%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GEG023_1 : TPTP v9.2.1. Bugfixed v5.2.0. % 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 08:16:00 AM UTC 2026 % Result : Theorem 0.43s 0.66s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GEG023_1 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n026.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Mon Jun 1 23:04:25 EDT 2026 % 0.14/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_ARI % 0.43/0.66 --- Run --finite-model-find --decision=internal at 45... % 0.43/0.66 % SZS status Theorem % 0.43/0.66 % SZS output start Proof % 0.43/0.66 ( % 0.43/0.66 (declare-sort tptp.city 0) % 0.43/0.66 (declare-const tptp.cologne tptp.city) % 0.43/0.66 (declare-const tptp.hamburg tptp.city) % 0.43/0.66 (declare-const tptp.berlin tptp.city) % 0.43/0.66 (declare-const tptp.frankfurt tptp.city) % 0.43/0.66 (declare-const tptp.munich tptp.city) % 0.43/0.66 (declare-const tptp.d (-> tptp.city tptp.city Int)) % 0.43/0.66 (declare-const tptp.kiel tptp.city) % 0.43/0.66 (declare-const tptp.saarbruecken tptp.city) % 0.43/0.66 (define @t1 () (tptp.d tptp.kiel tptp.saarbruecken)) % 0.43/0.66 (define @t2 () (= (tptp.d tptp.munich tptp.saarbruecken) 360)) % 0.43/0.66 (define @t3 () (= (tptp.d tptp.munich tptp.frankfurt) 300)) % 0.43/0.66 (define @t4 () (= (tptp.d tptp.hamburg tptp.berlin) 250)) % 0.43/0.66 (define @t5 () (tptp.d tptp.hamburg tptp.kiel)) % 0.43/0.66 (define @t6 () (= @t5 90)) % 0.43/0.66 (define @t7 () (= (tptp.d tptp.cologne tptp.frankfurt) 150)) % 0.43/0.66 (define @t8 () (tptp.d tptp.hamburg tptp.frankfurt)) % 0.43/0.66 (define @t9 () (= @t8 390)) % 0.43/0.66 (define @t10 () (= (tptp.d tptp.hamburg tptp.cologne) 360)) % 0.43/0.66 (define @t11 () (= (tptp.d tptp.saarbruecken tptp.cologne) 190)) % 0.43/0.66 (define @t12 () (tptp.d tptp.saarbruecken tptp.frankfurt)) % 0.43/0.66 (define @t13 () (= @t12 160)) % 0.43/0.66 (define @t14 () (= (tptp.d tptp.berlin tptp.frankfurt) 420)) % 0.43/0.66 (define @t15 () (= (tptp.d tptp.berlin tptp.cologne) 480)) % 0.43/0.66 (define @t16 () (= (tptp.d tptp.berlin tptp.munich) 510)) % 0.43/0.66 (define @t17 () (@var "X" tptp.city)) % 0.43/0.66 (define @t18 () (forall (@list @t17) (= (tptp.d @t17 @t17) 0))) % 0.43/0.66 (define @t19 () (@var "Z" tptp.city)) % 0.43/0.66 (define @t20 () (@var "Y" tptp.city)) % 0.43/0.66 (define @t21 () (tptp.d @t20 @t19)) % 0.43/0.66 (define @t22 () (tptp.d @t17 @t20)) % 0.43/0.66 (define @t23 () (+ @t22 @t21)) % 0.43/0.66 (define @t24 () (tptp.d @t17 @t19)) % 0.43/0.66 (define @t25 () (@list @t17 @t20 @t19)) % 0.43/0.66 (define @t26 () (forall @t25 (<= @t24 @t23))) % 0.43/0.66 (define @t27 () (forall (@list @t17 @t20) (= @t22 (tptp.d @t20 @t17)))) % 0.43/0.66 (define @t28 () (and @t27 @t26 @t18 @t16 @t15 @t14 @t13 @t11 @t10 @t9 @t7 @t6 @t4 @t3 @t2)) % 0.43/0.66 (define @t29 () (=> @t28 (<= @t1 640))) % 0.43/0.66 (define @t30 () (not @t29)) % 0.43/0.66 (define @t31 () (>= @t1 641)) % 0.43/0.66 (define @t32 () (not @t31)) % 0.43/0.66 (define @t33 () (+ @t22 (* -1 @t24) @t21)) % 0.43/0.66 (define @t34 () (>= @t33 0)) % 0.43/0.66 (define @t35 () (forall @t25 @t34)) % 0.43/0.66 (define @t36 () (= 360 360)) % 0.43/0.66 (define @t37 () (= 300 300)) % 0.43/0.66 (define @t38 () (= 250 250)) % 0.43/0.66 (define @t39 () (= 90 90)) % 0.43/0.66 (define @t40 () (= 150 150)) % 0.43/0.66 (define @t41 () (= 390 390)) % 0.43/0.66 (define @t42 () (= 190 190)) % 0.43/0.66 (define @t43 () (= 160 160)) % 0.43/0.66 (define @t44 () (= 420 420)) % 0.43/0.66 (define @t45 () (= 480 480)) % 0.43/0.66 (define @t46 () (= 510 510)) % 0.43/0.66 (define @t47 () (and @t27 @t35 @t18 @t46 @t45 @t44 @t43 @t42 @t36 @t41 @t40 @t39 @t38 @t37 @t36)) % 0.43/0.66 (define @t48 () (=> @t47 @t32)) % 0.43/0.66 (define @t49 () (+ 640 1)) % 0.43/0.66 (define @t50 () (>= @t1 @t49)) % 0.43/0.66 (define @t51 () (and @t27 @t35 @t18 @t16 @t15 @t14 @t13 @t11 @t10 @t9 @t7 @t6 @t4 @t3 @t2)) % 0.43/0.66 (define @t52 () (=> @t51 @t32)) % 0.43/0.66 (define @t53 () (@list tptp.saarbruecken tptp.frankfurt)) % 0.43/0.66 (define @t54 () (@list tptp.hamburg tptp.kiel)) % 0.43/0.66 (define @t55 () (tptp.d tptp.kiel tptp.frankfurt)) % 0.43/0.66 (define @t56 () (tptp.d tptp.frankfurt tptp.saarbruecken)) % 0.43/0.66 (define @t57 () (* -1 @t1)) % 0.43/0.66 (define @t58 () (+ @t57 @t56 @t55)) % 0.43/0.66 (define @t59 () (* -1 @t55)) % 0.43/0.66 (define @t60 () (* -1 @t56)) % 0.43/0.66 (define @t61 () (+ @t1 @t60 @t59)) % 0.43/0.66 (define @t62 () (+ @t61 1)) % 0.43/0.66 (define @t63 () (+ @t55 @t57 @t56)) % 0.43/0.66 (define @t64 () (>= @t63 0)) % 0.43/0.66 (define @t65 () (>= @t61 1)) % 0.43/0.66 (define @t66 () (not @t65)) % 0.43/0.66 (define @t67 () (@list false)) % 0.43/0.66 (define @t68 () (@list @t35)) % 0.43/0.66 (define @t69 () (tptp.d tptp.kiel tptp.hamburg)) % 0.43/0.66 (define @t70 () (+ @t8 @t69 @t59)) % 0.43/0.66 (define @t71 () (+ @t69 @t59 @t8)) % 0.43/0.66 (define @t72 () (>= @t71 0)) % 0.43/0.66 (define @t73 () (>= @t70 0)) % 0.43/0.66 (define @t74 () (not @t73)) % 0.43/0.66 (define @t75 () (= @t5 @t69)) % 0.43/0.66 (define @t76 () (not @t75)) % 0.43/0.66 (define @t77 () (= @t12 @t56)) % 0.43/0.66 (define @t78 () (not @t77)) % 0.43/0.66 (define @t79 () (not @t6)) % 0.43/0.66 (define @t80 () (not @t9)) % 0.43/0.66 (define @t81 () (not @t13)) % 0.43/0.66 (define @t82 () (= 90 @t69)) % 0.43/0.66 (define @t83 () (= 160 @t56)) % 0.43/0.66 (define @t84 () (* -1 641)) % 0.43/0.66 (define @t85 () (* -1 0)) % 0.43/0.66 (define @t86 () (+ @t85 160 @t84 1 90 390)) % 0.43/0.66 (define @t87 () (* 0 @t8)) % 0.43/0.66 (define @t88 () (* 0 @t69)) % 0.43/0.66 (define @t89 () (* 0 @t55)) % 0.43/0.66 (define @t90 () (+ @t60 @t89 @t88 @t56 @t57 @t1 @t87)) % 0.43/0.66 (define @t91 () (+ (* -1 @t70) @t56 @t57 @t61 @t69 @t8)) % 0.43/0.66 (define @t92 () (>= @t91 @t86)) % 0.43/0.66 (define @t93 () (and @t9 @t82 @t66 @t31 @t83 @t73)) % 0.43/0.66 (assume @p1 @t30) % 0.43/0.66 (assume @p2 true) % 0.43/0.66 (step @p3 :rule refl :args (@t32)) % 0.43/0.66 (step @p4 :rule aci_norm :args ((= (and @t27 @t35 @t18 true true true true true true true true true true true true) (and @t27 @t35 @t18)))) % 0.43/0.66 (step @p5 :rule evaluate :args (@t36)) % 0.43/0.66 (step @p6 :rule evaluate :args (@t37)) % 0.43/0.66 (step @p7 :rule evaluate :args (@t38)) % 0.43/0.66 (step @p8 :rule evaluate :args (@t39)) % 0.43/0.66 (step @p9 :rule evaluate :args (@t40)) % 0.43/0.66 (step @p10 :rule evaluate :args (@t41)) % 0.43/0.66 (step @p11 :rule evaluate :args (@t42)) % 0.43/0.66 (step @p12 :rule evaluate :args (@t43)) % 0.43/0.66 (step @p13 :rule evaluate :args (@t44)) % 0.43/0.66 (step @p14 :rule evaluate :args (@t45)) % 0.43/0.66 (step @p15 :rule evaluate :args (@t46)) % 0.43/0.66 (step @p16 :rule refl :args (@t18)) % 0.43/0.66 (step @p17 :rule refl :args (@t35)) % 0.43/0.66 (step @p18 :rule refl :args (@t27)) % 0.43/0.66 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p5 @p10 @p9 @p8 @p7 @p6 @p5) :args (@t47)) % 0.43/0.66 (step @p20 :rule trans :premises (@p19 @p4)) % 0.43/0.66 (step @p21 :rule cong :premises (@p20 @p3) :args (@t48)) % 0.43/0.66 (step @p22 :rule cong :premises (@p21) :args ((not @t48))) % 0.43/0.66 (step @p23 :rule refl :args (360)) % 0.43/0.66 (step @p24 :rule evaluate :args (@t49)) % 0.43/0.66 (step @p25 :rule refl :args (@t1)) % 0.43/0.66 (step @p26 :rule cong :premises (@p25 @p24) :args (@t50)) % 0.43/0.66 (step @p27 :rule cong :premises (@p26) :args ((not @t50))) % 0.43/0.66 (step @p28 :rule arith-leq-norm :args (@t1 640)) % 0.43/0.66 (step @p29 :rule trans :premises (@p28 @p27)) % 0.43/0.66 (step @p30 :rule refl :args (@t2)) % 0.43/0.66 (step @p31 :rule refl :args (@t3)) % 0.43/0.66 (step @p32 :rule refl :args (@t4)) % 0.43/0.66 (step @p33 :rule refl :args (@t6)) % 0.43/0.66 (step @p34 :rule refl :args (@t7)) % 0.43/0.66 (step @p35 :rule refl :args (@t9)) % 0.43/0.66 (step @p36 :rule refl :args (@t10)) % 0.43/0.66 (step @p37 :rule refl :args (@t11)) % 0.43/0.66 (step @p38 :rule refl :args (@t13)) % 0.43/0.66 (step @p39 :rule refl :args (@t14)) % 0.43/0.66 (step @p40 :rule refl :args (@t15)) % 0.43/0.66 (step @p41 :rule refl :args (@t16)) % 0.43/0.66 (step @p42 :rule arith_poly_norm :args ((= (* 1 (- @t23 @t24)) (* 1 (- @t33 0))))) % 0.43/0.66 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= (>= @t23 @t24) @t34))) % 0.43/0.66 (step @p44 :rule arith-elim-leq :args (@t24 @t23)) % 0.43/0.66 (step @p45 :rule trans :premises (@p44 @p43)) % 0.43/0.66 (step @p46 :rule cong :premises (@p45) :args (@t26)) % 0.43/0.66 (step @p47 :rule nary_cong :premises (@p18 @p46 @p16 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30) :args (@t28)) % 0.43/0.66 (step @p48 :rule cong :premises (@p47 @p29) :args (@t29)) % 0.43/0.66 (step @p49 :rule cong :premises (@p48) :args (@t30)) % 0.43/0.66 (step @p50 :rule eq_resolve :premises (@p1 @p49)) % 0.43/0.66 (step @p51 :rule not_implies_elim1 :premises (@p50)) % 0.43/0.66 (step @p52 :rule and_elim :premises (@p51) :args (14)) % 0.43/0.66 (step @p53 :rule cong :premises (@p52 @p23) :args (@t2)) % 0.43/0.66 (step @p54 :rule refl :args (300)) % 0.43/0.66 (step @p55 :rule and_elim :premises (@p51) :args (13)) % 0.43/0.66 (step @p56 :rule cong :premises (@p55 @p54) :args (@t3)) % 0.43/0.66 (step @p57 :rule refl :args (250)) % 0.43/0.66 (step @p58 :rule and_elim :premises (@p51) :args (12)) % 0.43/0.66 (step @p59 :rule cong :premises (@p58 @p57) :args (@t4)) % 0.43/0.66 (step @p60 :rule refl :args (90)) % 0.43/0.66 (step @p61 :rule and_elim :premises (@p51) :args (11)) % 0.43/0.66 (step @p62 :rule cong :premises (@p61 @p60) :args (@t6)) % 0.43/0.66 (step @p63 :rule refl :args (150)) % 0.43/0.66 (step @p64 :rule and_elim :premises (@p51) :args (10)) % 0.43/0.66 (step @p65 :rule cong :premises (@p64 @p63) :args (@t7)) % 0.43/0.66 (step @p66 :rule refl :args (390)) % 0.43/0.66 (step @p67 :rule and_elim :premises (@p51) :args (9)) % 0.43/0.66 (step @p68 :rule cong :premises (@p67 @p66) :args (@t9)) % 0.43/0.66 (step @p69 :rule and_elim :premises (@p51) :args (8)) % 0.43/0.66 (step @p70 :rule cong :premises (@p69 @p23) :args (@t10)) % 0.43/0.66 (step @p71 :rule refl :args (190)) % 0.43/0.66 (step @p72 :rule and_elim :premises (@p51) :args (7)) % 0.43/0.66 (step @p73 :rule cong :premises (@p72 @p71) :args (@t11)) % 0.43/0.66 (step @p74 :rule refl :args (160)) % 0.43/0.66 (step @p75 :rule and_elim :premises (@p51) :args (6)) % 0.43/0.66 (step @p76 :rule cong :premises (@p75 @p74) :args (@t13)) % 0.43/0.66 (step @p77 :rule refl :args (420)) % 0.43/0.66 (step @p78 :rule and_elim :premises (@p51) :args (5)) % 0.43/0.66 (step @p79 :rule cong :premises (@p78 @p77) :args (@t14)) % 0.43/0.66 (step @p80 :rule refl :args (480)) % 0.43/0.66 (step @p81 :rule and_elim :premises (@p51) :args (4)) % 0.43/0.66 (step @p82 :rule cong :premises (@p81 @p80) :args (@t15)) % 0.43/0.66 (step @p83 :rule refl :args (510)) % 0.43/0.66 (step @p84 :rule and_elim :premises (@p51) :args (3)) % 0.43/0.66 (step @p85 :rule cong :premises (@p84 @p83) :args (@t16)) % 0.43/0.66 (step @p86 :rule nary_cong :premises (@p18 @p17 @p16 @p85 @p82 @p79 @p76 @p73 @p70 @p68 @p65 @p62 @p59 @p56 @p53) :args (@t51)) % 0.43/0.66 (step @p87 :rule cong :premises (@p86 @p3) :args (@t52)) % 0.43/0.66 (step @p88 :rule cong :premises (@p87) :args ((not @t52))) % 0.43/0.66 (step @p89 :rule trans :premises (@p88 @p22)) % 0.43/0.66 (step @p90 :rule trans :premises (@p49 @p89)) % 0.43/0.66 (step @p91 :rule eq_resolve :premises (@p1 @p90)) % 0.43/0.66 (step @p92 :rule not_implies_elim2 :premises (@p91)) % 0.43/0.66 (step @p93 :rule not_not_elim :premises (@p92)) % 0.43/0.66 (step @p94 :rule not_implies_elim1 :premises (@p91)) % 0.43/0.66 (step @p95 :rule and_elim :premises (@p94) :args (0)) % 0.43/0.66 (step @p96 :rule instantiate :premises (@p95) :args (@t53)) % 0.43/0.66 (step @p97 :rule instantiate :premises (@p95) :args (@t54)) % 0.43/0.66 (step @p98 :rule and_elim :premises (@p94) :args (1)) % 0.43/0.66 (step @p99 :rule arith_poly_norm :args ((= (* -1 (- 1 @t62)) (* -1 (- @t58 0))))) % 0.43/0.66 (step @p100 :rule arith_poly_norm_rel :premises (@p99) :args ((= (>= 1 @t62) (>= @t58 0)))) % 0.43/0.66 (step @p101 :rule arith-geq-tighten :args (@t61 1)) % 0.43/0.66 (step @p102 :rule trans :premises (@p101 @p100)) % 0.43/0.66 (step @p103 :rule symm :premises (@p102)) % 0.43/0.66 (step @p104 :rule refl :args (0)) % 0.43/0.66 (step @p105 :rule arith_poly_norm :args ((= @t63 @t58))) % 0.43/0.66 (step @p106 :rule cong :premises (@p105 @p104) :args (@t64)) % 0.43/0.66 (step @p107 :rule trans :premises (@p106 @p103)) % 0.43/0.66 (step @p108 :rule cong :premises (@p17 @p107) :args ((=> @t35 @t64))) % 0.43/0.66 (assume-push @p228 @t35) % 0.43/0.66 (step @p110 :rule instantiate :premises (@p98) :args ((@list tptp.kiel tptp.frankfurt tptp.saarbruecken))) % 0.43/0.66 (step-pop @p229 :rule scope :premises (@p110)) % 0.43/0.66 (step @p111 :rule process_scope :premises (@p229) :args (@t64)) % 0.43/0.66 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 0.43/0.66 (step @p114 :rule implies_elim :premises (@p113)) % 0.43/0.66 (step @p115 :rule chain_m_resolution :premises (@p114 @p98) :args (@t66 @t67 @t68)) % 0.43/0.66 (step @p116 :rule arith_poly_norm :args ((= @t71 @t70))) % 0.43/0.66 (step @p117 :rule cong :premises (@p116 @p104) :args (@t72)) % 0.43/0.66 (step @p118 :rule cong :premises (@p17 @p117) :args ((=> @t35 @t72))) % 0.43/0.66 (assume-push @p230 @t35) % 0.43/0.66 (step @p120 :rule instantiate :premises (@p98) :args ((@list tptp.kiel tptp.hamburg tptp.frankfurt))) % 0.43/0.66 (step-pop @p231 :rule scope :premises (@p120)) % 0.43/0.66 (step @p121 :rule process_scope :premises (@p231) :args (@t72)) % 0.43/0.66 (step @p123 :rule eq_resolve :premises (@p121 @p118)) % 0.43/0.66 (step @p124 :rule implies_elim :premises (@p123)) % 0.43/0.66 (step @p125 :rule chain_m_resolution :premises (@p124 @p98) :args (@t73 @t67 @t68)) % 0.43/0.66 (step @p126 :rule refl :args (@t74)) % 0.43/0.66 (step @p127 :rule bool-double-not-elim :args (@t65)) % 0.43/0.66 (step @p128 :rule refl :args (@t76)) % 0.43/0.66 (step @p129 :rule refl :args (@t78)) % 0.43/0.66 (step @p130 :rule refl :args (@t79)) % 0.43/0.66 (step @p131 :rule refl :args (@t80)) % 0.43/0.66 (step @p132 :rule refl :args (@t81)) % 0.43/0.66 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130 @p3 @p129 @p128 @p127 @p126) :args ((or @t81 @t80 @t79 @t32 @t78 @t76 (not @t66) @t74))) % 0.43/0.66 (assume-push @p232 @t9) % 0.43/0.66 (assume-push @p233 @t82) % 0.43/0.66 (assume-push @p234 @t66) % 0.43/0.66 (assume-push @p235 @t31) % 0.43/0.66 (assume-push @p236 @t83) % 0.43/0.66 (assume-push @p237 @t73) % 0.43/0.66 (step @p140 :rule arith-elim-lt :args (@t70 0)) % 0.43/0.66 (step @p141 :rule symm :premises (@p140)) % 0.43/0.66 (assume-push @p238 @t73) % 0.43/0.66 (step @p143 :rule evaluate :args ((not true))) % 0.43/0.66 (step @p144 :rule evaluate :args ((>= 0 0))) % 0.43/0.66 (step @p145 :rule evaluate :args ((+ 0 160 -641 1 90 390))) % 0.43/0.66 (step @p146 :rule refl :args (1)) % 0.43/0.66 (step @p147 :rule evaluate :args (@t84)) % 0.43/0.66 (step @p148 :rule evaluate :args (@t85)) % 0.43/0.66 (step @p149 :rule nary_cong :premises (@p148 @p74 @p147 @p146 @p60 @p66) :args (@t86)) % 0.43/0.66 (step @p150 :rule trans :premises (@p149 @p145)) % 0.43/0.66 (step @p151 :rule arith_poly_norm :args ((= (+ @t60 0 0 @t56 @t57 @t1 0) 0))) % 0.43/0.66 (step @p152 :rule arith_poly_norm :args ((= @t87 0))) % 0.43/0.66 (step @p153 :rule refl :args (@t1)) % 0.43/0.66 (step @p154 :rule refl :args (@t57)) % 0.43/0.66 (step @p155 :rule refl :args (@t56)) % 0.43/0.66 (step @p156 :rule arith_poly_norm :args ((= @t88 0))) % 0.43/0.66 (step @p157 :rule arith_poly_norm :args ((= @t89 0))) % 0.43/0.66 (step @p158 :rule refl :args (@t60)) % 0.43/0.66 (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155 @p154 @p153 @p152) :args (@t90)) % 0.43/0.66 (step @p160 :rule trans :premises (@p159 @p151)) % 0.43/0.66 (step @p161 :rule arith_poly_norm :args ((= @t91 @t90))) % 0.43/0.66 (step @p162 :rule trans :premises (@p161 @p160)) % 0.43/0.66 (step @p163 :rule cong :premises (@p162 @p150) :args (@t92)) % 0.43/0.66 (step @p164 :rule trans :premises (@p163 @p144)) % 0.43/0.66 (step @p165 :rule cong :premises (@p164) :args ((not @t92))) % 0.43/0.66 (step @p166 :rule trans :premises (@p165 @p143)) % 0.43/0.66 (step @p167 :rule arith-elim-lt :args (@t91 @t86)) % 0.43/0.66 (step @p168 :rule trans :premises (@p167 @p166)) % 0.43/0.66 (step @p169 :rule instantiate :premises (@p95) :args (@t54)) % 0.43/0.66 (step @p170 :rule symm :premises (@p61)) % 0.43/0.66 (step @p171 :rule trans :premises (@p170 @p169)) % 0.43/0.66 (step @p172 :rule symm :premises (@p171)) % 0.43/0.66 (step @p173 :rule arith-elim-lt :args (@t61 1)) % 0.43/0.66 (step @p174 :rule symm :premises (@p173)) % 0.43/0.66 (step @p175 :rule eq_resolve :premises (@p115 @p174)) % 0.43/0.66 (step @p176 :rule arith_mult_neg :args (-1 @t31)) % 0.43/0.66 (step @p177 :rule evaluate :args ((< -1 0))) % 0.43/0.66 (step @p178 :rule true_elim :premises (@p177)) % 0.43/0.66 (step @p179 :rule and_intro :premises (@p178 @p93)) % 0.43/0.66 (step @p180 :rule modus_ponens :premises (@p179 @p176)) % 0.43/0.66 (step @p181 :rule instantiate :premises (@p95) :args (@t53)) % 0.43/0.66 (step @p182 :rule symm :premises (@p75)) % 0.43/0.66 (step @p183 :rule trans :premises (@p182 @p181)) % 0.43/0.66 (step @p184 :rule symm :premises (@p183)) % 0.43/0.66 (step @p185 :rule arith_mult_neg :args (-1 @t73)) % 0.43/0.66 (step @p186 :rule and_intro :premises (@p178 @p125)) % 0.43/0.66 (step @p187 :rule modus_ponens :premises (@p186 @p185)) % 0.43/0.66 (step @p188 :rule arith_sum_ub :premises (@p187 @p184 @p180 @p175 @p172 @p67)) % 0.43/0.66 (step @p189 false :rule eq_resolve :premises (@p188 @p168)) % 0.43/0.66 (step-pop @p239 :rule scope :premises (@p189)) % 0.43/0.66 (step @p190 :rule process_scope :premises (@p239) :args (false)) % 0.43/0.66 (step @p192 :rule eq_resolve :premises (@p190 @p141)) % 0.43/0.66 (step @p193 :rule eq_resolve :premises (@p192 @p140)) % 0.43/0.66 (step @p194 false :rule contra :premises (@p125 @p193)) % 0.43/0.66 (step-pop @p240 :rule scope :premises (@p194)) % 0.43/0.66 (step-pop @p241 :rule scope :premises (@p240)) % 0.43/0.66 (step-pop @p242 :rule scope :premises (@p241)) % 0.43/0.66 (step-pop @p243 :rule scope :premises (@p242)) % 0.43/0.66 (step-pop @p244 :rule scope :premises (@p243)) % 0.43/0.66 (step-pop @p245 :rule scope :premises (@p244)) % 0.43/0.66 (step @p195 :rule process_scope :premises (@p245) :args (false)) % 0.43/0.66 (assume-push @p246 @t13) % 0.43/0.66 (assume-push @p247 @t9) % 0.43/0.66 (assume-push @p248 @t6) % 0.43/0.66 (assume-push @p249 @t31) % 0.43/0.66 (assume-push @p250 @t77) % 0.43/0.66 (assume-push @p251 @t75) % 0.43/0.66 (assume-push @p252 @t66) % 0.43/0.66 (assume-push @p253 @t73) % 0.43/0.66 (step @p182 :rule symm :premises (@p75)) % 0.43/0.66 (step @p210 :rule trans :premises (@p182 @p96)) % 0.43/0.66 (step @p170 :rule symm :premises (@p61)) % 0.43/0.66 (step @p211 :rule trans :premises (@p170 @p97)) % 0.43/0.66 (step @p212 :rule and_intro :premises (@p67 @p211 @p115 @p93 @p210 @p125)) % 0.43/0.66 (step-pop @p254 :rule scope :premises (@p212)) % 0.43/0.66 (step-pop @p255 :rule scope :premises (@p254)) % 0.43/0.66 (step-pop @p256 :rule scope :premises (@p255)) % 0.43/0.66 (step-pop @p257 :rule scope :premises (@p256)) % 0.43/0.66 (step-pop @p258 :rule scope :premises (@p257)) % 0.43/0.66 (step-pop @p259 :rule scope :premises (@p258)) % 0.43/0.66 (step-pop @p260 :rule scope :premises (@p259)) % 0.43/0.66 (step-pop @p261 :rule scope :premises (@p260)) % 0.43/0.66 (step @p213 :rule process_scope :premises (@p261) :args (@t93)) % 0.43/0.66 (step @p222 :rule implies_elim :premises (@p213)) % 0.43/0.66 (step @p223 :rule resolution :premises (@p222 @p195) :args (true @t93)) % 0.43/0.66 (step @p224 :rule not_and :premises (@p223)) % 0.43/0.66 (step @p225 :rule eq_resolve :premises (@p224 @p133)) % 0.43/0.66 (step @p226 :rule reordering :premises (@p225) :args ((or @t32 @t81 @t80 @t79 @t78 @t76 @t65 @t74))) % 0.43/0.66 (step @p227 false :rule chain_m_resolution :premises (@p226 @p125 @p115 @p97 @p96 @p61 @p67 @p75 @p93) :args (false (@list false true false false false false false false) (@list @t73 @t65 @t75 @t77 @t6 @t9 @t13 @t31))) % 0.43/0.66 ) % 0.43/0.66 % SZS output end Proof % 0.43/0.66 % cvc5 exiting %------------------------------------------------------------------------------