%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS083+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 : n012.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 08:28:53 AM UTC 2026 % Result : Unsatisfiable 0.17s 0.41s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : KRS083+1 : TPTP v9.2.1. Released v3.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 05:27:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.17/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.17/0.41 % SZS status Unsatisfiable % 0.17/0.41 % SZS output start Proof % 0.17/0.42 ( % 0.17/0.42 (declare-sort $$unsorted 0) % 0.17/0.42 (declare-const tptp.i2003_11_14_17_19_32337 $$unsorted) % 0.17/0.42 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.17/0.42 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.17/0.42 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.17/0.42 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.17/0.42 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.17/0.42 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.17/0.42 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.17/0.42 (declare-const tptp.cd (-> $$unsorted Bool)) % 0.17/0.42 (declare-const tptp.cc (-> $$unsorted Bool)) % 0.17/0.42 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.17/0.42 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.17/0.42 (define @t1 () (@var "B" $$unsorted)) % 0.17/0.42 (define @t2 () (@var "A" $$unsorted)) % 0.17/0.42 (define @t3 () (= @t2 @t1)) % 0.17/0.42 (define @t4 () (@list @t2 @t1)) % 0.17/0.42 (define @t5 () (@var "C" $$unsorted)) % 0.17/0.42 (define @t6 () (@list @t2 @t1 @t5)) % 0.17/0.42 (define @t7 () (@var "X" $$unsorted)) % 0.17/0.42 (define @t8 () (not (tptp.cowlNothing @t7))) % 0.17/0.42 (define @t9 () (tptp.cowlThing @t7)) % 0.17/0.42 (define @t10 () (@list @t7)) % 0.17/0.42 (define @t11 () (forall @t10 (and @t9 @t8))) % 0.17/0.42 (define @t12 () (@var "Y" $$unsorted)) % 0.17/0.42 (define @t13 () (tptp.cd @t12)) % 0.17/0.42 (define @t14 () (tptp.rinvF @t7 @t12)) % 0.17/0.42 (define @t15 () (and @t14 @t13)) % 0.17/0.42 (define @t16 () (@list @t12)) % 0.17/0.42 (define @t17 () (exists @t16 @t15)) % 0.17/0.42 (define @t18 () (tptp.cc @t7)) % 0.17/0.42 (define @t19 () (not @t18)) % 0.17/0.42 (define @t20 () (@var "Z" $$unsorted)) % 0.17/0.42 (define @t21 () (tptp.cd @t20)) % 0.17/0.42 (define @t22 () (tptp.rinvF @t12 @t20)) % 0.17/0.42 (define @t23 () (and @t22 @t21)) % 0.17/0.42 (define @t24 () (@list @t20)) % 0.17/0.42 (define @t25 () (exists @t24 @t23)) % 0.17/0.42 (define @t26 () (tptp.rinvR @t7 @t12)) % 0.17/0.42 (define @t27 () (=> @t26 @t25)) % 0.17/0.42 (define @t28 () (forall @t16 @t27)) % 0.17/0.42 (define @t29 () (and @t28 @t19 @t17)) % 0.17/0.42 (define @t30 () (tptp.cUnsatisfiable @t7)) % 0.17/0.42 (define @t31 () (= @t30 @t29)) % 0.17/0.42 (define @t32 () (forall @t10 @t31)) % 0.17/0.42 (define @t33 () (tptp.cc @t12)) % 0.17/0.42 (define @t34 () (not @t33)) % 0.17/0.42 (define @t35 () (tptp.rf @t7 @t12)) % 0.17/0.42 (define @t36 () (and @t35 @t34)) % 0.17/0.42 (define @t37 () (exists @t16 @t36)) % 0.17/0.42 (define @t38 () (and @t37 @t18)) % 0.17/0.42 (define @t39 () (tptp.cd @t7)) % 0.17/0.42 (define @t40 () (= @t39 @t38)) % 0.17/0.42 (define @t41 () (forall @t10 @t40)) % 0.17/0.42 (define @t42 () (@var "Y1" $$unsorted)) % 0.17/0.42 (define @t43 () (@var "Y0" $$unsorted)) % 0.17/0.42 (define @t44 () (= @t43 @t42)) % 0.17/0.42 (define @t45 () (tptp.rf @t7 @t42)) % 0.17/0.42 (define @t46 () (tptp.rf @t7 @t43)) % 0.17/0.42 (define @t47 () (and @t46 @t45)) % 0.17/0.42 (define @t48 () (@list @t43 @t42)) % 0.17/0.42 (define @t49 () (forall @t48 (=> @t47 @t44))) % 0.17/0.42 (define @t50 () (=> @t9 @t49)) % 0.17/0.42 (define @t51 () (forall @t10 @t50)) % 0.17/0.42 (define @t52 () (@list @t7 @t12)) % 0.17/0.42 (define @t53 () (forall @t52 (= @t26 (tptp.rr @t12 @t7)))) % 0.17/0.42 (define @t54 () (tptp.rr @t7 @t12)) % 0.17/0.42 (define @t55 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_19_32337)) % 0.17/0.42 (define @t56 () (forall @t52 (=> @t35 @t54))) % 0.17/0.42 (define @t57 () (not @t35)) % 0.17/0.42 (define @t58 () (forall @t16 (not @t36))) % 0.17/0.42 (define @t59 () (not @t58)) % 0.17/0.42 (define @t60 () (not @t13)) % 0.17/0.42 (define @t61 () (forall @t16 (or (not (tptp.rinvF tptp.i2003_11_14_17_19_32337 @t12)) @t60))) % 0.17/0.42 (define @t62 () (@quantifiers_skolemize @t61 0)) % 0.17/0.42 (define @t63 () (@list @t62)) % 0.17/0.42 (define @t64 () (forall @t16 (not @t15))) % 0.17/0.42 (define @t65 () (not @t64)) % 0.17/0.42 (define @t66 () (not @t21)) % 0.17/0.42 (define @t67 () (not (forall @t24 (or (not @t22) @t66)))) % 0.17/0.42 (define @t68 () (forall @t24 (not @t23))) % 0.17/0.42 (define @t69 () (not @t68)) % 0.17/0.42 (define @t70 () (not @t61)) % 0.17/0.42 (define @t71 () (forall @t16 (or (not (tptp.rinvR tptp.i2003_11_14_17_19_32337 @t12)) @t67))) % 0.17/0.42 (define @t72 () (and @t71 (not (tptp.cc tptp.i2003_11_14_17_19_32337)) @t70)) % 0.17/0.42 (define @t73 () (= @t55 @t72)) % 0.17/0.42 (define @t74 () (@list false false)) % 0.17/0.42 (define @t75 () (not @t72)) % 0.17/0.42 (define @t76 () (@list false)) % 0.17/0.42 (define @t77 () (@list @t72)) % 0.17/0.42 (define @t78 () (tptp.cd @t62)) % 0.17/0.42 (define @t79 () (not @t78)) % 0.17/0.42 (define @t80 () (tptp.rinvF tptp.i2003_11_14_17_19_32337 @t62)) % 0.17/0.42 (define @t81 () (not @t80)) % 0.17/0.42 (define @t82 () (or @t81 @t79)) % 0.17/0.42 (define @t83 () (@list true)) % 0.17/0.42 (define @t84 () (@list @t82)) % 0.17/0.42 (define @t85 () (tptp.cc @t62)) % 0.17/0.42 (define @t86 () (and (not (forall @t16 (or (not (tptp.rf @t62 @t12)) @t33))) @t85)) % 0.17/0.42 (define @t87 () (= @t78 @t86)) % 0.17/0.42 (define @t88 () (@var "BOUND_VARIABLE_7821" $$unsorted)) % 0.17/0.42 (define @t89 () (@var "BOUND_VARIABLE_7819" $$unsorted)) % 0.17/0.42 (define @t90 () (= @t89 @t88)) % 0.17/0.42 (define @t91 () (not (tptp.rf @t7 @t88))) % 0.17/0.42 (define @t92 () (not (tptp.rf @t7 @t89))) % 0.17/0.42 (define @t93 () (not @t9)) % 0.17/0.42 (define @t94 () (or @t92 @t91 @t90)) % 0.17/0.42 (define @t95 () (or @t93 @t94)) % 0.17/0.42 (define @t96 () (forall (@list @t7 @t89 @t88) @t95)) % 0.17/0.42 (define @t97 () (@list @t89 @t88)) % 0.17/0.42 (define @t98 () (forall @t97 @t95)) % 0.17/0.42 (define @t99 () (forall @t97 @t94)) % 0.17/0.42 (define @t100 () (or @t93 @t99)) % 0.17/0.42 (define @t101 () (not @t45)) % 0.17/0.42 (define @t102 () (not @t46)) % 0.17/0.42 (define @t103 () (or @t102 @t101 @t44)) % 0.17/0.42 (define @t104 () (forall @t48 @t103)) % 0.17/0.42 (define @t105 () (forall @t16 (or (not (tptp.rinvF @t62 @t12)) @t60))) % 0.17/0.42 (define @t106 () (@quantifiers_skolemize @t105 0)) % 0.17/0.42 (define @t107 () (forall @t16 (or (not (tptp.rf @t106 @t12)) @t33))) % 0.17/0.42 (define @t108 () (@quantifiers_skolemize @t107 0)) % 0.17/0.42 (define @t109 () (forall @t10 @t8)) % 0.17/0.42 (define @t110 () (@list @t7)) % 0.17/0.42 (define @t111 () (forall @t10 @t9)) % 0.17/0.42 (define @t112 () (and @t111 @t109)) % 0.17/0.42 (define @t113 () (@list @t106)) % 0.17/0.42 (define @t114 () (tptp.rinvR tptp.i2003_11_14_17_19_32337 @t62)) % 0.17/0.42 (define @t115 () (tptp.rr @t62 tptp.i2003_11_14_17_19_32337)) % 0.17/0.42 (define @t116 () (= @t114 @t115)) % 0.17/0.42 (define @t117 () (@list tptp.i2003_11_14_17_19_32337 @t62)) % 0.17/0.42 (define @t118 () (= @t115 @t114)) % 0.17/0.42 (define @t119 () (tptp.rf @t62 tptp.i2003_11_14_17_19_32337)) % 0.17/0.42 (define @t120 () (= @t80 @t119)) % 0.17/0.42 (define @t121 () (not @t119)) % 0.17/0.42 (define @t122 () (or @t121 @t115)) % 0.17/0.42 (define @t123 () (forall @t24 (or (not (tptp.rinvF @t62 @t20)) @t66))) % 0.17/0.42 (define @t124 () (not @t123)) % 0.17/0.42 (define @t125 () (not @t114)) % 0.17/0.42 (define @t126 () (or @t125 @t124)) % 0.17/0.42 (define @t127 () (tptp.cd @t106)) % 0.17/0.42 (define @t128 () (not @t127)) % 0.17/0.42 (define @t129 () (tptp.rinvF @t62 @t106)) % 0.17/0.42 (define @t130 () (not @t129)) % 0.17/0.42 (define @t131 () (or @t130 @t128)) % 0.17/0.42 (define @t132 () (@list @t131)) % 0.17/0.42 (define @t133 () (not @t107)) % 0.17/0.42 (define @t134 () (and @t133 (tptp.cc @t106))) % 0.17/0.42 (define @t135 () (= @t127 @t134)) % 0.17/0.42 (define @t136 () (tptp.rf @t106 @t108)) % 0.17/0.42 (define @t137 () (tptp.cc @t108)) % 0.17/0.42 (define @t138 () (not @t136)) % 0.17/0.42 (define @t139 () (or @t138 @t137)) % 0.17/0.42 (define @t140 () (@list @t139)) % 0.17/0.42 (define @t141 () (tptp.rf @t106 @t62)) % 0.17/0.42 (define @t142 () (= @t129 @t141)) % 0.17/0.42 (define @t143 () (= @t62 @t108)) % 0.17/0.42 (define @t144 () (not @t141)) % 0.17/0.42 (define @t145 () (tptp.cowlThing @t106)) % 0.17/0.42 (define @t146 () (not @t145)) % 0.17/0.42 (define @t147 () (or @t146 @t144 @t138 @t143)) % 0.17/0.42 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.17/0.42 (assume @p2 (forall @t4 (=> (and @t3 (tptp.cc @t2)) (tptp.cc @t1)))) % 0.17/0.42 (assume @p3 (forall @t4 (=> (and @t3 (tptp.cd @t2)) (tptp.cd @t1)))) % 0.17/0.42 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.17/0.42 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.17/0.42 (assume @p6 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.17/0.42 (assume @p7 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.17/0.42 (assume @p8 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.17/0.42 (assume @p9 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.17/0.42 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.17/0.42 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.17/0.42 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.17/0.42 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.17/0.42 (assume @p14 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.17/0.42 (assume @p15 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.17/0.42 (assume @p16 @t11) % 0.17/0.42 (assume @p17 (forall @t10 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.17/0.42 (assume @p18 @t32) % 0.17/0.42 (assume @p19 @t41) % 0.17/0.42 (assume @p20 @t51) % 0.17/0.42 (assume @p21 (forall @t52 (= @t14 (tptp.rf @t12 @t7)))) % 0.17/0.42 (assume @p22 @t53) % 0.17/0.42 (assume @p23 (forall (@list @t7 @t12 @t20) (=> (and @t54 (tptp.rr @t12 @t20)) (tptp.rr @t7 @t20)))) % 0.17/0.42 (assume @p24 @t55) % 0.17/0.42 (assume @p25 @t56) % 0.17/0.42 (step @p26 :rule evaluate :args ((= false true))) % 0.17/0.42 (step @p27 :rule refl :args (@t18)) % 0.17/0.42 (step @p28 :rule bool-double-not-elim :args (@t33)) % 0.17/0.42 (step @p29 :rule refl :args (@t57)) % 0.17/0.42 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t57 (not @t34)))) % 0.17/0.42 (step @p31 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 0.17/0.42 (step @p32 :rule trans :premises (@p31 @p30)) % 0.17/0.42 (step @p33 :rule cong :premises (@p32) :args (@t58)) % 0.17/0.42 (step @p34 :rule cong :premises (@p33) :args (@t59)) % 0.17/0.42 (step @p35 :rule exists-elim :args ((= @t37 @t59))) % 0.17/0.42 (step @p36 :rule trans :premises (@p35 @p34)) % 0.17/0.42 (step @p37 :rule nary_cong :premises (@p36 @p27) :args (@t38)) % 0.17/0.42 (step @p38 :rule refl :args (@t39)) % 0.17/0.42 (step @p39 :rule cong :premises (@p38 @p37) :args (@t40)) % 0.17/0.42 (step @p40 :rule cong :premises (@p39) :args (@t41)) % 0.17/0.42 (step @p41 :rule eq_resolve :premises (@p19 @p40)) % 0.17/0.42 (step @p42 :rule instantiate :premises (@p41) :args (@t63)) % 0.17/0.42 (step @p43 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.17/0.42 (step @p44 :rule cong :premises (@p43) :args (@t64)) % 0.17/0.42 (step @p45 :rule cong :premises (@p44) :args (@t65)) % 0.17/0.42 (step @p46 :rule exists-elim :args ((= @t17 @t65))) % 0.17/0.42 (step @p47 :rule trans :premises (@p46 @p45)) % 0.17/0.42 (step @p48 :rule refl :args (@t19)) % 0.17/0.42 (step @p49 :rule bool-impl-elim :args (@t26 @t67)) % 0.17/0.42 (step @p50 :rule cong :premises (@p49) :args ((forall @t16 (=> @t26 @t67)))) % 0.17/0.42 (step @p51 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 0.17/0.42 (step @p52 :rule cong :premises (@p51) :args (@t68)) % 0.17/0.42 (step @p53 :rule cong :premises (@p52) :args (@t69)) % 0.17/0.42 (step @p54 :rule exists-elim :args ((= @t25 @t69))) % 0.17/0.42 (step @p55 :rule trans :premises (@p54 @p53)) % 0.17/0.42 (step @p56 :rule refl :args (@t26)) % 0.17/0.42 (step @p57 :rule cong :premises (@p56 @p55) :args (@t27)) % 0.17/0.42 (step @p58 :rule cong :premises (@p57) :args (@t28)) % 0.17/0.42 (step @p59 :rule trans :premises (@p58 @p50)) % 0.17/0.42 (step @p60 :rule nary_cong :premises (@p59 @p48 @p47) :args (@t29)) % 0.17/0.42 (step @p61 :rule refl :args (@t30)) % 0.17/0.42 (step @p62 :rule cong :premises (@p61 @p60) :args (@t31)) % 0.17/0.42 (step @p63 :rule cong :premises (@p62) :args (@t32)) % 0.17/0.42 (step @p64 :rule eq_resolve :premises (@p18 @p63)) % 0.17/0.42 (step @p65 :rule instantiate :premises (@p64) :args ((@list tptp.i2003_11_14_17_19_32337))) % 0.17/0.42 (step @p66 :rule cnf_equiv_pos1 :args (@t73)) % 0.17/0.42 (step @p67 :rule reordering :premises (@p66) :args ((or (not @t55) @t72 (not @t73)))) % 0.17/0.42 (step @p68 :rule chain_m_resolution :premises (@p67 @p24 @p65) :args (@t72 @t74 (@list @t55 @t73))) % 0.17/0.42 (step @p69 :rule cnf_and_pos :args (@t72 2)) % 0.17/0.42 (step @p70 :rule reordering :premises (@p69) :args ((or @t70 @t75))) % 0.17/0.42 (step @p71 :rule chain_m_resolution :premises (@p70 @p68) :args (@t70 @t76 @t77)) % 0.17/0.42 (step @p72 :rule skolemize :premises (@p71)) % 0.17/0.42 (step @p73 :rule bool-double-not-elim :args (@t78)) % 0.17/0.42 (step @p74 :rule refl :args (@t82)) % 0.17/0.42 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t82 (not @t79)))) % 0.17/0.42 (step @p76 :rule cnf_or_neg :args (@t82 1)) % 0.17/0.42 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.17/0.42 (step @p78 :rule reordering :premises (@p77) :args ((or @t78 @t82))) % 0.17/0.42 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t78 @t83 @t84)) % 0.17/0.42 (step @p80 :rule cnf_equiv_pos1 :args (@t87)) % 0.17/0.42 (step @p81 :rule reordering :premises (@p80) :args ((or @t79 @t86 (not @t87)))) % 0.17/0.42 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p42) :args (@t86 @t74 (@list @t78 @t87))) % 0.17/0.42 (step @p83 :rule cnf_and_pos :args (@t86 1)) % 0.17/0.42 (step @p84 :rule reordering :premises (@p83) :args ((or @t85 (not @t86)))) % 0.17/0.42 (step @p85 :rule chain_m_resolution :premises (@p84 @p82) :args (@t85 @t76 (@list @t86))) % 0.17/0.42 (step @p86 :rule true_intro :premises (@p85)) % 0.17/0.42 (step @p87 :rule aci_norm :args ((= @t95 (or @t93 @t92 @t91 @t90)))) % 0.17/0.42 (step @p88 :rule cong :premises (@p87) :args (@t96)) % 0.17/0.42 (step @p89 :rule quant-merge-prenex :args ((= (forall @t10 @t98) @t96))) % 0.17/0.42 (step @p90 :rule alpha_equiv :args (@t99 (@list @t89 @t88) (@list @t43 @t42))) % 0.17/0.42 (step @p91 :rule refl :args (@t93)) % 0.17/0.42 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t100)) % 0.17/0.42 (step @p93 :rule quant-miniscope-or :args ((= @t98 @t100))) % 0.17/0.42 (step @p94 :rule trans :premises (@p93 @p92)) % 0.17/0.42 (step @p95 :rule symm :premises (@p94)) % 0.17/0.42 (step @p96 :rule cong :premises (@p95) :args ((forall @t10 (or @t93 @t104)))) % 0.17/0.42 (step @p97 :rule trans :premises (@p96 @p89)) % 0.17/0.42 (step @p98 :rule trans :premises (@p97 @p88)) % 0.17/0.42 (step @p99 :rule bool-impl-elim :args (@t9 @t104)) % 0.17/0.42 (step @p100 :rule cong :premises (@p99) :args ((forall @t10 (=> @t9 @t104)))) % 0.17/0.42 (step @p101 :rule trans :premises (@p100 @p98)) % 0.17/0.42 (step @p102 :rule aci_norm :args ((= (or (or @t102 @t101) @t44) @t103))) % 0.17/0.42 (step @p103 :rule refl :args (@t44)) % 0.17/0.42 (step @p104 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 0.17/0.42 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or (not @t47) @t44))) % 0.17/0.42 (step @p106 :rule trans :premises (@p105 @p102)) % 0.17/0.42 (step @p107 :rule bool-impl-elim :args (@t47 @t44)) % 0.17/0.42 (step @p108 :rule trans :premises (@p107 @p106)) % 0.17/0.42 (step @p109 :rule cong :premises (@p108) :args (@t49)) % 0.17/0.42 (step @p110 :rule refl :args (@t9)) % 0.17/0.42 (step @p111 :rule cong :premises (@p110 @p109) :args (@t50)) % 0.17/0.42 (step @p112 :rule cong :premises (@p111) :args (@t51)) % 0.17/0.42 (step @p113 :rule trans :premises (@p112 @p101)) % 0.17/0.42 (step @p114 :rule eq_resolve :premises (@p20 @p113)) % 0.17/0.42 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t106 @t62 @t108))) % 0.17/0.42 (step @p116 :rule alpha_equiv :args (@t109 @t110 (@list (@var "BOUND_VARIABLE_7764" $$unsorted)))) % 0.17/0.42 (step @p117 :rule alpha_equiv :args (@t111 @t110 (@list (@var "BOUND_VARIABLE_7759" $$unsorted)))) % 0.17/0.42 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t112)) % 0.17/0.42 (step @p119 :rule quant-miniscope-and :args ((= @t11 @t112))) % 0.17/0.42 (step @p120 :rule trans :premises (@p119 @p118)) % 0.17/0.42 (step @p121 :rule eq_resolve :premises (@p16 @p120)) % 0.17/0.42 (step @p122 :rule and_elim :premises (@p121) :args (0)) % 0.17/0.42 (step @p123 :rule instantiate :premises (@p122) :args (@t113)) % 0.17/0.42 (step @p124 :rule instantiate :premises (@p41) :args (@t113)) % 0.17/0.42 (step @p125 :rule cnf_and_pos :args (@t72 0)) % 0.17/0.42 (step @p126 :rule reordering :premises (@p125) :args ((or @t71 @t75))) % 0.17/0.42 (step @p127 :rule chain_m_resolution :premises (@p126 @p68) :args (@t71 @t76 @t77)) % 0.17/0.42 (step @p128 :rule instantiate :premises (@p127) :args (@t63)) % 0.17/0.42 (step @p129 :rule eq-symm :args (@t114 @t115)) % 0.17/0.42 (step @p130 :rule refl :args (@t53)) % 0.17/0.42 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t53 @t116))) % 0.17/0.42 (assume-push @p208 @t53) % 0.17/0.42 (step @p133 :rule instantiate :premises (@p22) :args (@t117)) % 0.17/0.42 (step-pop @p209 :rule scope :premises (@p133)) % 0.17/0.42 (step @p134 :rule process_scope :premises (@p209) :args (@t116)) % 0.17/0.42 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 0.17/0.42 (step @p137 :rule implies_elim :premises (@p136)) % 0.17/0.42 (step @p138 :rule chain_m_resolution :premises (@p137 @p22) :args (@t118 @t76 (@list @t53))) % 0.17/0.42 (step @p139 :rule bool-impl-elim :args (@t35 @t54)) % 0.17/0.42 (step @p140 :rule cong :premises (@p139) :args (@t56)) % 0.17/0.42 (step @p141 :rule eq_resolve :premises (@p25 @p140)) % 0.17/0.42 (step @p142 :rule instantiate :premises (@p141) :args ((@list @t62 tptp.i2003_11_14_17_19_32337))) % 0.17/0.42 (step @p143 :rule instantiate :premises (@p21) :args (@t117)) % 0.17/0.42 (step @p144 :rule bool-double-not-elim :args (@t80)) % 0.17/0.42 (step @p145 :rule nary_cong :premises (@p74 @p144) :args ((or @t82 (not @t81)))) % 0.17/0.42 (step @p146 :rule cnf_or_neg :args (@t82 0)) % 0.17/0.42 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.17/0.42 (step @p148 :rule reordering :premises (@p147) :args ((or @t80 @t82))) % 0.17/0.42 (step @p149 :rule chain_m_resolution :premises (@p148 @p72) :args (@t80 @t83 @t84)) % 0.17/0.42 (step @p150 :rule cnf_equiv_pos1 :args (@t120)) % 0.17/0.42 (step @p151 :rule reordering :premises (@p150) :args ((or @t81 @t119 (not @t120)))) % 0.17/0.42 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p143) :args (@t119 @t74 (@list @t80 @t120))) % 0.17/0.42 (step @p153 :rule cnf_or_pos :args (@t122)) % 0.17/0.42 (step @p154 :rule reordering :premises (@p153) :args ((or @t121 @t115 (not @t122)))) % 0.17/0.42 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p142) :args (@t115 @t74 (@list @t119 @t122))) % 0.17/0.42 (step @p156 :rule cnf_equiv_pos1 :args (@t118)) % 0.17/0.42 (step @p157 :rule reordering :premises (@p156) :args ((or (not @t115) @t114 (not @t118)))) % 0.17/0.42 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p138) :args (@t114 @t74 (@list @t115 @t118))) % 0.17/0.42 (step @p159 :rule cnf_or_pos :args (@t126)) % 0.17/0.42 (step @p160 :rule reordering :premises (@p159) :args ((or @t125 @t124 (not @t126)))) % 0.17/0.42 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p128) :args (@t124 @t74 (@list @t114 @t126))) % 0.17/0.42 (step @p162 :rule alpha_equiv :args (@t105 (@list @t12) (@list @t20))) % 0.17/0.42 (step @p163 :rule equiv_elim1 :premises (@p162)) % 0.17/0.42 (step @p164 :rule chain_m_resolution :premises (@p163 @p161) :args ((not @t105) @t83 (@list @t123))) % 0.17/0.42 (step @p165 :rule skolemize :premises (@p164)) % 0.17/0.42 (step @p166 :rule bool-double-not-elim :args (@t127)) % 0.17/0.42 (step @p167 :rule refl :args (@t131)) % 0.17/0.42 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t131 (not @t128)))) % 0.17/0.42 (step @p169 :rule cnf_or_neg :args (@t131 1)) % 0.17/0.42 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.17/0.42 (step @p171 :rule reordering :premises (@p170) :args ((or @t127 @t131))) % 0.17/0.42 (step @p172 :rule chain_m_resolution :premises (@p171 @p165) :args (@t127 @t83 @t132)) % 0.17/0.42 (step @p173 :rule cnf_equiv_pos1 :args (@t135)) % 0.17/0.42 (step @p174 :rule reordering :premises (@p173) :args ((or @t128 @t134 (not @t135)))) % 0.17/0.42 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p124) :args (@t134 @t74 (@list @t127 @t135))) % 0.17/0.42 (step @p176 :rule cnf_and_pos :args (@t134 0)) % 0.17/0.42 (step @p177 :rule reordering :premises (@p176) :args ((or @t133 (not @t134)))) % 0.17/0.42 (step @p178 :rule chain_m_resolution :premises (@p177 @p175) :args (@t133 @t76 (@list @t134))) % 0.17/0.42 (step @p179 :rule skolemize :premises (@p178)) % 0.17/0.42 (step @p180 :rule bool-double-not-elim :args (@t136)) % 0.17/0.42 (step @p181 :rule refl :args (@t139)) % 0.17/0.42 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t139 (not @t138)))) % 0.17/0.42 (step @p183 :rule cnf_or_neg :args (@t139 0)) % 0.17/0.42 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 0.17/0.42 (step @p185 :rule reordering :premises (@p184) :args ((or @t136 @t139))) % 0.17/0.42 (step @p186 :rule chain_m_resolution :premises (@p185 @p179) :args (@t136 @t83 @t140)) % 0.17/0.42 (step @p187 :rule instantiate :premises (@p21) :args ((@list @t62 @t106))) % 0.17/0.42 (step @p188 :rule bool-double-not-elim :args (@t129)) % 0.17/0.42 (step @p189 :rule nary_cong :premises (@p167 @p188) :args ((or @t131 (not @t130)))) % 0.17/0.42 (step @p190 :rule cnf_or_neg :args (@t131 0)) % 0.17/0.42 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.17/0.42 (step @p192 :rule reordering :premises (@p191) :args ((or @t129 @t131))) % 0.17/0.42 (step @p193 :rule chain_m_resolution :premises (@p192 @p165) :args (@t129 @t83 @t132)) % 0.17/0.42 (step @p194 :rule cnf_equiv_pos1 :args (@t142)) % 0.17/0.42 (step @p195 :rule reordering :premises (@p194) :args ((or @t130 @t141 (not @t142)))) % 0.17/0.42 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p187) :args (@t141 @t74 (@list @t129 @t142))) % 0.17/0.42 (step @p197 :rule cnf_or_pos :args (@t147)) % 0.17/0.42 (step @p198 :rule reordering :premises (@p197) :args ((or @t144 @t138 @t146 @t143 (not @t147)))) % 0.17/0.42 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p186 @p123 @p115) :args (@t143 (@list false false false false) (@list @t141 @t136 @t145 @t147))) % 0.17/0.42 (step @p200 :rule symm :premises (@p199)) % 0.17/0.42 (step @p201 :rule cong :premises (@p200) :args (@t137)) % 0.17/0.42 (step @p202 :rule cnf_or_neg :args (@t139 1)) % 0.17/0.42 (step @p203 :rule chain_m_resolution :premises (@p202 @p179) :args ((not @t137) @t83 @t140)) % 0.17/0.42 (step @p204 :rule false_intro :premises (@p203)) % 0.17/0.42 (step @p205 :rule symm :premises (@p204)) % 0.17/0.42 (step @p206 :rule trans :premises (@p205 @p201 @p86)) % 0.17/0.42 (step @p207 false :rule eq_resolve :premises (@p206 @p26)) % 0.17/0.42 ) % 0.17/0.43 % SZS output end Proof % 0.17/0.43 % cvc5 exiting %------------------------------------------------------------------------------