%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG125+4 : 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 : n022.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 08:45:46 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG125+4 : 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 : n022.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 14:08:53 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.xu $$unsorted) % 0.38/0.60 (declare-const tptp.xI $$unsorted) % 0.38/0.60 (declare-const tptp.xc $$unsorted) % 0.38/0.60 (declare-const tptp.xa $$unsorted) % 0.38/0.60 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.sz00 $$unsorted) % 0.38/0.60 (declare-const tptp.sz10 $$unsorted) % 0.38/0.60 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.xb $$unsorted) % 0.38/0.60 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.38/0.60 (define @t1 () (@var "W0" $$unsorted)) % 0.38/0.60 (define @t2 () (tptp.aElement0 @t1)) % 0.38/0.60 (define @t3 () (@list @t1)) % 0.38/0.60 (define @t4 () (tptp.smndt0 @t1)) % 0.38/0.60 (define @t5 () (@var "W1" $$unsorted)) % 0.38/0.60 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.38/0.60 (define @t7 () (tptp.aElement0 @t5)) % 0.38/0.60 (define @t8 () (and @t2 @t7)) % 0.38/0.60 (define @t9 () (@list @t1 @t5)) % 0.38/0.60 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.38/0.60 (define @t11 () (@var "W2" $$unsorted)) % 0.38/0.60 (define @t12 () (tptp.sdtpldt0 @t5 @t11)) % 0.38/0.60 (define @t13 () (tptp.aElement0 @t11)) % 0.38/0.60 (define @t14 () (and @t2 @t7 @t13)) % 0.38/0.60 (define @t15 () (@list @t1 @t5 @t11)) % 0.38/0.60 (define @t16 () (tptp.sdtasdt0 @t5 @t1)) % 0.38/0.60 (define @t17 () (tptp.sdtasdt0 @t1 @t11)) % 0.38/0.60 (define @t18 () (tptp.smndt0 tptp.sz10)) % 0.38/0.60 (define @t19 () (= @t5 tptp.sz00)) % 0.38/0.60 (define @t20 () (= @t1 tptp.sz00)) % 0.38/0.60 (define @t21 () (tptp.aSet0 @t1)) % 0.38/0.60 (define @t22 () (tptp.aElementOf0 @t5 @t1)) % 0.38/0.60 (define @t23 () (@list @t5)) % 0.38/0.60 (define @t24 () (tptp.aElementOf0 @t11 @t1)) % 0.38/0.60 (define @t25 () (tptp.aElementOf0 @t11 @t5)) % 0.38/0.60 (define @t26 () (@list @t11)) % 0.38/0.60 (define @t27 () (tptp.aSet0 @t5)) % 0.38/0.60 (define @t28 () (and @t21 @t27)) % 0.38/0.60 (define @t29 () (@var "W3" $$unsorted)) % 0.38/0.60 (define @t30 () (@var "W5" $$unsorted)) % 0.38/0.60 (define @t31 () (@var "W4" $$unsorted)) % 0.38/0.60 (define @t32 () (tptp.aElementOf0 @t29 @t11)) % 0.38/0.60 (define @t33 () (@list @t29)) % 0.38/0.60 (define @t34 () (tptp.aSet0 @t11)) % 0.38/0.60 (define @t35 () (tptp.sdtpldt1 @t1 @t5)) % 0.38/0.60 (define @t36 () (tptp.sdtasasdt0 @t1 @t5)) % 0.38/0.60 (define @t37 () (tptp.sdtasdt0 @t11 @t5)) % 0.38/0.60 (define @t38 () (tptp.aIdeal0 @t1)) % 0.38/0.60 (define @t39 () (and @t38 (tptp.aIdeal0 @t5))) % 0.38/0.60 (define @t40 () (tptp.aElement0 @t29)) % 0.38/0.60 (define @t41 () (@list @t11 @t29)) % 0.38/0.60 (define @t42 () (tptp.aNaturalNumber0 @t1)) % 0.38/0.60 (define @t43 () (tptp.sbrdtbr0 @t1)) % 0.38/0.60 (define @t44 () (not @t20)) % 0.38/0.60 (define @t45 () (tptp.slsdtgt0 @t1)) % 0.38/0.60 (define @t46 () (tptp.sdtasdt0 tptp.xc @t1)) % 0.38/0.60 (define @t47 () (tptp.aElement0 tptp.xc)) % 0.38/0.60 (define @t48 () (tptp.slsdtgt0 tptp.xb)) % 0.38/0.60 (define @t49 () (tptp.slsdtgt0 tptp.xa)) % 0.38/0.60 (define @t50 () (tptp.sdtpldt1 @t49 @t48)) % 0.38/0.60 (define @t51 () (tptp.aElementOf0 @t5 @t49)) % 0.38/0.60 (define @t52 () (exists (@list @t5 @t11) (and @t51 (tptp.aElementOf0 @t11 @t48) (= @t12 @t1)))) % 0.38/0.60 (define @t53 () (tptp.aElementOf0 @t1 tptp.xI)) % 0.38/0.60 (define @t54 () (tptp.sdtasdt0 tptp.xb @t5)) % 0.38/0.60 (define @t55 () (tptp.aElementOf0 @t1 @t49)) % 0.38/0.60 (define @t56 () (tptp.sdtasdt0 tptp.xb @t1)) % 0.38/0.60 (define @t57 () (tptp.sdtasdt0 tptp.xa @t1)) % 0.38/0.60 (define @t58 () (tptp.aElementOf0 @t5 @t48)) % 0.38/0.60 (define @t59 () (tptp.aDivisorOf0 tptp.xu tptp.xb)) % 0.38/0.60 (define @t60 () (tptp.doDivides0 tptp.xu tptp.xb)) % 0.38/0.60 (define @t61 () (tptp.sdtasdt0 tptp.xu @t1)) % 0.38/0.60 (define @t62 () (and @t2 (= @t61 tptp.xb))) % 0.38/0.60 (define @t63 () (exists @t3 @t62)) % 0.38/0.60 (define @t64 () (or @t63 @t60 @t59)) % 0.38/0.60 (define @t65 () (tptp.aDivisorOf0 tptp.xu tptp.xa)) % 0.38/0.60 (define @t66 () (tptp.doDivides0 tptp.xu tptp.xa)) % 0.38/0.60 (define @t67 () (and @t2 (= @t61 tptp.xa))) % 0.38/0.60 (define @t68 () (exists @t3 @t67)) % 0.38/0.60 (define @t69 () (or @t68 @t66 @t65)) % 0.38/0.60 (define @t70 () (and @t69 @t64)) % 0.38/0.60 (define @t71 () (not @t70)) % 0.38/0.60 (define @t72 () (and @t68 @t66)) % 0.38/0.60 (define @t73 () (and @t63 @t60)) % 0.38/0.60 (define @t74 () (= tptp.xa @t61)) % 0.38/0.60 (define @t75 () (and @t2 @t74)) % 0.38/0.60 (define @t76 () (forall @t3 (not @t75))) % 0.38/0.60 (define @t77 () (not @t76)) % 0.38/0.60 (define @t78 () (not @t2)) % 0.38/0.60 (define @t79 () (forall @t3 (or @t78 (not @t74)))) % 0.38/0.60 (define @t80 () (not @t79)) % 0.38/0.60 (define @t81 () (or @t80 @t66 @t65)) % 0.38/0.60 (define @t82 () (@list true)) % 0.38/0.60 (define @t83 () (= tptp.xb @t61)) % 0.38/0.60 (define @t84 () (and @t2 @t83)) % 0.38/0.60 (define @t85 () (forall @t3 (not @t84))) % 0.38/0.60 (define @t86 () (not @t85)) % 0.38/0.60 (define @t87 () (forall @t3 (or @t78 (not @t83)))) % 0.38/0.60 (define @t88 () (not @t87)) % 0.38/0.60 (define @t89 () (or @t88 @t60 @t59)) % 0.38/0.60 (define @t90 () (@list false)) % 0.38/0.60 (assume @p1 (forall @t3 (=> @t2 true))) % 0.38/0.60 (assume @p2 (tptp.aElement0 tptp.sz00)) % 0.38/0.60 (assume @p3 (tptp.aElement0 tptp.sz10)) % 0.38/0.60 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 0.38/0.60 (assume @p5 (forall @t9 (=> @t8 (tptp.aElement0 @t6)))) % 0.38/0.60 (assume @p6 (forall @t9 (=> @t8 (tptp.aElement0 @t10)))) % 0.38/0.60 (assume @p7 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 0.38/0.60 (assume @p8 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t6 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 0.38/0.60 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.38/0.60 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.38/0.60 (assume @p11 (forall @t9 (=> @t8 (= @t10 @t16)))) % 0.38/0.60 (assume @p12 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t10 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t11)))))) % 0.38/0.60 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.38/0.60 (assume @p14 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t10 @t17)) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 (tptp.sdtasdt0 @t11 @t1))))))) % 0.38/0.60 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t18 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t18)))))) % 0.38/0.60 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.38/0.60 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t20 @t19))))) % 0.38/0.60 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 0.38/0.60 (assume @p19 (forall @t3 (=> @t21 true))) % 0.38/0.60 (assume @p20 (forall @t3 (=> @t21 (forall @t23 (=> @t22 @t7))))) % 0.38/0.60 (assume @p21 (forall @t9 (=> @t28 (=> (and (forall @t26 (=> @t24 @t25)) (forall @t26 (=> @t25 @t24))) (= @t1 @t5))))) % 0.38/0.60 (assume @p22 (forall @t9 (=> @t28 (forall @t26 (= (= @t11 @t35) (and @t34 (forall @t33 (= @t32 (exists (@list @t31 @t30) (and (tptp.aElementOf0 @t31 @t1) (tptp.aElementOf0 @t30 @t5) (= (tptp.sdtpldt0 @t31 @t30) @t29))))))))))) % 0.38/0.60 (assume @p23 (forall @t9 (=> @t28 (forall @t26 (= (= @t11 @t36) (and @t34 (forall @t33 (= @t32 (and (tptp.aElementOf0 @t29 @t1) (tptp.aElementOf0 @t29 @t5)))))))))) % 0.38/0.60 (assume @p24 (forall @t3 (= @t38 (and @t21 (forall @t23 (=> @t22 (and (forall @t26 (=> @t24 (tptp.aElementOf0 @t12 @t1))) (forall @t26 (=> @t13 (tptp.aElementOf0 @t37 @t1)))))))))) % 0.38/0.60 (assume @p25 (forall @t9 (=> @t39 (tptp.aIdeal0 @t35)))) % 0.38/0.60 (assume @p26 (forall @t9 (=> @t39 (tptp.aIdeal0 @t36)))) % 0.38/0.60 (assume @p27 (forall @t15 (=> (and @t2 @t7 (tptp.aIdeal0 @t11)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t11) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5)) @t11))))) % 0.38/0.60 (assume @p28 (forall @t9 (=> @t39 (=> (forall @t26 (=> @t13 (tptp.aElementOf0 @t11 @t35))) (forall @t41 (=> (and @t13 @t40) (exists (@list @t31) (and (tptp.aElement0 @t31) (tptp.sdteqdtlpzmzozddtrp0 @t31 @t11 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t31 @t29 @t5))))))))) % 0.38/0.60 (assume @p29 (forall @t3 (=> @t42 true))) % 0.38/0.60 (assume @p30 (forall @t3 (=> (and @t2 @t44) (tptp.aNaturalNumber0 @t43)))) % 0.38/0.60 (assume @p31 (forall @t9 (=> (and @t42 (tptp.aNaturalNumber0 @t5)) (=> (tptp.iLess0 @t1 @t5) true)))) % 0.38/0.60 (assume @p32 (forall @t9 (=> (and @t2 @t7 (not @t19)) (exists @t41 (and @t13 @t40 (= @t1 (tptp.sdtpldt0 @t37 @t29)) (=> (not (= @t29 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t29) (tptp.sbrdtbr0 @t5)))))))) % 0.38/0.60 (assume @p33 (forall @t9 (=> @t8 (= (tptp.doDivides0 @t1 @t5) (exists @t26 (and @t13 (= @t17 @t5))))))) % 0.38/0.60 (assume @p34 (forall @t3 (=> @t2 (forall @t23 (= (tptp.aDivisorOf0 @t5 @t1) (and @t7 (tptp.doDivides0 @t5 @t1))))))) % 0.38/0.60 (assume @p35 (forall @t9 (=> @t8 (forall @t26 (= (tptp.aGcdOfAnd0 @t11 @t1 @t5) (and (tptp.aDivisorOf0 @t11 @t1) (tptp.aDivisorOf0 @t11 @t5) (forall @t33 (=> (and (tptp.aDivisorOf0 @t29 @t1) (tptp.aDivisorOf0 @t29 @t5)) (tptp.doDivides0 @t29 @t11))))))))) % 0.38/0.60 (assume @p36 (forall @t9 (=> @t8 (= (tptp.misRelativelyPrime0 @t1 @t5) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t5))))) % 0.38/0.60 (assume @p37 (forall @t3 (=> @t2 (forall @t23 (= (= @t5 @t45) (and @t27 (forall @t26 (= @t25 (exists @t33 (and @t40 (= (tptp.sdtasdt0 @t1 @t29) @t11))))))))))) % 0.38/0.60 (assume @p38 (forall @t3 (=> @t2 (tptp.aIdeal0 @t45)))) % 0.38/0.60 (assume @p39 (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb))) % 0.38/0.60 (assume @p40 (or (not (= tptp.xa tptp.sz00)) (not (= tptp.xb tptp.sz00)))) % 0.38/0.60 (assume @p41 (and @t47 (exists @t3 (and @t2 (= @t46 tptp.xa))) (tptp.doDivides0 tptp.xc tptp.xa) (tptp.aDivisorOf0 tptp.xc tptp.xa) @t47 (exists @t3 (and @t2 (= @t46 tptp.xb))) (tptp.doDivides0 tptp.xc tptp.xb) (tptp.aDivisorOf0 tptp.xc tptp.xb) (forall @t3 (=> (and (or (and @t2 (or (exists @t23 (and @t7 (= @t10 tptp.xa))) (tptp.doDivides0 @t1 tptp.xa))) (tptp.aDivisorOf0 @t1 tptp.xa)) (or (exists @t23 (and @t7 (= @t10 tptp.xb))) (tptp.doDivides0 @t1 tptp.xb) (tptp.aDivisorOf0 @t1 tptp.xb))) (and (exists @t23 (and @t7 (= @t10 tptp.xc))) (tptp.doDivides0 @t1 tptp.xc)))) (tptp.aGcdOfAnd0 tptp.xc tptp.xa tptp.xb))) % 0.38/0.60 (assume @p42 (and (tptp.aSet0 tptp.xI) (forall @t3 (=> @t53 (and (forall @t23 (=> (tptp.aElementOf0 @t5 tptp.xI) (tptp.aElementOf0 @t6 tptp.xI))) (forall @t23 (=> @t7 (tptp.aElementOf0 @t16 tptp.xI)))))) (tptp.aIdeal0 tptp.xI) (forall @t3 (= @t55 (exists @t23 (and @t7 (= (tptp.sdtasdt0 tptp.xa @t5) @t1))))) (forall @t3 (= (tptp.aElementOf0 @t1 @t48) (exists @t23 (and @t7 (= @t54 @t1))))) (forall @t3 (= @t53 @t52)) (= tptp.xI @t50))) % 0.38/0.60 (assume @p43 (and (exists @t3 (and @t2 (= @t57 tptp.sz00))) (tptp.aElementOf0 tptp.sz00 @t49) (exists @t3 (and @t2 (= @t57 tptp.xa))) (tptp.aElementOf0 tptp.xa @t49) (exists @t3 (and @t2 (= @t56 tptp.sz00))) (tptp.aElementOf0 tptp.sz00 @t48) (exists @t3 (and @t2 (= @t56 tptp.xb))) (tptp.aElementOf0 tptp.xb @t48))) % 0.38/0.60 (assume @p44 (exists @t3 (and (forall @t23 (= @t51 (exists @t26 (and @t13 (= (tptp.sdtasdt0 tptp.xa @t11) @t5))))) (forall @t23 (= @t58 (exists @t26 (and @t13 (= (tptp.sdtasdt0 tptp.xb @t11) @t5))))) @t52 (tptp.aElementOf0 @t1 @t50) @t44))) % 0.38/0.60 (assume @p45 (and (exists @t9 (and @t55 @t58 (= @t6 tptp.xu))) (tptp.aElementOf0 tptp.xu tptp.xI) (not (= tptp.xu tptp.sz00)) (forall @t3 (=> (and (or @t52 @t53) @t44) (not (tptp.iLess0 @t43 (tptp.sbrdtbr0 tptp.xu))))))) % 0.38/0.60 (assume @p46 @t71) % 0.38/0.60 (assume @p47 (exists @t9 (and @t2 @t7 (= tptp.xu (tptp.sdtpldt0 @t57 @t54))))) % 0.38/0.60 (assume @p48 (not (not @t72))) % 0.38/0.60 (assume @p49 (not (not @t73))) % 0.38/0.60 (assume @p50 (not false)) % 0.38/0.60 (assume @p51 true) % 0.38/0.60 (step @p52 :rule refl :args (@t66)) % 0.38/0.60 (step @p53 :rule bool-and-de-morgan :args (@t2 @t74 true)) % 0.38/0.60 (step @p54 :rule cong :premises (@p53) :args (@t76)) % 0.38/0.60 (step @p55 :rule cong :premises (@p54) :args (@t77)) % 0.38/0.60 (step @p56 :rule exists-elim :args ((= (exists @t3 @t75) @t77))) % 0.38/0.60 (step @p57 :rule trans :premises (@p56 @p55)) % 0.38/0.60 (step @p58 :rule eq-symm :args (@t61 tptp.xa)) % 0.38/0.60 (step @p59 :rule refl :args (@t2)) % 0.38/0.60 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t67)) % 0.38/0.60 (step @p61 :rule cong :premises (@p60) :args (@t68)) % 0.38/0.60 (step @p62 :rule trans :premises (@p61 @p57)) % 0.38/0.60 (step @p63 :rule nary_cong :premises (@p62 @p52) :args (@t72)) % 0.38/0.60 (step @p64 :rule bool-double-not-elim :args (@t72)) % 0.38/0.60 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.60 (step @p66 :rule eq_resolve :premises (@p48 @p65)) % 0.38/0.60 (step @p67 :rule and_elim :premises (@p66) :args (0)) % 0.38/0.60 (step @p68 :rule bool-double-not-elim :args (@t79)) % 0.38/0.60 (step @p69 :rule refl :args (@t81)) % 0.38/0.60 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t81 (not @t80)))) % 0.38/0.61 (step @p71 :rule cnf_or_neg :args (@t81 0)) % 0.38/0.61 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.38/0.61 (step @p73 :rule reordering :premises (@p72) :args ((or @t79 @t81))) % 0.38/0.61 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t81 @t82 (@list @t79))) % 0.38/0.61 (step @p75 :rule refl :args (@t59)) % 0.38/0.61 (step @p76 :rule refl :args (@t60)) % 0.38/0.61 (step @p77 :rule bool-and-de-morgan :args (@t2 @t83 true)) % 0.38/0.61 (step @p78 :rule cong :premises (@p77) :args (@t85)) % 0.38/0.61 (step @p79 :rule cong :premises (@p78) :args (@t86)) % 0.38/0.61 (step @p80 :rule exists-elim :args ((= (exists @t3 @t84) @t86))) % 0.38/0.61 (step @p81 :rule trans :premises (@p80 @p79)) % 0.38/0.61 (step @p82 :rule eq-symm :args (@t61 tptp.xb)) % 0.38/0.61 (step @p83 :rule nary_cong :premises (@p59 @p82) :args (@t62)) % 0.38/0.61 (step @p84 :rule cong :premises (@p83) :args (@t63)) % 0.38/0.61 (step @p85 :rule trans :premises (@p84 @p81)) % 0.38/0.61 (step @p86 :rule nary_cong :premises (@p85 @p76 @p75) :args (@t64)) % 0.38/0.61 (step @p87 :rule refl :args (@t65)) % 0.38/0.61 (step @p88 :rule nary_cong :premises (@p62 @p52 @p87) :args (@t69)) % 0.38/0.61 (step @p89 :rule nary_cong :premises (@p88 @p86) :args (@t70)) % 0.38/0.61 (step @p90 :rule cong :premises (@p89) :args (@t71)) % 0.38/0.61 (step @p91 :rule eq_resolve :premises (@p46 @p90)) % 0.38/0.61 (step @p92 :rule not_and :premises (@p91)) % 0.38/0.61 (step @p93 :rule chain_m_resolution :premises (@p92 @p74) :args ((not @t89) @t90 (@list @t81))) % 0.38/0.61 (step @p94 :rule bool-double-not-elim :args (@t87)) % 0.38/0.61 (step @p95 :rule refl :args (@t89)) % 0.38/0.61 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t89 (not @t88)))) % 0.38/0.61 (step @p97 :rule cnf_or_neg :args (@t89 0)) % 0.38/0.61 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.38/0.61 (step @p99 :rule reordering :premises (@p98) :args ((or @t87 @t89))) % 0.38/0.61 (step @p100 :rule chain_m_resolution :premises (@p99 @p93) :args (@t87 @t82 (@list @t89))) % 0.38/0.61 (step @p101 :rule nary_cong :premises (@p85 @p76) :args (@t73)) % 0.38/0.61 (step @p102 :rule bool-double-not-elim :args (@t73)) % 0.38/0.61 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.61 (step @p104 :rule eq_resolve :premises (@p49 @p103)) % 0.38/0.61 (step @p105 :rule and_elim :premises (@p104) :args (0)) % 0.38/0.61 (step @p106 false :rule chain_m_resolution :premises (@p105 @p100) :args (false @t90 (@list @t87))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------