%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN354+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:08:40 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN354+1 : TPTP v9.2.1. Released v2.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:24:31 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.big_g (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "Y2" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "Y1" $$unsorted)) % 0.38/0.58 (define @t3 () (tptp.big_f @t2 @t1)) % 0.38/0.58 (define @t4 () (@var "X2" $$unsorted)) % 0.38/0.58 (define @t5 () (tptp.big_f @t4 @t2)) % 0.38/0.58 (define @t6 () (@var "X1" $$unsorted)) % 0.38/0.58 (define @t7 () (tptp.big_f @t6 @t2)) % 0.38/0.58 (define @t8 () (and @t7 @t5 @t3)) % 0.38/0.58 (define @t9 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t10 () (tptp.big_g @t2 @t9)) % 0.38/0.58 (define @t11 () (tptp.big_g @t4 @t9)) % 0.38/0.58 (define @t12 () (= @t11 @t10)) % 0.38/0.58 (define @t13 () (=> @t12 @t8)) % 0.38/0.58 (define @t14 () (tptp.big_f @t4 @t1)) % 0.38/0.58 (define @t15 () (=> @t3 @t14)) % 0.38/0.58 (define @t16 () (= @t11 (tptp.big_g @t1 @t9))) % 0.38/0.58 (define @t17 () (=> @t16 @t15)) % 0.38/0.58 (define @t18 () (=> @t17 @t13)) % 0.38/0.58 (define @t19 () (tptp.big_g @t6 @t4)) % 0.38/0.58 (define @t20 () (=> @t19 @t18)) % 0.38/0.58 (define @t21 () (tptp.big_f @t6 @t4)) % 0.38/0.58 (define @t22 () (@list @t9)) % 0.38/0.58 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.38/0.58 (define @t24 () (@list @t2 @t1)) % 0.38/0.58 (define @t25 () (exists @t24 @t23)) % 0.38/0.58 (define @t26 () (@list @t6 @t4)) % 0.38/0.58 (define @t27 () (forall @t26 @t25)) % 0.38/0.58 (define @t28 () (not @t27)) % 0.38/0.58 (define @t29 () (@var "BOUND_VARIABLE_7487" $$unsorted)) % 0.38/0.58 (define @t30 () (tptp.big_g @t29 @t9)) % 0.38/0.58 (define @t31 () (not @t11)) % 0.38/0.58 (define @t32 () (@var "BOUND_VARIABLE_7489" $$unsorted)) % 0.38/0.58 (define @t33 () (tptp.big_f @t29 @t32)) % 0.38/0.58 (define @t34 () (tptp.big_g @t32 @t9)) % 0.38/0.58 (define @t35 () (and (= @t11 @t34) @t33 (not (tptp.big_f @t4 @t32)))) % 0.38/0.58 (define @t36 () (@list @t29 @t32)) % 0.38/0.58 (define @t37 () (forall @t36 (not (forall @t22 (or @t35 (= @t31 @t30)))))) % 0.38/0.58 (define @t38 () (not @t37)) % 0.38/0.58 (define @t39 () (@var "BOUND_VARIABLE_7475" $$unsorted)) % 0.38/0.58 (define @t40 () (@var "BOUND_VARIABLE_7473" $$unsorted)) % 0.38/0.58 (define @t41 () (not (tptp.big_f @t40 @t39))) % 0.38/0.58 (define @t42 () (@list @t40 @t39)) % 0.38/0.58 (define @t43 () (forall @t42 (or (not (tptp.big_f @t6 @t40)) (not (tptp.big_f @t4 @t40)) @t41))) % 0.38/0.58 (define @t44 () (not @t43)) % 0.38/0.58 (define @t45 () (not @t19)) % 0.38/0.58 (define @t46 () (not @t21)) % 0.38/0.58 (define @t47 () (or @t46 @t45 @t44 @t38)) % 0.38/0.58 (define @t48 () (or @t35 (= @t30 @t31))) % 0.38/0.58 (define @t49 () (forall @t22 @t48)) % 0.38/0.58 (define @t50 () (not @t49)) % 0.38/0.58 (define @t51 () (forall @t36 @t50)) % 0.38/0.58 (define @t52 () (= @t10 @t31)) % 0.38/0.58 (define @t53 () (not @t14)) % 0.38/0.58 (define @t54 () (and @t16 @t3 @t53)) % 0.38/0.58 (define @t55 () (or @t54 @t52)) % 0.38/0.58 (define @t56 () (forall @t22 @t55)) % 0.38/0.58 (define @t57 () (not @t56)) % 0.38/0.58 (define @t58 () (forall @t24 @t57)) % 0.38/0.58 (define @t59 () (@list @t2 @t1)) % 0.38/0.58 (define @t60 () (not @t3)) % 0.38/0.58 (define @t61 () (not @t5)) % 0.38/0.58 (define @t62 () (not @t7)) % 0.38/0.58 (define @t63 () (or @t62 @t61 @t60)) % 0.38/0.58 (define @t64 () (forall @t24 @t63)) % 0.38/0.58 (define @t65 () (forall @t24 @t19)) % 0.38/0.58 (define @t66 () (forall @t24 @t21)) % 0.38/0.58 (define @t67 () (and @t66 @t65 @t64 @t58)) % 0.38/0.58 (define @t68 () (not @t8)) % 0.38/0.58 (define @t69 () (not @t45)) % 0.38/0.58 (define @t70 () (not @t46)) % 0.38/0.58 (define @t71 () (and @t70 @t69 @t68 @t57)) % 0.38/0.58 (define @t72 () (or @t46 @t45 @t8 @t56)) % 0.38/0.58 (define @t73 () (forall @t24 (not @t72))) % 0.38/0.58 (define @t74 () (not @t73)) % 0.38/0.58 (define @t75 () (or @t46 @t45 @t8 @t55)) % 0.38/0.58 (define @t76 () (or @t46 @t45 @t54 @t52 @t8)) % 0.38/0.58 (define @t77 () (= @t31 @t10)) % 0.38/0.58 (define @t78 () (or @t46 @t45 @t54 @t77 @t8)) % 0.38/0.58 (define @t79 () (or @t45 @t54 @t77 @t8)) % 0.38/0.58 (define @t80 () (or @t54 @t77 @t8)) % 0.38/0.58 (define @t81 () (forall @t26 @t47)) % 0.38/0.58 (define @t82 () (@quantifiers_skolemize @t81 1)) % 0.38/0.58 (define @t83 () (tptp.big_g @t82 @t9)) % 0.38/0.58 (define @t84 () (not @t83)) % 0.38/0.58 (define @t85 () (not (tptp.big_f @t82 @t32))) % 0.38/0.58 (define @t86 () (forall @t36 (not (forall @t22 (or (and (= @t34 @t83) @t33 @t85) (= @t30 @t84)))))) % 0.38/0.58 (define @t87 () (not @t86)) % 0.38/0.58 (define @t88 () (@quantifiers_skolemize @t81 0)) % 0.38/0.58 (define @t89 () (forall @t42 (or (not (tptp.big_f @t88 @t40)) (not (tptp.big_f @t82 @t40)) @t41))) % 0.38/0.58 (define @t90 () (not @t89)) % 0.38/0.58 (define @t91 () (not (tptp.big_g @t88 @t82))) % 0.38/0.58 (define @t92 () (tptp.big_f @t88 @t82)) % 0.38/0.58 (define @t93 () (not @t92)) % 0.38/0.58 (define @t94 () (or @t93 @t91 @t90 @t87)) % 0.38/0.58 (define @t95 () (not @t94)) % 0.38/0.58 (define @t96 () (not @t81)) % 0.38/0.58 (define @t97 () (and (= @t83 @t34) @t33 @t85)) % 0.38/0.58 (define @t98 () (or @t97 (= @t84 @t30))) % 0.38/0.58 (define @t99 () (forall @t22 @t98)) % 0.38/0.58 (define @t100 () (not @t99)) % 0.38/0.58 (define @t101 () (forall @t36 @t100)) % 0.38/0.58 (define @t102 () (not @t101)) % 0.38/0.58 (define @t103 () (or @t93 @t91 @t90 @t102)) % 0.38/0.58 (define @t104 () (not @t103)) % 0.38/0.58 (define @t105 () (@list true)) % 0.38/0.58 (define @t106 () (@list @t94)) % 0.38/0.58 (define @t107 () (tptp.big_g @t88 @t9)) % 0.38/0.58 (define @t108 () (= @t84 @t107)) % 0.38/0.58 (define @t109 () (tptp.big_f @t82 @t82)) % 0.38/0.58 (define @t110 () (not @t109)) % 0.38/0.58 (define @t111 () (and @t92 @t110)) % 0.38/0.58 (define @t112 () (or @t111 (forall @t22 @t108))) % 0.38/0.58 (define @t113 () (and (= @t83 @t83) @t92 @t110)) % 0.38/0.58 (define @t114 () (or @t113 (= @t107 @t84))) % 0.38/0.58 (define @t115 () (forall @t22 @t114)) % 0.38/0.58 (define @t116 () (not @t115)) % 0.38/0.58 (define @t117 () (or @t93 @t110 @t110)) % 0.38/0.58 (define @t118 () (not @t117)) % 0.38/0.58 (assume @p1 @t28) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule aci_norm :args ((= (or @t46 (or @t45 (or @t44 @t38))) @t47))) % 0.38/0.58 (step @p4 :rule bool-and-de-morgan :args (@t43 @t37 true)) % 0.38/0.58 (step @p5 :rule refl :args (@t45)) % 0.38/0.58 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or @t45 (not (and @t43 @t37))))) % 0.38/0.58 (step @p7 :rule bool-and-de-morgan :args (@t19 @t43 (and @t37))) % 0.38/0.58 (step @p8 :rule trans :premises (@p7 @p6)) % 0.38/0.58 (step @p9 :rule refl :args (@t46)) % 0.38/0.58 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((or @t46 (not (and @t19 @t43 @t37))))) % 0.38/0.58 (step @p11 :rule bool-and-de-morgan :args (@t21 @t19 (and @t43 @t37))) % 0.38/0.58 (step @p12 :rule trans :premises (@p11 @p10)) % 0.38/0.58 (step @p13 :rule trans :premises (@p12 @p3)) % 0.38/0.58 (step @p14 :rule cong :premises (@p13) :args ((forall @t26 (not (and @t21 @t19 @t43 @t37))))) % 0.38/0.58 (step @p15 :rule eq-symm :args (@t30 @t31)) % 0.38/0.58 (step @p16 :rule refl :args (@t35)) % 0.38/0.58 (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t48)) % 0.38/0.58 (step @p18 :rule cong :premises (@p17) :args (@t49)) % 0.38/0.58 (step @p19 :rule cong :premises (@p18) :args (@t50)) % 0.38/0.58 (step @p20 :rule cong :premises (@p19) :args (@t51)) % 0.38/0.58 (step @p21 :rule refl :args (@t43)) % 0.38/0.58 (step @p22 :rule refl :args (@t19)) % 0.38/0.58 (step @p23 :rule refl :args (@t21)) % 0.38/0.58 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21 @p20) :args ((and @t21 @t19 @t43 @t51))) % 0.38/0.58 (step @p25 :rule alpha_equiv :args (@t58 @t59 (@list @t29 @t32))) % 0.38/0.58 (step @p26 :rule alpha_equiv :args (@t64 @t59 (@list @t40 @t39))) % 0.38/0.58 (step @p27 :rule quant-unused-vars :args ((= @t65 @t19))) % 0.38/0.58 (step @p28 :rule quant-unused-vars :args ((= @t66 @t21))) % 0.38/0.58 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26 @p25) :args (@t67)) % 0.38/0.58 (step @p30 :rule quant-miniscope-and :args ((= (forall @t24 (and @t21 @t19 @t63 @t57)) @t67))) % 0.38/0.58 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.58 (step @p32 :rule trans :premises (@p31 @p24)) % 0.38/0.58 (step @p33 :rule refl :args (@t57)) % 0.38/0.58 (step @p34 :rule aci_norm :args ((= (or @t62 (or @t61 @t60)) @t63))) % 0.38/0.58 (step @p35 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.38/0.58 (step @p36 :rule refl :args (@t62)) % 0.38/0.58 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t62 (not (and @t5 @t3))))) % 0.38/0.58 (step @p38 :rule bool-and-de-morgan :args (@t7 @t5 (and @t3))) % 0.38/0.58 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.58 (step @p40 :rule trans :premises (@p39 @p34)) % 0.38/0.58 (step @p41 :rule refl :args (@t19)) % 0.38/0.58 (step @p42 :rule refl :args (@t21)) % 0.38/0.58 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p33) :args ((and @t21 @t19 @t68 @t57))) % 0.38/0.58 (step @p44 :rule refl :args (@t68)) % 0.38/0.58 (step @p45 :rule bool-double-not-elim :args (@t19)) % 0.38/0.58 (step @p46 :rule bool-double-not-elim :args (@t21)) % 0.38/0.58 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44 @p33) :args (@t71)) % 0.38/0.58 (step @p48 :rule aci_norm :args ((= (and @t70 (and @t69 (and @t68 @t57))) @t71))) % 0.38/0.58 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.58 (step @p50 :rule bool-or-de-morgan :args (@t8 @t56 false)) % 0.38/0.58 (step @p51 :rule refl :args (@t69)) % 0.38/0.58 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((and @t69 (not (or @t8 @t56))))) % 0.38/0.58 (step @p53 :rule bool-or-de-morgan :args (@t45 @t8 (or @t56))) % 0.38/0.58 (step @p54 :rule trans :premises (@p53 @p52)) % 0.38/0.58 (step @p55 :rule refl :args (@t70)) % 0.38/0.58 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((and @t70 (not (or @t45 @t8 @t56))))) % 0.38/0.58 (step @p57 :rule bool-or-de-morgan :args (@t46 @t45 (or @t8 @t56))) % 0.38/0.58 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.58 (step @p59 :rule trans :premises (@p58 @p49)) % 0.38/0.58 (step @p60 :rule trans :premises (@p59 @p43)) % 0.38/0.58 (step @p61 :rule cong :premises (@p60) :args (@t73)) % 0.38/0.58 (step @p62 :rule trans :premises (@p61 @p32)) % 0.38/0.58 (step @p63 :rule cong :premises (@p62) :args (@t74)) % 0.38/0.58 (step @p64 :rule exists-elim :args ((= (exists @t24 @t72) @t74))) % 0.38/0.58 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.58 (step @p66 :rule quant-miniscope-or :args ((= (forall @t22 @t75) @t72))) % 0.38/0.58 (step @p67 :rule aci_norm :args ((= @t76 @t75))) % 0.38/0.58 (step @p68 :rule cong :premises (@p67) :args ((forall @t22 @t76))) % 0.38/0.58 (step @p69 :rule trans :premises (@p68 @p66)) % 0.38/0.58 (step @p70 :rule refl :args (@t8)) % 0.38/0.58 (step @p71 :rule eq-symm :args (@t31 @t10)) % 0.38/0.58 (step @p72 :rule refl :args (@t54)) % 0.38/0.58 (step @p73 :rule refl :args (@t45)) % 0.38/0.58 (step @p74 :rule refl :args (@t46)) % 0.38/0.58 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72 @p71 @p70) :args (@t78)) % 0.38/0.58 (step @p76 :rule cong :premises (@p75) :args ((forall @t22 @t78))) % 0.38/0.58 (step @p77 :rule trans :premises (@p76 @p69)) % 0.38/0.58 (step @p78 :rule aci_norm :args ((= (or @t46 @t79) @t78))) % 0.38/0.58 (step @p79 :rule aci_norm :args ((= (or @t45 @t80) @t79))) % 0.38/0.58 (step @p80 :rule aci_norm :args ((= (or @t54 (or @t77 @t8)) @t80))) % 0.38/0.58 (step @p81 :rule refl :args (@t8)) % 0.38/0.58 (step @p82 :rule bool-not-eq-elim1 :args (@t11 @t10)) % 0.38/0.58 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t12) @t8))) % 0.38/0.58 (step @p84 :rule bool-impl-elim :args (@t12 @t8)) % 0.38/0.58 (step @p85 :rule trans :premises (@p84 @p83)) % 0.38/0.58 (step @p86 :rule aci_norm :args ((= (and @t16 (and @t3 @t53)) @t54))) % 0.38/0.58 (step @p87 :rule bool-implies-de-morgan :args (@t3 @t14)) % 0.38/0.58 (step @p88 :rule refl :args (@t16)) % 0.38/0.58 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((and @t16 (not @t15)))) % 0.38/0.58 (step @p90 :rule trans :premises (@p89 @p86)) % 0.38/0.58 (step @p91 :rule bool-implies-de-morgan :args (@t16 @t15)) % 0.38/0.58 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.58 (step @p93 :rule nary_cong :premises (@p92 @p85) :args ((or (not @t17) @t13))) % 0.38/0.58 (step @p94 :rule trans :premises (@p93 @p80)) % 0.38/0.58 (step @p95 :rule bool-impl-elim :args (@t17 @t13)) % 0.38/0.58 (step @p96 :rule trans :premises (@p95 @p94)) % 0.38/0.58 (step @p97 :rule nary_cong :premises (@p5 @p96) :args ((or @t45 @t18))) % 0.38/0.58 (step @p98 :rule trans :premises (@p97 @p79)) % 0.38/0.58 (step @p99 :rule bool-impl-elim :args (@t19 @t18)) % 0.38/0.58 (step @p100 :rule trans :premises (@p99 @p98)) % 0.38/0.58 (step @p101 :rule nary_cong :premises (@p9 @p100) :args ((or @t46 @t20))) % 0.38/0.58 (step @p102 :rule trans :premises (@p101 @p78)) % 0.38/0.58 (step @p103 :rule bool-impl-elim :args (@t21 @t20)) % 0.38/0.58 (step @p104 :rule trans :premises (@p103 @p102)) % 0.38/0.58 (step @p105 :rule cong :premises (@p104) :args (@t23)) % 0.38/0.58 (step @p106 :rule trans :premises (@p105 @p77)) % 0.38/0.58 (step @p107 :rule cong :premises (@p106) :args (@t25)) % 0.38/0.58 (step @p108 :rule trans :premises (@p107 @p65)) % 0.38/0.58 (step @p109 :rule cong :premises (@p108) :args (@t27)) % 0.38/0.58 (step @p110 :rule trans :premises (@p109 @p14)) % 0.38/0.58 (step @p111 :rule cong :premises (@p110) :args (@t28)) % 0.38/0.58 (step @p112 :rule eq_resolve :premises (@p1 @p111)) % 0.38/0.58 (step @p113 :rule refl :args (@t95)) % 0.38/0.58 (step @p114 :rule bool-double-not-elim :args (@t81)) % 0.38/0.58 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t96) @t95))) % 0.38/0.58 (step @p116 :rule eq-symm :args (@t84 @t30)) % 0.38/0.58 (step @p117 :rule refl :args (@t85)) % 0.38/0.58 (step @p118 :rule refl :args (@t33)) % 0.38/0.58 (step @p119 :rule eq-symm :args (@t83 @t34)) % 0.38/0.58 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t97)) % 0.38/0.58 (step @p121 :rule nary_cong :premises (@p120 @p116) :args (@t98)) % 0.38/0.58 (step @p122 :rule cong :premises (@p121) :args (@t99)) % 0.38/0.58 (step @p123 :rule cong :premises (@p122) :args (@t100)) % 0.38/0.58 (step @p124 :rule cong :premises (@p123) :args (@t101)) % 0.38/0.58 (step @p125 :rule cong :premises (@p124) :args (@t102)) % 0.38/0.58 (step @p126 :rule refl :args (@t90)) % 0.38/0.58 (step @p127 :rule refl :args (@t91)) % 0.38/0.58 (step @p128 :rule refl :args (@t93)) % 0.38/0.58 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126 @p125) :args (@t103)) % 0.38/0.58 (step @p130 :rule cong :premises (@p129) :args (@t104)) % 0.38/0.58 (step @p131 :rule refl :args (@t96)) % 0.38/0.58 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t96 @t104))) % 0.38/0.58 (assume-push @p200 @t96) % 0.38/0.58 (step @p134 :rule skolemize :premises (@p112)) % 0.38/0.58 (step-pop @p201 :rule scope :premises (@p134)) % 0.38/0.58 (step @p135 :rule process_scope :premises (@p201) :args (@t104)) % 0.38/0.58 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.38/0.58 (step @p138 :rule implies_elim :premises (@p137)) % 0.38/0.58 (step @p139 :rule eq_resolve :premises (@p138 @p115)) % 0.38/0.58 (step @p140 :rule chain_m_resolution :premises (@p139 @p112) :args (@t95 @t105 (@list @t81))) % 0.38/0.58 (step @p141 :rule bool-double-not-elim :args (@t89)) % 0.38/0.58 (step @p142 :rule refl :args (@t94)) % 0.38/0.58 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t94 (not @t90)))) % 0.38/0.58 (step @p144 :rule cnf_or_neg :args (@t94 2)) % 0.38/0.58 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.38/0.58 (step @p146 :rule reordering :premises (@p145) :args ((or @t89 @t94))) % 0.38/0.58 (step @p147 :rule chain_m_resolution :premises (@p146 @p140) :args (@t89 @t105 @t106)) % 0.38/0.58 (step @p148 :rule bool-double-not-elim :args (@t86)) % 0.38/0.58 (step @p149 :rule nary_cong :premises (@p142 @p148) :args ((or @t94 (not @t87)))) % 0.38/0.58 (step @p150 :rule cnf_or_neg :args (@t94 3)) % 0.38/0.58 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.38/0.58 (step @p152 :rule reordering :premises (@p151) :args ((or @t86 @t94))) % 0.38/0.58 (step @p153 :rule chain_m_resolution :premises (@p152 @p140) :args (@t86 @t105 @t106)) % 0.38/0.58 (step @p154 :rule quant-miniscope-or :args ((= (forall @t22 (or @t111 @t108)) @t112))) % 0.38/0.58 (step @p155 :rule eq-symm :args (@t107 @t84)) % 0.38/0.58 (step @p156 :rule aci_norm :args ((= (and true @t92 @t110) @t111))) % 0.38/0.58 (step @p157 :rule refl :args (@t110)) % 0.38/0.58 (step @p158 :rule refl :args (@t92)) % 0.38/0.58 (step @p159 :rule eq-refl :args (@t83)) % 0.38/0.58 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args (@t113)) % 0.38/0.58 (step @p161 :rule trans :premises (@p160 @p156)) % 0.38/0.58 (step @p162 :rule nary_cong :premises (@p161 @p155) :args (@t114)) % 0.38/0.58 (step @p163 :rule cong :premises (@p162) :args (@t115)) % 0.38/0.58 (step @p164 :rule trans :premises (@p163 @p154)) % 0.38/0.58 (step @p165 :rule cong :premises (@p164) :args (@t116)) % 0.38/0.58 (step @p166 :rule refl :args (@t86)) % 0.38/0.58 (step @p167 :rule cong :premises (@p166 @p165) :args ((=> @t86 @t116))) % 0.38/0.58 (assume-push @p202 @t86) % 0.38/0.58 (step @p169 :rule instantiate :premises (@p153) :args ((@list @t88 @t82))) % 0.38/0.58 (step-pop @p203 :rule scope :premises (@p169)) % 0.38/0.58 (step @p170 :rule process_scope :premises (@p203) :args (@t116)) % 0.38/0.58 (step @p172 :rule eq_resolve :premises (@p170 @p167)) % 0.38/0.58 (step @p173 :rule implies_elim :premises (@p172)) % 0.38/0.58 (step @p174 :rule chain_m_resolution :premises (@p173 @p153) :args ((not @t112) (@list false) (@list @t86))) % 0.38/0.58 (step @p175 :rule cnf_or_neg :args (@t112 0)) % 0.38/0.58 (step @p176 :rule chain_m_resolution :premises (@p175 @p174) :args ((not @t111) @t105 (@list @t112))) % 0.38/0.58 (step @p177 :rule bool-double-not-elim :args (@t92)) % 0.38/0.58 (step @p178 :rule nary_cong :premises (@p142 @p177) :args ((or @t94 (not @t93)))) % 0.38/0.58 (step @p179 :rule cnf_or_neg :args (@t94 0)) % 0.38/0.58 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 0.38/0.58 (step @p181 :rule reordering :premises (@p180) :args ((or @t92 @t94))) % 0.38/0.58 (step @p182 :rule chain_m_resolution :premises (@p181 @p140) :args (@t92 @t105 @t106)) % 0.38/0.58 (step @p183 :rule bool-double-not-elim :args (@t109)) % 0.38/0.58 (step @p184 :rule refl :args (@t111)) % 0.38/0.58 (step @p185 :rule nary_cong :premises (@p184 @p128 @p183) :args ((or @t111 @t93 (not @t110)))) % 0.38/0.58 (step @p186 :rule cnf_and_neg :args (@t111)) % 0.38/0.58 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 0.38/0.58 (step @p188 :rule reordering :premises (@p187) :args ((or @t93 @t109 @t111))) % 0.38/0.58 (step @p189 :rule chain_m_resolution :premises (@p188 @p182 @p176) :args (@t109 (@list false true) (@list @t92 @t111))) % 0.38/0.58 (step @p190 :rule cnf_or_pos :args (@t117)) % 0.38/0.58 (step @p191 :rule factoring :premises (@p190)) % 0.38/0.58 (step @p192 :rule reordering :premises (@p191) :args ((or @t93 @t110 @t118))) % 0.38/0.58 (step @p193 :rule chain_m_resolution :premises (@p192 @p182 @p189) :args (@t118 (@list false false) (@list @t92 @t109))) % 0.38/0.58 (assume-push @p204 @t89) % 0.38/0.58 (step @p195 :rule instantiate :premises (@p147) :args ((@list @t82 @t82))) % 0.38/0.58 (step-pop @p205 :rule scope :premises (@p195)) % 0.38/0.58 (step @p196 :rule process_scope :premises (@p205) :args (@t117)) % 0.38/0.58 (step @p198 :rule implies_elim :premises (@p196)) % 0.38/0.58 (step @p199 false :rule chain_m_resolution :premises (@p198 @p193 @p147) :args (false (@list true false) (@list @t117 @t89))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------