%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KRS114+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 : n009.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 08:28:57 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KRS114+1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:27:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.xsd_string (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.rs (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.rr (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.xsd_integer (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ca_Ax3 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ca_Ax4 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ca_Vx5 (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.cowlNothing (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.cowlThing (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.i2003_11_14_17_21_262 $$unsorted) % 0.39/0.59 (declare-const tptp.cp (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.cpxcomp (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.cq (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.ra_Px2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.cqxcomp (-> $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.rinvR (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.59 (define @t2 () (@var "A" $$unsorted)) % 0.39/0.59 (define @t3 () (= @t2 @t1)) % 0.39/0.59 (define @t4 () (@list @t2 @t1)) % 0.39/0.59 (define @t5 () (@var "C" $$unsorted)) % 0.39/0.59 (define @t6 () (@list @t2 @t1 @t5)) % 0.39/0.59 (define @t7 () (@var "X" $$unsorted)) % 0.39/0.59 (define @t8 () (@list @t7)) % 0.39/0.59 (define @t9 () (@var "Y" $$unsorted)) % 0.39/0.59 (define @t10 () (tptp.ca_Ax3 @t9)) % 0.39/0.59 (define @t11 () (tptp.rs @t7 @t9)) % 0.39/0.59 (define @t12 () (and @t11 @t10)) % 0.39/0.59 (define @t13 () (@list @t9)) % 0.39/0.59 (define @t14 () (exists @t13 @t12)) % 0.39/0.59 (define @t15 () (tptp.ca_Ax4 @t9)) % 0.39/0.59 (define @t16 () (tptp.rr @t7 @t9)) % 0.39/0.59 (define @t17 () (and @t16 @t15)) % 0.39/0.59 (define @t18 () (exists @t13 @t17)) % 0.39/0.59 (define @t19 () (and @t18 @t14)) % 0.39/0.59 (define @t20 () (tptp.cUnsatisfiable @t7)) % 0.39/0.59 (define @t21 () (= @t20 @t19)) % 0.39/0.59 (define @t22 () (forall @t8 @t21)) % 0.39/0.59 (define @t23 () (tptp.ra_Px1 @t7 @t9)) % 0.39/0.59 (define @t24 () (exists @t13 @t23)) % 0.39/0.59 (define @t25 () (not @t24)) % 0.39/0.59 (define @t26 () (tptp.cp @t7)) % 0.39/0.59 (define @t27 () (= @t26 @t25)) % 0.39/0.59 (define @t28 () (forall @t8 @t27)) % 0.39/0.59 (define @t29 () (@var "Y0" $$unsorted)) % 0.39/0.59 (define @t30 () (tptp.ra_Px1 @t7 @t29)) % 0.39/0.59 (define @t31 () (@list @t29)) % 0.39/0.59 (define @t32 () (exists @t31 @t30)) % 0.39/0.59 (define @t33 () (tptp.cpxcomp @t7)) % 0.39/0.59 (define @t34 () (= @t33 @t32)) % 0.39/0.59 (define @t35 () (forall @t8 @t34)) % 0.39/0.59 (define @t36 () (tptp.cqxcomp @t7)) % 0.39/0.59 (define @t37 () (tptp.ca_Vx5 @t9)) % 0.39/0.59 (define @t38 () (tptp.rinvR @t7 @t9)) % 0.39/0.59 (define @t39 () (and @t38 @t37)) % 0.39/0.59 (define @t40 () (exists @t13 @t39)) % 0.39/0.59 (define @t41 () (@var "Y1" $$unsorted)) % 0.39/0.59 (define @t42 () (= @t29 @t41)) % 0.39/0.59 (define @t43 () (tptp.rinvR @t7 @t41)) % 0.39/0.59 (define @t44 () (tptp.rinvR @t7 @t29)) % 0.39/0.59 (define @t45 () (and @t44 @t43)) % 0.39/0.59 (define @t46 () (@list @t29 @t41)) % 0.39/0.59 (define @t47 () (forall @t46 (=> @t45 @t42))) % 0.39/0.59 (define @t48 () (and @t47 @t40)) % 0.39/0.59 (define @t49 () (tptp.ca_Ax4 @t7)) % 0.39/0.59 (define @t50 () (= @t49 @t48)) % 0.39/0.59 (define @t51 () (forall @t8 @t50)) % 0.39/0.59 (define @t52 () (tptp.cp @t9)) % 0.39/0.59 (define @t53 () (forall @t13 (=> @t11 @t52))) % 0.39/0.59 (define @t54 () (tptp.ca_Vx5 @t7)) % 0.39/0.59 (define @t55 () (= @t54 @t53)) % 0.39/0.59 (define @t56 () (forall @t8 @t55)) % 0.39/0.59 (define @t57 () (forall (@list @t7 @t9) (= @t38 (tptp.rr @t9 @t7)))) % 0.39/0.59 (define @t58 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_21_262)) % 0.39/0.59 (define @t59 () (forall @t13 (or (not (tptp.rr tptp.i2003_11_14_17_21_262 @t9)) (not @t15)))) % 0.39/0.59 (define @t60 () (@quantifiers_skolemize @t59 0)) % 0.39/0.59 (define @t61 () (forall @t13 (or (not (tptp.rinvR @t60 @t9)) (not @t37)))) % 0.39/0.59 (define @t62 () (@quantifiers_skolemize @t61 0)) % 0.39/0.59 (define @t63 () (forall @t13 (not @t39))) % 0.39/0.59 (define @t64 () (not @t63)) % 0.39/0.59 (define @t65 () (not @t43)) % 0.39/0.59 (define @t66 () (not @t44)) % 0.39/0.59 (define @t67 () (forall @t13 (not @t12))) % 0.39/0.59 (define @t68 () (not @t67)) % 0.39/0.59 (define @t69 () (forall @t13 (not @t17))) % 0.39/0.59 (define @t70 () (not @t69)) % 0.39/0.59 (define @t71 () (forall @t13 (or (not (tptp.rs tptp.i2003_11_14_17_21_262 @t9)) (not @t10)))) % 0.39/0.59 (define @t72 () (not @t71)) % 0.39/0.59 (define @t73 () (not @t59)) % 0.39/0.59 (define @t74 () (and @t73 @t72)) % 0.39/0.59 (define @t75 () (= @t58 @t74)) % 0.39/0.59 (define @t76 () (@list false false)) % 0.39/0.59 (define @t77 () (not @t74)) % 0.39/0.59 (define @t78 () (@list false)) % 0.39/0.59 (define @t79 () (@list @t74)) % 0.39/0.59 (define @t80 () (tptp.ca_Ax4 @t60)) % 0.39/0.59 (define @t81 () (not @t80)) % 0.39/0.59 (define @t82 () (tptp.rr tptp.i2003_11_14_17_21_262 @t60)) % 0.39/0.59 (define @t83 () (not @t82)) % 0.39/0.59 (define @t84 () (or @t83 @t81)) % 0.39/0.59 (define @t85 () (@list true)) % 0.39/0.59 (define @t86 () (@list @t84)) % 0.39/0.59 (define @t87 () (not @t61)) % 0.39/0.59 (define @t88 () (forall @t46 (or (not (tptp.rinvR @t60 @t29)) (not (tptp.rinvR @t60 @t41)) @t42))) % 0.39/0.59 (define @t89 () (and @t88 @t87)) % 0.39/0.59 (define @t90 () (= @t80 @t89)) % 0.39/0.59 (define @t91 () (not @t89)) % 0.39/0.59 (define @t92 () (@list @t89)) % 0.39/0.59 (define @t93 () (tptp.ca_Vx5 @t62)) % 0.39/0.59 (define @t94 () (not @t93)) % 0.39/0.59 (define @t95 () (tptp.rinvR @t60 @t62)) % 0.39/0.59 (define @t96 () (not @t95)) % 0.39/0.59 (define @t97 () (or @t96 @t94)) % 0.39/0.59 (define @t98 () (@list @t97)) % 0.39/0.59 (define @t99 () (forall @t13 (or (not (tptp.rs @t62 @t9)) @t52))) % 0.39/0.59 (define @t100 () (= @t93 @t99)) % 0.39/0.59 (define @t101 () (@quantifiers_skolemize @t71 0)) % 0.39/0.59 (define @t102 () (@list @t101)) % 0.39/0.59 (define @t103 () (tptp.rs tptp.i2003_11_14_17_21_262 @t101)) % 0.39/0.59 (define @t104 () (tptp.ca_Ax3 @t101)) % 0.39/0.59 (define @t105 () (not @t104)) % 0.39/0.59 (define @t106 () (not @t103)) % 0.39/0.59 (define @t107 () (or @t106 @t105)) % 0.39/0.59 (define @t108 () (@list @t107)) % 0.39/0.59 (define @t109 () (tptp.rinvR @t60 tptp.i2003_11_14_17_21_262)) % 0.39/0.59 (define @t110 () (= @t109 @t82)) % 0.39/0.59 (define @t111 () (= @t82 @t109)) % 0.39/0.59 (define @t112 () (= tptp.i2003_11_14_17_21_262 @t62)) % 0.39/0.59 (define @t113 () (not @t109)) % 0.39/0.59 (define @t114 () (or @t113 @t96 @t112)) % 0.39/0.59 (define @t115 () (tptp.rs @t62 @t101)) % 0.39/0.59 (define @t116 () (tptp.cp @t101)) % 0.39/0.59 (define @t117 () (not @t115)) % 0.39/0.59 (define @t118 () (or @t117 @t116)) % 0.39/0.59 (define @t119 () (tptp.cpxcomp @t101)) % 0.39/0.59 (define @t120 () (and (tptp.cqxcomp @t101) @t119)) % 0.39/0.59 (define @t121 () (= @t104 @t120)) % 0.39/0.59 (define @t122 () (forall @t31 (not (tptp.ra_Px1 @t101 @t29)))) % 0.39/0.59 (define @t123 () (not @t122)) % 0.39/0.59 (define @t124 () (= @t119 @t123)) % 0.39/0.59 (define @t125 () (forall @t13 (not (tptp.ra_Px1 @t101 @t9)))) % 0.39/0.59 (define @t126 () (forall @t13 (not @t23))) % 0.39/0.59 (define @t127 () (= @t116 @t125)) % 0.39/0.59 (assume @p1 (forall @t4 (=> (and @t3 (tptp.cUnsatisfiable @t2)) (tptp.cUnsatisfiable @t1)))) % 0.39/0.59 (assume @p2 (forall @t4 (=> (and @t3 (tptp.ca_Ax3 @t2)) (tptp.ca_Ax3 @t1)))) % 0.39/0.59 (assume @p3 (forall @t4 (=> (and @t3 (tptp.ca_Ax4 @t2)) (tptp.ca_Ax4 @t1)))) % 0.39/0.59 (assume @p4 (forall @t4 (=> (and @t3 (tptp.ca_Vx5 @t2)) (tptp.ca_Vx5 @t1)))) % 0.39/0.59 (assume @p5 (forall @t4 (=> (and @t3 (tptp.cowlNothing @t2)) (tptp.cowlNothing @t1)))) % 0.39/0.59 (assume @p6 (forall @t4 (=> (and @t3 (tptp.cowlThing @t2)) (tptp.cowlThing @t1)))) % 0.39/0.59 (assume @p7 (forall @t4 (=> (and @t3 (tptp.cp @t2)) (tptp.cp @t1)))) % 0.39/0.59 (assume @p8 (forall @t4 (=> (and @t3 (tptp.cpxcomp @t2)) (tptp.cpxcomp @t1)))) % 0.39/0.59 (assume @p9 (forall @t4 (=> (and @t3 (tptp.cq @t2)) (tptp.cq @t1)))) % 0.39/0.59 (assume @p10 (forall @t4 (=> (and @t3 (tptp.cqxcomp @t2)) (tptp.cqxcomp @t1)))) % 0.39/0.59 (assume @p11 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t2 @t5)) (tptp.ra_Px1 @t1 @t5)))) % 0.39/0.59 (assume @p12 (forall @t6 (=> (and @t3 (tptp.ra_Px1 @t5 @t2)) (tptp.ra_Px1 @t5 @t1)))) % 0.39/0.59 (assume @p13 (forall @t6 (=> (and @t3 (tptp.ra_Px2 @t2 @t5)) (tptp.ra_Px2 @t1 @t5)))) % 0.39/0.59 (assume @p14 (forall @t6 (=> (and @t3 (tptp.ra_Px2 @t5 @t2)) (tptp.ra_Px2 @t5 @t1)))) % 0.39/0.59 (assume @p15 (forall @t6 (=> (and @t3 (tptp.rinvR @t2 @t5)) (tptp.rinvR @t1 @t5)))) % 0.39/0.59 (assume @p16 (forall @t6 (=> (and @t3 (tptp.rinvR @t5 @t2)) (tptp.rinvR @t5 @t1)))) % 0.39/0.59 (assume @p17 (forall @t6 (=> (and @t3 (tptp.rr @t2 @t5)) (tptp.rr @t1 @t5)))) % 0.39/0.59 (assume @p18 (forall @t6 (=> (and @t3 (tptp.rr @t5 @t2)) (tptp.rr @t5 @t1)))) % 0.39/0.59 (assume @p19 (forall @t6 (=> (and @t3 (tptp.rs @t2 @t5)) (tptp.rs @t1 @t5)))) % 0.39/0.59 (assume @p20 (forall @t6 (=> (and @t3 (tptp.rs @t5 @t2)) (tptp.rs @t5 @t1)))) % 0.39/0.59 (assume @p21 (forall @t4 (=> (and @t3 (tptp.xsd_integer @t2)) (tptp.xsd_integer @t1)))) % 0.39/0.59 (assume @p22 (forall @t4 (=> (and @t3 (tptp.xsd_string @t2)) (tptp.xsd_string @t1)))) % 0.39/0.59 (assume @p23 (forall @t8 (and (tptp.cowlThing @t7) (not (tptp.cowlNothing @t7))))) % 0.39/0.59 (assume @p24 (forall @t8 (= (tptp.xsd_string @t7) (not (tptp.xsd_integer @t7))))) % 0.39/0.59 (assume @p25 @t22) % 0.39/0.59 (assume @p26 @t28) % 0.39/0.59 (assume @p27 @t35) % 0.39/0.59 (assume @p28 (forall @t8 (= (tptp.cq @t7) (exists @t31 (tptp.ra_Px2 @t7 @t29))))) % 0.39/0.59 (assume @p29 (forall @t8 (= @t36 (not (exists @t13 (tptp.ra_Px2 @t7 @t9)))))) % 0.39/0.59 (assume @p30 (forall @t8 (= (tptp.ca_Ax3 @t7) (and @t36 @t33)))) % 0.39/0.59 (assume @p31 @t51) % 0.39/0.59 (assume @p32 @t56) % 0.39/0.59 (assume @p33 @t57) % 0.39/0.59 (assume @p34 @t58) % 0.39/0.59 (step @p35 :rule bool-impl-elim :args (@t11 @t52)) % 0.39/0.59 (step @p36 :rule cong :premises (@p35) :args (@t53)) % 0.39/0.59 (step @p37 :rule refl :args (@t54)) % 0.39/0.59 (step @p38 :rule cong :premises (@p37 @p36) :args (@t55)) % 0.39/0.59 (step @p39 :rule cong :premises (@p38) :args (@t56)) % 0.39/0.59 (step @p40 :rule eq_resolve :premises (@p32 @p39)) % 0.39/0.59 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t62))) % 0.39/0.59 (step @p42 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 0.39/0.59 (step @p43 :rule cong :premises (@p42) :args (@t63)) % 0.39/0.59 (step @p44 :rule cong :premises (@p43) :args (@t64)) % 0.39/0.59 (step @p45 :rule exists-elim :args ((= @t40 @t64))) % 0.39/0.59 (step @p46 :rule trans :premises (@p45 @p44)) % 0.39/0.59 (step @p47 :rule aci_norm :args ((= (or (or @t66 @t65) @t42) (or @t66 @t65 @t42)))) % 0.39/0.59 (step @p48 :rule refl :args (@t42)) % 0.39/0.59 (step @p49 :rule bool-and-de-morgan :args (@t44 @t43 true)) % 0.39/0.59 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t45) @t42))) % 0.39/0.59 (step @p51 :rule trans :premises (@p50 @p47)) % 0.39/0.59 (step @p52 :rule bool-impl-elim :args (@t45 @t42)) % 0.39/0.59 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.59 (step @p54 :rule cong :premises (@p53) :args (@t47)) % 0.39/0.59 (step @p55 :rule nary_cong :premises (@p54 @p46) :args (@t48)) % 0.39/0.59 (step @p56 :rule refl :args (@t49)) % 0.39/0.59 (step @p57 :rule cong :premises (@p56 @p55) :args (@t50)) % 0.39/0.59 (step @p58 :rule cong :premises (@p57) :args (@t51)) % 0.39/0.59 (step @p59 :rule eq_resolve :premises (@p31 @p58)) % 0.39/0.59 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t60))) % 0.39/0.59 (step @p61 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.39/0.59 (step @p62 :rule cong :premises (@p61) :args (@t67)) % 0.39/0.59 (step @p63 :rule cong :premises (@p62) :args (@t68)) % 0.39/0.59 (step @p64 :rule exists-elim :args ((= @t14 @t68))) % 0.39/0.59 (step @p65 :rule trans :premises (@p64 @p63)) % 0.39/0.59 (step @p66 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.39/0.59 (step @p67 :rule cong :premises (@p66) :args (@t69)) % 0.39/0.59 (step @p68 :rule cong :premises (@p67) :args (@t70)) % 0.39/0.59 (step @p69 :rule exists-elim :args ((= @t18 @t70))) % 0.39/0.59 (step @p70 :rule trans :premises (@p69 @p68)) % 0.39/0.59 (step @p71 :rule nary_cong :premises (@p70 @p65) :args (@t19)) % 0.39/0.59 (step @p72 :rule refl :args (@t20)) % 0.39/0.59 (step @p73 :rule cong :premises (@p72 @p71) :args (@t21)) % 0.39/0.59 (step @p74 :rule cong :premises (@p73) :args (@t22)) % 0.39/0.59 (step @p75 :rule eq_resolve :premises (@p25 @p74)) % 0.39/0.59 (step @p76 :rule instantiate :premises (@p75) :args ((@list tptp.i2003_11_14_17_21_262))) % 0.39/0.59 (step @p77 :rule cnf_equiv_pos1 :args (@t75)) % 0.39/0.59 (step @p78 :rule reordering :premises (@p77) :args ((or (not @t58) @t74 (not @t75)))) % 0.39/0.59 (step @p79 :rule chain_m_resolution :premises (@p78 @p34 @p76) :args (@t74 @t76 (@list @t58 @t75))) % 0.39/0.59 (step @p80 :rule cnf_and_pos :args (@t74 0)) % 0.39/0.59 (step @p81 :rule reordering :premises (@p80) :args ((or @t73 @t77))) % 0.39/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p79) :args (@t73 @t78 @t79)) % 0.39/0.59 (step @p83 :rule skolemize :premises (@p82)) % 0.39/0.59 (step @p84 :rule bool-double-not-elim :args (@t80)) % 0.39/0.59 (step @p85 :rule refl :args (@t84)) % 0.39/0.59 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t84 (not @t81)))) % 0.39/0.59 (step @p87 :rule cnf_or_neg :args (@t84 1)) % 0.39/0.59 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.39/0.59 (step @p89 :rule reordering :premises (@p88) :args ((or @t80 @t84))) % 0.39/0.59 (step @p90 :rule chain_m_resolution :premises (@p89 @p83) :args (@t80 @t85 @t86)) % 0.39/0.59 (step @p91 :rule cnf_equiv_pos1 :args (@t90)) % 0.39/0.59 (step @p92 :rule reordering :premises (@p91) :args ((or @t81 @t89 (not @t90)))) % 0.39/0.59 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p60) :args (@t89 @t76 (@list @t80 @t90))) % 0.39/0.59 (step @p94 :rule cnf_and_pos :args (@t89 1)) % 0.39/0.59 (step @p95 :rule reordering :premises (@p94) :args ((or @t87 @t91))) % 0.39/0.59 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args (@t87 @t78 @t92)) % 0.39/0.59 (step @p97 :rule skolemize :premises (@p96)) % 0.39/0.59 (step @p98 :rule bool-double-not-elim :args (@t93)) % 0.39/0.59 (step @p99 :rule refl :args (@t97)) % 0.39/0.59 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t97 (not @t94)))) % 0.39/0.59 (step @p101 :rule cnf_or_neg :args (@t97 1)) % 0.39/0.59 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.39/0.59 (step @p103 :rule reordering :premises (@p102) :args ((or @t93 @t97))) % 0.39/0.59 (step @p104 :rule chain_m_resolution :premises (@p103 @p97) :args (@t93 @t85 @t98)) % 0.39/0.59 (step @p105 :rule cnf_equiv_pos1 :args (@t100)) % 0.39/0.59 (step @p106 :rule reordering :premises (@p105) :args ((or @t94 @t99 (not @t100)))) % 0.39/0.59 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p41) :args (@t99 @t76 (@list @t93 @t100))) % 0.39/0.59 (step @p108 :rule instantiate :premises (@p107) :args (@t102)) % 0.39/0.59 (step @p109 :rule cnf_and_pos :args (@t74 1)) % 0.39/0.59 (step @p110 :rule reordering :premises (@p109) :args ((or @t72 @t77))) % 0.39/0.59 (step @p111 :rule chain_m_resolution :premises (@p110 @p79) :args (@t72 @t78 @t79)) % 0.39/0.59 (step @p112 :rule skolemize :premises (@p111)) % 0.39/0.59 (step @p113 :rule bool-double-not-elim :args (@t103)) % 0.39/0.59 (step @p114 :rule refl :args (@t107)) % 0.39/0.59 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t107 (not @t106)))) % 0.39/0.59 (step @p116 :rule cnf_or_neg :args (@t107 0)) % 0.39/0.59 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.39/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or @t103 @t107))) % 0.39/0.59 (step @p119 :rule chain_m_resolution :premises (@p118 @p112) :args (@t103 @t85 @t108)) % 0.39/0.59 (step @p120 :rule true_intro :premises (@p119)) % 0.39/0.59 (step @p121 :rule refl :args (@t101)) % 0.39/0.59 (step @p122 :rule cnf_and_pos :args (@t89 0)) % 0.39/0.59 (step @p123 :rule reordering :premises (@p122) :args ((or @t88 @t91))) % 0.39/0.59 (step @p124 :rule chain_m_resolution :premises (@p123 @p93) :args (@t88 @t78 @t92)) % 0.39/0.59 (step @p125 :rule instantiate :premises (@p124) :args ((@list tptp.i2003_11_14_17_21_262 @t62))) % 0.39/0.59 (step @p126 :rule bool-double-not-elim :args (@t95)) % 0.39/0.59 (step @p127 :rule nary_cong :premises (@p99 @p126) :args ((or @t97 (not @t96)))) % 0.39/0.59 (step @p128 :rule cnf_or_neg :args (@t97 0)) % 0.39/0.59 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.39/0.59 (step @p130 :rule reordering :premises (@p129) :args ((or @t95 @t97))) % 0.39/0.59 (step @p131 :rule chain_m_resolution :premises (@p130 @p97) :args (@t95 @t85 @t98)) % 0.39/0.59 (step @p132 :rule eq-symm :args (@t109 @t82)) % 0.39/0.59 (step @p133 :rule refl :args (@t57)) % 0.39/0.59 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t57 @t110))) % 0.39/0.59 (assume-push @p198 @t57) % 0.39/0.59 (step @p136 :rule instantiate :premises (@p33) :args ((@list @t60 tptp.i2003_11_14_17_21_262))) % 0.39/0.59 (step-pop @p199 :rule scope :premises (@p136)) % 0.39/0.59 (step @p137 :rule process_scope :premises (@p199) :args (@t110)) % 0.39/0.59 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 0.39/0.59 (step @p140 :rule implies_elim :premises (@p139)) % 0.39/0.59 (step @p141 :rule chain_m_resolution :premises (@p140 @p33) :args (@t111 @t78 (@list @t57))) % 0.39/0.59 (step @p142 :rule bool-double-not-elim :args (@t82)) % 0.39/0.59 (step @p143 :rule nary_cong :premises (@p85 @p142) :args ((or @t84 (not @t83)))) % 0.39/0.59 (step @p144 :rule cnf_or_neg :args (@t84 0)) % 0.39/0.59 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.39/0.59 (step @p146 :rule reordering :premises (@p145) :args ((or @t82 @t84))) % 0.39/0.59 (step @p147 :rule chain_m_resolution :premises (@p146 @p83) :args (@t82 @t85 @t86)) % 0.39/0.59 (step @p148 :rule cnf_equiv_pos1 :args (@t111)) % 0.39/0.59 (step @p149 :rule reordering :premises (@p148) :args ((or @t83 @t109 (not @t111)))) % 0.39/0.59 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p141) :args (@t109 @t76 (@list @t82 @t111))) % 0.39/0.59 (step @p151 :rule cnf_or_pos :args (@t114)) % 0.39/0.59 (step @p152 :rule reordering :premises (@p151) :args ((or @t113 @t96 @t112 (not @t114)))) % 0.39/0.59 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p131 @p125) :args (@t112 (@list false false false) (@list @t109 @t95 @t114))) % 0.39/0.59 (step @p154 :rule symm :premises (@p153)) % 0.39/0.59 (step @p155 :rule cong :premises (@p154 @p121) :args (@t115)) % 0.39/0.59 (step @p156 :rule trans :premises (@p155 @p120)) % 0.39/0.59 (step @p157 :rule true_elim :premises (@p156)) % 0.39/0.59 (step @p158 :rule cnf_or_pos :args (@t118)) % 0.39/0.59 (step @p159 :rule reordering :premises (@p158) :args ((or @t117 @t116 (not @t118)))) % 0.39/0.59 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p108) :args (@t116 @t76 (@list @t115 @t118))) % 0.39/0.59 (step @p161 :rule exists-elim :args ((= @t32 (not (forall @t31 (not @t30)))))) % 0.39/0.59 (step @p162 :rule refl :args (@t33)) % 0.39/0.59 (step @p163 :rule cong :premises (@p162 @p161) :args (@t34)) % 0.39/0.59 (step @p164 :rule cong :premises (@p163) :args (@t35)) % 0.39/0.59 (step @p165 :rule eq_resolve :premises (@p27 @p164)) % 0.39/0.59 (step @p166 :rule instantiate :premises (@p165) :args (@t102)) % 0.39/0.59 (step @p167 :rule instantiate :premises (@p30) :args (@t102)) % 0.39/0.59 (step @p168 :rule bool-double-not-elim :args (@t104)) % 0.39/0.59 (step @p169 :rule nary_cong :premises (@p114 @p168) :args ((or @t107 (not @t105)))) % 0.39/0.59 (step @p170 :rule cnf_or_neg :args (@t107 1)) % 0.39/0.59 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 0.39/0.59 (step @p172 :rule reordering :premises (@p171) :args ((or @t104 @t107))) % 0.39/0.59 (step @p173 :rule chain_m_resolution :premises (@p172 @p112) :args (@t104 @t85 @t108)) % 0.39/0.59 (step @p174 :rule cnf_equiv_pos1 :args (@t121)) % 0.39/0.59 (step @p175 :rule reordering :premises (@p174) :args ((or @t105 @t120 (not @t121)))) % 0.39/0.59 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p167) :args (@t120 @t76 (@list @t104 @t121))) % 0.39/0.59 (step @p177 :rule cnf_and_pos :args (@t120 1)) % 0.39/0.59 (step @p178 :rule reordering :premises (@p177) :args ((or @t119 (not @t120)))) % 0.39/0.59 (step @p179 :rule chain_m_resolution :premises (@p178 @p176) :args (@t119 @t78 (@list @t120))) % 0.39/0.59 (step @p180 :rule cnf_equiv_pos1 :args (@t124)) % 0.39/0.59 (step @p181 :rule reordering :premises (@p180) :args ((or (not @t119) @t123 (not @t124)))) % 0.39/0.59 (step @p182 :rule chain_m_resolution :premises (@p181 @p179 @p166) :args (@t123 @t76 (@list @t119 @t124))) % 0.39/0.59 (step @p183 :rule alpha_equiv :args (@t122 (@list @t29) (@list @t9))) % 0.39/0.59 (step @p184 :rule equiv_elim2 :premises (@p183)) % 0.39/0.59 (step @p185 :rule chain_m_resolution :premises (@p184 @p182) :args ((not @t125) @t85 (@list @t122))) % 0.39/0.59 (step @p186 :rule bool-double-not-elim :args (@t126)) % 0.39/0.59 (step @p187 :rule exists-elim :args ((= @t24 (not @t126)))) % 0.39/0.59 (step @p188 :rule cong :premises (@p187) :args (@t25)) % 0.39/0.59 (step @p189 :rule trans :premises (@p188 @p186)) % 0.39/0.59 (step @p190 :rule refl :args (@t26)) % 0.39/0.59 (step @p191 :rule cong :premises (@p190 @p189) :args (@t27)) % 0.39/0.59 (step @p192 :rule cong :premises (@p191) :args (@t28)) % 0.39/0.59 (step @p193 :rule eq_resolve :premises (@p26 @p192)) % 0.39/0.59 (step @p194 :rule instantiate :premises (@p193) :args (@t102)) % 0.39/0.59 (step @p195 :rule cnf_equiv_pos1 :args (@t127)) % 0.39/0.59 (step @p196 :rule reordering :premises (@p195) :args ((or (not @t116) @t125 (not @t127)))) % 0.39/0.59 (step @p197 false :rule chain_m_resolution :premises (@p196 @p194 @p185 @p160) :args (false (@list false true false) (@list @t127 @t125 @t116))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------