%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS072+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:28:52 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : KRS072+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 05:27:03 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.37 % SZS status Unsatisfiable % 0.15/0.37 % SZS output start Proof % 0.15/0.38 ( % 0.15/0.38 (declare-sort $$unsorted 0) % 0.15/0.38 (declare-const tptp.i2003_11_14_17_18_50190 $$unsorted) % 0.15/0.38 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cp5 (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cp4 (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cp3 (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cp2 (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.15/0.38 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.38 (define @t2 () (@var "A" $$unsorted)) % 0.15/0.38 (define @t3 () (= @t2 @t1)) % 0.15/0.38 (define @t4 () (@list @t2 @t1)) % 0.15/0.38 (define @t5 () (@var "C" $$unsorted)) % 0.15/0.38 (define @t6 () (@list @t2 @t1 @t5)) % 0.15/0.38 (define @t7 () (@var "X" $$unsorted)) % 0.15/0.38 (define @t8 () (@list @t7)) % 0.15/0.38 (define @t9 () (tptp.cp2 @t7)) % 0.15/0.38 (define @t10 () (@var "Z" $$unsorted)) % 0.15/0.38 (define @t11 () (tptp.cp1 @t10)) % 0.15/0.38 (define @t12 () (@var "Y" $$unsorted)) % 0.15/0.38 (define @t13 () (tptp.rr @t12 @t10)) % 0.15/0.38 (define @t14 () (and @t13 @t11)) % 0.15/0.38 (define @t15 () (@list @t10)) % 0.15/0.38 (define @t16 () (exists @t15 @t14)) % 0.15/0.38 (define @t17 () (@var "Z1" $$unsorted)) % 0.15/0.38 (define @t18 () (@var "Z0" $$unsorted)) % 0.15/0.38 (define @t19 () (= @t18 @t17)) % 0.15/0.38 (define @t20 () (tptp.rr @t12 @t17)) % 0.15/0.38 (define @t21 () (tptp.rr @t12 @t18)) % 0.15/0.38 (define @t22 () (and @t21 @t20)) % 0.15/0.38 (define @t23 () (@list @t18 @t17)) % 0.15/0.38 (define @t24 () (forall @t23 (=> @t22 @t19))) % 0.15/0.38 (define @t25 () (tptp.rinvR @t7 @t12)) % 0.15/0.38 (define @t26 () (and @t25 @t24 @t16)) % 0.15/0.38 (define @t27 () (@list @t12)) % 0.15/0.38 (define @t28 () (exists @t27 @t26)) % 0.15/0.38 (define @t29 () (and @t28 @t9)) % 0.15/0.38 (define @t30 () (tptp.cUnsatisfiable @t7)) % 0.15/0.38 (define @t31 () (= @t30 @t29)) % 0.15/0.38 (define @t32 () (forall @t8 @t31)) % 0.15/0.38 (define @t33 () (tptp.cp5 @t7)) % 0.15/0.38 (define @t34 () (tptp.cp4 @t7)) % 0.15/0.38 (define @t35 () (tptp.cp3 @t7)) % 0.15/0.38 (define @t36 () (not (or @t35 @t9 @t34 @t33))) % 0.15/0.38 (define @t37 () (tptp.cp1 @t7)) % 0.15/0.38 (define @t38 () (forall @t8 (=> @t37 @t36))) % 0.15/0.38 (define @t39 () (not (or @t34 @t33))) % 0.15/0.38 (define @t40 () (not @t33)) % 0.15/0.38 (define @t41 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_18_50190)) % 0.15/0.38 (define @t42 () (@var "BOUND_VARIABLE_7770" $$unsorted)) % 0.15/0.38 (define @t43 () (not (tptp.cp1 @t42))) % 0.15/0.38 (define @t44 () (not (tptp.rr @t12 @t42))) % 0.15/0.38 (define @t45 () (not @t20)) % 0.15/0.38 (define @t46 () (not @t21)) % 0.15/0.38 (define @t47 () (or @t46 @t45 @t19)) % 0.15/0.38 (define @t48 () (forall @t23 @t47)) % 0.15/0.38 (define @t49 () (not @t48)) % 0.15/0.38 (define @t50 () (not @t25)) % 0.15/0.38 (define @t51 () (or @t44 @t43)) % 0.15/0.38 (define @t52 () (or @t50 @t49 @t51)) % 0.15/0.38 (define @t53 () (@list @t12 @t42)) % 0.15/0.38 (define @t54 () (forall @t53 @t52)) % 0.15/0.38 (define @t55 () (@list @t42)) % 0.15/0.38 (define @t56 () (forall @t55 @t52)) % 0.15/0.38 (define @t57 () (forall @t55 @t51)) % 0.15/0.38 (define @t58 () (or @t50 @t49 @t57)) % 0.15/0.38 (define @t59 () (forall @t15 (or (not @t13) (not @t11)))) % 0.15/0.38 (define @t60 () (not @t59)) % 0.15/0.38 (define @t61 () (not @t60)) % 0.15/0.38 (define @t62 () (or @t50 @t49 @t61)) % 0.15/0.38 (define @t63 () (and @t25 @t48 @t60)) % 0.15/0.38 (define @t64 () (forall @t27 (not @t63))) % 0.15/0.38 (define @t65 () (not @t64)) % 0.15/0.38 (define @t66 () (forall @t15 (not @t14))) % 0.15/0.38 (define @t67 () (not @t66)) % 0.15/0.38 (define @t68 () (forall @t53 (or (not (tptp.rinvR tptp.i2003_11_14_17_18_50190 @t12)) @t49 @t44 @t43))) % 0.15/0.38 (define @t69 () (not @t68)) % 0.15/0.38 (define @t70 () (and @t69 (tptp.cp2 tptp.i2003_11_14_17_18_50190))) % 0.15/0.38 (define @t71 () (= @t41 @t70)) % 0.15/0.38 (define @t72 () (@list false false)) % 0.15/0.38 (define @t73 () (@list false)) % 0.15/0.38 (define @t74 () (@quantifiers_skolemize @t68 0)) % 0.15/0.38 (define @t75 () (forall @t23 (or (not (tptp.rr @t74 @t18)) (not (tptp.rr @t74 @t17)) @t19))) % 0.15/0.38 (define @t76 () (@quantifiers_skolemize @t68 1)) % 0.15/0.38 (define @t77 () (tptp.cp1 @t76)) % 0.15/0.38 (define @t78 () (not @t77)) % 0.15/0.38 (define @t79 () (tptp.rr @t74 @t76)) % 0.15/0.38 (define @t80 () (not @t79)) % 0.15/0.38 (define @t81 () (not @t75)) % 0.15/0.38 (define @t82 () (tptp.rinvR tptp.i2003_11_14_17_18_50190 @t74)) % 0.15/0.38 (define @t83 () (not @t82)) % 0.15/0.38 (define @t84 () (or @t83 @t81 @t80 @t78)) % 0.15/0.38 (define @t85 () (@list true)) % 0.15/0.38 (define @t86 () (@list @t84)) % 0.15/0.38 (define @t87 () (tptp.rr @t74 tptp.i2003_11_14_17_18_50190)) % 0.15/0.38 (define @t88 () (not @t87)) % 0.15/0.38 (define @t89 () (or @t80 @t88 (= @t76 tptp.i2003_11_14_17_18_50190))) % 0.15/0.38 (define @t90 () (= tptp.i2003_11_14_17_18_50190 @t76)) % 0.15/0.38 (define @t91 () (or @t80 @t88 @t90)) % 0.15/0.38 (define @t92 () (= @t82 @t87)) % 0.15/0.38 (define @t93 () (tptp.cUnsatisfiable @t76)) % 0.15/0.38 (define @t94 () (@list @t76)) % 0.15/0.38 (define @t95 () (not @t34)) % 0.15/0.38 (define @t96 () (not @t9)) % 0.15/0.38 (define @t97 () (not @t35)) % 0.15/0.38 (define @t98 () (not @t37)) % 0.15/0.38 (define @t99 () (tptp.cp2 @t76)) % 0.15/0.38 (define @t100 () (not @t99)) % 0.15/0.38 (define @t101 () (and (not (tptp.cp3 @t76)) @t100 (not (tptp.cp4 @t76)) (not (tptp.cp5 @t76)))) % 0.15/0.38 (define @t102 () (or @t78 @t101)) % 0.15/0.38 (define @t103 () (and (not (forall @t53 (or (not (tptp.rinvR @t76 @t12)) @t49 @t44 @t43))) @t99)) % 0.15/0.38 (define @t104 () (not @t103)) % 0.15/0.38 (define @t105 () (= @t93 @t103)) % 0.15/0.38 (define @t106 () (not @t93)) % 0.15/0.38 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.15/0.38 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.15/0.38 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.15/0.38 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.15/0.38 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cp2 @t2)) (tptp.cp2 @t1)))) % 0.15/0.38 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cp3 @t2)) (tptp.cp3 @t1)))) % 0.15/0.38 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cp4 @t2)) (tptp.cp4 @t1)))) % 0.15/0.38 (assume @p8 (forall @t4 (=> (and @t3 (tptp.cp5 @t2)) (tptp.cp5 @t1)))) % 0.15/0.38 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.15/0.38 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.15/0.38 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.15/0.38 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.15/0.38 (assume @p13 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.15/0.38 (assume @p14 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.15/0.38 (assume @p15 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.15/0.38 (assume @p16 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.15/0.38 (assume @p17 @t32) % 0.15/0.38 (assume @p18 @t38) % 0.15/0.38 (assume @p19 (forall @t8 (=> @t9 (not (or @t35 @t34 @t33))))) % 0.15/0.38 (assume @p20 (forall @t8 (=> @t35 @t39))) % 0.15/0.38 (assume @p21 (forall @t8 (=> @t34 @t40))) % 0.15/0.38 (assume @p22 (forall (@list @t7 @t12) (= @t25 (tptp.rr @t12 @t7)))) % 0.15/0.38 (assume @p23 @t41) % 0.15/0.38 (step @p24 :rule evaluate :args ((= false true))) % 0.15/0.38 (step @p25 :rule true_intro :premises (@p23)) % 0.15/0.38 (step @p26 :rule refl :args (@t9)) % 0.15/0.38 (step @p27 :rule aci_norm :args ((= @t52 (or @t50 @t49 @t44 @t43)))) % 0.15/0.38 (step @p28 :rule cong :premises (@p27) :args (@t54)) % 0.15/0.38 (step @p29 :rule quant-merge-prenex :args ((= (forall @t27 @t56) @t54))) % 0.15/0.38 (step @p30 :rule alpha_equiv :args (@t57 (@list @t42) (@list @t10))) % 0.15/0.38 (step @p31 :rule refl :args (@t49)) % 0.15/0.38 (step @p32 :rule refl :args (@t50)) % 0.15/0.38 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t58)) % 0.15/0.38 (step @p34 :rule quant-miniscope-or :args ((= @t56 @t58))) % 0.15/0.38 (step @p35 :rule trans :premises (@p34 @p33)) % 0.15/0.38 (step @p36 :rule symm :premises (@p35)) % 0.15/0.38 (step @p37 :rule cong :premises (@p36) :args ((forall @t27 (or @t50 @t49 @t59)))) % 0.15/0.38 (step @p38 :rule trans :premises (@p37 @p29)) % 0.15/0.38 (step @p39 :rule trans :premises (@p38 @p28)) % 0.15/0.38 (step @p40 :rule bool-double-not-elim :args (@t59)) % 0.15/0.38 (step @p41 :rule nary_cong :premises (@p32 @p31 @p40) :args (@t62)) % 0.15/0.38 (step @p42 :rule aci_norm :args ((= (or @t50 (or @t49 @t61)) @t62))) % 0.15/0.38 (step @p43 :rule trans :premises (@p42 @p41)) % 0.15/0.38 (step @p44 :rule bool-and-de-morgan :args (@t48 @t60 true)) % 0.15/0.38 (step @p45 :rule nary_cong :premises (@p32 @p44) :args ((or @t50 (not (and @t48 @t60))))) % 0.15/0.38 (step @p46 :rule bool-and-de-morgan :args (@t25 @t48 (and @t60))) % 0.15/0.38 (step @p47 :rule trans :premises (@p46 @p45)) % 0.15/0.38 (step @p48 :rule trans :premises (@p47 @p43)) % 0.15/0.38 (step @p49 :rule cong :premises (@p48) :args (@t64)) % 0.15/0.38 (step @p50 :rule trans :premises (@p49 @p39)) % 0.15/0.38 (step @p51 :rule cong :premises (@p50) :args (@t65)) % 0.15/0.38 (step @p52 :rule exists-elim :args ((= (exists @t27 @t63) @t65))) % 0.15/0.38 (step @p53 :rule trans :premises (@p52 @p51)) % 0.15/0.38 (step @p54 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 0.15/0.38 (step @p55 :rule cong :premises (@p54) :args (@t66)) % 0.15/0.38 (step @p56 :rule cong :premises (@p55) :args (@t67)) % 0.15/0.38 (step @p57 :rule exists-elim :args ((= @t16 @t67))) % 0.15/0.38 (step @p58 :rule trans :premises (@p57 @p56)) % 0.15/0.38 (step @p59 :rule aci_norm :args ((= (or (or @t46 @t45) @t19) @t47))) % 0.15/0.38 (step @p60 :rule refl :args (@t19)) % 0.15/0.38 (step @p61 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.15/0.38 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t22) @t19))) % 0.15/0.38 (step @p63 :rule trans :premises (@p62 @p59)) % 0.15/0.38 (step @p64 :rule bool-impl-elim :args (@t22 @t19)) % 0.15/0.38 (step @p65 :rule trans :premises (@p64 @p63)) % 0.15/0.38 (step @p66 :rule cong :premises (@p65) :args (@t24)) % 0.15/0.38 (step @p67 :rule refl :args (@t25)) % 0.15/0.38 (step @p68 :rule nary_cong :premises (@p67 @p66 @p58) :args (@t26)) % 0.15/0.38 (step @p69 :rule cong :premises (@p68) :args (@t28)) % 0.15/0.38 (step @p70 :rule trans :premises (@p69 @p53)) % 0.15/0.38 (step @p71 :rule nary_cong :premises (@p70 @p26) :args (@t29)) % 0.15/0.38 (step @p72 :rule refl :args (@t30)) % 0.15/0.38 (step @p73 :rule cong :premises (@p72 @p71) :args (@t31)) % 0.15/0.38 (step @p74 :rule cong :premises (@p73) :args (@t32)) % 0.15/0.38 (step @p75 :rule eq_resolve :premises (@p17 @p74)) % 0.15/0.38 (step @p76 :rule instantiate :premises (@p75) :args ((@list tptp.i2003_11_14_17_18_50190))) % 0.15/0.38 (step @p77 :rule cnf_equiv_pos1 :args (@t71)) % 0.15/0.38 (step @p78 :rule reordering :premises (@p77) :args ((or (not @t41) @t70 (not @t71)))) % 0.15/0.38 (step @p79 :rule chain_m_resolution :premises (@p78 @p23 @p76) :args (@t70 @t72 (@list @t41 @t71))) % 0.15/0.38 (step @p80 :rule cnf_and_pos :args (@t70 0)) % 0.15/0.38 (step @p81 :rule reordering :premises (@p80) :args ((or @t69 (not @t70)))) % 0.15/0.38 (step @p82 :rule chain_m_resolution :premises (@p81 @p79) :args (@t69 @t73 (@list @t70))) % 0.15/0.38 (step @p83 :rule skolemize :premises (@p82)) % 0.15/0.38 (step @p84 :rule bool-double-not-elim :args (@t75)) % 0.15/0.38 (step @p85 :rule refl :args (@t84)) % 0.15/0.38 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t84 (not @t81)))) % 0.15/0.38 (step @p87 :rule cnf_or_neg :args (@t84 1)) % 0.15/0.38 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.15/0.38 (step @p89 :rule reordering :premises (@p88) :args ((or @t75 @t84))) % 0.15/0.38 (step @p90 :rule chain_m_resolution :premises (@p89 @p83) :args (@t75 @t85 @t86)) % 0.15/0.38 (step @p91 :rule eq-symm :args (@t76 tptp.i2003_11_14_17_18_50190)) % 0.15/0.38 (step @p92 :rule refl :args (@t88)) % 0.15/0.38 (step @p93 :rule refl :args (@t80)) % 0.15/0.38 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args (@t89)) % 0.15/0.38 (step @p95 :rule refl :args (@t75)) % 0.15/0.38 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t75 @t89))) % 0.15/0.38 (assume-push @p166 @t75) % 0.15/0.38 (step @p98 :rule instantiate :premises (@p90) :args ((@list @t76 tptp.i2003_11_14_17_18_50190))) % 0.15/0.38 (step-pop @p167 :rule scope :premises (@p98)) % 0.15/0.38 (step @p99 :rule process_scope :premises (@p167) :args (@t89)) % 0.15/0.38 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.15/0.38 (step @p102 :rule implies_elim :premises (@p101)) % 0.15/0.38 (step @p103 :rule chain_m_resolution :premises (@p102 @p90) :args (@t91 @t73 (@list @t75))) % 0.15/0.38 (step @p104 :rule instantiate :premises (@p22) :args ((@list tptp.i2003_11_14_17_18_50190 @t74))) % 0.15/0.38 (step @p105 :rule bool-double-not-elim :args (@t82)) % 0.15/0.38 (step @p106 :rule nary_cong :premises (@p85 @p105) :args ((or @t84 (not @t83)))) % 0.15/0.38 (step @p107 :rule cnf_or_neg :args (@t84 0)) % 0.15/0.38 (step @p108 :rule eq_resolve :premises (@p107 @p106)) % 0.15/0.38 (step @p109 :rule reordering :premises (@p108) :args ((or @t82 @t84))) % 0.15/0.38 (step @p110 :rule chain_m_resolution :premises (@p109 @p83) :args (@t82 @t85 @t86)) % 0.15/0.38 (step @p111 :rule cnf_equiv_pos1 :args (@t92)) % 0.15/0.38 (step @p112 :rule reordering :premises (@p111) :args ((or @t83 @t87 (not @t92)))) % 0.15/0.38 (step @p113 :rule chain_m_resolution :premises (@p112 @p110 @p104) :args (@t87 @t72 (@list @t82 @t92))) % 0.15/0.38 (step @p114 :rule bool-double-not-elim :args (@t79)) % 0.15/0.38 (step @p115 :rule nary_cong :premises (@p85 @p114) :args ((or @t84 (not @t80)))) % 0.15/0.38 (step @p116 :rule cnf_or_neg :args (@t84 2)) % 0.15/0.38 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.15/0.38 (step @p118 :rule reordering :premises (@p117) :args ((or @t79 @t84))) % 0.15/0.38 (step @p119 :rule chain_m_resolution :premises (@p118 @p83) :args (@t79 @t85 @t86)) % 0.15/0.38 (step @p120 :rule cnf_or_pos :args (@t91)) % 0.15/0.38 (step @p121 :rule reordering :premises (@p120) :args ((or @t80 @t88 @t90 (not @t91)))) % 0.15/0.38 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p113 @p103) :args (@t90 (@list false false false) (@list @t79 @t87 @t91))) % 0.15/0.38 (step @p123 :rule symm :premises (@p122)) % 0.15/0.38 (step @p124 :rule cong :premises (@p123) :args (@t93)) % 0.15/0.38 (step @p125 :rule instantiate :premises (@p75) :args (@t94)) % 0.15/0.38 (step @p126 :rule aci_norm :args ((= (and @t97 (and @t96 (and @t95 @t40))) (and @t97 @t96 @t95 @t40)))) % 0.15/0.38 (step @p127 :rule bool-or-de-morgan :args (@t34 @t33 false)) % 0.15/0.38 (step @p128 :rule refl :args (@t96)) % 0.15/0.38 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((and @t96 @t39))) % 0.15/0.38 (step @p130 :rule bool-or-de-morgan :args (@t9 @t34 (or @t33))) % 0.15/0.38 (step @p131 :rule trans :premises (@p130 @p129)) % 0.15/0.38 (step @p132 :rule refl :args (@t97)) % 0.15/0.38 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((and @t97 (not (or @t9 @t34 @t33))))) % 0.15/0.38 (step @p134 :rule bool-or-de-morgan :args (@t35 @t9 (or @t34 @t33))) % 0.15/0.38 (step @p135 :rule trans :premises (@p134 @p133)) % 0.15/0.38 (step @p136 :rule trans :premises (@p135 @p126)) % 0.15/0.38 (step @p137 :rule refl :args (@t98)) % 0.15/0.38 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or @t98 @t36))) % 0.15/0.38 (step @p139 :rule bool-impl-elim :args (@t37 @t36)) % 0.15/0.38 (step @p140 :rule trans :premises (@p139 @p138)) % 0.15/0.38 (step @p141 :rule cong :premises (@p140) :args (@t38)) % 0.15/0.38 (step @p142 :rule eq_resolve :premises (@p18 @p141)) % 0.15/0.38 (step @p143 :rule instantiate :premises (@p142) :args (@t94)) % 0.15/0.38 (step @p144 :rule bool-double-not-elim :args (@t77)) % 0.15/0.38 (step @p145 :rule nary_cong :premises (@p85 @p144) :args ((or @t84 (not @t78)))) % 0.15/0.38 (step @p146 :rule cnf_or_neg :args (@t84 3)) % 0.15/0.38 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.15/0.38 (step @p148 :rule reordering :premises (@p147) :args ((or @t77 @t84))) % 0.15/0.38 (step @p149 :rule chain_m_resolution :premises (@p148 @p83) :args (@t77 @t85 @t86)) % 0.15/0.38 (step @p150 :rule cnf_or_pos :args (@t102)) % 0.15/0.38 (step @p151 :rule reordering :premises (@p150) :args ((or @t78 @t101 (not @t102)))) % 0.15/0.38 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p143) :args (@t101 @t72 (@list @t77 @t102))) % 0.15/0.38 (step @p153 :rule cnf_and_pos :args (@t101 1)) % 0.15/0.38 (step @p154 :rule reordering :premises (@p153) :args ((or @t100 (not @t101)))) % 0.15/0.38 (step @p155 :rule chain_m_resolution :premises (@p154 @p152) :args (@t100 @t73 (@list @t101))) % 0.15/0.38 (step @p156 :rule cnf_and_pos :args (@t103 1)) % 0.15/0.38 (step @p157 :rule reordering :premises (@p156) :args ((or @t99 @t104))) % 0.15/0.38 (step @p158 :rule chain_m_resolution :premises (@p157 @p155) :args (@t104 @t85 (@list @t99))) % 0.15/0.38 (step @p159 :rule cnf_equiv_pos1 :args (@t105)) % 0.15/0.38 (step @p160 :rule reordering :premises (@p159) :args ((or @t103 @t106 (not @t105)))) % 0.15/0.38 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p125) :args (@t106 (@list true false) (@list @t103 @t105))) % 0.15/0.38 (step @p162 :rule false_intro :premises (@p161)) % 0.15/0.38 (step @p163 :rule symm :premises (@p162)) % 0.15/0.38 (step @p164 :rule trans :premises (@p163 @p124 @p25)) % 0.15/0.38 (step @p165 false :rule eq_resolve :premises (@p164 @p24)) % 0.15/0.38 ) % 0.15/0.38 % SZS output end Proof % 0.15/0.38 % cvc5 exiting %------------------------------------------------------------------------------