%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM757^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:40:35 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM757^1 : TPTP v9.2.1. Released v3.7.0. % 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 : n020.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 12:13:55 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort tptp.frac 0) % 0.37/0.57 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.37/0.57 (declare-const tptp.lessf (-> tptp.frac tptp.frac Bool)) % 0.37/0.57 (declare-const tptp.x tptp.frac) % 0.37/0.57 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 0.37/0.57 (declare-const tptp.y tptp.frac) % 0.37/0.57 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 0.37/0.57 (declare-const tptp.z tptp.frac) % 0.37/0.57 (define @t1 () (_ (_ tptp.pf tptp.y) tptp.z)) % 0.37/0.57 (define @t2 () (_ (_ tptp.pf tptp.x) tptp.z)) % 0.37/0.57 (define @t3 () (_ (_ tptp.lessf @t2) @t1)) % 0.37/0.57 (define @t4 () (@var "Xa" Bool)) % 0.37/0.57 (define @t5 () (@var "Xy" tptp.frac)) % 0.37/0.57 (define @t6 () (@var "Xx" tptp.frac)) % 0.37/0.57 (define @t7 () (_ (_ tptp.eq @t6) @t5)) % 0.37/0.57 (define @t8 () (not @t7)) % 0.37/0.57 (define @t9 () (_ (_ tptp.lessf @t6) @t5)) % 0.37/0.57 (define @t10 () (=> @t9 @t8)) % 0.37/0.57 (define @t11 () (not @t10)) % 0.37/0.57 (define @t12 () (not @t9)) % 0.37/0.57 (define @t13 () (_ (_ tptp.moref @t6) @t5)) % 0.37/0.57 (define @t14 () (=> @t13 @t12)) % 0.37/0.57 (define @t15 () (=> @t14 @t11)) % 0.37/0.57 (define @t16 () (not @t15)) % 0.37/0.57 (define @t17 () (not @t13)) % 0.37/0.57 (define @t18 () (=> @t7 @t17)) % 0.37/0.57 (define @t19 () (=> @t18 (not @t16))) % 0.37/0.57 (define @t20 () (not @t19)) % 0.37/0.57 (define @t21 () (@list @t6 @t5)) % 0.37/0.57 (define @t22 () (forall @t21 @t20)) % 0.37/0.57 (define @t23 () (@var "Xz" tptp.frac)) % 0.37/0.57 (define @t24 () (_ (_ tptp.pf @t5) @t23)) % 0.37/0.57 (define @t25 () (_ (_ tptp.pf @t6) @t23)) % 0.37/0.57 (define @t26 () (_ (_ tptp.moref @t25) @t24)) % 0.37/0.57 (define @t27 () (@list @t6 @t5 @t23)) % 0.37/0.57 (define @t28 () (forall @t27 (=> @t13 @t26))) % 0.37/0.57 (define @t29 () (_ (_ tptp.eq @t25) @t24)) % 0.37/0.57 (define @t30 () (forall @t27 (=> @t7 @t29))) % 0.37/0.57 (define @t31 () (=> @t17 @t9)) % 0.37/0.57 (define @t32 () (forall @t21 (=> @t8 @t31))) % 0.37/0.57 (define @t33 () (_ (_ tptp.lessf tptp.x) tptp.y)) % 0.37/0.57 (define @t34 () (not @t33)) % 0.37/0.57 (define @t35 () (tptp.pf @t5 @t23)) % 0.37/0.57 (define @t36 () (tptp.pf @t6 @t23)) % 0.37/0.57 (define @t37 () (tptp.moref @t36 @t35)) % 0.37/0.57 (define @t38 () (tptp.moref @t6 @t5)) % 0.37/0.57 (define @t39 () (or @t17 @t26)) % 0.37/0.57 (define @t40 () (tptp.lessf @t6 @t5)) % 0.37/0.57 (define @t41 () (tptp.eq @t6 @t5)) % 0.37/0.57 (define @t42 () (or @t7 @t13 @t9)) % 0.37/0.57 (define @t43 () (tptp.eq @t36 @t35)) % 0.37/0.57 (define @t44 () (or @t8 @t29)) % 0.37/0.57 (define @t45 () (@list tptp.x tptp.y tptp.z)) % 0.37/0.57 (define @t46 () (@var "BOUND_VARIABLE_7513" tptp.frac)) % 0.37/0.57 (define @t47 () (@var "BOUND_VARIABLE_7511" tptp.frac)) % 0.37/0.57 (define @t48 () (tptp.eq @t47 @t46)) % 0.37/0.57 (define @t49 () (_ (_ tptp.eq @t47) @t46)) % 0.37/0.57 (define @t50 () (not @t49)) % 0.37/0.57 (define @t51 () (tptp.lessf @t47 @t46)) % 0.37/0.57 (define @t52 () (_ (_ tptp.lessf @t47) @t46)) % 0.37/0.57 (define @t53 () (not @t52)) % 0.37/0.57 (define @t54 () (or @t53 @t50)) % 0.37/0.57 (define @t55 () (forall (@list @t47 @t46) @t54)) % 0.37/0.57 (define @t56 () (@var "BOUND_VARIABLE_7500" tptp.frac)) % 0.37/0.57 (define @t57 () (@var "BOUND_VARIABLE_7498" tptp.frac)) % 0.37/0.57 (define @t58 () (tptp.lessf @t57 @t56)) % 0.37/0.57 (define @t59 () (_ (_ tptp.lessf @t57) @t56)) % 0.37/0.57 (define @t60 () (not @t59)) % 0.37/0.57 (define @t61 () (tptp.moref @t57 @t56)) % 0.37/0.57 (define @t62 () (_ (_ tptp.moref @t57) @t56)) % 0.37/0.57 (define @t63 () (not @t62)) % 0.37/0.57 (define @t64 () (or @t63 @t60)) % 0.37/0.57 (define @t65 () (forall (@list @t57 @t56) @t64)) % 0.37/0.57 (define @t66 () (@var "BOUND_VARIABLE_7487" tptp.frac)) % 0.37/0.57 (define @t67 () (@var "BOUND_VARIABLE_7485" tptp.frac)) % 0.37/0.57 (define @t68 () (tptp.moref @t67 @t66)) % 0.37/0.57 (define @t69 () (_ (_ tptp.moref @t67) @t66)) % 0.37/0.57 (define @t70 () (not @t69)) % 0.37/0.57 (define @t71 () (tptp.eq @t67 @t66)) % 0.37/0.57 (define @t72 () (_ (_ tptp.eq @t67) @t66)) % 0.37/0.57 (define @t73 () (not @t72)) % 0.37/0.57 (define @t74 () (or @t73 @t70)) % 0.37/0.57 (define @t75 () (forall (@list @t67 @t66) @t74)) % 0.37/0.57 (define @t76 () (or @t12 @t8)) % 0.37/0.57 (define @t77 () (forall @t21 @t76)) % 0.37/0.57 (define @t78 () (@list @t6 @t5)) % 0.37/0.57 (define @t79 () (or @t17 @t12)) % 0.37/0.57 (define @t80 () (forall @t21 @t79)) % 0.37/0.57 (define @t81 () (or @t8 @t17)) % 0.37/0.57 (define @t82 () (forall @t21 @t81)) % 0.37/0.57 (define @t83 () (and @t82 @t80 @t77)) % 0.37/0.57 (define @t84 () (and @t81 @t79 @t76)) % 0.37/0.57 (define @t85 () (tptp.pf tptp.y tptp.z)) % 0.37/0.57 (define @t86 () (tptp.pf tptp.x tptp.z)) % 0.37/0.57 (define @t87 () (@list @t86 @t85)) % 0.37/0.57 (define @t88 () (tptp.lessf @t86 @t85)) % 0.37/0.57 (define @t89 () (tptp.eq @t86 @t85)) % 0.37/0.57 (define @t90 () (not @t89)) % 0.37/0.57 (define @t91 () (not @t88)) % 0.37/0.57 (define @t92 () (or @t91 @t90)) % 0.37/0.57 (define @t93 () (@list false false)) % 0.37/0.57 (define @t94 () (tptp.eq tptp.x tptp.y)) % 0.37/0.57 (define @t95 () (not @t94)) % 0.37/0.57 (define @t96 () (or @t95 @t89)) % 0.37/0.57 (define @t97 () (@list true false)) % 0.37/0.57 (define @t98 () (tptp.lessf tptp.x tptp.y)) % 0.37/0.57 (define @t99 () (tptp.moref tptp.x tptp.y)) % 0.37/0.57 (define @t100 () (or @t94 @t99 @t98)) % 0.37/0.57 (define @t101 () (tptp.moref @t86 @t85)) % 0.37/0.57 (define @t102 () (not @t101)) % 0.37/0.57 (define @t103 () (or @t102 @t91)) % 0.37/0.57 (define @t104 () (not @t99)) % 0.37/0.57 (define @t105 () (or @t104 @t101)) % 0.37/0.57 (define @t106 () (not @t105)) % 0.37/0.57 (define @t107 () (forall @t27 (or (not @t38) @t37))) % 0.37/0.57 (assume @p1 @t3) % 0.37/0.57 (assume @p2 (forall (@list @t4) (=> (not (not @t4)) @t4))) % 0.37/0.57 (assume @p3 @t22) % 0.37/0.57 (assume @p4 @t28) % 0.37/0.57 (assume @p5 @t30) % 0.37/0.57 (assume @p6 @t32) % 0.37/0.57 (assume @p7 @t34) % 0.37/0.57 (assume @p8 true) % 0.37/0.57 (step @p9 :rule refl :args ((tptp.moref @t25 @t24))) % 0.37/0.57 (step @p10 :rule refl :args (@t35)) % 0.37/0.57 (step @p11 :rule refl :args (@t36)) % 0.37/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args (@t37)) % 0.37/0.57 (step @p13 :rule trans :premises (@p12 @p9)) % 0.37/0.57 (step @p14 :rule refl :args (tptp.moref)) % 0.37/0.57 (step @p15 :rule ho_cong :premises (@p14 @p11)) % 0.37/0.57 (step @p16 :rule ho_cong :premises (@p15 @p10)) % 0.37/0.57 (step @p17 :rule cong :premises (@p16 @p13) :args ((= (_ (_ tptp.moref @t36) @t35) @t37))) % 0.37/0.57 (step @p18 :rule symm :premises (@p17)) % 0.37/0.57 (step @p19 :rule refl :args (@t26)) % 0.37/0.57 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.37/0.57 (step @p21 :rule refl :args (@t24)) % 0.37/0.57 (step @p22 :rule cong :premises (@p21 @p10) :args ((= @t24 @t35))) % 0.37/0.57 (step @p23 :rule symm :premises (@p22)) % 0.37/0.57 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.37/0.57 (step @p25 :rule refl :args (@t25)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25 @p11) :args ((= @t25 @t36))) % 0.37/0.57 (step @p27 :rule symm :premises (@p26)) % 0.37/0.57 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.37/0.57 (step @p29 :rule ho_cong :premises (@p14 @p28)) % 0.37/0.57 (step @p30 :rule ho_cong :premises (@p29 @p24)) % 0.37/0.57 (step @p31 :rule trans :premises (@p30 @p20)) % 0.37/0.57 (step @p32 :rule refl :args (@t38)) % 0.37/0.57 (step @p33 :rule refl :args (@t13)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t13 @t38))) % 0.37/0.57 (step @p35 :rule symm :premises (@p34)) % 0.37/0.57 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.37/0.57 (step @p37 :rule cong :premises (@p36) :args (@t17)) % 0.37/0.57 (step @p38 :rule nary_cong :premises (@p37 @p31) :args (@t39)) % 0.37/0.57 (step @p39 :rule cong :premises (@p38) :args ((forall @t27 @t39))) % 0.37/0.57 (step @p40 :rule bool-impl-elim :args (@t13 @t26)) % 0.37/0.57 (step @p41 :rule cong :premises (@p40) :args (@t28)) % 0.37/0.57 (step @p42 :rule trans :premises (@p41 @p39)) % 0.37/0.57 (step @p43 :rule eq_resolve :premises (@p4 @p42)) % 0.37/0.57 (step @p44 :rule refl :args (@t40)) % 0.37/0.57 (step @p45 :rule refl :args (@t9)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t9 @t40))) % 0.37/0.57 (step @p47 :rule symm :premises (@p46)) % 0.37/0.57 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.37/0.57 (step @p49 :rule refl :args (@t41)) % 0.37/0.57 (step @p50 :rule refl :args (@t7)) % 0.37/0.57 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t7 @t41))) % 0.37/0.57 (step @p52 :rule symm :premises (@p51)) % 0.37/0.57 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.37/0.57 (step @p54 :rule nary_cong :premises (@p53 @p36 @p48) :args (@t42)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54) :args ((forall @t21 @t42))) % 0.37/0.57 (step @p56 :rule aci_norm :args ((= (or @t7 (or @t13 @t9)) @t42))) % 0.37/0.57 (step @p57 :rule bool-double-not-elim :args (@t13)) % 0.37/0.57 (step @p58 :rule nary_cong :premises (@p57 @p45) :args ((or (not @t17) @t9))) % 0.37/0.57 (step @p59 :rule bool-impl-elim :args (@t17 @t9)) % 0.37/0.57 (step @p60 :rule trans :premises (@p59 @p58)) % 0.37/0.57 (step @p61 :rule nary_cong :premises (@p50 @p60) :args ((or @t7 @t31))) % 0.37/0.57 (step @p62 :rule trans :premises (@p61 @p56)) % 0.37/0.57 (step @p63 :rule refl :args (@t31)) % 0.37/0.57 (step @p64 :rule bool-double-not-elim :args (@t7)) % 0.37/0.57 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t8) @t31))) % 0.37/0.57 (step @p66 :rule bool-impl-elim :args (@t8 @t31)) % 0.37/0.57 (step @p67 :rule trans :premises (@p66 @p65)) % 0.37/0.57 (step @p68 :rule trans :premises (@p67 @p62)) % 0.37/0.57 (step @p69 :rule cong :premises (@p68) :args (@t32)) % 0.37/0.57 (step @p70 :rule trans :premises (@p69 @p55)) % 0.37/0.57 (step @p71 :rule eq_resolve :premises (@p6 @p70)) % 0.37/0.57 (step @p72 :rule instantiate :premises (@p71) :args ((@list tptp.x tptp.y))) % 0.37/0.57 (step @p73 :rule refl :args ((tptp.eq @t25 @t24))) % 0.37/0.57 (step @p74 :rule cong :premises (@p11 @p10) :args (@t43)) % 0.37/0.57 (step @p75 :rule trans :premises (@p74 @p73)) % 0.37/0.57 (step @p76 :rule refl :args (tptp.eq)) % 0.37/0.57 (step @p77 :rule ho_cong :premises (@p76 @p11)) % 0.37/0.57 (step @p78 :rule ho_cong :premises (@p77 @p10)) % 0.37/0.57 (step @p79 :rule cong :premises (@p78 @p75) :args ((= (_ (_ tptp.eq @t36) @t35) @t43))) % 0.37/0.57 (step @p80 :rule symm :premises (@p79)) % 0.37/0.57 (step @p81 :rule refl :args (@t29)) % 0.37/0.57 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.37/0.57 (step @p83 :rule ho_cong :premises (@p76 @p28)) % 0.37/0.57 (step @p84 :rule ho_cong :premises (@p83 @p24)) % 0.37/0.57 (step @p85 :rule trans :premises (@p84 @p82)) % 0.37/0.57 (step @p86 :rule cong :premises (@p53) :args (@t8)) % 0.37/0.57 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t44)) % 0.37/0.57 (step @p88 :rule cong :premises (@p87) :args ((forall @t27 @t44))) % 0.37/0.57 (step @p89 :rule bool-impl-elim :args (@t7 @t29)) % 0.37/0.57 (step @p90 :rule cong :premises (@p89) :args (@t30)) % 0.37/0.57 (step @p91 :rule trans :premises (@p90 @p88)) % 0.37/0.57 (step @p92 :rule eq_resolve :premises (@p5 @p91)) % 0.37/0.57 (step @p93 :rule instantiate :premises (@p92) :args (@t45)) % 0.37/0.57 (step @p94 :rule refl :args (@t48)) % 0.37/0.57 (step @p95 :rule refl :args (@t49)) % 0.37/0.57 (step @p96 :rule cong :premises (@p95 @p94) :args ((= @t49 @t48))) % 0.37/0.57 (step @p97 :rule symm :premises (@p96)) % 0.37/0.57 (step @p98 :rule eq_resolve :premises (@p95 @p97)) % 0.37/0.57 (step @p99 :rule cong :premises (@p98) :args (@t50)) % 0.37/0.57 (step @p100 :rule refl :args (@t51)) % 0.37/0.57 (step @p101 :rule refl :args (@t52)) % 0.37/0.57 (step @p102 :rule cong :premises (@p101 @p100) :args ((= @t52 @t51))) % 0.37/0.57 (step @p103 :rule symm :premises (@p102)) % 0.37/0.57 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 0.37/0.57 (step @p105 :rule cong :premises (@p104) :args (@t53)) % 0.37/0.57 (step @p106 :rule nary_cong :premises (@p105 @p99) :args (@t54)) % 0.37/0.57 (step @p107 :rule cong :premises (@p106) :args (@t55)) % 0.37/0.57 (step @p108 :rule refl :args (@t58)) % 0.37/0.57 (step @p109 :rule refl :args (@t59)) % 0.37/0.57 (step @p110 :rule cong :premises (@p109 @p108) :args ((= @t59 @t58))) % 0.37/0.57 (step @p111 :rule symm :premises (@p110)) % 0.37/0.57 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 0.37/0.57 (step @p113 :rule cong :premises (@p112) :args (@t60)) % 0.37/0.57 (step @p114 :rule refl :args (@t61)) % 0.37/0.57 (step @p115 :rule refl :args (@t62)) % 0.37/0.57 (step @p116 :rule cong :premises (@p115 @p114) :args ((= @t62 @t61))) % 0.37/0.57 (step @p117 :rule symm :premises (@p116)) % 0.37/0.57 (step @p118 :rule eq_resolve :premises (@p115 @p117)) % 0.37/0.57 (step @p119 :rule cong :premises (@p118) :args (@t63)) % 0.37/0.57 (step @p120 :rule nary_cong :premises (@p119 @p113) :args (@t64)) % 0.37/0.57 (step @p121 :rule cong :premises (@p120) :args (@t65)) % 0.37/0.57 (step @p122 :rule refl :args (@t68)) % 0.37/0.57 (step @p123 :rule refl :args (@t69)) % 0.37/0.57 (step @p124 :rule cong :premises (@p123 @p122) :args ((= @t69 @t68))) % 0.37/0.57 (step @p125 :rule symm :premises (@p124)) % 0.37/0.57 (step @p126 :rule eq_resolve :premises (@p123 @p125)) % 0.37/0.57 (step @p127 :rule cong :premises (@p126) :args (@t70)) % 0.37/0.57 (step @p128 :rule refl :args (@t71)) % 0.37/0.57 (step @p129 :rule refl :args (@t72)) % 0.37/0.57 (step @p130 :rule cong :premises (@p129 @p128) :args ((= @t72 @t71))) % 0.37/0.57 (step @p131 :rule symm :premises (@p130)) % 0.37/0.57 (step @p132 :rule eq_resolve :premises (@p129 @p131)) % 0.37/0.57 (step @p133 :rule cong :premises (@p132) :args (@t73)) % 0.37/0.57 (step @p134 :rule nary_cong :premises (@p133 @p127) :args (@t74)) % 0.37/0.57 (step @p135 :rule cong :premises (@p134) :args (@t75)) % 0.37/0.57 (step @p136 :rule nary_cong :premises (@p135 @p121 @p107) :args ((and @t75 @t65 @t55))) % 0.37/0.57 (step @p137 :rule alpha_equiv :args (@t77 @t78 (@list @t47 @t46))) % 0.37/0.57 (step @p138 :rule alpha_equiv :args (@t80 @t78 (@list @t57 @t56))) % 0.37/0.57 (step @p139 :rule alpha_equiv :args (@t82 @t78 (@list @t67 @t66))) % 0.37/0.57 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137) :args (@t83)) % 0.37/0.57 (step @p141 :rule quant-miniscope-and :args ((= (forall @t21 @t84) @t83))) % 0.37/0.57 (step @p142 :rule trans :premises (@p141 @p140)) % 0.37/0.57 (step @p143 :rule trans :premises (@p142 @p136)) % 0.37/0.57 (step @p144 :rule aci_norm :args ((= (and @t81 (and @t79 @t76)) @t84))) % 0.37/0.57 (step @p145 :rule bool-impl-elim :args (@t9 @t8)) % 0.37/0.57 (step @p146 :rule bool-impl-elim :args (@t13 @t12)) % 0.37/0.57 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((and @t14 @t10))) % 0.37/0.57 (step @p148 :rule bool-double-not-elim :args (@t10)) % 0.37/0.57 (step @p149 :rule refl :args (@t14)) % 0.37/0.57 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((and @t14 (not @t11)))) % 0.37/0.57 (step @p151 :rule bool-implies-de-morgan :args (@t14 @t11)) % 0.37/0.57 (step @p152 :rule trans :premises (@p151 @p150)) % 0.37/0.57 (step @p153 :rule trans :premises (@p152 @p147)) % 0.37/0.57 (step @p154 :rule bool-impl-elim :args (@t7 @t17)) % 0.37/0.57 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((and @t18 @t16))) % 0.37/0.57 (step @p156 :rule trans :premises (@p155 @p144)) % 0.37/0.57 (step @p157 :rule bool-implies-de-morgan :args (@t18 @t15)) % 0.37/0.57 (step @p158 :rule trans :premises (@p157 @p156)) % 0.37/0.57 (step @p159 :rule cong :premises (@p158) :args ((forall @t21 (not (=> @t18 @t15))))) % 0.37/0.57 (step @p160 :rule trans :premises (@p159 @p143)) % 0.37/0.57 (step @p161 :rule bool-double-not-elim :args (@t15)) % 0.37/0.57 (step @p162 :rule refl :args (@t18)) % 0.37/0.57 (step @p163 :rule cong :premises (@p162 @p161) :args (@t19)) % 0.37/0.57 (step @p164 :rule cong :premises (@p163) :args (@t20)) % 0.37/0.57 (step @p165 :rule cong :premises (@p164) :args (@t22)) % 0.37/0.57 (step @p166 :rule trans :premises (@p165 @p160)) % 0.37/0.57 (step @p167 :rule eq_resolve :premises (@p3 @p166)) % 0.37/0.57 (step @p168 :rule and_elim :premises (@p167) :args (2)) % 0.37/0.57 (step @p169 :rule instantiate :premises (@p168) :args (@t87)) % 0.37/0.57 (step @p170 :rule refl :args ((tptp.lessf @t2 @t1))) % 0.37/0.57 (step @p171 :rule refl :args (@t85)) % 0.37/0.57 (step @p172 :rule refl :args (@t86)) % 0.37/0.57 (step @p173 :rule cong :premises (@p172 @p171) :args (@t88)) % 0.37/0.57 (step @p174 :rule trans :premises (@p173 @p170)) % 0.37/0.57 (step @p175 :rule refl :args (tptp.lessf)) % 0.37/0.57 (step @p176 :rule ho_cong :premises (@p175 @p172)) % 0.37/0.57 (step @p177 :rule ho_cong :premises (@p176 @p171)) % 0.37/0.57 (step @p178 :rule cong :premises (@p177 @p174) :args ((= (_ (_ tptp.lessf @t86) @t85) @t88))) % 0.37/0.57 (step @p179 :rule symm :premises (@p178)) % 0.37/0.57 (step @p180 :rule refl :args (@t3)) % 0.37/0.57 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 0.37/0.57 (step @p182 :rule refl :args (@t1)) % 0.37/0.57 (step @p183 :rule cong :premises (@p182 @p171) :args ((= @t1 @t85))) % 0.37/0.57 (step @p184 :rule symm :premises (@p183)) % 0.37/0.57 (step @p185 :rule eq_resolve :premises (@p182 @p184)) % 0.37/0.57 (step @p186 :rule refl :args (@t2)) % 0.37/0.57 (step @p187 :rule cong :premises (@p186 @p172) :args ((= @t2 @t86))) % 0.37/0.57 (step @p188 :rule symm :premises (@p187)) % 0.37/0.57 (step @p189 :rule eq_resolve :premises (@p186 @p188)) % 0.37/0.57 (step @p190 :rule refl :args (tptp.lessf)) % 0.37/0.57 (step @p191 :rule ho_cong :premises (@p190 @p189)) % 0.37/0.57 (step @p192 :rule ho_cong :premises (@p191 @p185)) % 0.37/0.57 (step @p193 :rule trans :premises (@p192 @p181)) % 0.37/0.57 (step @p194 :rule eq_resolve :premises (@p1 @p193)) % 0.37/0.57 (step @p195 :rule cnf_or_pos :args (@t92)) % 0.37/0.57 (step @p196 :rule reordering :premises (@p195) :args ((or @t91 @t90 (not @t92)))) % 0.37/0.57 (step @p197 :rule chain_m_resolution :premises (@p196 @p194 @p169) :args (@t90 @t93 (@list @t88 @t92))) % 0.37/0.57 (step @p198 :rule cnf_or_pos :args (@t96)) % 0.37/0.57 (step @p199 :rule reordering :premises (@p198) :args ((or @t89 @t95 (not @t96)))) % 0.37/0.57 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p93) :args (@t95 @t97 (@list @t89 @t96))) % 0.37/0.57 (step @p201 :rule refl :args (@t98)) % 0.37/0.57 (step @p202 :rule refl :args (@t33)) % 0.37/0.57 (step @p203 :rule cong :premises (@p202 @p201) :args ((= @t33 @t98))) % 0.37/0.57 (step @p204 :rule symm :premises (@p203)) % 0.37/0.57 (step @p205 :rule eq_resolve :premises (@p202 @p204)) % 0.37/0.57 (step @p206 :rule cong :premises (@p205) :args (@t34)) % 0.37/0.57 (step @p207 :rule eq_resolve :premises (@p7 @p206)) % 0.37/0.57 (step @p208 :rule cnf_or_pos :args (@t100)) % 0.37/0.57 (step @p209 :rule reordering :premises (@p208) :args ((or @t98 @t94 @t99 (not @t100)))) % 0.37/0.57 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p200 @p72) :args (@t99 (@list true true false) (@list @t98 @t94 @t100))) % 0.37/0.57 (step @p211 :rule and_elim :premises (@p167) :args (1)) % 0.37/0.57 (step @p212 :rule instantiate :premises (@p211) :args (@t87)) % 0.37/0.57 (step @p213 :rule cnf_or_pos :args (@t103)) % 0.37/0.57 (step @p214 :rule reordering :premises (@p213) :args ((or @t91 @t102 (not @t103)))) % 0.37/0.57 (step @p215 :rule chain_m_resolution :premises (@p214 @p194 @p212) :args (@t102 @t93 (@list @t88 @t103))) % 0.37/0.57 (step @p216 :rule cnf_or_pos :args (@t105)) % 0.37/0.57 (step @p217 :rule reordering :premises (@p216) :args ((or @t101 @t104 @t106))) % 0.37/0.57 (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p210) :args (@t106 @t97 (@list @t101 @t99))) % 0.37/0.57 (assume-push @p225 @t107) % 0.37/0.57 (step @p220 :rule instantiate :premises (@p43) :args (@t45)) % 0.37/0.57 (step-pop @p226 :rule scope :premises (@p220)) % 0.37/0.57 (step @p221 :rule process_scope :premises (@p226) :args (@t105)) % 0.37/0.57 (step @p223 :rule implies_elim :premises (@p221)) % 0.37/0.57 (step @p224 false :rule chain_m_resolution :premises (@p223 @p218 @p43) :args (false @t97 (@list @t105 @t107))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------