%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM016^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:38:21 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM016^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 10:18:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.37/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.divides (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.prime_divisor (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.prime (-> $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.factorial_plus_one (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.a $$unsorted) % 0.37/0.58 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t2 () (_ tptp.factorial_plus_one tptp.a)) % 0.37/0.58 (define @t3 () (_ (_ tptp.less @t2) @t1)) % 0.37/0.58 (define @t4 () (_ (_ tptp.less tptp.a) @t1)) % 0.37/0.58 (define @t5 () (not @t4)) % 0.37/0.58 (define @t6 () (_ tptp.prime @t1)) % 0.37/0.58 (define @t7 () (not @t6)) % 0.37/0.58 (define @t8 () (or @t7 @t5 @t3)) % 0.37/0.58 (define @t9 () (@list @t1)) % 0.37/0.58 (define @t10 () (forall @t9 @t8)) % 0.37/0.58 (define @t11 () (_ tptp.prime tptp.a)) % 0.37/0.58 (define @t12 () (_ tptp.prime_divisor @t1)) % 0.37/0.58 (define @t13 () (_ (_ tptp.less @t12) @t1)) % 0.37/0.58 (define @t14 () (or @t6 @t13)) % 0.37/0.58 (define @t15 () (forall @t9 @t14)) % 0.37/0.58 (define @t16 () (_ tptp.prime @t12)) % 0.37/0.58 (define @t17 () (or @t6 @t16)) % 0.37/0.58 (define @t18 () (forall @t9 @t17)) % 0.37/0.58 (define @t19 () (_ (_ tptp.divides @t12) @t1)) % 0.37/0.58 (define @t20 () (or @t6 @t19)) % 0.37/0.58 (define @t21 () (forall @t9 @t20)) % 0.37/0.58 (define @t22 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t23 () (_ (_ tptp.less @t22) @t1)) % 0.37/0.58 (define @t24 () (_ tptp.factorial_plus_one @t22)) % 0.37/0.58 (define @t25 () (_ tptp.divides @t1)) % 0.37/0.58 (define @t26 () (_ @t25 @t24)) % 0.37/0.58 (define @t27 () (not @t26)) % 0.37/0.58 (define @t28 () (or @t27 @t23)) % 0.37/0.58 (define @t29 () (@list @t1 @t22)) % 0.37/0.58 (define @t30 () (forall @t29 @t28)) % 0.37/0.58 (define @t31 () (_ tptp.factorial_plus_one @t1)) % 0.37/0.58 (define @t32 () (_ tptp.less @t1)) % 0.37/0.58 (define @t33 () (_ @t32 @t31)) % 0.37/0.58 (define @t34 () (forall @t9 @t33)) % 0.37/0.58 (define @t35 () (not @t23)) % 0.37/0.58 (define @t36 () (_ @t25 @t22)) % 0.37/0.58 (define @t37 () (not @t36)) % 0.37/0.58 (define @t38 () (or @t37 @t35)) % 0.37/0.58 (define @t39 () (forall @t29 @t38)) % 0.37/0.58 (define @t40 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t41 () (_ @t25 @t40)) % 0.37/0.58 (define @t42 () (_ (_ tptp.divides @t22) @t40)) % 0.37/0.58 (define @t43 () (not @t42)) % 0.37/0.58 (define @t44 () (or @t37 @t43 @t41)) % 0.37/0.58 (define @t45 () (@list @t1 @t22 @t40)) % 0.37/0.58 (define @t46 () (forall @t45 @t44)) % 0.37/0.58 (define @t47 () (_ @t25 @t1)) % 0.37/0.58 (define @t48 () (forall @t9 @t47)) % 0.37/0.58 (define @t49 () (_ @t32 @t22)) % 0.37/0.58 (define @t50 () (not @t49)) % 0.37/0.58 (define @t51 () (or @t50 @t35)) % 0.37/0.58 (define @t52 () (forall @t29 @t51)) % 0.37/0.58 (define @t53 () (_ @t32 @t1)) % 0.37/0.58 (define @t54 () (not @t53)) % 0.37/0.58 (define @t55 () (forall @t9 @t54)) % 0.37/0.58 (define @t56 () (and @t55 @t52 @t48 @t46 @t39 @t34 @t30 @t21 @t18 @t15 @t11 @t10)) % 0.37/0.58 (define @t57 () (tptp.factorial_plus_one tptp.a)) % 0.37/0.58 (define @t58 () (tptp.less @t57 @t1)) % 0.37/0.58 (define @t59 () (tptp.less tptp.a @t1)) % 0.37/0.58 (define @t60 () (tptp.prime @t1)) % 0.37/0.58 (define @t61 () (forall @t9 (or (not @t60) (not @t59) @t58))) % 0.37/0.58 (define @t62 () (tptp.prime tptp.a)) % 0.37/0.58 (define @t63 () (tptp.prime_divisor @t1)) % 0.37/0.58 (define @t64 () (tptp.less @t63 @t1)) % 0.37/0.58 (define @t65 () (forall @t9 (or @t60 @t64))) % 0.37/0.58 (define @t66 () (tptp.prime @t63)) % 0.37/0.58 (define @t67 () (forall @t9 (or @t60 @t66))) % 0.37/0.58 (define @t68 () (tptp.divides @t63 @t1)) % 0.37/0.58 (define @t69 () (forall @t9 (or @t60 @t68))) % 0.37/0.58 (define @t70 () (tptp.less @t22 @t1)) % 0.37/0.58 (define @t71 () (tptp.factorial_plus_one @t22)) % 0.37/0.58 (define @t72 () (tptp.divides @t1 @t71)) % 0.37/0.58 (define @t73 () (forall @t29 (or (not @t72) @t70))) % 0.37/0.58 (define @t74 () (tptp.factorial_plus_one @t1)) % 0.37/0.58 (define @t75 () (tptp.less @t1 @t74)) % 0.37/0.58 (define @t76 () (forall @t9 @t75)) % 0.37/0.58 (define @t77 () (not @t70)) % 0.37/0.58 (define @t78 () (tptp.divides @t1 @t22)) % 0.37/0.58 (define @t79 () (not @t78)) % 0.37/0.58 (define @t80 () (forall @t29 (or @t79 @t77))) % 0.37/0.58 (define @t81 () (tptp.divides @t1 @t40)) % 0.37/0.58 (define @t82 () (tptp.divides @t22 @t40)) % 0.37/0.58 (define @t83 () (forall @t45 (or @t79 (not @t82) @t81))) % 0.37/0.58 (define @t84 () (tptp.divides @t1 @t1)) % 0.37/0.58 (define @t85 () (forall @t9 @t84)) % 0.37/0.58 (define @t86 () (tptp.less @t1 @t22)) % 0.37/0.58 (define @t87 () (forall @t29 (or (not @t86) @t77))) % 0.37/0.58 (define @t88 () (tptp.less @t1 @t1)) % 0.37/0.58 (define @t89 () (forall @t9 (not @t88))) % 0.37/0.58 (define @t90 () (@list @t57)) % 0.37/0.58 (define @t91 () (tptp.prime_divisor @t57)) % 0.37/0.58 (define @t92 () (tptp.divides @t91 @t57)) % 0.37/0.58 (define @t93 () (tptp.prime @t57)) % 0.37/0.58 (define @t94 () (or @t93 @t92)) % 0.37/0.58 (define @t95 () (tptp.prime @t91)) % 0.37/0.58 (define @t96 () (or @t93 @t95)) % 0.37/0.58 (define @t97 () (tptp.less @t57 @t91)) % 0.37/0.58 (define @t98 () (not @t97)) % 0.37/0.58 (define @t99 () (not @t92)) % 0.37/0.58 (define @t100 () (or @t99 @t98)) % 0.37/0.58 (define @t101 () (tptp.less tptp.a @t91)) % 0.37/0.58 (define @t102 () (or @t99 @t101)) % 0.37/0.58 (define @t103 () (not @t101)) % 0.37/0.58 (define @t104 () (not @t95)) % 0.37/0.58 (define @t105 () (or @t104 @t103 @t97)) % 0.37/0.58 (define @t106 () (tptp.less @t57 @t57)) % 0.37/0.58 (define @t107 () (tptp.less tptp.a @t57)) % 0.37/0.58 (define @t108 () (not @t107)) % 0.37/0.58 (define @t109 () (not @t93)) % 0.37/0.58 (define @t110 () (or @t109 @t108 @t106)) % 0.37/0.58 (assume @p1 (not (not @t56))) % 0.37/0.58 (assume @p2 true) % 0.37/0.58 (step @p3 :rule refl :args (@t61)) % 0.37/0.58 (step @p4 :rule refl :args (@t62)) % 0.37/0.58 (step @p5 :rule refl :args (@t11)) % 0.37/0.58 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t11 @t62))) % 0.37/0.58 (step @p7 :rule symm :premises (@p6)) % 0.37/0.58 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.37/0.58 (step @p9 :rule refl :args (@t65)) % 0.37/0.58 (step @p10 :rule refl :args (@t67)) % 0.37/0.58 (step @p11 :rule refl :args (@t69)) % 0.37/0.58 (step @p12 :rule refl :args (@t73)) % 0.37/0.58 (step @p13 :rule refl :args (@t76)) % 0.37/0.58 (step @p14 :rule refl :args (@t80)) % 0.37/0.58 (step @p15 :rule refl :args (@t83)) % 0.37/0.58 (step @p16 :rule refl :args (@t85)) % 0.37/0.58 (step @p17 :rule refl :args (@t87)) % 0.37/0.58 (step @p18 :rule refl :args (@t89)) % 0.37/0.58 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8 @p3) :args ((and @t89 @t87 @t85 @t83 @t80 @t76 @t73 @t69 @t67 @t65 @t11 @t61))) % 0.37/0.58 (step @p20 :rule refl :args ((tptp.less @t2 @t1))) % 0.37/0.58 (step @p21 :rule refl :args (@t1)) % 0.37/0.58 (step @p22 :rule refl :args (@t57)) % 0.37/0.58 (step @p23 :rule cong :premises (@p22 @p21) :args (@t58)) % 0.37/0.58 (step @p24 :rule trans :premises (@p23 @p20)) % 0.37/0.58 (step @p25 :rule refl :args (tptp.less)) % 0.37/0.58 (step @p26 :rule ho_cong :premises (@p25 @p22)) % 0.37/0.58 (step @p27 :rule ho_cong :premises (@p26 @p21)) % 0.37/0.58 (step @p28 :rule cong :premises (@p27 @p24) :args ((= (_ (_ tptp.less @t57) @t1) @t58))) % 0.37/0.58 (step @p29 :rule symm :premises (@p28)) % 0.37/0.58 (step @p30 :rule refl :args (@t3)) % 0.37/0.58 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.37/0.58 (step @p32 :rule refl :args (@t2)) % 0.37/0.58 (step @p33 :rule cong :premises (@p32 @p22) :args ((= @t2 @t57))) % 0.37/0.58 (step @p34 :rule symm :premises (@p33)) % 0.37/0.58 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.37/0.58 (step @p36 :rule ho_cong :premises (@p25 @p35)) % 0.37/0.58 (step @p37 :rule ho_cong :premises (@p36 @p21)) % 0.37/0.58 (step @p38 :rule trans :premises (@p37 @p31)) % 0.37/0.58 (step @p39 :rule refl :args (@t59)) % 0.37/0.58 (step @p40 :rule refl :args (@t4)) % 0.37/0.58 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t4 @t59))) % 0.37/0.58 (step @p42 :rule symm :premises (@p41)) % 0.37/0.58 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.37/0.58 (step @p44 :rule cong :premises (@p43) :args (@t5)) % 0.37/0.58 (step @p45 :rule refl :args (@t60)) % 0.37/0.58 (step @p46 :rule refl :args (@t6)) % 0.37/0.58 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t6 @t60))) % 0.37/0.58 (step @p48 :rule symm :premises (@p47)) % 0.37/0.58 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.37/0.58 (step @p50 :rule cong :premises (@p49) :args (@t7)) % 0.37/0.58 (step @p51 :rule nary_cong :premises (@p50 @p44 @p38) :args (@t8)) % 0.37/0.58 (step @p52 :rule cong :premises (@p51) :args (@t10)) % 0.37/0.58 (step @p53 :rule refl :args (@t11)) % 0.37/0.58 (step @p54 :rule refl :args ((tptp.less @t12 @t1))) % 0.37/0.58 (step @p55 :rule refl :args (@t63)) % 0.37/0.58 (step @p56 :rule cong :premises (@p55 @p21) :args (@t64)) % 0.37/0.58 (step @p57 :rule trans :premises (@p56 @p54)) % 0.37/0.58 (step @p58 :rule ho_cong :premises (@p25 @p55)) % 0.37/0.58 (step @p59 :rule ho_cong :premises (@p58 @p21)) % 0.37/0.58 (step @p60 :rule cong :premises (@p59 @p57) :args ((= (_ (_ tptp.less @t63) @t1) @t64))) % 0.37/0.58 (step @p61 :rule symm :premises (@p60)) % 0.37/0.58 (step @p62 :rule refl :args (@t13)) % 0.37/0.58 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.37/0.58 (step @p64 :rule refl :args (@t12)) % 0.37/0.58 (step @p65 :rule cong :premises (@p64 @p55) :args ((= @t12 @t63))) % 0.37/0.58 (step @p66 :rule symm :premises (@p65)) % 0.37/0.58 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.37/0.58 (step @p68 :rule ho_cong :premises (@p25 @p67)) % 0.37/0.58 (step @p69 :rule ho_cong :premises (@p68 @p21)) % 0.37/0.58 (step @p70 :rule trans :premises (@p69 @p63)) % 0.37/0.58 (step @p71 :rule nary_cong :premises (@p49 @p70) :args (@t14)) % 0.37/0.58 (step @p72 :rule cong :premises (@p71) :args (@t15)) % 0.37/0.58 (step @p73 :rule refl :args ((tptp.prime @t12))) % 0.37/0.58 (step @p74 :rule cong :premises (@p55) :args (@t66)) % 0.37/0.58 (step @p75 :rule trans :premises (@p74 @p73)) % 0.37/0.58 (step @p76 :rule refl :args (tptp.prime)) % 0.37/0.58 (step @p77 :rule ho_cong :premises (@p76 @p55)) % 0.37/0.58 (step @p78 :rule cong :premises (@p77 @p75) :args ((= (_ tptp.prime @t63) @t66))) % 0.37/0.58 (step @p79 :rule symm :premises (@p78)) % 0.37/0.58 (step @p80 :rule refl :args (@t16)) % 0.37/0.58 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.37/0.58 (step @p82 :rule ho_cong :premises (@p76 @p67)) % 0.37/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.37/0.58 (step @p84 :rule nary_cong :premises (@p49 @p83) :args (@t17)) % 0.37/0.58 (step @p85 :rule cong :premises (@p84) :args (@t18)) % 0.37/0.58 (step @p86 :rule refl :args ((tptp.divides @t12 @t1))) % 0.37/0.58 (step @p87 :rule cong :premises (@p55 @p21) :args (@t68)) % 0.37/0.58 (step @p88 :rule trans :premises (@p87 @p86)) % 0.37/0.58 (step @p89 :rule refl :args (tptp.divides)) % 0.37/0.58 (step @p90 :rule ho_cong :premises (@p89 @p55)) % 0.37/0.58 (step @p91 :rule ho_cong :premises (@p90 @p21)) % 0.37/0.58 (step @p92 :rule cong :premises (@p91 @p88) :args ((= (_ (_ tptp.divides @t63) @t1) @t68))) % 0.37/0.58 (step @p93 :rule symm :premises (@p92)) % 0.37/0.58 (step @p94 :rule refl :args (@t19)) % 0.37/0.58 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.37/0.58 (step @p96 :rule ho_cong :premises (@p89 @p67)) % 0.37/0.58 (step @p97 :rule ho_cong :premises (@p96 @p21)) % 0.37/0.58 (step @p98 :rule trans :premises (@p97 @p95)) % 0.37/0.58 (step @p99 :rule nary_cong :premises (@p49 @p98) :args (@t20)) % 0.37/0.58 (step @p100 :rule cong :premises (@p99) :args (@t21)) % 0.37/0.58 (step @p101 :rule refl :args (@t70)) % 0.37/0.58 (step @p102 :rule refl :args (@t23)) % 0.37/0.58 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t23 @t70))) % 0.37/0.58 (step @p104 :rule symm :premises (@p103)) % 0.37/0.58 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.37/0.58 (step @p106 :rule refl :args ((tptp.divides @t1 @t24))) % 0.37/0.58 (step @p107 :rule refl :args (@t71)) % 0.37/0.58 (step @p108 :rule cong :premises (@p21 @p107) :args (@t72)) % 0.37/0.58 (step @p109 :rule trans :premises (@p108 @p106)) % 0.37/0.58 (step @p110 :rule refl :args (@t25)) % 0.37/0.58 (step @p111 :rule ho_cong :premises (@p110 @p107)) % 0.37/0.58 (step @p112 :rule cong :premises (@p111 @p109) :args ((= (_ @t25 @t71) @t72))) % 0.37/0.58 (step @p113 :rule symm :premises (@p112)) % 0.37/0.58 (step @p114 :rule refl :args (@t26)) % 0.37/0.58 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.37/0.58 (step @p116 :rule refl :args (@t24)) % 0.37/0.58 (step @p117 :rule cong :premises (@p116 @p107) :args ((= @t24 @t71))) % 0.37/0.58 (step @p118 :rule symm :premises (@p117)) % 0.37/0.58 (step @p119 :rule eq_resolve :premises (@p116 @p118)) % 0.37/0.58 (step @p120 :rule ho_cong :premises (@p110 @p119)) % 0.37/0.58 (step @p121 :rule trans :premises (@p120 @p115)) % 0.37/0.58 (step @p122 :rule cong :premises (@p121) :args (@t27)) % 0.37/0.58 (step @p123 :rule nary_cong :premises (@p122 @p105) :args (@t28)) % 0.37/0.58 (step @p124 :rule cong :premises (@p123) :args (@t30)) % 0.37/0.58 (step @p125 :rule refl :args ((tptp.less @t1 @t31))) % 0.37/0.58 (step @p126 :rule refl :args (@t74)) % 0.37/0.58 (step @p127 :rule cong :premises (@p21 @p126) :args (@t75)) % 0.37/0.58 (step @p128 :rule trans :premises (@p127 @p125)) % 0.37/0.58 (step @p129 :rule refl :args (@t32)) % 0.37/0.58 (step @p130 :rule ho_cong :premises (@p129 @p126)) % 0.37/0.58 (step @p131 :rule cong :premises (@p130 @p128) :args ((= (_ @t32 @t74) @t75))) % 0.37/0.58 (step @p132 :rule symm :premises (@p131)) % 0.37/0.58 (step @p133 :rule refl :args (@t33)) % 0.37/0.58 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.37/0.58 (step @p135 :rule refl :args (@t31)) % 0.37/0.58 (step @p136 :rule cong :premises (@p135 @p126) :args ((= @t31 @t74))) % 0.37/0.58 (step @p137 :rule symm :premises (@p136)) % 0.37/0.58 (step @p138 :rule eq_resolve :premises (@p135 @p137)) % 0.37/0.58 (step @p139 :rule ho_cong :premises (@p129 @p138)) % 0.37/0.58 (step @p140 :rule trans :premises (@p139 @p134)) % 0.37/0.58 (step @p141 :rule cong :premises (@p140) :args (@t34)) % 0.37/0.58 (step @p142 :rule cong :premises (@p105) :args (@t35)) % 0.37/0.58 (step @p143 :rule refl :args (@t78)) % 0.37/0.58 (step @p144 :rule refl :args (@t36)) % 0.37/0.58 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t36 @t78))) % 0.37/0.58 (step @p146 :rule symm :premises (@p145)) % 0.37/0.58 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 0.37/0.58 (step @p148 :rule cong :premises (@p147) :args (@t37)) % 0.37/0.58 (step @p149 :rule nary_cong :premises (@p148 @p142) :args (@t38)) % 0.37/0.58 (step @p150 :rule cong :premises (@p149) :args (@t39)) % 0.37/0.58 (step @p151 :rule refl :args (@t81)) % 0.37/0.58 (step @p152 :rule refl :args (@t41)) % 0.37/0.58 (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t41 @t81))) % 0.37/0.58 (step @p154 :rule symm :premises (@p153)) % 0.37/0.58 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 0.37/0.58 (step @p156 :rule refl :args (@t82)) % 0.37/0.58 (step @p157 :rule refl :args (@t42)) % 0.37/0.58 (step @p158 :rule cong :premises (@p157 @p156) :args ((= @t42 @t82))) % 0.37/0.58 (step @p159 :rule symm :premises (@p158)) % 0.37/0.58 (step @p160 :rule eq_resolve :premises (@p157 @p159)) % 0.37/0.58 (step @p161 :rule cong :premises (@p160) :args (@t43)) % 0.37/0.58 (step @p162 :rule nary_cong :premises (@p148 @p161 @p155) :args (@t44)) % 0.37/0.58 (step @p163 :rule cong :premises (@p162) :args (@t46)) % 0.37/0.58 (step @p164 :rule refl :args (@t84)) % 0.37/0.58 (step @p165 :rule refl :args (@t47)) % 0.37/0.58 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t47 @t84))) % 0.37/0.58 (step @p167 :rule symm :premises (@p166)) % 0.37/0.58 (step @p168 :rule eq_resolve :premises (@p165 @p167)) % 0.37/0.58 (step @p169 :rule cong :premises (@p168) :args (@t48)) % 0.37/0.58 (step @p170 :rule refl :args (@t86)) % 0.37/0.58 (step @p171 :rule refl :args (@t49)) % 0.37/0.58 (step @p172 :rule cong :premises (@p171 @p170) :args ((= @t49 @t86))) % 0.37/0.58 (step @p173 :rule symm :premises (@p172)) % 0.37/0.58 (step @p174 :rule eq_resolve :premises (@p171 @p173)) % 0.37/0.58 (step @p175 :rule cong :premises (@p174) :args (@t50)) % 0.37/0.58 (step @p176 :rule nary_cong :premises (@p175 @p142) :args (@t51)) % 0.37/0.58 (step @p177 :rule cong :premises (@p176) :args (@t52)) % 0.37/0.58 (step @p178 :rule refl :args (@t88)) % 0.37/0.58 (step @p179 :rule refl :args (@t53)) % 0.37/0.58 (step @p180 :rule cong :premises (@p179 @p178) :args ((= @t53 @t88))) % 0.37/0.58 (step @p181 :rule symm :premises (@p180)) % 0.37/0.58 (step @p182 :rule eq_resolve :premises (@p179 @p181)) % 0.37/0.58 (step @p183 :rule cong :premises (@p182) :args (@t54)) % 0.37/0.58 (step @p184 :rule cong :premises (@p183) :args (@t55)) % 0.37/0.58 (step @p185 :rule nary_cong :premises (@p184 @p177 @p169 @p163 @p150 @p141 @p124 @p100 @p85 @p72 @p53 @p52) :args (@t56)) % 0.37/0.58 (step @p186 :rule bool-double-not-elim :args (@t56)) % 0.37/0.58 (step @p187 :rule trans :premises (@p186 @p185)) % 0.37/0.58 (step @p188 :rule trans :premises (@p187 @p19)) % 0.37/0.58 (step @p189 :rule eq_resolve :premises (@p1 @p188)) % 0.37/0.58 (step @p190 :rule and_elim :premises (@p189) :args (0)) % 0.37/0.58 (step @p191 :rule and_elim :premises (@p189) :args (11)) % 0.37/0.58 (step @p192 :rule instantiate :premises (@p191) :args (@t90)) % 0.37/0.58 (step @p193 :rule and_elim :premises (@p189) :args (7)) % 0.37/0.58 (step @p194 :rule instantiate :premises (@p193) :args (@t90)) % 0.37/0.58 (step @p195 :rule cnf_or_pos :args (@t94)) % 0.37/0.58 (step @p196 :rule reordering :premises (@p195) :args ((or @t93 @t92 (not @t94)))) % 0.37/0.58 (step @p197 :rule and_elim :premises (@p189) :args (8)) % 0.37/0.58 (step @p198 :rule instantiate :premises (@p197) :args (@t90)) % 0.37/0.58 (step @p199 :rule cnf_or_pos :args (@t96)) % 0.37/0.58 (step @p200 :rule reordering :premises (@p199) :args ((or @t93 @t95 (not @t96)))) % 0.37/0.58 (step @p201 :rule and_elim :premises (@p189) :args (4)) % 0.37/0.58 (step @p202 :rule instantiate :premises (@p201) :args ((@list @t91 @t57))) % 0.37/0.58 (step @p203 :rule cnf_or_pos :args (@t100)) % 0.37/0.58 (step @p204 :rule reordering :premises (@p203) :args ((or @t99 @t98 (not @t100)))) % 0.37/0.58 (step @p205 :rule and_elim :premises (@p189) :args (6)) % 0.37/0.58 (step @p206 :rule instantiate :premises (@p205) :args ((@list @t91 tptp.a))) % 0.37/0.58 (step @p207 :rule cnf_or_pos :args (@t102)) % 0.37/0.58 (step @p208 :rule reordering :premises (@p207) :args ((or @t99 @t101 (not @t102)))) % 0.37/0.58 (step @p209 :rule instantiate :premises (@p191) :args ((@list @t91))) % 0.37/0.58 (step @p210 :rule cnf_or_pos :args (@t105)) % 0.37/0.58 (step @p211 :rule reordering :premises (@p210) :args ((or @t97 @t103 @t104 (not @t105)))) % 0.37/0.58 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p208 @p206 @p204 @p202 @p200 @p198 @p196 @p194) :args (@t93 (@list false false false true false false false false false) (@list @t105 @t101 @t102 @t97 @t100 @t95 @t96 @t92 @t94))) % 0.37/0.58 (step @p213 :rule and_elim :premises (@p189) :args (5)) % 0.37/0.58 (step @p214 :rule instantiate :premises (@p213) :args ((@list tptp.a))) % 0.37/0.58 (step @p215 :rule cnf_or_pos :args (@t110)) % 0.37/0.58 (step @p216 :rule reordering :premises (@p215) :args ((or @t108 @t109 @t106 (not @t110)))) % 0.37/0.58 (step @p217 :rule chain_m_resolution :premises (@p216 @p214 @p212 @p192) :args (@t106 (@list false false false) (@list @t107 @t93 @t110))) % 0.37/0.58 (assume-push @p224 @t89) % 0.37/0.58 (step @p219 :rule instantiate :premises (@p190) :args (@t90)) % 0.37/0.58 (step-pop @p225 :rule scope :premises (@p219)) % 0.37/0.58 (step @p220 :rule process_scope :premises (@p225) :args ((not @t106))) % 0.37/0.58 (step @p222 :rule implies_elim :premises (@p220)) % 0.37/0.58 (step @p223 false :rule chain_m_resolution :premises (@p222 @p217 @p190) :args (false (@list false false) (@list @t106 @t89))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------