%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL734^5 : TPTP v9.3.1. 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 : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:43 AM UTC 2026 % Result : Theorem 49.04s 49.32s % Output : Proof 49.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL734^5 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.34 % Computer : n009.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Sat Sep 5 17:27:06 UTC 2026 % 0.07/0.34 % CPUTime : % 0.13/0.40 %----Proving TH0 % 49.04/49.32 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 49.04/49.32 % SZS status Theorem % 49.04/49.32 % SZS output start Proof % 49.04/49.32 ( % 49.04/49.32 (declare-sort tptp.b 0) % 49.04/49.32 (define @t1 () (@var "Xp" (-> tptp.b Bool))) % 49.04/49.32 (define @t2 () (@var "Xj" (-> (-> tptp.b Bool) tptp.b))) % 49.04/49.32 (define @t3 () (_ @t2 @t1)) % 49.04/49.32 (define @t4 () (_ @t1 @t3)) % 49.04/49.32 (define @t5 () (@var "Xz" tptp.b)) % 49.04/49.32 (define @t6 () (_ @t1 @t5)) % 49.04/49.32 (define @t7 () (@list @t5)) % 49.04/49.32 (define @t8 () (exists @t7 @t6)) % 49.04/49.32 (define @t9 () (=> @t8 @t4)) % 49.04/49.32 (define @t10 () (@list @t1)) % 49.04/49.32 (define @t11 () (forall @t10 @t9)) % 49.04/49.32 (define @t12 () (@list @t2)) % 49.04/49.32 (define @t13 () (exists @t12 @t11)) % 49.04/49.32 (define @t14 () (@var "Xx" (-> tptp.b Bool))) % 49.04/49.32 (define @t15 () (@var "Xf" (-> (-> tptp.b Bool) tptp.b))) % 49.04/49.32 (define @t16 () (_ @t15 @t14)) % 49.04/49.32 (define @t17 () (@var "Xr_4" (-> (-> tptp.b Bool) tptp.b Bool))) % 49.04/49.32 (define @t18 () (_ @t17 @t14)) % 49.04/49.32 (define @t19 () (_ @t18 @t16)) % 49.04/49.32 (define @t20 () (@var "Xr_3" (-> (-> tptp.b Bool) tptp.b Bool))) % 49.04/49.32 (define @t21 () (_ @t20 @t14)) % 49.04/49.32 (define @t22 () (_ @t21 @t16)) % 49.04/49.32 (define @t23 () (or @t22 @t19)) % 49.04/49.32 (define @t24 () (@list @t14)) % 49.04/49.32 (define @t25 () (forall @t24 @t23)) % 49.04/49.32 (define @t26 () (@list @t15)) % 49.04/49.32 (define @t27 () (exists @t26 @t25)) % 49.04/49.32 (define @t28 () (@var "Xy" tptp.b)) % 49.04/49.32 (define @t29 () (_ @t18 @t28)) % 49.04/49.32 (define @t30 () (_ @t21 @t28)) % 49.04/49.32 (define @t31 () (or @t30 @t29)) % 49.04/49.32 (define @t32 () (@list @t28)) % 49.04/49.32 (define @t33 () (exists @t32 @t31)) % 49.04/49.32 (define @t34 () (forall @t24 @t33)) % 49.04/49.32 (define @t35 () (=> @t34 @t27)) % 49.04/49.32 (define @t36 () (@list @t20 @t17)) % 49.04/49.32 (define @t37 () (forall @t36 @t35)) % 49.04/49.32 (define @t38 () (=> @t37 @t13)) % 49.04/49.32 (define @t39 () (not @t38)) % 49.04/49.32 (define @t40 () (_ @t2 @t1)) % 49.04/49.32 (define @t41 () (_ @t1 @t40)) % 49.04/49.32 (define @t42 () (@var "BOUND_VARIABLE_7514" tptp.b)) % 49.04/49.32 (define @t43 () (not (_ @t1 @t42))) % 49.04/49.32 (define @t44 () (or @t43 @t41)) % 49.04/49.32 (define @t45 () (@list @t1 @t42)) % 49.04/49.32 (define @t46 () (forall @t45 @t44)) % 49.04/49.32 (define @t47 () (forall @t12 (not @t46))) % 49.04/49.32 (define @t48 () (@list @t42)) % 49.04/49.32 (define @t49 () (forall @t48 @t44)) % 49.04/49.32 (define @t50 () (forall @t48 @t43)) % 49.04/49.32 (define @t51 () (or @t50 @t41)) % 49.04/49.32 (define @t52 () (_ @t1 @t5)) % 49.04/49.32 (define @t53 () (forall @t7 (not @t52))) % 49.04/49.32 (define @t54 () (or @t53 @t4)) % 49.04/49.32 (define @t55 () (not @t53)) % 49.04/49.32 (define @t56 () (not @t6)) % 49.04/49.32 (define @t57 () (forall @t7 @t56)) % 49.04/49.32 (define @t58 () (not @t57)) % 49.04/49.32 (define @t59 () (@var "BOUND_VARIABLE_7462" tptp.b)) % 49.04/49.32 (define @t60 () (_ @t17 @t14 @t59)) % 49.04/49.32 (define @t61 () (@list @t59)) % 49.04/49.32 (define @t62 () (forall @t61 (not @t60))) % 49.04/49.32 (define @t63 () (@var "BOUND_VARIABLE_7456" tptp.b)) % 49.04/49.32 (define @t64 () (_ @t20 @t14 @t63)) % 49.04/49.32 (define @t65 () (@list @t63)) % 49.04/49.32 (define @t66 () (forall @t65 (not @t64))) % 49.04/49.32 (define @t67 () (forall @t24 (or (not @t66) (not @t62)))) % 49.04/49.32 (define @t68 () (_ @t15 @t14)) % 49.04/49.32 (define @t69 () (_ @t17 @t14 @t68)) % 49.04/49.32 (define @t70 () (_ @t20 @t14 @t68)) % 49.04/49.32 (define @t71 () (forall @t24 (or @t70 @t69))) % 49.04/49.32 (define @t72 () (not (forall @t26 (not @t71)))) % 49.04/49.32 (define @t73 () (_ @t18 @t59)) % 49.04/49.32 (define @t74 () (not @t73)) % 49.04/49.32 (define @t75 () (forall @t61 @t74)) % 49.04/49.32 (define @t76 () (_ @t21 @t63)) % 49.04/49.32 (define @t77 () (not @t76)) % 49.04/49.32 (define @t78 () (forall @t65 @t77)) % 49.04/49.32 (define @t79 () (not @t29)) % 49.04/49.32 (define @t80 () (forall @t32 @t79)) % 49.04/49.32 (define @t81 () (@list @t28)) % 49.04/49.32 (define @t82 () (not @t30)) % 49.04/49.32 (define @t83 () (forall @t32 @t82)) % 49.04/49.32 (define @t84 () (and @t83 @t80)) % 49.04/49.32 (define @t85 () (forall @t32 (not @t31))) % 49.04/49.32 (define @t86 () (not @t85)) % 49.04/49.32 (define @t87 () (@const 0 (-> (-> tptp.b Bool) tptp.b))) % 49.04/49.32 (define @t88 () (_ @t87 @t1)) % 49.04/49.32 (define @t89 () (@var "BOUND_VARIABLE_982382" (-> tptp.b Bool))) % 49.04/49.32 (define @t90 () (_ @t87 @t89)) % 49.04/49.32 (define @t91 () (@list @t89)) % 49.04/49.32 (define @t92 () (lambda @t91 @t90)) % 49.04/49.32 (define @t93 () (_ @t92 @t1)) % 49.04/49.32 (define @t94 () (_ @t1 @t93)) % 49.04/49.32 (define @t95 () (or @t43 @t94)) % 49.04/49.32 (define @t96 () (forall @t45 @t95)) % 49.04/49.32 (define @t97 () (not @t96)) % 49.04/49.32 (define @t98 () (forall @t45 (or @t43 (_ @t1 @t88)))) % 49.04/49.32 (define @t99 () (@quantifiers_skolemize @t98 1)) % 49.04/49.32 (define @t100 () (@quantifiers_skolemize @t98 0)) % 49.04/49.32 (define @t101 () (_ @t100 @t99)) % 49.04/49.32 (define @t102 () (_ @t100 (_ @t87 @t100))) % 49.04/49.32 (define @t103 () (not @t101)) % 49.04/49.32 (define @t104 () (or @t103 @t102)) % 49.04/49.32 (define @t105 () (@list true)) % 49.04/49.32 (define @t106 () (@list @t104)) % 49.04/49.32 (define @t107 () (@var "x" tptp.b)) % 49.04/49.32 (define @t108 () (@list @t107)) % 49.04/49.32 (define @t109 () (forall @t108 (not (_ @t100 @t107)))) % 49.04/49.32 (define @t110 () (or @t109 @t102)) % 49.04/49.32 (assume @p1 @t39) % 49.04/49.32 (assume @p2 true) % 49.04/49.32 (step @p3 :rule exists-elim :args ((= (exists @t12 @t46) (not @t47)))) % 49.04/49.32 (step @p4 :rule quant-merge-prenex :args ((= (forall @t10 @t49) @t46))) % 49.04/49.32 (step @p5 :rule refl :args (@t41)) % 49.04/49.32 (step @p6 :rule alpha_equiv :args (@t50 (@list @t42) (@list @t5))) % 49.04/49.32 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t51)) % 49.04/49.32 (step @p8 :rule quant-miniscope-or :args ((= @t49 @t51))) % 49.04/49.32 (step @p9 :rule trans :premises (@p8 @p7)) % 49.04/49.32 (step @p10 :rule symm :premises (@p9)) % 49.04/49.32 (step @p11 :rule cong :premises (@p10) :args ((forall @t10 (or @t53 @t41)))) % 49.04/49.32 (step @p12 :rule trans :premises (@p11 @p4)) % 49.04/49.32 (step @p13 :rule refl :args ((_ @t1 @t3))) % 49.04/49.32 (step @p14 :rule refl :args (@t40)) % 49.04/49.32 (step @p15 :rule cong :premises (@p14) :args (@t41)) % 49.04/49.32 (step @p16 :rule trans :premises (@p15 @p13)) % 49.04/49.32 (step @p17 :rule refl :args (@t1)) % 49.04/49.32 (step @p18 :rule ho_cong :premises (@p17 @p14)) % 49.04/49.32 (step @p19 :rule cong :premises (@p18 @p16) :args ((= (_ @t1 @t40) @t41))) % 49.04/49.32 (step @p20 :rule symm :premises (@p19)) % 49.04/49.32 (step @p21 :rule refl :args (@t4)) % 49.04/49.32 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 49.04/49.32 (step @p23 :rule refl :args (@t3)) % 49.04/49.32 (step @p24 :rule cong :premises (@p23 @p14) :args ((= @t3 @t40))) % 49.04/49.32 (step @p25 :rule symm :premises (@p24)) % 49.04/49.32 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 49.04/49.32 (step @p27 :rule ho_cong :premises (@p17 @p26)) % 49.04/49.32 (step @p28 :rule trans :premises (@p27 @p22)) % 49.04/49.32 (step @p29 :rule refl :args (@t53)) % 49.04/49.32 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t54)) % 49.04/49.32 (step @p31 :rule cong :premises (@p30) :args ((forall @t10 @t54))) % 49.04/49.32 (step @p32 :rule trans :premises (@p31 @p12)) % 49.04/49.32 (step @p33 :rule bool-double-not-elim :args (@t53)) % 49.04/49.32 (step @p34 :rule nary_cong :premises (@p33 @p21) :args ((or (not @t55) @t4))) % 49.04/49.32 (step @p35 :rule bool-impl-elim :args (@t55 @t4)) % 49.04/49.32 (step @p36 :rule trans :premises (@p35 @p34)) % 49.04/49.32 (step @p37 :rule cong :premises (@p36) :args ((forall @t10 (=> @t55 @t4)))) % 49.04/49.32 (step @p38 :rule trans :premises (@p37 @p32)) % 49.04/49.32 (step @p39 :rule refl :args (@t4)) % 49.04/49.32 (step @p40 :rule refl :args (@t52)) % 49.04/49.32 (step @p41 :rule refl :args (@t6)) % 49.04/49.32 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t6 @t52))) % 49.04/49.32 (step @p43 :rule symm :premises (@p42)) % 49.04/49.32 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 49.04/49.32 (step @p45 :rule cong :premises (@p44) :args (@t56)) % 49.04/49.32 (step @p46 :rule cong :premises (@p45) :args (@t57)) % 49.04/49.32 (step @p47 :rule cong :premises (@p46) :args (@t58)) % 49.04/49.32 (step @p48 :rule exists-elim :args ((= @t8 @t58))) % 49.04/49.32 (step @p49 :rule trans :premises (@p48 @p47)) % 49.04/49.32 (step @p50 :rule cong :premises (@p49 @p39) :args (@t9)) % 49.04/49.32 (step @p51 :rule cong :premises (@p50) :args (@t11)) % 49.04/49.32 (step @p52 :rule trans :premises (@p51 @p38)) % 49.04/49.32 (step @p53 :rule cong :premises (@p52) :args (@t13)) % 49.04/49.32 (step @p54 :rule trans :premises (@p53 @p3)) % 49.04/49.32 (step @p55 :rule bool-impl-elim :args (@t67 @t72)) % 49.04/49.32 (step @p56 :rule cong :premises (@p55) :args ((forall @t36 (=> @t67 @t72)))) % 49.04/49.32 (step @p57 :rule exists-elim :args ((= (exists @t26 @t71) @t72))) % 49.04/49.32 (step @p58 :rule refl :args ((_ @t17 @t14 @t16))) % 49.04/49.32 (step @p59 :rule refl :args (@t68)) % 49.04/49.32 (step @p60 :rule refl :args (@t14)) % 49.04/49.32 (step @p61 :rule cong :premises (@p60 @p59) :args (@t69)) % 49.04/49.32 (step @p62 :rule trans :premises (@p61 @p58)) % 49.04/49.32 (step @p63 :rule refl :args (@t18)) % 49.04/49.32 (step @p64 :rule ho_cong :premises (@p63 @p59)) % 49.04/49.32 (step @p65 :rule cong :premises (@p64 @p62) :args ((= (_ @t18 @t68) @t69))) % 49.04/49.32 (step @p66 :rule symm :premises (@p65)) % 49.04/49.32 (step @p67 :rule refl :args (@t19)) % 49.04/49.32 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 49.04/49.32 (step @p69 :rule refl :args (@t16)) % 49.04/49.32 (step @p70 :rule cong :premises (@p69 @p59) :args ((= @t16 @t68))) % 49.04/49.32 (step @p71 :rule symm :premises (@p70)) % 49.04/49.32 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 49.04/49.32 (step @p73 :rule ho_cong :premises (@p63 @p72)) % 49.04/49.32 (step @p74 :rule trans :premises (@p73 @p68)) % 49.04/49.32 (step @p75 :rule refl :args ((_ @t20 @t14 @t16))) % 49.04/49.32 (step @p76 :rule cong :premises (@p60 @p59) :args (@t70)) % 49.04/49.32 (step @p77 :rule trans :premises (@p76 @p75)) % 49.04/49.32 (step @p78 :rule refl :args (@t21)) % 49.04/49.32 (step @p79 :rule ho_cong :premises (@p78 @p59)) % 49.04/49.32 (step @p80 :rule cong :premises (@p79 @p77) :args ((= (_ @t21 @t68) @t70))) % 49.04/49.32 (step @p81 :rule symm :premises (@p80)) % 49.04/49.32 (step @p82 :rule refl :args (@t22)) % 49.04/49.32 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 49.04/49.32 (step @p84 :rule ho_cong :premises (@p78 @p72)) % 49.04/49.32 (step @p85 :rule trans :premises (@p84 @p83)) % 49.04/49.32 (step @p86 :rule nary_cong :premises (@p85 @p74) :args (@t23)) % 49.04/49.32 (step @p87 :rule cong :premises (@p86) :args (@t25)) % 49.04/49.32 (step @p88 :rule cong :premises (@p87) :args (@t27)) % 49.04/49.32 (step @p89 :rule trans :premises (@p88 @p57)) % 49.04/49.32 (step @p90 :rule bool-and-de-morgan :args (@t66 @t62 true)) % 49.04/49.32 (step @p91 :rule cong :premises (@p90) :args ((forall @t24 (not (and @t66 @t62))))) % 49.04/49.32 (step @p92 :rule refl :args (@t60)) % 49.04/49.32 (step @p93 :rule refl :args (@t73)) % 49.04/49.32 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t73 @t60))) % 49.04/49.32 (step @p95 :rule symm :premises (@p94)) % 49.04/49.32 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 49.04/49.32 (step @p97 :rule cong :premises (@p96) :args (@t74)) % 49.04/49.32 (step @p98 :rule cong :premises (@p97) :args (@t75)) % 49.04/49.32 (step @p99 :rule refl :args (@t64)) % 49.04/49.32 (step @p100 :rule refl :args (@t76)) % 49.04/49.32 (step @p101 :rule cong :premises (@p100 @p99) :args ((= @t76 @t64))) % 49.04/49.32 (step @p102 :rule symm :premises (@p101)) % 49.04/49.32 (step @p103 :rule eq_resolve :premises (@p100 @p102)) % 49.04/49.32 (step @p104 :rule cong :premises (@p103) :args (@t77)) % 49.04/49.32 (step @p105 :rule cong :premises (@p104) :args (@t78)) % 49.04/49.32 (step @p106 :rule nary_cong :premises (@p105 @p98) :args ((and @t78 @t75))) % 49.04/49.32 (step @p107 :rule alpha_equiv :args (@t80 @t81 (@list @t59))) % 49.04/49.32 (step @p108 :rule alpha_equiv :args (@t83 @t81 (@list @t63))) % 49.04/49.32 (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t84)) % 49.04/49.32 (step @p110 :rule quant-miniscope-and :args ((= (forall @t32 (and @t82 @t79)) @t84))) % 49.04/49.32 (step @p111 :rule trans :premises (@p110 @p109)) % 49.04/49.32 (step @p112 :rule trans :premises (@p111 @p106)) % 49.04/49.32 (step @p113 :rule bool-or-de-morgan :args (@t30 @t29 false)) % 49.04/49.32 (step @p114 :rule cong :premises (@p113) :args (@t85)) % 49.04/49.32 (step @p115 :rule trans :premises (@p114 @p112)) % 49.04/49.32 (step @p116 :rule cong :premises (@p115) :args (@t86)) % 49.04/49.32 (step @p117 :rule exists-elim :args ((= @t33 @t86))) % 49.04/49.32 (step @p118 :rule trans :premises (@p117 @p116)) % 49.04/49.32 (step @p119 :rule cong :premises (@p118) :args (@t34)) % 49.04/49.32 (step @p120 :rule trans :premises (@p119 @p91)) % 49.04/49.32 (step @p121 :rule cong :premises (@p120 @p89) :args (@t35)) % 49.04/49.32 (step @p122 :rule cong :premises (@p121) :args (@t37)) % 49.04/49.32 (step @p123 :rule trans :premises (@p122 @p56)) % 49.04/49.32 (step @p124 :rule cong :premises (@p123 @p54) :args (@t38)) % 49.04/49.32 (step @p125 :rule cong :premises (@p124) :args (@t39)) % 49.04/49.32 (step @p126 :rule eq_resolve :premises (@p1 @p125)) % 49.04/49.32 (step @p127 :rule not_implies_elim2 :premises (@p126)) % 49.04/49.32 (step @p128 :rule not_not_elim :premises (@p127)) % 49.04/49.32 (step @p129 :rule beta-reduce :args ((= @t93 @t88))) % 49.04/49.32 (step @p130 :rule cong :premises (@p129) :args (@t94)) % 49.04/49.32 (step @p131 :rule refl :args (@t43)) % 49.04/49.32 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t95)) % 49.04/49.32 (step @p133 :rule cong :premises (@p132) :args (@t96)) % 49.04/49.32 (step @p134 :rule cong :premises (@p133) :args (@t97)) % 49.04/49.32 (step @p135 :rule refl :args (@t47)) % 49.04/49.32 (step @p136 :rule cong :premises (@p135 @p134) :args ((=> @t47 @t97))) % 49.04/49.32 (assume-push @p166 @t47) % 49.04/49.32 (step @p138 :rule instantiate :premises (@p128) :args ((@list @t92))) % 49.04/49.32 (step-pop @p167 :rule scope :premises (@p138)) % 49.04/49.32 (step @p139 :rule process_scope :premises (@p167) :args (@t97)) % 49.04/49.32 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 49.04/49.32 (step @p142 :rule implies_elim :premises (@p141)) % 49.04/49.32 (step @p143 :rule chain_m_resolution :premises (@p142 @p128) :args ((not @t98) (@list false) (@list @t47))) % 49.04/49.32 (step @p144 :rule skolemize :premises (@p143)) % 49.04/49.32 (step @p145 :rule bool-double-not-elim :args (@t101)) % 49.04/49.32 (step @p146 :rule refl :args (@t104)) % 49.04/49.32 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t104 (not @t103)))) % 49.04/49.32 (step @p148 :rule cnf_or_neg :args (@t104 0)) % 49.04/49.32 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 49.04/49.32 (step @p150 :rule reordering :premises (@p149) :args ((or @t101 @t104))) % 49.04/49.32 (step @p151 :rule chain_m_resolution :premises (@p150 @p144) :args (@t101 @t105 @t106)) % 49.04/49.32 ; WARNING: add trust step for TRUST % 49.04/49.32 ; trust TRUST THEORY_LEMMA % 49.04/49.32 (step @p152 :rule trust :premises () :args ((forall @t91 (or (forall @t108 (not (_ @t89 @t107))) (_ @t89 @t90))))) % 49.04/49.32 (step @p153 :rule instantiate :premises (@p152) :args ((@list @t100))) % 49.04/49.33 (step @p154 :rule cnf_or_neg :args (@t104 1)) % 49.04/49.33 (step @p155 :rule chain_m_resolution :premises (@p154 @p144) :args ((not @t102) @t105 @t106)) % 49.04/49.33 (step @p156 :rule cnf_or_pos :args (@t110)) % 49.04/49.33 (step @p157 :rule reordering :premises (@p156) :args ((or @t102 @t109 (not @t110)))) % 49.04/49.33 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p153) :args (@t109 (@list true false) (@list @t102 @t110))) % 49.04/49.33 (assume-push @p168 @t109) % 49.04/49.33 (step @p160 :rule instantiate :premises (@p158) :args ((@list @t99))) % 49.04/49.33 (step-pop @p169 :rule scope :premises (@p160)) % 49.04/49.33 (step @p161 :rule process_scope :premises (@p169) :args (@t103)) % 49.04/49.33 (step @p163 :rule implies_elim :premises (@p161)) % 49.04/49.33 (step @p164 :rule reordering :premises (@p163) :args ((or @t103 (not @t109)))) % 49.04/49.33 (step @p165 false :rule chain_m_resolution :premises (@p164 @p158 @p151) :args (false (@list false false) (@list @t109 @t101))) % 49.04/49.33 ) % 49.04/49.33 % SZS output end Proof % 49.04/49.33 % cvc5 exiting %------------------------------------------------------------------------------