%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG061+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 : n027.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 0.95s 1.15s % Output : Proof 0.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG061+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n027.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 14:05:21 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.95/1.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.95/1.15 % SZS status Theorem % 0.95/1.15 % SZS output start Proof % 0.95/1.15 ( % 0.95/1.15 (declare-sort $$unsorted 0) % 0.95/1.15 (declare-const tptp.xN $$unsorted) % 0.95/1.15 (declare-const tptp.xS $$unsorted) % 0.95/1.15 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.sz00 $$unsorted) % 0.95/1.15 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.xp $$unsorted) % 0.95/1.15 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.xG $$unsorted) % 0.95/1.15 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.xF $$unsorted) % 0.95/1.15 (declare-const tptp.sz0z00 $$unsorted) % 0.95/1.15 (declare-const tptp.xC $$unsorted) % 0.95/1.15 (declare-const tptp.xR $$unsorted) % 0.95/1.15 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.xs $$unsorted) % 0.95/1.15 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.xq $$unsorted) % 0.95/1.15 (declare-const tptp.xP $$unsorted) % 0.95/1.15 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.xA $$unsorted) % 0.95/1.15 (declare-const tptp.xB $$unsorted) % 0.95/1.15 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.95/1.15 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.95/1.15 (declare-const tptp.xt $$unsorted) % 0.95/1.15 (declare-const tptp.xD $$unsorted) % 0.95/1.15 (declare-const tptp.xE $$unsorted) % 0.95/1.15 (declare-const tptp.xH $$unsorted) % 0.95/1.15 (define @t1 () (@var "W0" $$unsorted)) % 0.95/1.15 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.95/1.15 (define @t3 () (@list @t1)) % 0.95/1.15 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.95/1.15 (define @t5 () (@var "W1" $$unsorted)) % 0.95/1.15 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.95/1.15 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.95/1.15 (define @t8 () (@list @t5)) % 0.95/1.15 (define @t9 () (= @t1 @t5)) % 0.95/1.15 (define @t10 () (and @t2 @t7)) % 0.95/1.15 (define @t11 () (@list @t1 @t5)) % 0.95/1.15 (define @t12 () (tptp.aScalar0 @t1)) % 0.95/1.15 (define @t13 () (tptp.sdtpldt0 @t1 @t5)) % 0.95/1.15 (define @t14 () (tptp.aScalar0 @t5)) % 0.95/1.15 (define @t15 () (and @t12 @t14)) % 0.95/1.15 (define @t16 () (tptp.sdtasdt0 @t1 @t5)) % 0.95/1.15 (define @t17 () (tptp.aScalar0 @t16)) % 0.95/1.15 (define @t18 () (forall @t11 (=> @t15 @t17))) % 0.95/1.15 (define @t19 () (tptp.smndt0 @t1)) % 0.95/1.15 (define @t20 () (tptp.aScalar0 @t19)) % 0.95/1.15 (define @t21 () (forall @t3 (=> @t12 @t20))) % 0.95/1.15 (define @t22 () (@var "W2" $$unsorted)) % 0.95/1.15 (define @t23 () (tptp.sdtasdt0 @t5 @t22)) % 0.95/1.15 (define @t24 () (tptp.sdtpldt0 @t5 @t22)) % 0.95/1.15 (define @t25 () (and (= (tptp.sdtpldt0 @t13 @t22) (tptp.sdtpldt0 @t1 @t24)) (= @t13 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t16 @t22) (tptp.sdtasdt0 @t1 @t23)) (= @t16 (tptp.sdtasdt0 @t5 @t1)))) % 0.95/1.15 (define @t26 () (tptp.aScalar0 @t22)) % 0.95/1.15 (define @t27 () (and @t12 @t14 @t26)) % 0.95/1.15 (define @t28 () (@list @t1 @t5 @t22)) % 0.95/1.15 (define @t29 () (forall @t28 (=> @t27 @t25))) % 0.95/1.15 (define @t30 () (tptp.sdtasdt0 @t1 @t22)) % 0.95/1.15 (define @t31 () (and (= (tptp.sdtasdt0 @t1 @t24) (tptp.sdtpldt0 @t16 @t30)) (= (tptp.sdtasdt0 @t13 @t22) (tptp.sdtpldt0 @t30 @t23)))) % 0.95/1.15 (define @t32 () (forall @t28 (=> @t27 @t31))) % 0.95/1.15 (define @t33 () (@var "W3" $$unsorted)) % 0.95/1.15 (define @t34 () (tptp.sdtasdt0 @t5 @t33)) % 0.95/1.15 (define @t35 () (and @t12 @t14 @t26 (tptp.aScalar0 @t33))) % 0.95/1.15 (define @t36 () (@list @t1 @t5 @t22 @t33)) % 0.95/1.15 (define @t37 () (tptp.smndt0 @t16)) % 0.95/1.15 (define @t38 () (tptp.smndt0 @t5)) % 0.95/1.15 (define @t39 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.95/1.15 (define @t40 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.95/1.15 (define @t41 () (tptp.sdtlseqdt0 @t22 @t33)) % 0.95/1.15 (define @t42 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.95/1.15 (define @t43 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.95/1.15 (define @t44 () (tptp.sdtasdt0 @t1 @t1)) % 0.95/1.15 (define @t45 () (tptp.aVector0 @t1)) % 0.95/1.15 (define @t46 () (tptp.aDimensionOf0 @t1)) % 0.95/1.15 (define @t47 () (tptp.aDimensionOf0 @t5)) % 0.95/1.15 (define @t48 () (tptp.aVector0 @t5)) % 0.95/1.15 (define @t49 () (tptp.sziznziztdt0 @t1)) % 0.95/1.15 (define @t50 () (tptp.sziznziztdt0 @t5)) % 0.95/1.15 (define @t51 () (= @t47 tptp.sz00)) % 0.95/1.15 (define @t52 () (= @t46 @t47)) % 0.95/1.15 (define @t53 () (and @t52 (not @t51))) % 0.95/1.15 (define @t54 () (and @t45 @t48)) % 0.95/1.15 (define @t55 () (tptp.sdtasasdt0 @t1 @t5)) % 0.95/1.15 (define @t56 () (tptp.sdtasasdt0 @t1 @t1)) % 0.95/1.15 (define @t57 () (tptp.aDimensionOf0 tptp.xs)) % 0.95/1.15 (define @t58 () (tptp.aDimensionOf0 tptp.xt)) % 0.95/1.15 (define @t59 () (tptp.aScalar0 tptp.xR)) % 0.95/1.15 (define @t60 () (tptp.aScalar0 tptp.xS)) % 0.95/1.15 (define @t61 () (tptp.aScalar0 tptp.xN)) % 0.95/1.15 (define @t62 () (tptp.sdtasdt0 tptp.xS tptp.xS)) % 0.95/1.15 (define @t63 () (tptp.smndt0 tptp.xS)) % 0.95/1.15 (define @t64 () (tptp.sdtasdt0 @t63 @t63)) % 0.95/1.15 (define @t65 () (= @t64 @t62)) % 0.95/1.15 (define @t66 () (tptp.smndt0 tptp.xN)) % 0.95/1.15 (define @t67 () (tptp.sdtasdt0 @t63 tptp.xR)) % 0.95/1.15 (define @t68 () (tptp.sdtasdt0 tptp.xR @t63)) % 0.95/1.15 (define @t69 () (tptp.sdtpldt0 @t66 @t62)) % 0.95/1.15 (define @t70 () (tptp.sdtasdt0 tptp.xR tptp.xR)) % 0.95/1.15 (define @t71 () (tptp.sdtpldt0 @t70 @t66)) % 0.95/1.15 (define @t72 () (tptp.sdtpldt0 @t71 @t69)) % 0.95/1.15 (define @t73 () (tptp.sdtpldt0 tptp.xR @t63)) % 0.95/1.15 (define @t74 () (tptp.sdtasdt0 @t73 @t73)) % 0.95/1.15 (define @t75 () (= @t74 @t72)) % 0.95/1.15 (define @t76 () (tptp.sdtpldt0 @t62 @t66)) % 0.95/1.15 (define @t77 () (= @t74 (tptp.sdtpldt0 @t71 @t76))) % 0.95/1.15 (define @t78 () (not @t26)) % 0.95/1.15 (define @t79 () (not @t14)) % 0.95/1.15 (define @t80 () (not @t12)) % 0.95/1.15 (define @t81 () (or @t80 @t79 @t78 @t31)) % 0.95/1.15 (define @t82 () (or @t80 @t79 @t78)) % 0.95/1.15 (define @t83 () (not @t27)) % 0.95/1.15 (define @t84 () (tptp.sdtpldt0 @t68 @t64)) % 0.95/1.15 (define @t85 () (tptp.sdtasdt0 @t73 @t63)) % 0.95/1.15 (define @t86 () (= @t85 @t84)) % 0.95/1.15 (define @t87 () (tptp.sdtasdt0 tptp.xR (tptp.sdtpldt0 @t63 @t63))) % 0.95/1.15 (define @t88 () (tptp.sdtpldt0 @t68 @t68)) % 0.95/1.15 (define @t89 () (and (= @t87 @t88) @t86)) % 0.95/1.15 (define @t90 () (tptp.aScalar0 @t63)) % 0.95/1.15 (define @t91 () (not @t90)) % 0.95/1.15 (define @t92 () (not @t59)) % 0.95/1.15 (define @t93 () (or @t92 @t91 @t91 @t89)) % 0.95/1.15 (define @t94 () (forall @t28 @t81)) % 0.95/1.15 (define @t95 () (and (= @t88 @t87) @t86)) % 0.95/1.15 (define @t96 () (or @t92 @t91 @t91 @t95)) % 0.95/1.15 (define @t97 () (@list false)) % 0.95/1.15 (define @t98 () (not @t60)) % 0.95/1.15 (define @t99 () (or @t98 @t90)) % 0.95/1.15 (define @t100 () (@list false false)) % 0.95/1.15 (define @t101 () (@list false false false)) % 0.95/1.15 (define @t102 () (tptp.sdtpldt0 @t70 @t67)) % 0.95/1.15 (define @t103 () (tptp.sdtasdt0 @t73 tptp.xR)) % 0.95/1.15 (define @t104 () (= @t103 @t102)) % 0.95/1.15 (define @t105 () (and (= (tptp.sdtasdt0 tptp.xR (tptp.sdtpldt0 @t63 tptp.xR)) (tptp.sdtpldt0 @t68 @t70)) @t104)) % 0.95/1.15 (define @t106 () (or @t92 @t91 @t92 @t105)) % 0.95/1.15 (define @t107 () (tptp.aScalar0 @t68)) % 0.95/1.15 (define @t108 () (or @t92 @t91 @t107)) % 0.95/1.15 (define @t109 () (tptp.aScalar0 @t62)) % 0.95/1.15 (define @t110 () (or @t98 @t98 @t109)) % 0.95/1.15 (define @t111 () (tptp.aScalar0 @t66)) % 0.95/1.15 (define @t112 () (not @t61)) % 0.95/1.15 (define @t113 () (or @t112 @t111)) % 0.95/1.15 (define @t114 () (tptp.sdtasdt0 @t66 @t62)) % 0.95/1.15 (define @t115 () (= @t69 @t76)) % 0.95/1.15 (define @t116 () (and (= (tptp.sdtpldt0 @t69 @t68) (tptp.sdtpldt0 @t66 (tptp.sdtpldt0 @t62 @t68))) @t115 (= (tptp.sdtasdt0 @t114 @t68) (tptp.sdtasdt0 @t66 (tptp.sdtasdt0 @t62 @t68))) (= @t114 (tptp.sdtasdt0 @t62 @t66)))) % 0.95/1.15 (define @t117 () (not @t107)) % 0.95/1.15 (define @t118 () (not @t109)) % 0.95/1.15 (define @t119 () (not @t111)) % 0.95/1.15 (define @t120 () (or @t119 @t118 @t117 @t116)) % 0.95/1.15 (define @t121 () (= @t66 @t67)) % 0.95/1.15 (define @t122 () (= @t66 @t68)) % 0.95/1.15 (define @t123 () (and @t65 @t75 @t121 @t122 @t86 @t104 @t115)) % 0.95/1.15 (assume @p1 (forall @t3 (=> @t2 true))) % 0.95/1.15 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.95/1.15 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.95/1.15 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.95/1.15 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.95/1.15 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.95/1.15 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.95/1.15 (assume @p8 (forall @t3 (=> @t12 true))) % 0.95/1.15 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.95/1.15 (assume @p10 (forall @t11 (=> @t15 (tptp.aScalar0 @t13)))) % 0.95/1.15 (assume @p11 @t18) % 0.95/1.15 (assume @p12 @t21) % 0.95/1.15 (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 @t19) tptp.sz0z00) (= (tptp.sdtpldt0 @t19 @t1) tptp.sz0z00) (= (tptp.smndt0 @t19) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) % 0.95/1.15 (assume @p14 @t29) % 0.95/1.15 (assume @p15 @t32) % 0.95/1.15 (assume @p16 (forall @t36 (=> @t35 (= (tptp.sdtasdt0 @t13 (tptp.sdtpldt0 @t22 @t33)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t30 (tptp.sdtasdt0 @t1 @t33)) (tptp.sdtpldt0 @t23 @t34)))))) % 0.95/1.15 (assume @p17 (forall @t11 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t38) @t37) (= (tptp.sdtasdt0 @t19 @t5) @t37))))) % 0.95/1.15 (assume @p18 (forall @t11 (=> @t15 (= (tptp.sdtasdt0 @t19 @t38) @t16)))) % 0.95/1.15 (assume @p19 (forall @t11 (=> @t15 (=> @t39 true)))) % 0.95/1.15 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.95/1.15 (assume @p21 (forall @t11 (=> @t15 (=> (and @t39 @t40) @t9)))) % 0.95/1.15 (assume @p22 (forall @t28 (=> @t27 (=> (and @t39 (tptp.sdtlseqdt0 @t5 @t22)) (tptp.sdtlseqdt0 @t1 @t22))))) % 0.95/1.15 (assume @p23 (forall @t36 (=> @t35 (=> (and @t39 @t41) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t22) (tptp.sdtpldt0 @t5 @t33)))))) % 0.95/1.15 (assume @p24 (forall @t36 (=> @t35 (=> (and @t39 (tptp.sdtlseqdt0 tptp.sz0z00 @t22) @t41) (tptp.sdtlseqdt0 @t30 @t34))))) % 0.95/1.15 (assume @p25 (forall @t11 (=> @t15 (or @t39 @t40)))) % 0.95/1.15 (assume @p26 (forall @t11 (=> @t15 (=> (and @t43 @t42) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t13) (tptp.sdtlseqdt0 tptp.sz0z00 @t16)))))) % 0.95/1.15 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t44)))) % 0.95/1.15 (assume @p28 (forall @t11 (=> @t15 (=> (and @t43 @t42 (= @t44 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.95/1.15 (assume @p29 (forall @t3 (=> @t45 true))) % 0.95/1.15 (assume @p30 (forall @t3 (=> @t45 (tptp.aNaturalNumber0 @t46)))) % 0.95/1.15 (assume @p31 (forall @t11 (=> (and @t45 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.95/1.15 (assume @p32 (forall @t3 (=> @t45 (=> (not (= @t46 tptp.sz00)) (forall @t8 (= (= @t5 @t49) (and @t48 (= (tptp.szszuzczcdt0 @t47) @t46) (forall (@list @t22) (=> (tptp.aNaturalNumber0 @t22) (= (tptp.sdtlbdtrb0 @t5 @t22) (tptp.sdtlbdtrb0 @t1 @t22))))))))))) % 0.95/1.15 (assume @p33 (forall @t11 (=> @t54 (=> @t53 (= (tptp.aDimensionOf0 @t49) (tptp.aDimensionOf0 @t50)))))) % 0.95/1.15 (assume @p34 (forall @t11 (=> @t54 (=> @t52 (tptp.aScalar0 @t55))))) % 0.95/1.15 (assume @p35 (forall @t11 (=> @t54 (=> (and @t52 @t51) (= @t55 tptp.sz0z00))))) % 0.95/1.15 (assume @p36 (forall @t11 (=> @t54 (=> @t53 (= @t55 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t49 @t50) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t46) (tptp.sdtlbdtrb0 @t5 @t47)))))))) % 0.95/1.15 (assume @p37 (forall @t3 (=> @t45 (tptp.sdtlseqdt0 tptp.sz0z00 @t56)))) % 0.95/1.15 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 0.95/1.15 (assume @p39 (forall @t11 (=> @t54 (=> @t52 (=> (tptp.iLess0 @t46 @t57) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t55 @t55) (tptp.sdtasdt0 @t56 (tptp.sdtasasdt0 @t5 @t5)))))))) % 0.95/1.15 (assume @p40 (= @t57 @t58)) % 0.95/1.15 (assume @p41 (not (= @t57 tptp.sz00))) % 0.95/1.15 (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)))) % 0.95/1.15 (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)))) % 0.95/1.15 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t57)))) % 0.95/1.15 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t58)))) % 0.95/1.15 (assume @p46 (and (tptp.aScalar0 tptp.xC) (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) % 0.95/1.15 (assume @p47 (and (tptp.aScalar0 tptp.xD) (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) % 0.95/1.15 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 0.95/1.15 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) % 0.95/1.15 (assume @p50 (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) % 0.95/1.15 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 0.95/1.15 (assume @p52 (and @t59 (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) % 0.95/1.15 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 0.95/1.15 (assume @p54 (and @t60 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 0.95/1.15 (assume @p55 (and @t61 (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) % 0.95/1.15 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 0.95/1.15 (assume @p57 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xP tptp.xP) tptp.xN)) % 0.95/1.15 (assume @p58 (and (= @t68 @t66) (= @t67 @t66) @t65)) % 0.95/1.15 (assume @p59 @t75) % 0.95/1.15 (assume @p60 (not @t77)) % 0.95/1.15 (assume @p61 true) % 0.95/1.15 (step @p62 :rule and_elim :premises (@p58) :args (0)) % 0.95/1.15 (step @p63 :rule symm :premises (@p62)) % 0.95/1.15 (step @p64 :rule and_elim :premises (@p58) :args (1)) % 0.95/1.15 (step @p65 :rule symm :premises (@p64)) % 0.95/1.15 (step @p66 :rule and_elim :premises (@p58) :args (2)) % 0.95/1.15 (step @p67 :rule aci_norm :args ((= (or @t82 @t31) @t81))) % 0.95/1.15 (step @p68 :rule refl :args (@t31)) % 0.95/1.15 (step @p69 :rule aci_norm :args ((= (or @t80 (or @t79 @t78)) @t82))) % 0.95/1.15 (step @p70 :rule bool-and-de-morgan :args (@t14 @t26 true)) % 0.95/1.15 (step @p71 :rule refl :args (@t80)) % 0.95/1.15 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t80 (not (and @t14 @t26))))) % 0.95/1.15 (step @p73 :rule bool-and-de-morgan :args (@t12 @t14 (and @t26))) % 0.95/1.15 (step @p74 :rule trans :premises (@p73 @p72)) % 0.95/1.15 (step @p75 :rule trans :premises (@p74 @p69)) % 0.95/1.15 (step @p76 :rule nary_cong :premises (@p75 @p68) :args ((or @t83 @t31))) % 0.95/1.15 (step @p77 :rule trans :premises (@p76 @p67)) % 0.95/1.15 (step @p78 :rule bool-impl-elim :args (@t27 @t31)) % 0.95/1.15 (step @p79 :rule trans :premises (@p78 @p77)) % 0.95/1.15 (step @p80 :rule cong :premises (@p79) :args (@t32)) % 0.95/1.15 (step @p81 :rule eq_resolve :premises (@p15 @p80)) % 0.95/1.15 (step @p82 :rule refl :args (@t86)) % 0.95/1.15 (step @p83 :rule eq-symm :args (@t87 @t88)) % 0.95/1.15 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t89)) % 0.95/1.15 (step @p85 :rule refl :args (@t91)) % 0.95/1.15 (step @p86 :rule refl :args (@t92)) % 0.95/1.15 (step @p87 :rule nary_cong :premises (@p86 @p85 @p85 @p84) :args (@t93)) % 0.95/1.15 (step @p88 :rule refl :args (@t94)) % 0.95/1.15 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t94 @t93))) % 0.95/1.15 (assume-push @p191 @t94) % 0.95/1.15 (step @p91 :rule instantiate :premises (@p81) :args ((@list tptp.xR @t63 @t63))) % 0.95/1.15 (step-pop @p192 :rule scope :premises (@p91)) % 0.95/1.15 (step @p92 :rule process_scope :premises (@p192) :args (@t93)) % 0.95/1.15 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 0.95/1.15 (step @p95 :rule implies_elim :premises (@p94)) % 0.95/1.15 (step @p96 :rule chain_m_resolution :premises (@p95 @p81) :args (@t96 @t97 (@list @t94))) % 0.95/1.15 (step @p97 :rule bool-impl-elim :args (@t12 @t20)) % 0.95/1.15 (step @p98 :rule cong :premises (@p97) :args (@t21)) % 0.95/1.15 (step @p99 :rule eq_resolve :premises (@p12 @p98)) % 0.95/1.15 (step @p100 :rule instantiate :premises (@p99) :args ((@list tptp.xS))) % 0.95/1.15 (step @p101 :rule and_elim :premises (@p54) :args (0)) % 0.95/1.15 (step @p102 :rule cnf_or_pos :args (@t99)) % 0.95/1.15 (step @p103 :rule reordering :premises (@p102) :args ((or @t98 @t90 (not @t99)))) % 0.95/1.15 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p100) :args (@t90 @t100 (@list @t60 @t99))) % 0.95/1.15 (step @p105 :rule and_elim :premises (@p52) :args (0)) % 0.95/1.15 (step @p106 :rule cnf_or_pos :args (@t96)) % 0.95/1.15 (step @p107 :rule factoring :premises (@p106)) % 0.95/1.15 (step @p108 :rule reordering :premises (@p107) :args ((or @t92 @t91 @t95 (not @t96)))) % 0.95/1.15 (step @p109 :rule chain_m_resolution :premises (@p108 @p105 @p104 @p96) :args (@t95 @t101 (@list @t59 @t90 @t96))) % 0.95/1.15 (step @p110 :rule cnf_and_pos :args (@t95 1)) % 0.95/1.15 (step @p111 :rule reordering :premises (@p110) :args ((or @t86 (not @t95)))) % 0.95/1.15 (step @p112 :rule chain_m_resolution :premises (@p111 @p109) :args (@t86 @t97 (@list @t95))) % 0.95/1.15 (step @p113 :rule instantiate :premises (@p81) :args ((@list tptp.xR @t63 tptp.xR))) % 0.95/1.15 (step @p114 :rule cnf_or_pos :args (@t106)) % 0.95/1.15 (step @p115 :rule factoring :premises (@p114)) % 0.95/1.15 (step @p116 :rule reordering :premises (@p115) :args ((or @t92 @t91 @t105 (not @t106)))) % 0.95/1.15 (step @p117 :rule chain_m_resolution :premises (@p116 @p105 @p104 @p113) :args (@t105 @t101 (@list @t59 @t90 @t106))) % 0.95/1.15 (step @p118 :rule cnf_and_pos :args (@t105 1)) % 0.95/1.15 (step @p119 :rule reordering :premises (@p118) :args ((or @t104 (not @t105)))) % 0.95/1.15 (step @p120 :rule chain_m_resolution :premises (@p119 @p117) :args (@t104 @t97 (@list @t105))) % 0.95/1.15 (step @p121 :rule aci_norm :args ((= (or @t82 @t25) (or @t80 @t79 @t78 @t25)))) % 0.95/1.15 (step @p122 :rule refl :args (@t25)) % 0.95/1.15 (step @p123 :rule nary_cong :premises (@p75 @p122) :args ((or @t83 @t25))) % 0.95/1.15 (step @p124 :rule trans :premises (@p123 @p121)) % 0.95/1.15 (step @p125 :rule bool-impl-elim :args (@t27 @t25)) % 0.95/1.15 (step @p126 :rule trans :premises (@p125 @p124)) % 0.95/1.15 (step @p127 :rule cong :premises (@p126) :args (@t29)) % 0.95/1.15 (step @p128 :rule eq_resolve :premises (@p14 @p127)) % 0.95/1.15 (step @p129 :rule instantiate :premises (@p128) :args ((@list @t66 @t62 @t68))) % 0.95/1.15 (step @p130 :rule aci_norm :args ((= (or (or @t80 @t79) @t17) (or @t80 @t79 @t17)))) % 0.95/1.15 (step @p131 :rule refl :args (@t17)) % 0.95/1.15 (step @p132 :rule bool-and-de-morgan :args (@t12 @t14 true)) % 0.95/1.15 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t15) @t17))) % 0.95/1.15 (step @p134 :rule trans :premises (@p133 @p130)) % 0.95/1.15 (step @p135 :rule bool-impl-elim :args (@t15 @t17)) % 0.95/1.15 (step @p136 :rule trans :premises (@p135 @p134)) % 0.95/1.15 (step @p137 :rule cong :premises (@p136) :args (@t18)) % 0.95/1.15 (step @p138 :rule eq_resolve :premises (@p11 @p137)) % 0.95/1.15 (step @p139 :rule instantiate :premises (@p138) :args ((@list tptp.xR @t63))) % 0.95/1.15 (step @p140 :rule cnf_or_pos :args (@t108)) % 0.95/1.15 (step @p141 :rule reordering :premises (@p140) :args ((or @t92 @t91 @t107 (not @t108)))) % 0.95/1.15 (step @p142 :rule chain_m_resolution :premises (@p141 @p105 @p104 @p139) :args (@t107 @t101 (@list @t59 @t90 @t108))) % 0.95/1.15 (step @p143 :rule instantiate :premises (@p138) :args ((@list tptp.xS tptp.xS))) % 0.95/1.15 (step @p144 :rule cnf_or_pos :args (@t110)) % 0.95/1.15 (step @p145 :rule factoring :premises (@p144)) % 0.95/1.15 (step @p146 :rule reordering :premises (@p145) :args ((or @t98 @t109 (not @t110)))) % 0.95/1.15 (step @p147 :rule chain_m_resolution :premises (@p146 @p101 @p143) :args (@t109 @t100 (@list @t60 @t110))) % 0.95/1.15 (step @p148 :rule instantiate :premises (@p99) :args ((@list tptp.xN))) % 0.95/1.15 (step @p149 :rule and_elim :premises (@p55) :args (0)) % 0.95/1.15 (step @p150 :rule cnf_or_pos :args (@t113)) % 0.95/1.15 (step @p151 :rule reordering :premises (@p150) :args ((or @t112 @t111 (not @t113)))) % 0.95/1.15 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p148) :args (@t111 @t100 (@list @t61 @t113))) % 0.95/1.15 (step @p153 :rule cnf_or_pos :args (@t120)) % 0.95/1.15 (step @p154 :rule reordering :premises (@p153) :args ((or @t119 @t118 @t117 @t116 (not @t120)))) % 0.95/1.15 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p147 @p142 @p129) :args (@t116 (@list false false false false) (@list @t111 @t109 @t107 @t120))) % 0.95/1.15 (step @p156 :rule cnf_and_pos :args (@t116 1)) % 0.95/1.15 (step @p157 :rule reordering :premises (@p156) :args ((or @t115 (not @t116)))) % 0.95/1.15 (step @p158 :rule chain_m_resolution :premises (@p157 @p155) :args (@t115 @t97 (@list @t116))) % 0.95/1.15 (assume-push @p193 @t65) % 0.95/1.15 (assume-push @p194 @t75) % 0.95/1.15 (assume-push @p195 @t121) % 0.95/1.15 (assume-push @p196 @t122) % 0.95/1.15 (assume-push @p197 @t86) % 0.95/1.15 (assume-push @p198 @t104) % 0.95/1.15 (assume-push @p199 @t115) % 0.95/1.15 (step @p166 :rule cong :premises (@p62 @p66) :args (@t84)) % 0.95/1.15 (step @p167 :rule trans :premises (@p112 @p166 @p158)) % 0.95/1.15 (step @p168 :rule refl :args (@t70)) % 0.95/1.15 (step @p169 :rule cong :premises (@p168 @p64) :args (@t102)) % 0.95/1.15 (step @p170 :rule trans :premises (@p120 @p169)) % 0.95/1.15 (step @p171 :rule cong :premises (@p170 @p167) :args ((tptp.sdtpldt0 @t103 @t85))) % 0.95/1.15 (step @p172 :rule symm :premises (@p112)) % 0.95/1.15 (step @p173 :rule symm :premises (@p166)) % 0.95/1.15 (step @p174 :rule trans :premises (@p173 @p172)) % 0.95/1.15 (step @p175 :rule symm :premises (@p170)) % 0.95/1.15 (step @p176 :rule cong :premises (@p175 @p174) :args (@t72)) % 0.95/1.15 (step @p177 :rule trans :premises (@p59 @p176 @p171)) % 0.95/1.15 (step-pop @p200 :rule scope :premises (@p177)) % 0.95/1.15 (step-pop @p201 :rule scope :premises (@p200)) % 0.95/1.15 (step-pop @p202 :rule scope :premises (@p201)) % 0.95/1.15 (step-pop @p203 :rule scope :premises (@p202)) % 0.95/1.15 (step-pop @p204 :rule scope :premises (@p203)) % 0.95/1.15 (step-pop @p205 :rule scope :premises (@p204)) % 0.95/1.15 (step-pop @p206 :rule scope :premises (@p205)) % 0.95/1.15 (step @p178 :rule process_scope :premises (@p206) :args (@t77)) % 0.95/1.15 (step @p186 :rule implies_elim :premises (@p178)) % 0.95/1.15 (step @p187 :rule cnf_and_neg :args (@t123)) % 0.95/1.15 (step @p188 :rule resolution :premises (@p187 @p186) :args (true @t123)) % 0.95/1.15 (step @p189 :rule reordering :premises (@p188) :args ((or @t77 (not @t122) (not @t121) (not @t65) (not @t75) (not @t86) (not @t104) (not @t115)))) % 0.95/1.15 (step @p190 false :rule chain_m_resolution :premises (@p189 @p158 @p120 @p112 @p60 @p59 @p66 @p65 @p63) :args (false (@list false false false true false false false false) (@list @t115 @t104 @t86 @t77 @t75 @t65 @t121 @t122))) % 0.95/1.15 ) % 0.95/1.15 % SZS output end Proof % 0.95/1.15 % cvc5 exiting %------------------------------------------------------------------------------