%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA047_1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 105.84s 106.69s % Output : Proof 105.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA047_1 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.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 13:04:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 105.84/106.69 --- Run --finite-model-find --decision=internal at 45... % 105.84/106.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 105.84/106.69 --- Run --no-e-matching --full-saturate-quant at 45... % 105.84/106.69 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 105.84/106.69 % SZS status Theorem % 105.84/106.69 % SZS output start Proof % 105.84/106.69 ( % 105.84/106.69 (declare-const tptp.mysumr (-> Real Int Int Int Real)) % 105.84/106.69 (declare-const tptp.mysump (-> Real Int Int Int Real)) % 105.84/106.69 (declare-const tptp.imp (-> Real Int Int Real)) % 105.84/106.69 (declare-const tptp.dc (-> Real Int Int Real)) % 105.84/106.69 (declare-const tptp.ns (-> Int Int)) % 105.84/106.69 (declare-const tptp.lk (-> Int Int)) % 105.84/106.69 (declare-const tptp.recexp (-> Real Int Int Real)) % 105.84/106.69 (define @t1 () (@var "S" Real)) % 105.84/106.69 (define @t2 () (@var "C" Int)) % 105.84/106.69 (define @t3 () (tptp.ns @t2)) % 105.84/106.69 (define @t4 () (@var "D" Real)) % 105.84/106.69 (define @t5 () (@var "T" Int)) % 105.84/106.69 (define @t6 () (to_real @t5)) % 105.84/106.69 (define @t7 () (tptp.dc @t4 @t5 @t2)) % 105.84/106.69 (define @t8 () (@list @t4 @t5 @t2)) % 105.84/106.69 (define @t9 () (@list @t4 @t5)) % 105.84/106.69 (define @t10 () (- @t2 2)) % 105.84/106.69 (define @t11 () (tptp.mysump @t4 @t5 @t2 @t10)) % 105.84/106.69 (define @t12 () (- @t2 1)) % 105.84/106.69 (define @t13 () (tptp.lk @t12)) % 105.84/106.69 (define @t14 () (to_real @t13)) % 105.84/106.69 (define @t15 () (* @t4 @t14)) % 105.84/106.69 (define @t16 () (+ @t15 @t11)) % 105.84/106.69 (define @t17 () (tptp.imp @t4 @t5 @t2)) % 105.84/106.69 (define @t18 () (* @t6 @t17)) % 105.84/106.69 (define @t19 () (= @t18 @t16)) % 105.84/106.69 (define @t20 () (<= 1 @t2)) % 105.84/106.69 (define @t21 () (=> @t20 @t19)) % 105.84/106.69 (define @t22 () (forall @t8 @t21)) % 105.84/106.69 (define @t23 () (@var "K" Int)) % 105.84/106.69 (define @t24 () (- @t23 1)) % 105.84/106.69 (define @t25 () (to_real (tptp.lk @t23))) % 105.84/106.69 (define @t26 () (<= 1 @t23)) % 105.84/106.69 (define @t27 () (@list @t4 @t5 @t2 @t23)) % 105.84/106.69 (define @t28 () (tptp.mysumr @t4 @t5 @t2 @t10)) % 105.84/106.69 (define @t29 () (tptp.recexp @t4 @t5 @t12)) % 105.84/106.69 (define @t30 () (* @t4 @t29)) % 105.84/106.69 (define @t31 () (* @t30 @t14)) % 105.84/106.69 (define @t32 () (+ (+ @t6 @t31) @t28)) % 105.84/106.69 (define @t33 () (tptp.recexp @t4 @t5 @t2)) % 105.84/106.69 (define @t34 () (* @t6 @t33)) % 105.84/106.69 (define @t35 () (* @t17 @t34)) % 105.84/106.69 (define @t36 () (= @t35 @t32)) % 105.84/106.69 (define @t37 () (=> @t20 @t36)) % 105.84/106.69 (define @t38 () (forall @t8 @t37)) % 105.84/106.69 (define @t39 () (>= @t2 1)) % 105.84/106.69 (define @t40 () (+ -1 @t2)) % 105.84/106.69 (define @t41 () (to_real (tptp.lk @t40))) % 105.84/106.69 (define @t42 () (tptp.recexp @t4 @t5 @t40)) % 105.84/106.69 (define @t43 () (* @t4 @t42 @t41)) % 105.84/106.69 (define @t44 () (+ -2 @t2)) % 105.84/106.69 (define @t45 () (* @t17 @t33 @t6)) % 105.84/106.69 (define @t46 () (= @t45 (+ (tptp.mysumr @t4 @t5 @t2 @t44) @t43 @t6))) % 105.84/106.69 (define @t47 () (* @t4 @t42)) % 105.84/106.69 (define @t48 () (* -1 1)) % 105.84/106.69 (define @t49 () (+ @t2 @t48)) % 105.84/106.69 (define @t50 () (* -1 2)) % 105.84/106.69 (define @t51 () (+ @t2 @t50)) % 105.84/106.69 (define @t52 () (+ @t28 @t31 @t6)) % 105.84/106.69 (define @t53 () (* @t33 @t6)) % 105.84/106.69 (define @t54 () (tptp.mysumr 0/1 2 2 0)) % 105.84/106.69 (define @t55 () (* 1/2 @t54)) % 105.84/106.69 (define @t56 () (+ 1/1 @t55)) % 105.84/106.69 (define @t57 () (tptp.recexp 0/1 2 2)) % 105.84/106.69 (define @t58 () (tptp.imp 0/1 2 2)) % 105.84/106.69 (define @t59 () (* @t58 @t57)) % 105.84/106.69 (define @t60 () (= @t59 @t56)) % 105.84/106.69 (define @t61 () (- @t59 @t56)) % 105.84/106.69 (define @t62 () (+ 2/1 @t54)) % 105.84/106.69 (define @t63 () (* 2/1 @t59)) % 105.84/106.69 (define @t64 () (+ -1 2)) % 105.84/106.69 (define @t65 () (to_real (tptp.lk @t64))) % 105.84/106.69 (define @t66 () (* 0/1 (tptp.recexp 0/1 2 @t64) @t65)) % 105.84/106.69 (define @t67 () (+ -2 2)) % 105.84/106.69 (define @t68 () (tptp.mysumr 0/1 2 2 @t67)) % 105.84/106.69 (define @t69 () (+ @t68 @t66 2/1)) % 105.84/106.69 (define @t70 () (* @t58 @t57 2/1)) % 105.84/106.69 (define @t71 () (= @t70 @t69)) % 105.84/106.69 (define @t72 () (>= 2 1)) % 105.84/106.69 (define @t73 () (not @t72)) % 105.84/106.69 (define @t74 () (or @t73 @t71)) % 105.84/106.69 (define @t75 () (not @t39)) % 105.84/106.69 (define @t76 () (forall @t8 (or @t75 @t46))) % 105.84/106.69 (define @t77 () (to_real 2)) % 105.84/106.69 (define @t78 () (+ @t68 @t66 @t77)) % 105.84/106.69 (define @t79 () (* @t58 @t57 @t77)) % 105.84/106.69 (define @t80 () (= @t79 @t78)) % 105.84/106.69 (define @t81 () (@list 0/1 2 2)) % 105.84/106.69 (define @t82 () (@list false)) % 105.84/106.69 (define @t83 () (* @t4 @t41)) % 105.84/106.69 (define @t84 () (* @t17 @t6)) % 105.84/106.69 (define @t85 () (= @t84 (+ @t83 (tptp.mysump @t4 @t5 @t2 @t44)))) % 105.84/106.69 (define @t86 () (tptp.mysump 0/1 2 2 0)) % 105.84/106.69 (define @t87 () (* 1/2 @t86)) % 105.84/106.69 (define @t88 () (= @t58 @t87)) % 105.84/106.69 (define @t89 () (- @t58 @t87)) % 105.84/106.69 (define @t90 () (* 2/1 @t58)) % 105.84/106.69 (define @t91 () (tptp.mysump 0/1 2 2 @t67)) % 105.84/106.69 (define @t92 () (* 0/1 @t65)) % 105.84/106.69 (define @t93 () (+ @t92 @t91)) % 105.84/106.69 (define @t94 () (* @t58 2/1)) % 105.84/106.69 (define @t95 () (= @t94 @t93)) % 105.84/106.69 (define @t96 () (or @t73 @t95)) % 105.84/106.69 (define @t97 () (forall @t8 (or @t75 @t85))) % 105.84/106.69 (define @t98 () (* @t58 @t77)) % 105.84/106.69 (define @t99 () (= @t98 @t93)) % 105.84/106.69 (define @t100 () (@list @t97)) % 105.84/106.69 (define @t101 () (* -1/1 @t58)) % 105.84/106.69 (define @t102 () (>= @t101 0/1)) % 105.84/106.69 (define @t103 () (= @t86 0/1)) % 105.84/106.69 (define @t104 () (not @t103)) % 105.84/106.69 (define @t105 () (not @t88)) % 105.84/106.69 (define @t106 () (not @t102)) % 105.84/106.69 (define @t107 () (* -1/2 @t86)) % 105.84/106.69 (define @t108 () (+ @t58 @t107)) % 105.84/106.69 (define @t109 () (= @t108 0/1)) % 105.84/106.69 (define @t110 () (>= 0/1 0/1)) % 105.84/106.69 (define @t111 () (+ 0/1 0/1 0/1)) % 105.84/106.69 (define @t112 () (* -1/1 0/1)) % 105.84/106.69 (define @t113 () (* 1/2 0/1)) % 105.84/106.69 (define @t114 () (+ 0/1 @t113 @t112)) % 105.84/106.69 (define @t115 () (+ @t101 @t107 @t87 @t58)) % 105.84/106.69 (define @t116 () (+ @t108 @t87 @t101)) % 105.84/106.69 (define @t117 () (>= @t116 @t114)) % 105.84/106.69 (define @t118 () (= (* -1/1 (- 0/1 @t58)) (* -1/1 (- @t101 0/1)))) % 105.84/106.69 (define @t119 () (>= 0/1 @t58)) % 105.84/106.69 (define @t120 () (= @t119 @t102)) % 105.84/106.69 (define @t121 () (< -1/1 0/1)) % 105.84/106.69 (define @t122 () (= (* 1/1 (- @t108 0/1)) (* 1/1 @t89))) % 105.84/106.69 (define @t123 () (= @t109 @t88)) % 105.84/106.69 (define @t124 () (and @t106 @t103 @t88)) % 105.84/106.69 (define @t125 () (= @t58 0/1)) % 105.84/106.69 (define @t126 () (not @t125)) % 105.84/106.69 (define @t127 () (* -1/2 0/1)) % 105.84/106.69 (define @t128 () (+ @t112 @t127 0/1)) % 105.84/106.69 (define @t129 () (+ @t101 @t87)) % 105.84/106.69 (define @t130 () (* -1/1 @t108)) % 105.84/106.69 (define @t131 () (+ @t130 @t107 @t58)) % 105.84/106.69 (define @t132 () (>= @t131 @t128)) % 105.84/106.69 (define @t133 () (< -1/2 0/1)) % 105.84/106.69 (define @t134 () (and @t126 @t102 @t103 @t88)) % 105.84/106.69 (define @t135 () (@list false false false)) % 105.84/106.69 (define @t136 () (= (* 0/1 @t57) 0/1)) % 105.84/106.69 (define @t137 () (= @t59 0/1)) % 105.84/106.69 (define @t138 () (= @t54 0/1)) % 105.84/106.69 (define @t139 () (* -1/1 1/1)) % 105.84/106.69 (define @t140 () (+ 0/1 @t127 @t139)) % 105.84/106.69 (define @t141 () (+ (* -1/1 @t59) @t55)) % 105.84/106.69 (define @t142 () (* -1/2 @t54)) % 105.84/106.69 (define @t143 () (+ @t59 @t142)) % 105.84/106.69 (define @t144 () (* -1/1 @t143)) % 105.84/106.69 (define @t145 () (+ @t59 @t142 @t144)) % 105.84/106.69 (define @t146 () (= @t143 1/1)) % 105.84/106.69 (define @t147 () (and @t60 @t138 @t137)) % 105.84/106.69 (assume @p1 (not (forall (@list @t1) (=> (and (<= 8000/1 (tptp.recexp @t1 8000 4)) (<= (/ 9 10) @t1) (<= @t1 10/1)) (<= @t1 1/1))))) % 105.84/106.69 (assume @p2 (= (tptp.lk 0) 1)) % 105.84/106.69 (assume @p3 (= (tptp.lk 1) 9)) % 105.84/106.69 (assume @p4 (= (tptp.lk 2) 40)) % 105.84/106.69 (assume @p5 (= (tptp.lk 3) 50)) % 105.84/106.69 (assume @p6 (= (tptp.lk 4) 100)) % 105.84/106.69 (assume @p7 (= (tptp.lk 5) 400)) % 105.84/106.69 (assume @p8 (= (tptp.lk 6) 600)) % 105.84/106.69 (assume @p9 (= (tptp.ns 0) 10)) % 105.84/106.69 (assume @p10 (= (tptp.ns 1) 50)) % 105.84/106.69 (assume @p11 (= (tptp.ns 2) 99)) % 105.84/106.69 (assume @p12 (= (tptp.ns 3) 190)) % 105.84/106.69 (assume @p13 (= (tptp.ns 4) 550)) % 105.84/106.69 (assume @p14 (= (tptp.ns 5) 1100)) % 105.84/106.69 (assume @p15 (= (tptp.ns 6) 1600)) % 105.84/106.69 (assume @p16 (forall @t8 (= (* @t7 (to_real (- @t5 @t3))) (- @t6 (* @t4 (to_real @t3)))))) % 105.84/106.69 (assume @p17 (forall @t9 (= (tptp.imp @t4 @t5 0) 0/1))) % 105.84/106.69 (assume @p18 @t22) % 105.84/106.69 (assume @p19 (forall @t8 (= (tptp.mysump @t4 @t5 @t2 0) 0/1))) % 105.84/106.69 (assume @p20 (forall @t27 (=> @t26 (= (tptp.mysump @t4 @t5 @t2 @t23) (+ (* @t7 @t25) (tptp.mysump @t4 @t5 @t2 @t24)))))) % 105.84/106.69 (assume @p21 (forall @t9 (= (tptp.recexp @t4 @t5 0) 0/1))) % 105.84/106.69 (assume @p22 @t38) % 105.84/106.69 (assume @p23 (forall @t8 (= (tptp.mysumr @t4 @t5 @t2 0) 0/1))) % 105.84/106.69 (assume @p24 (forall @t27 (=> @t26 (= (tptp.mysumr @t4 @t5 @t2 @t23) (+ (* @t7 (* (tptp.recexp @t4 @t5 @t23) @t25)) (tptp.mysumr @t4 @t2 @t5 @t24)))))) % 105.84/106.69 (assume @p25 true) % 105.84/106.69 (step @p26 :rule bool-impl-elim :args (@t39 @t46)) % 105.84/106.69 (step @p27 :rule cong :premises (@p26) :args ((forall @t8 (=> @t39 @t46)))) % 105.84/106.69 (step @p28 :rule refl :args (@t6)) % 105.84/106.69 (step @p29 :rule arith_poly_norm :args ((= (* @t47 @t41) @t43))) % 105.84/106.69 (step @p30 :rule arith_poly_norm :args ((= (+ @t2 -1) @t40))) % 105.84/106.69 (step @p31 :rule evaluate :args (@t48)) % 105.84/106.69 (step @p32 :rule refl :args (@t2)) % 105.84/106.69 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t49)) % 105.84/106.69 (step @p34 :rule trans :premises (@p33 @p30)) % 105.84/106.69 (step @p35 :rule arith_poly_norm :args ((= @t12 @t49))) % 105.84/106.69 (step @p36 :rule trans :premises (@p35 @p34)) % 105.84/106.69 (step @p37 :rule cong :premises (@p36) :args (@t13)) % 105.84/106.69 (step @p38 :rule cong :premises (@p37) :args (@t14)) % 105.84/106.69 (step @p39 :rule arith_poly_norm :args ((= (* @t4 @t42) @t47))) % 105.84/106.69 (step @p40 :rule refl :args (@t5)) % 105.84/106.69 (step @p41 :rule refl :args (@t4)) % 105.84/106.69 (step @p42 :rule cong :premises (@p41 @p40 @p36) :args (@t29)) % 105.84/106.69 (step @p43 :rule nary_cong :premises (@p41 @p42) :args (@t30)) % 105.84/106.69 (step @p44 :rule trans :premises (@p43 @p39)) % 105.84/106.69 (step @p45 :rule nary_cong :premises (@p44 @p38) :args (@t31)) % 105.84/106.69 (step @p46 :rule trans :premises (@p45 @p29)) % 105.84/106.69 (step @p47 :rule arith_poly_norm :args ((= (+ @t2 -2) @t44))) % 105.84/106.69 (step @p48 :rule evaluate :args (@t50)) % 105.84/106.69 (step @p49 :rule nary_cong :premises (@p32 @p48) :args (@t51)) % 105.84/106.69 (step @p50 :rule trans :premises (@p49 @p47)) % 105.84/106.69 (step @p51 :rule arith_poly_norm :args ((= @t10 @t51))) % 105.84/106.69 (step @p52 :rule trans :premises (@p51 @p50)) % 105.84/106.69 (step @p53 :rule cong :premises (@p41 @p40 @p32 @p52) :args (@t28)) % 105.84/106.69 (step @p54 :rule nary_cong :premises (@p53 @p46 @p28) :args (@t52)) % 105.84/106.69 (step @p55 :rule arith_poly_norm :args ((= @t32 @t52))) % 105.84/106.69 (step @p56 :rule trans :premises (@p55 @p54)) % 105.84/106.69 (step @p57 :rule arith_poly_norm :args ((= (* @t17 @t53) @t45))) % 105.84/106.69 (step @p58 :rule arith_poly_norm :args ((= @t34 @t53))) % 105.84/106.69 (step @p59 :rule refl :args (@t17)) % 105.84/106.69 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t35)) % 105.84/106.69 (step @p61 :rule trans :premises (@p60 @p57)) % 105.84/106.69 (step @p62 :rule cong :premises (@p61 @p56) :args (@t36)) % 105.84/106.69 (step @p63 :rule arith-elim-leq :args (1 @t2)) % 105.84/106.69 (step @p64 :rule cong :premises (@p63 @p62) :args (@t37)) % 105.84/106.69 (step @p65 :rule cong :premises (@p64) :args (@t38)) % 105.84/106.69 (step @p66 :rule trans :premises (@p65 @p27)) % 105.84/106.69 (step @p67 :rule eq_resolve :premises (@p22 @p66)) % 105.84/106.69 (step @p68 :rule aci_norm :args ((= (or false @t60) @t60))) % 105.84/106.69 (step @p69 :rule arith_poly_norm :args ((= (* -1/1 (- @t63 @t62)) (* -2/1 @t61)))) % 105.84/106.69 (step @p70 :rule arith_poly_norm_rel :premises (@p69) :args ((= (= @t63 @t62) @t60))) % 105.84/106.69 (step @p71 :rule arith_poly_norm :args ((= (+ @t54 0/1 2/1) @t62))) % 105.84/106.69 (step @p72 :rule refl :args (2/1)) % 105.84/106.69 (step @p73 :rule arith_poly_norm :args ((= @t66 0/1))) % 105.84/106.69 (step @p74 :rule evaluate :args (@t67)) % 105.84/106.69 (step @p75 :rule refl :args (2)) % 105.84/106.69 (step @p76 :rule refl :args (0/1)) % 105.84/106.69 (step @p77 :rule cong :premises (@p76 @p75 @p75 @p74) :args (@t68)) % 105.84/106.69 (step @p78 :rule nary_cong :premises (@p77 @p73 @p72) :args (@t69)) % 105.84/106.69 (step @p79 :rule trans :premises (@p78 @p71)) % 105.84/106.69 (step @p80 :rule arith_poly_norm :args ((= @t70 @t63))) % 105.84/106.69 (step @p81 :rule cong :premises (@p80 @p79) :args (@t71)) % 105.84/106.69 (step @p82 :rule trans :premises (@p81 @p70)) % 105.84/106.69 (step @p83 :rule evaluate :args ((not true))) % 105.84/106.69 (step @p84 :rule evaluate :args (@t72)) % 105.84/106.69 (step @p85 :rule cong :premises (@p84) :args (@t73)) % 105.84/106.69 (step @p86 :rule trans :premises (@p85 @p83)) % 105.84/106.69 (step @p87 :rule nary_cong :premises (@p86 @p82) :args (@t74)) % 105.84/106.69 (step @p88 :rule trans :premises (@p87 @p68)) % 105.84/106.69 (step @p89 :rule refl :args (@t76)) % 105.84/106.69 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t76 @t74))) % 105.84/106.69 (assume-push @p351 @t76) % 105.84/106.69 (step @p92 :rule evaluate :args (@t77)) % 105.84/106.69 (step @p93 :rule refl :args (@t66)) % 105.84/106.69 (step @p94 :rule refl :args (@t68)) % 105.84/106.69 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args (@t78)) % 105.84/106.69 (step @p96 :rule refl :args (@t57)) % 105.84/106.69 (step @p97 :rule refl :args (@t58)) % 105.84/106.69 (step @p98 :rule nary_cong :premises (@p97 @p96 @p92) :args (@t79)) % 105.84/106.69 (step @p99 :rule cong :premises (@p98 @p95) :args (@t80)) % 105.84/106.69 (step @p100 :rule refl :args (@t73)) % 105.84/106.69 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t73 @t80))) % 105.84/106.69 (step @p102 :rule instantiate :premises (@p67) :args (@t81)) % 105.84/106.69 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 105.84/106.69 (step-pop @p352 :rule scope :premises (@p103)) % 105.84/106.69 (step @p104 :rule process_scope :premises (@p352) :args (@t74)) % 105.84/106.69 (step @p106 :rule eq_resolve :premises (@p104 @p90)) % 105.84/106.69 (step @p107 :rule implies_elim :premises (@p106)) % 105.84/106.69 (step @p108 :rule chain_m_resolution :premises (@p107 @p67) :args (@t60 @t82 (@list @t76))) % 105.84/106.69 (step @p109 :rule instantiate :premises (@p23) :args (@t81)) % 105.84/106.69 (step @p110 :rule instantiate :premises (@p19) :args (@t81)) % 105.84/106.69 (step @p111 :rule bool-impl-elim :args (@t39 @t85)) % 105.84/106.69 (step @p112 :rule cong :premises (@p111) :args ((forall @t8 (=> @t39 @t85)))) % 105.84/106.69 (step @p113 :rule cong :premises (@p41 @p40 @p32 @p52) :args (@t11)) % 105.84/106.69 (step @p114 :rule arith_poly_norm :args ((= (* @t4 @t41) @t83))) % 105.84/106.69 (step @p115 :rule nary_cong :premises (@p41 @p38) :args (@t15)) % 105.84/106.69 (step @p116 :rule trans :premises (@p115 @p114)) % 105.84/106.69 (step @p117 :rule nary_cong :premises (@p116 @p113) :args (@t16)) % 105.84/106.69 (step 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:args (@t145)) % 105.84/106.70 (step @p316 :rule trans :premises (@p315 @p311)) % 105.84/106.70 (step @p317 :rule cong :premises (@p316 @p310) :args ((<= @t145 @t140))) % 105.84/106.70 (step @p318 :rule trans :premises (@p317 @p306)) % 105.84/106.70 (step @p319 :rule arith_mult_neg :args (-1/1 @t146)) % 105.84/106.70 (step @p320 :rule arith_poly_norm :args ((= (* -1/1 (- @t143 1/1)) (* -1/1 @t61)))) % 105.84/106.70 (step @p321 :rule arith_poly_norm_rel :premises (@p320) :args ((= @t146 @t60))) % 105.84/106.70 (step @p322 :rule symm :premises (@p321)) % 105.84/106.70 (step @p323 :rule eq_resolve :premises (@p108 @p322)) % 105.84/106.70 (step @p190 :rule evaluate :args (@t121)) % 105.84/106.70 (step @p191 :rule true_elim :premises (@p190)) % 105.84/106.70 (step @p324 :rule and_intro :premises (@p191 @p323)) % 105.84/106.70 (step @p325 :rule modus_ponens :premises (@p324 @p319)) % 105.84/106.70 (step @p326 :rule arith_mult_neg :args (-1/2 @t138)) % 105.84/106.70 (step @p254 :rule evaluate :args (@t133)) % 105.84/106.70 (step @p255 :rule true_elim :premises (@p254)) % 105.84/106.70 (step @p327 :rule and_intro :premises (@p255 @p109)) % 105.84/106.70 (step @p328 :rule modus_ponens :premises (@p327 @p326)) % 105.84/106.70 (step @p329 :rule arith_sum_ub :premises (@p391 @p328 @p325)) % 105.84/106.70 (step @p330 false :rule eq_resolve :premises (@p329 @p318)) % 105.84/106.70 (step-pop @p393 :rule scope :premises (@p330)) % 105.84/106.70 (step @p331 :rule process_scope :premises (@p393) :args (false)) % 105.84/106.70 (step @p333 false :rule contra :premises (@p391 @p331)) % 105.84/106.70 (step-pop @p394 :rule scope :premises (@p333)) % 105.84/106.70 (step-pop @p395 :rule scope :premises (@p394)) % 105.84/106.70 (step-pop @p396 :rule scope :premises (@p395)) % 105.84/106.70 (step @p334 :rule process_scope :premises (@p396) :args (false)) % 105.84/106.70 (assume-push @p397 @t60) % 105.84/106.70 (assume-push @p398 @t137) % 105.84/106.70 (assume-push @p399 @t138) % 105.84/106.70 (step @p341 :rule and_intro :premises (@p108 @p109 @p398)) % 105.84/106.70 (step-pop @p400 :rule scope :premises (@p341)) % 105.84/106.70 (step-pop @p401 :rule scope :premises (@p400)) % 105.84/106.70 (step-pop @p402 :rule scope :premises (@p401)) % 105.84/106.70 (step @p342 :rule process_scope :premises (@p402) :args (@t147)) % 105.84/106.70 (step @p346 :rule implies_elim :premises (@p342)) % 105.84/106.70 (step @p347 :rule resolution :premises (@p346 @p334) :args (true @t147)) % 105.84/106.70 (step @p348 :rule not_and :premises (@p347)) % 105.84/106.70 (step @p349 :rule reordering :premises (@p348) :args ((or (not @t60) (not @t138) (not @t137)))) % 105.84/106.70 (step @p350 false :rule chain_m_resolution :premises (@p349 @p301 @p109 @p108) :args (false @t135 (@list @t137 @t138 @t60))) % 105.84/106.70 ) % 105.84/106.70 % SZS output end Proof % 105.84/106.70 % cvc5 exiting %------------------------------------------------------------------------------