%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS107+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 : n020.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 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : KRS107+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 : n020.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 05:28:10 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.59 % SZS status Unsatisfiable % 0.41/0.59 % SZS output start Proof % 0.41/0.61 ( % 0.41/0.61 (declare-sort $$unsorted 0) % 0.41/0.61 (declare-const tptp.i2003_11_14_17_21_01226 $$unsorted) % 0.41/0.61 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.rrxa (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.rrx4a (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.rrx4 (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.rrx2a (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.ca_Ax2 (-> $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.rrx1a (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.rrx3a (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.ca_Cx1 (-> $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.ca_Cx1xcomp (-> $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.cc1 (-> $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.rrx3 (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.cc2 (-> $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.rrx2 (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.rrx (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.41/0.61 (declare-const tptp.rrx1 (-> $$unsorted $$unsorted Bool)) % 0.41/0.61 (define @t1 () (@var "B" $$unsorted)) % 0.41/0.61 (define @t2 () (@var "A" $$unsorted)) % 0.41/0.61 (define @t3 () (= @t2 @t1)) % 0.41/0.61 (define @t4 () (@list @t2 @t1)) % 0.41/0.61 (define @t5 () (@var "C" $$unsorted)) % 0.41/0.61 (define @t6 () (@list @t2 @t1 @t5)) % 0.41/0.61 (define @t7 () (@var "X" $$unsorted)) % 0.41/0.61 (define @t8 () (@list @t7)) % 0.41/0.61 (define @t9 () (tptp.ca_Cx1 @t7)) % 0.41/0.61 (define @t10 () (@var "Y" $$unsorted)) % 0.41/0.61 (define @t11 () (tptp.cc2 @t10)) % 0.41/0.61 (define @t12 () (tptp.rrx4 @t7 @t10)) % 0.41/0.61 (define @t13 () (and @t12 @t11)) % 0.41/0.61 (define @t14 () (@list @t10)) % 0.41/0.61 (define @t15 () (exists @t14 @t13)) % 0.41/0.61 (define @t16 () (tptp.cc1 @t10)) % 0.41/0.61 (define @t17 () (tptp.rrx3 @t7 @t10)) % 0.41/0.61 (define @t18 () (and @t17 @t16)) % 0.41/0.61 (define @t19 () (exists @t14 @t18)) % 0.41/0.61 (define @t20 () (and @t19 @t15 @t9)) % 0.41/0.61 (define @t21 () (tptp.cUnsatisfiable @t7)) % 0.41/0.61 (define @t22 () (= @t21 @t20)) % 0.41/0.61 (define @t23 () (forall @t8 @t22)) % 0.41/0.61 (define @t24 () (@var "Y0" $$unsorted)) % 0.41/0.61 (define @t25 () (tptp.ra_Px1 @t7 @t24)) % 0.41/0.61 (define @t26 () (@list @t24)) % 0.41/0.61 (define @t27 () (exists @t26 @t25)) % 0.41/0.61 (define @t28 () (= @t9 @t27)) % 0.41/0.61 (define @t29 () (forall @t8 @t28)) % 0.41/0.61 (define @t30 () (tptp.ca_Ax2 @t10)) % 0.41/0.61 (define @t31 () (and @t17 @t30)) % 0.41/0.61 (define @t32 () (exists @t14 @t31)) % 0.41/0.61 (define @t33 () (tptp.ca_Cx1xcomp @t7)) % 0.41/0.61 (define @t34 () (= @t33 @t32)) % 0.41/0.61 (define @t35 () (forall @t8 @t34)) % 0.41/0.61 (define @t36 () (tptp.ra_Px1 @t7 @t10)) % 0.41/0.61 (define @t37 () (exists @t14 @t36)) % 0.41/0.61 (define @t38 () (not @t37)) % 0.41/0.61 (define @t39 () (= @t33 @t38)) % 0.41/0.61 (define @t40 () (forall @t8 @t39)) % 0.41/0.61 (define @t41 () (@var "Z" $$unsorted)) % 0.41/0.61 (define @t42 () (= @t10 @t41)) % 0.41/0.61 (define @t43 () (tptp.rrx @t7 @t41)) % 0.41/0.61 (define @t44 () (tptp.rrx @t7 @t10)) % 0.41/0.61 (define @t45 () (and @t44 @t43)) % 0.41/0.61 (define @t46 () (@list @t7 @t10 @t41)) % 0.41/0.61 (define @t47 () (forall @t46 (=> @t45 @t42))) % 0.41/0.61 (define @t48 () (tptp.rrx3a @t7 @t10)) % 0.41/0.61 (define @t49 () (tptp.rrx4a @t7 @t10)) % 0.41/0.61 (define @t50 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_01226)) % 0.41/0.61 (define @t51 () (@list @t7 @t10)) % 0.41/0.61 (define @t52 () (tptp.rrxa @t7 @t10)) % 0.41/0.61 (define @t53 () (forall @t51 (=> @t12 @t44))) % 0.41/0.61 (define @t54 () (forall @t51 (=> @t17 @t44))) % 0.41/0.61 (define @t55 () (forall @t14 (not @t31))) % 0.41/0.61 (define @t56 () (not @t55)) % 0.41/0.61 (define @t57 () (@list tptp.i2003_11_14_17_21_01226)) % 0.41/0.61 (define @t58 () (forall @t14 (not @t36))) % 0.41/0.61 (define @t59 () (forall @t14 (not @t13))) % 0.41/0.61 (define @t60 () (not @t59)) % 0.41/0.61 (define @t61 () (forall @t14 (not @t18))) % 0.41/0.61 (define @t62 () (not @t61)) % 0.41/0.61 (define @t63 () (tptp.ca_Cx1 tptp.i2003_11_14_17_21_01226)) % 0.41/0.61 (define @t64 () (forall @t14 (or (not (tptp.rrx4 tptp.i2003_11_14_17_21_01226 @t10)) (not @t11)))) % 0.41/0.61 (define @t65 () (not @t64)) % 0.41/0.61 (define @t66 () (not (tptp.rrx3 tptp.i2003_11_14_17_21_01226 @t10))) % 0.41/0.61 (define @t67 () (forall @t14 (or @t66 (not @t16)))) % 0.41/0.61 (define @t68 () (not @t67)) % 0.41/0.61 (define @t69 () (and @t68 @t65 @t63)) % 0.41/0.61 (define @t70 () (= @t50 @t69)) % 0.41/0.61 (define @t71 () (@list false false)) % 0.41/0.61 (define @t72 () (not @t69)) % 0.41/0.61 (define @t73 () (@list false)) % 0.41/0.61 (define @t74 () (@list @t69)) % 0.41/0.61 (define @t75 () (forall @t26 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_01226 @t24)))) % 0.41/0.61 (define @t76 () (not @t75)) % 0.41/0.61 (define @t77 () (= @t63 @t76)) % 0.41/0.61 (define @t78 () (forall @t14 (not (tptp.ra_Px1 tptp.i2003_11_14_17_21_01226 @t10)))) % 0.41/0.61 (define @t79 () (@list true)) % 0.41/0.61 (define @t80 () (tptp.ca_Cx1xcomp tptp.i2003_11_14_17_21_01226)) % 0.41/0.61 (define @t81 () (= @t80 @t78)) % 0.41/0.61 (define @t82 () (not @t80)) % 0.41/0.61 (define @t83 () (@list true false)) % 0.41/0.61 (define @t84 () (forall @t14 (or @t66 (not @t30)))) % 0.41/0.61 (define @t85 () (not @t84)) % 0.41/0.61 (define @t86 () (= @t80 @t85)) % 0.41/0.61 (define @t87 () (not @t86)) % 0.41/0.61 (define @t88 () (@quantifiers_skolemize @t67 0)) % 0.41/0.61 (define @t89 () (@list @t88)) % 0.41/0.61 (define @t90 () (@quantifiers_skolemize @t64 0)) % 0.41/0.61 (define @t91 () (tptp.cc2 @t90)) % 0.41/0.61 (define @t92 () (not @t91)) % 0.41/0.61 (define @t93 () (tptp.rrx4 tptp.i2003_11_14_17_21_01226 @t90)) % 0.41/0.61 (define @t94 () (not @t93)) % 0.41/0.61 (define @t95 () (or @t94 @t92)) % 0.41/0.61 (define @t96 () (@list @t95)) % 0.41/0.61 (define @t97 () (not @t43)) % 0.41/0.61 (define @t98 () (not @t44)) % 0.41/0.61 (define @t99 () (or @t98 @t97 @t42)) % 0.41/0.61 (define @t100 () (tptp.rrx tptp.i2003_11_14_17_21_01226 @t88)) % 0.41/0.61 (define @t101 () (not @t100)) % 0.41/0.61 (define @t102 () (tptp.rrx tptp.i2003_11_14_17_21_01226 @t90)) % 0.41/0.61 (define @t103 () (not @t102)) % 0.41/0.61 (define @t104 () (or @t103 @t101 (= @t90 @t88))) % 0.41/0.61 (define @t105 () (forall @t46 @t99)) % 0.41/0.61 (define @t106 () (= @t88 @t90)) % 0.41/0.61 (define @t107 () (or @t103 @t101 @t106)) % 0.41/0.61 (define @t108 () (tptp.rrx3 tptp.i2003_11_14_17_21_01226 @t88)) % 0.41/0.61 (define @t109 () (tptp.cc1 @t88)) % 0.41/0.61 (define @t110 () (not @t109)) % 0.41/0.61 (define @t111 () (not @t108)) % 0.41/0.61 (define @t112 () (or @t111 @t110)) % 0.41/0.61 (define @t113 () (@list @t112)) % 0.41/0.61 (define @t114 () (or @t111 @t100)) % 0.41/0.61 (define @t115 () (or @t94 @t102)) % 0.41/0.61 (define @t116 () (tptp.cc2 @t88)) % 0.41/0.61 (define @t117 () (and @t116 @t109)) % 0.41/0.61 (define @t118 () (tptp.ca_Ax2 @t88)) % 0.41/0.61 (define @t119 () (= @t118 @t117)) % 0.41/0.61 (define @t120 () (not @t118)) % 0.41/0.61 (define @t121 () (or @t111 @t120)) % 0.41/0.61 (define @t122 () (not @t121)) % 0.41/0.61 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.41/0.61 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Ax2 @t2)) (tptp.ca_Ax2 @t1)))) % 0.41/0.61 (assume @p3 (forall @t4 (=> (and @t3 (tptp.ca_Cx1 @t2)) (tptp.ca_Cx1 @t1)))) % 0.41/0.61 (assume @p4 (forall @t4 (=> (and @t3 (tptp.ca_Cx1xcomp @t2)) (tptp.ca_Cx1xcomp @t1)))) % 0.41/0.61 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cc1 @t2)) (tptp.cc1 @t1)))) % 0.41/0.61 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cc2 @t2)) (tptp.cc2 @t1)))) % 0.41/0.61 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.41/0.61 (assume @p8 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.41/0.61 (assume @p9 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.41/0.61 (assume @p10 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.41/0.61 (assume @p11 (forall @t6 (=> (and @t3 (tptp.rrx @t2 @t5)) (tptp.rrx @t1 @t5)))) % 0.41/0.61 (assume @p12 (forall @t6 (=> (and @t3 (tptp.rrx @t5 @t2)) (tptp.rrx @t5 @t1)))) % 0.41/0.61 (assume @p13 (forall @t6 (=> (and @t3 (tptp.rrx1 @t2 @t5)) (tptp.rrx1 @t1 @t5)))) % 0.41/0.61 (assume @p14 (forall @t6 (=> (and @t3 (tptp.rrx1 @t5 @t2)) (tptp.rrx1 @t5 @t1)))) % 0.41/0.61 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rrx1a @t2 @t5)) (tptp.rrx1a @t1 @t5)))) % 0.41/0.61 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rrx1a @t5 @t2)) (tptp.rrx1a @t5 @t1)))) % 0.41/0.61 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rrx2 @t2 @t5)) (tptp.rrx2 @t1 @t5)))) % 0.41/0.61 (assume @p18 (forall @t6 (=> (and @t3 (tptp.rrx2 @t5 @t2)) (tptp.rrx2 @t5 @t1)))) % 0.41/0.61 (assume @p19 (forall @t6 (=> (and @t3 (tptp.rrx2a @t2 @t5)) (tptp.rrx2a @t1 @t5)))) % 0.41/0.61 (assume @p20 (forall @t6 (=> (and @t3 (tptp.rrx2a @t5 @t2)) (tptp.rrx2a @t5 @t1)))) % 0.41/0.61 (assume @p21 (forall @t6 (=> (and @t3 (tptp.rrx3 @t2 @t5)) (tptp.rrx3 @t1 @t5)))) % 0.41/0.61 (assume @p22 (forall @t6 (=> (and @t3 (tptp.rrx3 @t5 @t2)) (tptp.rrx3 @t5 @t1)))) % 0.41/0.61 (assume @p23 (forall @t6 (=> (and @t3 (tptp.rrx3a @t2 @t5)) (tptp.rrx3a @t1 @t5)))) % 0.41/0.61 (assume @p24 (forall @t6 (=> (and @t3 (tptp.rrx3a @t5 @t2)) (tptp.rrx3a @t5 @t1)))) % 0.41/0.61 (assume @p25 (forall @t6 (=> (and @t3 (tptp.rrx4 @t2 @t5)) (tptp.rrx4 @t1 @t5)))) % 0.41/0.61 (assume @p26 (forall @t6 (=> (and @t3 (tptp.rrx4 @t5 @t2)) (tptp.rrx4 @t5 @t1)))) % 0.41/0.61 (assume @p27 (forall @t6 (=> (and @t3 (tptp.rrx4a @t2 @t5)) (tptp.rrx4a @t1 @t5)))) % 0.41/0.61 (assume @p28 (forall @t6 (=> (and @t3 (tptp.rrx4a @t5 @t2)) (tptp.rrx4a @t5 @t1)))) % 0.41/0.61 (assume @p29 (forall @t6 (=> (and @t3 (tptp.rrxa @t2 @t5)) (tptp.rrxa @t1 @t5)))) % 0.41/0.61 (assume @p30 (forall @t6 (=> (and @t3 (tptp.rrxa @t5 @t2)) (tptp.rrxa @t5 @t1)))) % 0.41/0.61 (assume @p31 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.41/0.61 (assume @p32 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.41/0.61 (assume @p33 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.41/0.61 (assume @p34 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.41/0.61 (assume @p35 @t23) % 0.41/0.61 (assume @p36 (forall @t8 (= (tptp.ca_Ax2 @t7) (and (tptp.cc2 @t7) (tptp.cc1 @t7))))) % 0.41/0.61 (assume @p37 @t29) % 0.41/0.61 (assume @p38 @t35) % 0.41/0.61 (assume @p39 @t40) % 0.41/0.61 (assume @p40 @t47) % 0.41/0.61 (assume @p41 (forall @t46 (=> (and @t17 (tptp.rrx3 @t7 @t41)) @t42))) % 0.41/0.61 (assume @p42 (forall @t46 (=> (and @t48 (tptp.rrx3a @t7 @t41)) @t42))) % 0.41/0.61 (assume @p43 (forall @t46 (=> (and @t12 (tptp.rrx4 @t7 @t41)) @t42))) % 0.41/0.61 (assume @p44 (forall @t46 (=> (and @t49 (tptp.rrx4a @t7 @t41)) @t42))) % 0.41/0.61 (assume @p45 @t50) % 0.41/0.61 (assume @p46 (forall @t51 (=> @t17 (tptp.rrx1 @t7 @t10)))) % 0.41/0.61 (assume @p47 (forall @t51 (=> @t48 @t52))) % 0.41/0.61 (assume @p48 (forall @t51 (=> @t49 @t52))) % 0.41/0.61 (assume @p49 (forall @t51 (=> @t12 (tptp.rrx2 @t7 @t10)))) % 0.41/0.61 (assume @p50 @t53) % 0.41/0.61 (assume @p51 (forall @t51 (=> @t48 (tptp.rrx1a @t7 @t10)))) % 0.41/0.61 (assume @p52 (forall @t51 (=> @t49 (tptp.rrx2a @t7 @t10)))) % 0.41/0.61 (assume @p53 @t54) % 0.41/0.61 (step @p54 :rule bool-and-de-morgan :args (@t17 @t30 true)) % 0.41/0.61 (step @p55 :rule cong :premises (@p54) :args (@t55)) % 0.41/0.61 (step @p56 :rule cong :premises (@p55) :args (@t56)) % 0.41/0.61 (step @p57 :rule exists-elim :args ((= @t32 @t56))) % 0.41/0.61 (step @p58 :rule trans :premises (@p57 @p56)) % 0.41/0.61 (step @p59 :rule refl :args (@t33)) % 0.41/0.61 (step @p60 :rule cong :premises (@p59 @p58) :args (@t34)) % 0.41/0.61 (step @p61 :rule cong :premises (@p60) :args (@t35)) % 0.41/0.61 (step @p62 :rule eq_resolve :premises (@p38 @p61)) % 0.41/0.61 (step @p63 :rule instantiate :premises (@p62) :args (@t57)) % 0.41/0.61 (step @p64 :rule bool-double-not-elim :args (@t58)) % 0.41/0.61 (step @p65 :rule exists-elim :args ((= @t37 (not @t58)))) % 0.41/0.61 (step @p66 :rule cong :premises (@p65) :args (@t38)) % 0.41/0.61 (step @p67 :rule trans :premises (@p66 @p64)) % 0.41/0.61 (step @p68 :rule cong :premises (@p59 @p67) :args (@t39)) % 0.41/0.61 (step @p69 :rule cong :premises (@p68) :args (@t40)) % 0.41/0.61 (step @p70 :rule eq_resolve :premises (@p39 @p69)) % 0.41/0.61 (step @p71 :rule instantiate :premises (@p70) :args (@t57)) % 0.41/0.61 (step @p72 :rule exists-elim :args ((= @t27 (not (forall @t26 (not @t25)))))) % 0.41/0.61 (step @p73 :rule refl :args (@t9)) % 0.41/0.61 (step @p74 :rule cong :premises (@p73 @p72) :args (@t28)) % 0.41/0.61 (step @p75 :rule cong :premises (@p74) :args (@t29)) % 0.41/0.61 (step @p76 :rule eq_resolve :premises (@p37 @p75)) % 0.41/0.61 (step @p77 :rule instantiate :premises (@p76) :args (@t57)) % 0.41/0.61 (step @p78 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.41/0.61 (step @p79 :rule cong :premises (@p78) :args (@t59)) % 0.41/0.61 (step @p80 :rule cong :premises (@p79) :args (@t60)) % 0.41/0.61 (step @p81 :rule exists-elim :args ((= @t15 @t60))) % 0.41/0.61 (step @p82 :rule trans :premises (@p81 @p80)) % 0.41/0.61 (step @p83 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 0.41/0.61 (step @p84 :rule cong :premises (@p83) :args (@t61)) % 0.41/0.61 (step @p85 :rule cong :premises (@p84) :args (@t62)) % 0.41/0.61 (step @p86 :rule exists-elim :args ((= @t19 @t62))) % 0.41/0.61 (step @p87 :rule trans :premises (@p86 @p85)) % 0.41/0.61 (step @p88 :rule nary_cong :premises (@p87 @p82 @p73) :args (@t20)) % 0.41/0.61 (step @p89 :rule refl :args (@t21)) % 0.41/0.61 (step @p90 :rule cong :premises (@p89 @p88) :args (@t22)) % 0.41/0.61 (step @p91 :rule cong :premises (@p90) :args (@t23)) % 0.41/0.61 (step @p92 :rule eq_resolve :premises (@p35 @p91)) % 0.41/0.61 (step @p93 :rule instantiate :premises (@p92) :args (@t57)) % 0.41/0.61 (step @p94 :rule cnf_equiv_pos1 :args (@t70)) % 0.41/0.61 (step @p95 :rule reordering :premises (@p94) :args ((or (not @t50) @t69 (not @t70)))) % 0.41/0.61 (step @p96 :rule chain_m_resolution :premises (@p95 @p45 @p93) :args (@t69 @t71 (@list @t50 @t70))) % 0.41/0.61 (step @p97 :rule cnf_and_pos :args (@t69 2)) % 0.41/0.61 (step @p98 :rule reordering :premises (@p97) :args ((or @t63 @t72))) % 0.41/0.61 (step @p99 :rule chain_m_resolution :premises (@p98 @p96) :args (@t63 @t73 @t74)) % 0.41/0.61 (step @p100 :rule cnf_equiv_pos1 :args (@t77)) % 0.41/0.61 (step @p101 :rule reordering :premises (@p100) :args ((or (not @t63) @t76 (not @t77)))) % 0.41/0.61 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p77) :args (@t76 @t71 (@list @t63 @t77))) % 0.41/0.61 (step @p103 :rule alpha_equiv :args (@t75 (@list @t24) (@list @t10))) % 0.41/0.61 (step @p104 :rule equiv_elim2 :premises (@p103)) % 0.41/0.61 (step @p105 :rule chain_m_resolution :premises (@p104 @p102) :args ((not @t78) @t79 (@list @t75))) % 0.41/0.61 (step @p106 :rule cnf_equiv_pos1 :args (@t81)) % 0.41/0.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t78 @t82 (not @t81)))) % 0.41/0.61 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p71) :args (@t82 @t83 (@list @t78 @t81))) % 0.41/0.61 (step @p109 :rule bool-double-not-elim :args (@t84)) % 0.41/0.61 (step @p110 :rule refl :args (@t80)) % 0.41/0.61 (step @p111 :rule refl :args (@t87)) % 0.41/0.61 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109) :args ((or @t87 @t80 (not @t85)))) % 0.41/0.61 (step @p113 :rule cnf_equiv_pos2 :args (@t86)) % 0.41/0.61 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 0.41/0.61 (step @p115 :rule reordering :premises (@p114) :args ((or @t80 @t84 @t87))) % 0.41/0.61 (step @p116 :rule chain_m_resolution :premises (@p115 @p108 @p63) :args (@t84 @t83 (@list @t80 @t86))) % 0.41/0.61 (step @p117 :rule instantiate :premises (@p36) :args (@t89)) % 0.41/0.61 (step @p118 :rule cnf_and_pos :args (@t69 1)) % 0.41/0.61 (step @p119 :rule reordering :premises (@p118) :args ((or @t65 @t72))) % 0.41/0.61 (step @p120 :rule chain_m_resolution :premises (@p119 @p96) :args (@t65 @t73 @t74)) % 0.41/0.61 (step @p121 :rule skolemize :premises (@p120)) % 0.41/0.61 (step @p122 :rule bool-double-not-elim :args (@t91)) % 0.41/0.61 (step @p123 :rule refl :args (@t95)) % 0.41/0.61 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t95 (not @t92)))) % 0.41/0.61 (step @p125 :rule cnf_or_neg :args (@t95 1)) % 0.41/0.61 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 0.41/0.61 (step @p127 :rule reordering :premises (@p126) :args ((or @t91 @t95))) % 0.41/0.61 (step @p128 :rule chain_m_resolution :premises (@p127 @p121) :args (@t91 @t79 @t96)) % 0.41/0.61 (step @p129 :rule true_intro :premises (@p128)) % 0.41/0.61 (step @p130 :rule aci_norm :args ((= (or (or @t98 @t97) @t42) @t99))) % 0.41/0.61 (step @p131 :rule refl :args (@t42)) % 0.41/0.61 (step @p132 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 0.41/0.61 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t45) @t42))) % 0.41/0.61 (step @p134 :rule trans :premises (@p133 @p130)) % 0.41/0.61 (step @p135 :rule bool-impl-elim :args (@t45 @t42)) % 0.41/0.61 (step @p136 :rule trans :premises (@p135 @p134)) % 0.41/0.61 (step @p137 :rule cong :premises (@p136) :args (@t47)) % 0.41/0.61 (step @p138 :rule eq_resolve :premises (@p40 @p137)) % 0.41/0.61 (step @p139 :rule eq-symm :args (@t90 @t88)) % 0.41/0.61 (step @p140 :rule refl :args (@t101)) % 0.41/0.61 (step @p141 :rule refl :args (@t103)) % 0.41/0.61 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139) :args (@t104)) % 0.41/0.61 (step @p143 :rule refl :args (@t105)) % 0.41/0.61 (step @p144 :rule cong :premises (@p143 @p142) :args ((=> @t105 @t104))) % 0.41/0.61 (assume-push @p210 @t105) % 0.41/0.61 (step @p146 :rule instantiate :premises (@p138) :args ((@list tptp.i2003_11_14_17_21_01226 @t90 @t88))) % 0.41/0.61 (step-pop @p211 :rule scope :premises (@p146)) % 0.41/0.61 (step @p147 :rule process_scope :premises (@p211) :args (@t104)) % 0.41/0.61 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 0.41/0.61 (step @p150 :rule implies_elim :premises (@p149)) % 0.41/0.61 (step @p151 :rule chain_m_resolution :premises (@p150 @p138) :args (@t107 @t73 (@list @t105))) % 0.41/0.61 (step @p152 :rule bool-impl-elim :args (@t17 @t44)) % 0.41/0.61 (step @p153 :rule cong :premises (@p152) :args (@t54)) % 0.41/0.61 (step @p154 :rule eq_resolve :premises (@p53 @p153)) % 0.41/0.61 (step @p155 :rule instantiate :premises (@p154) :args ((@list tptp.i2003_11_14_17_21_01226 @t88))) % 0.41/0.61 (step @p156 :rule cnf_and_pos :args (@t69 0)) % 0.41/0.61 (step @p157 :rule reordering :premises (@p156) :args ((or @t68 @t72))) % 0.41/0.61 (step @p158 :rule chain_m_resolution :premises (@p157 @p96) :args (@t68 @t73 @t74)) % 0.41/0.61 (step @p159 :rule skolemize :premises (@p158)) % 0.41/0.61 (step @p160 :rule bool-double-not-elim :args (@t108)) % 0.41/0.61 (step @p161 :rule refl :args (@t112)) % 0.41/0.61 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t112 (not @t111)))) % 0.41/0.61 (step @p163 :rule cnf_or_neg :args (@t112 0)) % 0.41/0.61 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.41/0.61 (step @p165 :rule reordering :premises (@p164) :args ((or @t108 @t112))) % 0.41/0.61 (step @p166 :rule chain_m_resolution :premises (@p165 @p159) :args (@t108 @t79 @t113)) % 0.41/0.61 (step @p167 :rule cnf_or_pos :args (@t114)) % 0.41/0.61 (step @p168 :rule reordering :premises (@p167) :args ((or @t111 @t100 (not @t114)))) % 0.41/0.61 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p155) :args (@t100 @t71 (@list @t108 @t114))) % 0.41/0.61 (step @p170 :rule bool-impl-elim :args (@t12 @t44)) % 0.41/0.61 (step @p171 :rule cong :premises (@p170) :args (@t53)) % 0.41/0.61 (step @p172 :rule eq_resolve :premises (@p50 @p171)) % 0.41/0.61 (step @p173 :rule instantiate :premises (@p172) :args ((@list tptp.i2003_11_14_17_21_01226 @t90))) % 0.41/0.61 (step @p174 :rule bool-double-not-elim :args (@t93)) % 0.41/0.61 (step @p175 :rule nary_cong :premises (@p123 @p174) :args ((or @t95 (not @t94)))) % 0.41/0.61 (step @p176 :rule cnf_or_neg :args (@t95 0)) % 0.41/0.61 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 0.41/0.61 (step @p178 :rule reordering :premises (@p177) :args ((or @t93 @t95))) % 0.41/0.61 (step @p179 :rule chain_m_resolution :premises (@p178 @p121) :args (@t93 @t79 @t96)) % 0.41/0.61 (step @p180 :rule cnf_or_pos :args (@t115)) % 0.41/0.61 (step @p181 :rule reordering :premises (@p180) :args ((or @t94 @t102 (not @t115)))) % 0.41/0.61 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p173) :args (@t102 @t71 (@list @t93 @t115))) % 0.41/0.61 (step @p183 :rule cnf_or_pos :args (@t107)) % 0.41/0.61 (step @p184 :rule reordering :premises (@p183) :args ((or @t103 @t101 @t106 (not @t107)))) % 0.41/0.61 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p169 @p151) :args (@t106 (@list false false false) (@list @t102 @t100 @t107))) % 0.41/0.61 (step @p186 :rule cong :premises (@p185) :args (@t116)) % 0.41/0.61 (step @p187 :rule trans :premises (@p186 @p129)) % 0.41/0.61 (step @p188 :rule true_elim :premises (@p187)) % 0.41/0.61 (step @p189 :rule bool-double-not-elim :args (@t109)) % 0.41/0.61 (step @p190 :rule nary_cong :premises (@p161 @p189) :args ((or @t112 (not @t110)))) % 0.41/0.61 (step @p191 :rule cnf_or_neg :args (@t112 1)) % 0.41/0.61 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 0.41/0.61 (step @p193 :rule reordering :premises (@p192) :args ((or @t109 @t112))) % 0.41/0.61 (step @p194 :rule chain_m_resolution :premises (@p193 @p159) :args (@t109 @t79 @t113)) % 0.41/0.61 (step @p195 :rule cnf_and_neg :args (@t117)) % 0.41/0.61 (step @p196 :rule reordering :premises (@p195) :args ((or @t110 @t117 (not @t116)))) % 0.41/0.61 (step @p197 :rule chain_m_resolution :premises (@p196 @p194 @p188) :args (@t117 @t71 (@list @t109 @t116))) % 0.41/0.61 (step @p198 :rule cnf_equiv_pos2 :args (@t119)) % 0.41/0.61 (step @p199 :rule reordering :premises (@p198) :args ((or @t118 (not @t117) (not @t119)))) % 0.41/0.61 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p117) :args (@t118 @t71 (@list @t117 @t119))) % 0.41/0.61 (step @p201 :rule cnf_or_pos :args (@t121)) % 0.41/0.61 (step @p202 :rule reordering :premises (@p201) :args ((or @t111 @t120 @t122))) % 0.41/0.61 (step @p203 :rule chain_m_resolution :premises (@p202 @p166 @p200) :args (@t122 @t71 (@list @t108 @t118))) % 0.41/0.61 (assume-push @p212 @t84) % 0.41/0.61 (step @p205 :rule instantiate :premises (@p116) :args (@t89)) % 0.41/0.61 (step-pop @p213 :rule scope :premises (@p205)) % 0.41/0.61 (step @p206 :rule process_scope :premises (@p213) :args (@t121)) % 0.41/0.61 (step @p208 :rule implies_elim :premises (@p206)) % 0.41/0.61 (step @p209 false :rule chain_m_resolution :premises (@p208 @p203 @p116) :args (false @t83 (@list @t121 @t84))) % 0.41/0.61 ) % 0.41/0.61 % SZS output end Proof % 0.41/0.61 % cvc5 exiting %------------------------------------------------------------------------------