%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG062+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 : n004.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 08:45:32 AM UTC 2026 % Result : Theorem 0.94s 1.17s % Output : Proof 0.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG062+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 : n004.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:05:07 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.94/1.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.94/1.17 % SZS status Theorem % 0.94/1.17 % SZS output start Proof % 0.94/1.17 ( % 0.94/1.17 (declare-sort $$unsorted 0) % 0.94/1.17 (declare-const tptp.xN $$unsorted) % 0.94/1.17 (declare-const tptp.xS $$unsorted) % 0.94/1.17 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.94/1.17 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.94/1.17 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.94/1.17 (declare-const tptp.sz00 $$unsorted) % 0.94/1.17 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.94/1.17 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.17 (declare-const tptp.xp $$unsorted) % 0.94/1.17 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.17 (declare-const tptp.xG $$unsorted) % 0.94/1.17 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.17 (declare-const tptp.xF $$unsorted) % 0.94/1.17 (declare-const tptp.sz0z00 $$unsorted) % 0.94/1.17 (declare-const tptp.xC $$unsorted) % 0.94/1.17 (declare-const tptp.xR $$unsorted) % 0.94/1.17 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.94/1.17 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.17 (declare-const tptp.xs $$unsorted) % 0.94/1.17 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.94/1.17 (declare-const tptp.xq $$unsorted) % 0.94/1.17 (declare-const tptp.xP $$unsorted) % 0.94/1.17 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.94/1.17 (declare-const tptp.xA $$unsorted) % 0.94/1.17 (declare-const tptp.xB $$unsorted) % 0.94/1.17 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.94/1.17 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.94/1.17 (declare-const tptp.xt $$unsorted) % 0.94/1.17 (declare-const tptp.xD $$unsorted) % 0.94/1.17 (declare-const tptp.xE $$unsorted) % 0.94/1.17 (declare-const tptp.xH $$unsorted) % 0.94/1.17 (define @t1 () (@var "W0" $$unsorted)) % 0.94/1.17 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.94/1.17 (define @t3 () (@list @t1)) % 0.94/1.17 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.94/1.17 (define @t5 () (@var "W1" $$unsorted)) % 0.94/1.17 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.94/1.17 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.94/1.17 (define @t8 () (@list @t5)) % 0.94/1.17 (define @t9 () (= @t1 @t5)) % 0.94/1.17 (define @t10 () (and @t2 @t7)) % 0.94/1.17 (define @t11 () (@list @t1 @t5)) % 0.94/1.17 (define @t12 () (tptp.aScalar0 @t1)) % 0.94/1.17 (define @t13 () (tptp.sdtpldt0 @t1 @t5)) % 0.94/1.17 (define @t14 () (tptp.aScalar0 @t13)) % 0.94/1.17 (define @t15 () (tptp.aScalar0 @t5)) % 0.94/1.17 (define @t16 () (and @t12 @t15)) % 0.94/1.17 (define @t17 () (forall @t11 (=> @t16 @t14))) % 0.94/1.17 (define @t18 () (tptp.sdtasdt0 @t1 @t5)) % 0.94/1.17 (define @t19 () (tptp.aScalar0 @t18)) % 0.94/1.17 (define @t20 () (forall @t11 (=> @t16 @t19))) % 0.94/1.17 (define @t21 () (tptp.smndt0 @t1)) % 0.94/1.17 (define @t22 () (tptp.aScalar0 @t21)) % 0.94/1.17 (define @t23 () (forall @t3 (=> @t12 @t22))) % 0.94/1.17 (define @t24 () (@var "W2" $$unsorted)) % 0.94/1.17 (define @t25 () (tptp.sdtasdt0 @t5 @t24)) % 0.94/1.17 (define @t26 () (tptp.sdtpldt0 @t5 @t24)) % 0.94/1.17 (define @t27 () (and (= (tptp.sdtpldt0 @t13 @t24) (tptp.sdtpldt0 @t1 @t26)) (= @t13 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t18 @t24) (tptp.sdtasdt0 @t1 @t25)) (= @t18 (tptp.sdtasdt0 @t5 @t1)))) % 0.94/1.17 (define @t28 () (tptp.aScalar0 @t24)) % 0.94/1.17 (define @t29 () (and @t12 @t15 @t28)) % 0.94/1.17 (define @t30 () (@list @t1 @t5 @t24)) % 0.94/1.17 (define @t31 () (forall @t30 (=> @t29 @t27))) % 0.94/1.17 (define @t32 () (tptp.sdtasdt0 @t1 @t24)) % 0.94/1.17 (define @t33 () (@var "W3" $$unsorted)) % 0.94/1.17 (define @t34 () (tptp.sdtasdt0 @t5 @t33)) % 0.94/1.17 (define @t35 () (and @t12 @t15 @t28 (tptp.aScalar0 @t33))) % 0.94/1.17 (define @t36 () (@list @t1 @t5 @t24 @t33)) % 0.94/1.17 (define @t37 () (tptp.smndt0 @t18)) % 0.94/1.17 (define @t38 () (tptp.smndt0 @t5)) % 0.94/1.17 (define @t39 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.94/1.17 (define @t40 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.94/1.17 (define @t41 () (tptp.sdtlseqdt0 @t24 @t33)) % 0.94/1.17 (define @t42 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.94/1.17 (define @t43 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.94/1.17 (define @t44 () (tptp.sdtasdt0 @t1 @t1)) % 0.94/1.17 (define @t45 () (tptp.aVector0 @t1)) % 0.94/1.17 (define @t46 () (tptp.aDimensionOf0 @t1)) % 0.94/1.17 (define @t47 () (tptp.aDimensionOf0 @t5)) % 0.94/1.17 (define @t48 () (tptp.aVector0 @t5)) % 0.94/1.17 (define @t49 () (tptp.sziznziztdt0 @t1)) % 0.94/1.17 (define @t50 () (tptp.sziznziztdt0 @t5)) % 0.94/1.17 (define @t51 () (= @t47 tptp.sz00)) % 0.94/1.17 (define @t52 () (= @t46 @t47)) % 0.94/1.17 (define @t53 () (and @t52 (not @t51))) % 0.94/1.17 (define @t54 () (and @t45 @t48)) % 0.94/1.17 (define @t55 () (tptp.sdtasasdt0 @t1 @t5)) % 0.94/1.17 (define @t56 () (tptp.sdtasasdt0 @t1 @t1)) % 0.94/1.17 (define @t57 () (tptp.aDimensionOf0 tptp.xs)) % 0.94/1.17 (define @t58 () (tptp.aDimensionOf0 tptp.xt)) % 0.94/1.17 (define @t59 () (tptp.aScalar0 tptp.xR)) % 0.94/1.17 (define @t60 () (tptp.aScalar0 tptp.xS)) % 0.94/1.17 (define @t61 () (tptp.aScalar0 tptp.xN)) % 0.94/1.17 (define @t62 () (tptp.sdtasdt0 tptp.xS tptp.xS)) % 0.94/1.17 (define @t63 () (tptp.smndt0 tptp.xS)) % 0.94/1.17 (define @t64 () (tptp.smndt0 tptp.xN)) % 0.94/1.17 (define @t65 () (tptp.sdtasdt0 tptp.xR tptp.xR)) % 0.94/1.17 (define @t66 () (tptp.sdtpldt0 @t65 @t64)) % 0.94/1.17 (define @t67 () (tptp.sdtpldt0 tptp.xR @t63)) % 0.94/1.17 (define @t68 () (tptp.sdtasdt0 @t67 @t67)) % 0.94/1.17 (define @t69 () (tptp.sdtpldt0 @t62 @t64)) % 0.94/1.17 (define @t70 () (tptp.sdtpldt0 @t66 @t69)) % 0.94/1.17 (define @t71 () (= @t68 @t70)) % 0.94/1.17 (define @t72 () (tptp.sdtpldt0 @t65 @t62)) % 0.94/1.17 (define @t73 () (tptp.sdtpldt0 @t72 @t64)) % 0.94/1.17 (define @t74 () (= @t68 (tptp.sdtpldt0 @t73 @t64))) % 0.94/1.17 (define @t75 () (not @t28)) % 0.94/1.17 (define @t76 () (not @t15)) % 0.94/1.17 (define @t77 () (not @t12)) % 0.94/1.17 (define @t78 () (or @t77 @t76 @t75 @t27)) % 0.94/1.17 (define @t79 () (or @t77 @t76 @t75)) % 0.94/1.17 (define @t80 () (or @t77 @t76)) % 0.94/1.17 (define @t81 () (not @t16)) % 0.94/1.17 (define @t82 () (tptp.aScalar0 @t65)) % 0.94/1.17 (define @t83 () (not @t59)) % 0.94/1.17 (define @t84 () (or @t83 @t83 @t82)) % 0.94/1.17 (define @t85 () (@list false false)) % 0.94/1.17 (define @t86 () (tptp.aScalar0 @t62)) % 0.94/1.17 (define @t87 () (not @t60)) % 0.94/1.17 (define @t88 () (or @t87 @t87 @t86)) % 0.94/1.17 (define @t89 () (tptp.aScalar0 @t64)) % 0.94/1.17 (define @t90 () (not @t61)) % 0.94/1.17 (define @t91 () (or @t90 @t89)) % 0.94/1.17 (define @t92 () (tptp.sdtasdt0 @t62 @t65)) % 0.94/1.17 (define @t93 () (tptp.sdtasdt0 @t65 @t62)) % 0.94/1.17 (define @t94 () (= @t93 @t92)) % 0.94/1.17 (define @t95 () (tptp.sdtasdt0 @t62 @t64)) % 0.94/1.17 (define @t96 () (tptp.sdtpldt0 @t62 @t65)) % 0.94/1.17 (define @t97 () (= @t72 @t96)) % 0.94/1.17 (define @t98 () (and (= @t73 (tptp.sdtpldt0 @t65 @t69)) @t97 (= (tptp.sdtasdt0 @t93 @t64) (tptp.sdtasdt0 @t65 @t95)) @t94)) % 0.94/1.17 (define @t99 () (not @t89)) % 0.94/1.17 (define @t100 () (not @t86)) % 0.94/1.17 (define @t101 () (not @t82)) % 0.94/1.17 (define @t102 () (or @t101 @t100 @t99 @t98)) % 0.94/1.17 (define @t103 () (@list false false false false)) % 0.94/1.17 (define @t104 () (@list false)) % 0.94/1.17 (define @t105 () (tptp.sdtasdt0 @t66 @t62)) % 0.94/1.17 (define @t106 () (= @t105 (tptp.sdtasdt0 @t62 @t66))) % 0.94/1.17 (define @t107 () (= (tptp.sdtasdt0 @t105 @t64) (tptp.sdtasdt0 @t66 @t95))) % 0.94/1.17 (define @t108 () (tptp.sdtpldt0 @t62 @t66)) % 0.94/1.17 (define @t109 () (tptp.sdtpldt0 @t66 @t62)) % 0.94/1.17 (define @t110 () (= @t109 @t108)) % 0.94/1.17 (define @t111 () (tptp.sdtpldt0 @t109 @t64)) % 0.94/1.17 (define @t112 () (and (= @t111 @t70) @t110 @t107 @t106)) % 0.94/1.17 (define @t113 () (tptp.aScalar0 @t66)) % 0.94/1.17 (define @t114 () (not @t113)) % 0.94/1.17 (define @t115 () (or @t114 @t100 @t99 @t112)) % 0.94/1.17 (define @t116 () (forall @t30 @t78)) % 0.94/1.17 (define @t117 () (= @t70 @t111)) % 0.94/1.17 (define @t118 () (and @t117 @t110 @t107 @t106)) % 0.94/1.17 (define @t119 () (or @t114 @t100 @t99 @t118)) % 0.94/1.17 (define @t120 () (@list @t116)) % 0.94/1.17 (define @t121 () (or @t101 @t99 @t113)) % 0.94/1.17 (define @t122 () (not @t118)) % 0.94/1.17 (define @t123 () (@list @t118)) % 0.94/1.17 (define @t124 () (= (tptp.sdtasdt0 @t92 @t64) (tptp.sdtasdt0 @t62 (tptp.sdtasdt0 @t65 @t64)))) % 0.94/1.17 (define @t125 () (tptp.sdtpldt0 @t96 @t64)) % 0.94/1.17 (define @t126 () (and (= @t125 @t108) (= @t96 @t72) @t124 (= @t92 @t93))) % 0.94/1.17 (define @t127 () (or @t100 @t101 @t99 @t126)) % 0.94/1.17 (define @t128 () (= @t108 @t125)) % 0.94/1.17 (define @t129 () (and @t128 @t97 @t124 @t94)) % 0.94/1.17 (define @t130 () (or @t100 @t101 @t99 @t129)) % 0.94/1.17 (define @t131 () (and @t71 @t97 @t110 @t117 @t128)) % 0.94/1.17 (assume @p1 (forall @t3 (=> @t2 true))) % 0.94/1.17 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.94/1.17 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.94/1.17 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.94/1.17 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.94/1.17 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.94/1.17 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.94/1.17 (assume @p8 (forall @t3 (=> @t12 true))) % 0.94/1.17 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.94/1.17 (assume @p10 @t17) % 0.94/1.17 (assume @p11 @t20) % 0.94/1.17 (assume @p12 @t23) % 0.94/1.17 (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))))) % 0.94/1.17 (assume @p14 @t31) % 0.94/1.17 (assume @p15 (forall @t30 (=> @t29 (and (= (tptp.sdtasdt0 @t1 @t26) (tptp.sdtpldt0 @t18 @t32)) (= (tptp.sdtasdt0 @t13 @t24) (tptp.sdtpldt0 @t32 @t25)))))) % 0.94/1.17 (assume @p16 (forall @t36 (=> @t35 (= (tptp.sdtasdt0 @t13 (tptp.sdtpldt0 @t24 @t33)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t32 (tptp.sdtasdt0 @t1 @t33)) (tptp.sdtpldt0 @t25 @t34)))))) % 0.94/1.17 (assume @p17 (forall @t11 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t38) @t37) (= (tptp.sdtasdt0 @t21 @t5) @t37))))) % 0.94/1.17 (assume @p18 (forall @t11 (=> @t16 (= (tptp.sdtasdt0 @t21 @t38) @t18)))) % 0.94/1.17 (assume @p19 (forall @t11 (=> @t16 (=> @t39 true)))) % 0.94/1.17 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.94/1.17 (assume @p21 (forall @t11 (=> @t16 (=> (and @t39 @t40) @t9)))) % 0.94/1.17 (assume @p22 (forall @t30 (=> @t29 (=> (and @t39 (tptp.sdtlseqdt0 @t5 @t24)) (tptp.sdtlseqdt0 @t1 @t24))))) % 0.94/1.17 (assume @p23 (forall @t36 (=> @t35 (=> (and @t39 @t41) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t24) (tptp.sdtpldt0 @t5 @t33)))))) % 0.94/1.17 (assume @p24 (forall @t36 (=> @t35 (=> (and @t39 (tptp.sdtlseqdt0 tptp.sz0z00 @t24) @t41) (tptp.sdtlseqdt0 @t32 @t34))))) % 0.94/1.17 (assume @p25 (forall @t11 (=> @t16 (or @t39 @t40)))) % 0.94/1.17 (assume @p26 (forall @t11 (=> @t16 (=> (and @t43 @t42) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t13) (tptp.sdtlseqdt0 tptp.sz0z00 @t18)))))) % 0.94/1.17 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t44)))) % 0.94/1.17 (assume @p28 (forall @t11 (=> @t16 (=> (and @t43 @t42 (= @t44 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.94/1.17 (assume @p29 (forall @t3 (=> @t45 true))) % 0.94/1.17 (assume @p30 (forall @t3 (=> @t45 (tptp.aNaturalNumber0 @t46)))) % 0.94/1.17 (assume @p31 (forall @t11 (=> (and @t45 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.94/1.17 (assume @p32 (forall @t3 (=> @t45 (=> (not (= @t46 tptp.sz00)) (forall @t8 (= (= @t5 @t49) (and @t48 (= (tptp.szszuzczcdt0 @t47) @t46) (forall (@list @t24) (=> (tptp.aNaturalNumber0 @t24) (= (tptp.sdtlbdtrb0 @t5 @t24) (tptp.sdtlbdtrb0 @t1 @t24))))))))))) % 0.94/1.17 (assume @p33 (forall @t11 (=> @t54 (=> @t53 (= (tptp.aDimensionOf0 @t49) (tptp.aDimensionOf0 @t50)))))) % 0.94/1.17 (assume @p34 (forall @t11 (=> @t54 (=> @t52 (tptp.aScalar0 @t55))))) % 0.94/1.17 (assume @p35 (forall @t11 (=> @t54 (=> (and @t52 @t51) (= @t55 tptp.sz0z00))))) % 0.94/1.17 (assume @p36 (forall @t11 (=> @t54 (=> @t53 (= @t55 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t49 @t50) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t46) (tptp.sdtlbdtrb0 @t5 @t47)))))))) % 0.94/1.17 (assume @p37 (forall @t3 (=> @t45 (tptp.sdtlseqdt0 tptp.sz0z00 @t56)))) % 0.94/1.17 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 0.94/1.17 (assume @p39 (forall @t11 (=> @t54 (=> @t52 (=> (tptp.iLess0 @t46 @t57) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t55 @t55) (tptp.sdtasdt0 @t56 (tptp.sdtasasdt0 @t5 @t5)))))))) % 0.94/1.17 (assume @p40 (= @t57 @t58)) % 0.94/1.17 (assume @p41 (not (= @t57 tptp.sz00))) % 0.94/1.17 (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t57) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp (tptp.sziznziztdt0 tptp.xs)))) % 0.94/1.17 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t58) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq (tptp.sziznziztdt0 tptp.xt)))) % 0.94/1.17 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t57)))) % 0.94/1.17 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t58)))) % 0.94/1.17 (assume @p46 (and (tptp.aScalar0 tptp.xC) (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) % 0.94/1.17 (assume @p47 (and (tptp.aScalar0 tptp.xD) (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) % 0.94/1.17 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 0.94/1.17 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) % 0.94/1.17 (assume @p50 (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) % 0.94/1.17 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 0.94/1.17 (assume @p52 (and @t59 (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) % 0.94/1.17 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 0.94/1.17 (assume @p54 (and @t60 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 0.94/1.17 (assume @p55 (and @t61 (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) % 0.94/1.17 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 0.94/1.17 (assume @p57 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) tptp.xN)) % 0.94/1.17 (assume @p58 (and (= (tptp.sdtasdt0 tptp.xR @t63) @t64) (= (tptp.sdtasdt0 @t63 tptp.xR) @t64) (= (tptp.sdtasdt0 @t63 @t63) @t62))) % 0.94/1.17 (assume @p59 (= @t68 (tptp.sdtpldt0 @t66 (tptp.sdtpldt0 @t64 @t62)))) % 0.94/1.17 (assume @p60 @t71) % 0.94/1.17 (assume @p61 (not @t74)) % 0.94/1.17 (assume @p62 true) % 0.94/1.17 (step @p63 :rule aci_norm :args ((= (or @t79 @t27) @t78))) % 0.94/1.17 (step @p64 :rule refl :args (@t27)) % 0.94/1.17 (step @p65 :rule aci_norm :args ((= (or @t77 (or @t76 @t75)) @t79))) % 0.94/1.17 (step @p66 :rule bool-and-de-morgan :args (@t15 @t28 true)) % 0.94/1.17 (step @p67 :rule refl :args (@t77)) % 0.94/1.17 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t77 (not (and @t15 @t28))))) % 0.94/1.17 (step @p69 :rule bool-and-de-morgan :args (@t12 @t15 (and @t28))) % 0.94/1.17 (step @p70 :rule trans :premises (@p69 @p68)) % 0.94/1.17 (step @p71 :rule trans :premises (@p70 @p65)) % 0.94/1.17 (step @p72 :rule nary_cong :premises (@p71 @p64) :args ((or (not @t29) @t27))) % 0.94/1.17 (step @p73 :rule trans :premises (@p72 @p63)) % 0.94/1.17 (step @p74 :rule bool-impl-elim :args (@t29 @t27)) % 0.94/1.17 (step @p75 :rule trans :premises (@p74 @p73)) % 0.94/1.17 (step @p76 :rule cong :premises (@p75) :args (@t31)) % 0.94/1.17 (step @p77 :rule eq_resolve :premises (@p14 @p76)) % 0.94/1.17 (step @p78 :rule instantiate :premises (@p77) :args ((@list @t65 @t62 @t64))) % 0.94/1.17 (step @p79 :rule aci_norm :args ((= (or @t80 @t19) (or @t77 @t76 @t19)))) % 0.94/1.17 (step @p80 :rule refl :args (@t19)) % 0.94/1.17 (step @p81 :rule bool-and-de-morgan :args (@t12 @t15 true)) % 0.94/1.17 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t81 @t19))) % 0.94/1.17 (step @p83 :rule trans :premises (@p82 @p79)) % 0.94/1.17 (step @p84 :rule bool-impl-elim :args (@t16 @t19)) % 0.94/1.17 (step @p85 :rule trans :premises (@p84 @p83)) % 0.94/1.17 (step @p86 :rule cong :premises (@p85) :args (@t20)) % 0.94/1.17 (step @p87 :rule eq_resolve :premises (@p11 @p86)) % 0.94/1.17 (step @p88 :rule instantiate :premises (@p87) :args ((@list tptp.xR tptp.xR))) % 0.94/1.17 (step @p89 :rule and_elim :premises (@p52) :args (0)) % 0.94/1.17 (step @p90 :rule cnf_or_pos :args (@t84)) % 0.94/1.17 (step @p91 :rule factoring :premises (@p90)) % 0.94/1.17 (step @p92 :rule reordering :premises (@p91) :args ((or @t83 @t82 (not @t84)))) % 0.94/1.17 (step @p93 :rule chain_m_resolution :premises (@p92 @p89 @p88) :args (@t82 @t85 (@list @t59 @t84))) % 0.94/1.17 (step @p94 :rule instantiate :premises (@p87) :args ((@list tptp.xS tptp.xS))) % 0.94/1.17 (step @p95 :rule and_elim :premises (@p54) :args (0)) % 0.94/1.17 (step @p96 :rule cnf_or_pos :args (@t88)) % 0.94/1.17 (step @p97 :rule factoring :premises (@p96)) % 0.94/1.17 (step @p98 :rule reordering :premises (@p97) :args ((or @t87 @t86 (not @t88)))) % 0.94/1.17 (step @p99 :rule chain_m_resolution :premises (@p98 @p95 @p94) :args (@t86 @t85 (@list @t60 @t88))) % 0.94/1.17 (step @p100 :rule bool-impl-elim :args (@t12 @t22)) % 0.94/1.17 (step @p101 :rule cong :premises (@p100) :args (@t23)) % 0.94/1.17 (step @p102 :rule eq_resolve :premises (@p12 @p101)) % 0.94/1.17 (step @p103 :rule instantiate :premises (@p102) :args ((@list tptp.xN))) % 0.94/1.17 (step @p104 :rule and_elim :premises (@p55) :args (0)) % 0.94/1.17 (step @p105 :rule cnf_or_pos :args (@t91)) % 0.94/1.17 (step @p106 :rule reordering :premises (@p105) :args ((or @t90 @t89 (not @t91)))) % 0.94/1.17 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p103) :args (@t89 @t85 (@list @t61 @t91))) % 0.94/1.17 (step @p108 :rule cnf_or_pos :args (@t102)) % 0.94/1.17 (step @p109 :rule reordering :premises (@p108) :args ((or @t99 @t100 @t101 @t98 (not @t102)))) % 0.94/1.17 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p99 @p93 @p78) :args (@t98 @t103 (@list @t89 @t86 @t82 @t102))) % 0.94/1.17 (step @p111 :rule cnf_and_pos :args (@t98 1)) % 0.94/1.17 (step @p112 :rule reordering :premises (@p111) :args ((or @t97 (not @t98)))) % 0.94/1.17 (step @p113 :rule chain_m_resolution :premises (@p112 @p110) :args (@t97 @t104 (@list @t98))) % 0.94/1.17 (step @p114 :rule refl :args (@t106)) % 0.94/1.17 (step @p115 :rule refl :args (@t107)) % 0.94/1.17 (step @p116 :rule refl :args (@t110)) % 0.94/1.17 (step @p117 :rule eq-symm :args (@t111 @t70)) % 0.94/1.17 (step @p118 :rule nary_cong :premises (@p117 @p116 @p115 @p114) :args (@t112)) % 0.94/1.17 (step @p119 :rule refl :args (@t99)) % 0.94/1.17 (step @p120 :rule refl :args (@t100)) % 0.94/1.17 (step @p121 :rule refl :args (@t114)) % 0.94/1.17 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118) :args (@t115)) % 0.94/1.17 (step @p123 :rule refl :args (@t116)) % 0.94/1.17 (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t116 @t115))) % 0.94/1.17 (assume-push @p199 @t116) % 0.94/1.17 (step @p126 :rule instantiate :premises (@p77) :args ((@list @t66 @t62 @t64))) % 0.94/1.17 (step-pop @p200 :rule scope :premises (@p126)) % 0.94/1.17 (step @p127 :rule process_scope :premises (@p200) :args (@t115)) % 0.94/1.17 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 0.94/1.17 (step @p130 :rule implies_elim :premises (@p129)) % 0.94/1.17 (step @p131 :rule chain_m_resolution :premises (@p130 @p77) :args (@t119 @t104 @t120)) % 0.94/1.17 (step @p132 :rule aci_norm :args ((= (or @t80 @t14) (or @t77 @t76 @t14)))) % 0.94/1.17 (step @p133 :rule refl :args (@t14)) % 0.94/1.17 (step @p134 :rule nary_cong :premises (@p81 @p133) :args ((or @t81 @t14))) % 0.94/1.17 (step @p135 :rule trans :premises (@p134 @p132)) % 0.94/1.17 (step @p136 :rule bool-impl-elim :args (@t16 @t14)) % 0.94/1.17 (step @p137 :rule trans :premises (@p136 @p135)) % 0.94/1.17 (step @p138 :rule cong :premises (@p137) :args (@t17)) % 0.94/1.17 (step @p139 :rule eq_resolve :premises (@p10 @p138)) % 0.94/1.17 (step @p140 :rule instantiate :premises (@p139) :args ((@list @t65 @t64))) % 0.94/1.17 (step @p141 :rule cnf_or_pos :args (@t121)) % 0.94/1.17 (step @p142 :rule reordering :premises (@p141) :args ((or @t99 @t101 @t113 (not @t121)))) % 0.94/1.17 (step @p143 :rule chain_m_resolution :premises (@p142 @p107 @p93 @p140) :args (@t113 (@list false false false) (@list @t89 @t82 @t121))) % 0.94/1.17 (step @p144 :rule cnf_or_pos :args (@t119)) % 0.94/1.17 (step @p145 :rule reordering :premises (@p144) :args ((or @t99 @t100 @t114 @t118 (not @t119)))) % 0.94/1.17 (step @p146 :rule chain_m_resolution :premises (@p145 @p107 @p99 @p143 @p131) :args (@t118 @t103 (@list @t89 @t86 @t113 @t119))) % 0.94/1.17 (step @p147 :rule cnf_and_pos :args (@t118 0)) % 0.94/1.17 (step @p148 :rule reordering :premises (@p147) :args ((or @t117 @t122))) % 0.94/1.17 (step @p149 :rule chain_m_resolution :premises (@p148 @p146) :args (@t117 @t104 @t123)) % 0.94/1.17 (step @p150 :rule cnf_and_pos :args (@t118 1)) % 0.94/1.17 (step @p151 :rule reordering :premises (@p150) :args ((or @t110 @t122))) % 0.94/1.17 (step @p152 :rule chain_m_resolution :premises (@p151 @p146) :args (@t110 @t104 @t123)) % 0.94/1.17 (step @p153 :rule eq-symm :args (@t92 @t93)) % 0.94/1.17 (step @p154 :rule refl :args (@t124)) % 0.94/1.17 (step @p155 :rule eq-symm :args (@t96 @t72)) % 0.94/1.17 (step @p156 :rule eq-symm :args (@t125 @t108)) % 0.94/1.17 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154 @p153) :args (@t126)) % 0.94/1.17 (step @p158 :rule refl :args (@t101)) % 0.94/1.17 (step @p159 :rule nary_cong :premises (@p120 @p158 @p119 @p157) :args (@t127)) % 0.94/1.17 (step @p160 :rule cong :premises (@p123 @p159) :args ((=> @t116 @t127))) % 0.94/1.17 (assume-push @p201 @t116) % 0.94/1.17 (step @p162 :rule instantiate :premises (@p77) :args ((@list @t62 @t65 @t64))) % 0.94/1.17 (step-pop @p202 :rule scope :premises (@p162)) % 0.94/1.17 (step @p163 :rule process_scope :premises (@p202) :args (@t127)) % 0.94/1.17 (step @p165 :rule eq_resolve :premises (@p163 @p160)) % 0.94/1.17 (step @p166 :rule implies_elim :premises (@p165)) % 0.94/1.17 (step @p167 :rule chain_m_resolution :premises (@p166 @p77) :args (@t130 @t104 @t120)) % 0.94/1.17 (step @p168 :rule cnf_or_pos :args (@t130)) % 0.94/1.17 (step @p169 :rule reordering :premises (@p168) :args ((or @t99 @t100 @t101 @t129 (not @t130)))) % 0.94/1.17 (step @p170 :rule chain_m_resolution :premises (@p169 @p107 @p99 @p93 @p167) :args (@t129 @t103 (@list @t89 @t86 @t82 @t130))) % 0.94/1.17 (step @p171 :rule cnf_and_pos :args (@t129 0)) % 0.94/1.17 (step @p172 :rule reordering :premises (@p171) :args ((or @t128 (not @t129)))) % 0.94/1.17 (step @p173 :rule chain_m_resolution :premises (@p172 @p170) :args (@t128 @t104 (@list @t129))) % 0.94/1.17 (assume-push @p203 @t71) % 0.94/1.17 (assume-push @p204 @t97) % 0.94/1.17 (assume-push @p205 @t110) % 0.94/1.17 (assume-push @p206 @t117) % 0.94/1.17 (assume-push @p207 @t128) % 0.94/1.17 (step @p179 :rule refl :args (@t64)) % 0.94/1.17 (step @p180 :rule symm :premises (@p113)) % 0.94/1.17 (step @p181 :rule cong :premises (@p180 @p179) :args (@t125)) % 0.94/1.17 (step @p182 :rule trans :premises (@p152 @p173 @p181)) % 0.94/1.17 (step @p183 :rule symm :premises (@p152)) % 0.94/1.17 (step @p184 :rule trans :premises (@p183 @p182)) % 0.94/1.17 (step @p185 :rule cong :premises (@p184 @p179) :args ((tptp.sdtpldt0 @t108 @t64))) % 0.94/1.17 (step @p186 :rule cong :premises (@p152 @p179) :args (@t111)) % 0.94/1.17 (step @p187 :rule trans :premises (@p60 @p149 @p186 @p185)) % 0.94/1.17 (step-pop @p208 :rule scope :premises (@p187)) % 0.94/1.17 (step-pop @p209 :rule scope :premises (@p208)) % 0.94/1.17 (step-pop @p210 :rule scope :premises (@p209)) % 0.94/1.17 (step-pop @p211 :rule scope :premises (@p210)) % 0.94/1.18 (step-pop @p212 :rule scope :premises (@p211)) % 0.94/1.18 (step @p188 :rule process_scope :premises (@p212) :args (@t74)) % 0.94/1.18 (step @p194 :rule implies_elim :premises (@p188)) % 0.94/1.18 (step @p195 :rule cnf_and_neg :args (@t131)) % 0.94/1.18 (step @p196 :rule resolution :premises (@p195 @p194) :args (true @t131)) % 0.94/1.18 (step @p197 :rule reordering :premises (@p196) :args ((or @t74 (not @t71) (not @t97) (not @t117) (not @t110) (not @t128)))) % 0.94/1.18 (step @p198 false :rule chain_m_resolution :premises (@p197 @p173 @p152 @p149 @p113 @p61 @p60) :args (false (@list false false false false true false) (@list @t128 @t110 @t117 @t97 @t74 @t71))) % 0.94/1.18 ) % 0.94/1.18 % SZS output end Proof % 0.94/1.18 % cvc5 exiting %------------------------------------------------------------------------------