%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI764-3 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:08:16 AM UTC 2026 % Result : Unsatisfiable 0.62s 0.86s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI764-3 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n015.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % 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 : Wed Jun 3 02:33:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.86 % SZS status Unsatisfiable % 0.62/0.86 % SZS output start Proof % 0.62/0.87 ( % 0.62/0.87 (declare-sort $$unsorted 0) % 0.62/0.87 (declare-const tptp.quot (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.ifMinus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.false $$unsorted) % 0.62/0.87 (declare-const tptp.le (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.87 (declare-const tptp.zero $$unsorted) % 0.62/0.87 (declare-const tptp.true $$unsorted) % 0.62/0.87 (define @t1 () (@var "Y" $$unsorted)) % 0.62/0.87 (define @t2 () (tptp.le tptp.zero @t1)) % 0.62/0.87 (define @t3 () (@list @t1)) % 0.62/0.87 (define @t4 () (forall @t3 (= @t2 tptp.true))) % 0.62/0.87 (define @t5 () (@var "X" $$unsorted)) % 0.62/0.87 (define @t6 () (tptp.s @t5)) % 0.62/0.87 (define @t7 () (tptp.le @t6 tptp.zero)) % 0.62/0.87 (define @t8 () (@list @t5)) % 0.62/0.87 (define @t9 () (forall @t8 (= @t7 tptp.false))) % 0.62/0.87 (define @t10 () (tptp.s @t1)) % 0.62/0.87 (define @t11 () (@list @t5 @t1)) % 0.62/0.87 (define @t12 () (forall @t11 (= (tptp.le @t6 @t10) (tptp.le @t5 @t1)))) % 0.62/0.87 (define @t13 () (tptp.minus tptp.zero @t1)) % 0.62/0.87 (define @t14 () (forall @t3 (= @t13 tptp.zero))) % 0.62/0.87 (define @t15 () (tptp.ifMinus tptp.true @t6 @t1)) % 0.62/0.87 (define @t16 () (forall @t11 (= @t15 tptp.zero))) % 0.62/0.87 (define @t17 () (tptp.minus @t5 @t1)) % 0.62/0.87 (define @t18 () (tptp.quot tptp.zero @t10)) % 0.62/0.87 (define @t19 () (forall @t3 (= @t18 tptp.zero))) % 0.62/0.87 (define @t20 () (tptp.s tptp.zero)) % 0.62/0.87 (define @t21 () (tptp.s @t20)) % 0.62/0.87 (define @t22 () (tptp.s @t21)) % 0.62/0.87 (define @t23 () (tptp.s @t22)) % 0.62/0.87 (define @t24 () (tptp.quot @t5 @t23)) % 0.62/0.87 (define @t25 () (not (= @t24 @t23))) % 0.62/0.87 (define @t26 () (forall @t8 @t25)) % 0.62/0.87 (define @t27 () (tptp.minus @t23 tptp.zero)) % 0.62/0.87 (define @t28 () (tptp.s @t27)) % 0.62/0.87 (define @t29 () (tptp.minus @t28 tptp.zero)) % 0.62/0.87 (define @t30 () (tptp.s @t29)) % 0.62/0.87 (define @t31 () (tptp.minus @t30 tptp.zero)) % 0.62/0.87 (define @t32 () (tptp.s @t31)) % 0.62/0.87 (define @t33 () (tptp.minus @t32 tptp.zero)) % 0.62/0.87 (define @t34 () (tptp.s @t33)) % 0.62/0.87 (define @t35 () (tptp.minus @t34 tptp.zero)) % 0.62/0.87 (define @t36 () (tptp.s @t35)) % 0.62/0.87 (define @t37 () (tptp.minus @t36 tptp.zero)) % 0.62/0.87 (define @t38 () (tptp.s @t37)) % 0.62/0.87 (define @t39 () (tptp.minus @t38 tptp.zero)) % 0.62/0.87 (define @t40 () (tptp.s @t39)) % 0.62/0.87 (define @t41 () (tptp.minus @t40 tptp.zero)) % 0.62/0.87 (define @t42 () (tptp.s @t41)) % 0.62/0.87 (define @t43 () (@list @t37 tptp.zero)) % 0.62/0.87 (define @t44 () (@list @t35 tptp.zero)) % 0.62/0.87 (define @t45 () (@list @t33 tptp.zero)) % 0.62/0.87 (define @t46 () (@list @t31 tptp.zero)) % 0.62/0.87 (define @t47 () (@list @t29 tptp.zero)) % 0.62/0.87 (define @t48 () (@list @t27 tptp.zero)) % 0.62/0.87 (define @t49 () (@list @t22 tptp.zero)) % 0.62/0.87 (define @t50 () (@list @t22)) % 0.62/0.87 (define @t51 () (@list @t21 tptp.zero)) % 0.62/0.87 (define @t52 () (@list @t20 tptp.zero)) % 0.62/0.87 (define @t53 () (@list tptp.zero tptp.zero)) % 0.62/0.87 (define @t54 () (@list tptp.zero)) % 0.62/0.87 (define @t55 () (tptp.s @t23)) % 0.62/0.87 (define @t56 () (tptp.s @t28)) % 0.62/0.87 (define @t57 () (tptp.s @t30)) % 0.62/0.87 (define @t58 () (tptp.s @t32)) % 0.62/0.87 (define @t59 () (tptp.s @t34)) % 0.62/0.87 (define @t60 () (tptp.s @t36)) % 0.62/0.87 (define @t61 () (tptp.s @t38)) % 0.62/0.87 (define @t62 () (tptp.s @t40)) % 0.62/0.87 (define @t63 () (@list @t34 @t22)) % 0.62/0.87 (define @t64 () (tptp.le @t23 @t20)) % 0.62/0.87 (define @t65 () (tptp.le @t22 tptp.zero)) % 0.62/0.87 (define @t66 () (= @t64 @t65)) % 0.62/0.87 (define @t67 () (@list false)) % 0.62/0.87 (define @t68 () (@list @t12)) % 0.62/0.87 (define @t69 () (tptp.le @t23 @t21)) % 0.62/0.87 (define @t70 () (tptp.le @t22 @t20)) % 0.62/0.87 (define @t71 () (= @t69 @t70)) % 0.62/0.87 (define @t72 () (tptp.le @t21 tptp.zero)) % 0.62/0.87 (define @t73 () (= @t70 @t72)) % 0.62/0.87 (define @t74 () (@list @t23 @t22)) % 0.62/0.87 (define @t75 () (@list @t22 @t22)) % 0.62/0.87 (define @t76 () (tptp.le @t22 @t21)) % 0.62/0.87 (define @t77 () (tptp.le @t21 @t20)) % 0.62/0.87 (define @t78 () (= @t76 @t77)) % 0.62/0.87 (define @t79 () (tptp.le @t20 tptp.zero)) % 0.62/0.87 (define @t80 () (= @t77 @t79)) % 0.62/0.87 (define @t81 () (@list @t21 @t22)) % 0.62/0.87 (define @t82 () (tptp.le @t22 @t22)) % 0.62/0.87 (define @t83 () (tptp.le @t21 @t21)) % 0.62/0.87 (define @t84 () (= @t82 @t83)) % 0.62/0.87 (define @t85 () (tptp.le @t20 @t20)) % 0.62/0.87 (define @t86 () (= @t83 @t85)) % 0.62/0.87 (define @t87 () (tptp.minus @t20 tptp.zero)) % 0.62/0.87 (define @t88 () (tptp.s @t87)) % 0.62/0.87 (define @t89 () (tptp.minus tptp.zero tptp.zero)) % 0.62/0.87 (define @t90 () (tptp.minus @t89 tptp.zero)) % 0.62/0.87 (define @t91 () (tptp.quot @t90 @t20)) % 0.62/0.87 (define @t92 () (tptp.quot @t87 @t20)) % 0.62/0.87 (define @t93 () (tptp.minus @t21 tptp.zero)) % 0.62/0.87 (define @t94 () (tptp.quot @t93 @t20)) % 0.62/0.87 (define @t95 () (tptp.s @t94)) % 0.62/0.87 (define @t96 () (tptp.s (tptp.minus @t22 tptp.zero))) % 0.62/0.87 (define @t97 () (forall @t8 (not (= @t23 @t24)))) % 0.62/0.87 (define @t98 () (tptp.s @t42)) % 0.62/0.87 (define @t99 () (= @t23 (tptp.quot @t98 @t23))) % 0.62/0.87 (assume @p1 @t4) % 0.62/0.87 (assume @p2 @t9) % 0.62/0.87 (assume @p3 @t12) % 0.62/0.87 (assume @p4 @t14) % 0.62/0.87 (assume @p5 (forall @t11 (= (tptp.minus @t6 @t1) (tptp.ifMinus (tptp.le @t6 @t1) @t6 @t1)))) % 0.62/0.87 (assume @p6 @t16) % 0.62/0.87 (assume @p7 (forall @t11 (= (tptp.ifMinus tptp.false @t6 @t1) (tptp.s @t17)))) % 0.62/0.87 (assume @p8 @t19) % 0.62/0.87 (assume @p9 (forall @t11 (= (tptp.quot @t6 @t10) (tptp.s (tptp.quot @t17 @t10))))) % 0.62/0.87 (assume @p10 @t26) % 0.62/0.87 (step @p11 :rule eq-symm :args (@t24 @t23)) % 0.62/0.87 (step @p12 :rule cong :premises (@p11) :args (@t25)) % 0.62/0.87 (step @p13 :rule cong :premises (@p12) :args (@t26)) % 0.62/0.87 (step @p14 :rule eq_resolve :premises (@p10 @p13)) % 0.62/0.87 (step @p15 :rule instantiate :premises (@p9) :args ((@list @t42 @t22))) % 0.62/0.87 (step @p16 :rule symm :premises (@p15)) % 0.62/0.87 (step @p17 :rule refl :args (@t23)) % 0.62/0.87 (step @p18 :rule instantiate :premises (@p5) :args ((@list @t41 @t22))) % 0.62/0.87 (step @p19 :rule symm :premises (@p18)) % 0.62/0.87 (step @p20 :rule refl :args (@t22)) % 0.62/0.87 (step @p21 :rule instantiate :premises (@p5) :args ((@list @t39 tptp.zero))) % 0.62/0.87 (step @p22 :rule symm :premises (@p21)) % 0.62/0.87 (step @p23 :rule refl :args (tptp.zero)) % 0.62/0.87 (step @p24 :rule instantiate :premises (@p5) :args (@t43)) % 0.62/0.87 (step @p25 :rule symm :premises (@p24)) % 0.62/0.87 (step @p26 :rule instantiate :premises (@p5) :args (@t44)) % 0.62/0.87 (step @p27 :rule symm :premises (@p26)) % 0.62/0.87 (step @p28 :rule instantiate :premises (@p5) :args (@t45)) % 0.62/0.87 (step @p29 :rule symm :premises (@p28)) % 0.62/0.87 (step @p30 :rule instantiate :premises (@p5) :args (@t46)) % 0.62/0.87 (step @p31 :rule symm :premises (@p30)) % 0.62/0.87 (step @p32 :rule instantiate :premises (@p5) :args (@t47)) % 0.62/0.87 (step @p33 :rule symm :premises (@p32)) % 0.62/0.87 (step @p34 :rule instantiate :premises (@p5) :args (@t48)) % 0.62/0.87 (step @p35 :rule symm :premises (@p34)) % 0.62/0.87 (step @p36 :rule instantiate :premises (@p5) :args (@t49)) % 0.62/0.87 (step @p37 :rule symm :premises (@p36)) % 0.62/0.87 (step @p38 :rule eq-symm :args (@t7 tptp.false)) % 0.62/0.87 (step @p39 :rule cong :premises (@p38) :args (@t9)) % 0.62/0.87 (step @p40 :rule eq_resolve :premises (@p2 @p39)) % 0.62/0.87 (step @p41 :rule instantiate :premises (@p40) :args (@t50)) % 0.62/0.87 (step @p42 :rule cong :premises (@p41 @p17 @p23) :args ((tptp.ifMinus tptp.false @t23 tptp.zero))) % 0.62/0.87 (step @p43 :rule instantiate :premises (@p7) :args (@t49)) % 0.62/0.87 (step @p44 :rule symm :premises (@p43)) % 0.62/0.87 (step @p45 :rule instantiate :premises (@p5) :args (@t51)) % 0.62/0.87 (step @p46 :rule symm :premises (@p45)) % 0.62/0.87 (step @p47 :rule instantiate :premises (@p40) :args ((@list @t21))) % 0.62/0.87 (step @p48 :rule cong :premises (@p47 @p20 @p23) :args ((tptp.ifMinus tptp.false @t22 tptp.zero))) % 0.62/0.87 (step @p49 :rule instantiate :premises (@p7) :args (@t51)) % 0.62/0.87 (step @p50 :rule symm :premises (@p49)) % 0.62/0.87 (step @p51 :rule instantiate :premises (@p5) :args (@t52)) % 0.62/0.87 (step @p52 :rule symm :premises (@p51)) % 0.62/0.87 (step @p53 :rule refl :args (@t21)) % 0.62/0.87 (step @p54 :rule instantiate :premises (@p40) :args ((@list @t20))) % 0.62/0.87 (step @p55 :rule cong :premises (@p54 @p53 @p23) :args ((tptp.ifMinus tptp.false @t21 tptp.zero))) % 0.62/0.87 (step @p56 :rule instantiate :premises (@p7) :args (@t52)) % 0.62/0.87 (step @p57 :rule symm :premises (@p56)) % 0.62/0.87 (step @p58 :rule instantiate :premises (@p5) :args (@t53)) % 0.62/0.87 (step @p59 :rule symm :premises (@p58)) % 0.62/0.87 (step @p60 :rule refl :args (@t20)) % 0.62/0.87 (step @p61 :rule instantiate :premises (@p40) :args (@t54)) % 0.62/0.87 (step @p62 :rule cong :premises (@p61 @p60 @p23) :args ((tptp.ifMinus tptp.false @t20 tptp.zero))) % 0.62/0.87 (step @p63 :rule instantiate :premises (@p7) :args (@t53)) % 0.62/0.87 (step @p64 :rule symm :premises (@p63)) % 0.62/0.87 (step @p65 :rule eq-symm :args (@t13 tptp.zero)) % 0.62/0.87 (step @p66 :rule cong :premises (@p65) :args (@t14)) % 0.62/0.87 (step @p67 :rule eq_resolve :premises (@p4 @p66)) % 0.62/0.87 (step @p68 :rule instantiate :premises (@p67) :args (@t54)) % 0.62/0.87 (step @p69 :rule cong :premises (@p68) :args (@t20)) % 0.62/0.87 (step @p70 :rule trans :premises (@p69 @p64 @p62 @p59)) % 0.62/0.87 (step @p71 :rule cong :premises (@p70) :args (@t21)) % 0.62/0.87 (step @p72 :rule trans :premises (@p71 @p57 @p55 @p52)) % 0.62/0.87 (step @p73 :rule cong :premises (@p72) :args (@t22)) % 0.62/0.87 (step @p74 :rule trans :premises (@p73 @p50 @p48 @p46)) % 0.62/0.87 (step @p75 :rule cong :premises (@p74) :args (@t23)) % 0.62/0.87 (step @p76 :rule trans :premises (@p75 @p44 @p42 @p37)) % 0.62/0.87 (step @p77 :rule cong :premises (@p76) :args (@t55)) % 0.62/0.87 (step @p78 :rule instantiate :premises (@p40) :args ((@list @t27))) % 0.62/0.87 (step @p79 :rule cong :premises (@p78 @p77 @p23) :args ((tptp.ifMinus tptp.false @t55 tptp.zero))) % 0.62/0.87 (step @p80 :rule instantiate :premises (@p7) :args ((@list @t23 tptp.zero))) % 0.62/0.87 (step @p81 :rule symm :premises (@p80)) % 0.62/0.87 (step @p82 :rule trans :premises (@p81 @p79 @p35)) % 0.62/0.87 (step @p83 :rule cong :premises (@p82) :args (@t56)) % 0.62/0.87 (step @p84 :rule instantiate :premises (@p40) :args ((@list @t29))) % 0.62/0.87 (step @p85 :rule cong :premises (@p84 @p83 @p23) :args ((tptp.ifMinus tptp.false @t56 tptp.zero))) % 0.62/0.87 (step @p86 :rule instantiate :premises (@p7) :args ((@list @t28 tptp.zero))) % 0.62/0.87 (step @p87 :rule symm :premises (@p86)) % 0.62/0.87 (step @p88 :rule trans :premises (@p87 @p85 @p33)) % 0.62/0.87 (step @p89 :rule cong :premises (@p88) :args (@t57)) % 0.62/0.87 (step @p90 :rule instantiate :premises (@p40) :args ((@list @t31))) % 0.62/0.87 (step @p91 :rule cong :premises (@p90 @p89 @p23) :args ((tptp.ifMinus tptp.false @t57 tptp.zero))) % 0.62/0.87 (step @p92 :rule instantiate :premises (@p7) :args ((@list @t30 tptp.zero))) % 0.62/0.87 (step @p93 :rule symm :premises (@p92)) % 0.62/0.87 (step @p94 :rule trans :premises (@p93 @p91 @p31)) % 0.62/0.87 (step @p95 :rule cong :premises (@p94) :args (@t58)) % 0.62/0.87 (step @p96 :rule instantiate :premises (@p40) :args ((@list @t33))) % 0.62/0.87 (step @p97 :rule cong :premises (@p96 @p95 @p23) :args ((tptp.ifMinus tptp.false @t58 tptp.zero))) % 0.62/0.87 (step @p98 :rule instantiate :premises (@p7) :args ((@list @t32 tptp.zero))) % 0.62/0.87 (step @p99 :rule symm :premises (@p98)) % 0.62/0.87 (step @p100 :rule trans :premises (@p99 @p97 @p29)) % 0.62/0.87 (step @p101 :rule cong :premises (@p100) :args (@t59)) % 0.62/0.87 (step @p102 :rule instantiate :premises (@p40) :args ((@list @t35))) % 0.62/0.87 (step @p103 :rule cong :premises (@p102 @p101 @p23) :args ((tptp.ifMinus tptp.false @t59 tptp.zero))) % 0.62/0.87 (step @p104 :rule instantiate :premises (@p7) :args ((@list @t34 tptp.zero))) % 0.62/0.87 (step @p105 :rule symm :premises (@p104)) % 0.62/0.87 (step @p106 :rule trans :premises (@p105 @p103 @p27)) % 0.62/0.87 (step @p107 :rule cong :premises (@p106) :args (@t60)) % 0.62/0.87 (step @p108 :rule instantiate :premises (@p40) :args ((@list @t37))) % 0.62/0.87 (step @p109 :rule cong :premises (@p108 @p107 @p23) :args ((tptp.ifMinus tptp.false @t60 tptp.zero))) % 0.62/0.87 (step @p110 :rule instantiate :premises (@p7) :args ((@list @t36 tptp.zero))) % 0.62/0.87 (step @p111 :rule symm :premises (@p110)) % 0.62/0.87 (step @p112 :rule trans :premises (@p111 @p109 @p25)) % 0.62/0.87 (step @p113 :rule cong :premises (@p112) :args (@t61)) % 0.62/0.87 (step @p114 :rule instantiate :premises (@p40) :args ((@list @t39))) % 0.62/0.87 (step @p115 :rule cong :premises (@p114 @p113 @p23) :args ((tptp.ifMinus tptp.false @t61 tptp.zero))) % 0.62/0.87 (step @p116 :rule instantiate :premises (@p7) :args ((@list @t38 tptp.zero))) % 0.62/0.87 (step @p117 :rule symm :premises (@p116)) % 0.62/0.87 (step @p118 :rule trans :premises (@p117 @p115 @p22)) % 0.62/0.87 (step @p119 :rule cong :premises (@p118) :args (@t62)) % 0.62/0.87 (step @p120 :rule instantiate :premises (@p3) :args ((@list @t41 @t21))) % 0.62/0.87 (step @p121 :rule symm :premises (@p120)) % 0.62/0.87 (step @p122 :rule cong :premises (@p118 @p53) :args ((tptp.le @t40 @t21))) % 0.62/0.87 (step @p123 :rule instantiate :premises (@p3) :args ((@list @t39 @t20))) % 0.62/0.87 (step @p124 :rule symm :premises (@p123)) % 0.62/0.87 (step @p125 :rule cong :premises (@p112 @p60) :args ((tptp.le @t38 @t20))) % 0.62/0.87 (step @p126 :rule instantiate :premises (@p3) :args (@t43)) % 0.62/0.87 (step @p127 :rule symm :premises (@p126)) % 0.62/0.87 (step @p128 :rule cong :premises (@p106 @p23) :args ((tptp.le @t36 tptp.zero))) % 0.62/0.87 (step @p129 :rule symm :premises (@p61)) % 0.62/0.87 (step @p130 :rule trans :premises (@p129 @p102 @p128 @p127 @p125 @p124 @p122 @p121)) % 0.62/0.87 (step @p131 :rule trans :premises (@p61 @p130)) % 0.62/0.87 (step @p132 :rule cong :premises (@p131 @p119 @p20) :args ((tptp.ifMinus tptp.false @t62 @t22))) % 0.62/0.87 (step @p133 :rule instantiate :premises (@p7) :args ((@list @t40 @t22))) % 0.62/0.87 (step @p134 :rule symm :premises (@p133)) % 0.62/0.87 (step @p135 :rule instantiate :premises (@p5) :args ((@list @t39 @t22))) % 0.62/0.87 (step @p136 :rule symm :premises (@p135)) % 0.62/0.87 (step @p137 :rule instantiate :premises (@p3) :args ((@list @t39 @t21))) % 0.62/0.87 (step @p138 :rule symm :premises (@p137)) % 0.62/0.87 (step @p139 :rule cong :premises (@p112 @p53) :args ((tptp.le @t38 @t21))) % 0.62/0.87 (step @p140 :rule instantiate :premises (@p3) :args ((@list @t37 @t20))) % 0.62/0.87 (step @p141 :rule symm :premises (@p140)) % 0.62/0.88 (step @p142 :rule cong :premises (@p106 @p60) :args ((tptp.le @t36 @t20))) % 0.62/0.88 (step @p143 :rule instantiate :premises (@p3) :args (@t44)) % 0.62/0.88 (step @p144 :rule symm :premises (@p143)) % 0.62/0.88 (step @p145 :rule cong :premises (@p100 @p23) :args ((tptp.le @t34 tptp.zero))) % 0.62/0.88 (step @p146 :rule trans :premises (@p129 @p96 @p145 @p144 @p142 @p141 @p139 @p138)) % 0.62/0.88 (step @p147 :rule trans :premises (@p61 @p146)) % 0.62/0.88 (step @p148 :rule cong :premises (@p147 @p113 @p20) :args ((tptp.ifMinus tptp.false @t61 @t22))) % 0.62/0.88 (step @p149 :rule instantiate :premises (@p7) :args ((@list @t38 @t22))) % 0.62/0.88 (step @p150 :rule symm :premises (@p149)) % 0.62/0.88 (step @p151 :rule instantiate :premises (@p5) :args ((@list @t37 @t22))) % 0.62/0.88 (step @p152 :rule symm :premises (@p151)) % 0.62/0.88 (step @p153 :rule instantiate :premises (@p3) :args ((@list @t37 @t21))) % 0.62/0.88 (step @p154 :rule symm :premises (@p153)) % 0.62/0.88 (step @p155 :rule cong :premises (@p106 @p53) :args ((tptp.le @t36 @t21))) % 0.62/0.88 (step @p156 :rule instantiate :premises (@p3) :args ((@list @t35 @t20))) % 0.62/0.88 (step @p157 :rule symm :premises (@p156)) % 0.62/0.88 (step @p158 :rule cong :premises (@p100 @p60) :args ((tptp.le @t34 @t20))) % 0.62/0.88 (step @p159 :rule instantiate :premises (@p3) :args (@t45)) % 0.62/0.88 (step @p160 :rule symm :premises (@p159)) % 0.62/0.88 (step @p161 :rule cong :premises (@p94 @p23) :args ((tptp.le @t32 tptp.zero))) % 0.62/0.88 (step @p162 :rule trans :premises (@p129 @p90 @p161 @p160 @p158 @p157 @p155 @p154)) % 0.62/0.88 (step @p163 :rule trans :premises (@p61 @p162)) % 0.62/0.88 (step @p164 :rule cong :premises (@p163 @p107 @p20) :args ((tptp.ifMinus tptp.false @t60 @t22))) % 0.62/0.88 (step @p165 :rule instantiate :premises (@p7) :args ((@list @t36 @t22))) % 0.62/0.88 (step @p166 :rule symm :premises (@p165)) % 0.62/0.88 (step @p167 :rule instantiate :premises (@p5) :args ((@list @t35 @t22))) % 0.62/0.88 (step @p168 :rule symm :premises (@p167)) % 0.62/0.88 (step @p169 :rule instantiate :premises (@p3) :args ((@list @t35 @t21))) % 0.62/0.88 (step @p170 :rule symm :premises (@p169)) % 0.62/0.88 (step @p171 :rule cong :premises (@p100 @p53) :args ((tptp.le @t34 @t21))) % 0.62/0.88 (step @p172 :rule instantiate :premises (@p3) :args ((@list @t33 @t20))) % 0.62/0.88 (step @p173 :rule symm :premises (@p172)) % 0.62/0.88 (step @p174 :rule cong :premises (@p94 @p60) :args ((tptp.le @t32 @t20))) % 0.62/0.88 (step @p175 :rule instantiate :premises (@p3) :args (@t46)) % 0.62/0.88 (step @p176 :rule symm :premises (@p175)) % 0.62/0.88 (step @p177 :rule cong :premises (@p88 @p23) :args ((tptp.le @t30 tptp.zero))) % 0.62/0.88 (step @p178 :rule trans :premises (@p129 @p84 @p177 @p176 @p174 @p173 @p171 @p170)) % 0.62/0.88 (step @p179 :rule trans :premises (@p61 @p178)) % 0.62/0.88 (step @p180 :rule cong :premises (@p179 @p101 @p20) :args ((tptp.ifMinus tptp.false @t59 @t22))) % 0.62/0.88 (step @p181 :rule instantiate :premises (@p7) :args (@t63)) % 0.62/0.88 (step @p182 :rule symm :premises (@p181)) % 0.62/0.88 (step @p183 :rule instantiate :premises (@p5) :args ((@list @t33 @t22))) % 0.62/0.88 (step @p184 :rule symm :premises (@p183)) % 0.62/0.88 (step @p185 :rule instantiate :premises (@p3) :args ((@list @t33 @t21))) % 0.62/0.88 (step @p186 :rule symm :premises (@p185)) % 0.62/0.88 (step @p187 :rule cong :premises (@p94 @p53) :args ((tptp.le @t32 @t21))) % 0.62/0.88 (step @p188 :rule instantiate :premises (@p3) :args ((@list @t31 @t20))) % 0.62/0.88 (step @p189 :rule symm :premises (@p188)) % 0.62/0.88 (step @p190 :rule cong :premises (@p88 @p60) :args ((tptp.le @t30 @t20))) % 0.62/0.88 (step @p191 :rule instantiate :premises (@p3) :args (@t47)) % 0.62/0.88 (step @p192 :rule symm :premises (@p191)) % 0.62/0.88 (step @p193 :rule trans :premises (@p77 @p82)) % 0.62/0.88 (step @p194 :rule cong :premises (@p193 @p23) :args ((tptp.le @t55 tptp.zero))) % 0.62/0.88 (step @p195 :rule instantiate :premises (@p40) :args ((@list @t23))) % 0.62/0.88 (step @p196 :rule trans :premises (@p129 @p195 @p194 @p192 @p190 @p189 @p187 @p186)) % 0.62/0.88 (step @p197 :rule trans :premises (@p61 @p196)) % 0.62/0.88 (step @p198 :rule cong :premises (@p197 @p95 @p20) :args ((tptp.ifMinus tptp.false @t58 @t22))) % 0.62/0.88 (step @p199 :rule instantiate :premises (@p7) :args ((@list @t32 @t22))) % 0.62/0.88 (step @p200 :rule symm :premises (@p199)) % 0.62/0.88 (step @p201 :rule instantiate :premises (@p5) :args ((@list @t31 @t22))) % 0.62/0.88 (step @p202 :rule symm :premises (@p201)) % 0.62/0.88 (step @p203 :rule instantiate :premises (@p3) :args ((@list @t31 @t21))) % 0.62/0.88 (step @p204 :rule symm :premises (@p203)) % 0.62/0.88 (step @p205 :rule cong :premises (@p88 @p53) :args ((tptp.le @t30 @t21))) % 0.62/0.88 (step @p206 :rule instantiate :premises (@p3) :args ((@list @t29 @t20))) % 0.62/0.88 (step @p207 :rule symm :premises (@p206)) % 0.62/0.88 (step @p208 :rule cong :premises (@p82 @p60) :args ((tptp.le @t28 @t20))) % 0.62/0.88 (step @p209 :rule instantiate :premises (@p3) :args (@t48)) % 0.62/0.88 (step @p210 :rule symm :premises (@p209)) % 0.62/0.88 (step @p211 :rule cong :premises (@p76 @p23) :args ((tptp.le @t23 tptp.zero))) % 0.62/0.88 (step @p212 :rule trans :premises (@p129 @p41 @p211 @p210 @p208 @p207 @p205 @p204)) % 0.62/0.88 (step @p213 :rule trans :premises (@p61 @p212)) % 0.62/0.88 (step @p214 :rule cong :premises (@p213 @p89 @p20) :args ((tptp.ifMinus tptp.false @t57 @t22))) % 0.62/0.88 (step @p215 :rule instantiate :premises (@p7) :args ((@list @t30 @t22))) % 0.62/0.88 (step @p216 :rule symm :premises (@p215)) % 0.62/0.88 (step @p217 :rule instantiate :premises (@p5) :args ((@list @t29 @t22))) % 0.62/0.88 (step @p218 :rule symm :premises (@p217)) % 0.62/0.88 (step @p219 :rule instantiate :premises (@p3) :args ((@list @t29 @t21))) % 0.62/0.88 (step @p220 :rule symm :premises (@p219)) % 0.62/0.88 (step @p221 :rule cong :premises (@p82 @p53) :args ((tptp.le @t28 @t21))) % 0.62/0.88 (step @p222 :rule instantiate :premises (@p3) :args ((@list @t27 @t20))) % 0.62/0.88 (step @p223 :rule symm :premises (@p222)) % 0.62/0.88 (step @p224 :rule cong :premises (@p76 @p60) :args (@t64)) % 0.62/0.88 (step @p225 :rule eq-symm :args (@t64 @t65)) % 0.62/0.88 (step @p226 :rule refl :args (@t12)) % 0.62/0.88 (step @p227 :rule cong :premises (@p226 @p225) :args ((=> @t12 @t66))) % 0.62/0.88 (assume-push @p418 @t12) % 0.62/0.88 (step @p229 :rule instantiate :premises (@p3) :args (@t49)) % 0.62/0.88 (step-pop @p419 :rule scope :premises (@p229)) % 0.62/0.88 (step @p230 :rule process_scope :premises (@p419) :args (@t66)) % 0.62/0.88 (step @p232 :rule eq_resolve :premises (@p230 @p227)) % 0.62/0.88 (step @p233 :rule implies_elim :premises (@p232)) % 0.62/0.88 (step @p234 :rule chain_m_resolution :premises (@p233 @p3) :args ((= @t65 @t64) @t67 @t68)) % 0.62/0.88 (step @p235 :rule trans :premises (@p129 @p47 @p234 @p224 @p223 @p221 @p220)) % 0.62/0.88 (step @p236 :rule trans :premises (@p61 @p235)) % 0.62/0.88 (step @p237 :rule cong :premises (@p236 @p83 @p20) :args ((tptp.ifMinus tptp.false @t56 @t22))) % 0.62/0.88 (step @p238 :rule instantiate :premises (@p7) :args ((@list @t28 @t22))) % 0.62/0.88 (step @p239 :rule symm :premises (@p238)) % 0.62/0.88 (step @p240 :rule instantiate :premises (@p5) :args ((@list @t27 @t22))) % 0.62/0.88 (step @p241 :rule symm :premises (@p240)) % 0.62/0.88 (step @p242 :rule instantiate :premises (@p3) :args ((@list @t27 @t21))) % 0.62/0.88 (step @p243 :rule symm :premises (@p242)) % 0.62/0.88 (step @p244 :rule cong :premises (@p76 @p53) :args (@t69)) % 0.62/0.88 (step @p245 :rule eq-symm :args (@t69 @t70)) % 0.62/0.88 (step @p246 :rule cong :premises (@p226 @p245) :args ((=> @t12 @t71))) % 0.62/0.88 (assume-push @p420 @t12) % 0.62/0.88 (step @p248 :rule instantiate :premises (@p3) :args ((@list @t22 @t20))) % 0.62/0.88 (step-pop @p421 :rule scope :premises (@p248)) % 0.62/0.88 (step @p249 :rule process_scope :premises (@p421) :args (@t71)) % 0.62/0.88 (step @p251 :rule eq_resolve :premises (@p249 @p246)) % 0.62/0.88 (step @p252 :rule implies_elim :premises (@p251)) % 0.62/0.88 (step @p253 :rule chain_m_resolution :premises (@p252 @p3) :args ((= @t70 @t69) @t67 @t68)) % 0.62/0.88 (step @p254 :rule eq-symm :args (@t70 @t72)) % 0.62/0.88 (step @p255 :rule cong :premises (@p226 @p254) :args ((=> @t12 @t73))) % 0.62/0.88 (assume-push @p422 @t12) % 0.62/0.88 (step @p257 :rule instantiate :premises (@p3) :args (@t51)) % 0.62/0.88 (step-pop @p423 :rule scope :premises (@p257)) % 0.62/0.88 (step @p258 :rule process_scope :premises (@p423) :args (@t73)) % 0.62/0.88 (step @p260 :rule eq_resolve :premises (@p258 @p255)) % 0.62/0.88 (step @p261 :rule implies_elim :premises (@p260)) % 0.62/0.88 (step @p262 :rule chain_m_resolution :premises (@p261 @p3) :args ((= @t72 @t70) @t67 @t68)) % 0.62/0.88 (step @p263 :rule trans :premises (@p129 @p54 @p262 @p253 @p244 @p243)) % 0.62/0.88 (step @p264 :rule trans :premises (@p61 @p263)) % 0.62/0.88 (step @p265 :rule cong :premises (@p264 @p77 @p20) :args ((tptp.ifMinus tptp.false @t55 @t22))) % 0.62/0.88 (step @p266 :rule instantiate :premises (@p7) :args (@t74)) % 0.62/0.88 (step @p267 :rule symm :premises (@p266)) % 0.62/0.88 (step @p268 :rule instantiate :premises (@p5) :args (@t75)) % 0.62/0.88 (step @p269 :rule symm :premises (@p268)) % 0.62/0.88 (step @p270 :rule instantiate :premises (@p3) :args ((@list @t22 @t21))) % 0.62/0.88 (step @p271 :rule symm :premises (@p270)) % 0.62/0.88 (step @p272 :rule eq-symm :args (@t76 @t77)) % 0.62/0.88 (step @p273 :rule cong :premises (@p226 @p272) :args ((=> @t12 @t78))) % 0.62/0.88 (assume-push @p424 @t12) % 0.62/0.88 (step @p275 :rule instantiate :premises (@p3) :args ((@list @t21 @t20))) % 0.62/0.88 (step-pop @p425 :rule scope :premises (@p275)) % 0.62/0.88 (step @p276 :rule process_scope :premises (@p425) :args (@t78)) % 0.62/0.88 (step @p278 :rule eq_resolve :premises (@p276 @p273)) % 0.62/0.88 (step @p279 :rule implies_elim :premises (@p278)) % 0.62/0.88 (step @p280 :rule chain_m_resolution :premises (@p279 @p3) :args ((= @t77 @t76) @t67 @t68)) % 0.62/0.88 (step @p281 :rule eq-symm :args (@t77 @t79)) % 0.62/0.88 (step @p282 :rule cong :premises (@p226 @p281) :args ((=> @t12 @t80))) % 0.62/0.88 (assume-push @p426 @t12) % 0.62/0.88 (step @p284 :rule instantiate :premises (@p3) :args (@t52)) % 0.62/0.88 (step-pop @p427 :rule scope :premises (@p284)) % 0.62/0.88 (step @p285 :rule process_scope :premises (@p427) :args (@t80)) % 0.62/0.88 (step @p287 :rule eq_resolve :premises (@p285 @p282)) % 0.62/0.88 (step @p288 :rule implies_elim :premises (@p287)) % 0.62/0.88 (step @p289 :rule chain_m_resolution :premises (@p288 @p3) :args ((= @t79 @t77) @t67 @t68)) % 0.62/0.88 (step @p290 :rule trans :premises (@p289 @p280 @p271)) % 0.62/0.88 (step @p291 :rule trans :premises (@p61 @p290)) % 0.62/0.88 (step @p292 :rule cong :premises (@p291 @p17 @p20) :args ((tptp.ifMinus tptp.false @t23 @t22))) % 0.62/0.88 (step @p293 :rule instantiate :premises (@p7) :args (@t75)) % 0.62/0.88 (step @p294 :rule symm :premises (@p293)) % 0.62/0.88 (step @p295 :rule instantiate :premises (@p5) :args (@t81)) % 0.62/0.88 (step @p296 :rule symm :premises (@p295)) % 0.62/0.88 (step @p297 :rule eq-symm :args (@t82 @t83)) % 0.62/0.88 (step @p298 :rule cong :premises (@p226 @p297) :args ((=> @t12 @t84))) % 0.62/0.88 (assume-push @p428 @t12) % 0.62/0.88 (step @p300 :rule instantiate :premises (@p3) :args ((@list @t21 @t21))) % 0.62/0.88 (step-pop @p429 :rule scope :premises (@p300)) % 0.62/0.88 (step @p301 :rule process_scope :premises (@p429) :args (@t84)) % 0.62/0.88 (step @p303 :rule eq_resolve :premises (@p301 @p298)) % 0.62/0.88 (step @p304 :rule implies_elim :premises (@p303)) % 0.62/0.88 (step @p305 :rule chain_m_resolution :premises (@p304 @p3) :args ((= @t83 @t82) @t67 @t68)) % 0.62/0.88 (step @p306 :rule eq-symm :args (@t83 @t85)) % 0.62/0.88 (step @p307 :rule cong :premises (@p226 @p306) :args ((=> @t12 @t86))) % 0.62/0.88 (assume-push @p430 @t12) % 0.62/0.88 (step @p309 :rule instantiate :premises (@p3) :args ((@list @t20 @t20))) % 0.62/0.88 (step-pop @p431 :rule scope :premises (@p309)) % 0.62/0.88 (step @p310 :rule process_scope :premises (@p431) :args (@t86)) % 0.62/0.88 (step @p312 :rule eq_resolve :premises (@p310 @p307)) % 0.62/0.88 (step @p313 :rule implies_elim :premises (@p312)) % 0.62/0.88 (step @p314 :rule chain_m_resolution :premises (@p313 @p3) :args ((= @t85 @t83) @t67 @t68)) % 0.62/0.88 (step @p315 :rule trans :premises (@p314 @p305)) % 0.62/0.88 (step @p316 :rule instantiate :premises (@p3) :args (@t53)) % 0.62/0.88 (step @p317 :rule symm :premises (@p316)) % 0.62/0.88 (step @p318 :rule eq-symm :args (@t2 tptp.true)) % 0.62/0.88 (step @p319 :rule cong :premises (@p318) :args (@t4)) % 0.62/0.88 (step @p320 :rule eq_resolve :premises (@p1 @p319)) % 0.62/0.88 (step @p321 :rule instantiate :premises (@p320) :args (@t54)) % 0.62/0.88 (step @p322 :rule trans :premises (@p321 @p317)) % 0.62/0.88 (step @p323 :rule trans :premises (@p322 @p315)) % 0.62/0.88 (step @p324 :rule cong :premises (@p323 @p20 @p20) :args ((tptp.ifMinus tptp.true @t22 @t22))) % 0.62/0.88 (step @p325 :rule eq-symm :args (@t15 tptp.zero)) % 0.62/0.88 (step @p326 :rule cong :premises (@p325) :args (@t16)) % 0.62/0.88 (step @p327 :rule eq_resolve :premises (@p6 @p326)) % 0.62/0.88 (step @p328 :rule instantiate :premises (@p327) :args (@t81)) % 0.62/0.88 (step @p329 :rule trans :premises (@p328 @p324 @p296)) % 0.62/0.88 (step @p330 :rule cong :premises (@p329) :args (@t20)) % 0.62/0.88 (step @p331 :rule symm :premises (@p69)) % 0.62/0.88 (step @p332 :rule symm :premises (@p62)) % 0.62/0.88 (step @p333 :rule trans :premises (@p58 @p332 @p63 @p331 @p330 @p294 @p292 @p269)) % 0.62/0.88 (step @p334 :rule cong :premises (@p333) :args (@t88)) % 0.62/0.88 (step @p335 :rule eq-symm :args (@t18 tptp.zero)) % 0.62/0.88 (step @p336 :rule cong :premises (@p335) :args (@t19)) % 0.62/0.88 (step @p337 :rule eq_resolve :premises (@p8 @p336)) % 0.62/0.88 (step @p338 :rule instantiate :premises (@p337) :args (@t54)) % 0.62/0.88 (step @p339 :rule symm :premises (@p338)) % 0.62/0.88 (step @p340 :rule symm :premises (@p68)) % 0.62/0.88 (step @p341 :rule cong :premises (@p340 @p60) :args ((tptp.quot @t89 @t20))) % 0.62/0.88 (step @p342 :rule cong :premises (@p68 @p331) :args ((tptp.quot tptp.zero (tptp.s @t89)))) % 0.62/0.88 (step @p343 :rule cong :premises (@p340 @p23) :args (@t90)) % 0.62/0.88 (step @p344 :rule trans :premises (@p343 @p340)) % 0.62/0.88 (step @p345 :rule cong :premises (@p344 @p69) :args (@t91)) % 0.62/0.88 (step @p346 :rule trans :premises (@p345 @p342 @p341 @p339)) % 0.62/0.88 (step @p347 :rule cong :premises (@p346) :args ((tptp.s @t91))) % 0.62/0.88 (step @p348 :rule instantiate :premises (@p9) :args ((@list @t89 tptp.zero))) % 0.62/0.88 (step @p349 :rule trans :premises (@p58 @p332 @p63)) % 0.62/0.88 (step @p350 :rule cong :premises (@p349 @p60) :args (@t92)) % 0.62/0.88 (step @p351 :rule trans :premises (@p350 @p348 @p347 @p69 @p64 @p62 @p59)) % 0.62/0.88 (step @p352 :rule cong :premises (@p351) :args ((tptp.s @t92))) % 0.62/0.88 (step @p353 :rule instantiate :premises (@p9) :args (@t52)) % 0.62/0.88 (step @p354 :rule symm :premises (@p71)) % 0.62/0.88 (step @p355 :rule cong :premises (@p354 @p60) :args ((tptp.quot @t88 @t20))) % 0.62/0.88 (step @p356 :rule trans :premises (@p57 @p55 @p52)) % 0.62/0.88 (step @p357 :rule symm :premises (@p356)) % 0.62/0.88 (step @p358 :rule cong :premises (@p357 @p60) :args (@t94)) % 0.62/0.88 (step @p359 :rule trans :premises (@p358 @p355 @p353 @p352 @p334 @p267 @p265 @p241)) % 0.62/0.88 (step @p360 :rule cong :premises (@p359) :args (@t95)) % 0.62/0.88 (step @p361 :rule symm :premises (@p358)) % 0.62/0.88 (step @p362 :rule symm :premises (@p355)) % 0.62/0.88 (step @p363 :rule symm :premises (@p353)) % 0.62/0.88 (step @p364 :rule symm :premises (@p352)) % 0.62/0.88 (step @p365 :rule symm :premises (@p55)) % 0.62/0.88 (step @p366 :rule trans :premises (@p51 @p365 @p56 @p364 @p363 @p362 @p361)) % 0.62/0.88 (step @p367 :rule cong :premises (@p366) :args ((tptp.s @t93))) % 0.62/0.88 (step @p368 :rule symm :premises (@p48)) % 0.62/0.88 (step @p369 :rule trans :premises (@p45 @p368 @p49 @p367 @p360 @p239 @p237 @p218)) % 0.62/0.88 (step @p370 :rule cong :premises (@p369) :args (@t96)) % 0.62/0.88 (step @p371 :rule symm :premises (@p42)) % 0.62/0.88 (step @p372 :rule trans :premises (@p36 @p371 @p43 @p370 @p216 @p214 @p202)) % 0.62/0.88 (step @p373 :rule cong :premises (@p372) :args (@t28)) % 0.62/0.88 (step @p374 :rule symm :premises (@p79)) % 0.62/0.88 (step @p375 :rule trans :premises (@p34 @p374 @p80 @p373 @p200 @p198 @p184)) % 0.62/0.88 (step @p376 :rule cong :premises (@p375) :args (@t30)) % 0.62/0.88 (step @p377 :rule symm :premises (@p85)) % 0.62/0.88 (step @p378 :rule trans :premises (@p32 @p377 @p86 @p376 @p182 @p180 @p168)) % 0.62/0.88 (step @p379 :rule cong :premises (@p378) :args (@t32)) % 0.62/0.88 (step @p380 :rule symm :premises (@p91)) % 0.62/0.88 (step @p381 :rule trans :premises (@p30 @p380 @p92 @p379 @p166 @p164 @p152)) % 0.62/0.88 (step @p382 :rule cong :premises (@p381) :args (@t34)) % 0.62/0.88 (step @p383 :rule symm :premises (@p97)) % 0.62/0.88 (step @p384 :rule trans :premises (@p28 @p383 @p98 @p382 @p150 @p148 @p136)) % 0.62/0.88 (step @p385 :rule cong :premises (@p384) :args (@t36)) % 0.62/0.88 (step @p386 :rule trans :premises (@p101 @p385 @p134 @p132 @p19)) % 0.62/0.88 (step @p387 :rule cong :premises (@p386 @p17) :args ((tptp.quot @t59 @t23))) % 0.62/0.88 (step @p388 :rule instantiate :premises (@p9) :args (@t63)) % 0.62/0.88 (step @p389 :rule symm :premises (@p388)) % 0.62/0.88 (step @p390 :rule trans :premises (@p77 @p373 @p200 @p198 @p184)) % 0.62/0.88 (step @p391 :rule cong :premises (@p390 @p17) :args ((tptp.quot @t55 @t23))) % 0.62/0.88 (step @p392 :rule instantiate :premises (@p9) :args (@t74)) % 0.62/0.88 (step @p393 :rule symm :premises (@p392)) % 0.62/0.88 (step @p394 :rule trans :premises (@p70 @p333)) % 0.62/0.88 (step @p395 :rule cong :premises (@p394 @p17) :args ((tptp.quot @t20 @t23))) % 0.62/0.88 (step @p396 :rule instantiate :premises (@p9) :args ((@list tptp.zero @t22))) % 0.62/0.88 (step @p397 :rule symm :premises (@p396)) % 0.62/0.88 (step @p398 :rule symm :premises (@p75)) % 0.62/0.88 (step @p399 :rule instantiate :premises (@p67) :args (@t50)) % 0.62/0.88 (step @p400 :rule cong :premises (@p399 @p398) :args ((tptp.quot tptp.zero @t96))) % 0.62/0.88 (step @p401 :rule cong :premises (@p23 @p75) :args ((tptp.quot tptp.zero @t23))) % 0.62/0.88 (step @p402 :rule instantiate :premises (@p337) :args (@t50)) % 0.62/0.88 (step @p403 :rule trans :premises (@p402 @p401 @p400)) % 0.62/0.88 (step @p404 :rule cong :premises (@p403) :args (@t20)) % 0.62/0.88 (step @p405 :rule trans :premises (@p58 @p332 @p63 @p331 @p404 @p397 @p395)) % 0.62/0.88 (step @p406 :rule cong :premises (@p405) :args (@t88)) % 0.62/0.88 (step @p407 :rule trans :premises (@p358 @p355 @p353 @p352 @p406 @p393 @p391)) % 0.62/0.88 (step @p408 :rule cong :premises (@p407) :args (@t95)) % 0.62/0.88 (step @p409 :rule trans :premises (@p45 @p368 @p49 @p367 @p408 @p389 @p387)) % 0.62/0.88 (step @p410 :rule cong :premises (@p409) :args (@t96)) % 0.62/0.88 (step @p411 :rule trans :premises (@p75 @p410 @p16)) % 0.62/0.88 (assume-push @p432 @t97) % 0.62/0.88 (step @p413 :rule instantiate :premises (@p14) :args ((@list @t98))) % 0.62/0.88 (step-pop @p433 :rule scope :premises (@p413)) % 0.62/0.88 (step @p414 :rule process_scope :premises (@p433) :args ((not @t99))) % 0.62/0.88 (step @p416 :rule implies_elim :premises (@p414)) % 0.62/0.88 (step @p417 false :rule chain_m_resolution :premises (@p416 @p411 @p14) :args (false (@list false false) (@list @t99 @t97))) % 0.62/0.88 ) % 0.62/0.88 % SZS output end Proof % 0.62/0.88 % cvc5 exiting %------------------------------------------------------------------------------