%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA049_1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:43:29 AM UTC 2026 % Result : Theorem 115.51s 115.78s % Output : Proof 107.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA049_1 : TPTP v9.2.1. Released v7.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:04:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_ARI % 115.51/115.78 --- Run --finite-model-find --decision=internal at 45... % 115.51/115.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 115.51/115.78 --- Run --no-e-matching --full-saturate-quant at 45... % 115.51/115.78 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 115.51/115.78 % SZS status Theorem % 115.51/115.78 % SZS output start Proof % 115.51/115.78 ( % 115.51/115.78 (declare-const tptp.mylk (-> Int Int)) % 115.51/115.78 (declare-const tptp.mysumr (-> Real Int Int Int Real)) % 115.51/115.78 (declare-const tptp.mysump (-> Real Int Int Int Real)) % 115.51/115.78 (declare-const tptp.imp (-> Real Int Int Real)) % 115.51/115.78 (declare-const tptp.dc (-> Real Int Int Real)) % 115.51/115.78 (declare-const tptp.ns (-> Int Int)) % 115.51/115.78 (declare-const tptp.lk (-> Int Int)) % 115.51/115.78 (declare-const tptp.problen Int) % 115.51/115.78 (declare-const tptp.recexp (-> Real Int Int Real)) % 115.51/115.78 (declare-const tptp.probsize Int) % 115.51/115.78 (define @t1 () (@var "S" Real)) % 115.51/115.78 (define @t2 () (@var "C" Int)) % 115.51/115.78 (define @t3 () (@var "Probsize" Int)) % 115.51/115.78 (define @t4 () (@var "Problen" Int)) % 115.51/115.78 (define @t5 () (tptp.lk 0)) % 115.51/115.78 (define @t6 () (@var "K" Int)) % 115.51/115.78 (define @t7 () (tptp.lk @t6)) % 115.51/115.78 (define @t8 () (- @t6 1)) % 115.51/115.78 (define @t9 () (tptp.lk @t8)) % 115.51/115.78 (define @t10 () (<= 1 @t6)) % 115.51/115.78 (define @t11 () (and @t10 (<= @t6 tptp.problen))) % 115.51/115.78 (define @t12 () (@list @t6)) % 115.51/115.78 (define @t13 () (- tptp.problen 1)) % 115.51/115.78 (define @t14 () (tptp.ns @t2)) % 115.51/115.78 (define @t15 () (@var "D" Real)) % 115.51/115.78 (define @t16 () (@var "T" Int)) % 115.51/115.78 (define @t17 () (to_real @t16)) % 115.51/115.78 (define @t18 () (tptp.dc @t15 @t16 @t2)) % 115.51/115.78 (define @t19 () (@list @t15 @t16 @t2)) % 115.51/115.78 (define @t20 () (@list @t15 @t16)) % 115.51/115.78 (define @t21 () (- @t2 2)) % 115.51/115.78 (define @t22 () (tptp.mysump @t15 @t16 @t2 @t21)) % 115.51/115.78 (define @t23 () (- @t2 1)) % 115.51/115.78 (define @t24 () (tptp.lk @t23)) % 115.51/115.78 (define @t25 () (to_real @t24)) % 115.51/115.78 (define @t26 () (* @t15 @t25)) % 115.51/115.78 (define @t27 () (+ @t26 @t22)) % 115.51/115.78 (define @t28 () (tptp.imp @t15 @t16 @t2)) % 115.51/115.78 (define @t29 () (* @t17 @t28)) % 115.51/115.78 (define @t30 () (= @t29 @t27)) % 115.51/115.78 (define @t31 () (<= 1 @t2)) % 115.51/115.78 (define @t32 () (=> @t31 @t30)) % 115.51/115.78 (define @t33 () (forall @t19 @t32)) % 115.51/115.78 (define @t34 () (to_real @t7)) % 115.51/115.78 (define @t35 () (@list @t15 @t16 @t2 @t6)) % 115.51/115.78 (define @t36 () (tptp.mysumr @t15 @t16 @t2 @t21)) % 115.51/115.78 (define @t37 () (tptp.recexp @t15 @t16 @t23)) % 115.51/115.78 (define @t38 () (* @t15 @t37)) % 115.51/115.78 (define @t39 () (* @t38 @t25)) % 115.51/115.78 (define @t40 () (+ (+ @t17 @t39) @t36)) % 115.51/115.78 (define @t41 () (tptp.recexp @t15 @t16 @t2)) % 115.51/115.78 (define @t42 () (* @t17 @t41)) % 115.51/115.78 (define @t43 () (* @t28 @t42)) % 115.51/115.78 (define @t44 () (= @t43 @t40)) % 115.51/115.78 (define @t45 () (=> @t31 @t44)) % 115.51/115.78 (define @t46 () (forall @t19 @t45)) % 115.51/115.78 (define @t47 () (>= @t2 1)) % 115.51/115.78 (define @t48 () (+ -1 @t2)) % 115.51/115.78 (define @t49 () (to_real (tptp.lk @t48))) % 115.51/115.78 (define @t50 () (tptp.recexp @t15 @t16 @t48)) % 115.51/115.78 (define @t51 () (* @t15 @t50 @t49)) % 115.51/115.78 (define @t52 () (+ -2 @t2)) % 115.51/115.78 (define @t53 () (* @t28 @t41 @t17)) % 115.51/115.78 (define @t54 () (= @t53 (+ (tptp.mysumr @t15 @t16 @t2 @t52) @t51 @t17))) % 115.51/115.78 (define @t55 () (* @t15 @t50)) % 115.51/115.78 (define @t56 () (* -1 1)) % 115.51/115.78 (define @t57 () (+ @t2 @t56)) % 115.51/115.78 (define @t58 () (* -1 2)) % 115.51/115.78 (define @t59 () (+ @t2 @t58)) % 115.51/115.78 (define @t60 () (+ @t36 @t39 @t17)) % 115.51/115.78 (define @t61 () (* @t41 @t17)) % 115.51/115.78 (define @t62 () (tptp.mysumr 0/1 2 2 0)) % 115.51/115.78 (define @t63 () (* 1/2 @t62)) % 115.51/115.78 (define @t64 () (+ 1/1 @t63)) % 115.51/115.78 (define @t65 () (tptp.recexp 0/1 2 2)) % 115.51/115.78 (define @t66 () (tptp.imp 0/1 2 2)) % 115.51/115.78 (define @t67 () (* @t66 @t65)) % 115.51/115.78 (define @t68 () (= @t67 @t64)) % 115.51/115.78 (define @t69 () (- @t67 @t64)) % 115.51/115.78 (define @t70 () (+ 2/1 @t62)) % 115.51/115.78 (define @t71 () (* 2/1 @t67)) % 115.51/115.78 (define @t72 () (+ -1 2)) % 115.51/115.78 (define @t73 () (to_real (tptp.lk @t72))) % 115.51/115.78 (define @t74 () (* 0/1 (tptp.recexp 0/1 2 @t72) @t73)) % 115.51/115.78 (define @t75 () (+ -2 2)) % 115.51/115.78 (define @t76 () (tptp.mysumr 0/1 2 2 @t75)) % 115.51/115.78 (define @t77 () (+ @t76 @t74 2/1)) % 115.51/115.78 (define @t78 () (* @t66 @t65 2/1)) % 115.51/115.78 (define @t79 () (= @t78 @t77)) % 115.51/115.78 (define @t80 () (>= 2 1)) % 115.51/115.78 (define @t81 () (not @t80)) % 115.51/115.78 (define @t82 () (or @t81 @t79)) % 115.51/115.78 (define @t83 () (not @t47)) % 115.51/115.78 (define @t84 () (forall @t19 (or @t83 @t54))) % 115.51/115.78 (define @t85 () (to_real 2)) % 115.51/115.78 (define @t86 () (+ @t76 @t74 @t85)) % 115.51/115.78 (define @t87 () (* @t66 @t65 @t85)) % 115.51/115.78 (define @t88 () (= @t87 @t86)) % 115.51/115.78 (define @t89 () (@list 0/1 2 2)) % 115.51/115.78 (define @t90 () (@list false)) % 115.51/115.78 (define @t91 () (* @t15 @t49)) % 115.51/115.78 (define @t92 () (* @t28 @t17)) % 115.51/115.78 (define @t93 () (= @t92 (+ @t91 (tptp.mysump @t15 @t16 @t2 @t52)))) % 115.51/115.78 (define @t94 () (tptp.mysump 0/1 2 2 0)) % 115.51/115.78 (define @t95 () (* 1/2 @t94)) % 115.51/115.78 (define @t96 () (= @t66 @t95)) % 115.51/115.78 (define @t97 () (- @t66 @t95)) % 115.51/115.78 (define @t98 () (* 2/1 @t66)) % 115.51/115.78 (define @t99 () (tptp.mysump 0/1 2 2 @t75)) % 115.51/115.78 (define @t100 () (* 0/1 @t73)) % 115.51/115.78 (define @t101 () (+ @t100 @t99)) % 115.51/115.78 (define @t102 () (* @t66 2/1)) % 115.51/115.78 (define @t103 () (= @t102 @t101)) % 115.51/115.78 (define @t104 () (or @t81 @t103)) % 115.51/115.78 (define @t105 () (forall @t19 (or @t83 @t93))) % 115.51/115.78 (define @t106 () (* @t66 @t85)) % 115.51/115.78 (define @t107 () (= @t106 @t101)) % 115.51/115.78 (define @t108 () (@list @t105)) % 115.51/115.78 (define @t109 () (* -1/1 @t66)) % 115.51/115.78 (define @t110 () (>= @t109 0/1)) % 115.51/115.78 (define @t111 () (= @t94 0/1)) % 115.51/115.78 (define @t112 () (not @t111)) % 115.51/115.78 (define @t113 () (not @t96)) % 115.51/115.78 (define @t114 () (not @t110)) % 115.51/115.78 (define @t115 () (* -1/2 @t94)) % 115.51/115.78 (define @t116 () (+ @t66 @t115)) % 115.51/115.78 (define @t117 () (= @t116 0/1)) % 115.51/115.78 (define @t118 () (>= 0/1 0/1)) % 115.51/115.78 (define @t119 () (+ 0/1 0/1 0/1)) % 115.51/115.78 (define @t120 () (* -1/1 0/1)) % 115.51/115.78 (define @t121 () (* 1/2 0/1)) % 115.51/115.78 (define @t122 () (+ 0/1 @t121 @t120)) % 115.51/115.78 (define @t123 () (+ @t109 @t115 @t95 @t66)) % 115.51/115.78 (define @t124 () (+ @t116 @t95 @t109)) % 115.51/115.78 (define @t125 () (>= @t124 @t122)) % 115.51/115.78 (define @t126 () (= (* -1/1 (- 0/1 @t66)) (* -1/1 (- @t109 0/1)))) % 115.51/115.78 (define @t127 () (>= 0/1 @t66)) % 115.51/115.78 (define @t128 () (= @t127 @t110)) % 115.51/115.78 (define @t129 () (< -1/1 0/1)) % 115.51/115.78 (define @t130 () (= (* 1/1 (- @t116 0/1)) (* 1/1 @t97))) % 115.51/115.78 (define @t131 () (= @t117 @t96)) % 115.51/115.78 (define @t132 () (and @t114 @t111 @t96)) % 115.51/115.78 (define @t133 () (= @t66 0/1)) % 115.51/115.78 (define @t134 () (not @t133)) % 115.51/115.78 (define @t135 () (* -1/2 0/1)) % 115.51/115.78 (define @t136 () (+ @t120 @t135 0/1)) % 115.51/115.78 (define @t137 () (+ @t109 @t95)) % 115.51/115.78 (define @t138 () (* -1/1 @t116)) % 115.51/115.78 (define @t139 () (+ @t138 @t115 @t66)) % 115.51/115.78 (define @t140 () (>= @t139 @t136)) % 115.51/115.78 (define @t141 () (< -1/2 0/1)) % 115.51/115.78 (define @t142 () (and @t134 @t110 @t111 @t96)) % 115.51/115.78 (define @t143 () (@list false false false)) % 115.51/115.78 (define @t144 () (= (* 0/1 @t65) 0/1)) % 115.51/115.78 (define @t145 () (= @t67 0/1)) % 115.51/115.78 (define @t146 () (= @t62 0/1)) % 115.51/115.78 (define @t147 () (* -1/1 1/1)) % 115.51/115.78 (define @t148 () (+ 0/1 @t135 @t147)) % 115.51/115.78 (define @t149 () (+ (* -1/1 @t67) @t63)) % 115.51/115.78 (define @t150 () (* -1/2 @t62)) % 115.51/115.78 (define @t151 () (+ @t67 @t150)) % 115.51/115.78 (define @t152 () (* -1/1 @t151)) % 115.51/115.78 (define @t153 () (+ @t67 @t150 @t152)) % 115.51/115.78 (define @t154 () (= @t151 1/1)) % 115.51/115.78 (define @t155 () (and @t68 @t146 @t145)) % 115.51/115.78 (assume @p1 (not (forall (@list @t1 @t2 @t4 @t3) (=> (and (<= 2 @t4) (<= @t4 50) (= tptp.problen @t4) (<= (* @t4 @t4) @t3) (<= @t3 10000) (= tptp.probsize @t3) (<= (* @t2 2) tptp.problen) (<= (to_real tptp.probsize) (tptp.recexp @t1 tptp.probsize 4)) (<= (/ 9 10) @t1) (<= @t1 10/1)) (<= @t1 1/1))))) % 115.51/115.78 (assume @p2 (= @t5 1)) % 115.51/115.78 (assume @p3 (forall @t12 (=> @t11 (<= @t9 @t7)))) % 115.51/115.78 (assume @p4 (= (tptp.ns 0) (+ @t5 (tptp.lk 1)))) % 115.51/115.78 (assume @p5 (= (tptp.ns tptp.problen) (+ (tptp.lk @t13) (tptp.lk tptp.problen)))) % 115.51/115.78 (assume @p6 (forall @t12 (=> (and @t10 (<= @t6 @t13)) (= (tptp.ns @t6) (+ (+ @t9 @t7) (tptp.lk (+ @t6 1))))))) % 115.51/115.78 (assume @p7 (forall @t19 (= (* @t18 (to_real (- @t16 @t14))) (- @t17 (* @t15 (to_real @t14)))))) % 115.51/115.78 (assume @p8 (forall @t20 (= (tptp.imp @t15 @t16 0) 0/1))) % 115.51/115.78 (assume @p9 @t33) % 115.51/115.78 (assume @p10 (forall @t19 (= (tptp.mysump @t15 @t16 @t2 0) 0/1))) % 115.51/115.78 (assume @p11 (forall @t35 (=> @t10 (= (tptp.mysump @t15 @t16 @t2 @t6) (+ (* @t18 @t34) (tptp.mysump @t15 @t16 @t2 @t8)))))) % 115.51/115.78 (assume @p12 (forall @t20 (= (tptp.recexp @t15 @t16 0) 0/1))) % 115.51/115.79 (assume @p13 @t46) % 115.51/115.79 (assume @p14 (= (tptp.mylk 0) 1)) % 115.51/115.79 (assume @p15 (forall @t12 (=> @t11 (= (tptp.mylk @t6) (+ @t7 (tptp.mylk @t8)))))) % 115.51/115.79 (assume @p16 (<= (tptp.mylk tptp.problen) tptp.probsize)) % 115.51/115.79 (assume @p17 (forall @t19 (= (tptp.mysumr @t15 @t16 @t2 0) 0/1))) % 115.51/115.79 (assume @p18 (forall @t35 (=> @t10 (= (tptp.mysumr @t15 @t16 @t2 @t6) (+ (* @t18 (* (tptp.recexp @t15 @t16 @t6) @t34)) (tptp.mysumr @t15 @t2 @t16 @t8)))))) % 115.51/115.79 (assume @p19 true) % 115.51/115.79 (step @p20 :rule bool-impl-elim :args (@t47 @t54)) % 115.51/115.79 (step @p21 :rule cong :premises (@p20) :args ((forall @t19 (=> @t47 @t54)))) % 115.51/115.79 (step @p22 :rule refl :args (@t17)) % 115.51/115.79 (step @p23 :rule arith_poly_norm :args ((= (* @t55 @t49) @t51))) % 115.51/115.79 (step @p24 :rule arith_poly_norm :args ((= (+ @t2 -1) @t48))) % 115.51/115.79 (step @p25 :rule evaluate :args (@t56)) % 115.51/115.79 (step @p26 :rule refl :args (@t2)) % 115.51/115.79 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t57)) % 115.51/115.79 (step @p28 :rule trans :premises (@p27 @p24)) % 115.51/115.79 (step @p29 :rule arith_poly_norm :args ((= @t23 @t57))) % 115.51/115.79 (step @p30 :rule trans :premises (@p29 @p28)) % 115.51/115.79 (step @p31 :rule cong :premises (@p30) :args (@t24)) % 115.51/115.79 (step @p32 :rule cong :premises (@p31) :args (@t25)) % 115.51/115.79 (step @p33 :rule arith_poly_norm :args ((= (* @t15 @t50) @t55))) % 115.51/115.79 (step @p34 :rule refl :args (@t16)) % 115.51/115.79 (step @p35 :rule refl :args (@t15)) % 115.51/115.79 (step @p36 :rule cong :premises (@p35 @p34 @p30) :args (@t37)) % 115.51/115.79 (step @p37 :rule nary_cong :premises (@p35 @p36) :args (@t38)) % 115.51/115.79 (step @p38 :rule trans :premises (@p37 @p33)) % 115.51/115.79 (step @p39 :rule nary_cong :premises (@p38 @p32) :args (@t39)) % 115.51/115.79 (step @p40 :rule trans :premises (@p39 @p23)) % 115.51/115.79 (step @p41 :rule arith_poly_norm :args ((= (+ @t2 -2) @t52))) % 115.51/115.79 (step @p42 :rule evaluate :args (@t58)) % 115.51/115.79 (step @p43 :rule nary_cong :premises (@p26 @p42) :args (@t59)) % 115.51/115.79 (step @p44 :rule trans :premises (@p43 @p41)) % 115.51/115.79 (step @p45 :rule arith_poly_norm :args ((= @t21 @t59))) % 115.51/115.79 (step @p46 :rule trans :premises (@p45 @p44)) % 115.51/115.79 (step @p47 :rule cong :premises (@p35 @p34 @p26 @p46) :args (@t36)) % 115.51/115.79 (step @p48 :rule nary_cong :premises (@p47 @p40 @p22) :args (@t60)) % 115.51/115.79 (step @p49 :rule arith_poly_norm :args ((= @t40 @t60))) % 115.51/115.79 (step @p50 :rule trans :premises (@p49 @p48)) % 115.51/115.79 (step @p51 :rule arith_poly_norm :args ((= (* @t28 @t61) @t53))) % 115.51/115.79 (step @p52 :rule arith_poly_norm :args ((= @t42 @t61))) % 115.51/115.79 (step @p53 :rule refl :args (@t28)) % 115.51/115.79 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t43)) % 115.51/115.79 (step @p55 :rule trans :premises (@p54 @p51)) % 115.51/115.79 (step @p56 :rule cong :premises (@p55 @p50) :args (@t44)) % 115.51/115.79 (step @p57 :rule arith-elim-leq :args (1 @t2)) % 115.51/115.79 (step @p58 :rule cong :premises (@p57 @p56) :args (@t45)) % 115.51/115.79 (step @p59 :rule cong :premises (@p58) :args (@t46)) % 115.51/115.79 (step @p60 :rule trans :premises (@p59 @p21)) % 115.51/115.79 (step @p61 :rule eq_resolve :premises (@p13 @p60)) % 115.51/115.79 (step @p62 :rule aci_norm :args ((= (or false @t68) @t68))) % 115.51/115.79 (step @p63 :rule arith_poly_norm :args ((= (* -1/1 (- @t71 @t70)) (* -2/1 @t69)))) % 115.51/115.79 (step @p64 :rule arith_poly_norm_rel :premises (@p63) :args ((= (= @t71 @t70) @t68))) % 115.51/115.79 (step @p65 :rule arith_poly_norm :args ((= (+ @t62 0/1 2/1) @t70))) % 115.51/115.79 (step @p66 :rule refl :args (2/1)) % 115.51/115.79 (step @p67 :rule arith_poly_norm :args ((= @t74 0/1))) % 115.51/115.79 (step @p68 :rule evaluate :args (@t75)) % 115.51/115.79 (step @p69 :rule refl :args (2)) % 115.51/115.79 (step @p70 :rule refl :args (0/1)) % 115.51/115.79 (step @p71 :rule cong :premises (@p70 @p69 @p69 @p68) :args (@t76)) % 115.51/115.79 (step @p72 :rule nary_cong :premises (@p71 @p67 @p66) :args (@t77)) % 115.51/115.79 (step @p73 :rule trans :premises (@p72 @p65)) % 115.51/115.79 (step @p74 :rule arith_poly_norm :args ((= @t78 @t71))) % 115.51/115.79 (step @p75 :rule cong :premises (@p74 @p73) :args (@t79)) % 115.51/115.79 (step @p76 :rule trans :premises (@p75 @p64)) % 115.51/115.79 (step @p77 :rule evaluate :args ((not true))) % 115.51/115.79 (step @p78 :rule evaluate :args (@t80)) % 115.51/115.79 (step @p79 :rule cong :premises (@p78) :args (@t81)) % 115.51/115.79 (step @p80 :rule trans :premises (@p79 @p77)) % 115.51/115.79 (step @p81 :rule nary_cong :premises (@p80 @p76) :args (@t82)) % 115.51/115.79 (step @p82 :rule trans :premises (@p81 @p62)) % 115.51/115.79 (step @p83 :rule refl :args (@t84)) % 115.51/115.79 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t84 @t82))) % 115.51/115.79 (assume-push @p345 @t84) % 115.51/115.79 (step @p86 :rule evaluate :args (@t85)) % 115.51/115.79 (step @p87 :rule refl :args (@t74)) % 115.51/115.79 (step @p88 :rule refl :args (@t76)) % 115.51/115.79 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args (@t86)) % 115.51/115.79 (step @p90 :rule refl :args (@t65)) % 115.51/115.79 (step @p91 :rule refl :args (@t66)) % 115.51/115.79 (step @p92 :rule nary_cong :premises (@p91 @p90 @p86) :args (@t87)) % 115.51/115.79 (step @p93 :rule cong :premises (@p92 @p89) :args (@t88)) % 115.51/115.79 (step @p94 :rule refl :args (@t81)) % 115.51/115.79 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t81 @t88))) % 115.51/115.79 (step @p96 :rule instantiate :premises (@p61) :args (@t89)) % 115.51/115.79 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 115.51/115.79 (step-pop @p346 :rule scope :premises (@p97)) % 115.51/115.79 (step @p98 :rule process_scope :premises (@p346) :args (@t82)) % 115.51/115.79 (step @p100 :rule eq_resolve :premises (@p98 @p84)) % 115.51/115.79 (step @p101 :rule implies_elim :premises (@p100)) % 115.51/115.79 (step @p102 :rule chain_m_resolution :premises (@p101 @p61) :args (@t68 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@p386 @t145) % 115.51/115.79 (step @p300 :rule evaluate :args ((<= 0/1 -1/1))) % 115.51/115.79 (step @p301 :rule evaluate :args ((+ 0/1 0/1 -1/1))) % 115.51/115.79 (step @p302 :rule evaluate :args (@t147)) % 115.51/115.79 (step @p229 :rule evaluate :args (@t135)) % 115.51/115.79 (step @p303 :rule nary_cong :premises (@p70 @p229 @p302) :args (@t148)) % 115.51/115.79 (step @p304 :rule trans :premises (@p303 @p301)) % 115.51/115.79 (step @p305 :rule arith_poly_norm :args ((= (+ @t67 @t150 @t149) 0/1))) % 115.51/115.79 (step @p306 :rule arith_poly_norm :args ((= @t152 @t149))) % 115.51/115.79 (step @p307 :rule refl :args (@t150)) % 115.51/115.79 (step @p308 :rule refl :args (@t67)) % 115.51/115.79 (step @p309 :rule nary_cong :premises (@p308 @p307 @p306) :args (@t153)) % 115.51/115.79 (step @p310 :rule trans :premises (@p309 @p305)) % 115.51/115.79 (step @p311 :rule cong :premises (@p310 @p304) :args ((<= @t153 @t148))) % 115.51/115.79 (step @p312 :rule trans :premises (@p311 @p300)) % 115.51/115.79 (step @p313 :rule arith_mult_neg :args (-1/1 @t154)) % 115.51/115.79 (step @p314 :rule arith_poly_norm :args ((= (* -1/1 (- @t151 1/1)) (* -1/1 @t69)))) % 115.51/115.79 (step @p315 :rule arith_poly_norm_rel :premises (@p314) :args ((= @t154 @t68))) % 115.51/115.79 (step @p316 :rule symm :premises (@p315)) % 115.51/115.79 (step @p317 :rule eq_resolve :premises (@p102 @p316)) % 107.03/115.80 (step @p184 :rule evaluate :args (@t129)) % 107.03/115.80 (step @p185 :rule true_elim :premises (@p184)) % 107.03/115.80 (step @p318 :rule and_intro :premises (@p185 @p317)) % 107.03/115.80 (step @p319 :rule modus_ponens :premises (@p318 @p313)) % 107.03/115.80 (step @p320 :rule arith_mult_neg :args (-1/2 @t146)) % 107.03/115.80 (step @p248 :rule evaluate :args (@t141)) % 107.03/115.80 (step @p249 :rule true_elim :premises (@p248)) % 107.03/115.80 (step @p321 :rule and_intro :premises (@p249 @p103)) % 107.03/115.80 (step @p322 :rule modus_ponens :premises (@p321 @p320)) % 107.03/115.80 (step @p323 :rule arith_sum_ub :premises (@p385 @p322 @p319)) % 107.03/115.80 (step @p324 false :rule eq_resolve :premises (@p323 @p312)) % 107.03/115.80 (step-pop @p387 :rule scope :premises (@p324)) % 107.03/115.80 (step @p325 :rule process_scope :premises (@p387) :args (false)) % 107.03/115.80 (step @p327 false :rule contra :premises (@p385 @p325)) % 107.03/115.80 (step-pop @p388 :rule scope :premises (@p327)) % 107.03/115.80 (step-pop @p389 :rule scope :premises (@p388)) % 107.03/115.80 (step-pop @p390 :rule scope :premises (@p389)) % 107.03/115.80 (step @p328 :rule process_scope :premises (@p390) :args (false)) % 107.03/115.80 (assume-push @p391 @t68) % 107.03/115.80 (assume-push @p392 @t145) % 107.03/115.80 (assume-push @p393 @t146) % 107.03/115.80 (step @p335 :rule and_intro :premises (@p102 @p103 @p392)) % 107.03/115.80 (step-pop @p394 :rule scope :premises (@p335)) % 107.03/115.80 (step-pop @p395 :rule scope :premises (@p394)) % 107.03/115.80 (step-pop @p396 :rule scope :premises (@p395)) % 107.03/115.80 (step @p336 :rule process_scope :premises (@p396) :args (@t155)) % 107.03/115.80 (step @p340 :rule implies_elim :premises (@p336)) % 107.03/115.80 (step @p341 :rule resolution :premises (@p340 @p328) :args (true @t155)) % 107.03/115.80 (step @p342 :rule not_and :premises (@p341)) % 107.03/115.80 (step @p343 :rule reordering :premises (@p342) :args ((or (not @t68) (not @t146) (not @t145)))) % 107.03/115.80 (step @p344 false :rule chain_m_resolution :premises (@p343 @p295 @p103 @p102) :args (false @t143 (@list @t145 @t146 @t68))) % 107.03/115.80 ) % 107.03/115.80 % SZS output end Proof % 107.03/115.80 % cvc5 exiting %------------------------------------------------------------------------------