%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG052+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:45:30 AM UTC 2026 % Result : Theorem 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG052+2 : TPTP v9.2.1. Released v4.0.0. % 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 : n025.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 14:04:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.64 % SZS status Theorem % 0.46/0.64 % SZS output start Proof % 0.46/0.64 ( % 0.46/0.64 (declare-sort $$unsorted 0) % 0.46/0.64 (declare-const tptp.xN $$unsorted) % 0.46/0.64 (declare-const tptp.xS $$unsorted) % 0.46/0.64 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.sz00 $$unsorted) % 0.46/0.64 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.xp $$unsorted) % 0.46/0.64 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.xG $$unsorted) % 0.46/0.64 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.xF $$unsorted) % 0.46/0.64 (declare-const tptp.sz0z00 $$unsorted) % 0.46/0.64 (declare-const tptp.xC $$unsorted) % 0.46/0.64 (declare-const tptp.xR $$unsorted) % 0.46/0.64 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.xs $$unsorted) % 0.46/0.64 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.xq $$unsorted) % 0.46/0.64 (declare-const tptp.xP $$unsorted) % 0.46/0.64 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.xA $$unsorted) % 0.46/0.64 (declare-const tptp.xB $$unsorted) % 0.46/0.64 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.xt $$unsorted) % 0.46/0.64 (declare-const tptp.xD $$unsorted) % 0.46/0.64 (declare-const tptp.xE $$unsorted) % 0.46/0.64 (declare-const tptp.xH $$unsorted) % 0.46/0.64 (define @t1 () (@var "W0" $$unsorted)) % 0.46/0.64 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.46/0.64 (define @t3 () (@list @t1)) % 0.46/0.64 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.46/0.64 (define @t5 () (@var "W1" $$unsorted)) % 0.46/0.64 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.46/0.64 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.46/0.64 (define @t8 () (@list @t5)) % 0.46/0.64 (define @t9 () (= @t1 @t5)) % 0.46/0.64 (define @t10 () (and @t2 @t7)) % 0.46/0.64 (define @t11 () (@list @t1 @t5)) % 0.46/0.64 (define @t12 () (tptp.iLess0 @t1 @t4)) % 0.46/0.64 (define @t13 () (forall @t3 (=> @t2 @t12))) % 0.46/0.64 (define @t14 () (tptp.aScalar0 @t1)) % 0.46/0.64 (define @t15 () (tptp.sdtpldt0 @t1 @t5)) % 0.46/0.64 (define @t16 () (tptp.aScalar0 @t5)) % 0.46/0.64 (define @t17 () (and @t14 @t16)) % 0.46/0.64 (define @t18 () (tptp.sdtasdt0 @t1 @t5)) % 0.46/0.64 (define @t19 () (tptp.smndt0 @t1)) % 0.46/0.64 (define @t20 () (@var "W2" $$unsorted)) % 0.46/0.64 (define @t21 () (tptp.sdtasdt0 @t5 @t20)) % 0.46/0.64 (define @t22 () (tptp.sdtpldt0 @t5 @t20)) % 0.46/0.64 (define @t23 () (tptp.aScalar0 @t20)) % 0.46/0.64 (define @t24 () (and @t14 @t16 @t23)) % 0.46/0.64 (define @t25 () (@list @t1 @t5 @t20)) % 0.46/0.64 (define @t26 () (tptp.sdtasdt0 @t1 @t20)) % 0.46/0.64 (define @t27 () (@var "W3" $$unsorted)) % 0.46/0.64 (define @t28 () (tptp.sdtasdt0 @t5 @t27)) % 0.46/0.64 (define @t29 () (and @t14 @t16 @t23 (tptp.aScalar0 @t27))) % 0.46/0.64 (define @t30 () (@list @t1 @t5 @t20 @t27)) % 0.46/0.64 (define @t31 () (tptp.smndt0 @t18)) % 0.46/0.64 (define @t32 () (tptp.smndt0 @t5)) % 0.46/0.64 (define @t33 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.46/0.64 (define @t34 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.46/0.64 (define @t35 () (tptp.sdtlseqdt0 @t20 @t27)) % 0.46/0.64 (define @t36 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.46/0.64 (define @t37 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.46/0.64 (define @t38 () (tptp.sdtasdt0 @t1 @t1)) % 0.46/0.64 (define @t39 () (tptp.aVector0 @t1)) % 0.46/0.64 (define @t40 () (tptp.aDimensionOf0 @t1)) % 0.46/0.64 (define @t41 () (tptp.aNaturalNumber0 @t40)) % 0.46/0.64 (define @t42 () (forall @t3 (=> @t39 @t41))) % 0.46/0.64 (define @t43 () (tptp.aDimensionOf0 @t5)) % 0.46/0.64 (define @t44 () (tptp.aVector0 @t5)) % 0.46/0.64 (define @t45 () (tptp.sziznziztdt0 @t1)) % 0.46/0.64 (define @t46 () (tptp.sziznziztdt0 @t5)) % 0.46/0.64 (define @t47 () (= (tptp.aDimensionOf0 @t45) (tptp.aDimensionOf0 @t46))) % 0.46/0.64 (define @t48 () (= @t43 tptp.sz00)) % 0.46/0.64 (define @t49 () (not @t48)) % 0.46/0.64 (define @t50 () (= @t40 @t43)) % 0.46/0.64 (define @t51 () (and @t50 @t49)) % 0.46/0.64 (define @t52 () (=> @t51 @t47)) % 0.46/0.64 (define @t53 () (and @t39 @t44)) % 0.46/0.64 (define @t54 () (=> @t53 @t52)) % 0.46/0.64 (define @t55 () (forall @t11 @t54)) % 0.46/0.64 (define @t56 () (tptp.sdtasasdt0 @t1 @t5)) % 0.46/0.64 (define @t57 () (tptp.sdtasasdt0 @t1 @t1)) % 0.46/0.64 (define @t58 () (tptp.aVector0 tptp.xt)) % 0.46/0.64 (define @t59 () (tptp.aVector0 tptp.xs)) % 0.46/0.64 (define @t60 () (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t56 @t56) (tptp.sdtasdt0 @t57 (tptp.sdtasasdt0 @t5 @t5)))) % 0.46/0.64 (define @t61 () (tptp.aDimensionOf0 tptp.xs)) % 0.46/0.64 (define @t62 () (tptp.iLess0 @t40 @t61)) % 0.46/0.64 (define @t63 () (=> @t62 @t60)) % 0.46/0.64 (define @t64 () (=> @t50 @t63)) % 0.46/0.64 (define @t65 () (forall @t11 (=> @t53 @t64))) % 0.46/0.64 (define @t66 () (tptp.aDimensionOf0 tptp.xt)) % 0.46/0.64 (define @t67 () (= @t61 @t66)) % 0.46/0.64 (define @t68 () (tptp.sziznziztdt0 tptp.xs)) % 0.46/0.64 (define @t69 () (tptp.aDimensionOf0 tptp.xp)) % 0.46/0.64 (define @t70 () (tptp.szszuzczcdt0 @t69)) % 0.46/0.64 (define @t71 () (tptp.aVector0 tptp.xp)) % 0.46/0.64 (define @t72 () (tptp.sziznziztdt0 tptp.xt)) % 0.46/0.64 (define @t73 () (tptp.aDimensionOf0 tptp.xq)) % 0.46/0.64 (define @t74 () (tptp.aVector0 tptp.xq)) % 0.46/0.64 (define @t75 () (tptp.sdtasasdt0 tptp.xp tptp.xp)) % 0.46/0.64 (define @t76 () (tptp.sdtasasdt0 tptp.xq tptp.xq)) % 0.46/0.64 (define @t77 () (tptp.sdtasasdt0 tptp.xp tptp.xq)) % 0.46/0.64 (define @t78 () (tptp.sdtasdt0 @t75 @t76)) % 0.46/0.64 (define @t79 () (tptp.sdtasdt0 @t77 @t77)) % 0.46/0.64 (define @t80 () (tptp.sdtlseqdt0 @t79 @t78)) % 0.46/0.64 (define @t81 () (not @t62)) % 0.46/0.64 (define @t82 () (not @t50)) % 0.46/0.64 (define @t83 () (not @t44)) % 0.46/0.64 (define @t84 () (not @t39)) % 0.46/0.64 (define @t85 () (or @t82 @t81 @t60)) % 0.46/0.64 (define @t86 () (or @t84 @t83)) % 0.46/0.64 (define @t87 () (not @t53)) % 0.46/0.64 (define @t88 () (tptp.aDimensionOf0 @t72)) % 0.46/0.64 (define @t89 () (= tptp.sz00 @t43)) % 0.46/0.64 (define @t90 () (or @t82 @t89 @t47)) % 0.46/0.64 (define @t91 () (not @t89)) % 0.46/0.64 (define @t92 () (and @t50 @t91)) % 0.46/0.64 (define @t93 () (=> @t92 @t47)) % 0.46/0.64 (define @t94 () (= tptp.sz00 @t66)) % 0.46/0.64 (define @t95 () (= (tptp.aDimensionOf0 @t68) @t88)) % 0.46/0.64 (define @t96 () (not @t67)) % 0.46/0.64 (define @t97 () (not @t58)) % 0.46/0.64 (define @t98 () (not @t59)) % 0.46/0.64 (define @t99 () (or @t98 @t97 @t96 @t94 @t95)) % 0.46/0.64 (define @t100 () (tptp.aNaturalNumber0 @t69)) % 0.46/0.64 (define @t101 () (not @t71)) % 0.46/0.64 (define @t102 () (or @t101 @t100)) % 0.46/0.64 (define @t103 () (@list false false)) % 0.46/0.64 (define @t104 () (tptp.iLess0 @t69 @t70)) % 0.46/0.64 (define @t105 () (not @t100)) % 0.46/0.64 (define @t106 () (or @t105 @t104)) % 0.46/0.64 (define @t107 () (tptp.iLess0 @t69 @t61)) % 0.46/0.64 (define @t108 () (not @t107)) % 0.46/0.64 (define @t109 () (= @t69 @t73)) % 0.46/0.64 (define @t110 () (not @t109)) % 0.46/0.64 (define @t111 () (not @t74)) % 0.46/0.64 (define @t112 () (or @t101 @t111 @t110 @t108 @t80)) % 0.46/0.64 (assume @p1 (forall @t3 (=> @t2 true))) % 0.46/0.64 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.46/0.64 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.46/0.64 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.46/0.64 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.46/0.64 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.46/0.64 (assume @p7 @t13) % 0.46/0.64 (assume @p8 (forall @t3 (=> @t14 true))) % 0.46/0.64 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.46/0.64 (assume @p10 (forall @t11 (=> @t17 (tptp.aScalar0 @t15)))) % 0.46/0.64 (assume @p11 (forall @t11 (=> @t17 (tptp.aScalar0 @t18)))) % 0.46/0.64 (assume @p12 (forall @t3 (=> @t14 (tptp.aScalar0 @t19)))) % 0.46/0.64 (assume @p13 (forall @t3 (=> @t14 (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))))) % 0.46/0.64 (assume @p14 (forall @t25 (=> @t24 (and (= (tptp.sdtpldt0 @t15 @t20) (tptp.sdtpldt0 @t1 @t22)) (= @t15 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t18 @t20) (tptp.sdtasdt0 @t1 @t21)) (= @t18 (tptp.sdtasdt0 @t5 @t1)))))) % 0.46/0.64 (assume @p15 (forall @t25 (=> @t24 (and (= (tptp.sdtasdt0 @t1 @t22) (tptp.sdtpldt0 @t18 @t26)) (= (tptp.sdtasdt0 @t15 @t20) (tptp.sdtpldt0 @t26 @t21)))))) % 0.46/0.64 (assume @p16 (forall @t30 (=> @t29 (= (tptp.sdtasdt0 @t15 (tptp.sdtpldt0 @t20 @t27)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t26 (tptp.sdtasdt0 @t1 @t27)) (tptp.sdtpldt0 @t21 @t28)))))) % 0.46/0.64 (assume @p17 (forall @t11 (=> @t17 (and (= (tptp.sdtasdt0 @t1 @t32) @t31) (= (tptp.sdtasdt0 @t19 @t5) @t31))))) % 0.46/0.64 (assume @p18 (forall @t11 (=> @t17 (= (tptp.sdtasdt0 @t19 @t32) @t18)))) % 0.46/0.64 (assume @p19 (forall @t11 (=> @t17 (=> @t33 true)))) % 0.46/0.64 (assume @p20 (forall @t3 (=> @t14 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.46/0.64 (assume @p21 (forall @t11 (=> @t17 (=> (and @t33 @t34) @t9)))) % 0.46/0.64 (assume @p22 (forall @t25 (=> @t24 (=> (and @t33 (tptp.sdtlseqdt0 @t5 @t20)) (tptp.sdtlseqdt0 @t1 @t20))))) % 0.46/0.64 (assume @p23 (forall @t30 (=> @t29 (=> (and @t33 @t35) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t20) (tptp.sdtpldt0 @t5 @t27)))))) % 0.46/0.64 (assume @p24 (forall @t30 (=> @t29 (=> (and @t33 (tptp.sdtlseqdt0 tptp.sz0z00 @t20) @t35) (tptp.sdtlseqdt0 @t26 @t28))))) % 0.46/0.64 (assume @p25 (forall @t11 (=> @t17 (or @t33 @t34)))) % 0.46/0.64 (assume @p26 (forall @t11 (=> @t17 (=> (and @t37 @t36) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t15) (tptp.sdtlseqdt0 tptp.sz0z00 @t18)))))) % 0.46/0.64 (assume @p27 (forall @t3 (=> @t14 (tptp.sdtlseqdt0 tptp.sz0z00 @t38)))) % 0.46/0.64 (assume @p28 (forall @t11 (=> @t17 (=> (and @t37 @t36 (= @t38 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.46/0.64 (assume @p29 (forall @t3 (=> @t39 true))) % 0.46/0.64 (assume @p30 @t42) % 0.46/0.64 (assume @p31 (forall @t11 (=> (and @t39 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.46/0.64 (assume @p32 (forall @t3 (=> @t39 (=> (not (= @t40 tptp.sz00)) (forall @t8 (= (= @t5 @t45) (and @t44 (= (tptp.szszuzczcdt0 @t43) @t40) (forall (@list @t20) (=> (tptp.aNaturalNumber0 @t20) (= (tptp.sdtlbdtrb0 @t5 @t20) (tptp.sdtlbdtrb0 @t1 @t20))))))))))) % 0.46/0.64 (assume @p33 @t55) % 0.46/0.64 (assume @p34 (forall @t11 (=> @t53 (=> @t50 (tptp.aScalar0 @t56))))) % 0.46/0.64 (assume @p35 (forall @t11 (=> @t53 (=> (and @t50 @t48) (= @t56 tptp.sz0z00))))) % 0.46/0.64 (assume @p36 (forall @t11 (=> @t53 (=> @t51 (= @t56 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t45 @t46) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t40) (tptp.sdtlbdtrb0 @t5 @t43)))))))) % 0.46/0.64 (assume @p37 (forall @t3 (=> @t39 (tptp.sdtlseqdt0 tptp.sz0z00 @t57)))) % 0.46/0.64 (assume @p38 (and @t59 @t58)) % 0.46/0.64 (assume @p39 @t65) % 0.46/0.64 (assume @p40 @t67) % 0.46/0.64 (assume @p41 (not (= @t61 tptp.sz00))) % 0.46/0.64 (assume @p42 (and @t71 (= @t70 @t61) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp @t68))) % 0.46/0.64 (assume @p43 (and @t74 (= (tptp.szszuzczcdt0 @t73) @t66) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq @t72))) % 0.46/0.64 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t61)))) % 0.46/0.64 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t66)))) % 0.46/0.64 (assume @p46 (and (tptp.aScalar0 tptp.xC) (= tptp.xC @t75))) % 0.46/0.64 (assume @p47 (and (tptp.aScalar0 tptp.xD) (= tptp.xD @t76))) % 0.46/0.64 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE @t77))) % 0.46/0.64 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) % 0.46/0.64 (assume @p50 (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) % 0.46/0.64 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 0.46/0.64 (assume @p52 (and (tptp.aScalar0 tptp.xR) (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) % 0.46/0.64 (assume @p53 (and (tptp.aScalar0 tptp.xP) (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 0.46/0.64 (assume @p54 (and (tptp.aScalar0 tptp.xS) (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 0.46/0.64 (assume @p55 (and (tptp.aScalar0 tptp.xN) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) % 0.46/0.64 (assume @p56 (not (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD)))) % 0.46/0.64 (assume @p57 true) % 0.46/0.64 (step @p58 :rule and_elim :premises (@p42) :args (0)) % 0.46/0.64 (step @p59 :rule and_elim :premises (@p43) :args (0)) % 0.46/0.64 (step @p60 :rule false_intro :premises (@p56)) % 0.46/0.64 (step @p61 :rule and_elim :premises (@p47) :args (1)) % 0.46/0.64 (step @p62 :rule symm :premises (@p61)) % 0.46/0.64 (step @p63 :rule and_elim :premises (@p46) :args (1)) % 0.46/0.64 (step @p64 :rule symm :premises (@p63)) % 0.46/0.64 (step @p65 :rule cong :premises (@p64 @p62) :args (@t78)) % 0.46/0.64 (step @p66 :rule and_elim :premises (@p48) :args (1)) % 0.46/0.64 (step @p67 :rule symm :premises (@p66)) % 0.46/0.64 (step @p68 :rule cong :premises (@p67 @p67) :args (@t79)) % 0.46/0.64 (step @p69 :rule cong :premises (@p68 @p65) :args (@t80)) % 0.46/0.64 (step @p70 :rule trans :premises (@p69 @p60)) % 0.46/0.64 (step @p71 :rule false_elim :premises (@p70)) % 0.46/0.64 (step @p72 :rule aci_norm :args ((= (or @t86 @t85) (or @t84 @t83 @t82 @t81 @t60)))) % 0.46/0.64 (step @p73 :rule aci_norm :args ((= (or @t82 (or @t81 @t60)) @t85))) % 0.46/0.64 (step @p74 :rule bool-impl-elim :args (@t62 @t60)) % 0.46/0.64 (step @p75 :rule refl :args (@t82)) % 0.46/0.64 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t82 @t63))) % 0.46/0.64 (step @p77 :rule trans :premises (@p76 @p73)) % 0.46/0.64 (step @p78 :rule bool-impl-elim :args (@t50 @t63)) % 0.46/0.64 (step @p79 :rule trans :premises (@p78 @p77)) % 0.46/0.64 (step @p80 :rule bool-and-de-morgan :args (@t39 @t44 true)) % 0.46/0.64 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t87 @t64))) % 0.46/0.64 (step @p82 :rule trans :premises (@p81 @p72)) % 0.46/0.64 (step @p83 :rule bool-impl-elim :args (@t53 @t64)) % 0.46/0.64 (step @p84 :rule trans :premises (@p83 @p82)) % 0.46/0.64 (step @p85 :rule cong :premises (@p84) :args (@t65)) % 0.46/0.64 (step @p86 :rule eq_resolve :premises (@p39 @p85)) % 0.46/0.64 (step @p87 :rule instantiate :premises (@p86) :args ((@list tptp.xp tptp.xq))) % 0.46/0.64 (step @p88 :rule and_elim :premises (@p43) :args (3)) % 0.46/0.64 (step @p89 :rule symm :premises (@p88)) % 0.46/0.64 (step @p90 :rule cong :premises (@p89) :args (@t88)) % 0.46/0.64 (step @p91 :rule aci_norm :args ((= (or @t86 @t90) (or @t84 @t83 @t82 @t89 @t47)))) % 0.46/0.64 (step @p92 :rule aci_norm :args ((= (or (or @t82 @t89) @t47) @t90))) % 0.46/0.64 (step @p93 :rule refl :args (@t47)) % 0.46/0.64 (step @p94 :rule bool-double-not-elim :args (@t89)) % 0.46/0.64 (step @p95 :rule nary_cong :premises (@p75 @p94) :args ((or @t82 (not @t91)))) % 0.46/0.64 (step @p96 :rule bool-and-de-morgan :args (@t50 @t91 true)) % 0.46/0.64 (step @p97 :rule trans :premises (@p96 @p95)) % 0.46/0.64 (step @p98 :rule nary_cong :premises (@p97 @p93) :args ((or (not @t92) @t47))) % 0.46/0.64 (step @p99 :rule trans :premises (@p98 @p92)) % 0.46/0.64 (step @p100 :rule bool-impl-elim :args (@t92 @t47)) % 0.46/0.64 (step @p101 :rule trans :premises (@p100 @p99)) % 0.46/0.64 (step @p102 :rule nary_cong :premises (@p80 @p101) :args ((or @t87 @t93))) % 0.46/0.64 (step @p103 :rule trans :premises (@p102 @p91)) % 0.46/0.64 (step @p104 :rule bool-impl-elim :args (@t53 @t93)) % 0.46/0.64 (step @p105 :rule trans :premises (@p104 @p103)) % 0.46/0.64 (step @p106 :rule cong :premises (@p105) :args ((forall @t11 (=> @t53 @t93)))) % 0.46/0.64 (step @p107 :rule refl :args (@t47)) % 0.46/0.64 (step @p108 :rule eq-symm :args (@t43 tptp.sz00)) % 0.46/0.64 (step @p109 :rule cong :premises (@p108) :args (@t49)) % 0.46/0.64 (step @p110 :rule refl :args (@t50)) % 0.46/0.64 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t51)) % 0.46/0.64 (step @p112 :rule cong :premises (@p111 @p107) :args (@t52)) % 0.46/0.64 (step @p113 :rule refl :args (@t53)) % 0.46/0.64 (step @p114 :rule cong :premises (@p113 @p112) :args (@t54)) % 0.46/0.64 (step @p115 :rule cong :premises (@p114) :args (@t55)) % 0.46/0.64 (step @p116 :rule trans :premises (@p115 @p106)) % 0.46/0.64 (step @p117 :rule eq_resolve :premises (@p33 @p116)) % 0.46/0.64 (step @p118 :rule instantiate :premises (@p117) :args ((@list tptp.xs tptp.xt))) % 0.46/0.64 (step @p119 :rule symm :premises (@p41)) % 0.46/0.64 (step @p120 :rule false_intro :premises (@p119)) % 0.46/0.64 (step @p121 :rule symm :premises (@p40)) % 0.46/0.64 (step @p122 :rule refl :args (tptp.sz00)) % 0.46/0.64 (step @p123 :rule cong :premises (@p122 @p121) :args (@t94)) % 0.46/0.64 (step @p124 :rule trans :premises (@p123 @p120)) % 0.46/0.64 (step @p125 :rule false_elim :premises (@p124)) % 0.46/0.64 (step @p126 :rule and_elim :premises (@p38) :args (1)) % 0.46/0.64 (step @p127 :rule and_elim :premises (@p38) :args (0)) % 0.46/0.64 (step @p128 :rule cnf_or_pos :args (@t99)) % 0.46/0.64 (step @p129 :rule reordering :premises (@p128) :args ((or @t98 @t97 @t96 @t94 @t95 (not @t99)))) % 0.46/0.64 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p126 @p40 @p125 @p118) :args (@t95 (@list false false false true false) (@list @t59 @t58 @t67 @t94 @t99))) % 0.46/0.64 (step @p131 :rule and_elim :premises (@p42) :args (3)) % 0.46/0.64 (step @p132 :rule cong :premises (@p131) :args (@t69)) % 0.46/0.64 (step @p133 :rule trans :premises (@p132 @p130 @p90)) % 0.46/0.64 (step @p134 :rule bool-impl-elim :args (@t2 @t12)) % 0.46/0.64 (step @p135 :rule cong :premises (@p134) :args (@t13)) % 0.46/0.64 (step @p136 :rule eq_resolve :premises (@p7 @p135)) % 0.46/0.64 (step @p137 :rule instantiate :premises (@p136) :args ((@list @t69))) % 0.46/0.64 (step @p138 :rule bool-impl-elim :args (@t39 @t41)) % 0.46/0.64 (step @p139 :rule cong :premises (@p138) :args (@t42)) % 0.46/0.64 (step @p140 :rule eq_resolve :premises (@p30 @p139)) % 0.46/0.64 (step @p141 :rule instantiate :premises (@p140) :args ((@list tptp.xp))) % 0.46/0.64 (step @p142 :rule cnf_or_pos :args (@t102)) % 0.46/0.64 (step @p143 :rule reordering :premises (@p142) :args ((or @t101 @t100 (not @t102)))) % 0.46/0.64 (step @p144 :rule chain_m_resolution :premises (@p143 @p58 @p141) :args (@t100 @t103 (@list @t71 @t102))) % 0.46/0.64 (step @p145 :rule cnf_or_pos :args (@t106)) % 0.46/0.64 (step @p146 :rule reordering :premises (@p145) :args ((or @t105 @t104 (not @t106)))) % 0.46/0.64 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p137) :args (@t104 @t103 (@list @t100 @t106))) % 0.46/0.64 (step @p148 :rule true_intro :premises (@p147)) % 0.46/0.64 (step @p149 :rule and_elim :premises (@p42) :args (1)) % 0.46/0.64 (step @p150 :rule symm :premises (@p149)) % 0.46/0.64 (step @p151 :rule refl :args (@t69)) % 0.46/0.64 (step @p152 :rule cong :premises (@p151 @p150) :args (@t107)) % 0.46/0.64 (step @p153 :rule trans :premises (@p152 @p148)) % 0.46/0.64 (step @p154 :rule true_elim :premises (@p153)) % 0.46/0.64 (step @p155 :rule cnf_or_pos :args (@t112)) % 0.46/0.64 (step @p156 :rule reordering :premises (@p155) :args ((or @t101 @t111 @t110 @t108 @t80 (not @t112)))) % 0.46/0.64 (step @p157 false :rule chain_m_resolution :premises (@p156 @p154 @p133 @p87 @p71 @p59 @p58) :args (false (@list false false false true false false) (@list @t107 @t109 @t112 @t80 @t74 @t71))) % 0.46/0.64 ) % 0.46/0.64 % SZS output end Proof % 0.46/0.64 % cvc5 exiting %------------------------------------------------------------------------------