%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT388+4 : 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 : n014.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 08:30:36 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT388+4 : 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 % 0.15/0.33 % Computer : n014.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 07:01:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.xp $$unsorted) % 0.37/0.61 (declare-const tptp.xP $$unsorted) % 0.37/0.61 (declare-const tptp.xT $$unsorted) % 0.37/0.61 (declare-const tptp.xS $$unsorted) % 0.37/0.61 (declare-const tptp.cS1142 (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.isMonotone0 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.aFixedPointOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.xU $$unsorted) % 0.37/0.61 (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.isOn0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.szRzazndt0 (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.aCompleteLattice0 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.isEmpty0 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.cS1241 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.xf $$unsorted) % 0.37/0.61 (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.aLowerBoundOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.aSupremumOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.aUpperBoundOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.aInfimumOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.aFunction0 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted)) % 0.37/0.61 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.61 (define @t2 () (tptp.aSet0 @t1)) % 0.37/0.61 (define @t3 () (@list @t1)) % 0.37/0.61 (define @t4 () (tptp.aElement0 @t1)) % 0.37/0.61 (define @t5 () (@var "W1" $$unsorted)) % 0.37/0.61 (define @t6 () (tptp.aElement0 @t5)) % 0.37/0.61 (define @t7 () (tptp.aElementOf0 @t5 @t1)) % 0.37/0.61 (define @t8 () (@list @t5)) % 0.37/0.61 (define @t9 () (@var "W2" $$unsorted)) % 0.37/0.61 (define @t10 () (tptp.aElementOf0 @t9 @t1)) % 0.37/0.61 (define @t11 () (@list @t9)) % 0.37/0.61 (define @t12 () (tptp.aSet0 @t5)) % 0.37/0.61 (define @t13 () (tptp.aSubsetOf0 @t5 @t1)) % 0.37/0.61 (define @t14 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.37/0.61 (define @t15 () (and @t4 @t6)) % 0.37/0.61 (define @t16 () (@list @t1 @t5)) % 0.37/0.61 (define @t17 () (tptp.sdtlseqdt0 @t5 @t1)) % 0.37/0.61 (define @t18 () (tptp.sdtlseqdt0 @t5 @t9)) % 0.37/0.61 (define @t19 () (@var "W3" $$unsorted)) % 0.37/0.61 (define @t20 () (tptp.sdtlseqdt0 @t9 @t19)) % 0.37/0.61 (define @t21 () (tptp.aElementOf0 @t19 @t5)) % 0.37/0.61 (define @t22 () (@list @t19)) % 0.37/0.61 (define @t23 () (tptp.aLowerBoundOfIn0 @t9 @t5 @t1)) % 0.37/0.61 (define @t24 () (tptp.sdtlseqdt0 @t19 @t9)) % 0.37/0.61 (define @t25 () (tptp.aUpperBoundOfIn0 @t9 @t5 @t1)) % 0.37/0.61 (define @t26 () (tptp.aInfimumOfIn0 @t9 @t5 @t1)) % 0.37/0.61 (define @t27 () (tptp.aSupremumOfIn0 @t9 @t5 @t1)) % 0.37/0.61 (define @t28 () (= @t9 @t19)) % 0.37/0.61 (define @t29 () (tptp.aSupremumOfIn0 @t19 @t5 @t1)) % 0.37/0.61 (define @t30 () (@list @t9 @t19)) % 0.37/0.61 (define @t31 () (tptp.aFunction0 @t1)) % 0.37/0.61 (define @t32 () (tptp.szDzozmdt0 @t1)) % 0.37/0.61 (define @t33 () (tptp.szRzazndt0 @t1)) % 0.37/0.61 (define @t34 () (tptp.sdtlpdtrp0 @t1 @t5)) % 0.37/0.61 (define @t35 () (tptp.aElementOf0 @t5 @t32)) % 0.37/0.61 (define @t36 () (tptp.szRzazndt0 tptp.xf)) % 0.37/0.61 (define @t37 () (tptp.szDzozmdt0 tptp.xf)) % 0.37/0.61 (define @t38 () (tptp.sdtlpdtrp0 tptp.xf @t1)) % 0.37/0.61 (define @t39 () (tptp.aElementOf0 @t1 @t37)) % 0.37/0.61 (define @t40 () (@var "W4" $$unsorted)) % 0.37/0.61 (define @t41 () (tptp.aElementOf0 @t19 @t1)) % 0.37/0.61 (define @t42 () (tptp.aElementOf0 @t9 tptp.xU)) % 0.37/0.61 (define @t43 () (tptp.sdtlseqdt0 @t9 @t5)) % 0.37/0.61 (define @t44 () (tptp.aElementOf0 @t5 tptp.xU)) % 0.37/0.61 (define @t45 () (tptp.aElementOf0 @t1 tptp.xS)) % 0.37/0.61 (define @t46 () (tptp.aFixedPointOf0 @t1 tptp.xf)) % 0.37/0.61 (define @t47 () (= @t38 @t1)) % 0.37/0.61 (define @t48 () (tptp.aElementOf0 @t1 tptp.xT)) % 0.37/0.61 (define @t49 () (tptp.aElementOf0 @t1 tptp.xP)) % 0.37/0.61 (define @t50 () (tptp.aUpperBoundOfIn0 @t1 tptp.xT tptp.xU)) % 0.37/0.61 (define @t51 () (tptp.aElementOf0 @t5 tptp.xT)) % 0.37/0.61 (define @t52 () (forall @t8 (=> @t51 @t17))) % 0.37/0.61 (define @t53 () (tptp.sdtlseqdt0 @t38 @t1)) % 0.37/0.61 (define @t54 () (tptp.aElementOf0 @t1 tptp.xU)) % 0.37/0.61 (define @t55 () (tptp.sdtlseqdt0 @t1 tptp.xp)) % 0.37/0.61 (define @t56 () (tptp.sdtlseqdt0 tptp.xp @t1)) % 0.37/0.61 (define @t57 () (tptp.aElementOf0 tptp.xp tptp.xU)) % 0.37/0.61 (define @t58 () (tptp.sdtlpdtrp0 tptp.xf tptp.xp)) % 0.37/0.61 (define @t59 () (tptp.aSupremumOfIn0 tptp.xp tptp.xT tptp.xS)) % 0.37/0.61 (define @t60 () (tptp.aUpperBoundOfIn0 @t1 tptp.xT tptp.xS)) % 0.37/0.61 (define @t61 () (and @t45 @t52)) % 0.37/0.61 (define @t62 () (or @t61 @t60)) % 0.37/0.61 (define @t63 () (tptp.aSupremumOfIn0 @t1 tptp.xT tptp.xS)) % 0.37/0.61 (define @t64 () (tptp.aUpperBoundOfIn0 @t5 tptp.xT tptp.xS)) % 0.37/0.61 (define @t65 () (tptp.aElementOf0 @t9 tptp.xT)) % 0.37/0.61 (define @t66 () (forall @t11 (=> @t65 @t43))) % 0.37/0.61 (define @t67 () (tptp.aElementOf0 @t5 tptp.xS)) % 0.37/0.61 (define @t68 () (and @t67 @t66 @t64)) % 0.37/0.61 (define @t69 () (=> @t68 @t14)) % 0.37/0.61 (define @t70 () (forall @t8 @t69)) % 0.37/0.61 (define @t71 () (and @t45 @t62 @t70)) % 0.37/0.61 (define @t72 () (or @t71 @t63)) % 0.37/0.61 (define @t73 () (exists @t3 @t72)) % 0.37/0.61 (define @t74 () (not @t73)) % 0.37/0.61 (define @t75 () (@var "BOUND_VARIABLE_8546" $$unsorted)) % 0.37/0.61 (define @t76 () (forall (@list @t75) (not (tptp.aSupremumOfIn0 @t75 tptp.xT tptp.xS)))) % 0.37/0.61 (define @t77 () (@var "BOUND_VARIABLE_8527" $$unsorted)) % 0.37/0.61 (define @t78 () (not @t64)) % 0.37/0.61 (define @t79 () (forall @t11 (or (not @t65) @t43))) % 0.37/0.61 (define @t80 () (not @t79)) % 0.37/0.61 (define @t81 () (not @t67)) % 0.37/0.61 (define @t82 () (not @t51)) % 0.37/0.61 (define @t83 () (not (tptp.aElementOf0 @t77 tptp.xS))) % 0.37/0.61 (define @t84 () (not @t63)) % 0.37/0.61 (define @t85 () (forall @t3 @t84)) % 0.37/0.61 (define @t86 () (@list @t1)) % 0.37/0.61 (define @t87 () (or @t81 @t80 @t78 @t14)) % 0.37/0.61 (define @t88 () (forall @t8 @t87)) % 0.37/0.61 (define @t89 () (not @t88)) % 0.37/0.61 (define @t90 () (not @t60)) % 0.37/0.61 (define @t91 () (forall @t8 (or @t82 @t17))) % 0.37/0.61 (define @t92 () (not @t45)) % 0.37/0.61 (define @t93 () (or @t92 (and (or @t92 (not @t91)) @t90) @t89)) % 0.37/0.61 (define @t94 () (forall @t3 @t93)) % 0.37/0.61 (define @t95 () (and @t94 @t85)) % 0.37/0.61 (define @t96 () (and @t45 @t91)) % 0.37/0.61 (define @t97 () (or @t96 @t60)) % 0.37/0.61 (define @t98 () (not @t97)) % 0.37/0.61 (define @t99 () (or @t92 @t98 @t89)) % 0.37/0.61 (define @t100 () (and @t45 @t97 @t88)) % 0.37/0.61 (define @t101 () (or @t100 @t63)) % 0.37/0.61 (define @t102 () (forall @t3 (not @t101))) % 0.37/0.61 (define @t103 () (not @t102)) % 0.37/0.61 (define @t104 () (or @t81 @t80 @t78)) % 0.37/0.61 (define @t105 () (and @t67 @t79 @t64)) % 0.37/0.61 (define @t106 () (not @t59)) % 0.37/0.61 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.61 (assume @p2 (forall @t3 (=> @t4 true))) % 0.37/0.61 (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6))))) % 0.37/0.61 (assume @p4 (forall @t3 (=> @t2 (= (tptp.isEmpty0 @t1) (not (exists @t8 @t7)))))) % 0.37/0.61 (assume @p5 (forall @t3 (=> @t2 (forall @t8 (= @t13 (and @t12 (forall @t11 (=> (tptp.aElementOf0 @t9 @t5) @t10)))))))) % 0.37/0.61 (assume @p6 (forall @t16 (=> @t15 (=> @t14 true)))) % 0.37/0.61 (assume @p7 (forall @t3 (=> @t4 (tptp.sdtlseqdt0 @t1 @t1)))) % 0.37/0.61 (assume @p8 (forall @t16 (=> @t15 (=> (and @t14 @t17) (= @t1 @t5))))) % 0.37/0.61 (assume @p9 (forall (@list @t1 @t5 @t9) (=> (and @t4 @t6 (tptp.aElement0 @t9)) (=> (and @t14 @t18) (tptp.sdtlseqdt0 @t1 @t9))))) % 0.37/0.61 (assume @p10 (forall @t3 (=> @t2 (forall @t8 (=> @t13 (forall @t11 (= @t23 (and @t10 (forall @t22 (=> @t21 @t20)))))))))) % 0.37/0.61 (assume @p11 (forall @t3 (=> @t2 (forall @t8 (=> @t13 (forall @t11 (= @t25 (and @t10 (forall @t22 (=> @t21 @t24)))))))))) % 0.37/0.61 (assume @p12 (forall @t3 (=> @t2 (forall @t8 (=> @t13 (forall @t11 (= @t26 (and @t10 @t23 (forall @t22 (=> (tptp.aLowerBoundOfIn0 @t19 @t5 @t1) @t24)))))))))) % 0.37/0.61 (assume @p13 (forall @t3 (=> @t2 (forall @t8 (=> @t13 (forall @t11 (= @t27 (and @t10 @t25 (forall @t22 (=> (tptp.aUpperBoundOfIn0 @t19 @t5 @t1) @t20)))))))))) % 0.37/0.61 (assume @p14 (forall @t3 (=> @t2 (forall @t8 (=> @t13 (forall @t30 (=> (and @t27 @t29) @t28))))))) % 0.37/0.61 (assume @p15 (forall @t3 (=> @t2 (forall @t8 (=> @t13 (forall @t30 (=> (and @t26 (tptp.aInfimumOfIn0 @t19 @t5 @t1)) @t28))))))) % 0.37/0.61 (assume @p16 (forall @t3 (= (tptp.aCompleteLattice0 @t1) (and @t2 (forall @t8 (=> @t13 (exists @t11 (and @t26 (exists @t22 @t29))))))))) % 0.37/0.61 (assume @p17 (forall @t3 (=> @t31 true))) % 0.37/0.61 (assume @p18 (forall @t3 (=> @t31 (tptp.aSet0 @t32)))) % 0.37/0.61 (assume @p19 (forall @t3 (=> @t31 (tptp.aSet0 @t33)))) % 0.37/0.61 (assume @p20 (forall @t16 (=> (and @t31 @t12) (= (tptp.isOn0 @t1 @t5) (and (= @t32 @t33) (= @t33 @t5)))))) % 0.37/0.61 (assume @p21 (forall @t3 (=> @t31 (forall @t8 (=> @t35 (tptp.aElementOf0 @t34 @t33)))))) % 0.37/0.61 (assume @p22 (forall @t3 (=> @t31 (forall @t8 (= (tptp.aFixedPointOf0 @t5 @t1) (and @t35 (= @t34 @t5))))))) % 0.37/0.61 (assume @p23 (forall @t3 (=> @t31 (= (tptp.isMonotone0 @t1) (forall (@list @t5 @t9) (=> (and @t35 (tptp.aElementOf0 @t9 @t32)) (=> @t18 (tptp.sdtlseqdt0 @t34 (tptp.sdtlpdtrp0 @t1 @t9))))))))) % 0.37/0.61 (assume @p24 (and (tptp.aSet0 tptp.xU) (forall @t3 (=> (or (and @t2 (forall @t8 (=> @t7 @t44))) (tptp.aSubsetOf0 @t1 tptp.xU)) (exists @t8 (and @t44 @t44 (forall @t11 (=> @t10 @t18)) (tptp.aLowerBoundOfIn0 @t5 @t1 tptp.xU) (forall @t11 (=> (or (and @t42 (forall @t22 (=> @t41 @t20))) (tptp.aLowerBoundOfIn0 @t9 @t1 tptp.xU)) @t43)) (tptp.aInfimumOfIn0 @t5 @t1 tptp.xU) (exists @t11 (and @t42 @t42 (forall @t22 (=> @t41 @t24)) (tptp.aUpperBoundOfIn0 @t9 @t1 tptp.xU) (forall @t22 (=> (or (and (tptp.aElementOf0 @t19 tptp.xU) (forall (@list @t40) (=> (tptp.aElementOf0 @t40 @t1) (tptp.sdtlseqdt0 @t40 @t19)))) (tptp.aUpperBoundOfIn0 @t19 @t1 tptp.xU)) @t20)) (tptp.aSupremumOfIn0 @t9 @t1 tptp.xU))))))) (tptp.aCompleteLattice0 tptp.xU) (tptp.aFunction0 tptp.xf) (forall @t16 (=> (and @t39 (tptp.aElementOf0 @t5 @t37)) (=> @t14 (tptp.sdtlseqdt0 @t38 (tptp.sdtlpdtrp0 tptp.xf @t5))))) (tptp.isMonotone0 tptp.xf) (= @t37 @t36) (= @t36 tptp.xU) (tptp.isOn0 tptp.xf tptp.xU))) % 0.37/0.61 (assume @p25 (and (tptp.aSet0 tptp.xS) (forall @t3 (and (=> @t45 (and @t39 @t47 @t46)) (=> (or (and @t39 @t47) @t46) @t45))) (= tptp.xS (tptp.cS1142 tptp.xf)))) % 0.37/0.61 (assume @p26 (and (tptp.aSet0 tptp.xT) (forall @t3 (=> @t48 @t45)) (tptp.aSubsetOf0 tptp.xT tptp.xS))) % 0.37/0.61 (assume @p27 (and (tptp.aSet0 tptp.xP) (forall @t3 (and (=> @t49 (and @t54 @t53 @t52 @t50)) (=> (and @t54 @t53 (or @t52 @t50)) @t49))) (= tptp.xP (tptp.cS1241 tptp.xU tptp.xf tptp.xT)))) % 0.37/0.61 (assume @p28 (and @t57 @t57 (forall @t3 (=> @t49 @t56)) (tptp.aLowerBoundOfIn0 tptp.xp tptp.xP tptp.xU) (forall @t3 (=> (or (and @t54 (forall @t8 (=> (tptp.aElementOf0 @t5 tptp.xP) @t14))) (tptp.aLowerBoundOfIn0 @t1 tptp.xP tptp.xU)) @t55)) (tptp.aInfimumOfIn0 tptp.xp tptp.xP tptp.xU))) % 0.37/0.61 (assume @p29 (and (forall @t3 (=> @t49 (tptp.sdtlseqdt0 @t58 @t1))) (tptp.aLowerBoundOfIn0 @t58 tptp.xP tptp.xU) (forall @t3 (=> @t48 (tptp.sdtlseqdt0 @t1 @t58))) (tptp.aUpperBoundOfIn0 @t58 tptp.xT tptp.xU))) % 0.37/0.61 (assume @p30 (and (tptp.aElementOf0 tptp.xp @t37) (= @t58 tptp.xp) (tptp.aFixedPointOf0 tptp.xp tptp.xf) (forall @t3 (=> @t48 @t55)) (tptp.aUpperBoundOfIn0 tptp.xp tptp.xT tptp.xS) (forall @t3 (=> @t62 @t56)) @t59)) % 0.37/0.61 (assume @p31 @t74) % 0.37/0.61 (assume @p32 true) % 0.37/0.61 (step @p33 :rule and_elim :premises (@p30) :args (6)) % 0.37/0.61 (step @p34 :rule bool-double-not-elim :args ((and (forall (@list @t77) (or @t83 (and (or @t83 (not (forall @t8 (or @t82 (tptp.sdtlseqdt0 @t5 @t77))))) (not (tptp.aUpperBoundOfIn0 @t77 tptp.xT tptp.xS))) (not (forall @t8 (or @t81 @t80 @t78 (tptp.sdtlseqdt0 @t77 @t5)))))) @t76))) % 0.37/0.61 (step @p35 :rule alpha_equiv :args (@t85 @t86 (@list @t75))) % 0.37/0.61 (step @p36 :rule alpha_equiv :args (@t94 @t86 (@list @t77))) % 0.37/0.61 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t95)) % 0.37/0.61 (step @p38 :rule quant-miniscope-and :args ((= (forall @t3 (and @t93 @t84)) @t95))) % 0.37/0.61 (step @p39 :rule trans :premises (@p38 @p37)) % 0.37/0.61 (step @p40 :rule refl :args (@t84)) % 0.37/0.61 (step @p41 :rule refl :args (@t89)) % 0.37/0.61 (step @p42 :rule refl :args (@t90)) % 0.37/0.61 (step @p43 :rule bool-and-de-morgan :args (@t45 @t91 true)) % 0.37/0.61 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((and (not @t96) @t90))) % 0.37/0.61 (step @p45 :rule bool-or-de-morgan :args (@t96 @t60 false)) % 0.37/0.61 (step @p46 :rule trans :premises (@p45 @p44)) % 0.37/0.61 (step @p47 :rule refl :args (@t92)) % 0.37/0.61 (step @p48 :rule nary_cong :premises (@p47 @p46 @p41) :args (@t99)) % 0.37/0.61 (step @p49 :rule aci_norm :args ((= (or @t92 (or @t98 @t89)) @t99))) % 0.37/0.61 (step @p50 :rule bool-and-de-morgan :args (@t97 @t88 true)) % 0.37/0.61 (step @p51 :rule nary_cong :premises (@p47 @p50) :args ((or @t92 (not (and @t97 @t88))))) % 0.37/0.61 (step @p52 :rule bool-and-de-morgan :args (@t45 @t97 (and @t88))) % 0.37/0.61 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.61 (step @p54 :rule trans :premises (@p53 @p49)) % 0.37/0.61 (step @p55 :rule trans :premises (@p54 @p48)) % 0.37/0.61 (step @p56 :rule nary_cong :premises (@p55 @p40) :args ((and (not @t100) @t84))) % 0.37/0.61 (step @p57 :rule bool-or-de-morgan :args (@t100 @t63 false)) % 0.37/0.61 (step @p58 :rule trans :premises (@p57 @p56)) % 0.37/0.61 (step @p59 :rule cong :premises (@p58) :args (@t102)) % 0.37/0.61 (step @p60 :rule trans :premises (@p59 @p39)) % 0.37/0.61 (step @p61 :rule cong :premises (@p60) :args (@t103)) % 0.37/0.61 (step @p62 :rule exists-elim :args ((= (exists @t3 @t101) @t103))) % 0.37/0.61 (step @p63 :rule trans :premises (@p62 @p61)) % 0.37/0.61 (step @p64 :rule refl :args (@t63)) % 0.37/0.61 (step @p65 :rule aci_norm :args ((= (or @t104 @t14) @t87))) % 0.37/0.61 (step @p66 :rule refl :args (@t14)) % 0.37/0.61 (step @p67 :rule aci_norm :args ((= (or @t81 (or @t80 @t78)) @t104))) % 0.37/0.61 (step @p68 :rule bool-and-de-morgan :args (@t79 @t64 true)) % 0.37/0.61 (step @p69 :rule refl :args (@t81)) % 0.37/0.61 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t81 (not (and @t79 @t64))))) % 0.37/0.61 (step @p71 :rule bool-and-de-morgan :args (@t67 @t79 (and @t64))) % 0.37/0.61 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.61 (step @p73 :rule trans :premises (@p72 @p67)) % 0.37/0.61 (step @p74 :rule nary_cong :premises (@p73 @p66) :args ((or (not @t105) @t14))) % 0.37/0.61 (step @p75 :rule trans :premises (@p74 @p65)) % 0.37/0.61 (step @p76 :rule bool-impl-elim :args (@t105 @t14)) % 0.37/0.61 (step @p77 :rule trans :premises (@p76 @p75)) % 0.37/0.61 (step @p78 :rule cong :premises (@p77) :args ((forall @t8 (=> @t105 @t14)))) % 0.37/0.61 (step @p79 :rule refl :args (@t14)) % 0.37/0.61 (step @p80 :rule refl :args (@t64)) % 0.37/0.61 (step @p81 :rule bool-impl-elim :args (@t65 @t43)) % 0.37/0.61 (step @p82 :rule cong :premises (@p81) :args (@t66)) % 0.37/0.61 (step @p83 :rule refl :args (@t67)) % 0.37/0.61 (step @p84 :rule nary_cong :premises (@p83 @p82 @p80) :args (@t68)) % 0.37/0.61 (step @p85 :rule cong :premises (@p84 @p79) :args (@t69)) % 0.37/0.61 (step @p86 :rule cong :premises (@p85) :args (@t70)) % 0.37/0.61 (step @p87 :rule trans :premises (@p86 @p78)) % 0.37/0.61 (step @p88 :rule refl :args (@t60)) % 0.37/0.61 (step @p89 :rule bool-impl-elim :args (@t51 @t17)) % 0.37/0.61 (step @p90 :rule cong :premises (@p89) :args (@t52)) % 0.37/0.61 (step @p91 :rule refl :args (@t45)) % 0.37/0.61 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t61)) % 0.37/0.61 (step @p93 :rule nary_cong :premises (@p92 @p88) :args (@t62)) % 0.37/0.61 (step @p94 :rule nary_cong :premises (@p91 @p93 @p87) :args (@t71)) % 0.37/0.61 (step @p95 :rule nary_cong :premises (@p94 @p64) :args (@t72)) % 0.37/0.61 (step @p96 :rule cong :premises (@p95) :args (@t73)) % 0.37/0.61 (step @p97 :rule trans :premises (@p96 @p63)) % 0.37/0.61 (step @p98 :rule cong :premises (@p97) :args (@t74)) % 0.37/0.61 (step @p99 :rule trans :premises (@p98 @p34)) % 0.37/0.61 (step @p100 :rule eq_resolve :premises (@p31 @p99)) % 0.37/0.61 (step @p101 :rule and_elim :premises (@p100) :args (1)) % 0.37/0.61 (assume-push @p109 @t76) % 0.37/0.61 (step @p103 :rule instantiate :premises (@p101) :args ((@list tptp.xp))) % 0.37/0.61 (step-pop @p110 :rule scope :premises (@p103)) % 0.37/0.61 (step @p104 :rule process_scope :premises (@p110) :args (@t106)) % 0.37/0.61 (step @p106 :rule implies_elim :premises (@p104)) % 0.37/0.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t106 (not @t76)))) % 0.37/0.61 (step @p108 false :rule chain_m_resolution :premises (@p107 @p101 @p33) :args (false (@list false false) (@list @t76 @t59))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------