%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS118+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 : n006.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 0.38s 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 : KRS118+1 : TPTP v9.2.1. Released v3.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 05:27:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Unsatisfiable % 0.38/0.58 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.i2003_11_14_17_21_4056 $$unsorted) % 0.38/0.60 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.ca_Vx3 (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.ccxcomp (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.60 (define @t2 () (@var "A" $$unsorted)) % 0.38/0.60 (define @t3 () (= @t2 @t1)) % 0.38/0.60 (define @t4 () (@list @t2 @t1)) % 0.38/0.60 (define @t5 () (@var "C" $$unsorted)) % 0.38/0.60 (define @t6 () (@list @t2 @t1 @t5)) % 0.38/0.60 (define @t7 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t8 () (@list @t7)) % 0.38/0.60 (define @t9 () (tptp.ccxcomp @t7)) % 0.38/0.60 (define @t10 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t11 () (tptp.cd @t10)) % 0.38/0.60 (define @t12 () (tptp.rinvF @t7 @t10)) % 0.38/0.60 (define @t13 () (and @t12 @t11)) % 0.38/0.60 (define @t14 () (@list @t10)) % 0.38/0.60 (define @t15 () (exists @t14 @t13)) % 0.38/0.60 (define @t16 () (tptp.ca_Vx3 @t10)) % 0.38/0.60 (define @t17 () (tptp.rinvR @t7 @t10)) % 0.38/0.60 (define @t18 () (forall @t14 (=> @t17 @t16))) % 0.38/0.60 (define @t19 () (and @t18 @t15 @t9)) % 0.38/0.60 (define @t20 () (tptp.cUnsatisfiable @t7)) % 0.38/0.60 (define @t21 () (= @t20 @t19)) % 0.38/0.60 (define @t22 () (forall @t8 @t21)) % 0.38/0.60 (define @t23 () (tptp.ra_Px1 @t7 @t10)) % 0.38/0.60 (define @t24 () (exists @t14 @t23)) % 0.38/0.60 (define @t25 () (not @t24)) % 0.38/0.60 (define @t26 () (tptp.cc @t7)) % 0.38/0.60 (define @t27 () (= @t26 @t25)) % 0.38/0.60 (define @t28 () (forall @t8 @t27)) % 0.38/0.60 (define @t29 () (@var "Y0" $$unsorted)) % 0.38/0.60 (define @t30 () (tptp.ra_Px1 @t7 @t29)) % 0.38/0.60 (define @t31 () (@list @t29)) % 0.38/0.60 (define @t32 () (exists @t31 @t30)) % 0.38/0.60 (define @t33 () (= @t9 @t32)) % 0.38/0.60 (define @t34 () (forall @t8 @t33)) % 0.38/0.60 (define @t35 () (tptp.ccxcomp @t10)) % 0.38/0.60 (define @t36 () (tptp.rf @t7 @t10)) % 0.38/0.60 (define @t37 () (and @t36 @t35)) % 0.38/0.60 (define @t38 () (exists @t14 @t37)) % 0.38/0.60 (define @t39 () (and @t38 @t26)) % 0.38/0.60 (define @t40 () (tptp.cd @t7)) % 0.38/0.60 (define @t41 () (= @t40 @t39)) % 0.38/0.60 (define @t42 () (forall @t8 @t41)) % 0.38/0.60 (define @t43 () (tptp.ca_Vx3 @t7)) % 0.38/0.60 (define @t44 () (forall @t8 (= @t43 @t15))) % 0.38/0.60 (define @t45 () (@var "Z" $$unsorted)) % 0.38/0.60 (define @t46 () (= @t10 @t45)) % 0.38/0.60 (define @t47 () (tptp.rf @t7 @t45)) % 0.38/0.60 (define @t48 () (and @t36 @t47)) % 0.38/0.60 (define @t49 () (@list @t7 @t10 @t45)) % 0.38/0.60 (define @t50 () (forall @t49 (=> @t48 @t46))) % 0.38/0.60 (define @t51 () (@list @t7 @t10)) % 0.38/0.60 (define @t52 () (forall @t51 (= @t17 (tptp.rr @t10 @t7)))) % 0.38/0.60 (define @t53 () (tptp.rr @t7 @t10)) % 0.38/0.60 (define @t54 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_4056)) % 0.38/0.60 (define @t55 () (forall @t51 (=> @t36 @t53))) % 0.38/0.60 (define @t56 () (forall @t14 (not @t23))) % 0.38/0.60 (define @t57 () (not @t11)) % 0.38/0.60 (define @t58 () (forall @t14 (or (not (tptp.rinvF tptp.i2003_11_14_17_21_4056 @t10)) @t57))) % 0.38/0.60 (define @t59 () (@quantifiers_skolemize @t58 0)) % 0.38/0.60 (define @t60 () (@list @t59)) % 0.38/0.60 (define @t61 () (forall @t14 (not @t37))) % 0.38/0.60 (define @t62 () (not @t61)) % 0.38/0.60 (define @t63 () (forall @t14 (not @t13))) % 0.38/0.60 (define @t64 () (not @t63)) % 0.38/0.60 (define @t65 () (not @t58)) % 0.38/0.60 (define @t66 () (forall @t14 (or (not (tptp.rinvR tptp.i2003_11_14_17_21_4056 @t10)) @t16))) % 0.38/0.60 (define @t67 () (and @t66 @t65 (tptp.ccxcomp tptp.i2003_11_14_17_21_4056))) % 0.38/0.60 (define @t68 () (= @t54 @t67)) % 0.38/0.60 (define @t69 () (@list false false)) % 0.38/0.60 (define @t70 () (not @t67)) % 0.38/0.60 (define @t71 () (@list false)) % 0.38/0.60 (define @t72 () (@list @t67)) % 0.38/0.60 (define @t73 () (tptp.cd @t59)) % 0.38/0.60 (define @t74 () (not @t73)) % 0.38/0.60 (define @t75 () (tptp.rinvF tptp.i2003_11_14_17_21_4056 @t59)) % 0.38/0.60 (define @t76 () (not @t75)) % 0.38/0.60 (define @t77 () (or @t76 @t74)) % 0.38/0.60 (define @t78 () (@list true)) % 0.38/0.60 (define @t79 () (@list @t77)) % 0.38/0.60 (define @t80 () (tptp.cc @t59)) % 0.38/0.60 (define @t81 () (not @t35)) % 0.38/0.60 (define @t82 () (and (not (forall @t14 (or (not (tptp.rf @t59 @t10)) @t81))) @t80)) % 0.38/0.60 (define @t83 () (= @t73 @t82)) % 0.38/0.60 (define @t84 () (forall @t14 (not (tptp.ra_Px1 @t59 @t10)))) % 0.38/0.60 (define @t85 () (= @t80 @t84)) % 0.38/0.60 (define @t86 () (forall @t14 (or (not (tptp.rinvF @t59 @t10)) @t57))) % 0.38/0.60 (define @t87 () (@quantifiers_skolemize @t86 0)) % 0.38/0.60 (define @t88 () (forall @t14 (or (not (tptp.rf @t87 @t10)) @t81))) % 0.38/0.60 (define @t89 () (@quantifiers_skolemize @t88 0)) % 0.38/0.60 (define @t90 () (forall @t31 (not (tptp.ra_Px1 @t89 @t29)))) % 0.38/0.60 (define @t91 () (@quantifiers_skolemize @t90 0)) % 0.38/0.60 (define @t92 () (not @t47)) % 0.38/0.60 (define @t93 () (not @t36)) % 0.38/0.60 (define @t94 () (tptp.rinvR tptp.i2003_11_14_17_21_4056 @t59)) % 0.38/0.60 (define @t95 () (tptp.rr @t59 tptp.i2003_11_14_17_21_4056)) % 0.38/0.60 (define @t96 () (= @t94 @t95)) % 0.38/0.60 (define @t97 () (@list tptp.i2003_11_14_17_21_4056 @t59)) % 0.38/0.60 (define @t98 () (= @t95 @t94)) % 0.38/0.60 (define @t99 () (tptp.rf @t59 tptp.i2003_11_14_17_21_4056)) % 0.38/0.60 (define @t100 () (= @t75 @t99)) % 0.38/0.60 (define @t101 () (not @t99)) % 0.38/0.60 (define @t102 () (or @t101 @t95)) % 0.38/0.60 (define @t103 () (tptp.ca_Vx3 @t59)) % 0.38/0.60 (define @t104 () (not @t94)) % 0.38/0.60 (define @t105 () (or @t104 @t103)) % 0.38/0.60 (define @t106 () (not @t86)) % 0.38/0.60 (define @t107 () (= @t103 @t106)) % 0.38/0.60 (define @t108 () (tptp.cd @t87)) % 0.38/0.60 (define @t109 () (not @t108)) % 0.38/0.60 (define @t110 () (tptp.rinvF @t59 @t87)) % 0.38/0.60 (define @t111 () (not @t110)) % 0.38/0.60 (define @t112 () (or @t111 @t109)) % 0.38/0.60 (define @t113 () (@list @t112)) % 0.38/0.60 (define @t114 () (not @t88)) % 0.38/0.60 (define @t115 () (and @t114 (tptp.cc @t87))) % 0.38/0.60 (define @t116 () (= @t108 @t115)) % 0.38/0.60 (define @t117 () (tptp.rf @t87 @t89)) % 0.38/0.60 (define @t118 () (tptp.ccxcomp @t89)) % 0.38/0.60 (define @t119 () (not @t118)) % 0.38/0.60 (define @t120 () (not @t117)) % 0.38/0.60 (define @t121 () (or @t120 @t119)) % 0.38/0.60 (define @t122 () (@list @t121)) % 0.38/0.60 (define @t123 () (tptp.rf @t87 @t59)) % 0.38/0.60 (define @t124 () (= @t110 @t123)) % 0.38/0.60 (define @t125 () (= @t59 @t89)) % 0.38/0.60 (define @t126 () (not @t123)) % 0.38/0.60 (define @t127 () (or @t126 @t120 @t125)) % 0.38/0.60 (define @t128 () (tptp.ra_Px1 @t89 @t91)) % 0.38/0.60 (define @t129 () (not @t90)) % 0.38/0.60 (define @t130 () (= @t118 @t129)) % 0.38/0.60 (define @t131 () (not (not @t128))) % 0.38/0.60 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.38/0.60 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Vx3 @t2)) (tptp.ca_Vx3 @t1)))) % 0.38/0.60 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cc @t2)) (tptp.cc @t1)))) % 0.38/0.60 (assume @p4 (forall @t4 (=> (and @t3 (tptp.ccxcomp @t2)) (tptp.ccxcomp @t1)))) % 0.38/0.60 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cd @t2)) (tptp.cd @t1)))) % 0.38/0.60 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.38/0.60 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.38/0.60 (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.38/0.60 (assume @p9 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.38/0.60 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.38/0.60 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.38/0.60 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.38/0.60 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.38/0.60 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.38/0.60 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.38/0.60 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.38/0.60 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.38/0.60 (assume @p18 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.38/0.60 (assume @p19 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.38/0.60 (assume @p20 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.38/0.60 (assume @p21 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.38/0.60 (assume @p22 @t22) % 0.38/0.60 (assume @p23 @t28) % 0.38/0.60 (assume @p24 @t34) % 0.38/0.60 (assume @p25 @t42) % 0.38/0.60 (assume @p26 @t44) % 0.38/0.60 (assume @p27 @t50) % 0.38/0.60 (assume @p28 (forall @t51 (= @t12 (tptp.rf @t10 @t7)))) % 0.38/0.60 (assume @p29 @t52) % 0.38/0.60 (assume @p30 (forall @t49 (=> (and @t53 (tptp.rr @t10 @t45)) (tptp.rr @t7 @t45)))) % 0.38/0.60 (assume @p31 @t54) % 0.38/0.60 (assume @p32 @t55) % 0.38/0.60 (step @p33 :rule evaluate :args ((= true false))) % 0.38/0.60 (step @p34 :rule bool-double-not-elim :args (@t56)) % 0.38/0.60 (step @p35 :rule exists-elim :args ((= @t24 (not @t56)))) % 0.38/0.60 (step @p36 :rule cong :premises (@p35) :args (@t25)) % 0.38/0.60 (step @p37 :rule trans :premises (@p36 @p34)) % 0.38/0.60 (step @p38 :rule refl :args (@t26)) % 0.38/0.60 (step @p39 :rule cong :premises (@p38 @p37) :args (@t27)) % 0.38/0.60 (step @p40 :rule cong :premises (@p39) :args (@t28)) % 0.38/0.60 (step @p41 :rule eq_resolve :premises (@p23 @p40)) % 0.38/0.60 (step @p42 :rule instantiate :premises (@p41) :args (@t60)) % 0.38/0.60 (step @p43 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 0.38/0.60 (step @p44 :rule cong :premises (@p43) :args (@t61)) % 0.38/0.60 (step @p45 :rule cong :premises (@p44) :args (@t62)) % 0.38/0.60 (step @p46 :rule exists-elim :args ((= @t38 @t62))) % 0.38/0.60 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.60 (step @p48 :rule nary_cong :premises (@p47 @p38) :args (@t39)) % 0.38/0.60 (step @p49 :rule refl :args (@t40)) % 0.38/0.60 (step @p50 :rule cong :premises (@p49 @p48) :args (@t41)) % 0.38/0.60 (step @p51 :rule cong :premises (@p50) :args (@t42)) % 0.38/0.60 (step @p52 :rule eq_resolve :premises (@p25 @p51)) % 0.38/0.60 (step @p53 :rule instantiate :premises (@p52) :args (@t60)) % 0.38/0.60 (step @p54 :rule refl :args (@t9)) % 0.38/0.60 (step @p55 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.38/0.60 (step @p56 :rule cong :premises (@p55) :args (@t63)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56) :args (@t64)) % 0.38/0.60 (step @p58 :rule exists-elim :args ((= @t15 @t64))) % 0.38/0.60 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.60 (step @p60 :rule bool-impl-elim :args (@t17 @t16)) % 0.38/0.60 (step @p61 :rule cong :premises (@p60) :args (@t18)) % 0.38/0.60 (step @p62 :rule nary_cong :premises (@p61 @p59 @p54) :args (@t19)) % 0.38/0.60 (step @p63 :rule refl :args (@t20)) % 0.38/0.60 (step @p64 :rule cong :premises (@p63 @p62) :args (@t21)) % 0.38/0.60 (step @p65 :rule cong :premises (@p64) :args (@t22)) % 0.38/0.60 (step @p66 :rule eq_resolve :premises (@p22 @p65)) % 0.38/0.60 (step @p67 :rule instantiate :premises (@p66) :args ((@list tptp.i2003_11_14_17_21_4056))) % 0.38/0.60 (step @p68 :rule cnf_equiv_pos1 :args (@t68)) % 0.38/0.60 (step @p69 :rule reordering :premises (@p68) :args ((or (not @t54) @t67 (not @t68)))) % 0.38/0.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p31 @p67) :args (@t67 @t69 (@list @t54 @t68))) % 0.38/0.60 (step @p71 :rule cnf_and_pos :args (@t67 1)) % 0.38/0.60 (step @p72 :rule reordering :premises (@p71) :args ((or @t65 @t70))) % 0.38/0.60 (step @p73 :rule chain_m_resolution :premises (@p72 @p70) :args (@t65 @t71 @t72)) % 0.38/0.60 (step @p74 :rule skolemize :premises (@p73)) % 0.38/0.60 (step @p75 :rule bool-double-not-elim :args (@t73)) % 0.38/0.60 (step @p76 :rule refl :args (@t77)) % 0.38/0.60 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t77 (not @t74)))) % 0.38/0.60 (step @p78 :rule cnf_or_neg :args (@t77 1)) % 0.38/0.60 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.38/0.60 (step @p80 :rule reordering :premises (@p79) :args ((or @t73 @t77))) % 0.38/0.60 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t73 @t78 @t79)) % 0.38/0.60 (step @p82 :rule cnf_equiv_pos1 :args (@t83)) % 0.38/0.60 (step @p83 :rule reordering :premises (@p82) :args ((or @t74 @t82 (not @t83)))) % 0.38/0.60 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p53) :args (@t82 @t69 (@list @t73 @t83))) % 0.38/0.60 (step @p85 :rule cnf_and_pos :args (@t82 1)) % 0.38/0.60 (step @p86 :rule reordering :premises (@p85) :args ((or @t80 (not @t82)))) % 0.38/0.60 (step @p87 :rule chain_m_resolution :premises (@p86 @p84) :args (@t80 @t71 (@list @t82))) % 0.38/0.60 (step @p88 :rule cnf_equiv_pos1 :args (@t85)) % 0.38/0.60 (step @p89 :rule reordering :premises (@p88) :args ((or (not @t80) @t84 (not @t85)))) % 0.38/0.60 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p42) :args (@t84 @t69 (@list @t80 @t85))) % 0.38/0.60 (step @p91 :rule instantiate :premises (@p90) :args ((@list @t91))) % 0.38/0.60 (step @p92 :rule false_intro :premises (@p91)) % 0.38/0.60 (step @p93 :rule refl :args (@t91)) % 0.38/0.60 (step @p94 :rule aci_norm :args ((= (or (or @t93 @t92) @t46) (or @t93 @t92 @t46)))) % 0.38/0.60 (step @p95 :rule refl :args (@t46)) % 0.38/0.60 (step @p96 :rule bool-and-de-morgan :args (@t36 @t47 true)) % 0.38/0.60 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t48) @t46))) % 0.38/0.60 (step @p98 :rule trans :premises (@p97 @p94)) % 0.38/0.60 (step @p99 :rule bool-impl-elim :args (@t48 @t46)) % 0.38/0.60 (step @p100 :rule trans :premises (@p99 @p98)) % 0.38/0.60 (step @p101 :rule cong :premises (@p100) :args (@t50)) % 0.38/0.60 (step @p102 :rule eq_resolve :premises (@p27 @p101)) % 0.38/0.60 (step @p103 :rule instantiate :premises (@p102) :args ((@list @t87 @t59 @t89))) % 0.38/0.60 (step @p104 :rule instantiate :premises (@p52) :args ((@list @t87))) % 0.38/0.60 (step @p105 :rule eq-symm :args ((not (forall @t14 (or (not @t12) @t57))) @t43)) % 0.38/0.60 (step @p106 :rule refl :args (@t43)) % 0.38/0.60 (step @p107 :rule cong :premises (@p59 @p106) :args ((= @t15 @t43))) % 0.38/0.60 (step @p108 :rule trans :premises (@p107 @p105)) % 0.38/0.60 (step @p109 :rule eq-symm :args (@t43 @t15)) % 0.38/0.60 (step @p110 :rule trans :premises (@p109 @p108)) % 0.38/0.60 (step @p111 :rule cong :premises (@p110) :args (@t44)) % 0.38/0.60 (step @p112 :rule eq_resolve :premises (@p26 @p111)) % 0.38/0.60 (step @p113 :rule instantiate :premises (@p112) :args (@t60)) % 0.38/0.60 (step @p114 :rule cnf_and_pos :args (@t67 0)) % 0.38/0.60 (step @p115 :rule reordering :premises (@p114) :args ((or @t66 @t70))) % 0.38/0.60 (step @p116 :rule chain_m_resolution :premises (@p115 @p70) :args (@t66 @t71 @t72)) % 0.38/0.60 (step @p117 :rule instantiate :premises (@p116) :args (@t60)) % 0.38/0.60 (step @p118 :rule eq-symm :args (@t94 @t95)) % 0.38/0.60 (step @p119 :rule refl :args (@t52)) % 0.38/0.60 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t52 @t96))) % 0.38/0.60 (assume-push @p223 @t52) % 0.38/0.60 (step @p122 :rule instantiate :premises (@p29) :args (@t97)) % 0.38/0.60 (step-pop @p224 :rule scope :premises (@p122)) % 0.38/0.60 (step @p123 :rule process_scope :premises (@p224) :args (@t96)) % 0.38/0.60 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 0.38/0.60 (step @p126 :rule implies_elim :premises (@p125)) % 0.38/0.60 (step @p127 :rule chain_m_resolution :premises (@p126 @p29) :args (@t98 @t71 (@list @t52))) % 0.38/0.60 (step @p128 :rule bool-impl-elim :args (@t36 @t53)) % 0.38/0.60 (step @p129 :rule cong :premises (@p128) :args (@t55)) % 0.38/0.60 (step @p130 :rule eq_resolve :premises (@p32 @p129)) % 0.38/0.60 (step @p131 :rule instantiate :premises (@p130) :args ((@list @t59 tptp.i2003_11_14_17_21_4056))) % 0.38/0.60 (step @p132 :rule instantiate :premises (@p28) :args (@t97)) % 0.38/0.60 (step @p133 :rule bool-double-not-elim :args (@t75)) % 0.38/0.60 (step @p134 :rule nary_cong :premises (@p76 @p133) :args ((or @t77 (not @t76)))) % 0.38/0.60 (step @p135 :rule cnf_or_neg :args (@t77 0)) % 0.38/0.60 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 0.38/0.60 (step @p137 :rule reordering :premises (@p136) :args ((or @t75 @t77))) % 0.38/0.60 (step @p138 :rule chain_m_resolution :premises (@p137 @p74) :args (@t75 @t78 @t79)) % 0.38/0.60 (step @p139 :rule cnf_equiv_pos1 :args (@t100)) % 0.38/0.60 (step @p140 :rule reordering :premises (@p139) :args ((or @t76 @t99 (not @t100)))) % 0.38/0.60 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p132) :args (@t99 @t69 (@list @t75 @t100))) % 0.38/0.60 (step @p142 :rule cnf_or_pos :args (@t102)) % 0.38/0.60 (step @p143 :rule reordering :premises (@p142) :args ((or @t101 @t95 (not @t102)))) % 0.38/0.60 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p131) :args (@t95 @t69 (@list @t99 @t102))) % 0.38/0.60 (step @p145 :rule cnf_equiv_pos1 :args (@t98)) % 0.38/0.60 (step @p146 :rule reordering :premises (@p145) :args ((or (not @t95) @t94 (not @t98)))) % 0.38/0.60 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p127) :args (@t94 @t69 (@list @t95 @t98))) % 0.38/0.60 (step @p148 :rule cnf_or_pos :args (@t105)) % 0.38/0.60 (step @p149 :rule reordering :premises (@p148) :args ((or @t104 @t103 (not @t105)))) % 0.38/0.60 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p117) :args (@t103 @t69 (@list @t94 @t105))) % 0.38/0.60 (step @p151 :rule cnf_equiv_pos1 :args (@t107)) % 0.38/0.60 (step @p152 :rule reordering :premises (@p151) :args ((or (not @t103) @t106 (not @t107)))) % 0.38/0.60 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p113) :args (@t106 @t69 (@list @t103 @t107))) % 0.38/0.60 (step @p154 :rule skolemize :premises (@p153)) % 0.38/0.60 (step @p155 :rule bool-double-not-elim :args (@t108)) % 0.38/0.60 (step @p156 :rule refl :args (@t112)) % 0.38/0.60 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t112 (not @t109)))) % 0.38/0.60 (step @p158 :rule cnf_or_neg :args (@t112 1)) % 0.38/0.60 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.38/0.60 (step @p160 :rule reordering :premises (@p159) :args ((or @t108 @t112))) % 0.38/0.60 (step @p161 :rule chain_m_resolution :premises (@p160 @p154) :args (@t108 @t78 @t113)) % 0.38/0.60 (step @p162 :rule cnf_equiv_pos1 :args (@t116)) % 0.38/0.60 (step @p163 :rule reordering :premises (@p162) :args ((or @t109 @t115 (not @t116)))) % 0.38/0.60 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p104) :args (@t115 @t69 (@list @t108 @t116))) % 0.38/0.60 (step @p165 :rule cnf_and_pos :args (@t115 0)) % 0.38/0.60 (step @p166 :rule reordering :premises (@p165) :args ((or @t114 (not @t115)))) % 0.38/0.60 (step @p167 :rule chain_m_resolution :premises (@p166 @p164) :args (@t114 @t71 (@list @t115))) % 0.38/0.60 (step @p168 :rule skolemize :premises (@p167)) % 0.38/0.60 (step @p169 :rule bool-double-not-elim :args (@t117)) % 0.38/0.60 (step @p170 :rule refl :args (@t121)) % 0.38/0.60 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or @t121 (not @t120)))) % 0.38/0.60 (step @p172 :rule cnf_or_neg :args (@t121 0)) % 0.38/0.60 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.38/0.60 (step @p174 :rule reordering :premises (@p173) :args ((or @t117 @t121))) % 0.38/0.60 (step @p175 :rule chain_m_resolution :premises (@p174 @p168) :args (@t117 @t78 @t122)) % 0.38/0.60 (step @p176 :rule instantiate :premises (@p28) :args ((@list @t59 @t87))) % 0.38/0.60 (step @p177 :rule bool-double-not-elim :args (@t110)) % 0.38/0.60 (step @p178 :rule nary_cong :premises (@p156 @p177) :args ((or @t112 (not @t111)))) % 0.38/0.60 (step @p179 :rule cnf_or_neg :args (@t112 0)) % 0.38/0.60 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 0.38/0.60 (step @p181 :rule reordering :premises (@p180) :args ((or @t110 @t112))) % 0.38/0.60 (step @p182 :rule chain_m_resolution :premises (@p181 @p154) :args (@t110 @t78 @t113)) % 0.38/0.60 (step @p183 :rule cnf_equiv_pos1 :args (@t124)) % 0.38/0.60 (step @p184 :rule reordering :premises (@p183) :args ((or @t111 @t123 (not @t124)))) % 0.38/0.60 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p176) :args (@t123 @t69 (@list @t110 @t124))) % 0.38/0.60 (step @p186 :rule cnf_or_pos :args (@t127)) % 0.38/0.60 (step @p187 :rule reordering :premises (@p186) :args ((or @t126 @t120 @t125 (not @t127)))) % 0.38/0.60 (step @p188 :rule chain_m_resolution :premises (@p187 @p185 @p175 @p103) :args (@t125 (@list false false false) (@list @t123 @t117 @t127))) % 0.38/0.60 (step @p189 :rule symm :premises (@p188)) % 0.38/0.60 (step @p190 :rule cong :premises (@p189 @p93) :args (@t128)) % 0.38/0.60 (step @p191 :rule exists-elim :args ((= @t32 (not (forall @t31 (not @t30)))))) % 0.38/0.60 (step @p192 :rule cong :premises (@p54 @p191) :args (@t33)) % 0.38/0.60 (step @p193 :rule cong :premises (@p192) :args (@t34)) % 0.38/0.60 (step @p194 :rule eq_resolve :premises (@p24 @p193)) % 0.38/0.60 (step @p195 :rule instantiate :premises (@p194) :args ((@list @t89))) % 0.38/0.60 (step @p196 :rule bool-double-not-elim :args (@t118)) % 0.38/0.60 (step @p197 :rule nary_cong :premises (@p170 @p196) :args ((or @t121 (not @t119)))) % 0.38/0.60 (step @p198 :rule cnf_or_neg :args (@t121 1)) % 0.38/0.60 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 0.38/0.60 (step @p200 :rule reordering :premises (@p199) :args ((or @t118 @t121))) % 0.38/0.60 (step @p201 :rule chain_m_resolution :premises (@p200 @p168) :args (@t118 @t78 @t122)) % 0.38/0.60 (step @p202 :rule cnf_equiv_pos1 :args (@t130)) % 0.38/0.60 (step @p203 :rule reordering :premises (@p202) :args ((or @t119 @t129 (not @t130)))) % 0.38/0.60 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p195) :args (@t129 @t69 (@list @t118 @t130))) % 0.38/0.60 (step @p205 :rule refl :args (@t128)) % 0.38/0.60 (step @p206 :rule bool-double-not-elim :args (@t90)) % 0.38/0.60 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or (not @t129) @t128))) % 0.38/0.60 (step @p208 :rule bool-double-not-elim :args (@t128)) % 0.38/0.60 (step @p209 :rule refl :args (@t129)) % 0.38/0.60 (step @p210 :rule cong :premises (@p209 @p208) :args ((=> @t129 @t131))) % 0.38/0.60 (assume-push @p225 @t129) % 0.38/0.60 (step @p212 :rule skolemize :premises (@p204)) % 0.38/0.60 (step-pop @p226 :rule scope :premises (@p212)) % 0.38/0.60 (step @p213 :rule process_scope :premises (@p226) :args (@t131)) % 0.38/0.60 (step @p215 :rule eq_resolve :premises (@p213 @p210)) % 0.38/0.60 (step @p216 :rule implies_elim :premises (@p215)) % 0.38/0.60 (step @p217 :rule eq_resolve :premises (@p216 @p207)) % 0.38/0.60 (step @p218 :rule chain_m_resolution :premises (@p217 @p204) :args (@t128 @t78 (@list @t90))) % 0.38/0.60 (step @p219 :rule true_intro :premises (@p218)) % 0.38/0.60 (step @p220 :rule symm :premises (@p219)) % 0.38/0.60 (step @p221 :rule trans :premises (@p220 @p190 @p92)) % 0.38/0.60 (step @p222 false :rule eq_resolve :premises (@p221 @p33)) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------