%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS097+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 : n009.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 08:28:55 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS097+1 : TPTP v9.2.1. Released v3.1.0. % 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 : n009.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 05:27:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rtt (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.ca (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rt3 (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.ce (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rt1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.i2003_11_14_17_20_21603 $$unsorted) % 0.39/0.58 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rr1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rr2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rr3 (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.rt2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t3 () (= @t2 @t1)) % 0.39/0.58 (define @t4 () (@list @t2 @t1)) % 0.39/0.58 (define @t5 () (@var "C" $$unsorted)) % 0.39/0.58 (define @t6 () (@list @t2 @t1 @t5)) % 0.39/0.58 (define @t7 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t8 () (@list @t7)) % 0.39/0.58 (define @t9 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t10 () (tptp.cc @t9)) % 0.39/0.58 (define @t11 () (tptp.rr @t7 @t9)) % 0.39/0.58 (define @t12 () (and @t11 @t10)) % 0.39/0.58 (define @t13 () (@list @t9)) % 0.39/0.58 (define @t14 () (exists @t13 @t12)) % 0.39/0.58 (define @t15 () (@var "Y1" $$unsorted)) % 0.39/0.58 (define @t16 () (@var "Y0" $$unsorted)) % 0.39/0.58 (define @t17 () (= @t16 @t15)) % 0.39/0.58 (define @t18 () (not @t17)) % 0.39/0.58 (define @t19 () (tptp.rr @t7 @t15)) % 0.39/0.58 (define @t20 () (tptp.rr @t7 @t16)) % 0.39/0.58 (define @t21 () (and @t20 @t19 @t18)) % 0.39/0.58 (define @t22 () (@list @t16 @t15)) % 0.39/0.58 (define @t23 () (exists @t22 @t21)) % 0.39/0.58 (define @t24 () (not @t23)) % 0.39/0.58 (define @t25 () (tptp.cd @t9)) % 0.39/0.58 (define @t26 () (and @t11 @t25)) % 0.39/0.58 (define @t27 () (exists @t13 @t26)) % 0.39/0.58 (define @t28 () (@list @t16)) % 0.39/0.58 (define @t29 () (exists @t28 @t20)) % 0.39/0.58 (define @t30 () (and @t29 @t27 @t24 @t14)) % 0.39/0.58 (define @t31 () (tptp.cUnsatisfiable @t7)) % 0.39/0.58 (define @t32 () (= @t31 @t30)) % 0.39/0.58 (define @t33 () (forall @t8 @t32)) % 0.39/0.58 (define @t34 () (tptp.cc @t7)) % 0.39/0.58 (define @t35 () (tptp.cd @t7)) % 0.39/0.58 (define @t36 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_20_21603)) % 0.39/0.58 (define @t37 () (tptp.ce @t7)) % 0.39/0.58 (define @t38 () (forall @t8 (not (and @t35 @t34)))) % 0.39/0.58 (define @t39 () (tptp.rtt @t7 @t9)) % 0.39/0.58 (define @t40 () (@list @t7 @t9)) % 0.39/0.58 (define @t41 () (forall @t13 (not @t12))) % 0.39/0.58 (define @t42 () (not @t41)) % 0.39/0.58 (define @t43 () (not @t19)) % 0.39/0.58 (define @t44 () (not @t20)) % 0.39/0.58 (define @t45 () (not @t18)) % 0.39/0.58 (define @t46 () (or @t44 @t43 @t45)) % 0.39/0.58 (define @t47 () (forall @t22 (not @t21))) % 0.39/0.58 (define @t48 () (not @t47)) % 0.39/0.58 (define @t49 () (forall @t13 (not @t26))) % 0.39/0.58 (define @t50 () (not @t49)) % 0.39/0.58 (define @t51 () (not (tptp.rr tptp.i2003_11_14_17_20_21603 @t9))) % 0.39/0.58 (define @t52 () (forall @t13 (or @t51 (not @t10)))) % 0.39/0.58 (define @t53 () (not @t52)) % 0.39/0.58 (define @t54 () (not (tptp.rr tptp.i2003_11_14_17_20_21603 @t16))) % 0.39/0.58 (define @t55 () (forall @t22 (or @t54 (not (tptp.rr tptp.i2003_11_14_17_20_21603 @t15)) @t17))) % 0.39/0.58 (define @t56 () (forall @t13 (or @t51 (not @t25)))) % 0.39/0.58 (define @t57 () (not @t56)) % 0.39/0.58 (define @t58 () (forall @t28 @t54)) % 0.39/0.58 (define @t59 () (not @t58)) % 0.39/0.58 (define @t60 () (and @t59 @t57 @t55 @t53)) % 0.39/0.58 (define @t61 () (= @t36 @t60)) % 0.39/0.58 (define @t62 () (@list false false)) % 0.39/0.58 (define @t63 () (not @t60)) % 0.39/0.58 (define @t64 () (@list false)) % 0.39/0.58 (define @t65 () (@list @t60)) % 0.39/0.58 (define @t66 () (@quantifiers_skolemize @t56 0)) % 0.39/0.58 (define @t67 () (tptp.cd @t66)) % 0.39/0.58 (define @t68 () (not @t67)) % 0.39/0.58 (define @t69 () (tptp.rr tptp.i2003_11_14_17_20_21603 @t66)) % 0.39/0.58 (define @t70 () (not @t69)) % 0.39/0.58 (define @t71 () (or @t70 @t68)) % 0.39/0.58 (define @t72 () (@list true)) % 0.39/0.58 (define @t73 () (@list @t71)) % 0.39/0.58 (define @t74 () (@quantifiers_skolemize @t58 0)) % 0.39/0.58 (define @t75 () (tptp.rr tptp.i2003_11_14_17_20_21603 @t74)) % 0.39/0.58 (define @t76 () (not @t75)) % 0.39/0.58 (define @t77 () (not @t76)) % 0.39/0.58 (define @t78 () (= @t74 @t66)) % 0.39/0.58 (define @t79 () (or @t76 @t70 @t78)) % 0.39/0.58 (define @t80 () (@list false false false)) % 0.39/0.58 (define @t81 () (@quantifiers_skolemize @t52 0)) % 0.39/0.58 (define @t82 () (tptp.rr tptp.i2003_11_14_17_20_21603 @t81)) % 0.39/0.58 (define @t83 () (tptp.cc @t81)) % 0.39/0.58 (define @t84 () (not @t83)) % 0.39/0.58 (define @t85 () (not @t82)) % 0.39/0.58 (define @t86 () (or @t85 @t84)) % 0.39/0.58 (define @t87 () (@list @t86)) % 0.39/0.58 (define @t88 () (= @t74 @t81)) % 0.39/0.58 (define @t89 () (or @t76 @t85 @t88)) % 0.39/0.58 (define @t90 () (tptp.cd @t81)) % 0.39/0.58 (define @t91 () (not @t90)) % 0.39/0.58 (define @t92 () (or @t91 @t84)) % 0.39/0.58 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.39/0.58 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca @t2)) (tptp.ca @t1)))) % 0.39/0.58 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cc @t2)) (tptp.cc @t1)))) % 0.39/0.58 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cd @t2)) (tptp.cd @t1)))) % 0.39/0.58 (assume @p5 (forall @t4 (=> (and @t3 (tptp.ce @t2)) (tptp.ce @t1)))) % 0.39/0.58 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.39/0.58 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.39/0.58 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.39/0.58 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.39/0.58 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rr1 @t2 @t5)) (tptp.rr1 @t1 @t5)))) % 0.39/0.58 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rr1 @t5 @t2)) (tptp.rr1 @t5 @t1)))) % 0.39/0.58 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rr2 @t2 @t5)) (tptp.rr2 @t1 @t5)))) % 0.39/0.58 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rr2 @t5 @t2)) (tptp.rr2 @t5 @t1)))) % 0.39/0.58 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rr3 @t2 @t5)) (tptp.rr3 @t1 @t5)))) % 0.39/0.58 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rr3 @t5 @t2)) (tptp.rr3 @t5 @t1)))) % 0.39/0.58 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rt1 @t2 @t5)) (tptp.rt1 @t1 @t5)))) % 0.39/0.58 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rt1 @t5 @t2)) (tptp.rt1 @t5 @t1)))) % 0.39/0.58 (assume @p18 (forall @t6 (=> (and @t3 (tptp.rt2 @t2 @t5)) (tptp.rt2 @t1 @t5)))) % 0.39/0.58 (assume @p19 (forall @t6 (=> (and @t3 (tptp.rt2 @t5 @t2)) (tptp.rt2 @t5 @t1)))) % 0.39/0.58 (assume @p20 (forall @t6 (=> (and @t3 (tptp.rt3 @t2 @t5)) (tptp.rt3 @t1 @t5)))) % 0.39/0.58 (assume @p21 (forall @t6 (=> (and @t3 (tptp.rt3 @t5 @t2)) (tptp.rt3 @t5 @t1)))) % 0.39/0.58 (assume @p22 (forall @t6 (=> (and @t3 (tptp.rtt @t2 @t5)) (tptp.rtt @t1 @t5)))) % 0.39/0.58 (assume @p23 (forall @t6 (=> (and @t3 (tptp.rtt @t5 @t2)) (tptp.rtt @t5 @t1)))) % 0.39/0.58 (assume @p24 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.39/0.58 (assume @p25 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.39/0.58 (assume @p26 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.39/0.58 (assume @p27 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.39/0.58 (assume @p28 @t33) % 0.39/0.58 (assume @p29 (forall @t8 (= (tptp.ca @t7) (or @t35 @t34)))) % 0.39/0.58 (assume @p30 @t36) % 0.39/0.58 (assume @p31 (forall @t8 (not (and @t35 @t37)))) % 0.39/0.58 (assume @p32 @t38) % 0.39/0.58 (assume @p33 (forall @t8 (not (and @t37 @t34)))) % 0.39/0.58 (assume @p34 (forall @t40 (=> (tptp.rt3 @t7 @t9) @t39))) % 0.39/0.58 (assume @p35 (forall @t40 (=> (tptp.rr1 @t7 @t9) @t11))) % 0.39/0.58 (assume @p36 (forall @t40 (=> (tptp.rr3 @t7 @t9) @t11))) % 0.39/0.58 (assume @p37 (forall @t40 (=> (tptp.rt1 @t7 @t9) @t39))) % 0.39/0.58 (assume @p38 (forall @t40 (=> (tptp.rr2 @t7 @t9) @t11))) % 0.39/0.58 (assume @p39 (forall @t40 (=> (tptp.rt2 @t7 @t9) @t39))) % 0.39/0.58 (step @p40 :rule evaluate :args ((= false true))) % 0.39/0.58 (step @p41 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.39/0.58 (step @p42 :rule cong :premises (@p41) :args (@t41)) % 0.39/0.58 (step @p43 :rule cong :premises (@p42) :args (@t42)) % 0.39/0.58 (step @p44 :rule exists-elim :args ((= @t14 @t42))) % 0.39/0.58 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.58 (step @p46 :rule bool-double-not-elim :args ((forall @t22 (or @t44 @t43 @t17)))) % 0.39/0.58 (step @p47 :rule bool-double-not-elim :args (@t17)) % 0.39/0.58 (step @p48 :rule refl :args (@t43)) % 0.39/0.58 (step @p49 :rule refl :args (@t44)) % 0.39/0.58 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47) :args (@t46)) % 0.39/0.58 (step @p51 :rule aci_norm :args ((= (or @t44 (or @t43 @t45)) @t46))) % 0.39/0.58 (step @p52 :rule trans :premises (@p51 @p50)) % 0.39/0.58 (step @p53 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 0.39/0.58 (step @p54 :rule nary_cong :premises (@p49 @p53) :args ((or @t44 (not (and @t19 @t18))))) % 0.39/0.58 (step @p55 :rule bool-and-de-morgan :args (@t20 @t19 (and @t18))) % 0.39/0.58 (step @p56 :rule trans :premises (@p55 @p54)) % 0.39/0.58 (step @p57 :rule trans :premises (@p56 @p52)) % 0.39/0.58 (step @p58 :rule cong :premises (@p57) :args (@t47)) % 0.39/0.58 (step @p59 :rule cong :premises (@p58) :args (@t48)) % 0.39/0.58 (step @p60 :rule exists-elim :args ((= @t23 @t48))) % 0.39/0.58 (step @p61 :rule trans :premises (@p60 @p59)) % 0.39/0.58 (step @p62 :rule cong :premises (@p61) :args (@t24)) % 0.39/0.58 (step @p63 :rule trans :premises (@p62 @p46)) % 0.39/0.58 (step @p64 :rule bool-and-de-morgan :args (@t11 @t25 true)) % 0.39/0.58 (step @p65 :rule cong :premises (@p64) :args (@t49)) % 0.39/0.58 (step @p66 :rule cong :premises (@p65) :args (@t50)) % 0.39/0.58 (step @p67 :rule exists-elim :args ((= @t27 @t50))) % 0.39/0.58 (step @p68 :rule trans :premises (@p67 @p66)) % 0.39/0.58 (step @p69 :rule exists-elim :args ((= @t29 (not (forall @t28 @t44))))) % 0.39/0.58 (step @p70 :rule nary_cong :premises (@p69 @p68 @p63 @p45) :args (@t30)) % 0.39/0.58 (step @p71 :rule refl :args (@t31)) % 0.39/0.58 (step @p72 :rule cong :premises (@p71 @p70) :args (@t32)) % 0.39/0.58 (step @p73 :rule cong :premises (@p72) :args (@t33)) % 0.39/0.58 (step @p74 :rule eq_resolve :premises (@p28 @p73)) % 0.39/0.58 (step @p75 :rule instantiate :premises (@p74) :args ((@list tptp.i2003_11_14_17_20_21603))) % 0.39/0.58 (step @p76 :rule cnf_equiv_pos1 :args (@t61)) % 0.39/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or (not @t36) @t60 (not @t61)))) % 0.39/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p30 @p75) :args (@t60 @t62 (@list @t36 @t61))) % 0.39/0.58 (step @p79 :rule cnf_and_pos :args (@t60 1)) % 0.39/0.58 (step @p80 :rule reordering :premises (@p79) :args ((or @t57 @t63))) % 0.39/0.58 (step @p81 :rule chain_m_resolution :premises (@p80 @p78) :args (@t57 @t64 @t65)) % 0.39/0.58 (step @p82 :rule skolemize :premises (@p81)) % 0.39/0.58 (step @p83 :rule bool-double-not-elim :args (@t67)) % 0.39/0.58 (step @p84 :rule refl :args (@t71)) % 0.39/0.58 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t71 (not @t68)))) % 0.39/0.58 (step @p86 :rule cnf_or_neg :args (@t71 1)) % 0.39/0.58 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.39/0.58 (step @p88 :rule reordering :premises (@p87) :args ((or @t67 @t71))) % 0.39/0.58 (step @p89 :rule chain_m_resolution :premises (@p88 @p82) :args (@t67 @t72 @t73)) % 0.39/0.58 (step @p90 :rule true_intro :premises (@p89)) % 0.39/0.58 (step @p91 :rule cnf_and_pos :args (@t60 2)) % 0.39/0.58 (step @p92 :rule reordering :premises (@p91) :args ((or @t55 @t63))) % 0.39/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p78) :args (@t55 @t64 @t65)) % 0.39/0.58 (step @p94 :rule instantiate :premises (@p93) :args ((@list @t74 @t66))) % 0.39/0.58 (step @p95 :rule bool-double-not-elim :args (@t69)) % 0.39/0.58 (step @p96 :rule nary_cong :premises (@p84 @p95) :args ((or @t71 (not @t70)))) % 0.39/0.58 (step @p97 :rule cnf_or_neg :args (@t71 0)) % 0.39/0.58 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.39/0.58 (step @p99 :rule reordering :premises (@p98) :args ((or @t69 @t71))) % 0.39/0.58 (step @p100 :rule chain_m_resolution :premises (@p99 @p82) :args (@t69 @t72 @t73)) % 0.39/0.58 (step @p101 :rule cnf_and_pos :args (@t60 0)) % 0.39/0.58 (step @p102 :rule reordering :premises (@p101) :args ((or @t59 @t63))) % 0.39/0.58 (step @p103 :rule chain_m_resolution :premises (@p102 @p78) :args (@t59 @t64 @t65)) % 0.39/0.58 (step @p104 :rule refl :args (@t75)) % 0.39/0.58 (step @p105 :rule bool-double-not-elim :args (@t58)) % 0.39/0.58 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t59) @t75))) % 0.39/0.58 (step @p107 :rule bool-double-not-elim :args (@t75)) % 0.39/0.58 (step @p108 :rule refl :args (@t59)) % 0.39/0.58 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t59 @t77))) % 0.39/0.58 (assume-push @p156 @t59) % 0.39/0.58 (step @p111 :rule skolemize :premises (@p103)) % 0.39/0.58 (step-pop @p157 :rule scope :premises (@p111)) % 0.39/0.58 (step @p112 :rule process_scope :premises (@p157) :args (@t77)) % 0.39/0.58 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 0.39/0.58 (step @p115 :rule implies_elim :premises (@p114)) % 0.39/0.58 (step @p116 :rule eq_resolve :premises (@p115 @p106)) % 0.39/0.58 (step @p117 :rule chain_m_resolution :premises (@p116 @p103) :args (@t75 @t72 (@list @t58))) % 0.39/0.58 (step @p118 :rule cnf_or_pos :args (@t79)) % 0.39/0.58 (step @p119 :rule reordering :premises (@p118) :args ((or @t76 @t70 @t78 (not @t79)))) % 0.39/0.58 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p100 @p94) :args (@t78 @t80 (@list @t75 @t69 @t79))) % 0.39/0.58 (step @p121 :rule instantiate :premises (@p93) :args ((@list @t74 @t81))) % 0.39/0.58 (step @p122 :rule cnf_and_pos :args (@t60 3)) % 0.39/0.58 (step @p123 :rule reordering :premises (@p122) :args ((or @t53 @t63))) % 0.39/0.58 (step @p124 :rule chain_m_resolution :premises (@p123 @p78) :args (@t53 @t64 @t65)) % 0.39/0.58 (step @p125 :rule skolemize :premises (@p124)) % 0.39/0.58 (step @p126 :rule bool-double-not-elim :args (@t82)) % 0.39/0.58 (step @p127 :rule refl :args (@t86)) % 0.39/0.58 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t86 (not @t85)))) % 0.39/0.58 (step @p129 :rule cnf_or_neg :args (@t86 0)) % 0.39/0.58 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.39/0.58 (step @p131 :rule reordering :premises (@p130) :args ((or @t82 @t86))) % 0.39/0.58 (step @p132 :rule chain_m_resolution :premises (@p131 @p125) :args (@t82 @t72 @t87)) % 0.39/0.58 (step @p133 :rule cnf_or_pos :args (@t89)) % 0.39/0.58 (step @p134 :rule reordering :premises (@p133) :args ((or @t76 @t85 @t88 (not @t89)))) % 0.39/0.58 (step @p135 :rule chain_m_resolution :premises (@p134 @p117 @p132 @p121) :args (@t88 @t80 (@list @t75 @t82 @t89))) % 0.39/0.58 (step @p136 :rule symm :premises (@p135)) % 0.39/0.58 (step @p137 :rule trans :premises (@p136 @p120)) % 0.39/0.58 (step @p138 :rule cong :premises (@p137) :args (@t90)) % 0.39/0.58 (step @p139 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.39/0.58 (step @p140 :rule cong :premises (@p139) :args (@t38)) % 0.39/0.58 (step @p141 :rule eq_resolve :premises (@p32 @p140)) % 0.39/0.58 (step @p142 :rule instantiate :premises (@p141) :args ((@list @t81))) % 0.39/0.58 (step @p143 :rule bool-double-not-elim :args (@t83)) % 0.39/0.58 (step @p144 :rule nary_cong :premises (@p127 @p143) :args ((or @t86 (not @t84)))) % 0.39/0.58 (step @p145 :rule cnf_or_neg :args (@t86 1)) % 0.39/0.58 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 0.39/0.58 (step @p147 :rule reordering :premises (@p146) :args ((or @t83 @t86))) % 0.39/0.58 (step @p148 :rule chain_m_resolution :premises (@p147 @p125) :args (@t83 @t72 @t87)) % 0.39/0.58 (step @p149 :rule cnf_or_pos :args (@t92)) % 0.39/0.58 (step @p150 :rule reordering :premises (@p149) :args ((or @t84 @t91 (not @t92)))) % 0.39/0.58 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p142) :args (@t91 @t62 (@list @t83 @t92))) % 0.39/0.58 (step @p152 :rule false_intro :premises (@p151)) % 0.39/0.58 (step @p153 :rule symm :premises (@p152)) % 0.39/0.58 (step @p154 :rule trans :premises (@p153 @p138 @p90)) % 0.39/0.58 (step @p155 false :rule eq_resolve :premises (@p154 @p40)) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------