%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS089+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 : n016.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 08:28:54 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS089+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 05:28:09 EDT 2026 % 0.16/0.35 % 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... % 0.37/0.58 % SZS status Unsatisfiable % 0.37/0.58 % SZS output start Proof % 0.37/0.60 ( % 0.37/0.60 (declare-sort $$unsorted 0) % 0.37/0.60 (declare-const tptp.i2003_11_14_17_19_53168 $$unsorted) % 0.37/0.60 (declare-const tptp.ispy $$unsorted) % 0.37/0.60 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.rp (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.rinvP (-> $$unsorted $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.37/0.60 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.37/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.60 (define @t2 () (@var "A" $$unsorted)) % 0.37/0.60 (define @t3 () (= @t2 @t1)) % 0.37/0.60 (define @t4 () (@list @t2 @t1)) % 0.37/0.60 (define @t5 () (@var "C" $$unsorted)) % 0.37/0.60 (define @t6 () (@list @t2 @t1 @t5)) % 0.37/0.60 (define @t7 () (@var "X" $$unsorted)) % 0.37/0.60 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.37/0.60 (define @t9 () (tptp.cowlThing @t7)) % 0.37/0.60 (define @t10 () (@list @t7)) % 0.37/0.60 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.37/0.60 (define @t12 () (@var "Y2" $$unsorted)) % 0.37/0.60 (define @t13 () (@var "Y1" $$unsorted)) % 0.37/0.60 (define @t14 () (= @t13 @t12)) % 0.37/0.60 (define @t15 () (not @t14)) % 0.37/0.60 (define @t16 () (@var "Y0" $$unsorted)) % 0.37/0.60 (define @t17 () (= @t16 @t12)) % 0.37/0.60 (define @t18 () (not @t17)) % 0.37/0.60 (define @t19 () (= @t16 @t13)) % 0.37/0.60 (define @t20 () (not @t19)) % 0.37/0.60 (define @t21 () (tptp.rr @t7 @t12)) % 0.37/0.60 (define @t22 () (tptp.rr @t7 @t13)) % 0.37/0.60 (define @t23 () (tptp.rr @t7 @t16)) % 0.37/0.60 (define @t24 () (and @t23 @t22 @t21 @t20 @t18 @t15)) % 0.37/0.60 (define @t25 () (@list @t16 @t13 @t12)) % 0.37/0.60 (define @t26 () (exists @t25 @t24)) % 0.37/0.60 (define @t27 () (tptp.cUnsatisfiable @t7)) % 0.37/0.60 (define @t28 () (=> @t27 @t26)) % 0.37/0.60 (define @t29 () (forall @t10 @t28)) % 0.37/0.60 (define @t30 () (@var "Y" $$unsorted)) % 0.37/0.60 (define @t31 () (= @t30 tptp.ispy)) % 0.37/0.60 (define @t32 () (tptp.rp @t7 @t30)) % 0.37/0.60 (define @t33 () (and @t32 @t31)) % 0.37/0.60 (define @t34 () (@list @t30)) % 0.37/0.60 (define @t35 () (exists @t34 @t33)) % 0.37/0.60 (define @t36 () (=> @t9 @t35)) % 0.37/0.60 (define @t37 () (forall @t10 @t36)) % 0.37/0.60 (define @t38 () (forall (@list @t7 @t30) (= @t32 (tptp.rinvP @t30 @t7)))) % 0.37/0.60 (define @t39 () (@var "X2" $$unsorted)) % 0.37/0.60 (define @t40 () (@var "X1" $$unsorted)) % 0.37/0.60 (define @t41 () (= @t40 @t39)) % 0.37/0.60 (define @t42 () (@var "X0" $$unsorted)) % 0.37/0.60 (define @t43 () (= @t42 @t39)) % 0.37/0.60 (define @t44 () (= @t42 @t40)) % 0.37/0.60 (define @t45 () (or @t44 @t43 @t41)) % 0.37/0.60 (define @t46 () (tptp.rinvP tptp.ispy @t39)) % 0.37/0.60 (define @t47 () (tptp.rinvP tptp.ispy @t40)) % 0.37/0.60 (define @t48 () (tptp.rinvP tptp.ispy @t42)) % 0.37/0.60 (define @t49 () (and @t48 @t47 @t46)) % 0.37/0.60 (define @t50 () (forall (@list @t42 @t40 @t39) (=> @t49 @t45))) % 0.37/0.60 (define @t51 () (tptp.cowlThing tptp.ispy)) % 0.37/0.60 (define @t52 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_53168)) % 0.37/0.60 (define @t53 () (not @t21)) % 0.37/0.60 (define @t54 () (not @t22)) % 0.37/0.60 (define @t55 () (not @t23)) % 0.37/0.60 (define @t56 () (not (forall @t25 (or @t55 @t54 @t53 @t19 @t17 @t14)))) % 0.37/0.60 (define @t57 () (not @t15)) % 0.37/0.60 (define @t58 () (not @t18)) % 0.37/0.60 (define @t59 () (not @t20)) % 0.37/0.60 (define @t60 () (or @t55 @t54 @t53 @t59 @t58 @t57)) % 0.37/0.60 (define @t61 () (forall @t25 (not @t24))) % 0.37/0.60 (define @t62 () (not @t61)) % 0.37/0.60 (define @t63 () (forall @t25 (or (not (tptp.rr tptp.i2003_11_14_17_19_53168 @t16)) (not (tptp.rr tptp.i2003_11_14_17_19_53168 @t13)) (not (tptp.rr tptp.i2003_11_14_17_19_53168 @t12)) @t19 @t17 @t14))) % 0.37/0.60 (define @t64 () (not @t63)) % 0.37/0.60 (define @t65 () (not @t52)) % 0.37/0.60 (define @t66 () (or @t65 @t64)) % 0.37/0.60 (define @t67 () (@list false false)) % 0.37/0.60 (define @t68 () (@quantifiers_skolemize @t63 2)) % 0.37/0.60 (define @t69 () (@quantifiers_skolemize @t63 1)) % 0.37/0.60 (define @t70 () (= @t69 @t68)) % 0.37/0.60 (define @t71 () (@quantifiers_skolemize @t63 0)) % 0.37/0.60 (define @t72 () (= @t71 @t68)) % 0.37/0.60 (define @t73 () (= @t71 @t69)) % 0.37/0.60 (define @t74 () (or (not (tptp.rr tptp.i2003_11_14_17_19_53168 @t71)) (not (tptp.rr tptp.i2003_11_14_17_19_53168 @t69)) (not (tptp.rr tptp.i2003_11_14_17_19_53168 @t68)) @t73 @t72 @t70)) % 0.37/0.60 (define @t75 () (not @t72)) % 0.37/0.60 (define @t76 () (@list true)) % 0.37/0.60 (define @t77 () (@list @t74)) % 0.37/0.60 (define @t78 () (tptp.rp @t7 tptp.ispy)) % 0.37/0.60 (define @t79 () (not @t78)) % 0.37/0.60 (define @t80 () (not (= tptp.ispy tptp.ispy))) % 0.37/0.60 (define @t81 () (or @t79 @t80)) % 0.37/0.60 (define @t82 () (= tptp.ispy @t30)) % 0.37/0.60 (define @t83 () (not @t82)) % 0.37/0.60 (define @t84 () (not @t32)) % 0.37/0.60 (define @t85 () (or @t83 @t84 @t83)) % 0.37/0.60 (define @t86 () (or @t84 @t83)) % 0.37/0.60 (define @t87 () (and @t32 @t82)) % 0.37/0.60 (define @t88 () (forall @t34 (not @t87))) % 0.37/0.60 (define @t89 () (not @t88)) % 0.37/0.60 (define @t90 () (tptp.rp tptp.ispy tptp.ispy)) % 0.37/0.60 (define @t91 () (not @t51)) % 0.37/0.60 (define @t92 () (or @t91 @t90)) % 0.37/0.60 (define @t93 () (tptp.rinvP tptp.ispy tptp.ispy)) % 0.37/0.60 (define @t94 () (= @t90 @t93)) % 0.37/0.60 (define @t95 () (tptp.rp @t71 tptp.ispy)) % 0.37/0.60 (define @t96 () (tptp.rinvP tptp.ispy @t71)) % 0.37/0.60 (define @t97 () (= @t95 @t96)) % 0.37/0.60 (define @t98 () (= @t96 @t95)) % 0.37/0.60 (define @t99 () (@list @t71)) % 0.37/0.60 (define @t100 () (forall @t10 @t8)) % 0.37/0.60 (define @t101 () (@list @t7)) % 0.37/0.60 (define @t102 () (forall @t10 @t9)) % 0.37/0.60 (define @t103 () (and @t102 @t100)) % 0.37/0.60 (define @t104 () (tptp.cowlThing @t71)) % 0.37/0.60 (define @t105 () (not @t104)) % 0.37/0.60 (define @t106 () (or @t105 @t95)) % 0.37/0.60 (define @t107 () (@list @t68)) % 0.37/0.60 (define @t108 () (tptp.rp @t68 tptp.ispy)) % 0.37/0.60 (define @t109 () (tptp.cowlThing @t68)) % 0.37/0.60 (define @t110 () (not @t109)) % 0.37/0.60 (define @t111 () (or @t110 @t108)) % 0.37/0.60 (define @t112 () (tptp.rinvP tptp.ispy @t68)) % 0.37/0.60 (define @t113 () (= @t108 @t112)) % 0.37/0.60 (define @t114 () (not @t46)) % 0.37/0.60 (define @t115 () (not @t47)) % 0.37/0.60 (define @t116 () (not @t48)) % 0.37/0.60 (define @t117 () (or @t116 @t115 @t114)) % 0.37/0.60 (define @t118 () (= tptp.ispy @t68)) % 0.37/0.60 (define @t119 () (= tptp.ispy @t71)) % 0.37/0.60 (define @t120 () (not @t112)) % 0.37/0.60 (define @t121 () (not @t96)) % 0.37/0.60 (define @t122 () (not @t93)) % 0.37/0.60 (define @t123 () (or @t122 @t121 @t120 @t119 @t118 @t72)) % 0.37/0.60 (define @t124 () (not @t70)) % 0.37/0.60 (define @t125 () (@list @t69)) % 0.37/0.60 (define @t126 () (tptp.rp @t69 tptp.ispy)) % 0.37/0.60 (define @t127 () (tptp.cowlThing @t69)) % 0.37/0.60 (define @t128 () (not @t127)) % 0.37/0.60 (define @t129 () (or @t128 @t126)) % 0.37/0.60 (define @t130 () (tptp.rinvP tptp.ispy @t69)) % 0.37/0.60 (define @t131 () (= @t126 @t130)) % 0.37/0.60 (define @t132 () (= tptp.ispy @t69)) % 0.37/0.60 (define @t133 () (not @t130)) % 0.37/0.60 (define @t134 () (or @t122 @t133 @t120 @t132 @t118 @t70)) % 0.37/0.60 (define @t135 () (not @t73)) % 0.37/0.60 (define @t136 () (not @t132)) % 0.37/0.60 (define @t137 () (not @t119)) % 0.37/0.60 (define @t138 () (and @t135 @t119)) % 0.37/0.60 (define @t139 () (not @t118)) % 0.37/0.60 (define @t140 () (= false true)) % 0.37/0.60 (define @t141 () (and @t118 @t132 @t124)) % 0.37/0.60 (define @t142 () (or @t122 @t121 @t133 @t119 @t132 @t73)) % 0.37/0.60 (define @t143 () (and @t118 @t119 @t75)) % 0.37/0.60 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.37/0.60 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.37/0.60 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.37/0.60 (assume @p4 (forall @t6 (=> (and @t3 (tptp.rinvP @t2 @t5)) (tptp.rinvP @t1 @t5)))) % 0.37/0.60 (assume @p5 (forall @t6 (=> (and @t3 (tptp.rinvP @t5 @t2)) (tptp.rinvP @t5 @t1)))) % 0.37/0.60 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rp @t2 @t5)) (tptp.rp @t1 @t5)))) % 0.37/0.60 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rp @t5 @t2)) (tptp.rp @t5 @t1)))) % 0.37/0.60 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.37/0.60 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.37/0.60 (assume @p10 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.37/0.60 (assume @p11 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.37/0.60 (assume @p12 @t11) % 0.37/0.60 (assume @p13 (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.37/0.60 (assume @p14 @t29) % 0.37/0.60 (assume @p15 @t37) % 0.37/0.60 (assume @p16 @t38) % 0.37/0.60 (assume @p17 @t50) % 0.37/0.60 (assume @p18 @t51) % 0.37/0.60 (assume @p19 @t52) % 0.37/0.60 (step @p20 :rule bool-impl-elim :args (@t27 @t56)) % 0.37/0.60 (step @p21 :rule cong :premises (@p20) :args ((forall @t10 (=> @t27 @t56)))) % 0.37/0.60 (step @p22 :rule bool-double-not-elim :args (@t14)) % 0.37/0.60 (step @p23 :rule bool-double-not-elim :args (@t17)) % 0.37/0.60 (step @p24 :rule bool-double-not-elim :args (@t19)) % 0.37/0.60 (step @p25 :rule refl :args (@t53)) % 0.37/0.60 (step @p26 :rule refl :args (@t54)) % 0.37/0.60 (step @p27 :rule refl :args (@t55)) % 0.37/0.60 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25 @p24 @p23 @p22) :args (@t60)) % 0.37/0.60 (step @p29 :rule aci_norm :args ((= (or @t55 (or @t54 (or @t53 (or @t59 (or @t58 @t57))))) @t60))) % 0.37/0.60 (step @p30 :rule trans :premises (@p29 @p28)) % 0.37/0.60 (step @p31 :rule bool-and-de-morgan :args (@t18 @t15 true)) % 0.37/0.60 (step @p32 :rule refl :args (@t59)) % 0.37/0.60 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t59 (not (and @t18 @t15))))) % 0.37/0.60 (step @p34 :rule bool-and-de-morgan :args (@t20 @t18 (and @t15))) % 0.37/0.60 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.60 (step @p36 :rule nary_cong :premises (@p25 @p35) :args ((or @t53 (not (and @t20 @t18 @t15))))) % 0.37/0.60 (step @p37 :rule bool-and-de-morgan :args (@t21 @t20 (and @t18 @t15))) % 0.37/0.60 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.60 (step @p39 :rule nary_cong :premises (@p26 @p38) :args ((or @t54 (not (and @t21 @t20 @t18 @t15))))) % 0.37/0.60 (step @p40 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20 @t18 @t15))) % 0.37/0.60 (step @p41 :rule trans :premises (@p40 @p39)) % 0.37/0.60 (step @p42 :rule nary_cong :premises (@p27 @p41) :args ((or @t55 (not (and @t22 @t21 @t20 @t18 @t15))))) % 0.37/0.60 (step @p43 :rule bool-and-de-morgan :args (@t23 @t22 (and @t21 @t20 @t18 @t15))) % 0.37/0.60 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.60 (step @p45 :rule trans :premises (@p44 @p30)) % 0.37/0.60 (step @p46 :rule cong :premises (@p45) :args (@t61)) % 0.37/0.60 (step @p47 :rule cong :premises (@p46) :args (@t62)) % 0.37/0.60 (step @p48 :rule exists-elim :args ((= @t26 @t62))) % 0.37/0.60 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.60 (step @p50 :rule refl :args (@t27)) % 0.37/0.60 (step @p51 :rule cong :premises (@p50 @p49) :args (@t28)) % 0.37/0.60 (step @p52 :rule cong :premises (@p51) :args (@t29)) % 0.37/0.60 (step @p53 :rule trans :premises (@p52 @p21)) % 0.37/0.60 (step @p54 :rule eq_resolve :premises (@p14 @p53)) % 0.37/0.60 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.i2003_11_14_17_19_53168))) % 0.37/0.60 (step @p56 :rule cnf_or_pos :args (@t66)) % 0.37/0.60 (step @p57 :rule reordering :premises (@p56) :args ((or @t65 @t64 (not @t66)))) % 0.37/0.60 (step @p58 :rule chain_m_resolution :premises (@p57 @p19 @p55) :args (@t64 @t67 (@list @t52 @t66))) % 0.37/0.60 (step @p59 :rule skolemize :premises (@p58)) % 0.37/0.60 (step @p60 :rule cnf_or_neg :args (@t74 4)) % 0.37/0.60 (step @p61 :rule chain_m_resolution :premises (@p60 @p59) :args (@t75 @t76 @t77)) % 0.37/0.60 (step @p62 :rule instantiate :premises (@p16) :args ((@list tptp.ispy tptp.ispy))) % 0.37/0.60 (step @p63 :rule bool-impl-elim :args (@t9 @t78)) % 0.37/0.60 (step @p64 :rule cong :premises (@p63) :args ((forall @t10 (=> @t9 @t78)))) % 0.37/0.60 (step @p65 :rule bool-double-not-elim :args (@t78)) % 0.37/0.60 (step @p66 :rule aci_norm :args ((= (or @t79 false) @t79))) % 0.37/0.60 (step @p67 :rule evaluate :args ((not true))) % 0.37/0.60 (step @p68 :rule eq-refl :args (tptp.ispy)) % 0.37/0.60 (step @p69 :rule cong :premises (@p68) :args (@t80)) % 0.37/0.60 (step @p70 :rule trans :premises (@p69 @p67)) % 0.37/0.60 (step @p71 :rule refl :args (@t79)) % 0.37/0.60 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t81)) % 0.37/0.60 (step @p73 :rule trans :premises (@p72 @p66)) % 0.37/0.60 (step @p74 :rule quant-var-elim-eq :args ((= (forall @t34 (or (not @t31) @t84 @t83)) @t81))) % 0.37/0.60 (step @p75 :rule refl :args (@t83)) % 0.37/0.60 (step @p76 :rule refl :args (@t84)) % 0.37/0.60 (step @p77 :rule eq-symm :args (tptp.ispy @t30)) % 0.37/0.60 (step @p78 :rule cong :premises (@p77) :args (@t83)) % 0.37/0.60 (step @p79 :rule nary_cong :premises (@p78 @p76 @p75) :args (@t85)) % 0.37/0.60 (step @p80 :rule aci_norm :args ((= @t86 @t85))) % 0.37/0.60 (step @p81 :rule trans :premises (@p80 @p79)) % 0.37/0.60 (step @p82 :rule cong :premises (@p81) :args ((forall @t34 @t86))) % 0.37/0.60 (step @p83 :rule trans :premises (@p82 @p74)) % 0.37/0.60 (step @p84 :rule trans :premises (@p83 @p73)) % 0.37/0.60 (step @p85 :rule bool-and-de-morgan :args (@t32 @t82 true)) % 0.37/0.60 (step @p86 :rule cong :premises (@p85) :args (@t88)) % 0.37/0.60 (step @p87 :rule trans :premises (@p86 @p84)) % 0.37/0.60 (step @p88 :rule cong :premises (@p87) :args (@t89)) % 0.37/0.60 (step @p89 :rule trans :premises (@p88 @p65)) % 0.37/0.60 (step @p90 :rule exists-elim :args ((= (exists @t34 @t87) @t89))) % 0.37/0.60 (step @p91 :rule trans :premises (@p90 @p89)) % 0.37/0.60 (step @p92 :rule eq-symm :args (@t30 tptp.ispy)) % 0.37/0.60 (step @p93 :rule refl :args (@t32)) % 0.37/0.60 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t33)) % 0.37/0.60 (step @p95 :rule cong :premises (@p94) :args (@t35)) % 0.37/0.60 (step @p96 :rule trans :premises (@p95 @p91)) % 0.37/0.60 (step @p97 :rule refl :args (@t9)) % 0.37/0.60 (step @p98 :rule cong :premises (@p97 @p96) :args (@t36)) % 0.37/0.60 (step @p99 :rule cong :premises (@p98) :args (@t37)) % 0.37/0.60 (step @p100 :rule trans :premises (@p99 @p64)) % 0.37/0.60 (step @p101 :rule eq_resolve :premises (@p15 @p100)) % 0.37/0.60 (step @p102 :rule instantiate :premises (@p101) :args ((@list tptp.ispy))) % 0.37/0.60 (step @p103 :rule cnf_or_pos :args (@t92)) % 0.37/0.60 (step @p104 :rule reordering :premises 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(step @p178 :rule refl :args (@t137)) % 0.37/0.60 (step @p179 :rule bool-double-not-elim :args (@t73)) % 0.37/0.60 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177) :args ((or (not @t135) @t137 @t136))) % 0.37/0.60 (assume-push @p269 @t135) % 0.37/0.60 (assume-push @p270 @t119) % 0.37/0.60 (assume-push @p271 @t135) % 0.37/0.60 (assume-push @p272 @t119) % 0.37/0.60 (step @p185 :rule false_intro :premises (@p176)) % 0.37/0.60 (step @p186 :rule refl :args (@t69)) % 0.37/0.60 (step @p187 :rule cong :premises (@p270 @p186) :args (@t132)) % 0.37/0.60 (step @p188 :rule trans :premises (@p187 @p185)) % 0.37/0.60 (step @p189 :rule false_elim :premises (@p188)) % 0.37/0.60 (step-pop @p273 :rule scope :premises (@p189)) % 0.37/0.60 (step-pop @p274 :rule scope :premises (@p273)) % 0.37/0.60 (step @p190 :rule process_scope :premises (@p274) :args (@t136)) % 0.37/0.60 (step @p193 :rule and_intro :premises (@p176 @p270)) % 0.37/0.60 (step @p194 :rule modus_ponens :premises (@p193 @p190)) % 0.37/0.60 (step-pop @p275 :rule scope :premises (@p194)) % 0.37/0.60 (step-pop @p276 :rule scope :premises (@p275)) % 0.37/0.60 (step @p195 :rule process_scope :premises (@p276) :args (@t136)) % 0.37/0.60 (step @p198 :rule implies_elim :premises (@p195)) % 0.37/0.60 (step @p199 :rule cnf_and_neg :args (@t138)) % 0.37/0.60 (step @p200 :rule resolution :premises (@p199 @p198) :args (true @t138)) % 0.37/0.60 (step @p201 :rule eq_resolve :premises (@p200 @p180)) % 0.37/0.60 (step @p202 :rule chain_m_resolution :premises (@p201 @p176 @p174 @p172 @p142 @p171 @p108 @p162 @p160 @p158 @p142 @p133 @p108 @p61) :args (@t118 (@list true false false false false false true false false false false false true) (@list @t73 @t132 @t134 @t112 @t130 @t93 @t70 @t119 @t123 @t112 @t96 @t93 @t72))) % 0.37/0.60 (step @p203 :rule instantiate :premises (@p157) :args ((@list tptp.ispy @t71 @t69))) % 0.37/0.60 (step @p204 :rule refl :args (@t139)) % 0.37/0.60 (step @p205 :rule bool-double-not-elim :args (@t70)) % 0.37/0.60 (step @p206 :rule nary_cong :premises (@p205 @p177 @p204) :args ((or (not @t124) @t136 @t139))) % 0.37/0.60 (assume-push @p277 @t118) % 0.37/0.60 (assume-push @p278 @t132) % 0.37/0.60 (assume-push @p279 @t124) % 0.37/0.60 (step @p210 :rule evaluate :args (@t140)) % 0.37/0.60 (step @p211 :rule symm :premises (@p278)) % 0.37/0.60 (step @p212 :rule trans :premises (@p211 @p277)) % 0.37/0.60 (step @p213 :rule true_intro :premises (@p212)) % 0.37/0.60 (step @p214 :rule false_intro :premises (@p162)) % 0.37/0.60 (step @p215 :rule symm :premises (@p214)) % 0.37/0.60 (step @p216 :rule trans :premises (@p215 @p213)) % 0.37/0.60 (step @p217 false :rule eq_resolve :premises (@p216 @p210)) % 0.37/0.60 (step-pop @p280 :rule scope :premises (@p217)) % 0.37/0.60 (step-pop @p281 :rule scope :premises (@p280)) % 0.37/0.60 (step-pop @p282 :rule scope :premises (@p281)) % 0.37/0.60 (step @p218 :rule process_scope :premises (@p282) :args (false)) % 0.37/0.60 (assume-push @p283 @t124) % 0.37/0.60 (assume-push @p284 @t132) % 0.37/0.60 (assume-push @p285 @t118) % 0.37/0.60 (step @p225 :rule and_intro :premises (@p285 @p284 @p162)) % 0.37/0.60 (step-pop @p286 :rule scope :premises (@p225)) % 0.37/0.60 (step-pop @p287 :rule scope :premises (@p286)) % 0.37/0.60 (step-pop @p288 :rule scope :premises (@p287)) % 0.37/0.60 (step @p226 :rule process_scope :premises (@p288) :args (@t141)) % 0.37/0.60 (step @p230 :rule implies_elim :premises (@p226)) % 0.37/0.60 (step @p231 :rule resolution :premises (@p230 @p218) :args (true @t141)) % 0.37/0.60 (step @p232 :rule not_and :premises (@p231)) % 0.37/0.60 (step @p233 :rule eq_resolve :premises (@p232 @p206)) % 0.37/0.60 (step @p234 :rule chain_m_resolution :premises (@p233 @p162 @p202) :args (@t136 (@list true false) (@list @t70 @t118))) % 0.37/0.60 (step @p235 :rule cnf_or_pos :args (@t142)) % 0.37/0.60 (step @p236 :rule reordering :premises (@p235) :args ((or @t73 @t122 @t121 @t119 @t133 @t132 (not @t142)))) % 0.37/0.60 (step @p237 :rule chain_m_resolution :premises (@p236 @p176 @p108 @p133 @p171 @p234 @p203) :args (@t119 (@list true false false false true false) (@list @t73 @t93 @t96 @t130 @t132 @t142))) % 0.37/0.60 (step @p238 :rule bool-double-not-elim :args (@t72)) % 0.37/0.60 (step @p239 :rule nary_cong :premises (@p238 @p178 @p204) :args ((or (not @t75) @t137 @t139))) % 0.37/0.60 (assume-push @p289 @t118) % 0.37/0.60 (assume-push @p290 @t119) % 0.37/0.60 (assume-push @p291 @t75) % 0.37/0.60 (step @p210 :rule evaluate :args (@t140)) % 0.37/0.60 (step @p243 :rule symm :premises (@p290)) % 0.37/0.60 (step @p244 :rule trans :premises (@p243 @p289)) % 0.37/0.60 (step @p245 :rule true_intro :premises (@p244)) % 0.37/0.60 (step @p246 :rule false_intro :premises (@p61)) % 0.37/0.60 (step @p247 :rule symm :premises (@p246)) % 0.37/0.60 (step @p248 :rule trans :premises (@p247 @p245)) % 0.37/0.60 (step @p249 false :rule eq_resolve :premises (@p248 @p210)) % 0.37/0.60 (step-pop @p292 :rule scope :premises (@p249)) % 0.37/0.60 (step-pop @p293 :rule scope :premises (@p292)) % 0.37/0.60 (step-pop @p294 :rule scope :premises (@p293)) % 0.37/0.60 (step @p250 :rule process_scope :premises (@p294) :args (false)) % 0.37/0.60 (assume-push @p295 @t75) % 0.37/0.60 (assume-push @p296 @t119) % 0.37/0.60 (assume-push @p297 @t118) % 0.37/0.60 (step @p257 :rule and_intro :premises (@p297 @p296 @p61)) % 0.37/0.60 (step-pop @p298 :rule scope :premises (@p257)) % 0.37/0.60 (step-pop @p299 :rule scope :premises (@p298)) % 0.37/0.60 (step-pop @p300 :rule scope :premises (@p299)) % 0.37/0.60 (step @p258 :rule process_scope :premises (@p300) :args (@t143)) % 0.37/0.60 (step @p262 :rule implies_elim :premises (@p258)) % 0.37/0.60 (step @p263 :rule resolution :premises (@p262 @p250) :args (true @t143)) % 0.37/0.60 (step @p264 :rule not_and :premises (@p263)) % 0.37/0.60 (step @p265 :rule eq_resolve :premises (@p264 @p239)) % 0.37/0.60 (step @p266 false :rule chain_m_resolution :premises (@p265 @p237 @p202 @p61) :args (false (@list false false true) (@list @t119 @t118 @t72))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------