%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG088+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 : n011.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 08:45:38 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG088+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 % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:06:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (declare-const tptp.xn $$unsorted) % 0.44/0.63 (declare-const tptp.xz $$unsorted) % 0.44/0.63 (declare-const tptp.xm $$unsorted) % 0.44/0.63 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.sz00 $$unsorted) % 0.44/0.63 (declare-const tptp.xx $$unsorted) % 0.44/0.63 (declare-const tptp.xI $$unsorted) % 0.44/0.63 (declare-const tptp.sz10 $$unsorted) % 0.44/0.63 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.xk $$unsorted) % 0.44/0.63 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 0.44/0.63 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.xy $$unsorted) % 0.44/0.63 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.63 (declare-const tptp.xJ $$unsorted) % 0.44/0.63 (declare-const tptp.xl $$unsorted) % 0.44/0.63 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 0.44/0.63 (define @t1 () (@var "W0" $$unsorted)) % 0.44/0.63 (define @t2 () (tptp.aElement0 @t1)) % 0.44/0.63 (define @t3 () (@list @t1)) % 0.44/0.63 (define @t4 () (tptp.aElement0 tptp.sz10)) % 0.44/0.63 (define @t5 () (tptp.smndt0 @t1)) % 0.44/0.63 (define @t6 () (@var "W1" $$unsorted)) % 0.44/0.63 (define @t7 () (tptp.sdtpldt0 @t1 @t6)) % 0.44/0.63 (define @t8 () (tptp.aElement0 @t6)) % 0.44/0.63 (define @t9 () (and @t2 @t8)) % 0.44/0.63 (define @t10 () (@list @t1 @t6)) % 0.44/0.63 (define @t11 () (tptp.sdtasdt0 @t1 @t6)) % 0.44/0.63 (define @t12 () (@var "W2" $$unsorted)) % 0.44/0.63 (define @t13 () (tptp.sdtpldt0 @t6 @t12)) % 0.44/0.63 (define @t14 () (tptp.aElement0 @t12)) % 0.44/0.63 (define @t15 () (and @t2 @t8 @t14)) % 0.44/0.63 (define @t16 () (@list @t1 @t6 @t12)) % 0.44/0.63 (define @t17 () (tptp.sdtasdt0 @t6 @t1)) % 0.44/0.63 (define @t18 () (tptp.smndt0 tptp.sz10)) % 0.44/0.63 (define @t19 () (tptp.aSet0 @t1)) % 0.44/0.63 (define @t20 () (tptp.aElementOf0 @t6 @t1)) % 0.44/0.63 (define @t21 () (@list @t6)) % 0.44/0.63 (define @t22 () (tptp.aElementOf0 @t12 @t1)) % 0.44/0.63 (define @t23 () (tptp.aElementOf0 @t12 @t6)) % 0.44/0.63 (define @t24 () (@list @t12)) % 0.44/0.63 (define @t25 () (and @t19 (tptp.aSet0 @t6))) % 0.44/0.63 (define @t26 () (@var "W3" $$unsorted)) % 0.44/0.63 (define @t27 () (@var "W5" $$unsorted)) % 0.44/0.63 (define @t28 () (@var "W4" $$unsorted)) % 0.44/0.63 (define @t29 () (tptp.aElementOf0 @t26 @t12)) % 0.44/0.63 (define @t30 () (@list @t26)) % 0.44/0.63 (define @t31 () (tptp.aSet0 @t12)) % 0.44/0.63 (define @t32 () (tptp.aElementOf0 @t17 tptp.xJ)) % 0.44/0.63 (define @t33 () (forall @t21 (=> @t8 @t32))) % 0.44/0.63 (define @t34 () (tptp.aElementOf0 @t7 tptp.xJ)) % 0.44/0.63 (define @t35 () (tptp.aElementOf0 @t6 tptp.xJ)) % 0.44/0.63 (define @t36 () (forall @t21 (=> @t35 @t34))) % 0.44/0.63 (define @t37 () (and @t36 @t33)) % 0.44/0.63 (define @t38 () (tptp.aElementOf0 @t1 tptp.xJ)) % 0.44/0.63 (define @t39 () (=> @t38 @t37)) % 0.44/0.63 (define @t40 () (forall @t3 @t39)) % 0.44/0.63 (define @t41 () (tptp.aElementOf0 @t17 tptp.xI)) % 0.44/0.63 (define @t42 () (forall @t21 (=> @t8 @t41))) % 0.44/0.63 (define @t43 () (tptp.aElementOf0 @t7 tptp.xI)) % 0.44/0.63 (define @t44 () (tptp.aElementOf0 @t6 tptp.xI)) % 0.44/0.63 (define @t45 () (forall @t21 (=> @t44 @t43))) % 0.44/0.63 (define @t46 () (and @t45 @t42)) % 0.44/0.63 (define @t47 () (tptp.aElementOf0 @t1 tptp.xI)) % 0.44/0.63 (define @t48 () (=> @t47 @t46)) % 0.44/0.63 (define @t49 () (forall @t3 @t48)) % 0.44/0.63 (define @t50 () (tptp.aElement0 tptp.xz)) % 0.44/0.63 (define @t51 () (tptp.sdtpldt1 tptp.xI tptp.xJ)) % 0.44/0.63 (define @t52 () (tptp.aElementOf0 tptp.xl tptp.xJ)) % 0.44/0.63 (define @t53 () (tptp.aElementOf0 tptp.xk tptp.xI)) % 0.44/0.63 (define @t54 () (tptp.aElementOf0 tptp.xn tptp.xJ)) % 0.44/0.63 (define @t55 () (tptp.aElementOf0 tptp.xm tptp.xI)) % 0.44/0.63 (define @t56 () (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) % 0.44/0.63 (define @t57 () (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) % 0.44/0.63 (define @t58 () (@var "BOUND_VARIABLE_7930" $$unsorted)) % 0.44/0.63 (define @t59 () (or (not (tptp.aElement0 @t58)) (tptp.aElementOf0 (tptp.sdtasdt0 @t58 @t1) tptp.xJ))) % 0.44/0.63 (define @t60 () (@var "BOUND_VARIABLE_7923" $$unsorted)) % 0.44/0.63 (define @t61 () (or (not (tptp.aElementOf0 @t60 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 @t60) tptp.xJ))) % 0.44/0.63 (define @t62 () (and @t61 @t59)) % 0.44/0.63 (define @t63 () (not @t38)) % 0.44/0.63 (define @t64 () (or @t63 @t62)) % 0.44/0.63 (define @t65 () (@list @t60 @t58)) % 0.44/0.63 (define @t66 () (forall @t65 @t64)) % 0.44/0.63 (define @t67 () (forall (@list @t58) @t59)) % 0.44/0.63 (define @t68 () (@list @t6)) % 0.44/0.63 (define @t69 () (forall @t65 @t59)) % 0.44/0.63 (define @t70 () (forall (@list @t60) @t61)) % 0.44/0.63 (define @t71 () (forall @t65 @t61)) % 0.44/0.63 (define @t72 () (and @t71 @t69)) % 0.44/0.63 (define @t73 () (forall @t65 @t62)) % 0.44/0.63 (define @t74 () (or @t63 @t73)) % 0.44/0.63 (define @t75 () (not @t8)) % 0.44/0.63 (define @t76 () (and (forall @t21 (or (not @t35) @t34)) (forall @t21 (or @t75 @t32)))) % 0.44/0.63 (define @t77 () (@var "BOUND_VARIABLE_7900" $$unsorted)) % 0.44/0.63 (define @t78 () (or (not (tptp.aElement0 @t77)) (tptp.aElementOf0 (tptp.sdtasdt0 @t77 @t1) tptp.xI))) % 0.44/0.63 (define @t79 () (@var "BOUND_VARIABLE_7893" $$unsorted)) % 0.44/0.63 (define @t80 () (or (not (tptp.aElementOf0 @t79 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 @t79) tptp.xI))) % 0.44/0.63 (define @t81 () (and @t80 @t78)) % 0.44/0.63 (define @t82 () (not @t47)) % 0.44/0.63 (define @t83 () (or @t82 @t81)) % 0.44/0.63 (define @t84 () (@list @t79 @t77)) % 0.44/0.63 (define @t85 () (forall @t84 @t83)) % 0.44/0.63 (define @t86 () (forall (@list @t77) @t78)) % 0.44/0.63 (define @t87 () (forall @t84 @t78)) % 0.44/0.63 (define @t88 () (forall (@list @t79) @t80)) % 0.44/0.63 (define @t89 () (forall @t84 @t80)) % 0.44/0.63 (define @t90 () (and @t89 @t87)) % 0.44/0.63 (define @t91 () (forall @t84 @t81)) % 0.44/0.63 (define @t92 () (or @t82 @t91)) % 0.44/0.63 (define @t93 () (and (forall @t21 (or (not @t44) @t43)) (forall @t21 (or @t75 @t41)))) % 0.44/0.63 (define @t94 () (not @t55)) % 0.44/0.63 (define @t95 () (or @t94 @t57)) % 0.44/0.63 (define @t96 () (and @t95 (or (not @t50) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)))) % 0.44/0.63 (define @t97 () (not @t53)) % 0.44/0.63 (define @t98 () (or @t97 @t96)) % 0.44/0.63 (define @t99 () (@list false false)) % 0.44/0.63 (define @t100 () (@list false)) % 0.44/0.63 (define @t101 () (not @t54)) % 0.44/0.63 (define @t102 () (or @t101 @t56)) % 0.44/0.63 (define @t103 () (not @t102)) % 0.44/0.63 (define @t104 () (and @t102 (or (not @t4) (tptp.aElementOf0 (tptp.sdtasdt0 tptp.sz10 tptp.xl) tptp.xJ)))) % 0.44/0.63 (define @t105 () (not @t104)) % 0.44/0.63 (define @t106 () (not @t52)) % 0.44/0.63 (define @t107 () (or @t106 @t104)) % 0.44/0.63 (assume @p1 (forall @t3 (=> @t2 true))) % 0.44/0.63 (assume @p2 (tptp.aElement0 tptp.sz00)) % 0.44/0.63 (assume @p3 @t4) % 0.44/0.63 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t5)))) % 0.44/0.63 (assume @p5 (forall @t10 (=> @t9 (tptp.aElement0 @t7)))) % 0.44/0.63 (assume @p6 (forall @t10 (=> @t9 (tptp.aElement0 @t11)))) % 0.44/0.63 (assume @p7 (forall @t10 (=> @t9 (= @t7 (tptp.sdtpldt0 @t6 @t1))))) % 0.44/0.63 (assume @p8 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t7 @t12) (tptp.sdtpldt0 @t1 @t13))))) % 0.44/0.63 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.44/0.63 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t5) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t5 @t1)))))) % 0.44/0.63 (assume @p11 (forall @t10 (=> @t9 (= @t11 @t17)))) % 0.44/0.63 (assume @p12 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t11 @t12) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t12)))))) % 0.44/0.63 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.44/0.63 (assume @p14 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t11 (tptp.sdtasdt0 @t1 @t12))) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t17 (tptp.sdtasdt0 @t12 @t1))))))) % 0.44/0.63 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t18 @t1) @t5) (= @t5 (tptp.sdtasdt0 @t1 @t18)))))) % 0.44/0.63 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.44/0.63 (assume @p17 (forall @t10 (=> @t9 (=> (= @t11 tptp.sz00) (or (= @t1 tptp.sz00) (= @t6 tptp.sz00)))))) % 0.44/0.63 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 0.44/0.63 (assume @p19 (forall @t3 (=> @t19 true))) % 0.44/0.63 (assume @p20 (forall @t3 (=> @t19 (forall @t21 (=> @t20 @t8))))) % 0.44/0.63 (assume @p21 (forall @t10 (=> @t25 (=> (and (forall @t24 (=> @t22 @t23)) (forall @t24 (=> @t23 @t22))) (= @t1 @t6))))) % 0.44/0.63 (assume @p22 (forall @t10 (=> @t25 (forall @t24 (= (= @t12 (tptp.sdtpldt1 @t1 @t6)) (and @t31 (forall @t30 (= @t29 (exists (@list @t28 @t27) (and (tptp.aElementOf0 @t28 @t1) (tptp.aElementOf0 @t27 @t6) (= (tptp.sdtpldt0 @t28 @t27) @t26))))))))))) % 0.44/0.63 (assume @p23 (forall @t10 (=> @t25 (forall @t24 (= (= @t12 (tptp.sdtasasdt0 @t1 @t6)) (and @t31 (forall @t30 (= @t29 (and (tptp.aElementOf0 @t26 @t1) (tptp.aElementOf0 @t26 @t6)))))))))) % 0.44/0.63 (assume @p24 (forall @t3 (= (tptp.aIdeal0 @t1) (and @t19 (forall @t21 (=> @t20 (and (forall @t24 (=> @t22 (tptp.aElementOf0 @t13 @t1))) (forall @t24 (=> @t14 (tptp.aElementOf0 (tptp.sdtasdt0 @t12 @t6) @t1)))))))))) % 0.44/0.63 (assume @p25 (and (tptp.aSet0 tptp.xI) @t49 (tptp.aIdeal0 tptp.xI) (tptp.aSet0 tptp.xJ) @t40 (tptp.aIdeal0 tptp.xJ))) % 0.44/0.63 (assume @p26 (and (exists @t10 (and @t47 @t35 (= @t7 tptp.xx))) (tptp.aElementOf0 tptp.xx @t51) (exists @t10 (and @t47 @t35 (= @t7 tptp.xy))) (tptp.aElementOf0 tptp.xy @t51) @t50)) % 0.44/0.63 (assume @p27 (and @t53 @t52 (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl)))) % 0.44/0.63 (assume @p28 (and @t55 @t54 (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn)))) % 0.44/0.63 (assume @p29 (not (and @t57 @t56))) % 0.44/0.63 (assume @p30 true) % 0.44/0.63 (step @p31 :rule and_elim :premises (@p27) :args (1)) % 0.44/0.63 (step @p32 :rule quant-merge-prenex :args ((= (forall @t3 @t66) (forall (@list @t1 @t60 @t58) @t64)))) % 0.44/0.63 (step @p33 :rule alpha_equiv :args (@t67 (@list @t58) @t68)) % 0.44/0.63 (step @p34 :rule quant-unused-vars :args ((= @t69 @t67))) % 0.44/0.63 (step @p35 :rule trans :premises (@p34 @p33)) % 0.44/0.63 (step @p36 :rule alpha_equiv :args (@t70 (@list @t60) @t68)) % 0.44/0.63 (step @p37 :rule quant-unused-vars :args ((= @t71 @t70))) % 0.44/0.63 (step @p38 :rule trans :premises (@p37 @p36)) % 0.44/0.63 (step @p39 :rule nary_cong :premises (@p38 @p35) :args (@t72)) % 0.44/0.63 (step @p40 :rule quant-miniscope-and :args ((= @t73 @t72))) % 0.44/0.63 (step @p41 :rule trans :premises (@p40 @p39)) % 0.44/0.63 (step @p42 :rule refl :args (@t63)) % 0.44/0.63 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t74)) % 0.44/0.63 (step @p44 :rule quant-miniscope-or :args ((= @t66 @t74))) % 0.44/0.63 (step @p45 :rule trans :premises (@p44 @p43)) % 0.44/0.63 (step @p46 :rule symm :premises (@p45)) % 0.44/0.63 (step @p47 :rule cong :premises (@p46) :args ((forall @t3 (or @t63 @t76)))) % 0.44/0.63 (step @p48 :rule trans :premises (@p47 @p32)) % 0.44/0.63 (step @p49 :rule bool-impl-elim :args (@t38 @t76)) % 0.44/0.63 (step @p50 :rule cong :premises (@p49) :args ((forall @t3 (=> @t38 @t76)))) % 0.44/0.63 (step @p51 :rule trans :premises (@p50 @p48)) % 0.44/0.63 (step @p52 :rule bool-impl-elim :args (@t8 @t32)) % 0.44/0.63 (step @p53 :rule cong :premises (@p52) :args (@t33)) % 0.44/0.63 (step @p54 :rule bool-impl-elim :args (@t35 @t34)) % 0.44/0.63 (step @p55 :rule cong :premises (@p54) :args (@t36)) % 0.44/0.63 (step @p56 :rule nary_cong :premises (@p55 @p53) :args (@t37)) % 0.44/0.63 (step @p57 :rule refl :args (@t38)) % 0.44/0.63 (step @p58 :rule cong :premises (@p57 @p56) :args (@t39)) % 0.44/0.63 (step @p59 :rule cong :premises (@p58) :args (@t40)) % 0.44/0.63 (step @p60 :rule trans :premises (@p59 @p51)) % 0.44/0.63 (step @p61 :rule and_elim :premises (@p25) :args (4)) % 0.44/0.63 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.44/0.63 (step @p63 :rule instantiate :premises (@p62) :args ((@list tptp.xl tptp.xn tptp.sz10))) % 0.44/0.63 (step @p64 :rule and_elim :premises (@p28) :args (1)) % 0.44/0.63 (step @p65 :rule quant-merge-prenex :args ((= (forall @t3 @t85) (forall (@list @t1 @t79 @t77) @t83)))) % 0.44/0.63 (step @p66 :rule alpha_equiv :args (@t86 (@list @t77) @t68)) % 0.44/0.63 (step @p67 :rule quant-unused-vars :args ((= @t87 @t86))) % 0.44/0.63 (step @p68 :rule trans :premises (@p67 @p66)) % 0.44/0.63 (step @p69 :rule alpha_equiv :args (@t88 (@list @t79) @t68)) % 0.44/0.63 (step @p70 :rule quant-unused-vars :args ((= @t89 @t88))) % 0.44/0.63 (step @p71 :rule trans :premises (@p70 @p69)) % 0.44/0.63 (step @p72 :rule nary_cong :premises (@p71 @p68) :args (@t90)) % 0.44/0.63 (step @p73 :rule quant-miniscope-and :args ((= @t91 @t90))) % 0.44/0.63 (step @p74 :rule trans :premises (@p73 @p72)) % 0.44/0.63 (step @p75 :rule refl :args (@t82)) % 0.44/0.63 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t92)) % 0.44/0.63 (step @p77 :rule quant-miniscope-or :args ((= @t85 @t92))) % 0.44/0.63 (step @p78 :rule trans :premises (@p77 @p76)) % 0.44/0.63 (step @p79 :rule symm :premises (@p78)) % 0.44/0.63 (step @p80 :rule cong :premises (@p79) :args ((forall @t3 (or @t82 @t93)))) % 0.44/0.63 (step @p81 :rule trans :premises (@p80 @p65)) % 0.44/0.63 (step @p82 :rule bool-impl-elim :args (@t47 @t93)) % 0.44/0.63 (step @p83 :rule cong :premises (@p82) :args ((forall @t3 (=> @t47 @t93)))) % 0.44/0.63 (step @p84 :rule trans :premises (@p83 @p81)) % 0.44/0.63 (step @p85 :rule bool-impl-elim :args (@t8 @t41)) % 0.44/0.63 (step @p86 :rule cong :premises (@p85) :args (@t42)) % 0.44/0.63 (step @p87 :rule bool-impl-elim :args (@t44 @t43)) % 0.44/0.63 (step @p88 :rule cong :premises (@p87) :args (@t45)) % 0.44/0.63 (step @p89 :rule nary_cong :premises (@p88 @p86) :args (@t46)) % 0.44/0.63 (step @p90 :rule refl :args (@t47)) % 0.44/0.63 (step @p91 :rule cong :premises (@p90 @p89) :args (@t48)) % 0.44/0.63 (step @p92 :rule cong :premises (@p91) :args (@t49)) % 0.44/0.63 (step @p93 :rule trans :premises (@p92 @p84)) % 0.44/0.63 (step @p94 :rule and_elim :premises (@p25) :args (1)) % 0.44/0.63 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.44/0.63 (step @p96 :rule instantiate :premises (@p95) :args ((@list tptp.xk tptp.xm tptp.xz))) % 0.44/0.63 (step @p97 :rule and_elim :premises (@p27) :args (0)) % 0.44/0.63 (step @p98 :rule cnf_or_pos :args (@t98)) % 0.44/0.63 (step @p99 :rule reordering :premises (@p98) :args ((or @t97 @t96 (not @t98)))) % 0.44/0.63 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p96) :args (@t96 @t99 (@list @t53 @t98))) % 0.44/0.63 (step @p101 :rule cnf_and_pos :args (@t96 0)) % 0.44/0.63 (step @p102 :rule reordering :premises (@p101) :args ((or @t95 (not @t96)))) % 0.44/0.63 (step @p103 :rule chain_m_resolution :premises (@p102 @p100) :args (@t95 @t100 (@list @t96))) % 0.44/0.63 (step @p104 :rule and_elim :premises (@p28) :args (0)) % 0.44/0.63 (step @p105 :rule cnf_or_pos :args (@t95)) % 0.44/0.63 (step @p106 :rule reordering :premises (@p105) :args ((or @t57 @t94 (not @t95)))) % 0.44/0.63 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p103) :args (@t57 @t99 (@list @t55 @t95))) % 0.44/0.63 (step @p108 :rule not_and :premises (@p29)) % 0.44/0.63 (step @p109 :rule chain_m_resolution :premises (@p108 @p107) :args ((not @t56) @t100 (@list @t57))) % 0.44/0.63 (step @p110 :rule cnf_or_pos :args (@t102)) % 0.44/0.63 (step @p111 :rule reordering :premises (@p110) :args ((or @t56 @t101 @t103))) % 0.44/0.63 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p64) :args (@t103 (@list true false) (@list @t56 @t54))) % 0.44/0.63 (step @p113 :rule cnf_and_pos :args (@t104 0)) % 0.44/0.63 (step @p114 :rule reordering :premises (@p113) :args ((or @t102 @t105))) % 0.44/0.63 (step @p115 :rule chain_m_resolution :premises (@p114 @p112) :args (@t105 (@list true) (@list @t102))) % 0.44/0.63 (step @p116 :rule cnf_or_pos :args (@t107)) % 0.44/0.63 (step @p117 :rule reordering :premises (@p116) :args ((or @t106 @t104 (not @t107)))) % 0.44/0.63 (step @p118 false :rule chain_m_resolution :premises (@p117 @p115 @p63 @p31) :args (false (@list true false false) (@list @t104 @t107 @t52))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------