%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG072+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 : n012.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 08:45:35 AM UTC 2026 % Result : Theorem 0.14s 0.39s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : RNG072+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 14:05:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.14/0.39 % SZS status Theorem % 0.14/0.39 % SZS output start Proof % 0.14/0.39 ( % 0.14/0.39 (declare-sort $$unsorted 0) % 0.14/0.39 (declare-const tptp.xN $$unsorted) % 0.14/0.39 (declare-const tptp.xS $$unsorted) % 0.14/0.39 (declare-const tptp.aDimensionOf0 (-> $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.sz00 $$unsorted) % 0.14/0.39 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.xp $$unsorted) % 0.14/0.39 (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.xG $$unsorted) % 0.14/0.39 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.xF $$unsorted) % 0.14/0.39 (declare-const tptp.sz0z00 $$unsorted) % 0.14/0.39 (declare-const tptp.xC $$unsorted) % 0.14/0.39 (declare-const tptp.xR $$unsorted) % 0.14/0.39 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.xs $$unsorted) % 0.14/0.39 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.xq $$unsorted) % 0.14/0.39 (declare-const tptp.xP $$unsorted) % 0.14/0.39 (declare-const tptp.aVector0 (-> $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.xA $$unsorted) % 0.14/0.39 (declare-const tptp.xB $$unsorted) % 0.14/0.39 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.14/0.39 (declare-const tptp.sziznziztdt0 (-> $$unsorted $$unsorted)) % 0.14/0.39 (declare-const tptp.xt $$unsorted) % 0.14/0.39 (declare-const tptp.xD $$unsorted) % 0.14/0.39 (declare-const tptp.xE $$unsorted) % 0.14/0.39 (declare-const tptp.xH $$unsorted) % 0.14/0.39 (define @t1 () (@var "W0" $$unsorted)) % 0.14/0.39 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.14/0.39 (define @t3 () (@list @t1)) % 0.14/0.39 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.14/0.39 (define @t5 () (@var "W1" $$unsorted)) % 0.14/0.39 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.14/0.39 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.14/0.39 (define @t8 () (@list @t5)) % 0.14/0.39 (define @t9 () (= @t1 @t5)) % 0.14/0.39 (define @t10 () (and @t2 @t7)) % 0.14/0.39 (define @t11 () (@list @t1 @t5)) % 0.14/0.39 (define @t12 () (tptp.aScalar0 @t1)) % 0.14/0.39 (define @t13 () (tptp.sdtpldt0 @t1 @t5)) % 0.14/0.39 (define @t14 () (tptp.aScalar0 @t13)) % 0.14/0.39 (define @t15 () (tptp.aScalar0 @t5)) % 0.14/0.39 (define @t16 () (and @t12 @t15)) % 0.14/0.39 (define @t17 () (forall @t11 (=> @t16 @t14))) % 0.14/0.39 (define @t18 () (tptp.sdtasdt0 @t1 @t5)) % 0.14/0.39 (define @t19 () (tptp.smndt0 @t1)) % 0.14/0.39 (define @t20 () (@var "W2" $$unsorted)) % 0.14/0.39 (define @t21 () (tptp.sdtasdt0 @t5 @t20)) % 0.14/0.39 (define @t22 () (tptp.sdtpldt0 @t5 @t20)) % 0.14/0.39 (define @t23 () (tptp.aScalar0 @t20)) % 0.14/0.39 (define @t24 () (and @t12 @t15 @t23)) % 0.14/0.39 (define @t25 () (@list @t1 @t5 @t20)) % 0.14/0.39 (define @t26 () (tptp.sdtasdt0 @t1 @t20)) % 0.14/0.39 (define @t27 () (@var "W3" $$unsorted)) % 0.14/0.39 (define @t28 () (tptp.sdtasdt0 @t5 @t27)) % 0.14/0.39 (define @t29 () (tptp.aScalar0 @t27)) % 0.14/0.39 (define @t30 () (and @t12 @t15 @t23 @t29)) % 0.14/0.39 (define @t31 () (@list @t1 @t5 @t20 @t27)) % 0.14/0.39 (define @t32 () (tptp.smndt0 @t18)) % 0.14/0.39 (define @t33 () (tptp.smndt0 @t5)) % 0.14/0.39 (define @t34 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.14/0.39 (define @t35 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.14/0.39 (define @t36 () (tptp.sdtlseqdt0 @t20 @t27)) % 0.14/0.39 (define @t37 () (tptp.sdtlseqdt0 @t26 @t28)) % 0.14/0.39 (define @t38 () (tptp.sdtlseqdt0 tptp.sz0z00 @t20)) % 0.14/0.39 (define @t39 () (and @t34 @t38 @t36)) % 0.14/0.39 (define @t40 () (=> @t39 @t37)) % 0.14/0.39 (define @t41 () (forall @t31 (=> @t30 @t40))) % 0.14/0.39 (define @t42 () (tptp.sdtlseqdt0 tptp.sz0z00 @t5)) % 0.14/0.39 (define @t43 () (tptp.sdtlseqdt0 tptp.sz0z00 @t1)) % 0.14/0.39 (define @t44 () (tptp.sdtasdt0 @t1 @t1)) % 0.14/0.39 (define @t45 () (tptp.aVector0 @t1)) % 0.14/0.39 (define @t46 () (tptp.aDimensionOf0 @t1)) % 0.14/0.39 (define @t47 () (tptp.aDimensionOf0 @t5)) % 0.14/0.39 (define @t48 () (tptp.aVector0 @t5)) % 0.14/0.39 (define @t49 () (tptp.sziznziztdt0 @t1)) % 0.14/0.39 (define @t50 () (tptp.sziznziztdt0 @t5)) % 0.14/0.39 (define @t51 () (= @t47 tptp.sz00)) % 0.14/0.39 (define @t52 () (= @t46 @t47)) % 0.14/0.39 (define @t53 () (and @t52 (not @t51))) % 0.14/0.39 (define @t54 () (and @t45 @t48)) % 0.14/0.39 (define @t55 () (tptp.sdtasasdt0 @t1 @t5)) % 0.14/0.39 (define @t56 () (tptp.sdtasasdt0 @t1 @t1)) % 0.14/0.39 (define @t57 () (tptp.aDimensionOf0 tptp.xs)) % 0.14/0.39 (define @t58 () (tptp.aDimensionOf0 tptp.xt)) % 0.14/0.39 (define @t59 () (tptp.aScalar0 tptp.xR)) % 0.14/0.39 (define @t60 () (tptp.aScalar0 tptp.xP)) % 0.14/0.39 (define @t61 () (tptp.aScalar0 tptp.xS)) % 0.14/0.39 (define @t62 () (tptp.sdtasdt0 tptp.xP tptp.xP)) % 0.14/0.39 (define @t63 () (tptp.sdtpldt0 tptp.xR tptp.xS)) % 0.14/0.39 (define @t64 () (tptp.sdtasdt0 @t63 @t63)) % 0.14/0.39 (define @t65 () (tptp.sdtpldt0 tptp.xP tptp.xP)) % 0.14/0.39 (define @t66 () (tptp.sdtasdt0 @t65 @t65)) % 0.14/0.39 (define @t67 () (tptp.sdtlseqdt0 @t63 @t65)) % 0.14/0.39 (define @t68 () (tptp.sdtlseqdt0 tptp.sz0z00 @t63)) % 0.14/0.39 (define @t69 () (tptp.sdtlseqdt0 @t64 @t66)) % 0.14/0.39 (define @t70 () (not @t36)) % 0.14/0.39 (define @t71 () (not @t38)) % 0.14/0.39 (define @t72 () (not @t34)) % 0.14/0.39 (define @t73 () (not @t29)) % 0.14/0.39 (define @t74 () (not @t23)) % 0.14/0.39 (define @t75 () (not @t15)) % 0.14/0.39 (define @t76 () (not @t12)) % 0.14/0.39 (define @t77 () (or @t72 @t71 @t70 @t37)) % 0.14/0.39 (define @t78 () (or @t76 @t75 @t74 @t73)) % 0.14/0.39 (define @t79 () (or @t72 @t71 @t70)) % 0.14/0.39 (define @t80 () (tptp.aScalar0 @t63)) % 0.14/0.39 (define @t81 () (not @t61)) % 0.14/0.39 (define @t82 () (not @t59)) % 0.14/0.39 (define @t83 () (or @t82 @t81 @t80)) % 0.14/0.39 (define @t84 () (tptp.aScalar0 @t65)) % 0.14/0.39 (define @t85 () (not @t60)) % 0.14/0.39 (define @t86 () (or @t85 @t85 @t84)) % 0.14/0.39 (define @t87 () (not @t67)) % 0.14/0.39 (define @t88 () (not @t68)) % 0.14/0.39 (define @t89 () (not @t84)) % 0.14/0.39 (define @t90 () (not @t80)) % 0.14/0.39 (define @t91 () (or @t90 @t89 @t90 @t89 @t87 @t88 @t87 @t69)) % 0.14/0.39 (assume @p1 (forall @t3 (=> @t2 true))) % 0.14/0.39 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.14/0.39 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.14/0.39 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists @t8 (and @t7 (= @t1 @t6)))))) % 0.14/0.39 (assume @p5 (forall @t11 (=> @t10 (=> (= @t4 @t6) @t9)))) % 0.14/0.39 (assume @p6 (forall @t11 (=> @t10 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.14/0.39 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.14/0.39 (assume @p8 (forall @t3 (=> @t12 true))) % 0.14/0.39 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.14/0.39 (assume @p10 @t17) % 0.14/0.39 (assume @p11 (forall @t11 (=> @t16 (tptp.aScalar0 @t18)))) % 0.14/0.39 (assume @p12 (forall @t3 (=> @t12 (tptp.aScalar0 @t19)))) % 0.14/0.39 (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))))) % 0.14/0.39 (assume @p14 (forall @t25 (=> @t24 (and (= (tptp.sdtpldt0 @t13 @t20) (tptp.sdtpldt0 @t1 @t22)) (= @t13 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t18 @t20) (tptp.sdtasdt0 @t1 @t21)) (= @t18 (tptp.sdtasdt0 @t5 @t1)))))) % 0.14/0.39 (assume @p15 (forall @t25 (=> @t24 (and (= (tptp.sdtasdt0 @t1 @t22) (tptp.sdtpldt0 @t18 @t26)) (= (tptp.sdtasdt0 @t13 @t20) (tptp.sdtpldt0 @t26 @t21)))))) % 0.14/0.39 (assume @p16 (forall @t31 (=> @t30 (= (tptp.sdtasdt0 @t13 (tptp.sdtpldt0 @t20 @t27)) (tptp.sdtpldt0 (tptp.sdtpldt0 @t26 (tptp.sdtasdt0 @t1 @t27)) (tptp.sdtpldt0 @t21 @t28)))))) % 0.14/0.39 (assume @p17 (forall @t11 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t33) @t32) (= (tptp.sdtasdt0 @t19 @t5) @t32))))) % 0.14/0.39 (assume @p18 (forall @t11 (=> @t16 (= (tptp.sdtasdt0 @t19 @t33) @t18)))) % 0.14/0.39 (assume @p19 (forall @t11 (=> @t16 (=> @t34 true)))) % 0.14/0.39 (assume @p20 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.14/0.39 (assume @p21 (forall @t11 (=> @t16 (=> (and @t34 @t35) @t9)))) % 0.14/0.39 (assume @p22 (forall @t25 (=> @t24 (=> (and @t34 (tptp.sdtlseqdt0 @t5 @t20)) (tptp.sdtlseqdt0 @t1 @t20))))) % 0.14/0.39 (assume @p23 (forall @t31 (=> @t30 (=> (and @t34 @t36) (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t1 @t20) (tptp.sdtpldt0 @t5 @t27)))))) % 0.14/0.39 (assume @p24 @t41) % 0.14/0.39 (assume @p25 (forall @t11 (=> @t16 (or @t34 @t35)))) % 0.14/0.39 (assume @p26 (forall @t11 (=> @t16 (=> (and @t43 @t42) (and (tptp.sdtlseqdt0 tptp.sz0z00 @t13) (tptp.sdtlseqdt0 tptp.sz0z00 @t18)))))) % 0.14/0.39 (assume @p27 (forall @t3 (=> @t12 (tptp.sdtlseqdt0 tptp.sz0z00 @t44)))) % 0.14/0.39 (assume @p28 (forall @t11 (=> @t16 (=> (and @t43 @t42 (= @t44 (tptp.sdtasdt0 @t5 @t5))) @t9)))) % 0.14/0.39 (assume @p29 (forall @t3 (=> @t45 true))) % 0.14/0.39 (assume @p30 (forall @t3 (=> @t45 (tptp.aNaturalNumber0 @t46)))) % 0.14/0.39 (assume @p31 (forall @t11 (=> (and @t45 @t7) (tptp.aScalar0 (tptp.sdtlbdtrb0 @t1 @t5))))) % 0.14/0.39 (assume @p32 (forall @t3 (=> @t45 (=> (not (= @t46 tptp.sz00)) (forall @t8 (= (= @t5 @t49) (and @t48 (= (tptp.szszuzczcdt0 @t47) @t46) (forall (@list @t20) (=> (tptp.aNaturalNumber0 @t20) (= (tptp.sdtlbdtrb0 @t5 @t20) (tptp.sdtlbdtrb0 @t1 @t20))))))))))) % 0.14/0.39 (assume @p33 (forall @t11 (=> @t54 (=> @t53 (= (tptp.aDimensionOf0 @t49) (tptp.aDimensionOf0 @t50)))))) % 0.14/0.39 (assume @p34 (forall @t11 (=> @t54 (=> @t52 (tptp.aScalar0 @t55))))) % 0.14/0.39 (assume @p35 (forall @t11 (=> @t54 (=> (and @t52 @t51) (= @t55 tptp.sz0z00))))) % 0.14/0.39 (assume @p36 (forall @t11 (=> @t54 (=> @t53 (= @t55 (tptp.sdtpldt0 (tptp.sdtasasdt0 @t49 @t50) (tptp.sdtasdt0 (tptp.sdtlbdtrb0 @t1 @t46) (tptp.sdtlbdtrb0 @t5 @t47)))))))) % 0.14/0.39 (assume @p37 (forall @t3 (=> @t45 (tptp.sdtlseqdt0 tptp.sz0z00 @t56)))) % 0.14/0.39 (assume @p38 (and (tptp.aVector0 tptp.xs) (tptp.aVector0 tptp.xt))) % 0.14/0.39 (assume @p39 (forall @t11 (=> @t54 (=> @t52 (=> (tptp.iLess0 @t46 @t57) (tptp.sdtlseqdt0 (tptp.sdtasdt0 @t55 @t55) (tptp.sdtasdt0 @t56 (tptp.sdtasasdt0 @t5 @t5)))))))) % 0.14/0.39 (assume @p40 (= @t57 @t58)) % 0.14/0.39 (assume @p41 (not (= @t57 tptp.sz00))) % 0.14/0.39 (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)))) % 0.14/0.39 (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)))) % 0.14/0.39 (assume @p44 (and (tptp.aScalar0 tptp.xA) (= tptp.xA (tptp.sdtlbdtrb0 tptp.xs @t57)))) % 0.14/0.39 (assume @p45 (and (tptp.aScalar0 tptp.xB) (= tptp.xB (tptp.sdtlbdtrb0 tptp.xt @t58)))) % 0.14/0.39 (assume @p46 (and (tptp.aScalar0 tptp.xC) (= tptp.xC (tptp.sdtasasdt0 tptp.xp tptp.xp)))) % 0.14/0.39 (assume @p47 (and (tptp.aScalar0 tptp.xD) (= tptp.xD (tptp.sdtasasdt0 tptp.xq tptp.xq)))) % 0.14/0.39 (assume @p48 (and (tptp.aScalar0 tptp.xE) (= tptp.xE (tptp.sdtasasdt0 tptp.xp tptp.xq)))) % 0.14/0.39 (assume @p49 (and (tptp.aScalar0 tptp.xF) (= tptp.xF (tptp.sdtasdt0 tptp.xA tptp.xA)))) % 0.14/0.39 (assume @p50 (and (tptp.aScalar0 tptp.xG) (= tptp.xG (tptp.sdtasdt0 tptp.xB tptp.xB)))) % 0.14/0.39 (assume @p51 (and (tptp.aScalar0 tptp.xH) (= tptp.xH (tptp.sdtasdt0 tptp.xA tptp.xB)))) % 0.14/0.39 (assume @p52 (and @t59 (= tptp.xR (tptp.sdtasdt0 tptp.xC tptp.xG)))) % 0.14/0.39 (assume @p53 (and @t60 (= tptp.xP (tptp.sdtasdt0 tptp.xE tptp.xH)))) % 0.14/0.39 (assume @p54 (and @t61 (= tptp.xS (tptp.sdtasdt0 tptp.xF tptp.xD)))) % 0.14/0.39 (assume @p55 (and (tptp.aScalar0 tptp.xN) (= tptp.xN (tptp.sdtasdt0 tptp.xR tptp.xS)))) % 0.14/0.39 (assume @p56 (tptp.sdtlseqdt0 (tptp.sdtasdt0 tptp.xE tptp.xE) (tptp.sdtasdt0 tptp.xC tptp.xD))) % 0.14/0.39 (assume @p57 (tptp.sdtlseqdt0 @t62 tptp.xN)) % 0.14/0.39 (assume @p58 (tptp.sdtlseqdt0 (tptp.sdtpldt0 @t62 @t62) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xR tptp.xR) (tptp.sdtasdt0 tptp.xS tptp.xS)))) % 0.14/0.39 (assume @p59 (tptp.sdtlseqdt0 @t66 @t64)) % 0.14/0.39 (assume @p60 (not (tptp.sdtlseqdt0 @t65 @t63))) % 0.14/0.39 (assume @p61 @t67) % 0.14/0.39 (assume @p62 (and @t68 (tptp.sdtlseqdt0 tptp.sz0z00 @t65))) % 0.14/0.39 (assume @p63 (not @t69)) % 0.14/0.39 (assume @p64 true) % 0.14/0.39 (step @p65 :rule and_elim :premises (@p62) :args (0)) % 0.14/0.39 (step @p66 :rule aci_norm :args ((= (or @t78 @t77) (or @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t37)))) % 0.14/0.39 (step @p67 :rule aci_norm :args ((= (or @t79 @t37) @t77))) % 0.14/0.39 (step @p68 :rule refl :args (@t37)) % 0.14/0.39 (step @p69 :rule aci_norm :args ((= (or @t72 (or @t71 @t70)) @t79))) % 0.14/0.39 (step @p70 :rule bool-and-de-morgan :args (@t38 @t36 true)) % 0.14/0.39 (step @p71 :rule refl :args (@t72)) % 0.14/0.39 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t72 (not (and @t38 @t36))))) % 0.14/0.39 (step @p73 :rule bool-and-de-morgan :args (@t34 @t38 (and @t36))) % 0.14/0.39 (step @p74 :rule trans :premises (@p73 @p72)) % 0.14/0.39 (step @p75 :rule trans :premises (@p74 @p69)) % 0.14/0.39 (step @p76 :rule nary_cong :premises (@p75 @p68) :args ((or (not @t39) @t37))) % 0.14/0.39 (step @p77 :rule trans :premises (@p76 @p67)) % 0.14/0.39 (step @p78 :rule bool-impl-elim :args (@t39 @t37)) % 0.14/0.39 (step @p79 :rule trans :premises (@p78 @p77)) % 0.14/0.39 (step @p80 :rule aci_norm :args ((= (or @t76 (or @t75 (or @t74 @t73))) @t78))) % 0.14/0.39 (step @p81 :rule bool-and-de-morgan :args (@t23 @t29 true)) % 0.14/0.39 (step @p82 :rule refl :args (@t75)) % 0.14/0.39 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t75 (not (and @t23 @t29))))) % 0.14/0.39 (step @p84 :rule bool-and-de-morgan :args (@t15 @t23 (and @t29))) % 0.14/0.39 (step @p85 :rule trans :premises (@p84 @p83)) % 0.14/0.39 (step @p86 :rule refl :args (@t76)) % 0.14/0.39 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t76 (not (and @t15 @t23 @t29))))) % 0.14/0.40 (step @p88 :rule bool-and-de-morgan :args (@t12 @t15 (and @t23 @t29))) % 0.14/0.40 (step @p89 :rule trans :premises (@p88 @p87)) % 0.14/0.40 (step @p90 :rule trans :premises (@p89 @p80)) % 0.14/0.40 (step @p91 :rule nary_cong :premises (@p90 @p79) :args ((or (not @t30) @t40))) % 0.14/0.40 (step @p92 :rule trans :premises (@p91 @p66)) % 0.14/0.40 (step @p93 :rule bool-impl-elim :args (@t30 @t40)) % 0.14/0.40 (step @p94 :rule trans :premises (@p93 @p92)) % 0.14/0.40 (step @p95 :rule cong :premises (@p94) :args (@t41)) % 0.14/0.40 (step @p96 :rule eq_resolve :premises (@p24 @p95)) % 0.14/0.40 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t63 @t65 @t63 @t65))) % 0.14/0.40 (step @p98 :rule aci_norm :args ((= (or (or @t76 @t75) @t14) (or @t76 @t75 @t14)))) % 0.14/0.40 (step @p99 :rule refl :args (@t14)) % 0.14/0.40 (step @p100 :rule bool-and-de-morgan :args (@t12 @t15 true)) % 0.14/0.40 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t16) @t14))) % 0.14/0.40 (step @p102 :rule trans :premises (@p101 @p98)) % 0.14/0.40 (step @p103 :rule bool-impl-elim :args (@t16 @t14)) % 0.14/0.40 (step @p104 :rule trans :premises (@p103 @p102)) % 0.14/0.40 (step @p105 :rule cong :premises (@p104) :args (@t17)) % 0.14/0.40 (step @p106 :rule eq_resolve :premises (@p10 @p105)) % 0.14/0.40 (step @p107 :rule instantiate :premises (@p106) :args ((@list tptp.xR tptp.xS))) % 0.14/0.40 (step @p108 :rule and_elim :premises (@p54) :args (0)) % 0.14/0.40 (step @p109 :rule and_elim :premises (@p52) :args (0)) % 0.14/0.40 (step @p110 :rule cnf_or_pos :args (@t83)) % 0.14/0.40 (step @p111 :rule reordering :premises (@p110) :args ((or @t82 @t81 @t80 (not @t83)))) % 0.14/0.40 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p108 @p107) :args (@t80 (@list false false false) (@list @t59 @t61 @t83))) % 0.14/0.40 (step @p113 :rule instantiate :premises (@p106) :args ((@list tptp.xP tptp.xP))) % 0.14/0.40 (step @p114 :rule and_elim :premises (@p53) :args (0)) % 0.14/0.40 (step @p115 :rule cnf_or_pos :args (@t86)) % 0.14/0.40 (step @p116 :rule factoring :premises (@p115)) % 0.14/0.40 (step @p117 :rule reordering :premises (@p116) :args ((or @t85 @t84 (not @t86)))) % 0.14/0.40 (step @p118 :rule chain_m_resolution :premises (@p117 @p114 @p113) :args (@t84 (@list false false) (@list @t60 @t86))) % 0.14/0.40 (step @p119 :rule cnf_or_pos :args (@t91)) % 0.14/0.40 (step @p120 :rule factoring :premises (@p119)) % 0.14/0.40 (step @p121 :rule reordering :premises (@p120) :args ((or @t69 @t87 @t88 @t90 @t89 (not @t91)))) % 0.14/0.40 (step @p122 false :rule chain_m_resolution :premises (@p121 @p118 @p112 @p97 @p63 @p65 @p61) :args (false (@list false false false true false false) (@list @t84 @t80 @t91 @t69 @t68 @t67))) % 0.14/0.40 ) % 0.14/0.40 % SZS output end Proof % 0.14/0.40 % cvc5 exiting %------------------------------------------------------------------------------