%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS119+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 : n014.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 08:28:57 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS119+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 % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 05:28:13 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.ca_Ax2 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.i2003_11_14_17_21_44786 $$unsorted) % 0.37/0.57 (declare-const tptp.ca_Vx3 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.cp1xcomp (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t3 () (= @t2 @t1)) % 0.37/0.57 (define @t4 () (@list @t2 @t1)) % 0.37/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t6 () (@list @t2 @t1 @t5)) % 0.37/0.57 (define @t7 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t8 () (tptp.cowlThing @t7)) % 0.37/0.57 (define @t9 () (@list @t7)) % 0.37/0.57 (define @t10 () (tptp.cp1 @t7)) % 0.37/0.57 (define @t11 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t12 () (tptp.ca_Vx3 @t11)) % 0.37/0.57 (define @t13 () (tptp.rr @t7 @t11)) % 0.37/0.57 (define @t14 () (and @t13 @t12)) % 0.37/0.57 (define @t15 () (@list @t11)) % 0.37/0.57 (define @t16 () (exists @t15 @t14)) % 0.37/0.57 (define @t17 () (and @t16 @t10)) % 0.37/0.57 (define @t18 () (tptp.cUnsatisfiable @t7)) % 0.37/0.57 (define @t19 () (= @t18 @t17)) % 0.37/0.57 (define @t20 () (forall @t9 @t19)) % 0.37/0.57 (define @t21 () (tptp.ra_Px1 @t7 @t11)) % 0.37/0.57 (define @t22 () (exists @t15 @t21)) % 0.37/0.57 (define @t23 () (not @t22)) % 0.37/0.57 (define @t24 () (= @t10 @t23)) % 0.37/0.57 (define @t25 () (forall @t9 @t24)) % 0.37/0.57 (define @t26 () (@var "Y0" $$unsorted)) % 0.37/0.57 (define @t27 () (tptp.ra_Px1 @t7 @t26)) % 0.37/0.57 (define @t28 () (@list @t26)) % 0.37/0.57 (define @t29 () (exists @t28 @t27)) % 0.37/0.57 (define @t30 () (tptp.cp1xcomp @t7)) % 0.37/0.57 (define @t31 () (= @t30 @t29)) % 0.37/0.57 (define @t32 () (forall @t9 @t31)) % 0.37/0.57 (define @t33 () (tptp.cp1xcomp @t11)) % 0.37/0.57 (define @t34 () (tptp.rinvR @t7 @t11)) % 0.37/0.57 (define @t35 () (forall @t15 (=> @t34 @t33))) % 0.37/0.57 (define @t36 () (and @t10 @t35)) % 0.37/0.57 (define @t37 () (tptp.ca_Ax2 @t7)) % 0.37/0.57 (define @t38 () (= @t37 @t36)) % 0.37/0.57 (define @t39 () (forall @t9 @t38)) % 0.37/0.57 (define @t40 () (tptp.ca_Ax2 @t11)) % 0.37/0.57 (define @t41 () (and @t13 @t40)) % 0.37/0.57 (define @t42 () (exists @t15 @t41)) % 0.37/0.57 (define @t43 () (tptp.ca_Vx3 @t7)) % 0.37/0.57 (define @t44 () (= @t43 @t42)) % 0.37/0.57 (define @t45 () (forall @t9 @t44)) % 0.37/0.57 (define @t46 () (@var "Y1" $$unsorted)) % 0.37/0.57 (define @t47 () (@list @t7 @t11)) % 0.37/0.57 (define @t48 () (forall @t47 (= @t34 (tptp.rr @t11 @t7)))) % 0.37/0.57 (define @t49 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t50 () (tptp.rr @t7 @t49)) % 0.37/0.57 (define @t51 () (tptp.rr @t11 @t49)) % 0.37/0.57 (define @t52 () (and @t13 @t51)) % 0.37/0.57 (define @t53 () (forall (@list @t7 @t11 @t49) (=> @t52 @t50))) % 0.37/0.57 (define @t54 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_44786)) % 0.37/0.57 (define @t55 () (forall @t15 (or (not (tptp.rr tptp.i2003_11_14_17_21_44786 @t11)) (not @t12)))) % 0.37/0.57 (define @t56 () (@quantifiers_skolemize @t55 0)) % 0.37/0.57 (define @t57 () (forall @t15 (or (not (tptp.rr @t56 @t11)) (not @t40)))) % 0.37/0.57 (define @t58 () (@quantifiers_skolemize @t57 0)) % 0.37/0.57 (define @t59 () (forall @t15 (not @t41))) % 0.37/0.57 (define @t60 () (not @t59)) % 0.37/0.57 (define @t61 () (forall @t15 (not @t14))) % 0.37/0.57 (define @t62 () (not @t61)) % 0.37/0.57 (define @t63 () (@list tptp.i2003_11_14_17_21_44786)) % 0.37/0.57 (define @t64 () (tptp.cp1 tptp.i2003_11_14_17_21_44786)) % 0.37/0.57 (define @t65 () (not @t55)) % 0.37/0.57 (define @t66 () (and @t65 @t64)) % 0.37/0.57 (define @t67 () (= @t54 @t66)) % 0.37/0.57 (define @t68 () (@list false false)) % 0.37/0.57 (define @t69 () (not @t66)) % 0.37/0.57 (define @t70 () (@list false)) % 0.37/0.57 (define @t71 () (@list @t66)) % 0.37/0.57 (define @t72 () (tptp.ca_Vx3 @t56)) % 0.37/0.57 (define @t73 () (not @t72)) % 0.37/0.57 (define @t74 () (tptp.rr tptp.i2003_11_14_17_21_44786 @t56)) % 0.37/0.57 (define @t75 () (not @t74)) % 0.37/0.57 (define @t76 () (or @t75 @t73)) % 0.37/0.57 (define @t77 () (@list true)) % 0.37/0.57 (define @t78 () (@list @t76)) % 0.37/0.57 (define @t79 () (not @t57)) % 0.37/0.57 (define @t80 () (= @t72 @t79)) % 0.37/0.57 (define @t81 () (tptp.ca_Ax2 @t58)) % 0.37/0.57 (define @t82 () (not @t81)) % 0.37/0.57 (define @t83 () (tptp.rr @t56 @t58)) % 0.37/0.57 (define @t84 () (not @t83)) % 0.37/0.57 (define @t85 () (or @t84 @t82)) % 0.37/0.57 (define @t86 () (@list @t85)) % 0.37/0.57 (define @t87 () (forall @t15 (or (not (tptp.rinvR @t58 @t11)) @t33))) % 0.37/0.57 (define @t88 () (and (tptp.cp1 @t58) @t87)) % 0.37/0.57 (define @t89 () (= @t81 @t88)) % 0.37/0.57 (define @t90 () (tptp.rinvR @t58 tptp.i2003_11_14_17_21_44786)) % 0.37/0.57 (define @t91 () (tptp.rr tptp.i2003_11_14_17_21_44786 @t58)) % 0.37/0.57 (define @t92 () (= @t90 @t91)) % 0.37/0.57 (define @t93 () (= @t91 @t90)) % 0.37/0.57 (define @t94 () (not @t51)) % 0.37/0.57 (define @t95 () (not @t13)) % 0.37/0.57 (define @t96 () (or @t75 @t84 @t91)) % 0.37/0.57 (define @t97 () (@list false false false)) % 0.37/0.57 (define @t98 () (tptp.cp1xcomp tptp.i2003_11_14_17_21_44786)) % 0.37/0.57 (define @t99 () (not @t90)) % 0.37/0.57 (define @t100 () (or @t99 @t98)) % 0.37/0.57 (define @t101 () (forall @t15 (not @t21))) % 0.37/0.57 (define @t102 () (forall @t15 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_44786 @t11)))) % 0.37/0.57 (define @t103 () (= @t64 @t102)) % 0.37/0.57 (define @t104 () (forall @t28 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_44786 @t26)))) % 0.37/0.57 (define @t105 () (not @t104)) % 0.37/0.57 (define @t106 () (= @t98 @t105)) % 0.37/0.57 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.37/0.57 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Ax2 @t2)) (tptp.ca_Ax2 @t1)))) % 0.37/0.57 (assume @p3 (forall @t4 (=> (and @t3 (tptp.ca_Vx3 @t2)) (tptp.ca_Vx3 @t1)))) % 0.37/0.57 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.37/0.57 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.37/0.57 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.37/0.57 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cp1xcomp @t2)) (tptp.cp1xcomp @t1)))) % 0.37/0.57 (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.37/0.57 (assume @p9 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.37/0.57 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.37/0.57 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.37/0.57 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.37/0.57 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.37/0.57 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.37/0.57 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.37/0.57 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.37/0.57 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.37/0.57 (assume @p18 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.37/0.57 (assume @p19 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.37/0.57 (assume @p20 (forall @t9 (and @t8 (not (tptp.cowlNothing @t7))))) % 0.37/0.57 (assume @p21 (forall @t9 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.37/0.57 (assume @p22 @t20) % 0.37/0.57 (assume @p23 @t25) % 0.37/0.57 (assume @p24 @t32) % 0.37/0.57 (assume @p25 @t39) % 0.37/0.57 (assume @p26 @t45) % 0.37/0.57 (assume @p27 (forall @t9 (=> @t8 (forall (@list @t26 @t46) (=> (and (tptp.rf @t7 @t26) (tptp.rf @t7 @t46)) (= @t26 @t46)))))) % 0.37/0.57 (assume @p28 (forall @t47 (= (tptp.rinvF @t7 @t11) (tptp.rf @t11 @t7)))) % 0.37/0.57 (assume @p29 @t48) % 0.37/0.57 (assume @p30 @t53) % 0.37/0.57 (assume @p31 @t54) % 0.37/0.57 (step @p32 :rule bool-impl-elim :args (@t34 @t33)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32) :args (@t35)) % 0.37/0.57 (step @p34 :rule refl :args (@t10)) % 0.37/0.57 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t36)) % 0.37/0.57 (step @p36 :rule refl :args (@t37)) % 0.37/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args (@t38)) % 0.37/0.57 (step @p38 :rule cong :premises (@p37) :args (@t39)) % 0.37/0.57 (step @p39 :rule eq_resolve :premises (@p25 @p38)) % 0.37/0.57 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t58))) % 0.37/0.57 (step @p41 :rule bool-and-de-morgan :args (@t13 @t40 true)) % 0.37/0.57 (step @p42 :rule cong :premises (@p41) :args (@t59)) % 0.37/0.57 (step @p43 :rule cong :premises (@p42) :args (@t60)) % 0.37/0.57 (step @p44 :rule exists-elim :args ((= @t42 @t60))) % 0.37/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.57 (step @p46 :rule refl :args (@t43)) % 0.37/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args (@t44)) % 0.37/0.57 (step @p48 :rule cong :premises (@p47) :args (@t45)) % 0.37/0.57 (step @p49 :rule eq_resolve :premises (@p26 @p48)) % 0.37/0.57 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t56))) % 0.37/0.57 (step @p51 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51) :args (@t61)) % 0.37/0.57 (step @p53 :rule cong :premises (@p52) :args (@t62)) % 0.37/0.57 (step @p54 :rule exists-elim :args ((= @t16 @t62))) % 0.37/0.57 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.57 (step @p56 :rule nary_cong :premises (@p55 @p34) :args (@t17)) % 0.37/0.57 (step @p57 :rule refl :args (@t18)) % 0.37/0.57 (step @p58 :rule cong :premises (@p57 @p56) :args (@t19)) % 0.37/0.57 (step @p59 :rule cong :premises (@p58) :args (@t20)) % 0.37/0.57 (step @p60 :rule eq_resolve :premises (@p22 @p59)) % 0.37/0.57 (step @p61 :rule instantiate :premises (@p60) :args (@t63)) % 0.37/0.57 (step @p62 :rule cnf_equiv_pos1 :args (@t67)) % 0.37/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or (not @t54) @t66 (not @t67)))) % 0.37/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p31 @p61) :args (@t66 @t68 (@list @t54 @t67))) % 0.37/0.57 (step @p65 :rule cnf_and_pos :args (@t66 0)) % 0.37/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t65 @t69))) % 0.37/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p64) :args (@t65 @t70 @t71)) % 0.37/0.57 (step @p68 :rule skolemize :premises (@p67)) % 0.37/0.57 (step @p69 :rule bool-double-not-elim :args (@t72)) % 0.37/0.57 (step @p70 :rule refl :args (@t76)) % 0.37/0.57 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t76 (not @t73)))) % 0.37/0.57 (step @p72 :rule cnf_or_neg :args (@t76 1)) % 0.37/0.57 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.37/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t72 @t76))) % 0.37/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p68) :args (@t72 @t77 @t78)) % 0.37/0.57 (step @p76 :rule cnf_equiv_pos1 :args (@t80)) % 0.37/0.57 (step @p77 :rule reordering :premises (@p76) :args ((or @t73 @t79 (not @t80)))) % 0.37/0.57 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p50) :args (@t79 @t68 (@list @t72 @t80))) % 0.37/0.57 (step @p79 :rule skolemize :premises (@p78)) % 0.37/0.57 (step @p80 :rule bool-double-not-elim :args (@t81)) % 0.37/0.57 (step @p81 :rule refl :args (@t85)) % 0.37/0.57 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t85 (not @t82)))) % 0.37/0.57 (step @p83 :rule cnf_or_neg :args (@t85 1)) % 0.37/0.57 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.37/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or @t81 @t85))) % 0.37/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p79) :args (@t81 @t77 @t86)) % 0.37/0.57 (step @p87 :rule cnf_equiv_pos1 :args (@t89)) % 0.37/0.57 (step @p88 :rule reordering :premises (@p87) :args ((or @t82 @t88 (not @t89)))) % 0.37/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p40) :args (@t88 @t68 (@list @t81 @t89))) % 0.37/0.57 (step @p90 :rule cnf_and_pos :args (@t88 1)) % 0.37/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t87 (not @t88)))) % 0.37/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p89) :args (@t87 @t70 (@list @t88))) % 0.37/0.57 (step @p93 :rule instantiate :premises (@p92) :args (@t63)) % 0.37/0.57 (step @p94 :rule eq-symm :args (@t90 @t91)) % 0.37/0.57 (step @p95 :rule refl :args (@t48)) % 0.37/0.57 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t48 @t92))) % 0.37/0.57 (assume-push @p161 @t48) % 0.37/0.57 (step @p98 :rule instantiate :premises (@p29) :args ((@list @t58 tptp.i2003_11_14_17_21_44786))) % 0.37/0.57 (step-pop @p162 :rule scope :premises (@p98)) % 0.37/0.57 (step @p99 :rule process_scope :premises (@p162) :args (@t92)) % 0.37/0.57 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.37/0.57 (step @p102 :rule implies_elim :premises (@p101)) % 0.37/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p29) :args (@t93 @t70 (@list @t48))) % 0.37/0.57 (step @p104 :rule aci_norm :args ((= (or (or @t95 @t94) @t50) (or @t95 @t94 @t50)))) % 0.37/0.57 (step @p105 :rule refl :args (@t50)) % 0.37/0.57 (step @p106 :rule bool-and-de-morgan :args (@t13 @t51 true)) % 0.37/0.57 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or (not @t52) @t50))) % 0.37/0.57 (step @p108 :rule trans :premises (@p107 @p104)) % 0.37/0.57 (step @p109 :rule bool-impl-elim :args (@t52 @t50)) % 0.37/0.57 (step @p110 :rule trans :premises (@p109 @p108)) % 0.37/0.57 (step @p111 :rule cong :premises (@p110) :args (@t53)) % 0.37/0.57 (step @p112 :rule eq_resolve :premises (@p30 @p111)) % 0.37/0.57 (step @p113 :rule instantiate :premises (@p112) :args ((@list tptp.i2003_11_14_17_21_44786 @t56 @t58))) % 0.37/0.57 (step @p114 :rule bool-double-not-elim :args (@t83)) % 0.37/0.57 (step @p115 :rule nary_cong :premises (@p81 @p114) :args ((or @t85 (not @t84)))) % 0.37/0.57 (step @p116 :rule cnf_or_neg :args (@t85 0)) % 0.37/0.57 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.37/0.57 (step @p118 :rule reordering :premises (@p117) :args ((or @t83 @t85))) % 0.37/0.57 (step @p119 :rule chain_m_resolution :premises (@p118 @p79) :args (@t83 @t77 @t86)) % 0.37/0.57 (step @p120 :rule bool-double-not-elim :args (@t74)) % 0.37/0.57 (step @p121 :rule nary_cong :premises (@p70 @p120) :args ((or @t76 (not @t75)))) % 0.37/0.57 (step @p122 :rule cnf_or_neg :args (@t76 0)) % 0.37/0.57 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.37/0.57 (step @p124 :rule reordering :premises (@p123) :args ((or @t74 @t76))) % 0.37/0.57 (step @p125 :rule chain_m_resolution :premises (@p124 @p68) :args (@t74 @t77 @t78)) % 0.37/0.57 (step @p126 :rule cnf_or_pos :args (@t96)) % 0.37/0.57 (step @p127 :rule reordering :premises (@p126) :args ((or @t75 @t84 @t91 (not @t96)))) % 0.37/0.57 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p119 @p113) :args (@t91 @t97 (@list @t74 @t83 @t96))) % 0.37/0.57 (step @p129 :rule cnf_equiv_pos1 :args (@t93)) % 0.37/0.57 (step @p130 :rule reordering :premises (@p129) :args ((or (not @t91) @t90 (not @t93)))) % 0.37/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p103) :args (@t90 @t68 (@list @t91 @t93))) % 0.37/0.57 (step @p132 :rule cnf_or_pos :args (@t100)) % 0.37/0.57 (step @p133 :rule reordering :premises (@p132) :args ((or @t99 @t98 (not @t100)))) % 0.37/0.57 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p93) :args (@t98 @t68 (@list @t90 @t100))) % 0.37/0.57 (step @p135 :rule bool-double-not-elim :args (@t101)) % 0.37/0.57 (step @p136 :rule exists-elim :args ((= @t22 (not @t101)))) % 0.37/0.57 (step @p137 :rule cong :premises (@p136) :args (@t23)) % 0.37/0.57 (step @p138 :rule trans :premises (@p137 @p135)) % 0.37/0.57 (step @p139 :rule cong :premises (@p34 @p138) :args (@t24)) % 0.37/0.57 (step @p140 :rule cong :premises (@p139) :args (@t25)) % 0.37/0.57 (step @p141 :rule eq_resolve :premises (@p23 @p140)) % 0.37/0.57 (step @p142 :rule instantiate :premises (@p141) :args (@t63)) % 0.37/0.57 (step @p143 :rule cnf_and_pos :args (@t66 1)) % 0.37/0.57 (step @p144 :rule reordering :premises (@p143) :args ((or @t64 @t69))) % 0.37/0.57 (step @p145 :rule chain_m_resolution :premises (@p144 @p64) :args (@t64 @t70 @t71)) % 0.37/0.57 (step @p146 :rule cnf_equiv_pos1 :args (@t103)) % 0.37/0.57 (step @p147 :rule reordering :premises (@p146) :args ((or (not @t64) @t102 (not @t103)))) % 0.37/0.57 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p142) :args (@t102 @t68 (@list @t64 @t103))) % 0.37/0.57 (step @p149 :rule alpha_equiv :args (@t102 (@list @t11) (@list @t26))) % 0.37/0.57 (step @p150 :rule equiv_elim1 :premises (@p149)) % 0.37/0.57 (step @p151 :rule chain_m_resolution :premises (@p150 @p148) :args (@t104 @t70 (@list @t102))) % 0.37/0.57 (step @p152 :rule exists-elim :args ((= @t29 (not (forall @t28 (not @t27)))))) % 0.37/0.57 (step @p153 :rule refl :args (@t30)) % 0.37/0.57 (step @p154 :rule cong :premises (@p153 @p152) :args (@t31)) % 0.37/0.57 (step @p155 :rule cong :premises (@p154) :args (@t32)) % 0.37/0.57 (step @p156 :rule eq_resolve :premises (@p24 @p155)) % 0.37/0.57 (step @p157 :rule instantiate :premises (@p156) :args (@t63)) % 0.37/0.57 (step @p158 :rule cnf_equiv_pos1 :args (@t106)) % 0.37/0.57 (step @p159 :rule reordering :premises (@p158) :args ((or (not @t98) @t105 (not @t106)))) % 0.37/0.57 (step @p160 false :rule chain_m_resolution :premises (@p159 @p157 @p151 @p134) :args (false @t97 (@list @t106 @t104 @t98))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------