%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG067+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:45:33 AM UTC 2026 % Result : Theorem 0.84s 1.06s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG067+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.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 14:06:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.84/1.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.84/1.06 % SZS status Theorem % 0.84/1.06 % SZS output start Proof % 0.84/1.06 ( % 0.84/1.06 (declare-sort $$unsorted 0) % 0.84/1.06 (declare-const tptp.xN $$unsorted) % 0.84/1.06 (declare-const tptp.xS $$unsorted) % 0.84/1.06 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.84/1.06 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.sz00 $$unsorted) % 0.84/1.06 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.84/1.06 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.xp $$unsorted) % 0.84/1.06 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.xG $$unsorted) % 0.84/1.06 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.xF $$unsorted) % 0.84/1.06 (declare-const tptp.sz0z00 $$unsorted) % 0.84/1.06 (declare-const tptp.xC $$unsorted) % 0.84/1.06 (declare-const tptp.xR $$unsorted) % 0.84/1.06 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.84/1.06 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.xs $$unsorted) % 0.84/1.06 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.xq $$unsorted) % 0.84/1.06 (declare-const tptp.xP $$unsorted) % 0.84/1.06 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.84/1.06 (declare-const tptp.xA $$unsorted) % 0.84/1.06 (declare-const tptp.xB $$unsorted) % 0.84/1.06 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.84/1.06 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.84/1.06 (declare-const tptp.xt $$unsorted) % 0.84/1.06 (declare-const tptp.xD $$unsorted) % 0.84/1.06 (declare-const tptp.xE $$unsorted) % 0.84/1.06 (declare-const tptp.xH $$unsorted) % 0.84/1.06 (define @t1 () (@var "W0" $$unsorted)) % 0.84/1.06 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.84/1.06 (define @t3 () (@list @t1)) % 0.84/1.06 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.84/1.06 (define @t5 () (@var "W1" $$unsorted)) % 0.84/1.06 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.84/1.06 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.84/1.06 (define @t8 () (@list @t5)) % 0.84/1.06 (define @t9 () (= @t1 @t5)) % 0.84/1.06 (define @t10 () (and @t2 @t7)) % 0.84/1.06 (define @t11 () (@list @t1 @t5)) % 0.84/1.06 (define @t12 () (tptp.aScalar0 @t1)) % 0.84/1.06 (define @t13 () (tptp.sdtpldt0 @t1 @t5)) % 0.84/1.06 (define @t14 () (tptp.aScalar0 @t13)) % 0.84/1.06 (define @t15 () (tptp.aScalar0 @t5)) % 0.84/1.06 (define @t16 () (and @t12 @t15)) % 0.84/1.06 (define @t17 () (forall @t11 (=> @t16 @t14))) % 0.84/1.06 (define @t18 () (tptp.sdtasdt0 @t1 @t5)) % 0.84/1.06 (define @t19 () (tptp.aScalar0 @t18)) % 0.84/1.06 (define @t20 () (forall @t11 (=> @t16 @t19))) % 0.84/1.06 (define @t21 () (tptp.smndt0 @t1)) % 0.84/1.06 (define @t22 () (@var "W2" $$unsorted)) % 0.84/1.06 (define @t23 () (tptp.sdtasdt0 @t5 @t22)) % 0.84/1.06 (define @t24 () (tptp.sdtpldt0 @t5 @t22)) % 0.84/1.06 (define @t25 () (tptp.aScalar0 @t22)) % 0.84/1.06 (define @t26 () (and @t12 @t15 @t25)) % 0.84/1.06 (define @t27 () (@list @t1 @t5 @t22)) % 0.84/1.06 (define @t28 () (tptp.sdtasdt0 @t1 @t22)) % 0.84/1.06 (define @t29 () (@var "W3" $$unsorted)) % 0.84/1.06 (define @t30 () (tptp.sdtasdt0 @t5 @t29)) % 0.84/1.06 (define @t31 () (tptp.aScalar0 @t29)) % 0.84/1.06 (define @t32 () (and @t12 @t15 @t25 @t31)) % 0.84/1.06 (define @t33 () (@list @t1 @t5 @t22 @t29)) % 0.84/1.06 (define @t34 () (tptp.smndt0 @t18)) % 0.84/1.06 (define @t35 () (tptp.smndt0 @t5)) % 0.84/1.06 (define @t36 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.84/1.06 (define @t37 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.84/1.06 (define @t38 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t22) (tptp.sdtpldt0 @t5 @t29))) % 0.84/1.06 (define @t39 () (tptp.sdtlseqdt0 @t22 @t29)) % 0.84/1.06 (define @t40 () (and @t36 @t39)) % 0.84/1.06 (define @t41 () (=> @t40 @t38)) % 0.84/1.06 (define @t42 () (forall @t33 (=> @t32 @t41))) % 0.84/1.06 (define @t43 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.84/1.06 (define @t44 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.84/1.06 (define @t45 () (tptp.sdtasdt0 @t1 @t1)) % 0.84/1.06 (define @t46 () (tptp.aVector0 @t1)) % 0.84/1.06 (define @t47 () (tptp.aDimensionOf0 @t1)) % 0.84/1.06 (define @t48 () (tptp.aDimensionOf0 @t5)) % 0.84/1.06 (define @t49 () (tptp.aVector0 @t5)) % 0.84/1.06 (define @t50 () (tptp.sziznziztdt0 @t1)) % 0.84/1.06 (define @t51 () (tptp.sziznziztdt0 @t5)) % 0.84/1.06 (define @t52 () (= @t48 tptp.sz00)) % 0.84/1.06 (define @t53 () (= @t47 @t48)) % 0.84/1.06 (define @t54 () (and @t53 (not @t52))) % 0.84/1.06 (define @t55 () (and @t46 @t49)) % 0.84/1.06 (define @t56 () (tptp.sdtasasdt0 @t1 @t5)) % 0.84/1.06 (define @t57 () (tptp.sdtasasdt0 @t1 @t1)) % 0.84/1.06 (define @t58 () (tptp.aDimensionOf0 tptp.xs)) % 0.84/1.06 (define @t59 () (tptp.aDimensionOf0 tptp.xt)) % 0.84/1.06 (define @t60 () (tptp.aScalar0 tptp.xR)) % 0.84/1.06 (define @t61 () (tptp.aScalar0 tptp.xP)) % 0.84/1.06 (define @t62 () (tptp.aScalar0 tptp.xS)) % 0.84/1.06 (define @t63 () (tptp.aScalar0 tptp.xN)) % 0.84/1.06 (define @t64 () (tptp.sdtasdt0 tptp.xP tptp.xP)) % 0.84/1.06 (define @t65 () (tptp.sdtlseqdt0 @t64 tptp.xN)) % 0.84/1.06 (define @t66 () (tptp.sdtasdt0 tptp.xS tptp.xS)) % 0.84/1.06 (define @t67 () (tptp.sdtasdt0 tptp.xR tptp.xR)) % 0.84/1.06 (define @t68 () (tptp.sdtpldt0 @t67 @t66)) % 0.84/1.06 (define @t69 () (tptp.sdtpldt0 @t64 @t64)) % 0.84/1.06 (define @t70 () (tptp.sdtlseqdt0 @t69 @t68)) % 0.84/1.06 (define @t71 () (tptp.sdtpldt0 @t68 tptp.xN)) % 0.84/1.06 (define @t72 () (tptp.sdtpldt0 @t69 @t64)) % 0.84/1.06 (define @t73 () (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t72 @t64) (tptp.sdtpldt0 @t71 tptp.xN))) % 0.84/1.06 (define @t74 () (not @t39)) % 0.84/1.06 (define @t75 () (not @t36)) % 0.84/1.06 (define @t76 () (not @t31)) % 0.84/1.06 (define @t77 () (not @t25)) % 0.84/1.06 (define @t78 () (not @t15)) % 0.84/1.06 (define @t79 () (not @t12)) % 0.84/1.06 (define @t80 () (or @t79 @t78 @t77 @t76 @t75 @t74 @t38)) % 0.84/1.06 (define @t81 () (or @t75 @t74 @t38)) % 0.84/1.06 (define @t82 () (or @t79 @t78 @t77 @t76)) % 0.84/1.06 (define @t83 () (or @t79 @t78)) % 0.84/1.06 (define @t84 () (not @t16)) % 0.84/1.06 (define @t85 () (tptp.aScalar0 @t66)) % 0.84/1.06 (define @t86 () (not @t62)) % 0.84/1.06 (define @t87 () (or @t86 @t86 @t85)) % 0.84/1.06 (define @t88 () (@list false false)) % 0.84/1.06 (define @t89 () (tptp.aScalar0 @t67)) % 0.84/1.06 (define @t90 () (not @t60)) % 0.84/1.06 (define @t91 () (or @t90 @t90 @t89)) % 0.84/1.06 (define @t92 () (tptp.aScalar0 @t68)) % 0.84/1.06 (define @t93 () (not @t85)) % 0.84/1.06 (define @t94 () (not @t89)) % 0.84/1.06 (define @t95 () (or @t94 @t93 @t92)) % 0.84/1.06 (define @t96 () (@list false false false)) % 0.84/1.06 (define @t97 () (tptp.aScalar0 @t71)) % 0.84/1.06 (define @t98 () (not @t63)) % 0.84/1.06 (define @t99 () (not @t92)) % 0.84/1.06 (define @t100 () (or @t99 @t98 @t97)) % 0.84/1.06 (define @t101 () (tptp.aScalar0 @t64)) % 0.84/1.06 (define @t102 () (not @t61)) % 0.84/1.06 (define @t103 () (or @t102 @t102 @t101)) % 0.84/1.06 (define @t104 () (tptp.aScalar0 @t69)) % 0.84/1.06 (define @t105 () (not @t101)) % 0.84/1.06 (define @t106 () (or @t105 @t105 @t104)) % 0.84/1.06 (define @t107 () (tptp.aScalar0 @t72)) % 0.84/1.06 (define @t108 () (not @t104)) % 0.84/1.06 (define @t109 () (or @t108 @t105 @t107)) % 0.84/1.06 (define @t110 () (not @t65)) % 0.84/1.06 (define @t111 () (tptp.sdtlseqdt0 @t72 @t71)) % 0.84/1.06 (define @t112 () (not @t111)) % 0.84/1.06 (define @t113 () (not @t97)) % 0.84/1.06 (define @t114 () (not @t107)) % 0.84/1.06 (define @t115 () (or @t114 @t113 @t105 @t98 @t112 @t110 @t73)) % 0.84/1.06 (define @t116 () (not @t70)) % 0.84/1.06 (define @t117 () (or @t108 @t99 @t105 @t98 @t116 @t110 @t111)) % 0.84/1.06 (define @t118 () (not @t117)) % 0.84/1.06 (define @t119 () (forall @t33 @t80)) % 0.84/1.06 (assume @p1 (forall @t3 (=> @t2 true))) % 0.84/1.06 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.84/1.06 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.84/1.06 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.84/1.06 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.84/1.06 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.84/1.06 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.84/1.06 (assume @p8 (forall @t3 (=> @t12 true))) % 0.84/1.06 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.84/1.06 (assume @p10 @t17) % 0.84/1.06 (assume @p11 @t20) % 0.84/1.06 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t21)))) % 0.84/1.06 (assume @p13 (forall @t3 (=> @t12 (and (= (tptp.sdtpldt0 @t1 tptp.sz0z00) @t1) (= (tptp.sdtpldt0 tptp.sz0z00 @t1) @t1) (= (tptp.sdtasdt0 @t1 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 @t1) tptp.sz0z00) (= (tptp.sdtpldt0 @t1 @t21) tptp.sz0z00) (= (tptp.sdtpldt0 @t21 @t1) tptp.sz0z00) (= (tptp.smndt0 @t21) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) % 0.84/1.06 (assume @p14 (forall @t27 (=> @t26 (and (= (tptp.sdtpldt0 @t13 @t22) (tptp.sdtpldt0 @t1 @t24)) (= @t13 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t18 @t22) (tptp.sdtasdt0 @t1 @t23)) (= @t18 (tptp.sdtasdt0 @t5 @t1)))))) % 0.84/1.06 (assume @p15 (forall @t27 (=> @t26 (and (= (tptp.sdtasdt0 @t1 @t24) (tptp.sdtpldt0 @t18 @t28)) (= (tptp.sdtasdt0 @t13 @t22) (tptp.sdtpldt0 @t28 @t23)))))) % 0.84/1.06 (assume @p16 (forall @t33 (=> @t32 (= (tptp.sdtasdt0 @t13 (tptp.sdtpldt0 @t22 @t29)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t28 (tptp.sdtasdt0 @t1 @t29)) (tptp.sdtpldt0 @t23 @t30)))))) % 0.84/1.06 (assume @p17 (forall @t11 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t35) @t34) (= (tptp.sdtasdt0 @t21 @t5) @t34))))) % 0.84/1.06 (assume @p18 (forall @t11 (=> @t16 (= (tptp.sdtasdt0 @t21 @t35) @t18)))) % 0.84/1.06 (assume @p19 (forall @t11 (=> @t16 (=> @t36 true)))) % 0.84/1.06 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.84/1.06 (assume @p21 (forall @t11 (=> @t16 (=> (and @t36 @t37) @t9)))) % 0.84/1.06 (assume @p22 (forall @t27 (=> @t26 (=> (and @t36 (tptp.sdtlseqdt0 @t5 @t22)) (tptp.sdtlseqdt0 @t1 @t22))))) % 0.84/1.06 (assume @p23 @t42) % 0.84/1.06 (assume @p24 (forall @t33 (=> @t32 (=> (and @t36 (tptp.sdtlseqdt0 tptp.sz0z00 @t22) @t39) (tptp.sdtlseqdt0 @t28 @t30))))) % 0.84/1.06 (assume @p25 (forall @t11 (=> @t16 (or @t36 @t37)))) % 0.84/1.06 (assume @p26 (forall @t11 (=> @t16 (=> (and @t44 @t43) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t13) (tptp.sdtlseqdt0 tptp.sz0z00 @t18)))))) % 0.84/1.06 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t45)))) % 0.84/1.06 (assume @p28 (forall @t11 (=> @t16 (=> (and @t44 @t43 (= @t45 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.84/1.06 (assume @p29 (forall @t3 (=> @t46 true))) % 0.84/1.06 (assume @p30 (forall @t3 (=> @t46 (tptp.aNaturalNumber0 @t47)))) % 0.84/1.06 (assume @p31 (forall @t11 (=> (and @t46 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.84/1.06 (assume @p32 (forall @t3 (=> @t46 (=> (not (= @t47 tptp.sz00)) (forall @t8 (= (= @t5 @t50) (and @t49 (= (tptp.szszuzczcdt0 @t48) @t47) (forall (@list @t22) (=> (tptp.aNaturalNumber0 @t22) (= (tptp.sdtlbdtrb0 @t5 @t22) (tptp.sdtlbdtrb0 @t1 @t22))))))))))) % 0.84/1.06 (assume @p33 (forall @t11 (=> @t55 (=> @t54 (= (tptp.aDimensionOf0 @t50) (tptp.aDimensionOf0 @t51)))))) % 0.84/1.06 (assume @p34 (forall @t11 (=> @t55 (=> @t53 (tptp.aScalar0 @t56))))) % 0.84/1.06 (assume @p35 (forall @t11 (=> @t55 (=> (and @t53 @t52) (= @t56 tptp.sz0z00))))) % 0.84/1.06 (assume @p36 (forall @t11 (=> @t55 (=> @t54 (= @t56 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t50 @t51) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t47) (tptp.sdtlbdtrb0 @t5 @t48)))))))) % 0.84/1.06 (assume @p37 (forall @t3 (=> @t46 (tptp.sdtlseqdt0 tptp.sz0z00 @t57)))) % 0.84/1.06 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 0.84/1.06 (assume @p39 (forall @t11 (=> @t55 (=> @t53 (=> (tptp.iLess0 @t47 @t58) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t56 @t56) (tptp.sdtasdt0 @t57 (tptp.sdtasasdt0 @t5 @t5)))))))) % 0.84/1.06 (assume @p40 (= @t58 @t59)) % 0.84/1.06 (assume @p41 (not (= @t58 tptp.sz00))) % 0.84/1.06 (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t58) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp (tptp.sziznziztdt0 tptp.xs)))) % 0.84/1.06 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t59) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq (tptp.sziznziztdt0 tptp.xt)))) % 0.84/1.06 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t58)))) % 0.84/1.06 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t59)))) % 0.84/1.06 (assume @p46 (and (tptp.aScalar0 tptp.xC) (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) % 0.84/1.06 (assume @p47 (and (tptp.aScalar0 tptp.xD) (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) % 0.84/1.06 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 0.84/1.06 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) % 0.84/1.06 (assume @p50 (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) % 0.84/1.06 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 0.84/1.06 (assume @p52 (and @t60 (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) % 0.84/1.06 (assume @p53 (and @t61 (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 0.84/1.06 (assume @p54 (and @t62 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 0.84/1.06 (assume @p55 (and @t63 (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) % 0.84/1.06 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 0.84/1.06 (assume @p57 @t65) % 0.84/1.06 (assume @p58 @t70) % 0.84/1.06 (assume @p59 (not @t73)) % 0.84/1.06 (assume @p60 true) % 0.84/1.06 (step @p61 :rule aci_norm :args ((= (or @t82 @t81) @t80))) % 0.84/1.06 (step @p62 :rule aci_norm :args ((= (or (or @t75 @t74) @t38) @t81))) % 0.84/1.06 (step @p63 :rule refl :args (@t38)) % 0.84/1.06 (step @p64 :rule bool-and-de-morgan :args (@t36 @t39 true)) % 0.84/1.06 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t40) @t38))) % 0.84/1.06 (step @p66 :rule trans :premises (@p65 @p62)) % 0.84/1.06 (step @p67 :rule bool-impl-elim :args (@t40 @t38)) % 0.84/1.06 (step @p68 :rule trans :premises (@p67 @p66)) % 0.84/1.06 (step @p69 :rule aci_norm :args ((= (or @t79 (or @t78 (or @t77 @t76))) @t82))) % 0.84/1.06 (step @p70 :rule bool-and-de-morgan :args (@t25 @t31 true)) % 0.84/1.06 (step @p71 :rule refl :args (@t78)) % 0.84/1.06 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t78 (not (and @t25 @t31))))) % 0.84/1.06 (step @p73 :rule bool-and-de-morgan :args (@t15 @t25 (and @t31))) % 0.84/1.06 (step @p74 :rule trans :premises (@p73 @p72)) % 0.84/1.06 (step @p75 :rule refl :args (@t79)) % 0.84/1.06 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t79 (not (and @t15 @t25 @t31))))) % 0.84/1.06 (step @p77 :rule bool-and-de-morgan :args (@t12 @t15 (and @t25 @t31))) % 0.84/1.06 (step @p78 :rule trans :premises (@p77 @p76)) % 0.84/1.06 (step @p79 :rule trans :premises (@p78 @p69)) % 0.84/1.06 (step @p80 :rule nary_cong :premises (@p79 @p68) :args ((or (not @t32) @t41))) % 0.84/1.06 (step @p81 :rule trans :premises (@p80 @p61)) % 0.84/1.06 (step @p82 :rule bool-impl-elim :args (@t32 @t41)) % 0.84/1.06 (step @p83 :rule trans :premises (@p82 @p81)) % 0.84/1.06 (step @p84 :rule cong :premises (@p83) :args (@t42)) % 0.84/1.06 (step @p85 :rule eq_resolve :premises (@p23 @p84)) % 0.84/1.06 (step @p86 :rule instantiate :premises (@p85) :args ((@list @t72 @t71 @t64 tptp.xN))) % 0.84/1.06 (step @p87 :rule aci_norm :args ((= (or @t83 @t14) (or @t79 @t78 @t14)))) % 0.84/1.06 (step @p88 :rule refl :args (@t14)) % 0.84/1.06 (step @p89 :rule bool-and-de-morgan :args (@t12 @t15 true)) % 0.84/1.06 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t84 @t14))) % 0.84/1.06 (step @p91 :rule trans :premises (@p90 @p87)) % 0.84/1.06 (step @p92 :rule bool-impl-elim :args (@t16 @t14)) % 0.84/1.06 (step @p93 :rule trans :premises (@p92 @p91)) % 0.84/1.06 (step @p94 :rule cong :premises (@p93) :args (@t17)) % 0.84/1.06 (step @p95 :rule eq_resolve :premises (@p10 @p94)) % 0.84/1.06 (step @p96 :rule instantiate :premises (@p95) :args ((@list @t68 tptp.xN))) % 0.84/1.06 (step @p97 :rule instantiate :premises (@p95) :args ((@list @t67 @t66))) % 0.84/1.06 (step @p98 :rule aci_norm :args ((= (or @t83 @t19) (or @t79 @t78 @t19)))) % 0.84/1.06 (step @p99 :rule refl :args (@t19)) % 0.84/1.06 (step @p100 :rule nary_cong :premises (@p89 @p99) :args ((or @t84 @t19))) % 0.84/1.06 (step @p101 :rule trans :premises (@p100 @p98)) % 0.84/1.06 (step @p102 :rule bool-impl-elim :args (@t16 @t19)) % 0.84/1.06 (step @p103 :rule trans :premises (@p102 @p101)) % 0.84/1.06 (step @p104 :rule cong :premises (@p103) :args (@t20)) % 0.84/1.06 (step @p105 :rule eq_resolve :premises (@p11 @p104)) % 0.84/1.06 (step @p106 :rule instantiate :premises (@p105) :args ((@list tptp.xS tptp.xS))) % 0.84/1.06 (step @p107 :rule and_elim :premises (@p54) :args (0)) % 0.84/1.06 (step @p108 :rule cnf_or_pos :args (@t87)) % 0.84/1.06 (step @p109 :rule factoring :premises (@p108)) % 0.84/1.06 (step @p110 :rule reordering :premises (@p109) :args ((or @t86 @t85 (not @t87)))) % 0.84/1.06 (step @p111 :rule chain_m_resolution :premises (@p110 @p107 @p106) :args (@t85 @t88 (@list @t62 @t87))) % 0.84/1.06 (step @p112 :rule instantiate :premises (@p105) :args ((@list tptp.xR tptp.xR))) % 0.84/1.06 (step @p113 :rule and_elim :premises (@p52) :args (0)) % 0.84/1.06 (step @p114 :rule cnf_or_pos :args (@t91)) % 0.84/1.06 (step @p115 :rule factoring :premises (@p114)) % 0.84/1.06 (step @p116 :rule reordering :premises (@p115) :args ((or @t90 @t89 (not @t91)))) % 0.84/1.06 (step @p117 :rule chain_m_resolution :premises (@p116 @p113 @p112) :args (@t89 @t88 (@list @t60 @t91))) % 0.84/1.06 (step @p118 :rule cnf_or_pos :args (@t95)) % 0.84/1.06 (step @p119 :rule reordering :premises (@p118) :args ((or @t94 @t93 @t92 (not @t95)))) % 0.84/1.06 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p111 @p97) :args (@t92 @t96 (@list @t89 @t85 @t95))) % 0.84/1.06 (step @p121 :rule and_elim :premises (@p55) :args (0)) % 0.84/1.06 (step @p122 :rule cnf_or_pos :args (@t100)) % 0.84/1.06 (step @p123 :rule reordering :premises (@p122) :args ((or @t98 @t99 @t97 (not @t100)))) % 0.84/1.06 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p120 @p96) :args (@t97 @t96 (@list @t63 @t92 @t100))) % 0.84/1.06 (step @p125 :rule instantiate :premises (@p95) :args ((@list @t69 @t64))) % 0.84/1.06 (step @p126 :rule instantiate :premises (@p95) :args ((@list @t64 @t64))) % 0.84/1.06 (step @p127 :rule instantiate :premises (@p105) :args ((@list tptp.xP tptp.xP))) % 0.84/1.06 (step @p128 :rule and_elim :premises (@p53) :args (0)) % 0.84/1.06 (step @p129 :rule cnf_or_pos :args (@t103)) % 0.84/1.06 (step @p130 :rule factoring :premises (@p129)) % 0.84/1.06 (step @p131 :rule reordering :premises (@p130) :args ((or @t102 @t101 (not @t103)))) % 0.84/1.06 (step @p132 :rule chain_m_resolution :premises (@p131 @p128 @p127) :args (@t101 @t88 (@list @t61 @t103))) % 0.84/1.06 (step @p133 :rule cnf_or_pos :args (@t106)) % 0.84/1.06 (step @p134 :rule factoring :premises (@p133)) % 0.84/1.06 (step @p135 :rule reordering :premises (@p134) :args ((or @t105 @t104 (not @t106)))) % 0.84/1.07 (step @p136 :rule chain_m_resolution :premises (@p135 @p132 @p126) :args (@t104 @t88 (@list @t101 @t106))) % 0.84/1.07 (step @p137 :rule cnf_or_pos :args (@t109)) % 0.84/1.07 (step @p138 :rule reordering :premises (@p137) :args ((or @t105 @t108 @t107 (not @t109)))) % 0.84/1.07 (step @p139 :rule chain_m_resolution :premises (@p138 @p132 @p136 @p125) :args (@t107 @t96 (@list @t101 @t104 @t109))) % 0.84/1.07 (step @p140 :rule cnf_or_pos :args (@t115)) % 0.84/1.07 (step @p141 :rule reordering :premises (@p140) :args ((or @t73 @t98 @t110 @t105 @t114 @t113 @t112 (not @t115)))) % 0.84/1.07 (step @p142 :rule chain_m_resolution :premises (@p141 @p59 @p121 @p57 @p132 @p139 @p124 @p86) :args (@t112 (@list true false false false false false false) (@list @t73 @t63 @t65 @t101 @t107 @t97 @t115))) % 0.84/1.07 (step @p143 :rule cnf_or_pos :args (@t117)) % 0.84/1.07 (step @p144 :rule reordering :premises (@p143) :args ((or @t98 @t110 @t116 @t105 @t108 @t99 @t111 @t118))) % 0.84/1.07 (step @p145 :rule chain_m_resolution :premises (@p144 @p121 @p57 @p58 @p132 @p136 @p120 @p142) :args (@t118 (@list false false false false false false true) (@list @t63 @t65 @t70 @t101 @t104 @t92 @t111))) % 0.84/1.07 (assume-push @p152 @t119) % 0.84/1.07 (step @p147 :rule instantiate :premises (@p85) :args ((@list @t69 @t68 @t64 tptp.xN))) % 0.84/1.07 (step-pop @p153 :rule scope :premises (@p147)) % 0.84/1.07 (step @p148 :rule process_scope :premises (@p153) :args (@t117)) % 0.84/1.07 (step @p150 :rule implies_elim :premises (@p148)) % 0.84/1.07 (step @p151 false :rule chain_m_resolution :premises (@p150 @p145 @p85) :args (false (@list true false) (@list @t117 @t119))) % 0.84/1.07 ) % 0.84/1.07 % SZS output end Proof % 0.84/1.07 % cvc5 exiting %------------------------------------------------------------------------------