%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS112+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 : n001.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 08:28:56 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : KRS112+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 05:28:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Unsatisfiable % 0.39/0.58 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.ca_Ax2 (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.i2003_11_14_17_21_19256 $$unsorted) % 0.39/0.60 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.ca_Vx3 (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.rinvF1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.cp (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.rf (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.cpxcomp (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.rf1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.rinvF (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.rinvS (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.60 (define @t3 () (= @t2 @t1)) % 0.39/0.60 (define @t4 () (@list @t2 @t1)) % 0.39/0.60 (define @t5 () (@var "C" $$unsorted)) % 0.39/0.60 (define @t6 () (@list @t2 @t1 @t5)) % 0.39/0.60 (define @t7 () (@var "X" $$unsorted)) % 0.39/0.60 (define @t8 () (@list @t7)) % 0.39/0.60 (define @t9 () (@var "Y" $$unsorted)) % 0.39/0.60 (define @t10 () (tptp.cp @t9)) % 0.39/0.60 (define @t11 () (tptp.rf @t7 @t9)) % 0.39/0.60 (define @t12 () (and @t11 @t10)) % 0.39/0.60 (define @t13 () (@list @t9)) % 0.39/0.60 (define @t14 () (exists @t13 @t12)) % 0.39/0.60 (define @t15 () (tptp.ca_Ax2 @t9)) % 0.39/0.60 (define @t16 () (tptp.rf1 @t7 @t9)) % 0.39/0.60 (define @t17 () (and @t16 @t15)) % 0.39/0.60 (define @t18 () (exists @t13 @t17)) % 0.39/0.60 (define @t19 () (and @t18 @t14)) % 0.39/0.60 (define @t20 () (tptp.cUnsatisfiable @t7)) % 0.39/0.60 (define @t21 () (= @t20 @t19)) % 0.39/0.60 (define @t22 () (forall @t8 @t21)) % 0.39/0.60 (define @t23 () (tptp.ra_Px1 @t7 @t9)) % 0.39/0.60 (define @t24 () (exists @t13 @t23)) % 0.39/0.60 (define @t25 () (not @t24)) % 0.39/0.60 (define @t26 () (tptp.cp @t7)) % 0.39/0.60 (define @t27 () (= @t26 @t25)) % 0.39/0.60 (define @t28 () (forall @t8 @t27)) % 0.39/0.60 (define @t29 () (@var "Y0" $$unsorted)) % 0.39/0.60 (define @t30 () (tptp.ra_Px1 @t7 @t29)) % 0.39/0.60 (define @t31 () (@list @t29)) % 0.39/0.60 (define @t32 () (exists @t31 @t30)) % 0.39/0.60 (define @t33 () (tptp.cpxcomp @t7)) % 0.39/0.60 (define @t34 () (= @t33 @t32)) % 0.39/0.60 (define @t35 () (forall @t8 @t34)) % 0.39/0.60 (define @t36 () (tptp.ca_Vx3 @t9)) % 0.39/0.60 (define @t37 () (tptp.rinvF1 @t7 @t9)) % 0.39/0.60 (define @t38 () (forall @t13 (=> @t37 @t36))) % 0.39/0.60 (define @t39 () (and @t33 @t38)) % 0.39/0.60 (define @t40 () (tptp.ca_Ax2 @t7)) % 0.39/0.60 (define @t41 () (= @t40 @t39)) % 0.39/0.60 (define @t42 () (forall @t8 @t41)) % 0.39/0.60 (define @t43 () (tptp.cowlThing @t9)) % 0.39/0.60 (define @t44 () (tptp.rs @t7 @t9)) % 0.39/0.60 (define @t45 () (and @t44 @t43)) % 0.39/0.60 (define @t46 () (exists @t13 @t45)) % 0.39/0.60 (define @t47 () (tptp.ca_Vx3 @t7)) % 0.39/0.60 (define @t48 () (= @t47 @t46)) % 0.39/0.60 (define @t49 () (forall @t8 @t48)) % 0.39/0.60 (define @t50 () (@var "Z" $$unsorted)) % 0.39/0.60 (define @t51 () (= @t9 @t50)) % 0.39/0.60 (define @t52 () (tptp.rf @t7 @t50)) % 0.39/0.60 (define @t53 () (and @t11 @t52)) % 0.39/0.60 (define @t54 () (@list @t7 @t9 @t50)) % 0.39/0.60 (define @t55 () (forall @t54 (=> @t53 @t51))) % 0.39/0.60 (define @t56 () (tptp.rf1 @t7 @t50)) % 0.39/0.60 (define @t57 () (and @t16 @t56)) % 0.39/0.60 (define @t58 () (forall @t54 (=> @t57 @t51))) % 0.39/0.60 (define @t59 () (@list @t7 @t9)) % 0.39/0.60 (define @t60 () (forall @t59 (= @t37 (tptp.rf1 @t9 @t7)))) % 0.39/0.60 (define @t61 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_19256)) % 0.39/0.60 (define @t62 () (forall @t59 (=> @t44 @t11))) % 0.39/0.60 (define @t63 () (forall @t59 (=> @t44 @t16))) % 0.39/0.60 (define @t64 () (forall @t13 (not @t23))) % 0.39/0.60 (define @t65 () (forall @t13 (or (not (tptp.rf tptp.i2003_11_14_17_21_19256 @t9)) (not @t10)))) % 0.39/0.60 (define @t66 () (@quantifiers_skolemize @t65 0)) % 0.39/0.60 (define @t67 () (forall @t13 (not @t12))) % 0.39/0.60 (define @t68 () (not @t67)) % 0.39/0.60 (define @t69 () (forall @t13 (not @t17))) % 0.39/0.60 (define @t70 () (not @t69)) % 0.39/0.60 (define @t71 () (@list tptp.i2003_11_14_17_21_19256)) % 0.39/0.60 (define @t72 () (not @t65)) % 0.39/0.60 (define @t73 () (forall @t13 (or (not (tptp.rf1 tptp.i2003_11_14_17_21_19256 @t9)) (not @t15)))) % 0.39/0.60 (define @t74 () (not @t73)) % 0.39/0.60 (define @t75 () (and @t74 @t72)) % 0.39/0.60 (define @t76 () (= @t61 @t75)) % 0.39/0.60 (define @t77 () (@list false false)) % 0.39/0.60 (define @t78 () (not @t75)) % 0.39/0.60 (define @t79 () (@list false)) % 0.39/0.60 (define @t80 () (@list @t75)) % 0.39/0.60 (define @t81 () (tptp.cp @t66)) % 0.39/0.60 (define @t82 () (not @t81)) % 0.39/0.60 (define @t83 () (tptp.rf tptp.i2003_11_14_17_21_19256 @t66)) % 0.39/0.60 (define @t84 () (not @t83)) % 0.39/0.60 (define @t85 () (or @t84 @t82)) % 0.39/0.60 (define @t86 () (@list true)) % 0.39/0.60 (define @t87 () (@list @t85)) % 0.39/0.60 (define @t88 () (forall @t13 (not (tptp.ra_Px1 @t66 @t9)))) % 0.39/0.60 (define @t89 () (= @t81 @t88)) % 0.39/0.60 (define @t90 () (@quantifiers_skolemize @t73 0)) % 0.39/0.60 (define @t91 () (@list @t90)) % 0.39/0.60 (define @t92 () (tptp.ca_Ax2 @t90)) % 0.39/0.60 (define @t93 () (not @t92)) % 0.39/0.60 (define @t94 () (tptp.rf1 tptp.i2003_11_14_17_21_19256 @t90)) % 0.39/0.60 (define @t95 () (not @t94)) % 0.39/0.60 (define @t96 () (or @t95 @t93)) % 0.39/0.60 (define @t97 () (@list @t96)) % 0.39/0.60 (define @t98 () (forall @t13 (or (not (tptp.rinvF1 @t90 @t9)) @t36))) % 0.39/0.60 (define @t99 () (tptp.cpxcomp @t90)) % 0.39/0.60 (define @t100 () (and @t99 @t98)) % 0.39/0.60 (define @t101 () (= @t92 @t100)) % 0.39/0.60 (define @t102 () (not @t100)) % 0.39/0.60 (define @t103 () (@list @t100)) % 0.39/0.60 (define @t104 () (forall @t31 (not (tptp.ra_Px1 @t90 @t29)))) % 0.39/0.60 (define @t105 () (not @t104)) % 0.39/0.60 (define @t106 () (= @t99 @t105)) % 0.39/0.60 (define @t107 () (@quantifiers_skolemize @t104 0)) % 0.39/0.60 (define @t108 () (tptp.ra_Px1 @t90 @t107)) % 0.39/0.60 (define @t109 () (not (not @t108))) % 0.39/0.60 (define @t110 () (not @t56)) % 0.39/0.60 (define @t111 () (not @t16)) % 0.39/0.60 (define @t112 () (forall @t13 (or (not (tptp.rs tptp.i2003_11_14_17_21_19256 @t9)) (not @t43)))) % 0.39/0.60 (define @t113 () (@quantifiers_skolemize @t112 0)) % 0.39/0.60 (define @t114 () (@list tptp.i2003_11_14_17_21_19256 @t113)) % 0.39/0.60 (define @t115 () (forall @t13 (not @t45))) % 0.39/0.60 (define @t116 () (not @t115)) % 0.39/0.60 (define @t117 () (tptp.rinvF1 @t90 tptp.i2003_11_14_17_21_19256)) % 0.39/0.60 (define @t118 () (= @t117 @t94)) % 0.39/0.60 (define @t119 () (= @t94 @t117)) % 0.39/0.60 (define @t120 () (tptp.ca_Vx3 tptp.i2003_11_14_17_21_19256)) % 0.39/0.60 (define @t121 () (not @t117)) % 0.39/0.60 (define @t122 () (or @t121 @t120)) % 0.39/0.60 (define @t123 () (not @t112)) % 0.39/0.60 (define @t124 () (= @t120 @t123)) % 0.39/0.60 (define @t125 () (tptp.rs tptp.i2003_11_14_17_21_19256 @t113)) % 0.39/0.60 (define @t126 () (not @t125)) % 0.39/0.60 (define @t127 () (or @t126 (not (tptp.cowlThing @t113)))) % 0.39/0.60 (define @t128 () (tptp.rf1 tptp.i2003_11_14_17_21_19256 @t113)) % 0.39/0.60 (define @t129 () (or @t126 @t128)) % 0.39/0.60 (define @t130 () (= @t90 @t113)) % 0.39/0.60 (define @t131 () (not @t128)) % 0.39/0.60 (define @t132 () (or @t95 @t131 @t130)) % 0.39/0.60 (define @t133 () (@list false false false)) % 0.39/0.60 (define @t134 () (not @t52)) % 0.39/0.60 (define @t135 () (not @t11)) % 0.39/0.60 (define @t136 () (tptp.rf tptp.i2003_11_14_17_21_19256 @t113)) % 0.39/0.60 (define @t137 () (or @t126 @t136)) % 0.39/0.60 (define @t138 () (= @t66 @t113)) % 0.39/0.60 (define @t139 () (not @t136)) % 0.39/0.60 (define @t140 () (or @t84 @t139 @t138)) % 0.39/0.60 (define @t141 () (tptp.ra_Px1 @t66 @t107)) % 0.39/0.60 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.39/0.60 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Ax2 @t2)) (tptp.ca_Ax2 @t1)))) % 0.39/0.60 (assume @p3 (forall @t4 (=> (and @t3 (tptp.ca_Vx3 @t2)) (tptp.ca_Vx3 @t1)))) % 0.39/0.60 (assume @p4 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.39/0.60 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.39/0.60 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cp @t2)) (tptp.cp @t1)))) % 0.39/0.60 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cpxcomp @t2)) (tptp.cpxcomp @t1)))) % 0.39/0.60 (assume @p8 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.39/0.60 (assume @p9 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.39/0.60 (assume @p10 (forall @t6 (=> (and @t3 (tptp.rf @t2 @t5)) (tptp.rf @t1 @t5)))) % 0.39/0.60 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rf @t5 @t2)) (tptp.rf @t5 @t1)))) % 0.39/0.60 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rf1 @t2 @t5)) (tptp.rf1 @t1 @t5)))) % 0.39/0.60 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rf1 @t5 @t2)) (tptp.rf1 @t5 @t1)))) % 0.39/0.60 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rinvF @t2 @t5)) (tptp.rinvF @t1 @t5)))) % 0.39/0.60 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rinvF @t5 @t2)) (tptp.rinvF @t5 @t1)))) % 0.39/0.60 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t2 @t5)) (tptp.rinvF1 @t1 @t5)))) % 0.39/0.60 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rinvF1 @t5 @t2)) (tptp.rinvF1 @t5 @t1)))) % 0.39/0.60 (assume @p18 (forall @t6 (=> (and @t3 (tptp.rinvS @t2 @t5)) (tptp.rinvS @t1 @t5)))) % 0.39/0.60 (assume @p19 (forall @t6 (=> (and @t3 (tptp.rinvS @t5 @t2)) (tptp.rinvS @t5 @t1)))) % 0.39/0.60 (assume @p20 (forall @t6 (=> (and @t3 (tptp.rs @t2 @t5)) (tptp.rs @t1 @t5)))) % 0.39/0.60 (assume @p21 (forall @t6 (=> (and @t3 (tptp.rs @t5 @t2)) (tptp.rs @t5 @t1)))) % 0.39/0.60 (assume @p22 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.39/0.60 (assume @p23 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.39/0.60 (assume @p24 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.39/0.60 (assume @p25 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.39/0.60 (assume @p26 @t22) % 0.39/0.60 (assume @p27 @t28) % 0.39/0.60 (assume @p28 @t35) % 0.39/0.60 (assume @p29 @t42) % 0.39/0.60 (assume @p30 @t49) % 0.39/0.60 (assume @p31 @t55) % 0.39/0.60 (assume @p32 @t58) % 0.39/0.60 (assume @p33 (forall @t59 (= (tptp.rinvF @t7 @t9) (tptp.rf @t9 @t7)))) % 0.39/0.60 (assume @p34 @t60) % 0.39/0.60 (assume @p35 (forall @t59 (= (tptp.rinvS @t7 @t9) (tptp.rs @t9 @t7)))) % 0.39/0.60 (assume @p36 (forall @t54 (=> (and @t44 (tptp.rs @t7 @t50)) @t51))) % 0.39/0.60 (assume @p37 @t61) % 0.39/0.60 (assume @p38 @t62) % 0.39/0.60 (assume @p39 @t63) % 0.39/0.60 (step @p40 :rule bool-double-not-elim :args (@t64)) % 0.39/0.60 (step @p41 :rule exists-elim :args ((= @t24 (not @t64)))) % 0.39/0.60 (step @p42 :rule cong :premises (@p41) :args (@t25)) % 0.39/0.60 (step @p43 :rule trans :premises (@p42 @p40)) % 0.39/0.60 (step @p44 :rule refl :args (@t26)) % 0.39/0.60 (step @p45 :rule cong :premises (@p44 @p43) :args (@t27)) % 0.39/0.60 (step @p46 :rule cong :premises (@p45) :args (@t28)) % 0.39/0.60 (step @p47 :rule eq_resolve :premises (@p27 @p46)) % 0.39/0.60 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t66))) % 0.39/0.60 (step @p49 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.39/0.60 (step @p50 :rule cong :premises (@p49) :args (@t67)) % 0.39/0.60 (step @p51 :rule cong :premises (@p50) :args (@t68)) % 0.39/0.60 (step @p52 :rule exists-elim :args ((= @t14 @t68))) % 0.39/0.60 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.60 (step @p54 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.39/0.60 (step @p55 :rule cong :premises (@p54) :args (@t69)) % 0.39/0.60 (step @p56 :rule cong :premises (@p55) :args (@t70)) % 0.39/0.60 (step @p57 :rule exists-elim :args ((= @t18 @t70))) % 0.39/0.60 (step @p58 :rule trans :premises (@p57 @p56)) % 0.39/0.60 (step @p59 :rule nary_cong :premises (@p58 @p53) :args (@t19)) % 0.39/0.60 (step @p60 :rule refl :args (@t20)) % 0.39/0.60 (step @p61 :rule cong :premises (@p60 @p59) :args (@t21)) % 0.39/0.60 (step @p62 :rule cong :premises (@p61) :args (@t22)) % 0.39/0.60 (step @p63 :rule eq_resolve :premises (@p26 @p62)) % 0.39/0.60 (step @p64 :rule instantiate :premises (@p63) :args (@t71)) % 0.39/0.60 (step @p65 :rule cnf_equiv_pos1 :args (@t76)) % 0.39/0.60 (step @p66 :rule reordering :premises (@p65) :args ((or (not @t61) @t75 (not @t76)))) % 0.39/0.60 (step @p67 :rule chain_m_resolution :premises (@p66 @p37 @p64) :args (@t75 @t77 (@list @t61 @t76))) % 0.39/0.60 (step @p68 :rule cnf_and_pos :args (@t75 1)) % 0.39/0.60 (step @p69 :rule reordering :premises (@p68) :args ((or @t72 @t78))) % 0.39/0.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p67) :args (@t72 @t79 @t80)) % 0.39/0.60 (step @p71 :rule skolemize :premises (@p70)) % 0.39/0.60 (step @p72 :rule bool-double-not-elim :args (@t81)) % 0.39/0.60 (step @p73 :rule refl :args (@t85)) % 0.39/0.60 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t85 (not @t82)))) % 0.39/0.60 (step @p75 :rule cnf_or_neg :args (@t85 1)) % 0.39/0.60 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.39/0.60 (step @p77 :rule reordering :premises (@p76) :args ((or @t81 @t85))) % 0.39/0.60 (step @p78 :rule chain_m_resolution :premises (@p77 @p71) :args (@t81 @t86 @t87)) % 0.39/0.60 (step @p79 :rule cnf_equiv_pos1 :args (@t89)) % 0.39/0.60 (step @p80 :rule reordering :premises (@p79) :args ((or @t82 @t88 (not @t89)))) % 0.39/0.60 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p48) :args (@t88 @t77 (@list @t81 @t89))) % 0.39/0.60 (step @p82 :rule exists-elim :args ((= @t32 (not (forall @t31 (not @t30)))))) % 0.39/0.60 (step @p83 :rule refl :args (@t33)) % 0.39/0.60 (step @p84 :rule cong :premises (@p83 @p82) :args (@t34)) % 0.39/0.60 (step @p85 :rule cong :premises (@p84) :args (@t35)) % 0.39/0.60 (step @p86 :rule eq_resolve :premises (@p28 @p85)) % 0.39/0.60 (step @p87 :rule instantiate :premises (@p86) :args (@t91)) % 0.39/0.60 (step @p88 :rule bool-impl-elim :args (@t37 @t36)) % 0.39/0.60 (step @p89 :rule cong :premises (@p88) :args (@t38)) % 0.39/0.60 (step @p90 :rule nary_cong :premises (@p83 @p89) :args (@t39)) % 0.39/0.60 (step @p91 :rule refl :args (@t40)) % 0.39/0.60 (step @p92 :rule cong :premises (@p91 @p90) :args (@t41)) % 0.39/0.60 (step @p93 :rule cong :premises (@p92) :args (@t42)) % 0.39/0.60 (step @p94 :rule eq_resolve :premises (@p29 @p93)) % 0.39/0.60 (step @p95 :rule instantiate :premises (@p94) :args (@t91)) % 0.39/0.60 (step @p96 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@p106 @p95) :args (@t100 @t77 (@list @t92 @t101))) % 0.39/0.60 (step @p110 :rule cnf_and_pos :args (@t100 0)) % 0.39/0.60 (step @p111 :rule reordering :premises (@p110) :args ((or @t99 @t102))) % 0.39/0.60 (step @p112 :rule chain_m_resolution :premises (@p111 @p109) :args (@t99 @t79 @t103)) % 0.39/0.60 (step @p113 :rule cnf_equiv_pos1 :args (@t106)) % 0.39/0.60 (step @p114 :rule reordering :premises (@p113) :args ((or (not @t99) @t105 (not @t106)))) % 0.39/0.60 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p87) :args (@t105 @t77 (@list @t99 @t106))) % 0.39/0.60 (step @p116 :rule refl :args (@t108)) % 0.39/0.60 (step @p117 :rule bool-double-not-elim :args (@t104)) % 0.39/0.60 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t105) @t108))) % 0.39/0.60 (step @p119 :rule bool-double-not-elim :args (@t108)) % 0.39/0.60 (step @p120 :rule refl :args (@t105)) % 0.39/0.60 (step @p121 :rule cong :premises (@p120 @p119) :args ((=> @t105 @t109))) % 0.39/0.60 (assume-push @p235 @t105) % 0.39/0.60 (step @p123 :rule skolemize :premises (@p115)) % 0.39/0.60 (step-pop @p236 :rule scope :premises (@p123)) % 0.39/0.60 (step @p124 :rule process_scope :premises (@p236) :args (@t109)) % 0.39/0.60 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 0.39/0.60 (step @p127 :rule implies_elim :premises (@p126)) % 0.39/0.60 (step @p128 :rule eq_resolve :premises (@p127 @p118)) % 0.39/0.60 (step @p129 :rule chain_m_resolution :premises (@p128 @p115) :args (@t108 @t86 (@list @t104))) % 0.39/0.60 (step @p130 :rule true_intro :premises (@p129)) % 0.39/0.60 (step @p131 :rule refl :args (@t107)) % 0.39/0.60 (step @p132 :rule aci_norm :args ((= (or (or @t111 @t110) @t51) (or @t111 @t110 @t51)))) % 0.39/0.60 (step @p133 :rule refl :args (@t51)) % 0.39/0.60 (step @p134 :rule bool-and-de-morgan :args (@t16 @t56 true)) % 0.39/0.60 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t57) @t51))) % 0.39/0.60 (step @p136 :rule trans :premises (@p135 @p132)) % 0.39/0.60 (step @p137 :rule bool-impl-elim :args (@t57 @t51)) % 0.39/0.60 (step @p138 :rule trans :premises (@p137 @p136)) % 0.39/0.60 (step @p139 :rule cong :premises (@p138) :args (@t58)) % 0.39/0.60 (step @p140 :rule eq_resolve :premises (@p32 @p139)) % 0.39/0.60 (step @p141 :rule instantiate :premises (@p140) :args ((@list tptp.i2003_11_14_17_21_19256 @t90 @t113))) % 0.39/0.60 (step @p142 :rule bool-impl-elim :args (@t44 @t16)) % 0.39/0.60 (step @p143 :rule cong :premises (@p142) :args (@t63)) % 0.39/0.60 (step @p144 :rule eq_resolve :premises (@p39 @p143)) % 0.39/0.60 (step @p145 :rule instantiate :premises (@p144) :args (@t114)) % 0.39/0.60 (step @p146 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 0.39/0.60 (step @p147 :rule cong :premises (@p146) :args (@t115)) % 0.39/0.60 (step @p148 :rule cong :premises (@p147) :args (@t116)) % 0.39/0.60 (step @p149 :rule exists-elim :args ((= @t46 @t116))) % 0.39/0.60 (step @p150 :rule trans :premises (@p149 @p148)) % 0.39/0.60 (step @p151 :rule refl :args (@t47)) % 0.39/0.60 (step @p152 :rule cong :premises (@p151 @p150) :args (@t48)) % 0.39/0.60 (step @p153 :rule cong :premises (@p152) :args (@t49)) % 0.39/0.60 (step @p154 :rule eq_resolve :premises (@p30 @p153)) % 0.39/0.60 (step @p155 :rule instantiate :premises (@p154) :args (@t71)) % 0.39/0.60 (step @p156 :rule cnf_and_pos :args (@t100 1)) % 0.39/0.60 (step @p157 :rule reordering :premises (@p156) :args ((or @t98 @t102))) % 0.39/0.60 (step @p158 :rule chain_m_resolution :premises (@p157 @p109) :args (@t98 @t79 @t103)) % 0.39/0.60 (step @p159 :rule instantiate :premises (@p158) :args (@t71)) % 0.39/0.60 (step @p160 :rule eq-symm :args (@t117 @t94)) % 0.39/0.60 (step @p161 :rule refl :args (@t60)) % 0.39/0.60 (step @p162 :rule cong :premises (@p161 @p160) :args ((=> @t60 @t118))) % 0.39/0.60 (assume-push @p237 @t60) % 0.39/0.60 (step @p164 :rule instantiate :premises (@p34) :args ((@list @t90 tptp.i2003_11_14_17_21_19256))) % 0.39/0.60 (step-pop @p238 :rule scope :premises (@p164)) % 0.39/0.60 (step @p165 :rule process_scope :premises (@p238) :args (@t118)) % 0.39/0.60 (step @p167 :rule eq_resolve :premises (@p165 @p162)) % 0.39/0.60 (step @p168 :rule implies_elim :premises (@p167)) % 0.39/0.60 (step @p169 :rule chain_m_resolution :premises (@p168 @p34) :args (@t119 @t79 (@list @t60))) % 0.39/0.60 (step @p170 :rule bool-double-not-elim :args (@t94)) % 0.39/0.60 (step @p171 :rule nary_cong :premises (@p101 @p170) :args ((or @t96 (not @t95)))) % 0.39/0.60 (step @p172 :rule cnf_or_neg :args (@t96 0)) % 0.39/0.60 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.39/0.60 (step @p174 :rule reordering :premises (@p173) :args ((or @t94 @t96))) % 0.39/0.60 (step @p175 :rule chain_m_resolution :premises (@p174 @p99) :args (@t94 @t86 @t97)) % 0.39/0.60 (step @p176 :rule cnf_equiv_pos1 :args (@t119)) % 0.39/0.60 (step @p177 :rule reordering :premises (@p176) :args ((or @t95 @t117 (not @t119)))) % 0.39/0.60 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p169) :args (@t117 @t77 (@list @t94 @t119))) % 0.39/0.60 (step @p179 :rule cnf_or_pos :args (@t122)) % 0.39/0.60 (step @p180 :rule reordering :premises (@p179) :args ((or @t121 @t120 (not @t122)))) % 0.39/0.60 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p159) :args (@t120 @t77 (@list @t117 @t122))) % 0.39/0.60 (step @p182 :rule cnf_equiv_pos1 :args (@t124)) % 0.39/0.60 (step @p183 :rule reordering :premises (@p182) :args ((or (not @t120) @t123 (not @t124)))) % 0.39/0.60 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p155) :args (@t123 @t77 (@list @t120 @t124))) % 0.39/0.60 (step @p185 :rule skolemize :premises (@p184)) % 0.39/0.60 (step @p186 :rule bool-double-not-elim :args (@t125)) % 0.39/0.60 (step @p187 :rule refl :args (@t127)) % 0.39/0.60 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or @t127 (not @t126)))) % 0.39/0.60 (step @p189 :rule cnf_or_neg :args (@t127 0)) % 0.39/0.60 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 0.39/0.60 (step @p191 :rule reordering :premises (@p190) :args ((or @t125 @t127))) % 0.39/0.60 (step @p192 :rule chain_m_resolution :premises (@p191 @p185) :args (@t125 @t86 (@list @t127))) % 0.39/0.60 (step @p193 :rule cnf_or_pos :args (@t129)) % 0.39/0.60 (step @p194 :rule reordering :premises (@p193) :args ((or @t126 @t128 (not @t129)))) % 0.39/0.60 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p145) :args (@t128 @t77 (@list @t125 @t129))) % 0.39/0.60 (step @p196 :rule cnf_or_pos :args (@t132)) % 0.39/0.60 (step @p197 :rule reordering :premises (@p196) :args ((or @t95 @t131 @t130 (not @t132)))) % 0.39/0.60 (step @p198 :rule chain_m_resolution :premises (@p197 @p175 @p195 @p141) :args (@t130 @t133 (@list @t94 @t128 @t132))) % 0.39/0.60 (step @p199 :rule symm :premises (@p198)) % 0.39/0.60 (step @p200 :rule aci_norm :args ((= (or (or @t135 @t134) @t51) (or @t135 @t134 @t51)))) % 0.39/0.60 (step @p201 :rule bool-and-de-morgan :args (@t11 @t52 true)) % 0.39/0.60 (step @p202 :rule nary_cong :premises (@p201 @p133) :args ((or (not @t53) @t51))) % 0.39/0.60 (step @p203 :rule trans :premises (@p202 @p200)) % 0.39/0.60 (step @p204 :rule bool-impl-elim :args (@t53 @t51)) % 0.39/0.60 (step @p205 :rule trans :premises (@p204 @p203)) % 0.39/0.60 (step @p206 :rule cong :premises (@p205) :args (@t55)) % 0.39/0.60 (step @p207 :rule eq_resolve :premises (@p31 @p206)) % 0.39/0.60 (step @p208 :rule instantiate :premises (@p207) :args ((@list tptp.i2003_11_14_17_21_19256 @t66 @t113))) % 0.39/0.60 (step @p209 :rule bool-impl-elim :args (@t44 @t11)) % 0.39/0.60 (step @p210 :rule cong :premises (@p209) :args (@t62)) % 0.39/0.60 (step @p211 :rule eq_resolve :premises (@p38 @p210)) % 0.39/0.60 (step @p212 :rule instantiate :premises (@p211) :args (@t114)) % 0.39/0.60 (step @p213 :rule cnf_or_pos :args (@t137)) % 0.39/0.60 (step @p214 :rule reordering :premises (@p213) :args ((or @t126 @t136 (not @t137)))) % 0.39/0.60 (step @p215 :rule chain_m_resolution :premises (@p214 @p192 @p212) :args (@t136 @t77 (@list @t125 @t137))) % 0.39/0.60 (step @p216 :rule bool-double-not-elim :args (@t83)) % 0.39/0.60 (step @p217 :rule nary_cong :premises (@p73 @p216) :args ((or @t85 (not @t84)))) % 0.39/0.60 (step @p218 :rule cnf_or_neg :args (@t85 0)) % 0.39/0.60 (step @p219 :rule eq_resolve :premises (@p218 @p217)) % 0.39/0.60 (step @p220 :rule reordering :premises (@p219) :args ((or @t83 @t85))) % 0.39/0.60 (step @p221 :rule chain_m_resolution :premises (@p220 @p71) :args (@t83 @t86 @t87)) % 0.39/0.60 (step @p222 :rule cnf_or_pos :args (@t140)) % 0.39/0.60 (step @p223 :rule reordering :premises (@p222) :args ((or @t84 @t139 @t138 (not @t140)))) % 0.39/0.60 (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p215 @p208) :args (@t138 @t133 (@list @t83 @t136 @t140))) % 0.39/0.60 (step @p225 :rule trans :premises (@p224 @p199)) % 0.39/0.60 (step @p226 :rule cong :premises (@p225 @p131) :args (@t141)) % 0.39/0.60 (step @p227 :rule trans :premises (@p226 @p130)) % 0.39/0.60 (step @p228 :rule true_elim :premises (@p227)) % 0.39/0.60 (assume-push @p239 @t88) % 0.39/0.60 (step @p230 :rule instantiate :premises (@p81) :args ((@list @t107))) % 0.39/0.60 (step-pop @p240 :rule scope :premises (@p230)) % 0.39/0.60 (step @p231 :rule process_scope :premises (@p240) :args ((not @t141))) % 0.39/0.60 (step @p233 :rule implies_elim :premises (@p231)) % 0.39/0.60 (step @p234 false :rule chain_m_resolution :premises (@p233 @p228 @p81) :args (false @t77 (@list @t141 @t88))) % 0.39/0.60 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------