%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG069+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 08:45:34 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG069+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 % 0.18/0.34 % Computer : n023.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 14:06:28 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.xN $$unsorted) % 0.45/0.63 (declare-const tptp.xS $$unsorted) % 0.45/0.63 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.sz00 $$unsorted) % 0.45/0.63 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.xp $$unsorted) % 0.45/0.63 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.xG $$unsorted) % 0.45/0.63 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.xF $$unsorted) % 0.45/0.63 (declare-const tptp.sz0z00 $$unsorted) % 0.45/0.63 (declare-const tptp.xC $$unsorted) % 0.45/0.63 (declare-const tptp.xR $$unsorted) % 0.45/0.63 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.xs $$unsorted) % 0.45/0.63 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.xq $$unsorted) % 0.45/0.63 (declare-const tptp.xP $$unsorted) % 0.45/0.63 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.xA $$unsorted) % 0.45/0.63 (declare-const tptp.xB $$unsorted) % 0.45/0.63 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.xt $$unsorted) % 0.45/0.63 (declare-const tptp.xD $$unsorted) % 0.45/0.63 (declare-const tptp.xE $$unsorted) % 0.45/0.63 (declare-const tptp.xH $$unsorted) % 0.45/0.63 (define @t1 () (@var "W0" $$unsorted)) % 0.45/0.63 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.45/0.63 (define @t3 () (@list @t1)) % 0.45/0.63 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.45/0.63 (define @t5 () (@var "W1" $$unsorted)) % 0.45/0.63 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.45/0.63 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.45/0.63 (define @t8 () (@list @t5)) % 0.45/0.63 (define @t9 () (= @t1 @t5)) % 0.45/0.63 (define @t10 () (and @t2 @t7)) % 0.45/0.63 (define @t11 () (@list @t1 @t5)) % 0.45/0.63 (define @t12 () (tptp.aScalar0 @t1)) % 0.45/0.63 (define @t13 () (tptp.sdtpldt0 @t1 @t5)) % 0.45/0.63 (define @t14 () (tptp.aScalar0 @t5)) % 0.45/0.63 (define @t15 () (and @t12 @t14)) % 0.45/0.63 (define @t16 () (tptp.sdtasdt0 @t1 @t5)) % 0.45/0.63 (define @t17 () (tptp.smndt0 @t1)) % 0.45/0.63 (define @t18 () (@var "W2" $$unsorted)) % 0.45/0.63 (define @t19 () (tptp.sdtasdt0 @t5 @t18)) % 0.45/0.63 (define @t20 () (tptp.sdtpldt0 @t5 @t18)) % 0.45/0.63 (define @t21 () (tptp.aScalar0 @t18)) % 0.45/0.63 (define @t22 () (and @t12 @t14 @t21)) % 0.45/0.63 (define @t23 () (@list @t1 @t5 @t18)) % 0.45/0.63 (define @t24 () (tptp.sdtasdt0 @t1 @t18)) % 0.45/0.63 (define @t25 () (@var "W3" $$unsorted)) % 0.45/0.63 (define @t26 () (tptp.sdtasdt0 @t5 @t25)) % 0.45/0.63 (define @t27 () (= (tptp.sdtasdt0 @t13 (tptp.sdtpldt0 @t18 @t25)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t24 (tptp.sdtasdt0 @t1 @t25)) (tptp.sdtpldt0 @t19 @t26)))) % 0.45/0.63 (define @t28 () (tptp.aScalar0 @t25)) % 0.45/0.63 (define @t29 () (and @t12 @t14 @t21 @t28)) % 0.45/0.63 (define @t30 () (@list @t1 @t5 @t18 @t25)) % 0.45/0.63 (define @t31 () (forall @t30 (=> @t29 @t27))) % 0.45/0.63 (define @t32 () (tptp.smndt0 @t16)) % 0.45/0.63 (define @t33 () (tptp.smndt0 @t5)) % 0.45/0.63 (define @t34 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.45/0.63 (define @t35 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.45/0.63 (define @t36 () (tptp.sdtlseqdt0 @t18 @t25)) % 0.45/0.63 (define @t37 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.45/0.63 (define @t38 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.45/0.63 (define @t39 () (tptp.sdtasdt0 @t1 @t1)) % 0.45/0.63 (define @t40 () (tptp.aVector0 @t1)) % 0.45/0.63 (define @t41 () (tptp.aDimensionOf0 @t1)) % 0.45/0.63 (define @t42 () (tptp.aDimensionOf0 @t5)) % 0.45/0.63 (define @t43 () (tptp.aVector0 @t5)) % 0.45/0.63 (define @t44 () (tptp.sziznziztdt0 @t1)) % 0.45/0.63 (define @t45 () (tptp.sziznziztdt0 @t5)) % 0.45/0.63 (define @t46 () (= @t42 tptp.sz00)) % 0.45/0.63 (define @t47 () (= @t41 @t42)) % 0.45/0.63 (define @t48 () (and @t47 (not @t46))) % 0.45/0.63 (define @t49 () (and @t40 @t43)) % 0.45/0.63 (define @t50 () (tptp.sdtasasdt0 @t1 @t5)) % 0.45/0.63 (define @t51 () (tptp.sdtasasdt0 @t1 @t1)) % 0.45/0.63 (define @t52 () (tptp.aDimensionOf0 tptp.xs)) % 0.45/0.63 (define @t53 () (tptp.aDimensionOf0 tptp.xt)) % 0.45/0.63 (define @t54 () (tptp.aScalar0 tptp.xR)) % 0.45/0.63 (define @t55 () (tptp.aScalar0 tptp.xP)) % 0.45/0.63 (define @t56 () (tptp.aScalar0 tptp.xS)) % 0.45/0.63 (define @t57 () (tptp.sdtasdt0 tptp.xR tptp.xS)) % 0.45/0.63 (define @t58 () (tptp.sdtasdt0 tptp.xP tptp.xP)) % 0.45/0.63 (define @t59 () (tptp.sdtasdt0 tptp.xS tptp.xS)) % 0.45/0.63 (define @t60 () (tptp.sdtasdt0 tptp.xR tptp.xR)) % 0.45/0.63 (define @t61 () (tptp.sdtpldt0 @t60 @t59)) % 0.45/0.63 (define @t62 () (tptp.sdtpldt0 @t58 @t58)) % 0.45/0.63 (define @t63 () (tptp.sdtpldt0 @t60 tptp.xN)) % 0.45/0.63 (define @t64 () (tptp.sdtpldt0 (tptp.sdtpldt0 @t60 @t57) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xS tptp.xR) @t59))) % 0.45/0.63 (define @t65 () (tptp.sdtpldt0 @t62 @t62)) % 0.45/0.63 (define @t66 () (tptp.sdtlseqdt0 @t65 @t64)) % 0.45/0.63 (define @t67 () (tptp.sdtpldt0 tptp.xR tptp.xS)) % 0.45/0.63 (define @t68 () (tptp.sdtasdt0 @t67 @t67)) % 0.45/0.63 (define @t69 () (tptp.sdtpldt0 tptp.xP tptp.xP)) % 0.45/0.63 (define @t70 () (tptp.sdtasdt0 @t69 @t69)) % 0.45/0.63 (define @t71 () (not @t28)) % 0.45/0.63 (define @t72 () (not @t21)) % 0.45/0.63 (define @t73 () (not @t14)) % 0.45/0.63 (define @t74 () (not @t12)) % 0.45/0.63 (define @t75 () (or @t74 @t73 @t72 @t71 @t27)) % 0.45/0.63 (define @t76 () (or @t74 @t73 @t72 @t71)) % 0.45/0.63 (define @t77 () (not @t56)) % 0.45/0.63 (define @t78 () (not @t54)) % 0.45/0.63 (define @t79 () (or @t78 @t77 @t78 @t77 (= @t68 @t64))) % 0.45/0.63 (define @t80 () (forall @t30 @t75)) % 0.45/0.63 (define @t81 () (= @t64 @t68)) % 0.45/0.63 (define @t82 () (or @t78 @t77 @t78 @t77 @t81)) % 0.45/0.63 (define @t83 () (@list false)) % 0.45/0.63 (define @t84 () (@list @t80)) % 0.45/0.63 (define @t85 () (not @t55)) % 0.45/0.63 (define @t86 () (or @t85 @t85 @t85 @t85 (= @t70 @t65))) % 0.45/0.63 (define @t87 () (= @t65 @t70)) % 0.45/0.63 (define @t88 () (or @t85 @t85 @t85 @t85 @t87)) % 0.45/0.63 (assume @p1 (forall @t3 (=> @t2 true))) % 0.45/0.63 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.45/0.63 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.45/0.63 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.45/0.63 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.45/0.63 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.45/0.63 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.45/0.63 (assume @p8 (forall @t3 (=> @t12 true))) % 0.45/0.63 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.45/0.63 (assume @p10 (forall @t11 (=> @t15 (tptp.aScalar0 @t13)))) % 0.45/0.63 (assume @p11 (forall @t11 (=> @t15 (tptp.aScalar0 @t16)))) % 0.45/0.63 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t17)))) % 0.45/0.63 (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 @t17) tptp.sz0z00) (= (tptp.sdtpldt0 @t17 @t1) tptp.sz0z00) (= (tptp.smndt0 @t17) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) % 0.45/0.63 (assume @p14 (forall @t23 (=> @t22 (and (= (tptp.sdtpldt0 @t13 @t18) (tptp.sdtpldt0 @t1 @t20)) (= @t13 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t16 @t18) (tptp.sdtasdt0 @t1 @t19)) (= @t16 (tptp.sdtasdt0 @t5 @t1)))))) % 0.45/0.63 (assume @p15 (forall @t23 (=> @t22 (and (= (tptp.sdtasdt0 @t1 @t20) (tptp.sdtpldt0 @t16 @t24)) (= (tptp.sdtasdt0 @t13 @t18) (tptp.sdtpldt0 @t24 @t19)))))) % 0.45/0.63 (assume @p16 @t31) % 0.45/0.63 (assume @p17 (forall @t11 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t33) @t32) (= (tptp.sdtasdt0 @t17 @t5) @t32))))) % 0.45/0.63 (assume @p18 (forall @t11 (=> @t15 (= (tptp.sdtasdt0 @t17 @t33) @t16)))) % 0.45/0.63 (assume @p19 (forall @t11 (=> @t15 (=> @t34 true)))) % 0.45/0.63 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.45/0.63 (assume @p21 (forall @t11 (=> @t15 (=> (and @t34 @t35) @t9)))) % 0.45/0.63 (assume @p22 (forall @t23 (=> @t22 (=> (and @t34 (tptp.sdtlseqdt0 @t5 @t18)) (tptp.sdtlseqdt0 @t1 @t18))))) % 0.45/0.63 (assume @p23 (forall @t30 (=> @t29 (=> (and @t34 @t36) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t18) (tptp.sdtpldt0 @t5 @t25)))))) % 0.45/0.63 (assume @p24 (forall @t30 (=> @t29 (=> (and @t34 (tptp.sdtlseqdt0 tptp.sz0z00 @t18) @t36) (tptp.sdtlseqdt0 @t24 @t26))))) % 0.45/0.63 (assume @p25 (forall @t11 (=> @t15 (or @t34 @t35)))) % 0.45/0.63 (assume @p26 (forall @t11 (=> @t15 (=> (and @t38 @t37) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t13) (tptp.sdtlseqdt0 tptp.sz0z00 @t16)))))) % 0.45/0.63 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t39)))) % 0.45/0.63 (assume @p28 (forall @t11 (=> @t15 (=> (and @t38 @t37 (= @t39 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.45/0.63 (assume @p29 (forall @t3 (=> @t40 true))) % 0.45/0.63 (assume @p30 (forall @t3 (=> @t40 (tptp.aNaturalNumber0 @t41)))) % 0.45/0.63 (assume @p31 (forall @t11 (=> (and @t40 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.45/0.63 (assume @p32 (forall @t3 (=> @t40 (=> (not (= @t41 tptp.sz00)) (forall @t8 (= (= @t5 @t44) (and @t43 (= (tptp.szszuzczcdt0 @t42) @t41) (forall (@list @t18) (=> (tptp.aNaturalNumber0 @t18) (= (tptp.sdtlbdtrb0 @t5 @t18) (tptp.sdtlbdtrb0 @t1 @t18))))))))))) % 0.45/0.63 (assume @p33 (forall @t11 (=> @t49 (=> @t48 (= (tptp.aDimensionOf0 @t44) (tptp.aDimensionOf0 @t45)))))) % 0.45/0.63 (assume @p34 (forall @t11 (=> @t49 (=> @t47 (tptp.aScalar0 @t50))))) % 0.45/0.63 (assume @p35 (forall @t11 (=> @t49 (=> (and @t47 @t46) (= @t50 tptp.sz0z00))))) % 0.45/0.63 (assume @p36 (forall @t11 (=> @t49 (=> @t48 (= @t50 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t44 @t45) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t41) (tptp.sdtlbdtrb0 @t5 @t42)))))))) % 0.45/0.63 (assume @p37 (forall @t3 (=> @t40 (tptp.sdtlseqdt0 tptp.sz0z00 @t51)))) % 0.45/0.63 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 0.45/0.63 (assume @p39 (forall @t11 (=> @t49 (=> @t47 (=> (tptp.iLess0 @t41 @t52) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t50 @t50) (tptp.sdtasdt0 @t51 (tptp.sdtasasdt0 @t5 @t5)))))))) % 0.45/0.63 (assume @p40 (= @t52 @t53)) % 0.45/0.63 (assume @p41 (not (= @t52 tptp.sz00))) % 0.45/0.63 (assume @p42 (and (tptp.aVector0 tptp.xp) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xp)) @t52) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xp @t1) (tptp.sdtlbdtrb0 tptp.xs @t1)))) (= tptp.xp (tptp.sziznziztdt0 tptp.xs)))) % 0.45/0.63 (assume @p43 (and (tptp.aVector0 tptp.xq) (= (tptp.szszuzczcdt0 (tptp.aDimensionOf0 tptp.xq)) @t53) (forall @t3 (=> @t2 (= (tptp.sdtlbdtrb0 tptp.xq @t1) (tptp.sdtlbdtrb0 tptp.xt @t1)))) (= tptp.xq (tptp.sziznziztdt0 tptp.xt)))) % 0.45/0.63 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t52)))) % 0.45/0.63 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t53)))) % 0.45/0.63 (assume @p46 (and (tptp.aScalar0 tptp.xC) (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) % 0.45/0.63 (assume @p47 (and (tptp.aScalar0 tptp.xD) (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) % 0.45/0.63 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 0.45/0.63 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) % 0.45/0.63 (assume @p50 (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) % 0.45/0.63 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 0.45/0.63 (assume @p52 (and @t54 (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) % 0.45/0.63 (assume @p53 (and @t55 (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 0.45/0.63 (assume @p54 (and @t56 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 0.45/0.63 (assume @p55 (and (tptp.aScalar0 tptp.xN) (= tptp.xN @t57))) % 0.45/0.63 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 0.45/0.63 (assume @p57 (tptp.sdtlseqdt0 @t58 tptp.xN)) % 0.45/0.63 (assume @p58 (tptp.sdtlseqdt0 @t62 @t61)) % 0.45/0.63 (assume @p59 (tptp.sdtlseqdt0 (tptp.sdtpldt0 (tptp.sdtpldt0 @t62 @t58) @t58) (tptp.sdtpldt0 (tptp.sdtpldt0 @t61 tptp.xN) tptp.xN))) % 0.45/0.63 (assume @p60 (= (tptp.sdtpldt0 (tptp.sdtpldt0 @t63 @t59) tptp.xN) (tptp.sdtpldt0 @t63 (tptp.sdtpldt0 @t59 tptp.xN)))) % 0.45/0.63 (assume @p61 @t66) % 0.45/0.63 (assume @p62 (not (tptp.sdtlseqdt0 @t70 @t68))) % 0.45/0.63 (assume @p63 true) % 0.45/0.63 (step @p64 :rule evaluate :args ((= true false))) % 0.45/0.63 (step @p65 :rule false_intro :premises (@p62)) % 0.45/0.63 (step @p66 :rule aci_norm :args ((= (or @t76 @t27) @t75))) % 0.45/0.63 (step @p67 :rule refl :args (@t27)) % 0.45/0.63 (step @p68 :rule aci_norm :args ((= (or @t74 (or @t73 (or @t72 @t71))) @t76))) % 0.45/0.63 (step @p69 :rule bool-and-de-morgan :args (@t21 @t28 true)) % 0.45/0.63 (step @p70 :rule refl :args (@t73)) % 0.45/0.63 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t73 (not (and @t21 @t28))))) % 0.45/0.63 (step @p72 :rule bool-and-de-morgan :args (@t14 @t21 (and @t28))) % 0.45/0.63 (step @p73 :rule trans :premises (@p72 @p71)) % 0.45/0.63 (step @p74 :rule refl :args (@t74)) % 0.45/0.63 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t74 (not (and @t14 @t21 @t28))))) % 0.45/0.63 (step @p76 :rule bool-and-de-morgan :args (@t12 @t14 (and @t21 @t28))) % 0.45/0.63 (step @p77 :rule trans :premises (@p76 @p75)) % 0.45/0.63 (step @p78 :rule trans :premises (@p77 @p68)) % 0.45/0.63 (step @p79 :rule nary_cong :premises (@p78 @p67) :args ((or (not @t29) @t27))) % 0.45/0.63 (step @p80 :rule trans :premises (@p79 @p66)) % 0.45/0.63 (step @p81 :rule bool-impl-elim :args (@t29 @t27)) % 0.45/0.63 (step @p82 :rule trans :premises (@p81 @p80)) % 0.45/0.63 (step @p83 :rule cong :premises (@p82) :args (@t31)) % 0.45/0.63 (step @p84 :rule eq_resolve :premises (@p16 @p83)) % 0.45/0.63 (step @p85 :rule eq-symm :args (@t68 @t64)) % 0.45/0.64 (step @p86 :rule refl :args (@t77)) % 0.45/0.64 (step @p87 :rule refl :args (@t78)) % 0.45/0.64 (step @p88 :rule nary_cong :premises (@p87 @p86 @p87 @p86 @p85) :args (@t79)) % 0.45/0.64 (step @p89 :rule refl :args (@t80)) % 0.45/0.64 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t80 @t79))) % 0.45/0.64 (assume-push @p125 @t80) % 0.45/0.64 (step @p92 :rule instantiate :premises (@p84) :args ((@list tptp.xR tptp.xS tptp.xR tptp.xS))) % 0.45/0.64 (step-pop @p126 :rule scope :premises (@p92)) % 0.45/0.64 (step @p93 :rule process_scope :premises (@p126) :args (@t79)) % 0.45/0.64 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 0.45/0.64 (step @p96 :rule implies_elim :premises (@p95)) % 0.45/0.64 (step @p97 :rule chain_m_resolution :premises (@p96 @p84) :args (@t82 @t83 @t84)) % 0.45/0.64 (step @p98 :rule and_elim :premises (@p54) :args (0)) % 0.45/0.64 (step @p99 :rule and_elim :premises (@p52) :args (0)) % 0.45/0.64 (step @p100 :rule cnf_or_pos :args (@t82)) % 0.45/0.64 (step @p101 :rule factoring :premises (@p100)) % 0.45/0.64 (step @p102 :rule reordering :premises (@p101) :args ((or @t78 @t77 @t81 (not @t82)))) % 0.45/0.64 (step @p103 :rule chain_m_resolution :premises (@p102 @p99 @p98 @p97) :args (@t81 (@list false false false) (@list @t54 @t56 @t82))) % 0.45/0.64 (step @p104 :rule eq-symm :args (@t70 @t65)) % 0.45/0.64 (step @p105 :rule refl :args (@t85)) % 0.45/0.64 (step @p106 :rule nary_cong :premises (@p105 @p105 @p105 @p105 @p104) :args (@t86)) % 0.45/0.64 (step @p107 :rule cong :premises (@p89 @p106) :args ((=> @t80 @t86))) % 0.45/0.64 (assume-push @p127 @t80) % 0.45/0.64 (step @p109 :rule instantiate :premises (@p84) :args ((@list tptp.xP tptp.xP tptp.xP tptp.xP))) % 0.45/0.64 (step-pop @p128 :rule scope :premises (@p109)) % 0.45/0.64 (step @p110 :rule process_scope :premises (@p128) :args (@t86)) % 0.45/0.64 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 0.45/0.64 (step @p113 :rule implies_elim :premises (@p112)) % 0.45/0.64 (step @p114 :rule chain_m_resolution :premises (@p113 @p84) :args (@t88 @t83 @t84)) % 0.45/0.64 (step @p115 :rule and_elim :premises (@p53) :args (0)) % 0.45/0.64 (step @p116 :rule cnf_or_pos :args (@t88)) % 0.45/0.64 (step @p117 :rule factoring :premises (@p116)) % 0.45/0.64 (step @p118 :rule reordering :premises (@p117) :args ((or @t85 @t87 (not @t88)))) % 0.45/0.64 (step @p119 :rule chain_m_resolution :premises (@p118 @p115 @p114) :args (@t87 (@list false false) (@list @t55 @t88))) % 0.45/0.64 (step @p120 :rule cong :premises (@p119 @p103) :args (@t66)) % 0.45/0.64 (step @p121 :rule true_intro :premises (@p61)) % 0.45/0.64 (step @p122 :rule symm :premises (@p121)) % 0.45/0.64 (step @p123 :rule trans :premises (@p122 @p120 @p65)) % 0.45/0.64 (step @p124 false :rule eq_resolve :premises (@p123 @p64)) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.64 % cvc5 exiting %------------------------------------------------------------------------------