%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG099+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 : n010.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 08:45:40 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 : RNG099+2 : 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 % 0.15/0.34 % Computer : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:06:55 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.50 %----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 $$unsorted 0) % 0.37/0.61 (declare-const tptp.xa $$unsorted) % 0.37/0.61 (declare-const tptp.xb $$unsorted) % 0.37/0.61 (declare-const tptp.xx $$unsorted) % 0.37/0.61 (declare-const tptp.xI $$unsorted) % 0.37/0.61 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.sz00 $$unsorted) % 0.37/0.61 (declare-const tptp.sz10 $$unsorted) % 0.37/0.61 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.xy $$unsorted) % 0.37/0.61 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.xw $$unsorted) % 0.37/0.61 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.xJ $$unsorted) % 0.37/0.61 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.61 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.61 (define @t2 () (tptp.aElement0 @t1)) % 0.37/0.61 (define @t3 () (@list @t1)) % 0.37/0.61 (define @t4 () (tptp.smndt0 @t1)) % 0.37/0.61 (define @t5 () (@var "W1" $$unsorted)) % 0.37/0.61 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.37/0.61 (define @t7 () (tptp.aElement0 @t6)) % 0.37/0.61 (define @t8 () (tptp.aElement0 @t5)) % 0.37/0.61 (define @t9 () (and @t2 @t8)) % 0.37/0.61 (define @t10 () (@list @t1 @t5)) % 0.37/0.61 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.37/0.61 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 0.37/0.61 (define @t13 () (tptp.aElement0 @t12)) % 0.37/0.61 (define @t14 () (forall @t10 (=> @t9 @t13))) % 0.37/0.61 (define @t15 () (@var "W2" $$unsorted)) % 0.37/0.61 (define @t16 () (tptp.sdtpldt0 @t5 @t15)) % 0.37/0.61 (define @t17 () (tptp.aElement0 @t15)) % 0.37/0.61 (define @t18 () (and @t2 @t8 @t17)) % 0.37/0.61 (define @t19 () (@list @t1 @t5 @t15)) % 0.37/0.61 (define @t20 () (tptp.sdtasdt0 @t5 @t1)) % 0.37/0.61 (define @t21 () (tptp.smndt0 tptp.sz10)) % 0.37/0.61 (define @t22 () (tptp.aSet0 @t1)) % 0.37/0.61 (define @t23 () (tptp.aElementOf0 @t5 @t1)) % 0.37/0.61 (define @t24 () (@list @t5)) % 0.37/0.61 (define @t25 () (forall @t24 (=> @t23 @t8))) % 0.37/0.61 (define @t26 () (=> @t22 @t25)) % 0.37/0.61 (define @t27 () (forall @t3 @t26)) % 0.37/0.61 (define @t28 () (tptp.aElementOf0 @t15 @t1)) % 0.37/0.61 (define @t29 () (tptp.aElementOf0 @t15 @t5)) % 0.37/0.61 (define @t30 () (@list @t15)) % 0.37/0.61 (define @t31 () (and @t22 (tptp.aSet0 @t5))) % 0.37/0.61 (define @t32 () (@var "W3" $$unsorted)) % 0.37/0.61 (define @t33 () (@var "W5" $$unsorted)) % 0.37/0.61 (define @t34 () (@var "W4" $$unsorted)) % 0.37/0.61 (define @t35 () (tptp.aElementOf0 @t32 @t15)) % 0.37/0.61 (define @t36 () (@list @t32)) % 0.37/0.61 (define @t37 () (tptp.aSet0 @t15)) % 0.37/0.61 (define @t38 () (tptp.sdtpldt1 @t1 @t5)) % 0.37/0.61 (define @t39 () (tptp.sdtasasdt0 @t1 @t5)) % 0.37/0.61 (define @t40 () (tptp.aIdeal0 @t1)) % 0.37/0.61 (define @t41 () (and @t40 (tptp.aIdeal0 @t5))) % 0.37/0.61 (define @t42 () (tptp.aSet0 tptp.xJ)) % 0.37/0.61 (define @t43 () (tptp.aElementOf0 @t5 tptp.xI)) % 0.37/0.61 (define @t44 () (tptp.aSet0 tptp.xI)) % 0.37/0.61 (define @t45 () (tptp.aElement0 tptp.xy)) % 0.37/0.61 (define @t46 () (tptp.aElement0 tptp.xx)) % 0.37/0.61 (define @t47 () (tptp.aElementOf0 tptp.xb tptp.xJ)) % 0.37/0.61 (define @t48 () (tptp.aElementOf0 tptp.xa tptp.xI)) % 0.37/0.61 (define @t49 () (tptp.sdtasdt0 tptp.xx tptp.xb)) % 0.37/0.61 (define @t50 () (tptp.sdtasdt0 tptp.xy tptp.xa)) % 0.37/0.61 (define @t51 () (tptp.sdtpldt0 @t50 @t49)) % 0.37/0.61 (define @t52 () (= tptp.xw @t51)) % 0.37/0.61 (define @t53 () (tptp.smndt0 tptp.xx)) % 0.37/0.61 (define @t54 () (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xw @t53) tptp.xI)) % 0.37/0.61 (define @t55 () (tptp.smndt0 tptp.xy)) % 0.37/0.61 (define @t56 () (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xw @t55) tptp.xJ)) % 0.37/0.61 (define @t57 () (tptp.sdteqdtlpzmzozddtrp0 @t1 tptp.xy tptp.xJ)) % 0.37/0.61 (define @t58 () (tptp.aElementOf0 (tptp.sdtpldt0 @t1 @t55) tptp.xJ)) % 0.37/0.61 (define @t59 () (or @t58 @t57)) % 0.37/0.61 (define @t60 () (tptp.sdteqdtlpzmzozddtrp0 @t1 tptp.xx tptp.xI)) % 0.37/0.61 (define @t61 () (tptp.aElementOf0 (tptp.sdtpldt0 @t1 @t53) tptp.xI)) % 0.37/0.61 (define @t62 () (or @t61 @t60)) % 0.37/0.61 (define @t63 () (and @t2 @t62 @t59)) % 0.37/0.61 (define @t64 () (exists @t3 @t63)) % 0.37/0.61 (define @t65 () (not @t64)) % 0.37/0.61 (define @t66 () (not @t2)) % 0.37/0.61 (define @t67 () (not @t59)) % 0.37/0.61 (define @t68 () (not @t62)) % 0.37/0.61 (define @t69 () (or @t66 @t68 @t67)) % 0.37/0.61 (define @t70 () (forall @t3 (not @t63))) % 0.37/0.61 (define @t71 () (not @t70)) % 0.37/0.61 (define @t72 () (not @t56)) % 0.37/0.61 (define @t73 () (and @t72 (not (tptp.sdteqdtlpzmzozddtrp0 tptp.xw tptp.xy tptp.xJ)))) % 0.37/0.61 (define @t74 () (not @t73)) % 0.37/0.61 (define @t75 () (@list false)) % 0.37/0.61 (define @t76 () (not @t54)) % 0.37/0.61 (define @t77 () (and @t76 (not (tptp.sdteqdtlpzmzozddtrp0 tptp.xw tptp.xx tptp.xI)))) % 0.37/0.61 (define @t78 () (not @t77)) % 0.37/0.61 (define @t79 () (tptp.aElement0 tptp.xw)) % 0.37/0.61 (define @t80 () (not @t79)) % 0.37/0.61 (define @t81 () (or @t80 @t77 @t73)) % 0.37/0.61 (define @t82 () (not @t8)) % 0.37/0.61 (define @t83 () (or @t66 @t82)) % 0.37/0.61 (define @t84 () (not @t9)) % 0.37/0.61 (define @t85 () (@var "BOUND_VARIABLE_7783" $$unsorted)) % 0.37/0.61 (define @t86 () (tptp.aElement0 @t85)) % 0.37/0.61 (define @t87 () (not (tptp.aElementOf0 @t85 @t1))) % 0.37/0.61 (define @t88 () (not @t22)) % 0.37/0.61 (define @t89 () (or @t87 @t86)) % 0.37/0.61 (define @t90 () (or @t88 @t89)) % 0.37/0.61 (define @t91 () (forall (@list @t1 @t85) @t90)) % 0.37/0.61 (define @t92 () (@list @t85)) % 0.37/0.61 (define @t93 () (forall @t92 @t90)) % 0.37/0.61 (define @t94 () (forall @t92 @t89)) % 0.37/0.61 (define @t95 () (or @t88 @t94)) % 0.37/0.61 (define @t96 () (forall @t24 (or (not @t23) @t8))) % 0.37/0.61 (define @t97 () (tptp.aElement0 tptp.xb)) % 0.37/0.61 (define @t98 () (not @t47)) % 0.37/0.61 (define @t99 () (not @t42)) % 0.37/0.61 (define @t100 () (or @t99 @t98 @t97)) % 0.37/0.61 (define @t101 () (@list false false false)) % 0.37/0.61 (define @t102 () (tptp.aElement0 @t49)) % 0.37/0.61 (define @t103 () (not @t97)) % 0.37/0.61 (define @t104 () (not @t46)) % 0.37/0.61 (define @t105 () (or @t104 @t103 @t102)) % 0.37/0.61 (define @t106 () (tptp.aElement0 tptp.xa)) % 0.37/0.61 (define @t107 () (not @t48)) % 0.37/0.61 (define @t108 () (not @t44)) % 0.37/0.61 (define @t109 () (or @t108 @t107 @t106)) % 0.37/0.61 (define @t110 () (tptp.aElement0 @t50)) % 0.37/0.61 (define @t111 () (not @t106)) % 0.37/0.61 (define @t112 () (not @t45)) % 0.37/0.61 (define @t113 () (or @t112 @t111 @t110)) % 0.37/0.61 (define @t114 () (tptp.aElement0 @t51)) % 0.37/0.61 (define @t115 () (not @t102)) % 0.37/0.61 (define @t116 () (not @t110)) % 0.37/0.61 (define @t117 () (or @t116 @t115 @t114)) % 0.37/0.61 (define @t118 () (not @t114)) % 0.37/0.61 (define @t119 () (not @t52)) % 0.37/0.61 (define @t120 () (and @t52 @t80)) % 0.37/0.61 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.61 (assume @p2 (tptp.aElement0 tptp.sz00)) % 0.37/0.61 (assume @p3 (tptp.aElement0 tptp.sz10)) % 0.37/0.61 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 0.37/0.61 (assume @p5 @t11) % 0.37/0.61 (assume @p6 @t14) % 0.37/0.61 (assume @p7 (forall @t10 (=> @t9 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 0.37/0.61 (assume @p8 (forall @t19 (=> @t18 (= (tptp.sdtpldt0 @t6 @t15) (tptp.sdtpldt0 @t1 @t16))))) % 0.37/0.61 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.37/0.61 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.37/0.61 (assume @p11 (forall @t10 (=> @t9 (= @t12 @t20)))) % 0.37/0.61 (assume @p12 (forall @t19 (=> @t18 (= (tptp.sdtasdt0 @t12 @t15) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t15)))))) % 0.37/0.61 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.37/0.61 (assume @p14 (forall @t19 (=> @t18 (and (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtpldt0 @t12 (tptp.sdtasdt0 @t1 @t15))) (= (tptp.sdtasdt0 @t16 @t1) (tptp.sdtpldt0 @t20 (tptp.sdtasdt0 @t15 @t1))))))) % 0.37/0.61 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t21 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t21)))))) % 0.37/0.61 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.37/0.61 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or (= @t1 tptp.sz00) (= @t5 tptp.sz00)))))) % 0.37/0.61 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 0.37/0.61 (assume @p19 (forall @t3 (=> @t22 true))) % 0.37/0.61 (assume @p20 @t27) % 0.37/0.61 (assume @p21 (forall @t10 (=> @t31 (=> (and (forall @t30 (=> @t28 @t29)) (forall @t30 (=> @t29 @t28))) (= @t1 @t5))))) % 0.37/0.61 (assume @p22 (forall @t10 (=> @t31 (forall @t30 (= (= @t15 @t38) (and @t37 (forall @t36 (= @t35 (exists (@list @t34 @t33) (and (tptp.aElementOf0 @t34 @t1) (tptp.aElementOf0 @t33 @t5) (= (tptp.sdtpldt0 @t34 @t33) @t32))))))))))) % 0.37/0.61 (assume @p23 (forall @t10 (=> @t31 (forall @t30 (= (= @t15 @t39) (and @t37 (forall @t36 (= @t35 (and (tptp.aElementOf0 @t32 @t1) (tptp.aElementOf0 @t32 @t5)))))))))) % 0.37/0.61 (assume @p24 (forall @t3 (= @t40 (and @t22 (forall @t24 (=> @t23 (and (forall @t30 (=> @t28 (tptp.aElementOf0 @t16 @t1))) (forall @t30 (=> @t17 (tptp.aElementOf0 (tptp.sdtasdt0 @t15 @t5) @t1)))))))))) % 0.37/0.61 (assume @p25 (forall @t10 (=> @t41 (tptp.aIdeal0 @t38)))) % 0.37/0.61 (assume @p26 (forall @t10 (=> @t41 (tptp.aIdeal0 @t39)))) % 0.37/0.61 (assume @p27 (forall @t19 (=> (and @t2 @t8 (tptp.aIdeal0 @t15)) (= (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t15) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5)) @t15))))) % 0.37/0.61 (assume @p28 (and @t44 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xI) (and (forall @t24 (=> @t43 (tptp.aElementOf0 @t6 tptp.xI))) (forall @t24 (=> @t8 (tptp.aElementOf0 @t20 tptp.xI)))))) (tptp.aIdeal0 tptp.xI) @t42 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xJ) (and (forall @t24 (=> (tptp.aElementOf0 @t5 tptp.xJ) (tptp.aElementOf0 @t6 tptp.xJ))) (forall @t24 (=> @t8 (tptp.aElementOf0 @t20 tptp.xJ)))))) (tptp.aIdeal0 tptp.xJ))) % 0.37/0.61 (assume @p29 (forall @t3 (=> @t2 (and (exists (@list @t5 @t15) (and @t43 (tptp.aElementOf0 @t15 tptp.xJ) (= @t16 @t1))) (tptp.aElementOf0 @t1 (tptp.sdtpldt1 tptp.xI tptp.xJ)))))) % 0.37/0.61 (assume @p30 (and @t46 @t45)) % 0.37/0.61 (assume @p31 (and @t48 @t47 (= (tptp.sdtpldt0 tptp.xa tptp.xb) tptp.sz10))) % 0.37/0.61 (assume @p32 @t52) % 0.37/0.61 (assume @p33 @t54) % 0.37/0.61 (assume @p34 @t56) % 0.37/0.61 (assume @p35 @t65) % 0.37/0.61 (assume @p36 true) % 0.37/0.61 (step @p37 :rule bool-double-not-elim :args ((forall @t3 (or @t66 (and (not @t61) (not @t60)) (and (not @t58) (not @t57)))))) % 0.37/0.61 (step @p38 :rule bool-or-de-morgan :args (@t58 @t57 false)) % 0.37/0.61 (step @p39 :rule bool-or-de-morgan :args (@t61 @t60 false)) % 0.37/0.61 (step @p40 :rule refl :args (@t66)) % 0.37/0.61 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args (@t69)) % 0.37/0.61 (step @p42 :rule aci_norm :args ((= (or @t66 (or @t68 @t67)) @t69))) % 0.37/0.61 (step @p43 :rule bool-and-de-morgan :args (@t62 @t59 true)) % 0.37/0.61 (step @p44 :rule nary_cong :premises (@p40 @p43) :args ((or @t66 (not (and @t62 @t59))))) % 0.37/0.61 (step @p45 :rule bool-and-de-morgan :args (@t2 @t62 (and @t59))) % 0.37/0.61 (step @p46 :rule trans :premises (@p45 @p44)) % 0.37/0.61 (step @p47 :rule trans :premises (@p46 @p42)) % 0.37/0.61 (step @p48 :rule trans :premises (@p47 @p41)) % 0.37/0.61 (step @p49 :rule cong :premises (@p48) :args (@t70)) % 0.37/0.61 (step @p50 :rule cong :premises (@p49) :args (@t71)) % 0.37/0.61 (step @p51 :rule exists-elim :args ((= @t64 @t71))) % 0.37/0.61 (step @p52 :rule trans :premises (@p51 @p50)) % 0.37/0.61 (step @p53 :rule cong :premises (@p52) :args (@t65)) % 0.37/0.61 (step @p54 :rule trans :premises (@p53 @p37)) % 0.37/0.61 (step @p55 :rule eq_resolve :premises (@p35 @p54)) % 0.37/0.61 (step @p56 :rule instantiate :premises (@p55) :args ((@list tptp.xw))) % 0.37/0.61 (step @p57 :rule cnf_and_pos :args (@t73 0)) % 0.37/0.61 (step @p58 :rule reordering :premises (@p57) :args ((or @t72 @t74))) % 0.37/0.61 (step @p59 :rule chain_m_resolution :premises (@p58 @p34) :args (@t74 @t75 (@list @t56))) % 0.37/0.61 (step @p60 :rule cnf_and_pos :args (@t77 0)) % 0.37/0.61 (step @p61 :rule reordering :premises (@p60) :args ((or @t76 @t78))) % 0.37/0.61 (step @p62 :rule chain_m_resolution :premises (@p61 @p33) :args (@t78 @t75 (@list @t54))) % 0.37/0.61 (step @p63 :rule cnf_or_pos :args (@t81)) % 0.37/0.61 (step @p64 :rule reordering :premises (@p63) :args ((or @t80 @t77 @t73 (not @t81)))) % 0.37/0.61 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p59 @p56) :args (@t80 (@list true true false) (@list @t77 @t73 @t81))) % 0.37/0.61 (step @p66 :rule aci_norm :args ((= (or @t83 @t7) (or @t66 @t82 @t7)))) % 0.37/0.61 (step @p67 :rule refl :args (@t7)) % 0.37/0.61 (step @p68 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 0.37/0.61 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t84 @t7))) % 0.37/0.61 (step @p70 :rule trans :premises (@p69 @p66)) % 0.37/0.61 (step @p71 :rule bool-impl-elim :args (@t9 @t7)) % 0.37/0.61 (step @p72 :rule trans :premises (@p71 @p70)) % 0.37/0.61 (step @p73 :rule cong :premises (@p72) :args (@t11)) % 0.37/0.61 (step @p74 :rule eq_resolve :premises (@p5 @p73)) % 0.37/0.61 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t50 @t49))) % 0.37/0.61 (step @p76 :rule aci_norm :args ((= (or @t83 @t13) (or @t66 @t82 @t13)))) % 0.37/0.61 (step @p77 :rule refl :args (@t13)) % 0.37/0.61 (step @p78 :rule nary_cong :premises (@p68 @p77) :args ((or @t84 @t13))) % 0.37/0.61 (step @p79 :rule trans :premises (@p78 @p76)) % 0.37/0.61 (step @p80 :rule bool-impl-elim :args (@t9 @t13)) % 0.37/0.61 (step @p81 :rule trans :premises (@p80 @p79)) % 0.37/0.61 (step @p82 :rule cong :premises (@p81) :args (@t14)) % 0.37/0.61 (step @p83 :rule eq_resolve :premises (@p6 @p82)) % 0.37/0.61 (step @p84 :rule instantiate :premises (@p83) :args ((@list tptp.xx tptp.xb))) % 0.37/0.61 (step @p85 :rule aci_norm :args ((= @t90 (or @t88 @t87 @t86)))) % 0.37/0.61 (step @p86 :rule cong :premises (@p85) :args (@t91)) % 0.37/0.61 (step @p87 :rule quant-merge-prenex :args ((= (forall @t3 @t93) @t91))) % 0.37/0.61 (step @p88 :rule alpha_equiv :args (@t94 (@list @t85) (@list @t5))) % 0.37/0.61 (step @p89 :rule refl :args (@t88)) % 0.37/0.61 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t95)) % 0.37/0.61 (step @p91 :rule quant-miniscope-or :args ((= @t93 @t95))) % 0.37/0.61 (step @p92 :rule trans :premises (@p91 @p90)) % 0.37/0.61 (step @p93 :rule symm :premises (@p92)) % 0.37/0.61 (step @p94 :rule cong :premises (@p93) :args ((forall @t3 (or @t88 @t96)))) % 0.37/0.61 (step @p95 :rule trans :premises (@p94 @p87)) % 0.37/0.61 (step @p96 :rule trans :premises (@p95 @p86)) % 0.37/0.61 (step @p97 :rule bool-impl-elim :args (@t22 @t96)) % 0.37/0.61 (step @p98 :rule cong :premises (@p97) :args ((forall @t3 (=> @t22 @t96)))) % 0.37/0.61 (step @p99 :rule trans :premises (@p98 @p96)) % 0.37/0.61 (step @p100 :rule bool-impl-elim :args (@t23 @t8)) % 0.37/0.61 (step @p101 :rule cong :premises (@p100) :args (@t25)) % 0.37/0.61 (step @p102 :rule refl :args (@t22)) % 0.37/0.61 (step @p103 :rule cong :premises (@p102 @p101) :args (@t26)) % 0.37/0.61 (step @p104 :rule cong :premises (@p103) :args (@t27)) % 0.37/0.61 (step @p105 :rule trans :premises (@p104 @p99)) % 0.37/0.61 (step @p106 :rule eq_resolve :premises (@p20 @p105)) % 0.37/0.61 (step @p107 :rule instantiate :premises (@p106) :args ((@list tptp.xJ tptp.xb))) % 0.37/0.61 (step @p108 :rule and_elim :premises (@p31) :args (1)) % 0.37/0.61 (step @p109 :rule and_elim :premises (@p28) :args (3)) % 0.37/0.61 (step @p110 :rule cnf_or_pos :args (@t100)) % 0.37/0.61 (step @p111 :rule reordering :premises (@p110) :args ((or @t99 @t98 @t97 (not @t100)))) % 0.37/0.61 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p108 @p107) :args (@t97 @t101 (@list @t42 @t47 @t100))) % 0.37/0.61 (step @p113 :rule and_elim :premises (@p30) :args (0)) % 0.37/0.61 (step @p114 :rule cnf_or_pos :args (@t105)) % 0.37/0.61 (step @p115 :rule reordering :premises (@p114) :args ((or @t104 @t102 @t103 (not @t105)))) % 0.37/0.61 (step @p116 :rule chain_m_resolution :premises (@p115 @p113 @p112 @p84) :args (@t102 @t101 (@list @t46 @t97 @t105))) % 0.37/0.61 (step @p117 :rule instantiate :premises (@p83) :args ((@list tptp.xy tptp.xa))) % 0.37/0.61 (step @p118 :rule instantiate :premises (@p106) :args ((@list tptp.xI tptp.xa))) % 0.37/0.61 (step @p119 :rule and_elim :premises (@p31) :args (0)) % 0.37/0.61 (step @p120 :rule and_elim :premises (@p28) :args (0)) % 0.37/0.61 (step @p121 :rule cnf_or_pos :args (@t109)) % 0.37/0.61 (step @p122 :rule reordering :premises (@p121) :args ((or @t108 @t107 @t106 (not @t109)))) % 0.37/0.61 (step @p123 :rule chain_m_resolution :premises (@p122 @p120 @p119 @p118) :args (@t106 @t101 (@list @t44 @t48 @t109))) % 0.37/0.61 (step @p124 :rule and_elim :premises (@p30) :args (1)) % 0.37/0.61 (step @p125 :rule cnf_or_pos :args (@t113)) % 0.37/0.61 (step @p126 :rule reordering :premises (@p125) :args ((or @t112 @t110 @t111 (not @t113)))) % 0.37/0.61 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p123 @p117) :args (@t110 @t101 (@list @t45 @t106 @t113))) % 0.37/0.61 (step @p128 :rule cnf_or_pos :args (@t117)) % 0.37/0.61 (step @p129 :rule reordering :premises (@p128) :args ((or @t116 @t115 @t114 (not @t117)))) % 0.37/0.61 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p116 @p75) :args (@t114 @t101 (@list @t110 @t102 @t117))) % 0.37/0.61 (step @p131 :rule refl :args (@t118)) % 0.37/0.61 (step @p132 :rule bool-double-not-elim :args (@t79)) % 0.37/0.61 (step @p133 :rule refl :args (@t119)) % 0.37/0.61 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131) :args ((or @t119 (not @t80) @t118))) % 0.37/0.61 (assume-push @p150 @t52) % 0.37/0.61 (assume-push @p151 @t80) % 0.37/0.61 (step @p137 :rule false_intro :premises (@p65)) % 0.37/0.61 (step @p138 :rule symm :premises (@p32)) % 0.37/0.61 (step @p139 :rule cong :premises (@p138) :args (@t114)) % 0.37/0.61 (step @p140 :rule trans :premises (@p139 @p137)) % 0.37/0.61 (step @p141 :rule false_elim :premises (@p140)) % 0.37/0.61 (step-pop @p152 :rule scope :premises (@p141)) % 0.37/0.61 (step-pop @p153 :rule scope :premises (@p152)) % 0.37/0.61 (step @p142 :rule process_scope :premises (@p153) :args (@t118)) % 0.37/0.61 (step @p145 :rule implies_elim :premises (@p142)) % 0.37/0.61 (step @p146 :rule cnf_and_neg :args (@t120)) % 0.37/0.61 (step @p147 :rule resolution :premises (@p146 @p145) :args (true @t120)) % 0.37/0.61 (step @p148 :rule eq_resolve :premises (@p147 @p134)) % 0.37/0.61 (step @p149 false :rule chain_m_resolution :premises (@p148 @p130 @p65 @p32) :args (false (@list false true false) (@list @t114 @t79 @t52))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------