%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG123+1 : 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 08:45:45 AM UTC 2026 % Result : Theorem 0.53s 0.72s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG123+1 : 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 14:08:38 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.72 % SZS status Theorem % 0.53/0.72 % SZS output start Proof % 0.53/0.72 ( % 0.53/0.72 (declare-sort $$unsorted 0) % 0.53/0.72 (declare-const tptp.xq $$unsorted) % 0.53/0.72 (declare-const tptp.xu $$unsorted) % 0.53/0.72 (declare-const tptp.xc $$unsorted) % 0.53/0.72 (declare-const tptp.xa $$unsorted) % 0.53/0.72 (declare-const tptp.xI $$unsorted) % 0.53/0.72 (declare-const tptp.slsdtgt0 (-> $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.sz00 $$unsorted) % 0.53/0.72 (declare-const tptp.sz10 $$unsorted) % 0.53/0.72 (declare-const tptp.aGcdOfAnd0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.xr $$unsorted) % 0.53/0.72 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.misRelativelyPrime0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.72 (declare-const tptp.xb $$unsorted) % 0.53/0.72 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.72 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.53/0.72 (define @t1 () (@var "W0" $$unsorted)) % 0.53/0.72 (define @t2 () (tptp.aElement0 @t1)) % 0.53/0.72 (define @t3 () (@list @t1)) % 0.53/0.72 (define @t4 () (tptp.aElement0 tptp.sz10)) % 0.53/0.72 (define @t5 () (tptp.smndt0 @t1)) % 0.53/0.72 (define @t6 () (@var "W1" $$unsorted)) % 0.53/0.72 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 0.53/0.72 (define @t8 () (tptp.aElement0 @t6)) % 0.53/0.72 (define @t9 () (and @t2 @t8)) % 0.53/0.72 (define @t10 () (@list @t1 @t6)) % 0.53/0.72 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 0.53/0.72 (define @t12 () (@var "W2" $$unsorted)) % 0.53/0.72 (define @t13 () (tptp.sdtpldt0 @t6 @t12)) % 0.53/0.72 (define @t14 () (tptp.aElement0 @t12)) % 0.53/0.72 (define @t15 () (and @t2 @t8 @t14)) % 0.53/0.72 (define @t16 () (@list @t1 @t6 @t12)) % 0.53/0.72 (define @t17 () (tptp.sdtasdt0 @t6 @t1)) % 0.53/0.72 (define @t18 () (tptp.sdtasdt0 @t1 @t12)) % 0.53/0.72 (define @t19 () (tptp.smndt0 tptp.sz10)) % 0.53/0.72 (define @t20 () (= @t6 tptp.sz00)) % 0.53/0.72 (define @t21 () (= @t1 tptp.sz00)) % 0.53/0.72 (define @t22 () (tptp.aSet0 @t1)) % 0.53/0.72 (define @t23 () (tptp.aElementOf0 @t6 @t1)) % 0.53/0.72 (define @t24 () (@list @t6)) % 0.53/0.72 (define @t25 () (tptp.aElementOf0 @t12 @t1)) % 0.53/0.72 (define @t26 () (tptp.aElementOf0 @t12 @t6)) % 0.53/0.72 (define @t27 () (@list @t12)) % 0.53/0.72 (define @t28 () (tptp.aSet0 @t6)) % 0.53/0.72 (define @t29 () (and @t22 @t28)) % 0.53/0.72 (define @t30 () (@var "W3" $$unsorted)) % 0.53/0.72 (define @t31 () (@var "W5" $$unsorted)) % 0.53/0.72 (define @t32 () (@var "W4" $$unsorted)) % 0.53/0.72 (define @t33 () (tptp.aElementOf0 @t30 @t12)) % 0.53/0.72 (define @t34 () (@list @t30)) % 0.53/0.72 (define @t35 () (tptp.aSet0 @t12)) % 0.53/0.72 (define @t36 () (tptp.sdtpldt1 @t1 @t6)) % 0.53/0.72 (define @t37 () (tptp.sdtasasdt0 @t1 @t6)) % 0.53/0.72 (define @t38 () (tptp.sdtasdt0 @t12 @t6)) % 0.53/0.72 (define @t39 () (tptp.aElementOf0 @t38 @t1)) % 0.53/0.72 (define @t40 () (forall @t27 (=> @t14 @t39))) % 0.53/0.72 (define @t41 () (tptp.aElementOf0 @t13 @t1)) % 0.53/0.72 (define @t42 () (forall @t27 (=> @t25 @t41))) % 0.53/0.72 (define @t43 () (and @t42 @t40)) % 0.53/0.72 (define @t44 () (=> @t23 @t43)) % 0.53/0.72 (define @t45 () (forall @t24 @t44)) % 0.53/0.72 (define @t46 () (and @t22 @t45)) % 0.53/0.72 (define @t47 () (tptp.aIdeal0 @t1)) % 0.53/0.72 (define @t48 () (= @t47 @t46)) % 0.53/0.72 (define @t49 () (forall @t3 @t48)) % 0.53/0.72 (define @t50 () (and @t47 (tptp.aIdeal0 @t6))) % 0.53/0.72 (define @t51 () (tptp.aElement0 @t30)) % 0.53/0.72 (define @t52 () (@list @t12 @t30)) % 0.53/0.72 (define @t53 () (tptp.aNaturalNumber0 @t1)) % 0.53/0.72 (define @t54 () (tptp.sbrdtbr0 @t1)) % 0.53/0.72 (define @t55 () (not @t21)) % 0.53/0.72 (define @t56 () (tptp.slsdtgt0 @t1)) % 0.53/0.72 (define @t57 () (tptp.slsdtgt0 tptp.xb)) % 0.53/0.72 (define @t58 () (tptp.slsdtgt0 tptp.xa)) % 0.53/0.72 (define @t59 () (tptp.sdtpldt1 @t58 @t57)) % 0.53/0.72 (define @t60 () (tptp.aIdeal0 tptp.xI)) % 0.53/0.72 (define @t61 () (tptp.sbrdtbr0 tptp.xu)) % 0.53/0.72 (define @t62 () (= tptp.xr tptp.sz00)) % 0.53/0.72 (define @t63 () (tptp.sdtasdt0 tptp.xq tptp.xu)) % 0.53/0.72 (define @t64 () (tptp.smndt0 @t63)) % 0.53/0.72 (define @t65 () (tptp.aElementOf0 @t64 tptp.xI)) % 0.53/0.72 (define @t66 () (tptp.aElementOf0 tptp.xb tptp.xI)) % 0.53/0.72 (define @t67 () (tptp.sdtpldt0 @t64 tptp.xb)) % 0.53/0.72 (define @t68 () (tptp.aElementOf0 tptp.xr tptp.xI)) % 0.53/0.72 (define @t69 () (@var "BOUND_VARIABLE_8000" $$unsorted)) % 0.53/0.72 (define @t70 () (tptp.sdtasdt0 @t69 @t6)) % 0.53/0.72 (define @t71 () (not (tptp.aElement0 @t69))) % 0.53/0.72 (define @t72 () (or @t71 (tptp.aElementOf0 @t70 @t1))) % 0.53/0.72 (define @t73 () (@var "BOUND_VARIABLE_7993" $$unsorted)) % 0.53/0.72 (define @t74 () (tptp.sdtpldt0 @t6 @t73)) % 0.53/0.72 (define @t75 () (or (not (tptp.aElementOf0 @t73 @t1)) (tptp.aElementOf0 @t74 @t1))) % 0.53/0.72 (define @t76 () (and @t75 @t72)) % 0.53/0.72 (define @t77 () (not @t23)) % 0.53/0.72 (define @t78 () (or @t77 @t76)) % 0.53/0.72 (define @t79 () (@list @t6 @t73 @t69)) % 0.53/0.72 (define @t80 () (@list @t73 @t69)) % 0.53/0.72 (define @t81 () (forall @t80 @t78)) % 0.53/0.72 (define @t82 () (forall (@list @t69) @t72)) % 0.53/0.72 (define @t83 () (@list @t12)) % 0.53/0.72 (define @t84 () (forall @t80 @t72)) % 0.53/0.72 (define @t85 () (forall (@list @t73) @t75)) % 0.53/0.72 (define @t86 () (forall @t80 @t75)) % 0.53/0.72 (define @t87 () (and @t86 @t84)) % 0.53/0.72 (define @t88 () (forall @t80 @t76)) % 0.53/0.72 (define @t89 () (or @t77 @t88)) % 0.53/0.72 (define @t90 () (and (forall @t27 (or (not @t25) @t41)) (forall @t27 (or (not @t14) @t39)))) % 0.53/0.72 (define @t91 () (forall @t79 (or (not (tptp.aElementOf0 @t6 tptp.xI)) (and (or (not (tptp.aElementOf0 @t73 tptp.xI)) (tptp.aElementOf0 @t74 tptp.xI)) (or @t71 (tptp.aElementOf0 @t70 tptp.xI)))))) % 0.53/0.72 (define @t92 () (and (tptp.aSet0 tptp.xI) @t91)) % 0.53/0.72 (define @t93 () (= @t60 @t92)) % 0.53/0.72 (define @t94 () (@list false false)) % 0.53/0.72 (define @t95 () (@list false)) % 0.53/0.72 (define @t96 () (tptp.aElementOf0 @t67 tptp.xI)) % 0.53/0.72 (define @t97 () (not @t66)) % 0.53/0.72 (define @t98 () (or @t97 @t96)) % 0.53/0.72 (define @t99 () (and @t98 (or (not @t4) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.sz10 @t64) tptp.xI)))) % 0.53/0.72 (define @t100 () (not @t65)) % 0.53/0.72 (define @t101 () (or @t100 @t99)) % 0.53/0.72 (assume @p1 (forall @t3 (=> @t2 true))) % 0.53/0.72 (assume @p2 (tptp.aElement0 tptp.sz00)) % 0.53/0.72 (assume @p3 @t4) % 0.53/0.72 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t5)))) % 0.53/0.72 (assume @p5 (forall @t10 (=> @t9 (tptp.aElement0 @t7)))) % 0.53/0.72 (assume @p6 (forall @t10 (=> @t9 (tptp.aElement0 @t11)))) % 0.53/0.72 (assume @p7 (forall @t10 (=> @t9 (= @t7 (tptp.sdtpldt0 @t6 @t1))))) % 0.53/0.72 (assume @p8 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t7 @t12) (tptp.sdtpldt0 @t1 @t13))))) % 0.53/0.72 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.53/0.72 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t5) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1)))))) % 0.53/0.72 (assume @p11 (forall @t10 (=> @t9 (= @t11 @t17)))) % 0.53/0.72 (assume @p12 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t11 @t12) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t12)))))) % 0.53/0.72 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.53/0.72 (assume @p14 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t11 @t18)) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t17 (tptp.sdtasdt0 @t12 @t1))))))) % 0.53/0.72 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t19 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t19)))))) % 0.53/0.72 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.53/0.72 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or @t21 @t20))))) % 0.53/0.72 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 0.53/0.72 (assume @p19 (forall @t3 (=> @t22 true))) % 0.53/0.72 (assume @p20 (forall @t3 (=> @t22 (forall @t24 (=> @t23 @t8))))) % 0.53/0.72 (assume @p21 (forall @t10 (=> @t29 (=> (and (forall @t27 (=> @t25 @t26)) (forall @t27 (=> @t26 @t25))) (= @t1 @t6))))) % 0.53/0.72 (assume @p22 (forall @t10 (=> @t29 (forall @t27 (= (= @t12 @t36) (and @t35 (forall @t34 (= @t33 (exists (@list @t32 @t31) (and (tptp.aElementOf0 @t32 @t1) (tptp.aElementOf0 @t31 @t6) (= (tptp.sdtpldt0 @t32 @t31) @t30))))))))))) % 0.53/0.72 (assume @p23 (forall @t10 (=> @t29 (forall @t27 (= (= @t12 @t37) (and @t35 (forall @t34 (= @t33 (and (tptp.aElementOf0 @t30 @t1) (tptp.aElementOf0 @t30 @t6)))))))))) % 0.53/0.72 (assume @p24 @t49) % 0.53/0.72 (assume @p25 (forall @t10 (=> @t50 (tptp.aIdeal0 @t36)))) % 0.53/0.72 (assume @p26 (forall @t10 (=> @t50 (tptp.aIdeal0 @t37)))) % 0.53/0.72 (assume @p27 (forall @t16 (=> (and @t2 @t8 (tptp.aIdeal0 @t12)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t6 @t12) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t6)) @t12))))) % 0.53/0.72 (assume @p28 (forall @t10 (=> @t50 (=> (forall @t27 (=> @t14 (tptp.aElementOf0 @t12 @t36))) (forall @t52 (=> (and @t14 @t51) (exists (@list @t32) (and (tptp.aElement0 @t32) (tptp.sdteqdtlpzmzozddtrp0 @t32 @t12 @t1) (tptp.sdteqdtlpzmzozddtrp0 @t32 @t30 @t6))))))))) % 0.53/0.72 (assume @p29 (forall @t3 (=> @t53 true))) % 0.53/0.72 (assume @p30 (forall @t3 (=> (and @t2 @t55) (tptp.aNaturalNumber0 @t54)))) % 0.53/0.72 (assume @p31 (forall @t10 (=> (and @t53 (tptp.aNaturalNumber0 @t6)) (=> (tptp.iLess0 @t1 @t6) true)))) % 0.53/0.72 (assume @p32 (forall @t10 (=> (and @t2 @t8 (not @t20)) (exists @t52 (and @t14 @t51 (= @t1 (tptp.sdtpldt0 @t38 @t30)) (=> (not (= @t30 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 @t30) (tptp.sbrdtbr0 @t6)))))))) % 0.53/0.72 (assume @p33 (forall @t10 (=> @t9 (= (tptp.doDivides0 @t1 @t6) (exists @t27 (and @t14 (= @t18 @t6))))))) % 0.53/0.72 (assume @p34 (forall @t3 (=> @t2 (forall @t24 (= (tptp.aDivisorOf0 @t6 @t1) (and @t8 (tptp.doDivides0 @t6 @t1))))))) % 0.53/0.72 (assume @p35 (forall @t10 (=> @t9 (forall @t27 (= (tptp.aGcdOfAnd0 @t12 @t1 @t6) (and (tptp.aDivisorOf0 @t12 @t1) (tptp.aDivisorOf0 @t12 @t6) (forall @t34 (=> (and (tptp.aDivisorOf0 @t30 @t1) (tptp.aDivisorOf0 @t30 @t6)) (tptp.doDivides0 @t30 @t12))))))))) % 0.53/0.72 (assume @p36 (forall @t10 (=> @t9 (= (tptp.misRelativelyPrime0 @t1 @t6) (tptp.aGcdOfAnd0 tptp.sz10 @t1 @t6))))) % 0.53/0.72 (assume @p37 (forall @t3 (=> @t2 (forall @t24 (= (= @t6 @t56) (and @t28 (forall @t27 (= @t26 (exists @t34 (and @t51 (= (tptp.sdtasdt0 @t1 @t30) @t12))))))))))) % 0.53/0.72 (assume @p38 (forall @t3 (=> @t2 (tptp.aIdeal0 @t56)))) % 0.53/0.72 (assume @p39 (and (tptp.aElement0 tptp.xa) (tptp.aElement0 tptp.xb))) % 0.53/0.72 (assume @p40 (or (not (= tptp.xa tptp.sz00)) (not (= tptp.xb tptp.sz00)))) % 0.53/0.72 (assume @p41 (tptp.aGcdOfAnd0 tptp.xc tptp.xa tptp.xb)) % 0.53/0.72 (assume @p42 (and @t60 (= tptp.xI @t59))) % 0.53/0.72 (assume @p43 (and (tptp.aElementOf0 tptp.sz00 @t58) (tptp.aElementOf0 tptp.xa @t58) (tptp.aElementOf0 tptp.sz00 @t57) (tptp.aElementOf0 tptp.xb @t57))) % 0.53/0.72 (assume @p44 (exists @t3 (and (tptp.aElementOf0 @t1 @t59) @t55))) % 0.53/0.72 (assume @p45 (and (tptp.aElementOf0 tptp.xu tptp.xI) (not (= tptp.xu tptp.sz00)) (forall @t3 (=> (and (tptp.aElementOf0 @t1 tptp.xI) @t55) (not (tptp.iLess0 @t54 @t61)))))) % 0.53/0.72 (assume @p46 (not (and (tptp.aDivisorOf0 tptp.xu tptp.xa) (tptp.aDivisorOf0 tptp.xu tptp.xb)))) % 0.53/0.72 (assume @p47 (exists @t10 (and @t2 @t8 (= tptp.xu (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xa @t1) (tptp.sdtasdt0 tptp.xb @t6)))))) % 0.53/0.72 (assume @p48 (not (not (tptp.doDivides0 tptp.xu tptp.xa)))) % 0.53/0.72 (assume @p49 (not (tptp.doDivides0 tptp.xu tptp.xb))) % 0.53/0.72 (assume @p50 (and (tptp.aElement0 tptp.xq) (tptp.aElement0 tptp.xr) (= tptp.xb (tptp.sdtpldt0 @t63 tptp.xr)) (or @t62 (tptp.iLess0 (tptp.sbrdtbr0 tptp.xr) @t61)))) % 0.53/0.72 (assume @p51 (not @t62)) % 0.53/0.72 (assume @p52 @t65) % 0.53/0.72 (assume @p53 @t66) % 0.53/0.72 (assume @p54 (= tptp.xr @t67)) % 0.53/0.72 (assume @p55 (not @t68)) % 0.53/0.72 (assume @p56 true) % 0.53/0.72 (step @p57 :rule evaluate :args ((= false true))) % 0.53/0.72 (step @p58 :rule quant-merge-prenex :args ((= (forall @t24 @t81) (forall @t79 @t78)))) % 0.53/0.72 (step @p59 :rule alpha_equiv :args (@t82 (@list @t69) @t83)) % 0.53/0.72 (step @p60 :rule quant-unused-vars :args ((= @t84 @t82))) % 0.53/0.72 (step @p61 :rule trans :premises (@p60 @p59)) % 0.53/0.72 (step @p62 :rule alpha_equiv :args (@t85 (@list @t73) @t83)) % 0.53/0.72 (step @p63 :rule quant-unused-vars :args ((= @t86 @t85))) % 0.53/0.72 (step @p64 :rule trans :premises (@p63 @p62)) % 0.53/0.72 (step @p65 :rule nary_cong :premises (@p64 @p61) :args (@t87)) % 0.53/0.72 (step @p66 :rule quant-miniscope-and :args ((= @t88 @t87))) % 0.53/0.72 (step @p67 :rule trans :premises (@p66 @p65)) % 0.53/0.72 (step @p68 :rule refl :args (@t77)) % 0.53/0.72 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t89)) % 0.53/0.72 (step @p70 :rule quant-miniscope-or :args ((= @t81 @t89))) % 0.53/0.72 (step @p71 :rule trans :premises (@p70 @p69)) % 0.53/0.72 (step @p72 :rule symm :premises (@p71)) % 0.53/0.72 (step @p73 :rule cong :premises (@p72) :args ((forall @t24 (or @t77 @t90)))) % 0.53/0.72 (step @p74 :rule trans :premises (@p73 @p58)) % 0.53/0.72 (step @p75 :rule bool-impl-elim :args (@t23 @t90)) % 0.53/0.72 (step @p76 :rule cong :premises (@p75) :args ((forall @t24 (=> @t23 @t90)))) % 0.53/0.72 (step @p77 :rule trans :premises (@p76 @p74)) % 0.53/0.72 (step @p78 :rule bool-impl-elim :args (@t14 @t39)) % 0.53/0.72 (step @p79 :rule cong :premises (@p78) :args (@t40)) % 0.53/0.72 (step @p80 :rule bool-impl-elim :args (@t25 @t41)) % 0.53/0.72 (step @p81 :rule cong :premises (@p80) :args (@t42)) % 0.53/0.72 (step @p82 :rule nary_cong :premises (@p81 @p79) :args (@t43)) % 0.53/0.72 (step @p83 :rule refl :args (@t23)) % 0.53/0.72 (step @p84 :rule cong :premises (@p83 @p82) :args (@t44)) % 0.53/0.72 (step @p85 :rule cong :premises (@p84) :args (@t45)) % 0.53/0.72 (step @p86 :rule trans :premises (@p85 @p77)) % 0.53/0.72 (step @p87 :rule refl :args (@t22)) % 0.53/0.72 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t46)) % 0.53/0.72 (step @p89 :rule refl :args (@t47)) % 0.53/0.72 (step @p90 :rule cong :premises (@p89 @p88) :args (@t48)) % 0.53/0.72 (step @p91 :rule cong :premises (@p90) :args (@t49)) % 0.53/0.72 (step @p92 :rule eq_resolve :premises (@p24 @p91)) % 0.53/0.72 (step @p93 :rule instantiate :premises (@p92) :args ((@list tptp.xI))) % 0.53/0.72 (step @p94 :rule and_elim :premises (@p42) :args (0)) % 0.53/0.72 (step @p95 :rule cnf_equiv_pos1 :args (@t93)) % 0.53/0.72 (step @p96 :rule reordering :premises (@p95) :args ((or (not @t60) @t92 (not @t93)))) % 0.53/0.72 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p93) :args (@t92 @t94 (@list @t60 @t93))) % 0.53/0.72 (step @p98 :rule cnf_and_pos :args (@t92 1)) % 0.53/0.72 (step @p99 :rule reordering :premises (@p98) :args ((or @t91 (not @t92)))) % 0.53/0.72 (step @p100 :rule chain_m_resolution :premises (@p99 @p97) :args (@t91 @t95 (@list @t92))) % 0.53/0.72 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t64 tptp.xb tptp.sz10))) % 0.53/0.72 (step @p102 :rule cnf_or_pos :args (@t101)) % 0.53/0.72 (step @p103 :rule reordering :premises (@p102) :args ((or @t100 @t99 (not @t101)))) % 0.53/0.72 (step @p104 :rule chain_m_resolution :premises (@p103 @p52 @p101) :args (@t99 @t94 (@list @t65 @t101))) % 0.53/0.72 (step @p105 :rule cnf_and_pos :args (@t99 0)) % 0.53/0.72 (step @p106 :rule reordering :premises (@p105) :args ((or @t98 (not @t99)))) % 0.53/0.72 (step @p107 :rule chain_m_resolution :premises (@p106 @p104) :args (@t98 @t95 (@list @t99))) % 0.53/0.72 (step @p108 :rule cnf_or_pos :args (@t98)) % 0.53/0.72 (step @p109 :rule reordering :premises (@p108) :args ((or @t97 @t96 (not @t98)))) % 0.53/0.72 (step @p110 :rule chain_m_resolution :premises (@p109 @p53 @p107) :args (@t96 @t94 (@list @t66 @t98))) % 0.53/0.72 (step @p111 :rule true_intro :premises (@p110)) % 0.53/0.72 (step @p112 :rule refl :args (tptp.xI)) % 0.53/0.72 (step @p113 :rule cong :premises (@p54 @p112) :args (@t68)) % 0.53/0.72 (step @p114 :rule false_intro :premises (@p55)) % 0.53/0.72 (step @p115 :rule symm :premises (@p114)) % 0.53/0.72 (step @p116 :rule trans :premises (@p115 @p113 @p111)) % 0.53/0.72 (step @p117 false :rule eq_resolve :premises (@p116 @p57)) % 0.53/0.72 ) % 0.53/0.72 % SZS output end Proof % 0.53/0.72 % cvc5 exiting %------------------------------------------------------------------------------