%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA048_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 : n004.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 115.56s 115.85s % Output : Proof 115.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA048_1 : TPTP v9.2.1. Released v7.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.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 13:03:22 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 115.56/115.85 --- Run --finite-model-find --decision=internal at 45... % 115.56/115.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 115.56/115.85 --- Run --no-e-matching --full-saturate-quant at 45... % 115.56/115.85 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 115.56/115.85 % SZS status Theorem % 115.56/115.85 % SZS output start Proof % 115.56/115.85 ( % 115.56/115.85 (declare-const tptp.mylk (-> Int Int)) % 115.56/115.85 (declare-const tptp.mysumr (-> Real Int Int Int Real)) % 115.56/115.85 (declare-const tptp.mysump (-> Real Int Int Int Real)) % 115.56/115.85 (declare-const tptp.imp (-> Real Int Int Real)) % 115.56/115.85 (declare-const tptp.dc (-> Real Int Int Real)) % 115.56/115.85 (declare-const tptp.ns (-> Int Int)) % 115.56/115.85 (declare-const tptp.problen Int) % 115.56/115.85 (declare-const tptp.lk (-> Int Int)) % 115.56/115.85 (declare-const tptp.recexp (-> Real Int Int Real)) % 115.56/115.85 (declare-const tptp.probsize Int) % 115.56/115.85 (define @t1 () (@var "S" Real)) % 115.56/115.85 (define @t2 () (tptp.lk 0)) % 115.56/115.85 (define @t3 () (@var "K" Int)) % 115.56/115.85 (define @t4 () (tptp.lk @t3)) % 115.56/115.85 (define @t5 () (- @t3 1)) % 115.56/115.85 (define @t6 () (tptp.lk @t5)) % 115.56/115.85 (define @t7 () (<= 1 @t3)) % 115.56/115.85 (define @t8 () (and @t7 (<= @t3 tptp.problen))) % 115.56/115.85 (define @t9 () (@list @t3)) % 115.56/115.85 (define @t10 () (- tptp.problen 1)) % 115.56/115.85 (define @t11 () (@var "C" Int)) % 115.56/115.85 (define @t12 () (tptp.ns @t11)) % 115.56/115.85 (define @t13 () (@var "D" Real)) % 115.56/115.85 (define @t14 () (@var "T" Int)) % 115.56/115.85 (define @t15 () (to_real @t14)) % 115.56/115.85 (define @t16 () (tptp.dc @t13 @t14 @t11)) % 115.56/115.85 (define @t17 () (@list @t13 @t14 @t11)) % 115.56/115.85 (define @t18 () (@list @t13 @t14)) % 115.56/115.85 (define @t19 () (- @t11 2)) % 115.56/115.85 (define @t20 () (tptp.mysump @t13 @t14 @t11 @t19)) % 115.56/115.85 (define @t21 () (- @t11 1)) % 115.56/115.85 (define @t22 () (tptp.lk @t21)) % 115.56/115.85 (define @t23 () (to_real @t22)) % 115.56/115.85 (define @t24 () (* @t13 @t23)) % 115.56/115.85 (define @t25 () (+ @t24 @t20)) % 115.56/115.85 (define @t26 () (tptp.imp @t13 @t14 @t11)) % 115.56/115.85 (define @t27 () (* @t15 @t26)) % 115.56/115.85 (define @t28 () (= @t27 @t25)) % 115.56/115.85 (define @t29 () (<= 1 @t11)) % 115.56/115.85 (define @t30 () (=> @t29 @t28)) % 115.56/115.85 (define @t31 () (forall @t17 @t30)) % 115.56/115.85 (define @t32 () (to_real @t4)) % 115.56/115.85 (define @t33 () (@list @t13 @t14 @t11 @t3)) % 115.56/115.85 (define @t34 () (tptp.mysumr @t13 @t14 @t11 @t19)) % 115.56/115.85 (define @t35 () (tptp.recexp @t13 @t14 @t21)) % 115.56/115.85 (define @t36 () (* @t13 @t35)) % 115.56/115.85 (define @t37 () (* @t36 @t23)) % 115.56/115.85 (define @t38 () (+ (+ @t15 @t37) @t34)) % 115.56/115.85 (define @t39 () (tptp.recexp @t13 @t14 @t11)) % 115.56/115.85 (define @t40 () (* @t15 @t39)) % 115.56/115.85 (define @t41 () (* @t26 @t40)) % 115.56/115.85 (define @t42 () (= @t41 @t38)) % 115.56/115.85 (define @t43 () (=> @t29 @t42)) % 115.56/115.85 (define @t44 () (forall @t17 @t43)) % 115.56/115.85 (define @t45 () (>= @t11 1)) % 115.56/115.85 (define @t46 () (+ -1 @t11)) % 115.56/115.85 (define @t47 () (to_real (tptp.lk @t46))) % 115.56/115.85 (define @t48 () (tptp.recexp @t13 @t14 @t46)) % 115.56/115.85 (define @t49 () (* @t13 @t48 @t47)) % 115.56/115.85 (define @t50 () (+ -2 @t11)) % 115.56/115.85 (define @t51 () (* @t26 @t39 @t15)) % 115.56/115.85 (define @t52 () (= @t51 (+ (tptp.mysumr @t13 @t14 @t11 @t50) @t49 @t15))) % 115.56/115.85 (define @t53 () (* @t13 @t48)) % 115.56/115.85 (define @t54 () (* -1 1)) % 115.56/115.85 (define @t55 () (+ @t11 @t54)) % 115.56/115.85 (define @t56 () (* -1 2)) % 115.56/115.85 (define @t57 () (+ @t11 @t56)) % 115.56/115.85 (define @t58 () (+ @t34 @t37 @t15)) % 115.56/115.85 (define @t59 () (* @t39 @t15)) % 115.56/115.85 (define @t60 () (tptp.mysumr 0/1 2 2 0)) % 115.56/115.85 (define @t61 () (* 1/2 @t60)) % 115.56/115.85 (define @t62 () (+ 1/1 @t61)) % 115.56/115.85 (define @t63 () (tptp.recexp 0/1 2 2)) % 115.56/115.85 (define @t64 () (tptp.imp 0/1 2 2)) % 115.56/115.85 (define @t65 () (* @t64 @t63)) % 115.56/115.85 (define @t66 () (= @t65 @t62)) % 115.56/115.85 (define @t67 () (- @t65 @t62)) % 115.56/115.86 (define @t68 () (+ 2/1 @t60)) % 115.56/115.86 (define @t69 () (* 2/1 @t65)) % 115.56/115.86 (define @t70 () (+ -1 2)) % 115.56/115.86 (define @t71 () (to_real (tptp.lk @t70))) % 115.56/115.86 (define @t72 () (* 0/1 (tptp.recexp 0/1 2 @t70) @t71)) % 115.56/115.86 (define @t73 () (+ -2 2)) % 115.56/115.86 (define @t74 () (tptp.mysumr 0/1 2 2 @t73)) % 115.56/115.86 (define @t75 () (+ @t74 @t72 2/1)) % 115.56/115.86 (define @t76 () (* @t64 @t63 2/1)) % 115.56/115.86 (define @t77 () (= @t76 @t75)) % 115.56/115.86 (define @t78 () (>= 2 1)) % 115.56/115.86 (define @t79 () (not @t78)) % 115.56/115.86 (define @t80 () (or @t79 @t77)) % 115.56/115.86 (define @t81 () (not @t45)) % 115.56/115.86 (define @t82 () (forall @t17 (or @t81 @t52))) % 115.56/115.86 (define @t83 () (to_real 2)) % 115.56/115.86 (define @t84 () (+ @t74 @t72 @t83)) % 115.56/115.86 (define @t85 () (* @t64 @t63 @t83)) % 115.56/115.86 (define @t86 () (= @t85 @t84)) % 115.56/115.86 (define @t87 () (@list 0/1 2 2)) % 115.56/115.86 (define @t88 () (@list false)) % 115.56/115.86 (define @t89 () (* @t13 @t47)) % 115.56/115.86 (define @t90 () (* @t26 @t15)) % 115.56/115.86 (define @t91 () (= @t90 (+ @t89 (tptp.mysump @t13 @t14 @t11 @t50)))) % 115.56/115.86 (define @t92 () (tptp.mysump 0/1 2 2 0)) % 115.56/115.86 (define @t93 () (* 1/2 @t92)) % 115.56/115.86 (define @t94 () (= @t64 @t93)) % 115.56/115.86 (define @t95 () (- @t64 @t93)) % 115.56/115.86 (define @t96 () (* 2/1 @t64)) % 115.56/115.86 (define @t97 () (tptp.mysump 0/1 2 2 @t73)) % 115.56/115.86 (define @t98 () (* 0/1 @t71)) % 115.56/115.86 (define @t99 () (+ @t98 @t97)) % 115.56/115.86 (define @t100 () (* @t64 2/1)) % 115.56/115.86 (define @t101 () (= @t100 @t99)) % 115.56/115.86 (define @t102 () (or @t79 @t101)) % 115.56/115.86 (define @t103 () (forall @t17 (or @t81 @t91))) % 115.56/115.86 (define @t104 () (* @t64 @t83)) % 115.56/115.86 (define @t105 () (= @t104 @t99)) % 115.56/115.86 (define @t106 () (@list @t103)) % 115.56/115.86 (define @t107 () (* -1/1 @t64)) % 115.56/115.86 (define @t108 () (>= @t107 0/1)) % 115.56/115.86 (define @t109 () (= @t92 0/1)) % 115.56/115.86 (define @t110 () (not @t109)) % 115.56/115.86 (define @t111 () (not @t94)) % 115.56/115.86 (define @t112 () (not @t108)) % 115.56/115.86 (define @t113 () (* -1/2 @t92)) % 115.56/115.86 (define @t114 () (+ @t64 @t113)) % 115.56/115.86 (define @t115 () (= @t114 0/1)) % 115.56/115.86 (define @t116 () (>= 0/1 0/1)) % 115.56/115.86 (define @t117 () (+ 0/1 0/1 0/1)) % 115.56/115.86 (define @t118 () (* -1/1 0/1)) % 115.56/115.86 (define @t119 () (* 1/2 0/1)) % 115.56/115.86 (define @t120 () (+ 0/1 @t119 @t118)) % 115.56/115.86 (define @t121 () (+ @t107 @t113 @t93 @t64)) % 115.56/115.86 (define @t122 () (+ @t114 @t93 @t107)) % 115.56/115.86 (define @t123 () (>= @t122 @t120)) % 115.56/115.86 (define @t124 () (= (* -1/1 (- 0/1 @t64)) (* -1/1 (- @t107 0/1)))) % 115.56/115.86 (define @t125 () (>= 0/1 @t64)) % 115.56/115.86 (define @t126 () (= @t125 @t108)) % 115.56/115.86 (define @t127 () (< -1/1 0/1)) % 115.56/115.86 (define @t128 () (= (* 1/1 (- @t114 0/1)) (* 1/1 @t95))) % 115.56/115.86 (define @t129 () (= @t115 @t94)) % 115.56/115.86 (define @t130 () (and @t112 @t109 @t94)) % 115.56/115.86 (define @t131 () (= @t64 0/1)) % 115.56/115.86 (define @t132 () (not @t131)) % 115.56/115.86 (define @t133 () (* -1/2 0/1)) % 115.56/115.86 (define @t134 () (+ @t118 @t133 0/1)) % 115.56/115.86 (define @t135 () (+ @t107 @t93)) % 115.56/115.86 (define @t136 () (* -1/1 @t114)) % 115.56/115.86 (define @t137 () (+ @t136 @t113 @t64)) % 115.56/115.86 (define @t138 () (>= @t137 @t134)) % 115.56/115.86 (define @t139 () (< -1/2 0/1)) % 115.56/115.86 (define @t140 () (and @t132 @t108 @t109 @t94)) % 115.56/115.86 (define @t141 () (@list false false false)) % 115.56/115.86 (define @t142 () (= (* 0/1 @t63) 0/1)) % 115.56/115.86 (define @t143 () (= @t65 0/1)) % 115.56/115.86 (define @t144 () (= @t60 0/1)) % 115.56/115.86 (define @t145 () (* -1/1 1/1)) % 115.56/115.86 (define @t146 () (+ 0/1 @t133 @t145)) % 115.56/115.86 (define @t147 () (+ (* -1/1 @t65) @t61)) % 115.56/115.86 (define @t148 () (* -1/2 @t60)) % 115.56/115.86 (define @t149 () (+ @t65 @t148)) % 115.56/115.86 (define @t150 () (* -1/1 @t149)) % 115.56/115.86 (define @t151 () (+ @t65 @t148 @t150)) % 115.56/115.86 (define @t152 () (= @t149 1/1)) % 115.56/115.86 (define @t153 () (and @t66 @t144 @t143)) % 115.56/115.86 (assume @p1 (not (forall (@list @t1) (=> (and (<= (to_real tptp.probsize) (tptp.recexp @t1 tptp.probsize 4)) (<= (/ 9 10) @t1) (<= @t1 10/1)) (<= @t1 1/1))))) % 115.56/115.86 (assume @p2 (= @t2 1)) % 115.56/115.86 (assume @p3 (forall @t9 (=> @t8 (<= @t6 @t4)))) % 115.56/115.86 (assume @p4 (= (tptp.ns 0) (+ @t2 (tptp.lk 1)))) % 115.56/115.86 (assume @p5 (= (tptp.ns tptp.problen) (+ (tptp.lk @t10) (tptp.lk tptp.problen)))) % 115.56/115.86 (assume @p6 (forall @t9 (=> (and @t7 (<= @t3 @t10)) (= (tptp.ns @t3) (+ (+ @t6 @t4) (tptp.lk (+ @t3 1))))))) % 115.56/115.86 (assume @p7 (forall @t17 (= (* @t16 (to_real (- @t14 @t12))) (- @t15 (* @t13 (to_real @t12)))))) % 115.56/115.86 (assume @p8 (forall @t18 (= (tptp.imp @t13 @t14 0) 0/1))) % 115.56/115.86 (assume @p9 @t31) % 115.56/115.86 (assume @p10 (forall @t17 (= (tptp.mysump @t13 @t14 @t11 0) 0/1))) % 115.56/115.86 (assume @p11 (forall @t33 (=> @t7 (= (tptp.mysump @t13 @t14 @t11 @t3) (+ (* @t16 @t32) (tptp.mysump @t13 @t14 @t11 @t5)))))) % 115.56/115.86 (assume @p12 (forall @t18 (= (tptp.recexp @t13 @t14 0) 0/1))) % 115.56/115.86 (assume @p13 @t44) % 115.56/115.86 (assume @p14 (= (tptp.mylk 0) 1)) % 115.56/115.86 (assume @p15 (forall @t9 (=> @t8 (= (tptp.mylk @t3) (+ @t4 (tptp.mylk @t5)))))) % 115.56/115.86 (assume @p16 (<= (tptp.mylk tptp.problen) tptp.probsize)) % 115.56/115.86 (assume @p17 (forall @t17 (= (tptp.mysumr @t13 @t14 @t11 0) 0/1))) % 115.56/115.86 (assume @p18 (forall @t33 (=> @t7 (= (tptp.mysumr @t13 @t14 @t11 @t3) (+ (* @t16 (* (tptp.recexp @t13 @t14 @t3) @t32)) (tptp.mysumr @t13 @t11 @t14 @t5)))))) % 115.56/115.86 (assume @p19 true) % 115.56/115.86 (step @p20 :rule bool-impl-elim :args (@t45 @t52)) % 115.56/115.86 (step @p21 :rule cong :premises (@p20) :args ((forall @t17 (=> @t45 @t52)))) % 115.56/115.86 (step @p22 :rule refl :args (@t15)) % 115.56/115.86 (step @p23 :rule arith_poly_norm :args ((= (* @t53 @t47) @t49))) % 115.56/115.86 (step @p24 :rule arith_poly_norm :args ((= (+ @t11 -1) @t46))) % 115.56/115.86 (step @p25 :rule evaluate :args (@t54)) % 115.56/115.86 (step @p26 :rule refl :args (@t11)) % 115.56/115.86 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t55)) % 115.56/115.86 (step @p28 :rule trans :premises (@p27 @p24)) % 115.56/115.86 (step @p29 :rule arith_poly_norm :args ((= @t21 @t55))) % 115.56/115.86 (step @p30 :rule trans :premises (@p29 @p28)) % 115.56/115.86 (step @p31 :rule cong :premises (@p30) :args (@t22)) % 115.56/115.86 (step @p32 :rule cong :premises (@p31) :args (@t23)) % 115.56/115.86 (step @p33 :rule arith_poly_norm :args ((= (* @t13 @t48) @t53))) % 115.56/115.86 (step @p34 :rule refl :args (@t14)) % 115.56/115.86 (step @p35 :rule refl :args (@t13)) % 115.56/115.86 (step @p36 :rule cong :premises (@p35 @p34 @p30) :args (@t35)) % 115.56/115.86 (step @p37 :rule nary_cong :premises (@p35 @p36) :args (@t36)) % 115.56/115.86 (step @p38 :rule trans :premises (@p37 @p33)) % 115.56/115.86 (step @p39 :rule nary_cong :premises (@p38 @p32) :args (@t37)) % 115.56/115.86 (step @p40 :rule trans :premises (@p39 @p23)) % 115.56/115.86 (step @p41 :rule arith_poly_norm :args ((= (+ @t11 -2) @t50))) % 115.56/115.86 (step @p42 :rule evaluate :args (@t56)) % 115.56/115.86 (step @p43 :rule nary_cong :premises (@p26 @p42) :args (@t57)) % 115.56/115.86 (step @p44 :rule trans :premises (@p43 @p41)) % 115.56/115.86 (step @p45 :rule arith_poly_norm :args ((= @t19 @t57))) % 115.56/115.86 (step @p46 :rule trans :premises (@p45 @p44)) % 115.56/115.86 (step @p47 :rule cong :premises (@p35 @p34 @p26 @p46) :args (@t34)) % 115.56/115.86 (step @p48 :rule nary_cong :premises (@p47 @p40 @p22) :args (@t58)) % 115.56/115.86 (step @p49 :rule arith_poly_norm :args ((= @t38 @t58))) % 115.56/115.86 (step @p50 :rule trans :premises (@p49 @p48)) % 115.56/115.86 (step @p51 :rule arith_poly_norm :args ((= (* @t26 @t59) @t51))) % 115.56/115.86 (step @p52 :rule arith_poly_norm :args ((= @t40 @t59))) % 115.56/115.86 (step @p53 :rule refl :args (@t26)) % 115.56/115.86 (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t41)) % 115.56/115.86 (step @p55 :rule trans :premises (@p54 @p51)) % 115.56/115.86 (step @p56 :rule cong :premises (@p55 @p50) :args (@t42)) % 115.56/115.86 (step @p57 :rule arith-elim-leq :args (1 @t11)) % 115.56/115.86 (step @p58 :rule cong :premises (@p57 @p56) :args (@t43)) % 115.56/115.86 (step @p59 :rule cong :premises (@p58) :args (@t44)) % 115.56/115.86 (step @p60 :rule trans :premises (@p59 @p21)) % 115.56/115.86 (step @p61 :rule eq_resolve :premises (@p13 @p60)) % 115.56/115.86 (step @p62 :rule aci_norm :args ((= (or false @t66) @t66))) % 115.56/115.86 (step @p63 :rule arith_poly_norm :args ((= (* -1/1 (- @t69 @t68)) (* -2/1 @t67)))) % 115.56/115.86 (step @p64 :rule arith_poly_norm_rel :premises (@p63) :args ((= (= @t69 @t68) @t66))) % 115.56/115.86 (step @p65 :rule arith_poly_norm :args ((= (+ @t60 0/1 2/1) @t68))) % 115.56/115.86 (step @p66 :rule refl :args (2/1)) % 115.56/115.86 (step @p67 :rule arith_poly_norm :args ((= @t72 0/1))) % 115.56/115.86 (step @p68 :rule evaluate :args (@t73)) % 115.56/115.86 (step @p69 :rule refl :args (2)) % 115.56/115.86 (step @p70 :rule refl :args (0/1)) % 115.56/115.86 (step @p71 :rule cong :premises (@p70 @p69 @p69 @p68) :args (@t74)) % 115.56/115.86 (step @p72 :rule nary_cong :premises (@p71 @p67 @p66) :args (@t75)) % 115.56/115.86 (step @p73 :rule trans :premises (@p72 @p65)) % 115.56/115.86 (step @p74 :rule arith_poly_norm :args ((= @t76 @t69))) % 115.56/115.86 (step @p75 :rule cong :premises (@p74 @p73) :args (@t77)) % 115.56/115.86 (step @p76 :rule trans :premises (@p75 @p64)) % 115.56/115.86 (step @p77 :rule evaluate :args ((not true))) % 115.56/115.86 (step @p78 :rule evaluate :args (@t78)) % 115.56/115.86 (step @p79 :rule cong :premises (@p78) :args (@t79)) % 115.56/115.86 (step @p80 :rule trans :premises (@p79 @p77)) % 115.56/115.86 (step @p81 :rule nary_cong :premises (@p80 @p76) :args (@t80)) % 115.56/115.86 (step @p82 :rule trans :premises (@p81 @p62)) % 115.56/115.86 (step @p83 :rule refl :args (@t82)) % 115.56/115.86 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t82 @t80))) % 115.56/115.86 (assume-push @p345 @t82) % 115.56/115.86 (step @p86 :rule evaluate :args (@t83)) % 115.56/115.86 (step @p87 :rule refl :args (@t72)) % 115.56/115.86 (step @p88 :rule refl :args (@t74)) % 115.56/115.86 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args (@t84)) % 115.56/115.86 (step @p90 :rule refl :args (@t63)) % 115.56/115.86 (step @p91 :rule refl :args (@t64)) % 115.56/115.86 (step @p92 :rule nary_cong :premises (@p91 @p90 @p86) :args (@t85)) % 115.56/115.86 (step @p93 :rule cong :premises (@p92 @p89) :args (@t86)) % 115.56/115.86 (step @p94 :rule refl :args (@t79)) % 115.56/115.86 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t79 @t86))) % 115.56/115.86 (step @p96 :rule instantiate :premises (@p61) :args (@t87)) % 115.56/115.86 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 115.56/115.86 (step-pop @p346 :rule scope :premises (@p97)) % 115.56/115.86 (step @p98 :rule process_scope :premises (@p346) :args (@t80)) % 115.56/115.86 (step @p100 :rule eq_resolve :premises (@p98 @p84)) % 115.56/115.86 (step @p101 :rule implies_elim :premises (@p100)) % 115.56/115.86 (step @p102 :rule chain_m_resolution :premises (@p101 @p61) :args (@t66 @t88 (@list @t82))) % 115.56/115.86 (step @p103 :rule instantiate :premises (@p17) :args (@t87)) % 115.56/115.86 (step @p104 :rule instantiate :premises (@p10) :args (@t87)) % 115.56/115.86 (step @p105 :rule 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(@t145)) % 115.56/115.86 (step @p229 :rule evaluate :args (@t133)) % 115.56/115.86 (step @p303 :rule nary_cong :premises (@p70 @p229 @p302) :args (@t146)) % 115.56/115.86 (step @p304 :rule trans :premises (@p303 @p301)) % 115.56/115.86 (step @p305 :rule arith_poly_norm :args ((= (+ @t65 @t148 @t147) 0/1))) % 115.56/115.86 (step @p306 :rule arith_poly_norm :args ((= @t150 @t147))) % 115.56/115.86 (step @p307 :rule refl :args (@t148)) % 115.56/115.86 (step @p308 :rule refl :args (@t65)) % 115.56/115.86 (step @p309 :rule nary_cong :premises (@p308 @p307 @p306) :args (@t151)) % 115.56/115.86 (step @p310 :rule trans :premises (@p309 @p305)) % 115.56/115.86 (step @p311 :rule cong :premises (@p310 @p304) :args ((<= @t151 @t146))) % 115.56/115.86 (step @p312 :rule trans :premises (@p311 @p300)) % 115.56/115.86 (step @p313 :rule arith_mult_neg :args (-1/1 @t152)) % 115.56/115.86 (step @p314 :rule arith_poly_norm :args ((= (* -1/1 (- @t149 1/1)) (* -1/1 @t67)))) % 115.56/115.86 (step @p315 :rule arith_poly_norm_rel :premises (@p314) :args ((= @t152 @t66))) % 115.56/115.86 (step @p316 :rule symm :premises (@p315)) % 115.56/115.86 (step @p317 :rule eq_resolve :premises (@p102 @p316)) % 115.56/115.86 (step @p184 :rule evaluate :args (@t127)) % 115.56/115.86 (step @p185 :rule true_elim :premises (@p184)) % 115.56/115.86 (step @p318 :rule and_intro :premises (@p185 @p317)) % 115.56/115.86 (step @p319 :rule modus_ponens :premises (@p318 @p313)) % 115.56/115.87 (step @p320 :rule arith_mult_neg :args (-1/2 @t144)) % 115.56/115.87 (step @p248 :rule evaluate :args (@t139)) % 115.56/115.87 (step @p249 :rule true_elim :premises (@p248)) % 115.56/115.87 (step @p321 :rule and_intro :premises (@p249 @p103)) % 115.56/115.87 (step @p322 :rule modus_ponens :premises (@p321 @p320)) % 115.56/115.87 (step @p323 :rule arith_sum_ub :premises (@p385 @p322 @p319)) % 115.56/115.87 (step @p324 false :rule eq_resolve :premises (@p323 @p312)) % 115.56/115.87 (step-pop @p387 :rule scope :premises (@p324)) % 115.56/115.87 (step @p325 :rule process_scope :premises (@p387) :args (false)) % 115.56/115.87 (step @p327 false :rule contra :premises (@p385 @p325)) % 115.56/115.87 (step-pop @p388 :rule scope :premises (@p327)) % 115.56/115.87 (step-pop @p389 :rule scope :premises (@p388)) % 115.56/115.87 (step-pop @p390 :rule scope :premises (@p389)) % 115.56/115.87 (step @p328 :rule process_scope :premises (@p390) :args (false)) % 115.56/115.87 (assume-push @p391 @t66) % 115.56/115.87 (assume-push @p392 @t143) % 115.56/115.87 (assume-push @p393 @t144) % 115.56/115.87 (step @p335 :rule and_intro :premises (@p102 @p103 @p392)) % 115.56/115.87 (step-pop @p394 :rule scope :premises (@p335)) % 115.56/115.87 (step-pop @p395 :rule scope :premises (@p394)) % 115.56/115.87 (step-pop @p396 :rule scope :premises (@p395)) % 115.56/115.87 (step @p336 :rule process_scope :premises (@p396) :args (@t153)) % 115.56/115.87 (step @p340 :rule implies_elim :premises (@p336)) % 115.56/115.87 (step @p341 :rule resolution :premises (@p340 @p328) :args (true @t153)) % 115.56/115.87 (step @p342 :rule not_and :premises (@p341)) % 115.56/115.87 (step @p343 :rule reordering :premises (@p342) :args ((or (not @t66) (not @t144) (not @t143)))) % 115.56/115.87 (step @p344 false :rule chain_m_resolution :premises (@p343 @p295 @p103 @p102) :args (false @t141 (@list @t143 @t144 @t66))) % 115.56/115.87 ) % 115.56/115.87 % SZS output end Proof % 115.56/115.87 % cvc5 exiting %------------------------------------------------------------------------------