%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM681^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:40:21 AM UTC 2026 % Result : Theorem 0.46s 0.62s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM681^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.20/0.35 % Computer : n017.cluster.edu % 0.20/0.35 % Model : x86_64 x86_64 % 0.20/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.35 % Memory : 8042.1875MB % 0.20/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.20/0.35 % CPULimit : 300 % 0.20/0.35 % WCLimit : 300 % 0.20/0.35 % DateTime : Tue Jun 2 11:51:16 EDT 2026 % 0.20/0.36 % CPUTime : % 0.32/0.51 %----Proving TH0 % 0.46/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.46/0.62 % SZS status Theorem % 0.46/0.62 % SZS output start Proof % 0.46/0.62 ( % 0.46/0.62 (declare-sort tptp.nat 0) % 0.46/0.62 (declare-const tptp.less (-> tptp.nat tptp.nat Bool)) % 0.46/0.62 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.46/0.62 (declare-const tptp.x tptp.nat) % 0.46/0.62 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.46/0.62 (declare-const tptp.y tptp.nat) % 0.46/0.62 (declare-const tptp.z tptp.nat) % 0.46/0.62 (define @t1 () (_ (_ tptp.pl tptp.y) tptp.z)) % 0.46/0.62 (define @t2 () (_ (_ tptp.pl tptp.x) tptp.z)) % 0.46/0.62 (define @t3 () (= @t2 @t1)) % 0.46/0.62 (define @t4 () (@var "Xa" Bool)) % 0.46/0.62 (define @t5 () (@var "Xy" tptp.nat)) % 0.46/0.62 (define @t6 () (@var "Xx" tptp.nat)) % 0.46/0.62 (define @t7 () (= @t6 @t5)) % 0.46/0.62 (define @t8 () (not @t7)) % 0.46/0.62 (define @t9 () (_ (_ tptp.less @t6) @t5)) % 0.46/0.62 (define @t10 () (=> @t9 @t8)) % 0.46/0.62 (define @t11 () (not @t10)) % 0.46/0.62 (define @t12 () (not @t9)) % 0.46/0.62 (define @t13 () (_ (_ tptp.more @t6) @t5)) % 0.46/0.62 (define @t14 () (=> @t13 @t12)) % 0.46/0.62 (define @t15 () (=> @t14 @t11)) % 0.46/0.62 (define @t16 () (not @t15)) % 0.46/0.62 (define @t17 () (not @t13)) % 0.46/0.62 (define @t18 () (=> @t7 @t17)) % 0.46/0.62 (define @t19 () (=> @t18 (not @t16))) % 0.46/0.62 (define @t20 () (not @t19)) % 0.46/0.62 (define @t21 () (@list @t6 @t5)) % 0.46/0.62 (define @t22 () (forall @t21 @t20)) % 0.46/0.62 (define @t23 () (@var "Xz" tptp.nat)) % 0.46/0.62 (define @t24 () (_ (_ tptp.pl @t5) @t23)) % 0.46/0.62 (define @t25 () (_ (_ tptp.pl @t6) @t23)) % 0.46/0.62 (define @t26 () (_ (_ tptp.less @t25) @t24)) % 0.46/0.62 (define @t27 () (@list @t6 @t5 @t23)) % 0.46/0.62 (define @t28 () (forall @t27 (=> @t9 @t26))) % 0.46/0.62 (define @t29 () (=> @t17 @t9)) % 0.46/0.62 (define @t30 () (forall @t21 (=> @t8 @t29))) % 0.46/0.62 (define @t31 () (_ (_ tptp.more @t25) @t24)) % 0.46/0.62 (define @t32 () (forall @t27 (=> @t13 @t31))) % 0.46/0.62 (define @t33 () (= tptp.x tptp.y)) % 0.46/0.62 (define @t34 () (tptp.pl @t5 @t23)) % 0.46/0.62 (define @t35 () (tptp.pl @t6 @t23)) % 0.46/0.62 (define @t36 () (tptp.less @t35 @t34)) % 0.46/0.62 (define @t37 () (tptp.less @t6 @t5)) % 0.46/0.62 (define @t38 () (or @t12 @t26)) % 0.46/0.62 (define @t39 () (@var "BOUND_VARIABLE_7508" tptp.nat)) % 0.46/0.62 (define @t40 () (not (tptp.less @t39 @t39))) % 0.46/0.62 (define @t41 () (not (= @t39 @t39))) % 0.46/0.62 (define @t42 () (or @t40 @t41)) % 0.46/0.62 (define @t43 () (@list @t39)) % 0.46/0.62 (define @t44 () (@var "BOUND_VARIABLE_7506" tptp.nat)) % 0.46/0.62 (define @t45 () (not (= @t44 @t39))) % 0.46/0.62 (define @t46 () (tptp.less @t44 @t39)) % 0.46/0.62 (define @t47 () (not @t46)) % 0.46/0.62 (define @t48 () (or @t45 @t47 @t45)) % 0.46/0.62 (define @t49 () (@list @t44)) % 0.46/0.62 (define @t50 () (or @t47 @t45)) % 0.46/0.62 (define @t51 () (forall @t49 @t50)) % 0.46/0.62 (define @t52 () (forall @t43 @t51)) % 0.46/0.62 (define @t53 () (forall (@list @t39 @t44) @t50)) % 0.46/0.62 (define @t54 () (@list @t44 @t39)) % 0.46/0.62 (define @t55 () (_ (_ tptp.less @t44) @t39)) % 0.46/0.62 (define @t56 () (not @t55)) % 0.46/0.62 (define @t57 () (or @t56 @t45)) % 0.46/0.62 (define @t58 () (forall @t54 @t57)) % 0.46/0.62 (define @t59 () (@var "BOUND_VARIABLE_7495" tptp.nat)) % 0.46/0.62 (define @t60 () (@var "BOUND_VARIABLE_7493" tptp.nat)) % 0.46/0.62 (define @t61 () (tptp.less @t60 @t59)) % 0.46/0.62 (define @t62 () (_ (_ tptp.less @t60) @t59)) % 0.46/0.62 (define @t63 () (not @t62)) % 0.46/0.62 (define @t64 () (tptp.more @t60 @t59)) % 0.46/0.62 (define @t65 () (_ (_ tptp.more @t60) @t59)) % 0.46/0.62 (define @t66 () (not @t65)) % 0.46/0.62 (define @t67 () (or @t66 @t63)) % 0.46/0.62 (define @t68 () (forall (@list @t60 @t59) @t67)) % 0.46/0.62 (define @t69 () (@var "BOUND_VARIABLE_7483" tptp.nat)) % 0.46/0.62 (define @t70 () (not (tptp.more @t69 @t69))) % 0.46/0.62 (define @t71 () (not (= @t69 @t69))) % 0.46/0.62 (define @t72 () (or @t71 @t70)) % 0.46/0.62 (define @t73 () (@list @t69)) % 0.46/0.62 (define @t74 () (@var "BOUND_VARIABLE_7481" tptp.nat)) % 0.46/0.62 (define @t75 () (tptp.more @t74 @t69)) % 0.46/0.62 (define @t76 () (not @t75)) % 0.46/0.62 (define @t77 () (not (= @t74 @t69))) % 0.46/0.62 (define @t78 () (or @t77 @t77 @t76)) % 0.46/0.62 (define @t79 () (@list @t74)) % 0.46/0.62 (define @t80 () (or @t77 @t76)) % 0.46/0.62 (define @t81 () (forall @t79 @t80)) % 0.46/0.62 (define @t82 () (forall @t73 @t81)) % 0.46/0.62 (define @t83 () (forall (@list @t69 @t74) @t80)) % 0.46/0.62 (define @t84 () (@list @t74 @t69)) % 0.46/0.62 (define @t85 () (_ (_ tptp.more @t74) @t69)) % 0.46/0.62 (define @t86 () (not @t85)) % 0.46/0.62 (define @t87 () (or @t77 @t86)) % 0.46/0.62 (define @t88 () (forall @t84 @t87)) % 0.46/0.62 (define @t89 () (or @t12 @t8)) % 0.46/0.62 (define @t90 () (forall @t21 @t89)) % 0.46/0.62 (define @t91 () (@list @t6 @t5)) % 0.46/0.62 (define @t92 () (or @t17 @t12)) % 0.46/0.62 (define @t93 () (forall @t21 @t92)) % 0.46/0.62 (define @t94 () (or @t8 @t17)) % 0.46/0.62 (define @t95 () (forall @t21 @t94)) % 0.46/0.62 (define @t96 () (and @t95 @t93 @t90)) % 0.46/0.62 (define @t97 () (and @t94 @t92 @t89)) % 0.46/0.62 (define @t98 () (tptp.pl tptp.y tptp.z)) % 0.46/0.63 (define @t99 () (@list @t98)) % 0.46/0.63 (define @t100 () (tptp.pl tptp.x tptp.z)) % 0.46/0.63 (define @t101 () (tptp.less @t98 @t100)) % 0.46/0.63 (define @t102 () (tptp.more @t6 @t5)) % 0.46/0.63 (define @t103 () (or @t7 @t13 @t9)) % 0.46/0.63 (define @t104 () (tptp.less tptp.y tptp.x)) % 0.46/0.63 (define @t105 () (tptp.more tptp.y tptp.x)) % 0.46/0.63 (define @t106 () (or (= tptp.y tptp.x) @t105 @t104)) % 0.46/0.63 (define @t107 () (forall @t21 (or @t7 @t102 @t37))) % 0.46/0.63 (define @t108 () (or @t33 @t105 @t104)) % 0.46/0.63 (define @t109 () (tptp.more @t35 @t34)) % 0.46/0.63 (define @t110 () (or @t17 @t31)) % 0.46/0.63 (define @t111 () (@list tptp.y tptp.x tptp.z)) % 0.46/0.63 (define @t112 () (tptp.more @t98 @t100)) % 0.46/0.63 (define @t113 () (not @t105)) % 0.46/0.63 (define @t114 () (or @t113 @t112)) % 0.46/0.63 (define @t115 () (@list true false)) % 0.46/0.63 (define @t116 () (not @t104)) % 0.46/0.63 (define @t117 () (or @t116 @t101)) % 0.46/0.63 (define @t118 () (not @t117)) % 0.46/0.63 (define @t119 () (forall @t27 (or (not @t37) @t36))) % 0.46/0.63 (assume @p1 @t3) % 0.46/0.63 (assume @p2 (forall (@list @t4) (=> (not (not @t4)) @t4))) % 0.46/0.63 (assume @p3 @t22) % 0.46/0.63 (assume @p4 @t28) % 0.46/0.63 (assume @p5 @t30) % 0.46/0.63 (assume @p6 @t32) % 0.46/0.63 (assume @p7 (not @t33)) % 0.46/0.63 (assume @p8 true) % 0.46/0.63 (step @p9 :rule refl :args ((tptp.less @t25 @t24))) % 0.46/0.63 (step @p10 :rule refl :args (@t34)) % 0.46/0.63 (step @p11 :rule refl :args (@t35)) % 0.46/0.63 (step @p12 :rule cong :premises (@p11 @p10) :args (@t36)) % 0.46/0.63 (step @p13 :rule trans :premises (@p12 @p9)) % 0.46/0.63 (step @p14 :rule refl :args (tptp.less)) % 0.46/0.63 (step @p15 :rule ho_cong :premises (@p14 @p11)) % 0.46/0.63 (step @p16 :rule ho_cong :premises (@p15 @p10)) % 0.46/0.63 (step @p17 :rule cong :premises (@p16 @p13) :args ((= (_ (_ tptp.less @t35) @t34) @t36))) % 0.46/0.63 (step @p18 :rule symm :premises (@p17)) % 0.46/0.63 (step @p19 :rule refl :args (@t26)) % 0.46/0.63 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.46/0.63 (step @p21 :rule refl :args (@t24)) % 0.46/0.63 (step @p22 :rule cong :premises (@p21 @p10) :args ((= @t24 @t34))) % 0.46/0.63 (step @p23 :rule symm :premises (@p22)) % 0.46/0.63 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.46/0.63 (step @p25 :rule refl :args (@t25)) % 0.46/0.63 (step @p26 :rule cong :premises (@p25 @p11) :args ((= @t25 @t35))) % 0.46/0.63 (step @p27 :rule symm :premises (@p26)) % 0.46/0.63 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.46/0.63 (step @p29 :rule ho_cong :premises (@p14 @p28)) % 0.46/0.63 (step @p30 :rule ho_cong :premises (@p29 @p24)) % 0.46/0.63 (step @p31 :rule trans :premises (@p30 @p20)) % 0.46/0.63 (step @p32 :rule refl :args (@t37)) % 0.46/0.63 (step @p33 :rule refl :args (@t9)) % 0.46/0.63 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t9 @t37))) % 0.46/0.63 (step @p35 :rule symm :premises (@p34)) % 0.46/0.63 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.46/0.63 (step @p37 :rule cong :premises (@p36) :args (@t12)) % 0.46/0.63 (step @p38 :rule nary_cong :premises (@p37 @p31) :args (@t38)) % 0.46/0.63 (step @p39 :rule cong :premises (@p38) :args ((forall @t27 @t38))) % 0.46/0.63 (step @p40 :rule bool-impl-elim :args (@t9 @t26)) % 0.46/0.63 (step @p41 :rule cong :premises (@p40) :args (@t28)) % 0.46/0.63 (step @p42 :rule trans :premises (@p41 @p39)) % 0.46/0.63 (step @p43 :rule eq_resolve :premises (@p4 @p42)) % 0.46/0.63 (step @p44 :rule aci_norm :args ((= (or @t40 false) @t40))) % 0.46/0.63 (step @p45 :rule evaluate :args ((not true))) % 0.46/0.63 (step @p46 :rule eq-refl :args (@t39)) % 0.46/0.63 (step @p47 :rule cong :premises (@p46) :args (@t41)) % 0.46/0.63 (step @p48 :rule trans :premises (@p47 @p45)) % 0.46/0.63 (step @p49 :rule refl :args (@t40)) % 0.46/0.63 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t42)) % 0.46/0.63 (step @p51 :rule trans :premises (@p50 @p44)) % 0.46/0.63 (step @p52 :rule cong :premises (@p51) :args ((forall @t43 @t42))) % 0.46/0.63 (step @p53 :rule quant-var-elim-eq :args ((= (forall @t49 @t48) @t42))) % 0.46/0.63 (step @p54 :rule aci_norm :args ((= @t50 @t48))) % 0.46/0.63 (step @p55 :rule cong :premises (@p54) :args (@t51)) % 0.46/0.63 (step @p56 :rule trans :premises (@p55 @p53)) % 0.46/0.63 (step @p57 :rule cong :premises (@p56) :args (@t52)) % 0.46/0.63 (step @p58 :rule quant-merge-prenex :args ((= @t52 @t53))) % 0.46/0.63 (step @p59 :rule symm :premises (@p58)) % 0.46/0.63 (step @p60 :rule quant_var_reordering :args ((= (forall @t54 @t50) @t53))) % 0.46/0.63 (step @p61 :rule trans :premises (@p60 @p59 @p57)) % 0.46/0.63 (step @p62 :rule trans :premises (@p61 @p52)) % 0.46/0.63 (step @p63 :rule refl :args (@t45)) % 0.46/0.63 (step @p64 :rule refl :args (@t46)) % 0.46/0.63 (step @p65 :rule refl :args (@t55)) % 0.46/0.63 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t55 @t46))) % 0.46/0.63 (step @p67 :rule symm :premises (@p66)) % 0.46/0.63 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.46/0.63 (step @p69 :rule cong :premises (@p68) :args (@t56)) % 0.46/0.63 (step @p70 :rule nary_cong :premises (@p69 @p63) :args (@t57)) % 0.46/0.63 (step @p71 :rule cong :premises (@p70) :args (@t58)) % 0.46/0.63 (step @p72 :rule trans :premises (@p71 @p62)) % 0.46/0.63 (step @p73 :rule refl :args (@t61)) % 0.46/0.63 (step @p74 :rule refl :args (@t62)) % 0.46/0.63 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t62 @t61))) % 0.46/0.63 (step @p76 :rule symm :premises (@p75)) % 0.46/0.63 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.46/0.63 (step @p78 :rule cong :premises (@p77) :args (@t63)) % 0.46/0.63 (step @p79 :rule refl :args (@t64)) % 0.46/0.63 (step @p80 :rule refl :args (@t65)) % 0.46/0.63 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t65 @t64))) % 0.46/0.63 (step @p82 :rule symm :premises (@p81)) % 0.46/0.63 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.46/0.63 (step @p84 :rule cong :premises (@p83) :args (@t66)) % 0.46/0.63 (step @p85 :rule nary_cong :premises (@p84 @p78) :args (@t67)) % 0.46/0.63 (step @p86 :rule cong :premises (@p85) :args (@t68)) % 0.46/0.63 (step @p87 :rule aci_norm :args ((= (or false @t70) @t70))) % 0.46/0.63 (step @p88 :rule refl :args (@t70)) % 0.46/0.63 (step @p89 :rule eq-refl :args (@t69)) % 0.46/0.63 (step @p90 :rule cong :premises (@p89) :args (@t71)) % 0.46/0.63 (step @p91 :rule trans :premises (@p90 @p45)) % 0.46/0.63 (step @p92 :rule nary_cong :premises (@p91 @p88) :args (@t72)) % 0.46/0.63 (step @p93 :rule trans :premises (@p92 @p87)) % 0.46/0.63 (step @p94 :rule cong :premises (@p93) :args ((forall @t73 @t72))) % 0.46/0.63 (step @p95 :rule quant-var-elim-eq :args ((= (forall @t79 @t78) @t72))) % 0.46/0.63 (step @p96 :rule aci_norm :args ((= @t80 @t78))) % 0.46/0.63 (step @p97 :rule cong :premises (@p96) :args (@t81)) % 0.46/0.63 (step @p98 :rule trans :premises (@p97 @p95)) % 0.46/0.63 (step @p99 :rule cong :premises (@p98) :args (@t82)) % 0.46/0.63 (step @p100 :rule quant-merge-prenex :args ((= @t82 @t83))) % 0.46/0.63 (step @p101 :rule symm :premises (@p100)) % 0.46/0.63 (step @p102 :rule quant_var_reordering :args ((= (forall @t84 @t80) @t83))) % 0.46/0.63 (step @p103 :rule trans :premises (@p102 @p101 @p99)) % 0.46/0.63 (step @p104 :rule trans :premises (@p103 @p94)) % 0.46/0.63 (step @p105 :rule refl :args (@t75)) % 0.46/0.63 (step @p106 :rule refl :args (@t85)) % 0.46/0.63 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t85 @t75))) % 0.46/0.63 (step @p108 :rule symm :premises (@p107)) % 0.46/0.63 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 0.46/0.63 (step @p110 :rule cong :premises (@p109) :args (@t86)) % 0.46/0.63 (step @p111 :rule refl :args (@t77)) % 0.46/0.63 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t87)) % 0.46/0.63 (step @p113 :rule cong :premises (@p112) :args (@t88)) % 0.46/0.63 (step @p114 :rule trans :premises (@p113 @p104)) % 0.46/0.63 (step @p115 :rule nary_cong :premises (@p114 @p86 @p72) :args ((and @t88 @t68 @t58))) % 0.46/0.63 (step @p116 :rule alpha_equiv :args (@t90 @t91 (@list @t44 @t39))) % 0.46/0.63 (step @p117 :rule alpha_equiv :args (@t93 @t91 (@list @t60 @t59))) % 0.46/0.63 (step @p118 :rule alpha_equiv :args (@t95 @t91 (@list @t74 @t69))) % 0.46/0.63 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116) :args (@t96)) % 0.46/0.63 (step @p120 :rule quant-miniscope-and :args ((= (forall @t21 @t97) @t96))) % 0.46/0.63 (step @p121 :rule trans :premises (@p120 @p119)) % 0.46/0.63 (step @p122 :rule trans :premises (@p121 @p115)) % 0.46/0.63 (step @p123 :rule aci_norm :args ((= (and @t94 (and @t92 @t89)) @t97))) % 0.46/0.63 (step @p124 :rule bool-impl-elim :args (@t9 @t8)) % 0.46/0.63 (step @p125 :rule bool-impl-elim :args (@t13 @t12)) % 0.46/0.63 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((and @t14 @t10))) % 0.46/0.63 (step @p127 :rule bool-double-not-elim :args (@t10)) % 0.46/0.63 (step @p128 :rule refl :args (@t14)) % 0.46/0.63 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((and @t14 (not @t11)))) % 0.46/0.63 (step @p130 :rule bool-implies-de-morgan :args (@t14 @t11)) % 0.46/0.63 (step @p131 :rule trans :premises (@p130 @p129)) % 0.46/0.63 (step @p132 :rule trans :premises (@p131 @p126)) % 0.46/0.63 (step @p133 :rule bool-impl-elim :args (@t7 @t17)) % 0.46/0.63 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((and @t18 @t16))) % 0.46/0.63 (step @p135 :rule trans :premises (@p134 @p123)) % 0.46/0.63 (step @p136 :rule bool-implies-de-morgan :args (@t18 @t15)) % 0.46/0.63 (step @p137 :rule trans :premises (@p136 @p135)) % 0.46/0.63 (step @p138 :rule cong :premises (@p137) :args ((forall @t21 (not (=> @t18 @t15))))) % 0.46/0.63 (step @p139 :rule trans :premises (@p138 @p122)) % 0.46/0.63 (step @p140 :rule bool-double-not-elim :args (@t15)) % 0.46/0.63 (step @p141 :rule refl :args (@t18)) % 0.46/0.63 (step @p142 :rule cong :premises (@p141 @p140) :args (@t19)) % 0.46/0.63 (step @p143 :rule cong :premises (@p142) :args (@t20)) % 0.46/0.63 (step @p144 :rule cong :premises (@p143) :args (@t22)) % 0.46/0.63 (step @p145 :rule trans :premises (@p144 @p139)) % 0.46/0.63 (step @p146 :rule eq_resolve :premises (@p3 @p145)) % 0.46/0.63 (step @p147 :rule and_elim :premises (@p146) :args (2)) % 0.46/0.63 (step @p148 :rule instantiate :premises (@p147) :args (@t99)) % 0.46/0.63 (step @p149 :rule false_intro :premises (@p148)) % 0.46/0.63 (step @p150 :rule eq-symm :args (@t100 @t98)) % 0.46/0.63 (step @p151 :rule refl :args (@t98)) % 0.46/0.63 (step @p152 :rule refl :args (@t1)) % 0.46/0.63 (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t1 @t98))) % 0.46/0.63 (step @p154 :rule symm :premises (@p153)) % 0.46/0.63 (step @p155 :rule eq_resolve :premises (@p152 @p154)) % 0.46/0.63 (step @p156 :rule refl :args (@t100)) % 0.46/0.63 (step @p157 :rule refl :args (@t2)) % 0.46/0.63 (step @p158 :rule cong :premises (@p157 @p156) :args ((= @t2 @t100))) % 0.46/0.63 (step @p159 :rule symm :premises (@p158)) % 0.46/0.63 (step @p160 :rule eq_resolve :premises (@p157 @p159)) % 0.46/0.63 (step @p161 :rule cong :premises (@p160 @p155) :args (@t3)) % 0.46/0.63 (step @p162 :rule trans :premises (@p161 @p150)) % 0.46/0.63 (step @p163 :rule eq_resolve :premises (@p1 @p162)) % 0.46/0.63 (step @p164 :rule symm :premises (@p163)) % 0.46/0.63 (step @p165 :rule cong :premises (@p164 @p164) :args ((tptp.less @t100 @t100))) % 0.46/0.63 (step @p166 :rule refl :args (@t100)) % 0.46/0.63 (step @p167 :rule cong :premises (@p163 @p166) :args (@t101)) % 0.46/0.63 (step @p168 :rule trans :premises (@p167 @p165 @p149)) % 0.46/0.63 (step @p169 :rule false_elim :premises (@p168)) % 0.46/0.63 (step @p170 :rule refl :args (@t102)) % 0.46/0.63 (step @p171 :rule refl :args (@t13)) % 0.46/0.63 (step @p172 :rule cong :premises (@p171 @p170) :args ((= @t13 @t102))) % 0.46/0.63 (step @p173 :rule symm :premises (@p172)) % 0.46/0.63 (step @p174 :rule eq_resolve :premises (@p171 @p173)) % 0.46/0.63 (step @p175 :rule refl :args (@t7)) % 0.46/0.63 (step @p176 :rule nary_cong :premises (@p175 @p174 @p36) :args (@t103)) % 0.46/0.63 (step @p177 :rule cong :premises (@p176) :args ((forall @t21 @t103))) % 0.46/0.63 (step @p178 :rule aci_norm :args ((= (or @t7 (or @t13 @t9)) @t103))) % 0.46/0.63 (step @p179 :rule bool-double-not-elim :args (@t13)) % 0.46/0.63 (step @p180 :rule nary_cong :premises (@p179 @p33) :args ((or (not @t17) @t9))) % 0.46/0.63 (step @p181 :rule bool-impl-elim :args (@t17 @t9)) % 0.46/0.63 (step @p182 :rule trans :premises (@p181 @p180)) % 0.46/0.63 (step @p183 :rule nary_cong :premises (@p175 @p182) :args ((or @t7 @t29))) % 0.46/0.63 (step @p184 :rule trans :premises (@p183 @p178)) % 0.46/0.63 (step @p185 :rule refl :args (@t29)) % 0.46/0.63 (step @p186 :rule bool-double-not-elim :args (@t7)) % 0.46/0.63 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or (not @t8) @t29))) % 0.46/0.63 (step @p188 :rule bool-impl-elim :args (@t8 @t29)) % 0.46/0.63 (step @p189 :rule trans :premises (@p188 @p187)) % 0.46/0.63 (step @p190 :rule trans :premises (@p189 @p184)) % 0.46/0.63 (step @p191 :rule cong :premises (@p190) :args (@t30)) % 0.46/0.63 (step @p192 :rule trans :premises (@p191 @p177)) % 0.46/0.63 (step @p193 :rule eq_resolve :premises (@p5 @p192)) % 0.46/0.63 (step @p194 :rule refl :args (@t104)) % 0.46/0.63 (step @p195 :rule refl :args (@t105)) % 0.46/0.63 (step @p196 :rule eq-symm :args (tptp.y tptp.x)) % 0.46/0.63 (step @p197 :rule nary_cong :premises (@p196 @p195 @p194) :args (@t106)) % 0.46/0.63 (step @p198 :rule refl :args (@t107)) % 0.46/0.63 (step @p199 :rule cong :premises (@p198 @p197) :args ((=> @t107 @t106))) % 0.46/0.63 (assume-push @p250 @t107) % 0.46/0.63 (step @p201 :rule instantiate :premises (@p193) :args ((@list tptp.y tptp.x))) % 0.46/0.63 (step-pop @p251 :rule scope :premises (@p201)) % 0.46/0.63 (step @p202 :rule process_scope :premises (@p251) :args (@t106)) % 0.46/0.63 (step @p204 :rule eq_resolve :premises (@p202 @p199)) % 0.46/0.63 (step @p205 :rule implies_elim :premises (@p204)) % 0.46/0.63 (step @p206 :rule chain_m_resolution :premises (@p205 @p193) :args (@t108 (@list false) (@list @t107))) % 0.46/0.63 (step @p207 :rule refl :args ((tptp.more @t25 @t24))) % 0.46/0.63 (step @p208 :rule cong :premises (@p11 @p10) :args (@t109)) % 0.46/0.63 (step @p209 :rule trans :premises (@p208 @p207)) % 0.46/0.63 (step @p210 :rule refl :args (tptp.more)) % 0.46/0.63 (step @p211 :rule ho_cong :premises (@p210 @p11)) % 0.46/0.63 (step @p212 :rule ho_cong :premises (@p211 @p10)) % 0.46/0.63 (step @p213 :rule cong :premises (@p212 @p209) :args ((= (_ (_ tptp.more @t35) @t34) @t109))) % 0.46/0.63 (step @p214 :rule symm :premises (@p213)) % 0.46/0.63 (step @p215 :rule refl :args (@t31)) % 0.46/0.63 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 0.46/0.63 (step @p217 :rule ho_cong :premises (@p210 @p28)) % 0.46/0.63 (step @p218 :rule ho_cong :premises (@p217 @p24)) % 0.46/0.63 (step @p219 :rule trans :premises (@p218 @p216)) % 0.46/0.63 (step @p220 :rule cong :premises (@p174) :args (@t17)) % 0.46/0.63 (step @p221 :rule nary_cong :premises (@p220 @p219) :args (@t110)) % 0.46/0.63 (step @p222 :rule cong :premises (@p221) :args ((forall @t27 @t110))) % 0.46/0.63 (step @p223 :rule bool-impl-elim :args (@t13 @t31)) % 0.46/0.63 (step @p224 :rule cong :premises (@p223) :args (@t32)) % 0.46/0.63 (step @p225 :rule trans :premises (@p224 @p222)) % 0.46/0.63 (step @p226 :rule eq_resolve :premises (@p6 @p225)) % 0.46/0.63 (step @p227 :rule instantiate :premises (@p226) :args (@t111)) % 0.46/0.63 (step @p228 :rule and_elim :premises (@p146) :args (0)) % 0.46/0.63 (step @p229 :rule instantiate :premises (@p228) :args (@t99)) % 0.46/0.63 (step @p230 :rule false_intro :premises (@p229)) % 0.46/0.63 (step @p231 :rule cong :premises (@p164 @p164) :args ((tptp.more @t100 @t100))) % 0.46/0.63 (step @p232 :rule cong :premises (@p163 @p166) :args (@t112)) % 0.46/0.63 (step @p233 :rule trans :premises (@p232 @p231 @p230)) % 0.46/0.63 (step @p234 :rule false_elim :premises (@p233)) % 0.46/0.63 (step @p235 :rule cnf_or_pos :args (@t114)) % 0.46/0.63 (step @p236 :rule reordering :premises (@p235) :args ((or @t113 @t112 (not @t114)))) % 0.46/0.63 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p227) :args (@t113 @t115 (@list @t112 @t114))) % 0.46/0.63 (step @p238 :rule cnf_or_pos :args (@t108)) % 0.46/0.63 (step @p239 :rule reordering :premises (@p238) :args ((or @t33 @t105 @t104 (not @t108)))) % 0.46/0.63 (step @p240 :rule chain_m_resolution :premises (@p239 @p7 @p237 @p206) :args (@t104 (@list true true false) (@list @t33 @t105 @t108))) % 0.46/0.63 (step @p241 :rule cnf_or_pos :args (@t117)) % 0.46/0.63 (step @p242 :rule reordering :premises (@p241) :args ((or @t116 @t101 @t118))) % 0.46/0.63 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p169) :args (@t118 (@list false true) (@list @t104 @t101))) % 0.46/0.63 (assume-push @p252 @t119) % 0.46/0.63 (step @p245 :rule instantiate :premises (@p43) :args (@t111)) % 0.46/0.63 (step-pop @p253 :rule scope :premises (@p245)) % 0.46/0.63 (step @p246 :rule process_scope :premises (@p253) :args (@t117)) % 0.46/0.63 (step @p248 :rule implies_elim :premises (@p246)) % 0.46/0.63 (step @p249 false :rule chain_m_resolution :premises (@p248 @p243 @p43) :args (false @t115 (@list @t117 @t119))) % 0.46/0.63 ) % 0.46/0.63 % SZS output end Proof % 0.46/0.63 % cvc5 exiting %------------------------------------------------------------------------------