) (< @t2 @t21) (< @t2 @t9) (< @t9 @t21))) % 60.91/61.59 (define @t26 () (=> @t25 (<= @t14 @t10))) % 60.91/61.59 (define @t27 () (@list @t2 @t9)) % 60.91/61.59 (define @t28 () (forall @t27 @t26)) % 60.91/61.59 (define @t29 () (tptp.sorted @t3 @t21)) % 60.91/61.59 (define @t30 () (= @t29 @t28)) % 60.91/61.59 (define @t31 () (@list @t3 @t21)) % 60.91/61.59 (define @t32 () (forall @t31 @t30)) % 60.91/61.59 (define @t33 () (@var "R" Int)) % 60.91/61.59 (define @t34 () (= @t14 @t10)) % 60.91/61.59 (define @t35 () (=> @t34 @t11)) % 60.91/61.59 (define @t36 () (>= @t9 0)) % 60.91/61.59 (define @t37 () (and @t23 (> @t21 @t9) @t36 @t22)) % 60.91/61.59 (define @t38 () (=> @t37 @t35)) % 60.91/61.59 (define @t39 () (forall @t27 @t38)) % 60.91/61.59 (define @t40 () (tptp.distinct @t3 @t21)) % 60.91/61.59 (define @t41 () (= @t40 @t39)) % 60.91/61.59 (define @t42 () (forall @t31 @t41)) % 60.91/61.59 (define @t43 () (>= @t2 @t21)) % 60.91/61.59 (define @t44 () (and @t29 (> @t21 0))) % 60.91/61.59 (define @t45 () (=> @t44 @t40)) % 60.91/61.59 (define @t46 () (forall @t31 @t45)) % 60.91/61.59 (define @t47 () (= @t1 @t5)) % 60.91/61.59 (define @t48 () (@const 0 tptp.array)) % 60.91/61.59 (define @t49 () (tptp.read (tptp.write @t48 0 0) 0)) % 60.91/61.59 (define @t50 () (= @t49 0)) % 60.91/61.59 (define @t51 () (= 0 @t49)) % 60.91/61.59 (define @t52 () (forall @t7 @t47)) % 60.91/61.59 (define @t53 () (@list false)) % 60.91/61.59 (define @t54 () (= @t1 @t16)) % 60.91/61.59 (define @t55 () (tptp.init 0)) % 60.91/61.59 (define @t56 () (tptp.read @t55 0)) % 60.91/61.59 (define @t57 () (= @t56 0)) % 60.91/61.59 (define @t58 () (= 0 @t56)) % 60.91/61.59 (define @t59 () (forall @t18 @t54)) % 60.91/61.59 (define @t60 () (@list 0 0)) % 60.91/61.59 (define @t61 () (@list @t59)) % 60.91/61.59 (define @t62 () (tptp.read @t55 1)) % 60.91/61.59 (define @t63 () (= @t62 0)) % 60.91/61.59 (define @t64 () (= 0 @t62)) % 60.91/61.59 (define @t65 () (@list 0 1)) % 60.91/61.59 (define @t66 () (= @t10 @t14)) % 60.91/61.59 (define @t67 () (not @t66)) % 60.91/61.59 (define @t68 () (not @t22)) % 60.91/61.59 (define @t69 () (not @t36)) % 60.91/61.59 (define @t70 () (* -1 @t21)) % 60.91/61.59 (define @t71 () (+ @t9 @t70)) % 60.91/61.59 (define @t72 () (>= @t71 0)) % 60.91/61.59 (define @t73 () (+ @t2 @t70)) % 60.91/61.59 (define @t74 () (>= @t73 0)) % 60.91/61.59 (define @t75 () (or @t74 @t72 @t69 @t68 @t67 @t11)) % 60.91/61.59 (define @t76 () (not @t72)) % 60.91/61.59 (define @t77 () (not @t76)) % 60.91/61.59 (define @t78 () (not @t74)) % 60.91/61.59 (define @t79 () (not @t78)) % 60.91/61.59 (define @t80 () (or @t79 @t77 @t69 @t68)) % 60.91/61.59 (define @t81 () (=> @t66 @t11)) % 60.91/61.59 (define @t82 () (and @t78 @t76 @t36 @t22)) % 60.91/61.59 (define @t83 () (- @t10 @t14)) % 60.91/61.59 (define @t84 () (>= @t9 @t21)) % 60.91/61.59 (define @t85 () (not @t84)) % 60.91/61.59 (define @t86 () (not @t43)) % 60.91/61.59 (define @t87 () (tptp.read @t55 @t9)) % 60.91/61.59 (define @t88 () (tptp.read @t55 @t2)) % 60.91/61.59 (define @t89 () (= @t88 @t87)) % 60.91/61.59 (define @t90 () (= @t87 @t88)) % 60.91/61.59 (define @t91 () (not @t90)) % 60.91/61.59 (define @t92 () (+ -2 @t9)) % 60.91/61.59 (define @t93 () (>= @t9 2)) % 60.91/61.59 (define @t94 () (* -1 2)) % 60.91/61.59 (define @t95 () (+ @t9 @t94)) % 60.91/61.59 (define @t96 () (>= @t95 0)) % 60.91/61.59 (define @t97 () (+ -2 @t2)) % 60.91/61.59 (define @t98 () (>= @t2 2)) % 60.91/61.59 (define @t99 () (+ @t2 @t94)) % 60.91/61.59 (define @t100 () (>= @t99 0)) % 60.91/61.59 (define @t101 () (or @t100 @t96 @t69 @t68 @t91 @t11)) % 60.91/61.59 (define @t102 () (forall @t27 @t101)) % 60.91/61.59 (define @t103 () (tptp.distinct @t55 2)) % 60.91/61.59 (define @t104 () (= @t103 @t102)) % 60.91/61.59 (define @t105 () (forall @t31 (= @t40 (forall @t27 @t75)))) % 60.91/61.59 (define @t106 () (@list @t55 2)) % 60.91/61.59 (define @t107 () (forall @t27 (or @t98 @t93 @t69 @t68 (not @t89) @t11))) % 60.91/61.59 (define @t108 () (= @t103 @t107)) % 60.91/61.59 (define @t109 () (>= @t21 1)) % 60.91/61.59 (define @t110 () (not @t109)) % 60.91/61.59 (define @t111 () (not @t29)) % 60.91/61.59 (define @t112 () (or @t111 @t110 @t40)) % 60.91/61.59 (define @t113 () (and @t29 @t109)) % 60.91/61.59 (define @t114 () (+ 0 1)) % 60.91/61.59 (define @t115 () (>= @t21 @t114)) % 60.91/61.59 (define @t116 () (tptp.sorted @t55 2)) % 60.91/61.59 (define @t117 () (not @t116)) % 60.91/61.59 (define @t118 () (or @t117 @t103)) % 60.91/61.59 (define @t119 () (>= 2 1)) % 60.91/61.59 (define @t120 () (not @t119)) % 60.91/61.59 (define @t121 () (or @t117 @t120 @t103)) % 60.91/61.59 (define @t122 () (forall @t31 @t112)) % 60.91/61.59 (define @t123 () (+ @t10 (* -1 @t14))) % 60.91/61.59 (define @t124 () (>= @t123 0)) % 60.91/61.59 (define @t125 () (+ @t2 (* -1 @t9))) % 60.91/61.59 (define @t126 () (>= @t125 0)) % 60.91/61.59 (define @t127 () (or @t68 @t74 @t126 @t72 @t124)) % 60.91/61.59 (define @t128 () (not @t126)) % 60.91/61.59 (define @t129 () (not @t128)) % 60.91/61.59 (define @t130 () (or @t68 @t79 @t129 @t77)) % 60.91/61.59 (define @t131 () (and @t22 @t78 @t128 @t76)) % 60.91/61.59 (define @t132 () (>= @t2 @t9)) % 60.91/61.59 (define @t133 () (* -1 @t88)) % 60.91/61.59 (define @t134 () (+ @t133 @t87)) % 60.91/61.59 (define @t135 () (+ @t88 (* -1 @t87))) % 60.91/61.59 (define @t136 () (+ @t135 1)) % 60.91/61.59 (define @t137 () (+ @t87 @t133)) % 60.91/61.59 (define @t138 () (>= @t137 0)) % 60.91/61.59 (define @t139 () (or @t68 @t100 @t126 @t96 @t138)) % 60.91/61.59 (define @t140 () (forall @t27 @t139)) % 60.91/61.59 (define @t141 () (= @t116 @t140)) % 60.91/61.59 (define @t142 () (forall @t31 (= @t29 (forall @t27 @t127)))) % 60.91/61.59 (define @t143 () (forall @t27 (or @t68 @t98 @t126 @t93 (not (>= @t135 1))))) % 60.91/61.59 (define @t144 () (= @t116 @t143)) % 60.91/61.59 (define @t145 () (@quantifiers_skolemize @t143 1)) % 60.91/61.59 (define @t146 () (tptp.read @t55 @t145)) % 60.91/61.59 (define @t147 () (= @t146 0)) % 60.91/61.59 (define @t148 () (= 0 @t146)) % 60.91/61.59 (define @t149 () (@quantifiers_skolemize @t143 0)) % 60.91/61.59 (define @t150 () (tptp.read @t55 @t149)) % 60.91/61.59 (define @t151 () (= @t150 0)) % 60.91/61.59 (define @t152 () (= 0 @t150)) % 60.91/61.59 (define @t153 () (* -1 @t146)) % 60.91/61.59 (define @t154 () (+ @t150 @t153)) % 60.91/61.59 (define @t155 () (>= @t154 1)) % 60.91/61.59 (define @t156 () (* -1 0)) % 60.91/61.59 (define @t157 () (* -1 1)) % 60.91/61.59 (define @t158 () (+ @t157 @t156 0)) % 60.91/61.59 (define @t159 () (+ (* -1 @t150) @t146)) % 60.91/61.59 (define @t160 () (* -1 @t154)) % 60.91/61.59 (define @t161 () (+ @t160 @t153 @t150)) % 60.91/61.59 (define @t162 () (not @t155)) % 60.91/61.59 (define @t163 () (@list false false)) % 60.91/61.59 (define @t164 () (or (not (>= @t149 0)) (>= @t149 2) (>= (+ @t149 (* -1 @t145)) 0) (>= @t145 2) @t162)) % 60.91/61.59 (define @t165 () (not @t164)) % 60.91/61.59 (define @t166 () (not @t143)) % 60.91/61.59 (define @t167 () (= @t56 @t62)) % 60.91/61.59 (define @t168 () (not @t167)) % 60.91/61.59 (define @t169 () (= 0 1)) % 60.91/61.59 (define @t170 () (>= 0 0)) % 60.91/61.59 (define @t171 () (not @t170)) % 60.91/61.59 (define @t172 () (>= 1 0)) % 60.91/61.59 (define @t173 () (not @t172)) % 60.91/61.59 (define @t174 () (>= 1 2)) % 60.91/61.59 (define @t175 () (>= 0 2)) % 60.91/61.59 (define @t176 () (or @t175 @t174 @t173 @t171 @t168 @t169)) % 60.91/61.59 (define @t177 () (not @t63)) % 60.91/61.59 (define @t178 () (not @t57)) % 60.91/61.59 (define @t179 () (not @t50)) % 60.91/61.59 (define @t180 () (and @t168 @t57 @t50 @t63)) % 60.91/61.59 (assume @p1 @t8) % 60.91/61.59 (assume @p2 (forall (@list @t3 @t2 @t9 @t1) (or @t11 (= (tptp.read @t4 @t9) @t10)))) % 60.91/61.59 (assume @p3 (forall (@list @t3 @t12) (=> (forall @t15 (= @t14 @t13)) (= @t3 @t12)))) % 60.91/61.59 (assume @p4 @t19) % 60.91/61.59 (assume @p5 (forall (@list @t3 @t21 @t20) (=> (and (forall @t15 (=> @t24 (<= @t14 @t20))) (exists @t15 (and @t23 @t22 (= @t14 @t20)))) (= (tptp.max @t3 @t21) @t20)))) % 60.91/61.59 (assume @p6 @t32) % 60.91/61.59 (assume @p7 (forall (@list @t3 @t33 @t21) (= (tptp.inRange @t3 @t33 @t21) (forall @t15 (=> @t24 (and (>= @t33 @t14) (>= @t14 0))))))) % 60.91/61.59 (assume @p8 @t42) % 60.91/61.59 (assume @p9 (forall (@list @t3 @t12 @t21) (=> (forall @t15 (or (and @t22 @t23 (= @t13 (tptp.read @t3 (- @t21 (+ @t2 1))))) (and (or (> 0 @t2) @t43) (= @t13 @t14)))) (= (tptp.rev @t3 @t21) @t12)))) % 60.91/61.59 (assume @p10 (not (not @t46))) % 60.91/61.59 (assume @p11 true) % 60.91/61.59 (step @p12 :rule arith_poly_norm :args ((= (* 1 (- @t5 @t1)) (* -1 (- @t1 @t5))))) % 60.91/61.59 (step @p13 :rule arith_poly_norm_rel :premises (@p12) :args ((= @t6 @t47))) % 60.91/61.59 (step @p14 :rule cong :premises (@p13) :args (@t8)) % 60.91/61.59 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 60.91/61.59 (step @p16 :rule arith_poly_norm :args ((= (* 1 (- 0 @t49)) (* -1 (- @t49 0))))) % 60.91/61.59 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= @t51 @t50))) % 60.91/61.59 (step @p18 :rule refl :args (@t52)) % 60.91/61.59 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t52 @t51))) % 60.91/61.59 (assume-push @p399 @t52) % 60.91/61.59 (step @p21 :rule instantiate :premises (@p15) :args ((@list @t48 0 0))) % 60.91/61.59 (step-pop @p400 :rule scope :premises (@p21)) % 60.91/61.59 (step @p22 :rule process_scope :premises (@p400) :args (@t51)) % 60.91/61.59 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 60.91/61.59 (step @p25 :rule implies_elim :premises (@p24)) % 60.91/61.59 (step @p26 :rule chain_m_resolution :premises (@p25 @p15) :args (@t50 @t53 (@list @t52))) % 60.91/61.59 (step @p27 :rule arith_poly_norm :args ((= (* 1 (- @t16 @t1)) (* -1 (- @t1 @t16))))) % 60.91/61.59 (step @p28 :rule arith_poly_norm_rel :premises (@p27) :args ((= @t17 @t54))) % 60.91/61.59 (step @p29 :rule cong :premises (@p28) :args (@t19)) % 60.91/61.59 (step @p30 :rule eq_resolve :premises (@p4 @p29)) % 60.91/61.59 (step @p31 :rule arith_poly_norm :args ((= (* 1 (- 0 @t56)) (* -1 (- @t56 0))))) % 60.91/61.59 (step @p32 :rule arith_poly_norm_rel :premises (@p31) :args ((= @t58 @t57))) % 60.91/61.59 (step @p33 :rule refl :args (@t59)) % 60.91/61.59 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t59 @t58))) % 60.91/61.59 (assume-push @p401 @t59) % 60.91/61.59 (step @p36 :rule instantiate :premises (@p30) :args (@t60)) % 60.91/61.59 (step-pop @p402 :rule scope :premises (@p36)) % 60.91/61.59 (step @p37 :rule process_scope :premises (@p402) :args (@t58)) % 60.91/61.59 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 60.91/61.59 (step @p40 :rule implies_elim :premises (@p39)) % 60.91/61.59 (step @p41 :rule chain_m_resolution :premises (@p40 @p30) :args (@t57 @t53 @t61)) % 60.91/61.59 (step @p42 :rule arith_poly_norm :args ((= (* 1 (- 0 @t62)) (* -1 (- @t62 0))))) % 60.91/61.59 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= @t64 @t63))) % 60.91/61.59 (step @p44 :rule cong :premises (@p33 @p43) :args ((=> @t59 @t64))) % 60.91/61.59 (assume-push @p403 @t59) % 60.91/61.59 (step @p46 :rule instantiate :premises (@p30) :args (@t65)) % 60.91/61.59 (step-pop @p404 :rule scope :premises (@p46)) % 60.91/61.59 (step @p47 :rule process_scope :premises (@p404) :args (@t64)) % 60.91/61.59 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 60.91/61.59 (step @p50 :rule implies_elim :premises (@p49)) % 60.91/61.59 (step @p51 :rule chain_m_resolution :premises (@p50 @p30) :args (@t63 @t53 @t61)) % 60.91/61.59 (step @p52 :rule aci_norm :args ((= (or (or @t74 @t72 @t69 @t68) (or @t67 @t11)) @t75))) % 60.91/61.59 (step @p53 :rule bool-impl-elim :args (@t66 @t11)) % 60.91/61.59 (step @p54 :rule refl :args (@t68)) % 60.91/61.59 (step @p55 :rule refl :args (@t69)) % 60.91/61.59 (step @p56 :rule bool-double-not-elim :args (@t72)) % 60.91/61.59 (step @p57 :rule bool-double-not-elim :args (@t74)) % 60.91/61.59 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55 @p54) :args (@t80)) % 60.91/61.59 (step @p59 :rule aci_norm :args ((= (or @t79 (or @t77 (or @t69 @t68))) @t80))) % 60.91/61.59 (step @p60 :rule trans :premises (@p59 @p58)) % 60.91/61.59 (step @p61 :rule bool-and-de-morgan :args (@t36 @t22 true)) % 60.91/61.59 (step @p62 :rule refl :args (@t77)) % 60.91/61.59 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t77 (not (and @t36 @t22))))) % 60.91/61.59 (step @p64 :rule bool-and-de-morgan :args (@t76 @t36 (and @t22))) % 60.91/61.59 (step @p65 :rule trans :premises (@p64 @p63)) % 60.91/61.59 (step @p66 :rule refl :args (@t79)) % 60.91/61.59 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t79 (not (and @t76 @t36 @t22))))) % 60.91/61.59 (step @p68 :rule bool-and-de-morgan :args (@t78 @t76 (and @t36 @t22))) % 60.91/61.59 (step @p69 :rule trans :premises (@p68 @p67)) % 60.91/61.59 (step @p70 :rule trans :premises (@p69 @p60)) % 60.91/61.59 (step @p71 :rule nary_cong :premises (@p70 @p53) :args ((or (not @t82) @t81))) % 60.91/61.59 (step @p72 :rule trans :premises (@p71 @p52)) % 60.91/61.59 (step @p73 :rule bool-impl-elim :args (@t82 @t81)) % 60.91/61.59 (step @p74 :rule trans :premises (@p73 @p72)) % 60.91/61.59 (step @p75 :rule cong :premises (@p74) :args ((forall @t27 (=> @t82 @t81)))) % 60.91/61.59 (step @p76 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@t152 @t151))) % 60.91/61.59 (step @p270 :rule cong :premises (@p33 @p269) :args ((=> @t59 @t152))) % 60.91/61.59 (assume-push @p413 @t59) % 60.91/61.59 (step @p272 :rule instantiate :premises (@p30) :args ((@list 0 @t149))) % 60.91/61.59 (step-pop @p414 :rule scope :premises (@p272)) % 60.91/61.59 (step @p273 :rule process_scope :premises (@p414) :args (@t152)) % 60.91/61.59 (step @p275 :rule eq_resolve :premises (@p273 @p270)) % 60.91/61.59 (step @p276 :rule implies_elim :premises (@p275)) % 60.91/61.59 (step @p277 :rule chain_m_resolution :premises (@p276 @p30) :args (@t151 @t53 @t61)) % 60.91/61.59 (assume-push @p415 @t147) % 60.91/61.59 (assume-push @p416 @t151) % 60.91/61.59 (assume-push @p417 @t155) % 60.91/61.59 (step @p281 :rule evaluate :args ((<= 0 -1))) % 60.91/61.59 (step @p282 :rule evaluate :args ((+ -1 0 0))) % 60.91/61.59 (step @p283 :rule evaluate :args (@t156)) % 60.91/61.59 (step @p284 :rule evaluate :args (@t157)) % 60.91/61.59 (step @p285 :rule nary_cong :premises (@p284 @p283 @p117) :args (@t158)) % 60.91/61.59 (step @p286 :rule trans :premises (@p285 @p282)) % 60.91/61.59 (step @p287 :rule arith_poly_norm :args ((= (+ @t159 @t153 @t150) 0))) % 60.91/61.59 (step @p288 :rule refl :args (@t150)) % 60.91/61.59 (step @p289 :rule refl :args (@t153)) % 60.91/61.59 (step @p290 :rule arith_poly_norm :args ((= @t160 @t159))) % 60.91/61.59 (step @p291 :rule nary_cong :premises (@p290 @p289 @p288) :args (@t161)) % 60.91/61.59 (step @p292 :rule trans :premises (@p291 @p287)) % 60.91/61.59 (step @p293 :rule cong :premises (@p292 @p286) :args ((<= @t161 @t158))) % 60.91/61.59 (step @p294 :rule trans :premises (@p293 @p281)) % 60.91/61.59 (step @p295 :rule arith_mult_neg :args (-1 @t147)) % 60.91/61.59 (step @p296 :rule evaluate :args ((< -1 0))) % 60.91/61.59 (step @p297 :rule true_elim :premises (@p296)) % 60.91/61.59 (step @p298 :rule and_intro :premises (@p297 @p267)) % 60.91/61.59 (step @p299 :rule modus_ponens :premises (@p298 @p295)) % 60.91/61.59 (step @p300 :rule arith_mult_neg :args (-1 @t155)) % 60.91/61.59 (step @p301 :rule and_intro :premises (@p297 @p417)) % 60.91/61.59 (step @p302 :rule modus_ponens :premises (@p301 @p300)) % 60.91/61.59 (step @p303 :rule arith_sum_ub :premises (@p302 @p299 @p277)) % 60.91/61.59 (step @p304 false :rule eq_resolve :premises (@p303 @p294)) % 60.91/61.59 (step-pop @p418 :rule scope :premises (@p304)) % 60.91/61.59 (step-pop @p419 :rule scope :premises (@p418)) % 60.91/61.59 (step-pop @p420 :rule scope :premises (@p419)) % 60.91/61.59 (step @p305 :rule process_scope :premises (@p420) :args (false)) % 60.91/61.59 (step @p309 :rule not_and :premises (@p305)) % 60.91/61.59 (step @p310 :rule reordering :premises (@p309) :args ((or @t162 (not @t151) (not @t147)))) % 60.91/61.59 (step @p311 :rule chain_m_resolution :premises (@p310 @p277 @p267) :args (@t162 @t163 (@list @t151 @t147))) % 60.91/61.59 (step @p312 :rule bool-double-not-elim :args (@t155)) % 60.91/61.59 (step @p313 :rule refl :args (@t164)) % 60.91/61.59 (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or @t164 (not @t162)))) % 60.91/61.59 (step @p315 :rule cnf_or_neg :args (@t164 4)) % 60.91/61.59 (step @p316 :rule eq_resolve :premises (@p315 @p314)) % 60.91/61.59 (step @p317 :rule reordering :premises (@p316) :args ((or @t155 @t164))) % 60.91/61.59 (step @p318 :rule chain_m_resolution :premises (@p317 @p311) :args (@t164 (@list true) (@list @t155))) % 60.91/61.59 (step @p319 :rule refl :args (@t165)) % 60.91/61.59 (step @p320 :rule bool-double-not-elim :args (@t143)) % 60.91/61.59 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or (not @t166) @t165))) % 60.91/61.59 (assume-push @p421 @t166) % 60.91/61.59 (step @p323 :rule skolemize :premises (@p421)) % 60.91/61.59 (step-pop @p422 :rule scope :premises (@p323)) % 60.91/61.59 (step @p324 :rule process_scope :premises (@p422) :args (@t165)) % 60.91/61.59 (step @p326 :rule implies_elim :premises (@p324)) % 60.91/61.59 (step @p327 :rule eq_resolve :premises (@p326 @p321)) % 60.91/61.59 (step @p328 :rule chain_m_resolution :premises (@p327 @p318) :args (@t143 @t53 (@list @t164))) % 60.91/61.59 (step @p329 :rule cnf_equiv_pos2 :args (@t144)) % 60.91/61.59 (step @p330 :rule reordering :premises (@p329) :args ((or @t116 @t166 (not @t144)))) % 60.91/61.59 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p257) :args (@t116 @t163 (@list @t143 @t144))) % 60.91/61.59 (step @p332 :rule cnf_or_pos :args (@t118)) % 60.91/61.59 (step @p333 :rule reordering :premises (@p332) :args ((or @t117 @t103 (not @t118)))) % 60.91/61.59 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p193) :args (@t103 @t163 (@list @t116 @t118))) % 60.91/61.59 (step @p335 :rule cnf_equiv_pos1 :args (@t108)) % 60.91/61.59 (step @p336 :rule reordering :premises (@p335) :args ((or (not @t103) @t107 (not @t108)))) % 60.91/61.59 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p145) :args (@t107 @t163 (@list @t103 @t108))) % 60.91/61.59 (step @p338 :rule aci_norm :args ((= (or false false false false @t168 false) @t168))) % 60.91/61.59 (step @p339 :rule evaluate :args (@t169)) % 60.91/61.59 (step @p340 :rule refl :args (@t168)) % 60.91/61.59 (step @p341 :rule evaluate :args (@t170)) % 60.91/61.59 (step @p342 :rule cong :premises (@p341) :args (@t171)) % 60.91/61.59 (step @p343 :rule trans :premises (@p342 @p178)) % 60.91/61.59 (step @p344 :rule evaluate :args (@t172)) % 60.91/61.59 (step @p345 :rule cong :premises (@p344) :args (@t173)) % 60.91/61.59 (step @p346 :rule trans :premises (@p345 @p178)) % 60.91/61.59 (step @p347 :rule evaluate :args (@t174)) % 60.91/61.59 (step @p348 :rule evaluate :args (@t175)) % 60.91/61.59 (step @p349 :rule nary_cong :premises (@p348 @p347 @p346 @p343 @p340 @p339) :args (@t176)) % 60.91/61.59 (step @p350 :rule trans :premises (@p349 @p338)) % 60.91/61.59 (step @p351 :rule refl :args (@t107)) % 60.91/61.59 (step @p352 :rule cong :premises (@p351 @p350) :args ((=> @t107 @t176))) % 60.91/61.59 (assume-push @p423 @t107) % 60.91/61.59 (step @p354 :rule instantiate :premises (@p423) :args (@t65)) % 60.91/61.59 (step-pop @p424 :rule scope :premises (@p354)) % 60.91/61.59 (step @p355 :rule process_scope :premises (@p424) :args (@t176)) % 60.91/61.59 (step @p357 :rule eq_resolve :premises (@p355 @p352)) % 60.91/61.59 (step @p358 :rule implies_elim :premises (@p357)) % 60.91/61.59 (step @p359 :rule reordering :premises (@p358) :args ((or @t168 (not @t107)))) % 60.91/61.59 (step @p360 :rule chain_m_resolution :premises (@p359 @p337) :args (@t168 @t53 (@list @t107))) % 60.91/61.59 (step @p361 :rule bool-double-not-elim :args (@t167)) % 60.91/61.59 (step @p362 :rule refl :args (@t177)) % 60.91/61.59 (step @p363 :rule refl :args (@t178)) % 60.91/61.59 (step @p364 :rule refl :args (@t179)) % 60.91/61.59 (step @p365 :rule nary_cong :premises (@p364 @p363 @p362 @p361) :args ((or @t179 @t178 @t177 (not @t168)))) % 60.91/61.59 (assume-push @p425 @t168) % 60.91/61.59 (assume-push @p426 @t57) % 60.91/61.59 (assume-push @p427 @t50) % 60.91/61.59 (assume-push @p428 @t63) % 60.91/61.59 (step @p370 :rule evaluate :args ((= true false))) % 60.91/61.59 (step @p371 :rule false_intro :premises (@p425)) % 60.91/61.59 (step @p46 :rule instantiate :premises (@p30) :args (@t65)) % 60.91/61.59 (step @p36 :rule instantiate :premises (@p30) :args (@t60)) % 60.91/61.59 (step @p372 :rule trans :premises (@p26 @p36)) % 60.91/61.59 (step @p373 :rule symm :premises (@p372)) % 60.91/61.59 (step @p374 :rule trans :premises (@p373 @p26 @p46)) % 60.91/61.59 (step @p375 :rule true_intro :premises (@p374)) % 60.91/61.59 (step @p376 :rule symm :premises (@p375)) % 60.91/61.59 (step @p377 :rule trans :premises (@p376 @p371)) % 60.91/61.59 (step @p378 false :rule eq_resolve :premises (@p377 @p370)) % 60.91/61.59 (step-pop @p429 :rule scope :premises (@p378)) % 60.91/61.59 (step-pop @p430 :rule scope :premises (@p429)) % 60.91/61.59 (step-pop @p431 :rule scope :premises (@p430)) % 60.91/61.59 (step-pop @p432 :rule scope :premises (@p431)) % 60.91/61.59 (step @p379 :rule process_scope :premises (@p432) :args (false)) % 60.91/61.59 (assume-push @p433 @t50) % 60.91/61.59 (assume-push @p434 @t57) % 60.91/61.59 (assume-push @p435 @t63) % 60.91/61.59 (assume-push @p436 @t168) % 60.91/61.59 (step @p388 :rule and_intro :premises (@p436 @p41 @p26 @p51)) % 60.91/61.59 (step-pop @p437 :rule scope :premises (@p388)) % 60.91/61.59 (step-pop @p438 :rule scope :premises (@p437)) % 60.91/61.59 (step-pop @p439 :rule scope :premises (@p438)) % 60.91/61.59 (step-pop @p440 :rule scope :premises (@p439)) % 60.91/61.59 (step @p389 :rule process_scope :premises (@p440) :args (@t180)) % 60.91/61.59 (step @p394 :rule implies_elim :premises (@p389)) % 60.91/61.59 (step @p395 :rule resolution :premises (@p394 @p379) :args (true @t180)) % 60.91/61.59 (step @p396 :rule not_and :premises (@p395)) % 60.91/61.59 (step @p397 :rule eq_resolve :premises (@p396 @p365)) % 60.91/61.59 (step @p398 false :rule chain_m_resolution :premises (@p397 @p360 @p51 @p41 @p26) :args (false (@list true false false false) (@list @t167 @t63 @t57 @t50))) % 60.91/61.59 ) % 60.91/61.59 % SZS output end Proof % 60.91/61.60 % cvc5 exiting %------------------------------------------------------------------------------