%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS108+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 : n007.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 0.42s 0.60s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : KRS108+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 % 0.17/0.35 % Computer : n007.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:27:11 EDT 2026 % 0.17/0.35 % CPUTime : % 0.35/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.60 % SZS status Unsatisfiable % 0.42/0.60 % SZS output start Proof % 0.42/0.61 ( % 0.42/0.61 (declare-sort $$unsorted 0) % 0.42/0.61 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.i2003_11_14_17_21_04740 $$unsorted) % 0.42/0.61 (declare-const tptp.cp2xcomp (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.cp1 (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ca_Cx3xcomp (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ca_Cx3 (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ca_Cx2xcomp (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ca_Cx2 (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ca_Cx1xcomp (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ca_Cx1 (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ra_Px2 (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.cp2 (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.cp3 (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.cp3xcomp (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.cp4 (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.cp4xcomp (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ca_Ax14 (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ra_Px7 (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.cp5xcomp (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ra_Px3 (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ra_Px4 (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.cp5 (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ra_Px5 (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.42/0.61 (declare-const tptp.ra_Px6 (-> $$unsorted $$unsorted Bool)) % 0.42/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.42/0.61 (define @t2 () (@var "A" $$unsorted)) % 0.42/0.61 (define @t3 () (= @t2 @t1)) % 0.42/0.61 (define @t4 () (@list @t2 @t1)) % 0.42/0.61 (define @t5 () (@var "C" $$unsorted)) % 0.42/0.61 (define @t6 () (@list @t2 @t1 @t5)) % 0.42/0.61 (define @t7 () (@var "X" $$unsorted)) % 0.42/0.61 (define @t8 () (@list @t7)) % 0.42/0.61 (define @t9 () (tptp.cp2 @t7)) % 0.42/0.61 (define @t10 () (@var "Y" $$unsorted)) % 0.42/0.61 (define @t11 () (tptp.ca_Ax14 @t10)) % 0.42/0.61 (define @t12 () (tptp.rinvR @t7 @t10)) % 0.42/0.61 (define @t13 () (and @t12 @t11)) % 0.42/0.61 (define @t14 () (@list @t10)) % 0.42/0.61 (define @t15 () (exists @t14 @t13)) % 0.42/0.61 (define @t16 () (and @t15 @t9)) % 0.42/0.61 (define @t17 () (tptp.cUnsatisfiable @t7)) % 0.42/0.61 (define @t18 () (= @t17 @t16)) % 0.42/0.61 (define @t19 () (forall @t8 @t18)) % 0.42/0.61 (define @t20 () (tptp.ca_Cx1 @t7)) % 0.42/0.61 (define @t21 () (tptp.cp1 @t7)) % 0.42/0.61 (define @t22 () (forall @t8 (=> @t21 @t20))) % 0.42/0.61 (define @t23 () (@var "Y0" $$unsorted)) % 0.42/0.61 (define @t24 () (tptp.ra_Px5 @t7 @t23)) % 0.42/0.61 (define @t25 () (@list @t23)) % 0.42/0.61 (define @t26 () (exists @t25 @t24)) % 0.42/0.61 (define @t27 () (= @t9 @t26)) % 0.42/0.61 (define @t28 () (forall @t8 @t27)) % 0.42/0.61 (define @t29 () (tptp.ca_Cx2 @t7)) % 0.42/0.61 (define @t30 () (tptp.ra_Px5 @t7 @t10)) % 0.42/0.61 (define @t31 () (exists @t14 @t30)) % 0.42/0.61 (define @t32 () (not @t31)) % 0.42/0.61 (define @t33 () (tptp.cp2xcomp @t7)) % 0.42/0.61 (define @t34 () (= @t33 @t32)) % 0.42/0.61 (define @t35 () (forall @t8 @t34)) % 0.42/0.61 (define @t36 () (tptp.cp3 @t7)) % 0.42/0.61 (define @t37 () (tptp.ca_Cx3 @t7)) % 0.42/0.61 (define @t38 () (tptp.cp3xcomp @t7)) % 0.42/0.61 (define @t39 () (tptp.cp4 @t7)) % 0.42/0.61 (define @t40 () (tptp.cp5xcomp @t7)) % 0.42/0.61 (define @t41 () (tptp.cp4xcomp @t7)) % 0.42/0.61 (define @t42 () (@var "Y1" $$unsorted)) % 0.42/0.61 (define @t43 () (= @t23 @t42)) % 0.42/0.61 (define @t44 () (tptp.rr @t7 @t42)) % 0.42/0.61 (define @t45 () (tptp.rr @t7 @t23)) % 0.42/0.61 (define @t46 () (and @t45 @t44)) % 0.42/0.61 (define @t47 () (@list @t23 @t42)) % 0.42/0.61 (define @t48 () (forall @t47 (=> @t46 @t43))) % 0.42/0.61 (define @t49 () (tptp.cp1 @t10)) % 0.42/0.61 (define @t50 () (tptp.rr @t7 @t10)) % 0.42/0.61 (define @t51 () (and @t50 @t49)) % 0.42/0.61 (define @t52 () (exists @t14 @t51)) % 0.42/0.61 (define @t53 () (and @t52 @t48)) % 0.42/0.61 (define @t54 () (tptp.ca_Ax14 @t7)) % 0.42/0.61 (define @t55 () (= @t54 @t53)) % 0.42/0.61 (define @t56 () (forall @t8 @t55)) % 0.42/0.61 (define @t57 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_04740)) % 0.42/0.61 (define @t58 () (forall @t14 (not @t30))) % 0.42/0.61 (define @t59 () (forall @t14 (or (not (tptp.rinvR tptp.i2003_11_14_17_21_04740 @t10)) (not @t11)))) % 0.42/0.61 (define @t60 () (@quantifiers_skolemize @t59 0)) % 0.42/0.61 (define @t61 () (forall @t14 (or (not (tptp.rr @t60 @t10)) (not @t49)))) % 0.42/0.61 (define @t62 () (@quantifiers_skolemize @t61 0)) % 0.42/0.61 (define @t63 () (@list @t62)) % 0.42/0.61 (define @t64 () (not @t44)) % 0.42/0.61 (define @t65 () (not @t45)) % 0.42/0.61 (define @t66 () (forall @t14 (not @t51))) % 0.42/0.61 (define @t67 () (not @t66)) % 0.42/0.61 (define @t68 () (forall @t14 (not @t13))) % 0.42/0.61 (define @t69 () (not @t68)) % 0.42/0.61 (define @t70 () (@list tptp.i2003_11_14_17_21_04740)) % 0.42/0.61 (define @t71 () (tptp.cp2 tptp.i2003_11_14_17_21_04740)) % 0.42/0.61 (define @t72 () (not @t59)) % 0.42/0.61 (define @t73 () (and @t72 @t71)) % 0.42/0.61 (define @t74 () (= @t57 @t73)) % 0.42/0.61 (define @t75 () (@list false false)) % 0.42/0.61 (define @t76 () (not @t73)) % 0.42/0.61 (define @t77 () (@list false)) % 0.42/0.61 (define @t78 () (@list @t73)) % 0.42/0.61 (define @t79 () (tptp.ca_Ax14 @t60)) % 0.42/0.61 (define @t80 () (not @t79)) % 0.42/0.61 (define @t81 () (tptp.rinvR tptp.i2003_11_14_17_21_04740 @t60)) % 0.42/0.61 (define @t82 () (not @t81)) % 0.42/0.61 (define @t83 () (or @t82 @t80)) % 0.42/0.61 (define @t84 () (@list true)) % 0.42/0.61 (define @t85 () (@list @t83)) % 0.42/0.61 (define @t86 () (forall @t47 (or (not (tptp.rr @t60 @t23)) (not (tptp.rr @t60 @t42)) @t43))) % 0.42/0.61 (define @t87 () (not @t61)) % 0.42/0.61 (define @t88 () (and @t87 @t86)) % 0.42/0.61 (define @t89 () (= @t79 @t88)) % 0.42/0.61 (define @t90 () (not @t88)) % 0.42/0.61 (define @t91 () (@list @t88)) % 0.42/0.61 (define @t92 () (tptp.cp1 @t62)) % 0.42/0.61 (define @t93 () (not @t92)) % 0.42/0.61 (define @t94 () (tptp.rr @t60 @t62)) % 0.42/0.61 (define @t95 () (not @t94)) % 0.42/0.61 (define @t96 () (or @t95 @t93)) % 0.42/0.61 (define @t97 () (@list @t96)) % 0.42/0.61 (define @t98 () (tptp.ca_Cx1 @t62)) % 0.42/0.61 (define @t99 () (or @t93 @t98)) % 0.42/0.61 (define @t100 () (tptp.cp2xcomp @t62)) % 0.42/0.61 (define @t101 () (and @t100 (tptp.cp5xcomp @t62) (tptp.cp3xcomp @t62) (tptp.cp4xcomp @t62))) % 0.42/0.61 (define @t102 () (= @t98 @t101)) % 0.42/0.61 (define @t103 () (forall @t14 (not (tptp.ra_Px5 @t62 @t10)))) % 0.42/0.61 (define @t104 () (= @t100 @t103)) % 0.42/0.61 (define @t105 () (forall @t25 (not (tptp.ra_Px5 tptp.i2003_11_14_17_21_04740 @t23)))) % 0.42/0.61 (define @t106 () (not @t105)) % 0.42/0.61 (define @t107 () (= @t71 @t106)) % 0.42/0.61 (define @t108 () (@quantifiers_skolemize @t105 0)) % 0.42/0.61 (define @t109 () (tptp.ra_Px5 tptp.i2003_11_14_17_21_04740 @t108)) % 0.42/0.61 (define @t110 () (not (not @t109))) % 0.42/0.61 (define @t111 () (tptp.rr @t60 tptp.i2003_11_14_17_21_04740)) % 0.42/0.61 (define @t112 () (= @t81 @t111)) % 0.42/0.61 (define @t113 () (= tptp.i2003_11_14_17_21_04740 @t62)) % 0.42/0.61 (define @t114 () (not @t111)) % 0.42/0.61 (define @t115 () (or @t114 @t95 @t113)) % 0.42/0.61 (define @t116 () (tptp.ra_Px5 @t62 @t108)) % 0.42/0.61 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.42/0.61 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Ax14 @t2)) (tptp.ca_Ax14 @t1)))) % 0.42/0.61 (assume @p3 (forall @t4 (=> (and @t3 (tptp.ca_Cx1 @t2)) (tptp.ca_Cx1 @t1)))) % 0.42/0.61 (assume @p4 (forall @t4 (=> (and @t3 (tptp.ca_Cx1xcomp @t2)) (tptp.ca_Cx1xcomp @t1)))) % 0.42/0.61 (assume @p5 (forall @t4 (=> (and @t3 (tptp.ca_Cx2 @t2)) (tptp.ca_Cx2 @t1)))) % 0.42/0.61 (assume @p6 (forall @t4 (=> (and @t3 (tptp.ca_Cx2xcomp @t2)) (tptp.ca_Cx2xcomp @t1)))) % 0.42/0.61 (assume @p7 (forall @t4 (=> (and @t3 (tptp.ca_Cx3 @t2)) (tptp.ca_Cx3 @t1)))) % 0.42/0.61 (assume @p8 (forall @t4 (=> (and @t3 (tptp.ca_Cx3xcomp @t2)) (tptp.ca_Cx3xcomp @t1)))) % 0.42/0.61 (assume @p9 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.42/0.61 (assume @p10 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.42/0.61 (assume @p11 (forall @t4 (=> (and @t3 (tptp.cp1 @t2)) (tptp.cp1 @t1)))) % 0.42/0.61 (assume @p12 (forall @t4 (=> (and @t3 (tptp.cp2 @t2)) (tptp.cp2 @t1)))) % 0.42/0.61 (assume @p13 (forall @t4 (=> (and @t3 (tptp.cp2xcomp @t2)) (tptp.cp2xcomp @t1)))) % 0.42/0.61 (assume @p14 (forall @t4 (=> (and @t3 (tptp.cp3 @t2)) (tptp.cp3 @t1)))) % 0.42/0.61 (assume @p15 (forall @t4 (=> (and @t3 (tptp.cp3xcomp @t2)) (tptp.cp3xcomp @t1)))) % 0.42/0.61 (assume @p16 (forall @t4 (=> (and @t3 (tptp.cp4 @t2)) (tptp.cp4 @t1)))) % 0.42/0.61 (assume @p17 (forall @t4 (=> (and @t3 (tptp.cp4xcomp @t2)) (tptp.cp4xcomp @t1)))) % 0.42/0.61 (assume @p18 (forall @t4 (=> (and @t3 (tptp.cp5 @t2)) (tptp.cp5 @t1)))) % 0.42/0.61 (assume @p19 (forall @t4 (=> (and @t3 (tptp.cp5xcomp @t2)) (tptp.cp5xcomp @t1)))) % 0.42/0.61 (assume @p20 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.42/0.61 (assume @p21 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.42/0.61 (assume @p22 (forall @t6 (=> (and @t3 (tptp.ra_Px2 @t2 @t5)) (tptp.ra_Px2 @t1 @t5)))) % 0.42/0.61 (assume @p23 (forall @t6 (=> (and @t3 (tptp.ra_Px2 @t5 @t2)) (tptp.ra_Px2 @t5 @t1)))) % 0.42/0.61 (assume @p24 (forall @t6 (=> (and @t3 (tptp.ra_Px3 @t2 @t5)) (tptp.ra_Px3 @t1 @t5)))) % 0.42/0.61 (assume @p25 (forall @t6 (=> (and @t3 (tptp.ra_Px3 @t5 @t2)) (tptp.ra_Px3 @t5 @t1)))) % 0.42/0.61 (assume @p26 (forall @t6 (=> (and @t3 (tptp.ra_Px4 @t2 @t5)) (tptp.ra_Px4 @t1 @t5)))) % 0.42/0.61 (assume @p27 (forall @t6 (=> (and @t3 (tptp.ra_Px4 @t5 @t2)) (tptp.ra_Px4 @t5 @t1)))) % 0.42/0.61 (assume @p28 (forall @t6 (=> (and @t3 (tptp.ra_Px5 @t2 @t5)) (tptp.ra_Px5 @t1 @t5)))) % 0.42/0.61 (assume @p29 (forall @t6 (=> (and @t3 (tptp.ra_Px5 @t5 @t2)) (tptp.ra_Px5 @t5 @t1)))) % 0.42/0.61 (assume @p30 (forall @t6 (=> (and @t3 (tptp.ra_Px6 @t2 @t5)) (tptp.ra_Px6 @t1 @t5)))) % 0.42/0.61 (assume @p31 (forall @t6 (=> (and @t3 (tptp.ra_Px6 @t5 @t2)) (tptp.ra_Px6 @t5 @t1)))) % 0.42/0.61 (assume @p32 (forall @t6 (=> (and @t3 (tptp.ra_Px7 @t2 @t5)) (tptp.ra_Px7 @t1 @t5)))) % 0.42/0.61 (assume @p33 (forall @t6 (=> (and @t3 (tptp.ra_Px7 @t5 @t2)) (tptp.ra_Px7 @t5 @t1)))) % 0.42/0.61 (assume @p34 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.42/0.61 (assume @p35 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.42/0.61 (assume @p36 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.42/0.61 (assume @p37 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.42/0.61 (assume @p38 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.42/0.61 (assume @p39 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.42/0.61 (assume @p40 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.42/0.61 (assume @p41 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.42/0.61 (assume @p42 @t19) % 0.42/0.61 (assume @p43 @t22) % 0.42/0.61 (assume @p44 @t28) % 0.42/0.61 (assume @p45 (forall @t8 (=> @t9 @t29))) % 0.42/0.61 (assume @p46 @t35) % 0.42/0.61 (assume @p47 (forall @t8 (= @t36 (exists @t25 (tptp.ra_Px6 @t7 @t23))))) % 0.42/0.61 (assume @p48 (forall @t8 (=> @t36 @t37))) % 0.42/0.61 (assume @p49 (forall @t8 (= @t38 (not (exists @t14 (tptp.ra_Px6 @t7 @t10)))))) % 0.42/0.61 (assume @p50 (forall @t8 (= @t39 (not (exists @t14 (tptp.ra_Px7 @t7 @t10)))))) % 0.42/0.61 (assume @p51 (forall @t8 (=> @t39 @t40))) % 0.42/0.61 (assume @p52 (forall @t8 (= @t41 (exists @t25 (tptp.ra_Px7 @t7 @t23))))) % 0.42/0.61 (assume @p53 (forall @t8 (= (tptp.cp5 @t7) (not (exists @t14 (tptp.ra_Px4 @t7 @t10)))))) % 0.42/0.61 (assume @p54 (forall @t8 (= @t40 (exists @t25 (tptp.ra_Px4 @t7 @t23))))) % 0.42/0.61 (assume @p55 @t56) % 0.42/0.61 (assume @p56 (forall @t8 (= @t20 (and @t33 @t40 @t38 @t41)))) % 0.42/0.61 (assume @p57 (forall @t8 (= @t20 (exists @t25 (tptp.ra_Px1 @t7 @t23))))) % 0.42/0.61 (assume @p58 (forall @t8 (= (tptp.ca_Cx1xcomp @t7) (not (exists @t14 (tptp.ra_Px1 @t7 @t10)))))) % 0.42/0.61 (assume @p59 (forall @t8 (= @t29 (and @t40 @t38 @t41)))) % 0.42/0.61 (assume @p60 (forall @t8 (= @t29 (not (exists @t14 (tptp.ra_Px2 @t7 @t10)))))) % 0.42/0.61 (assume @p61 (forall @t8 (= (tptp.ca_Cx2xcomp @t7) (exists @t25 (tptp.ra_Px2 @t7 @t23))))) % 0.42/0.61 (assume @p62 (forall @t8 (= @t37 (not (exists @t14 (tptp.ra_Px3 @t7 @t10)))))) % 0.42/0.61 (assume @p63 (forall @t8 (= @t37 (and @t40 @t41)))) % 0.42/0.61 (assume @p64 (forall @t8 (= (tptp.ca_Cx3xcomp @t7) (exists @t25 (tptp.ra_Px3 @t7 @t23))))) % 0.42/0.61 (assume @p65 (forall (@list @t7 @t10) (= @t12 (tptp.rr @t10 @t7)))) % 0.42/0.61 (assume @p66 @t57) % 0.42/0.61 (step @p67 :rule bool-double-not-elim :args (@t58)) % 0.42/0.61 (step @p68 :rule exists-elim :args ((= @t31 (not @t58)))) % 0.42/0.61 (step @p69 :rule cong :premises (@p68) :args (@t32)) % 0.42/0.61 (step @p70 :rule trans :premises (@p69 @p67)) % 0.42/0.61 (step @p71 :rule refl :args (@t33)) % 0.42/0.61 (step @p72 :rule cong :premises (@p71 @p70) :args (@t34)) % 0.42/0.61 (step @p73 :rule cong :premises (@p72) :args (@t35)) % 0.42/0.61 (step @p74 :rule eq_resolve :premises (@p46 @p73)) % 0.42/0.61 (step @p75 :rule instantiate :premises (@p74) :args (@t63)) % 0.42/0.61 (step @p76 :rule instantiate :premises (@p56) :args (@t63)) % 0.42/0.61 (step @p77 :rule bool-impl-elim :args (@t21 @t20)) % 0.42/0.61 (step @p78 :rule cong :premises (@p77) :args (@t22)) % 0.42/0.61 (step @p79 :rule eq_resolve :premises (@p43 @p78)) % 0.42/0.61 (step @p80 :rule instantiate :premises (@p79) :args (@t63)) % 0.42/0.61 (step @p81 :rule aci_norm :args ((= (or (or @t65 @t64) @t43) (or @t65 @t64 @t43)))) % 0.42/0.61 (step @p82 :rule refl :args (@t43)) % 0.42/0.61 (step @p83 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 0.42/0.61 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t46) @t43))) % 0.42/0.61 (step @p85 :rule trans :premises (@p84 @p81)) % 0.42/0.61 (step @p86 :rule bool-impl-elim :args (@t46 @t43)) % 0.42/0.61 (step @p87 :rule trans :premises (@p86 @p85)) % 0.42/0.61 (step @p88 :rule cong :premises (@p87) :args (@t48)) % 0.42/0.61 (step @p89 :rule bool-and-de-morgan :args (@t50 @t49 true)) % 0.42/0.61 (step @p90 :rule cong :premises (@p89) :args (@t66)) % 0.42/0.61 (step @p91 :rule cong :premises (@p90) :args (@t67)) % 0.42/0.61 (step @p92 :rule exists-elim :args ((= @t52 @t67))) % 0.42/0.61 (step @p93 :rule trans :premises (@p92 @p91)) % 0.42/0.61 (step @p94 :rule nary_cong :premises (@p93 @p88) :args (@t53)) % 0.42/0.61 (step @p95 :rule refl :args (@t54)) % 0.42/0.61 (step @p96 :rule cong :premises (@p95 @p94) :args (@t55)) % 0.42/0.61 (step @p97 :rule cong :premises (@p96) :args (@t56)) % 0.42/0.61 (step @p98 :rule eq_resolve :premises (@p55 @p97)) % 0.42/0.61 (step @p99 :rule instantiate :premises (@p98) :args ((@list @t60))) % 0.42/0.61 (step @p100 :rule refl :args (@t9)) % 0.42/0.61 (step @p101 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.42/0.61 (step @p102 :rule cong :premises (@p101) :args (@t68)) % 0.42/0.61 (step @p103 :rule cong :premises (@p102) :args (@t69)) % 0.42/0.61 (step @p104 :rule exists-elim :args ((= @t15 @t69))) % 0.42/0.61 (step @p105 :rule trans :premises (@p104 @p103)) % 0.42/0.61 (step @p106 :rule nary_cong :premises (@p105 @p100) :args (@t16)) % 0.42/0.61 (step @p107 :rule refl :args (@t17)) % 0.42/0.61 (step @p108 :rule cong :premises (@p107 @p106) :args (@t18)) % 0.42/0.61 (step @p109 :rule cong :premises (@p108) :args (@t19)) % 0.42/0.61 (step @p110 :rule eq_resolve :premises (@p42 @p109)) % 0.42/0.61 (step @p111 :rule instantiate :premises (@p110) :args (@t70)) % 0.42/0.61 (step @p112 :rule cnf_equiv_pos1 :args (@t74)) % 0.42/0.61 (step @p113 :rule reordering :premises (@p112) :args ((or (not @t57) @t73 (not @t74)))) % 0.42/0.61 (step @p114 :rule chain_m_resolution :premises (@p113 @p66 @p111) :args (@t73 @t75 (@list @t57 @t74))) % 0.42/0.61 (step @p115 :rule cnf_and_pos :args (@t73 0)) % 0.42/0.61 (step @p116 :rule reordering :premises (@p115) :args ((or @t72 @t76))) % 0.42/0.61 (step @p117 :rule chain_m_resolution :premises (@p116 @p114) :args (@t72 @t77 @t78)) % 0.42/0.61 (step @p118 :rule skolemize :premises (@p117)) % 0.42/0.61 (step @p119 :rule bool-double-not-elim :args (@t79)) % 0.42/0.61 (step @p120 :rule refl :args (@t83)) % 0.42/0.61 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t83 (not @t80)))) % 0.42/0.61 (step @p122 :rule cnf_or_neg :args (@t83 1)) % 0.42/0.61 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.42/0.61 (step @p124 :rule reordering :premises (@p123) :args ((or @t79 @t83))) % 0.42/0.61 (step @p125 :rule chain_m_resolution :premises (@p124 @p118) :args (@t79 @t84 @t85)) % 0.42/0.61 (step @p126 :rule cnf_equiv_pos1 :args (@t89)) % 0.42/0.61 (step @p127 :rule reordering :premises (@p126) :args ((or @t80 @t88 (not @t89)))) % 0.42/0.61 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p99) :args (@t88 @t75 (@list @t79 @t89))) % 0.42/0.61 (step @p129 :rule cnf_and_pos :args (@t88 0)) % 0.42/0.61 (step @p130 :rule reordering :premises (@p129) :args ((or @t87 @t90))) % 0.42/0.61 (step @p131 :rule chain_m_resolution :premises (@p130 @p128) :args (@t87 @t77 @t91)) % 0.42/0.61 (step @p132 :rule skolemize :premises (@p131)) % 0.42/0.61 (step @p133 :rule bool-double-not-elim :args (@t92)) % 0.42/0.61 (step @p134 :rule refl :args (@t96)) % 0.42/0.61 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t96 (not @t93)))) % 0.42/0.61 (step @p136 :rule cnf_or_neg :args (@t96 1)) % 0.42/0.61 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.42/0.61 (step @p138 :rule reordering :premises (@p137) :args ((or @t92 @t96))) % 0.42/0.61 (step @p139 :rule chain_m_resolution :premises (@p138 @p132) :args (@t92 @t84 @t97)) % 0.42/0.61 (step @p140 :rule cnf_or_pos :args (@t99)) % 0.42/0.61 (step @p141 :rule reordering :premises (@p140) :args ((or @t93 @t98 (not @t99)))) % 0.42/0.61 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p80) :args (@t98 @t75 (@list @t92 @t99))) % 0.42/0.61 (step @p143 :rule cnf_equiv_pos1 :args (@t102)) % 0.42/0.61 (step @p144 :rule reordering :premises (@p143) :args ((or (not @t98) @t101 (not @t102)))) % 0.42/0.61 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p76) :args (@t101 @t75 (@list @t98 @t102))) % 0.42/0.61 (step @p146 :rule cnf_and_pos :args (@t101 0)) % 0.42/0.61 (step @p147 :rule reordering :premises (@p146) :args ((or @t100 (not @t101)))) % 0.42/0.61 (step @p148 :rule chain_m_resolution :premises (@p147 @p145) :args (@t100 @t77 (@list @t101))) % 0.42/0.61 (step @p149 :rule cnf_equiv_pos1 :args (@t104)) % 0.42/0.61 (step @p150 :rule reordering :premises (@p149) :args ((or (not @t100) @t103 (not @t104)))) % 0.42/0.61 (step @p151 :rule chain_m_resolution :premises (@p150 @p148 @p75) :args (@t103 @t75 (@list @t100 @t104))) % 0.42/0.61 (step @p152 :rule exists-elim :args ((= @t26 (not (forall @t25 (not @t24)))))) % 0.42/0.61 (step @p153 :rule cong :premises (@p100 @p152) :args (@t27)) % 0.42/0.61 (step @p154 :rule cong :premises (@p153) :args (@t28)) % 0.42/0.61 (step @p155 :rule eq_resolve :premises (@p44 @p154)) % 0.42/0.61 (step @p156 :rule instantiate :premises (@p155) :args (@t70)) % 0.42/0.61 (step @p157 :rule cnf_and_pos :args (@t73 1)) % 0.42/0.61 (step @p158 :rule reordering :premises (@p157) :args ((or @t71 @t76))) % 0.42/0.61 (step @p159 :rule chain_m_resolution :premises (@p158 @p114) :args (@t71 @t77 @t78)) % 0.42/0.61 (step @p160 :rule cnf_equiv_pos1 :args (@t107)) % 0.42/0.61 (step @p161 :rule reordering :premises (@p160) :args ((or (not @t71) @t106 (not @t107)))) % 0.42/0.61 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p156) :args (@t106 @t75 (@list @t71 @t107))) % 0.42/0.61 (step @p163 :rule refl :args (@t109)) % 0.42/0.61 (step @p164 :rule bool-double-not-elim :args (@t105)) % 0.42/0.61 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or (not @t106) @t109))) % 0.42/0.61 (step @p166 :rule bool-double-not-elim :args (@t109)) % 0.42/0.61 (step @p167 :rule refl :args (@t106)) % 0.42/0.61 (step @p168 :rule cong :premises (@p167 @p166) :args ((=> @t106 @t110))) % 0.42/0.61 (assume-push @p212 @t106) % 0.42/0.61 (step @p170 :rule skolemize :premises (@p162)) % 0.42/0.61 (step-pop @p213 :rule scope :premises (@p170)) % 0.42/0.61 (step @p171 :rule process_scope :premises (@p213) :args (@t110)) % 0.42/0.61 (step @p173 :rule eq_resolve :premises (@p171 @p168)) % 0.42/0.61 (step @p174 :rule implies_elim :premises (@p173)) % 0.42/0.61 (step @p175 :rule eq_resolve :premises (@p174 @p165)) % 0.42/0.61 (step @p176 :rule chain_m_resolution :premises (@p175 @p162) :args (@t109 @t84 (@list @t105))) % 0.42/0.61 (step @p177 :rule true_intro :premises (@p176)) % 0.42/0.61 (step @p178 :rule refl :args (@t108)) % 0.42/0.61 (step @p179 :rule cnf_and_pos :args (@t88 1)) % 0.42/0.61 (step @p180 :rule reordering :premises (@p179) :args ((or @t86 @t90))) % 0.42/0.61 (step @p181 :rule chain_m_resolution :premises (@p180 @p128) :args (@t86 @t77 @t91)) % 0.42/0.61 (step @p182 :rule instantiate :premises (@p181) :args ((@list tptp.i2003_11_14_17_21_04740 @t62))) % 0.42/0.61 (step @p183 :rule bool-double-not-elim :args (@t94)) % 0.42/0.61 (step @p184 :rule nary_cong :premises (@p134 @p183) :args ((or @t96 (not @t95)))) % 0.42/0.61 (step @p185 :rule cnf_or_neg :args (@t96 0)) % 0.42/0.61 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.42/0.61 (step @p187 :rule reordering :premises (@p186) :args ((or @t94 @t96))) % 0.42/0.61 (step @p188 :rule chain_m_resolution :premises (@p187 @p132) :args (@t94 @t84 @t97)) % 0.42/0.61 (step @p189 :rule instantiate :premises (@p65) :args ((@list tptp.i2003_11_14_17_21_04740 @t60))) % 0.42/0.61 (step @p190 :rule bool-double-not-elim :args (@t81)) % 0.42/0.61 (step @p191 :rule nary_cong :premises (@p120 @p190) :args ((or @t83 (not @t82)))) % 0.42/0.61 (step @p192 :rule cnf_or_neg :args (@t83 0)) % 0.42/0.61 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 0.42/0.61 (step @p194 :rule reordering :premises (@p193) :args ((or @t81 @t83))) % 0.42/0.61 (step @p195 :rule chain_m_resolution :premises (@p194 @p118) :args (@t81 @t84 @t85)) % 0.42/0.61 (step @p196 :rule cnf_equiv_pos1 :args (@t112)) % 0.42/0.61 (step @p197 :rule reordering :premises (@p196) :args ((or @t82 @t111 (not @t112)))) % 0.42/0.61 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p189) :args (@t111 @t75 (@list @t81 @t112))) % 0.42/0.61 (step @p199 :rule cnf_or_pos :args (@t115)) % 0.42/0.61 (step @p200 :rule reordering :premises (@p199) :args ((or @t114 @t95 @t113 (not @t115)))) % 0.42/0.61 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p188 @p182) :args (@t113 (@list false false false) (@list @t111 @t94 @t115))) % 0.42/0.61 (step @p202 :rule symm :premises (@p201)) % 0.42/0.61 (step @p203 :rule cong :premises (@p202 @p178) :args (@t116)) % 0.42/0.61 (step @p204 :rule trans :premises (@p203 @p177)) % 0.42/0.61 (step @p205 :rule true_elim :premises (@p204)) % 0.42/0.61 (assume-push @p214 @t103) % 0.42/0.61 (step @p207 :rule instantiate :premises (@p151) :args ((@list @t108))) % 0.42/0.61 (step-pop @p215 :rule scope :premises (@p207)) % 0.42/0.61 (step @p208 :rule process_scope :premises (@p215) :args ((not @t116))) % 0.42/0.61 (step @p210 :rule implies_elim :premises (@p208)) % 0.42/0.61 (step @p211 false :rule chain_m_resolution :premises (@p210 @p205 @p151) :args (false @t75 (@list @t116 @t103))) % 0.42/0.61 ) % 0.42/0.61 % SZS output end Proof % 0.42/0.62 % cvc5 exiting %------------------------------------------------------------------------------