%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN000_5 : TPTP v9.2.1. Bugfixed v5.5.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 09:07:45 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN000_5 : TPTP v9.2.1. Bugfixed v5.5.1. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 23:16:25 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_ARI % 0.39/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-const tptp.a_real Real) % 0.39/0.58 (declare-const tptp.a_rat Real) % 0.39/0.58 (declare-const tptp.a_int Int) % 0.39/0.58 (declare-const tptp.p_real (-> Real Bool)) % 0.39/0.58 (declare-const tptp.p_rat (-> Real Bool)) % 0.39/0.58 (declare-const tptp.p_int (-> Int Bool)) % 0.39/0.58 (define @t1 () (tptp.p_rat (/ 41 152))) % 0.39/0.58 (define @t2 () (tptp.p_real 123456000000000000000000000000000000000000000000000000000000000000000000000000000/1)) % 0.39/0.58 (define @t3 () (@var "Y" Int)) % 0.39/0.58 (define @t4 () (@var "X" Int)) % 0.39/0.58 (define @t5 () (@list @t4)) % 0.39/0.58 (define @t6 () (@var "Y" Real)) % 0.39/0.58 (define @t7 () (@var "X" Real)) % 0.39/0.58 (define @t8 () (@list @t6)) % 0.39/0.58 (define @t9 () (@list @t7)) % 0.39/0.58 (define @t10 () (/ 1 3)) % 0.39/0.58 (define @t11 () (/ 33 10)) % 0.39/0.58 (define @t12 () (- 3)) % 0.39/0.58 (define @t13 () (/ (- 1) 3)) % 0.39/0.58 (define @t14 () (/ (- 33) 10)) % 0.39/0.58 (define @t15 () (- @t10)) % 0.39/0.58 (define @t16 () (- @t11)) % 0.39/0.58 (define @t17 () (/ @t10 @t10)) % 0.39/0.58 (define @t18 () (/ @t11 @t11)) % 0.39/0.58 (define @t19 () (to_real 3)) % 0.39/0.58 (define @t20 () (/ @t19 @t19)) % 0.39/0.58 (define @t21 () (- (to_int (- @t20)))) % 0.39/0.58 (define @t22 () (to_int @t20)) % 0.39/0.58 (define @t23 () (>= @t19 0/1)) % 0.39/0.58 (define @t24 () (ite @t23 @t22 @t21)) % 0.39/0.58 (define @t25 () (- (to_int (- @t17)))) % 0.39/0.58 (define @t26 () (to_int @t17)) % 0.39/0.58 (define @t27 () (>= @t10 0/1)) % 0.39/0.58 (define @t28 () (to_real (ite @t27 @t26 @t25))) % 0.39/0.58 (define @t29 () (- (to_int (- @t18)))) % 0.39/0.58 (define @t30 () (to_int @t18)) % 0.39/0.58 (define @t31 () (>= @t11 0/1)) % 0.39/0.58 (define @t32 () (to_real (ite @t31 @t30 @t29))) % 0.39/0.58 (define @t33 () (ite (>= @t20 0/1) @t22 @t21)) % 0.39/0.58 (define @t34 () (to_real (ite (>= @t17 0/1) @t26 @t25))) % 0.39/0.58 (define @t35 () (to_real (ite (>= @t18 0/1) @t30 @t29))) % 0.39/0.58 (define @t36 () (to_real @t26)) % 0.39/0.58 (define @t37 () (to_real @t30)) % 0.39/0.58 (define @t38 () (to_int @t10)) % 0.39/0.58 (define @t39 () (to_int @t11)) % 0.39/0.58 (define @t40 () (- (to_int (- @t19)))) % 0.39/0.58 (define @t41 () (- (to_int @t15))) % 0.39/0.58 (define @t42 () (- (to_int @t16))) % 0.39/0.58 (define @t43 () (@var "R" Int)) % 0.39/0.58 (define @t44 () (@var "Q" Int)) % 0.39/0.58 (define @t45 () (to_int @t6)) % 0.39/0.58 (define @t46 () (or (< @t45 3) (> @t6 @t11))) % 0.39/0.58 (define @t47 () (+ @t4 2)) % 0.39/0.58 (define @t48 () (to_real @t47)) % 0.39/0.58 (define @t49 () (= @t6 @t48)) % 0.39/0.58 (define @t50 () (and @t49 @t46)) % 0.39/0.58 (define @t51 () (@list @t4 @t6 (@var "Z" Real))) % 0.39/0.58 (define @t52 () (exists @t51 @t50)) % 0.39/0.58 (define @t53 () (not @t52)) % 0.39/0.58 (define @t54 () (@var "BOUND_VARIABLE_8109" Int)) % 0.39/0.58 (define @t55 () (forall (@list @t54) (not (>= @t54 2)))) % 0.39/0.58 (define @t56 () (* -1 -2)) % 0.39/0.58 (define @t57 () (@var "BOUND_VARIABLE_8104" Int)) % 0.39/0.58 (define @t58 () (forall (@list @t57) (>= @t57 1))) % 0.39/0.58 (define @t59 () (+ (* -1 -1) -1)) % 0.39/0.58 (define @t60 () (not (>= @t4 2))) % 0.39/0.58 (define @t61 () (forall @t5 @t60)) % 0.39/0.58 (define @t62 () (@list @t4)) % 0.39/0.58 (define @t63 () (>= @t4 1)) % 0.39/0.58 (define @t64 () (forall @t5 @t63)) % 0.39/0.58 (define @t65 () (and @t64 @t61)) % 0.39/0.58 (define @t66 () (and @t63 @t60)) % 0.39/0.58 (define @t67 () (* -1 @t4)) % 0.39/0.58 (define @t68 () (+ @t4 1)) % 0.39/0.58 (define @t69 () (to_int -13/10)) % 0.39/0.58 (define @t70 () (to_real @t67)) % 0.39/0.58 (define @t71 () (to_real (+ -2 @t67))) % 0.39/0.58 (define @t72 () (+ 2 @t4)) % 0.39/0.58 (define @t73 () (to_real @t72)) % 0.39/0.58 (define @t74 () (* -1/1 @t73)) % 0.39/0.58 (define @t75 () (>= @t74 -33/10)) % 0.39/0.58 (define @t76 () (>= (to_int @t73) 3)) % 0.39/0.58 (define @t77 () (and @t76 @t75)) % 0.39/0.58 (define @t78 () (not (= @t73 @t73))) % 0.39/0.58 (define @t79 () (or @t78 @t77)) % 0.39/0.58 (define @t80 () (* -1/1 @t6)) % 0.39/0.58 (define @t81 () (>= @t80 -33/10)) % 0.39/0.58 (define @t82 () (>= @t45 3)) % 0.39/0.58 (define @t83 () (and @t82 @t81)) % 0.39/0.58 (define @t84 () (= @t6 @t73)) % 0.39/0.58 (define @t85 () (not @t84)) % 0.39/0.58 (define @t86 () (or @t85 @t85 @t83)) % 0.39/0.58 (define @t87 () (or @t85 @t83)) % 0.39/0.58 (define @t88 () (forall @t8 @t87)) % 0.39/0.58 (define @t89 () (forall @t5 @t88)) % 0.39/0.58 (define @t90 () (forall (@list @t4 @t6) @t87)) % 0.39/0.58 (define @t91 () (not @t81)) % 0.39/0.58 (define @t92 () (not @t82)) % 0.39/0.58 (define @t93 () (or @t92 @t91)) % 0.39/0.58 (define @t94 () (and @t84 @t93)) % 0.39/0.58 (define @t95 () (forall @t51 (not @t94))) % 0.39/0.58 (define @t96 () (not @t95)) % 0.39/0.58 (define @t97 () (<= @t6 @t11)) % 0.39/0.58 (assume @p1 (or (tptp.p_int 123) (tptp.p_int (- 123)))) % 0.39/0.58 (assume @p2 (or @t1 (tptp.p_rat (/ (- 41) 152)) @t1)) % 0.39/0.58 (assume @p3 (or (tptp.p_real (/ 15432 125)) (tptp.p_real (/ (- 15432) 125)) @t2 @t2 (tptp.p_real (- 123456000000000000000000000000000000000000000000000000000000000000000000000000000/1)) (tptp.p_real (/ 1929 15625000000000000000000000000000000000000000000000000000000000000000000000000000)) (tptp.p_real (/ (- 1929) 15625000000000000000000000000000000000000000000000000000000000000000000000000000)))) % 0.39/0.58 (assume @p4 (forall @t5 (exists (@list @t3) (=> (tptp.p_int @t4) (tptp.p_int @t3))))) % 0.39/0.58 (assume @p5 (forall @t9 (exists @t8 (=> (tptp.p_rat @t7) (tptp.p_rat @t6))))) % 0.39/0.58 (assume @p6 (forall @t9 (exists @t8 (=> (tptp.p_real @t7) (tptp.p_real @t6))))) % 0.39/0.58 (assume @p7 (< tptp.a_int 3)) % 0.39/0.58 (assume @p8 (< tptp.a_rat @t10)) % 0.39/0.58 (assume @p9 (< tptp.a_real @t11)) % 0.39/0.58 (assume @p10 (<= tptp.a_int 3)) % 0.39/0.58 (assume @p11 (<= tptp.a_rat @t10)) % 0.39/0.58 (assume @p12 (<= tptp.a_real @t11)) % 0.39/0.58 (assume @p13 (> tptp.a_int @t12)) % 0.39/0.58 (assume @p14 (> tptp.a_rat @t13)) % 0.39/0.58 (assume @p15 (> tptp.a_real @t14)) % 0.39/0.58 (assume @p16 (>= tptp.a_int @t12)) % 0.39/0.58 (assume @p17 (>= tptp.a_rat @t13)) % 0.39/0.58 (assume @p18 (>= tptp.a_real @t14)) % 0.39/0.58 (assume @p19 (= tptp.a_int 0)) % 0.39/0.58 (assume @p20 (= tptp.a_rat 0/1)) % 0.39/0.58 (assume @p21 (= tptp.a_real 0/1)) % 0.39/0.58 (assume @p22 (tptp.p_int @t12)) % 0.39/0.58 (assume @p23 (tptp.p_rat @t15)) % 0.39/0.58 (assume @p24 (tptp.p_real @t16)) % 0.39/0.58 (assume @p25 (tptp.p_int (+ 3 3))) % 0.39/0.58 (assume @p26 (tptp.p_rat (+ @t10 @t10))) % 0.39/0.58 (assume @p27 (tptp.p_real (+ @t11 @t11))) % 0.39/0.58 (assume @p28 (tptp.p_int (- 3 3))) % 0.39/0.58 (assume @p29 (tptp.p_rat (- @t10 @t10))) % 0.39/0.58 (assume @p30 (tptp.p_real (- @t11 @t11))) % 0.39/0.58 (assume @p31 (tptp.p_int (* 3 3))) % 0.39/0.58 (assume @p32 (tptp.p_rat (* @t10 @t10))) % 0.39/0.58 (assume @p33 (tptp.p_real (* @t11 @t11))) % 0.39/0.58 (assume @p34 (tptp.p_rat @t17)) % 0.39/0.58 (assume @p35 (tptp.p_real @t18)) % 0.39/0.58 (assume @p36 (tptp.p_int @t24)) % 0.39/0.58 (assume @p37 (tptp.p_rat @t28)) % 0.39/0.58 (assume @p38 (tptp.p_real @t32)) % 0.39/0.58 (assume @p39 (tptp.p_int @t33)) % 0.39/0.58 (assume @p40 (tptp.p_rat @t34)) % 0.39/0.58 (assume @p41 (tptp.p_real @t35)) % 0.39/0.58 (assume @p42 (tptp.p_int @t22)) % 0.39/0.58 (assume @p43 (tptp.p_rat @t36)) % 0.39/0.58 (assume @p44 (tptp.p_real @t37)) % 0.39/0.58 (assume @p45 (tptp.p_int (to_int (- @t19 (* (to_real @t24) @t19))))) % 0.39/0.58 (assume @p46 (tptp.p_rat (to_real (to_int (- @t10 (* @t28 @t10)))))) % 0.39/0.58 (assume @p47 (tptp.p_real (to_real (to_int (- @t11 (* @t32 @t11)))))) % 0.39/0.58 (assume @p48 (tptp.p_int (to_int (- @t19 (* (to_real @t33) @t19))))) % 0.39/0.58 (assume @p49 (tptp.p_rat (to_real (to_int (- @t10 (* @t34 @t10)))))) % 0.39/0.58 (assume @p50 (tptp.p_real (to_real (to_int (- @t11 (* @t35 @t11)))))) % 0.39/0.58 (assume @p51 (tptp.p_int (to_int (- @t19 (* (to_real @t22) @t19))))) % 0.39/0.58 (assume @p52 (tptp.p_rat (to_real (to_int (- @t10 (* @t36 @t10)))))) % 0.39/0.58 (assume @p53 (tptp.p_real (to_real (to_int (- @t11 (* @t37 @t11)))))) % 0.39/0.58 (assume @p54 (tptp.p_int (to_int 3/1))) % 0.39/0.58 (assume @p55 (tptp.p_rat (to_real @t38))) % 0.39/0.58 (assume @p56 (tptp.p_real (to_real @t39))) % 0.39/0.58 (assume @p57 (tptp.p_int @t40)) % 0.39/0.58 (assume @p58 (tptp.p_rat (to_real @t41))) % 0.39/0.58 (assume @p59 (tptp.p_real (to_real @t42))) % 0.39/0.58 (assume @p60 (tptp.p_int (ite @t23 (to_int @t19) @t40))) % 0.39/0.58 (assume @p61 (tptp.p_rat (to_real (ite @t27 @t38 @t41)))) % 0.39/0.58 (assume @p62 (tptp.p_real (to_real (ite @t31 @t39 @t42)))) % 0.39/0.58 (assume @p63 (exists @t5 (is_int (to_real @t4)))) % 0.39/0.58 (assume @p64 (exists @t9 (is_int @t7))) % 0.39/0.58 (assume @p65 (exists @t9 (exists (@list @t44 @t43) (and (not (= @t43 0)) (= (to_real @t44) (* @t7 (to_real @t43))))))) % 0.39/0.58 (assume @p66 (tptp.p_int @t38)) % 0.39/0.58 (assume @p67 (tptp.p_int @t39)) % 0.39/0.58 (assume @p68 (tptp.p_rat @t19)) % 0.39/0.58 (assume @p69 (tptp.p_rat @t10)) % 0.39/0.58 (assume @p70 (tptp.p_rat @t11)) % 0.39/0.58 (assume @p71 (tptp.p_real @t19)) % 0.39/0.58 (assume @p72 (tptp.p_real @t10)) % 0.39/0.58 (assume @p73 (tptp.p_real @t11)) % 0.39/0.58 (assume @p74 @t53) % 0.39/0.58 (assume @p75 true) % 0.39/0.58 (step @p76 :rule evaluate :args ((not true))) % 0.39/0.58 (step @p77 :rule evaluate :args ((not false))) % 0.39/0.58 (step @p78 :rule evaluate :args ((and false false))) % 0.39/0.58 (assume-push @p184 @t55) % 0.39/0.58 (step @p80 :rule evaluate :args ((not (>= @t56 2)))) % 0.39/0.58 (step @p81 :rule instantiate :premises (@p184) :args ((@list @t56))) % 0.39/0.58 (step @p82 false :rule eq_resolve :premises (@p81 @p80)) % 0.39/0.58 (step-pop @p185 :rule scope :premises (@p82)) % 0.39/0.58 (step @p83 :rule process_scope :premises (@p185) :args (false)) % 0.39/0.58 (step @p85 :rule false_intro :premises (@p83)) % 0.39/0.58 (assume-push @p186 @t58) % 0.39/0.58 (step @p87 :rule evaluate :args ((>= @t59 1))) % 0.39/0.58 (step @p88 :rule instantiate :premises (@p186) :args ((@list @t59))) % 0.39/0.58 (step @p89 false :rule eq_resolve :premises (@p88 @p87)) % 0.39/0.58 (step-pop @p187 :rule scope :premises (@p89)) % 0.39/0.58 (step @p90 :rule process_scope :premises (@p187) :args (false)) % 0.39/0.58 (step @p92 :rule false_intro :premises (@p90)) % 0.39/0.58 (step @p93 :rule nary_cong :premises (@p92 @p85) :args ((and @t58 @t55))) % 0.39/0.58 (step @p94 :rule trans :premises (@p93 @p78)) % 0.39/0.58 (step @p95 :rule alpha_equiv :args (@t61 @t62 (@list @t54))) % 0.39/0.58 (step @p96 :rule alpha_equiv :args (@t64 @t62 (@list @t57))) % 0.39/0.58 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t65)) % 0.39/0.58 (step @p98 :rule quant-miniscope-and :args ((= (forall @t5 @t66) @t65))) % 0.39/0.58 (step @p99 :rule trans :premises (@p98 @p97)) % 0.39/0.58 (step @p100 :rule trans :premises (@p99 @p94)) % 0.39/0.58 (step @p101 :rule aci_norm :args ((= (or false @t66) @t66))) % 0.39/0.58 (step @p102 :rule arith_poly_norm :args ((= (* 1 (- 2 @t68)) (* 1 (- @t67 -1))))) % 0.39/0.58 (step @p103 :rule arith_poly_norm_rel :premises (@p102) :args ((= (>= 2 @t68) (>= @t67 -1)))) % 0.39/0.58 (step @p104 :rule arith-geq-tighten :args (@t4 2)) % 0.39/0.58 (step @p105 :rule trans :premises (@p104 @p103)) % 0.39/0.58 (step @p106 :rule symm :premises (@p105)) % 0.39/0.58 (step @p107 :rule evaluate :args ((+ @t69 1))) % 0.39/0.58 (step @p108 :rule symm :premises (@p107)) % 0.39/0.58 (step @p109 :rule evaluate :args ((= (to_real @t69) -13/10))) % 0.39/0.58 (step @p110 :rule arith-int-geq-tighten :premises (@p109 @p108) :args (@t67 -13/10 -1)) % 0.39/0.58 (step @p111 :rule arith_poly_norm :args ((= (* 13/10 (- @t71 -33/10)) (* 13/10 (- @t70 -13/10))))) % 0.39/0.58 (step @p112 :rule arith_poly_norm_rel :premises (@p111) :args ((= (>= @t71 -33/10) (>= @t70 -13/10)))) % 0.39/0.58 (step @p113 :rule trans :premises (@p112 @p110 @p106)) % 0.39/0.58 (step @p114 :rule refl :args (-33/10)) % 0.39/0.58 (step @p115 :rule arith_poly_norm :args ((= @t74 @t71))) % 0.39/0.58 (step @p116 :rule cong :premises (@p115 @p114) :args (@t75)) % 0.39/0.58 (step @p117 :rule trans :premises (@p116 @p113)) % 0.39/0.58 (step @p118 :rule arith_poly_norm :args ((= (* -1 (- @t72 3)) (* -1 (- @t4 1))))) % 0.39/0.58 (step @p119 :rule arith_poly_norm_rel :premises (@p118) :args ((= (>= @t72 3) @t63))) % 0.39/0.58 (step @p120 :rule refl :args (3)) % 0.39/0.58 (step @p121 :rule arith-to-int-elim-to-real :args (@t72)) % 0.39/0.58 (step @p122 :rule cong :premises (@p121 @p120) :args (@t76)) % 0.39/0.58 (step @p123 :rule trans :premises (@p122 @p119)) % 0.39/0.58 (step @p124 :rule nary_cong :premises (@p123 @p117) :args (@t77)) % 0.39/0.58 (step @p125 :rule eq-refl :args (@t73)) % 0.39/0.58 (step @p126 :rule cong :premises (@p125) :args (@t78)) % 0.39/0.58 (step @p127 :rule trans :premises (@p126 @p76)) % 0.39/0.58 (step @p128 :rule nary_cong :premises (@p127 @p124) :args (@t79)) % 0.39/0.58 (step @p129 :rule trans :premises (@p128 @p101)) % 0.39/0.58 (step @p130 :rule cong :premises (@p129) :args ((forall @t5 @t79))) % 0.39/0.58 (step @p131 :rule trans :premises (@p130 @p100)) % 0.39/0.58 (step @p132 :rule quant-var-elim-eq :args ((= (forall @t8 @t86) @t79))) % 0.39/0.58 (step @p133 :rule aci_norm :args ((= @t87 @t86))) % 0.39/0.58 (step @p134 :rule cong :premises (@p133) :args (@t88)) % 0.39/0.58 (step @p135 :rule trans :premises (@p134 @p132)) % 0.39/0.58 (step @p136 :rule cong :premises (@p135) :args (@t89)) % 0.39/0.58 (step @p137 :rule quant-merge-prenex :args ((= @t89 @t90))) % 0.39/0.58 (step @p138 :rule symm :premises (@p137)) % 0.39/0.58 (step @p139 :rule trans :premises (@p138 @p136)) % 0.39/0.58 (step @p140 :rule trans :premises (@p139 @p131)) % 0.39/0.58 (step @p141 :rule quant-unused-vars :args ((= (forall @t51 @t87) @t90))) % 0.39/0.58 (step @p142 :rule trans :premises (@p141 @p140)) % 0.39/0.58 (step @p143 :rule bool-double-not-elim :args (@t81)) % 0.39/0.58 (step @p144 :rule bool-double-not-elim :args (@t82)) % 0.39/0.58 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((and (not @t92) (not @t91)))) % 0.39/0.58 (step @p146 :rule bool-or-de-morgan :args (@t92 @t91 false)) % 0.39/0.58 (step @p147 :rule trans :premises (@p146 @p145)) % 0.39/0.58 (step @p148 :rule refl :args (@t85)) % 0.39/0.58 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t85 (not @t93)))) % 0.39/0.58 (step @p150 :rule bool-and-de-morgan :args (@t84 @t93 true)) % 0.39/0.58 (step @p151 :rule trans :premises (@p150 @p149)) % 0.39/0.58 (step @p152 :rule cong :premises (@p151) :args (@t95)) % 0.39/0.58 (step @p153 :rule trans :premises (@p152 @p142)) % 0.39/0.58 (step @p154 :rule cong :premises (@p153) :args (@t96)) % 0.39/0.58 (step @p155 :rule trans :premises (@p154 @p77)) % 0.39/0.58 (step @p156 :rule exists-elim :args ((= (exists @t51 @t94) @t96))) % 0.39/0.58 (step @p157 :rule trans :premises (@p156 @p155)) % 0.39/0.58 (step @p158 :rule arith_poly_norm :args ((= (* 33/10 (- 33/10 @t6)) (* 33/10 (- @t80 -33/10))))) % 0.39/0.58 (step @p159 :rule arith_poly_norm_rel :premises (@p158) :args ((= (>= 33/10 @t6) @t81))) % 0.39/0.58 (step @p160 :rule arith-elim-leq :args (@t6 33/10)) % 0.39/0.58 (step @p161 :rule trans :premises (@p160 @p159)) % 0.39/0.58 (step @p162 :rule evaluate :args (@t11)) % 0.39/0.58 (step @p163 :rule refl :args (@t6)) % 0.39/0.58 (step @p164 :rule cong :premises (@p163 @p162) :args (@t97)) % 0.39/0.58 (step @p165 :rule trans :premises (@p164 @p161)) % 0.39/0.58 (step @p166 :rule cong :premises (@p165) :args ((not @t97))) % 0.39/0.58 (step @p167 :rule arith-elim-leq :args (@t6 @t11)) % 0.39/0.58 (step @p168 :rule symm :premises (@p167)) % 0.39/0.58 (step @p169 :rule cong :premises (@p168) :args ((not (>= @t11 @t6)))) % 0.39/0.58 (step @p170 :rule arith-elim-gt :args (@t6 @t11)) % 0.39/0.58 (step @p171 :rule trans :premises (@p170 @p169)) % 0.39/0.58 (step @p172 :rule trans :premises (@p171 @p166)) % 0.39/0.58 (step @p173 :rule arith-elim-lt :args (@t45 3)) % 0.39/0.58 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t46)) % 0.39/0.58 (step @p175 :rule arith_poly_norm :args ((= @t47 @t72))) % 0.39/0.58 (step @p176 :rule cong :premises (@p175) :args (@t48)) % 0.39/0.58 (step @p177 :rule cong :premises (@p163 @p176) :args (@t49)) % 0.39/0.58 (step @p178 :rule nary_cong :premises (@p177 @p174) :args (@t50)) % 0.39/0.58 (step @p179 :rule cong :premises (@p178) :args (@t52)) % 0.39/0.58 (step @p180 :rule trans :premises (@p179 @p157)) % 0.39/0.58 (step @p181 :rule cong :premises (@p180) :args (@t53)) % 0.39/0.58 (step @p182 :rule trans :premises (@p181 @p76)) % 0.39/0.58 (step @p183 false :rule eq_resolve :premises (@p74 @p182)) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------