%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS121+1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:28:58 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS121+1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:28:43 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.i2003_11_14_17_21_5199 $$unsorted) % 0.38/0.57 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ca_Ax2 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ca_Vx3 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cp1xcomp (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t3 () (= @t2 @t1)) % 0.38/0.57 (define @t4 () (@list @t2 @t1)) % 0.38/0.57 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t6 () (@list @t2 @t1 @t5)) % 0.38/0.57 (define @t7 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t8 () (@list @t7)) % 0.38/0.57 (define @t9 () (tptp.cp1 @t7)) % 0.38/0.57 (define @t10 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t11 () (tptp.ca_Vx3 @t10)) % 0.38/0.57 (define @t12 () (tptp.rr @t7 @t10)) % 0.38/0.57 (define @t13 () (and @t12 @t11)) % 0.38/0.57 (define @t14 () (@list @t10)) % 0.38/0.57 (define @t15 () (exists @t14 @t13)) % 0.38/0.57 (define @t16 () (and @t15 @t9)) % 0.38/0.57 (define @t17 () (tptp.cUnsatisfiable @t7)) % 0.38/0.57 (define @t18 () (= @t17 @t16)) % 0.38/0.57 (define @t19 () (forall @t8 @t18)) % 0.38/0.57 (define @t20 () (tptp.ra_Px1 @t7 @t10)) % 0.38/0.57 (define @t21 () (exists @t14 @t20)) % 0.38/0.57 (define @t22 () (not @t21)) % 0.38/0.57 (define @t23 () (= @t9 @t22)) % 0.38/0.57 (define @t24 () (forall @t8 @t23)) % 0.38/0.57 (define @t25 () (@var "Y0" $$unsorted)) % 0.38/0.57 (define @t26 () (tptp.ra_Px1 @t7 @t25)) % 0.38/0.57 (define @t27 () (@list @t25)) % 0.38/0.57 (define @t28 () (exists @t27 @t26)) % 0.38/0.57 (define @t29 () (tptp.cp1xcomp @t7)) % 0.38/0.57 (define @t30 () (= @t29 @t28)) % 0.38/0.57 (define @t31 () (forall @t8 @t30)) % 0.38/0.57 (define @t32 () (tptp.cp1xcomp @t10)) % 0.38/0.57 (define @t33 () (tptp.rinvR @t7 @t10)) % 0.38/0.57 (define @t34 () (forall @t14 (=> @t33 @t32))) % 0.38/0.57 (define @t35 () (and @t9 @t34)) % 0.38/0.57 (define @t36 () (tptp.ca_Ax2 @t7)) % 0.38/0.57 (define @t37 () (= @t36 @t35)) % 0.38/0.57 (define @t38 () (forall @t8 @t37)) % 0.38/0.57 (define @t39 () (tptp.ca_Ax2 @t10)) % 0.38/0.57 (define @t40 () (and @t12 @t39)) % 0.38/0.57 (define @t41 () (exists @t14 @t40)) % 0.38/0.57 (define @t42 () (tptp.ca_Vx3 @t7)) % 0.38/0.57 (define @t43 () (= @t42 @t41)) % 0.38/0.57 (define @t44 () (forall @t8 @t43)) % 0.38/0.57 (define @t45 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t46 () (@list @t7 @t10 @t45)) % 0.38/0.57 (define @t47 () (@list @t7 @t10)) % 0.38/0.57 (define @t48 () (forall @t47 (= @t33 (tptp.rr @t10 @t7)))) % 0.38/0.57 (define @t49 () (tptp.rr @t7 @t45)) % 0.38/0.57 (define @t50 () (tptp.rr @t10 @t45)) % 0.38/0.57 (define @t51 () (and @t12 @t50)) % 0.38/0.57 (define @t52 () (forall @t46 (=> @t51 @t49))) % 0.38/0.57 (define @t53 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_5199)) % 0.38/0.57 (define @t54 () (forall @t14 (or (not (tptp.rr tptp.i2003_11_14_17_21_5199 @t10)) (not @t11)))) % 0.38/0.57 (define @t55 () (@quantifiers_skolemize @t54 0)) % 0.38/0.57 (define @t56 () (forall @t14 (or (not (tptp.rr @t55 @t10)) (not @t39)))) % 0.38/0.57 (define @t57 () (@quantifiers_skolemize @t56 0)) % 0.38/0.57 (define @t58 () (forall @t14 (not @t40))) % 0.38/0.57 (define @t59 () (not @t58)) % 0.38/0.57 (define @t60 () (forall @t14 (not @t13))) % 0.38/0.57 (define @t61 () (not @t60)) % 0.38/0.57 (define @t62 () (@list tptp.i2003_11_14_17_21_5199)) % 0.38/0.57 (define @t63 () (tptp.cp1 tptp.i2003_11_14_17_21_5199)) % 0.38/0.57 (define @t64 () (not @t54)) % 0.38/0.57 (define @t65 () (and @t64 @t63)) % 0.38/0.57 (define @t66 () (= @t53 @t65)) % 0.38/0.57 (define @t67 () (@list false false)) % 0.38/0.57 (define @t68 () (not @t65)) % 0.38/0.57 (define @t69 () (@list false)) % 0.38/0.57 (define @t70 () (@list @t65)) % 0.38/0.57 (define @t71 () (tptp.ca_Vx3 @t55)) % 0.38/0.57 (define @t72 () (not @t71)) % 0.38/0.57 (define @t73 () (tptp.rr tptp.i2003_11_14_17_21_5199 @t55)) % 0.38/0.57 (define @t74 () (not @t73)) % 0.38/0.57 (define @t75 () (or @t74 @t72)) % 0.38/0.57 (define @t76 () (@list true)) % 0.38/0.57 (define @t77 () (@list @t75)) % 0.38/0.57 (define @t78 () (not @t56)) % 0.38/0.57 (define @t79 () (= @t71 @t78)) % 0.38/0.57 (define @t80 () (tptp.ca_Ax2 @t57)) % 0.38/0.57 (define @t81 () (not @t80)) % 0.38/0.57 (define @t82 () (tptp.rr @t55 @t57)) % 0.38/0.57 (define @t83 () (not @t82)) % 0.38/0.57 (define @t84 () (or @t83 @t81)) % 0.38/0.57 (define @t85 () (@list @t84)) % 0.38/0.57 (define @t86 () (forall @t14 (or (not (tptp.rinvR @t57 @t10)) @t32))) % 0.38/0.57 (define @t87 () (and (tptp.cp1 @t57) @t86)) % 0.38/0.57 (define @t88 () (= @t80 @t87)) % 0.38/0.57 (define @t89 () (tptp.rinvR @t57 tptp.i2003_11_14_17_21_5199)) % 0.38/0.57 (define @t90 () (tptp.rr tptp.i2003_11_14_17_21_5199 @t57)) % 0.38/0.57 (define @t91 () (= @t89 @t90)) % 0.38/0.57 (define @t92 () (= @t90 @t89)) % 0.38/0.57 (define @t93 () (not @t50)) % 0.38/0.57 (define @t94 () (not @t12)) % 0.38/0.57 (define @t95 () (or @t74 @t83 @t90)) % 0.38/0.57 (define @t96 () (@list false false false)) % 0.38/0.57 (define @t97 () (tptp.cp1xcomp tptp.i2003_11_14_17_21_5199)) % 0.38/0.57 (define @t98 () (not @t89)) % 0.38/0.57 (define @t99 () (or @t98 @t97)) % 0.38/0.57 (define @t100 () (forall @t14 (not @t20))) % 0.38/0.57 (define @t101 () (forall @t14 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_5199 @t10)))) % 0.38/0.57 (define @t102 () (= @t63 @t101)) % 0.38/0.57 (define @t103 () (forall @t27 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_5199 @t25)))) % 0.38/0.57 (define @t104 () (not @t103)) % 0.38/0.57 (define @t105 () (= @t97 @t104)) % 0.38/0.57 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.38/0.57 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Ax2 @t2)) (tptp.ca_Ax2 @t1)))) % 0.38/0.57 (assume @p3 (forall @t4 (=> (and @t3 (tptp.ca_Vx3 @t2)) (tptp.ca_Vx3 @t1)))) % 0.38/0.57 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.38/0.57 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.38/0.57 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.38/0.57 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cp1xcomp @t2)) (tptp.cp1xcomp @t1)))) % 0.38/0.57 (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.38/0.57 (assume @p9 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.38/0.57 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.38/0.57 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.38/0.57 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.38/0.57 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.38/0.57 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.38/0.57 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.38/0.57 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.38/0.57 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.38/0.57 (assume @p18 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.38/0.57 (assume @p19 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.38/0.57 (assume @p20 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.38/0.57 (assume @p21 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.38/0.57 (assume @p22 @t19) % 0.38/0.57 (assume @p23 @t24) % 0.38/0.57 (assume @p24 @t31) % 0.38/0.57 (assume @p25 @t38) % 0.38/0.57 (assume @p26 @t44) % 0.38/0.57 (assume @p27 (forall @t46 (=> (and (tptp.rf @t7 @t10) (tptp.rf @t7 @t45)) (= @t10 @t45)))) % 0.38/0.57 (assume @p28 (forall @t47 (= (tptp.rinvF @t7 @t10) (tptp.rf @t10 @t7)))) % 0.38/0.57 (assume @p29 @t48) % 0.38/0.57 (assume @p30 @t52) % 0.38/0.57 (assume @p31 @t53) % 0.38/0.57 (step @p32 :rule bool-impl-elim :args (@t33 @t32)) % 0.38/0.57 (step @p33 :rule cong :premises (@p32) :args (@t34)) % 0.38/0.57 (step @p34 :rule refl :args (@t9)) % 0.38/0.57 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t35)) % 0.38/0.57 (step @p36 :rule refl :args (@t36)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args (@t37)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args (@t38)) % 0.38/0.57 (step @p39 :rule eq_resolve :premises (@p25 @p38)) % 0.38/0.57 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t57))) % 0.38/0.57 (step @p41 :rule bool-and-de-morgan :args (@t12 @t39 true)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41) :args (@t58)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42) :args (@t59)) % 0.38/0.57 (step @p44 :rule exists-elim :args ((= @t41 @t59))) % 0.38/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.57 (step @p46 :rule refl :args (@t42)) % 0.38/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args (@t43)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47) :args (@t44)) % 0.38/0.57 (step @p49 :rule eq_resolve :premises (@p26 @p48)) % 0.38/0.57 (step @p50 :rule instantiate :premises (@p49) :args ((@list @t55))) % 0.38/0.57 (step @p51 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51) :args (@t60)) % 0.38/0.57 (step @p53 :rule cong :premises (@p52) :args (@t61)) % 0.38/0.57 (step @p54 :rule exists-elim :args ((= @t15 @t61))) % 0.38/0.57 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.57 (step @p56 :rule nary_cong :premises (@p55 @p34) :args (@t16)) % 0.38/0.57 (step @p57 :rule refl :args (@t17)) % 0.38/0.57 (step @p58 :rule cong :premises (@p57 @p56) :args (@t18)) % 0.38/0.57 (step @p59 :rule cong :premises (@p58) :args (@t19)) % 0.38/0.57 (step @p60 :rule eq_resolve :premises (@p22 @p59)) % 0.38/0.57 (step @p61 :rule instantiate :premises (@p60) :args (@t62)) % 0.38/0.57 (step @p62 :rule cnf_equiv_pos1 :args (@t66)) % 0.38/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or (not @t53) @t65 (not @t66)))) % 0.38/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p31 @p61) :args (@t65 @t67 (@list @t53 @t66))) % 0.38/0.57 (step @p65 :rule cnf_and_pos :args (@t65 0)) % 0.38/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t64 @t68))) % 0.38/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p64) :args (@t64 @t69 @t70)) % 0.38/0.57 (step @p68 :rule skolemize :premises (@p67)) % 0.38/0.57 (step @p69 :rule bool-double-not-elim :args (@t71)) % 0.38/0.57 (step @p70 :rule refl :args (@t75)) % 0.38/0.57 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t75 (not @t72)))) % 0.38/0.57 (step @p72 :rule cnf_or_neg :args (@t75 1)) % 0.38/0.57 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.38/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t71 @t75))) % 0.38/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p68) :args (@t71 @t76 @t77)) % 0.38/0.57 (step @p76 :rule cnf_equiv_pos1 :args (@t79)) % 0.38/0.57 (step @p77 :rule reordering :premises (@p76) :args ((or @t72 @t78 (not @t79)))) % 0.38/0.57 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p50) :args (@t78 @t67 (@list @t71 @t79))) % 0.38/0.57 (step @p79 :rule skolemize :premises (@p78)) % 0.38/0.57 (step @p80 :rule bool-double-not-elim :args (@t80)) % 0.38/0.57 (step @p81 :rule refl :args (@t84)) % 0.38/0.57 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t84 (not @t81)))) % 0.38/0.57 (step @p83 :rule cnf_or_neg :args (@t84 1)) % 0.38/0.57 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.38/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or @t80 @t84))) % 0.38/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p79) :args (@t80 @t76 @t85)) % 0.38/0.57 (step @p87 :rule cnf_equiv_pos1 :args (@t88)) % 0.38/0.57 (step @p88 :rule reordering :premises (@p87) :args ((or @t81 @t87 (not @t88)))) % 0.38/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p40) :args (@t87 @t67 (@list @t80 @t88))) % 0.38/0.57 (step @p90 :rule cnf_and_pos :args (@t87 1)) % 0.38/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t86 (not @t87)))) % 0.38/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p89) :args (@t86 @t69 (@list @t87))) % 0.38/0.57 (step @p93 :rule instantiate :premises (@p92) :args (@t62)) % 0.38/0.57 (step @p94 :rule eq-symm :args (@t89 @t90)) % 0.38/0.57 (step @p95 :rule refl :args (@t48)) % 0.38/0.57 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t48 @t91))) % 0.38/0.57 (assume-push @p161 @t48) % 0.38/0.57 (step @p98 :rule instantiate :premises (@p29) :args ((@list @t57 tptp.i2003_11_14_17_21_5199))) % 0.38/0.57 (step-pop @p162 :rule scope :premises (@p98)) % 0.38/0.57 (step @p99 :rule process_scope :premises (@p162) :args (@t91)) % 0.38/0.57 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.38/0.57 (step @p102 :rule implies_elim :premises (@p101)) % 0.38/0.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p29) :args (@t92 @t69 (@list @t48))) % 0.38/0.57 (step @p104 :rule aci_norm :args ((= (or (or @t94 @t93) @t49) (or @t94 @t93 @t49)))) % 0.38/0.57 (step @p105 :rule refl :args (@t49)) % 0.38/0.57 (step @p106 :rule bool-and-de-morgan :args (@t12 @t50 true)) % 0.38/0.57 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or (not @t51) @t49))) % 0.38/0.57 (step @p108 :rule trans :premises (@p107 @p104)) % 0.38/0.57 (step @p109 :rule bool-impl-elim :args (@t51 @t49)) % 0.38/0.57 (step @p110 :rule trans :premises (@p109 @p108)) % 0.38/0.57 (step @p111 :rule cong :premises (@p110) :args (@t52)) % 0.38/0.57 (step @p112 :rule eq_resolve :premises (@p30 @p111)) % 0.38/0.57 (step @p113 :rule instantiate :premises (@p112) :args ((@list tptp.i2003_11_14_17_21_5199 @t55 @t57))) % 0.38/0.57 (step @p114 :rule bool-double-not-elim :args (@t82)) % 0.38/0.57 (step @p115 :rule nary_cong :premises (@p81 @p114) :args ((or @t84 (not @t83)))) % 0.38/0.57 (step @p116 :rule cnf_or_neg :args (@t84 0)) % 0.38/0.57 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.38/0.57 (step @p118 :rule reordering :premises (@p117) :args ((or @t82 @t84))) % 0.38/0.57 (step @p119 :rule chain_m_resolution :premises (@p118 @p79) :args (@t82 @t76 @t85)) % 0.38/0.57 (step @p120 :rule bool-double-not-elim :args (@t73)) % 0.38/0.57 (step @p121 :rule nary_cong :premises (@p70 @p120) :args ((or @t75 (not @t74)))) % 0.38/0.57 (step @p122 :rule cnf_or_neg :args (@t75 0)) % 0.38/0.57 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.38/0.57 (step @p124 :rule reordering :premises (@p123) :args ((or @t73 @t75))) % 0.38/0.57 (step @p125 :rule chain_m_resolution :premises (@p124 @p68) :args (@t73 @t76 @t77)) % 0.38/0.57 (step @p126 :rule cnf_or_pos :args (@t95)) % 0.38/0.57 (step @p127 :rule reordering :premises (@p126) :args ((or @t74 @t83 @t90 (not @t95)))) % 0.38/0.57 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p119 @p113) :args (@t90 @t96 (@list @t73 @t82 @t95))) % 0.38/0.57 (step @p129 :rule cnf_equiv_pos1 :args (@t92)) % 0.38/0.57 (step @p130 :rule reordering :premises (@p129) :args ((or (not @t90) @t89 (not @t92)))) % 0.38/0.57 (step @p131 :rule chain_m_resolution :premises (@p130 @p128 @p103) :args (@t89 @t67 (@list @t90 @t92))) % 0.38/0.57 (step @p132 :rule cnf_or_pos :args (@t99)) % 0.38/0.57 (step @p133 :rule reordering :premises (@p132) :args ((or @t98 @t97 (not @t99)))) % 0.38/0.57 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p93) :args (@t97 @t67 (@list @t89 @t99))) % 0.38/0.57 (step @p135 :rule bool-double-not-elim :args (@t100)) % 0.38/0.57 (step @p136 :rule exists-elim :args ((= @t21 (not @t100)))) % 0.38/0.57 (step @p137 :rule cong :premises (@p136) :args (@t22)) % 0.38/0.57 (step @p138 :rule trans :premises (@p137 @p135)) % 0.38/0.57 (step @p139 :rule cong :premises (@p34 @p138) :args (@t23)) % 0.38/0.57 (step @p140 :rule cong :premises (@p139) :args (@t24)) % 0.38/0.57 (step @p141 :rule eq_resolve :premises (@p23 @p140)) % 0.38/0.57 (step @p142 :rule instantiate :premises (@p141) :args (@t62)) % 0.38/0.57 (step @p143 :rule cnf_and_pos :args (@t65 1)) % 0.38/0.57 (step @p144 :rule reordering :premises (@p143) :args ((or @t63 @t68))) % 0.38/0.57 (step @p145 :rule chain_m_resolution :premises (@p144 @p64) :args (@t63 @t69 @t70)) % 0.38/0.57 (step @p146 :rule cnf_equiv_pos1 :args (@t102)) % 0.38/0.57 (step @p147 :rule reordering :premises (@p146) :args ((or (not @t63) @t101 (not @t102)))) % 0.38/0.57 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p142) :args (@t101 @t67 (@list @t63 @t102))) % 0.38/0.57 (step @p149 :rule alpha_equiv :args (@t101 (@list @t10) (@list @t25))) % 0.38/0.57 (step @p150 :rule equiv_elim1 :premises (@p149)) % 0.38/0.57 (step @p151 :rule chain_m_resolution :premises (@p150 @p148) :args (@t103 @t69 (@list @t101))) % 0.38/0.57 (step @p152 :rule exists-elim :args ((= @t28 (not (forall @t27 (not @t26)))))) % 0.38/0.57 (step @p153 :rule refl :args (@t29)) % 0.38/0.57 (step @p154 :rule cong :premises (@p153 @p152) :args (@t30)) % 0.38/0.57 (step @p155 :rule cong :premises (@p154) :args (@t31)) % 0.38/0.57 (step @p156 :rule eq_resolve :premises (@p24 @p155)) % 0.38/0.57 (step @p157 :rule instantiate :premises (@p156) :args (@t62)) % 0.38/0.57 (step @p158 :rule cnf_equiv_pos1 :args (@t105)) % 0.38/0.57 (step @p159 :rule reordering :premises (@p158) :args ((or (not @t97) @t104 (not @t105)))) % 0.38/0.57 (step @p160 false :rule chain_m_resolution :premises (@p159 @p157 @p151 @p134) :args (false @t96 (@list @t105 @t103 @t97))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------