%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG089+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 : n006.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 1.73s 1.97s % Output : Proof 1.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : RNG089+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n006.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:06:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.73/1.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.73/1.97 % SZS status Theorem % 1.73/1.97 % SZS output start Proof % 1.73/1.97 ( % 1.73/1.97 (declare-sort $$unsorted 0) % 1.73/1.97 (declare-const tptp.xn $$unsorted) % 1.73/1.97 (declare-const tptp.xz $$unsorted) % 1.73/1.97 (declare-const tptp.xm $$unsorted) % 1.73/1.97 (declare-const tptp.aElement0 (-> $$unsorted Bool)) % 1.73/1.97 (declare-const tptp.sz00 $$unsorted) % 1.73/1.97 (declare-const tptp.xx $$unsorted) % 1.73/1.97 (declare-const tptp.xI $$unsorted) % 1.73/1.97 (declare-const tptp.sz10 $$unsorted) % 1.73/1.97 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 1.73/1.97 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.97 (declare-const tptp.xk $$unsorted) % 1.73/1.97 (declare-const tptp.aIdeal0 (-> $$unsorted Bool)) % 1.73/1.97 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.97 (declare-const tptp.aSet0 (-> $$unsorted Bool)) % 1.73/1.97 (declare-const tptp.sdtpldt1 (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.97 (declare-const tptp.xy $$unsorted) % 1.73/1.97 (declare-const tptp.sdtasasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 1.73/1.97 (declare-const tptp.xJ $$unsorted) % 1.73/1.97 (declare-const tptp.xl $$unsorted) % 1.73/1.97 (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool)) % 1.73/1.97 (define @t1 () (@var "W0" $$unsorted)) % 1.73/1.97 (define @t2 () (tptp.aElement0 @t1)) % 1.73/1.97 (define @t3 () (@list @t1)) % 1.73/1.97 (define @t4 () (tptp.smndt0 @t1)) % 1.73/1.97 (define @t5 () (@var "W1" $$unsorted)) % 1.73/1.97 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 1.73/1.97 (define @t7 () (tptp.aElement0 @t5)) % 1.73/1.97 (define @t8 () (and @t2 @t7)) % 1.73/1.97 (define @t9 () (@list @t1 @t5)) % 1.73/1.97 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 1.73/1.97 (define @t11 () (@var "W2" $$unsorted)) % 1.73/1.97 (define @t12 () (tptp.sdtpldt0 @t5 @t11)) % 1.73/1.97 (define @t13 () (tptp.aElement0 @t11)) % 1.73/1.97 (define @t14 () (and @t2 @t7 @t13)) % 1.73/1.97 (define @t15 () (@list @t1 @t5 @t11)) % 1.73/1.97 (define @t16 () (tptp.sdtasdt0 @t5 @t1)) % 1.73/1.97 (define @t17 () (tptp.smndt0 tptp.sz10)) % 1.73/1.97 (define @t18 () (tptp.aSet0 @t1)) % 1.73/1.97 (define @t19 () (tptp.aElementOf0 @t5 @t1)) % 1.73/1.97 (define @t20 () (@list @t5)) % 1.73/1.97 (define @t21 () (tptp.aElementOf0 @t11 @t1)) % 1.73/1.97 (define @t22 () (tptp.aElementOf0 @t11 @t5)) % 1.73/1.97 (define @t23 () (@list @t11)) % 1.73/1.97 (define @t24 () (and @t18 (tptp.aSet0 @t5))) % 1.73/1.97 (define @t25 () (@var "W3" $$unsorted)) % 1.73/1.97 (define @t26 () (@var "W5" $$unsorted)) % 1.73/1.97 (define @t27 () (@var "W4" $$unsorted)) % 1.73/1.97 (define @t28 () (tptp.aElementOf0 @t25 @t11)) % 1.73/1.97 (define @t29 () (@list @t25)) % 1.73/1.97 (define @t30 () (tptp.aSet0 @t11)) % 1.73/1.97 (define @t31 () (tptp.aElementOf0 @t16 tptp.xJ)) % 1.73/1.97 (define @t32 () (forall @t20 (=> @t7 @t31))) % 1.73/1.97 (define @t33 () (tptp.aElementOf0 @t6 tptp.xJ)) % 1.73/1.97 (define @t34 () (tptp.aElementOf0 @t5 tptp.xJ)) % 1.73/1.97 (define @t35 () (forall @t20 (=> @t34 @t33))) % 1.73/1.97 (define @t36 () (and @t35 @t32)) % 1.73/1.97 (define @t37 () (tptp.aElementOf0 @t1 tptp.xJ)) % 1.73/1.97 (define @t38 () (=> @t37 @t36)) % 1.73/1.97 (define @t39 () (forall @t3 @t38)) % 1.73/1.97 (define @t40 () (tptp.aElementOf0 @t16 tptp.xI)) % 1.73/1.97 (define @t41 () (forall @t20 (=> @t7 @t40))) % 1.73/1.97 (define @t42 () (tptp.aElementOf0 @t6 tptp.xI)) % 1.73/1.97 (define @t43 () (tptp.aElementOf0 @t5 tptp.xI)) % 1.73/1.97 (define @t44 () (forall @t20 (=> @t43 @t42))) % 1.73/1.97 (define @t45 () (and @t44 @t41)) % 1.73/1.97 (define @t46 () (tptp.aElementOf0 @t1 tptp.xI)) % 1.73/1.97 (define @t47 () (=> @t46 @t45)) % 1.73/1.97 (define @t48 () (forall @t3 @t47)) % 1.73/1.97 (define @t49 () (tptp.aElement0 tptp.xz)) % 1.73/1.97 (define @t50 () (tptp.sdtpldt1 tptp.xI tptp.xJ)) % 1.73/1.97 (define @t51 () (tptp.aElementOf0 tptp.xl tptp.xJ)) % 1.73/1.97 (define @t52 () (tptp.aElementOf0 tptp.xk tptp.xI)) % 1.73/1.97 (define @t53 () (tptp.aElementOf0 tptp.xn tptp.xJ)) % 1.73/1.97 (define @t54 () (tptp.aElementOf0 tptp.xm tptp.xI)) % 1.73/1.97 (define @t55 () (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xl tptp.xn) tptp.xJ)) % 1.73/1.97 (define @t56 () (tptp.aElementOf0 (tptp.sdtpldt0 tptp.xk tptp.xm) tptp.xI)) % 1.73/1.97 (define @t57 () (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xl) tptp.xJ)) % 1.73/1.97 (define @t58 () (tptp.aElementOf0 (tptp.sdtasdt0 tptp.xz tptp.xk) tptp.xI)) % 1.73/1.97 (define @t59 () (@var "BOUND_VARIABLE_7935" $$unsorted)) % 1.73/1.97 (define @t60 () (or (not (tptp.aElement0 @t59)) (tptp.aElementOf0 (tptp.sdtasdt0 @t59 @t1) tptp.xJ))) % 1.73/1.97 (define @t61 () (@var "BOUND_VARIABLE_7928" $$unsorted)) % 1.73/1.97 (define @t62 () (or (not (tptp.aElementOf0 @t61 tptp.xJ)) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 @t61) tptp.xJ))) % 1.73/1.97 (define @t63 () (and @t62 @t60)) % 1.73/1.97 (define @t64 () (not @t37)) % 1.73/1.97 (define @t65 () (or @t64 @t63)) % 1.73/1.97 (define @t66 () (@list @t61 @t59)) % 1.73/1.97 (define @t67 () (forall @t66 @t65)) % 1.73/1.97 (define @t68 () (forall (@list @t59) @t60)) % 1.73/1.97 (define @t69 () (@list @t5)) % 1.73/1.97 (define @t70 () (forall @t66 @t60)) % 1.73/1.97 (define @t71 () (forall (@list @t61) @t62)) % 1.73/1.97 (define @t72 () (forall @t66 @t62)) % 1.73/1.97 (define @t73 () (and @t72 @t70)) % 1.73/1.97 (define @t74 () (forall @t66 @t63)) % 1.73/1.97 (define @t75 () (or @t64 @t74)) % 1.73/1.97 (define @t76 () (not @t7)) % 1.73/1.97 (define @t77 () (and (forall @t20 (or (not @t34) @t33)) (forall @t20 (or @t76 @t31)))) % 1.73/1.97 (define @t78 () (@var "BOUND_VARIABLE_7905" $$unsorted)) % 1.73/1.97 (define @t79 () (or (not (tptp.aElement0 @t78)) (tptp.aElementOf0 (tptp.sdtasdt0 @t78 @t1) tptp.xI))) % 1.73/1.97 (define @t80 () (@var "BOUND_VARIABLE_7898" $$unsorted)) % 1.73/1.97 (define @t81 () (or (not (tptp.aElementOf0 @t80 tptp.xI)) (tptp.aElementOf0 (tptp.sdtpldt0 @t1 @t80) tptp.xI))) % 1.73/1.97 (define @t82 () (and @t81 @t79)) % 1.73/1.97 (define @t83 () (not @t46)) % 1.73/1.97 (define @t84 () (or @t83 @t82)) % 1.73/1.97 (define @t85 () (@list @t80 @t78)) % 1.73/1.97 (define @t86 () (forall @t85 @t84)) % 1.73/1.97 (define @t87 () (forall (@list @t78) @t79)) % 1.73/1.97 (define @t88 () (forall @t85 @t79)) % 1.73/1.97 (define @t89 () (forall (@list @t80) @t81)) % 1.73/1.97 (define @t90 () (forall @t85 @t81)) % 1.73/1.97 (define @t91 () (and @t90 @t88)) % 1.73/1.97 (define @t92 () (forall @t85 @t82)) % 1.73/1.97 (define @t93 () (or @t83 @t92)) % 1.73/1.97 (define @t94 () (and (forall @t20 (or (not @t43) @t42)) (forall @t20 (or @t76 @t40)))) % 1.73/1.97 (define @t95 () (not @t49)) % 1.73/1.97 (define @t96 () (or @t95 @t58)) % 1.73/1.97 (define @t97 () (and (or (not @t54) @t56) @t96)) % 1.73/1.97 (define @t98 () (not @t52)) % 1.73/1.97 (define @t99 () (or @t98 @t97)) % 1.73/1.97 (define @t100 () (@list false false)) % 1.73/1.97 (define @t101 () (@list false)) % 1.73/1.97 (define @t102 () (or @t95 @t57)) % 1.73/1.97 (define @t103 () (not @t102)) % 1.73/1.97 (define @t104 () (and (or (not @t53) @t55) @t102)) % 1.73/1.97 (define @t105 () (not @t104)) % 1.73/1.97 (define @t106 () (not @t51)) % 1.73/1.97 (define @t107 () (or @t106 @t104)) % 1.73/1.97 (assume @p1 (forall @t3 (=> @t2 true))) % 1.73/1.97 (assume @p2 (tptp.aElement0 tptp.sz00)) % 1.73/1.97 (assume @p3 (tptp.aElement0 tptp.sz10)) % 1.73/1.97 (assume @p4 (forall @t3 (=> @t2 (tptp.aElement0 @t4)))) % 1.73/1.97 (assume @p5 (forall @t9 (=> @t8 (tptp.aElement0 @t6)))) % 1.73/1.97 (assume @p6 (forall @t9 (=> @t8 (tptp.aElement0 @t10)))) % 1.73/1.97 (assume @p7 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 1.73/1.97 (assume @p8 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t6 @t11) (tptp.sdtpldt0 @t1 @t12))))) % 1.73/1.97 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 1.73/1.97 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 1.73/1.97 (assume @p11 (forall @t9 (=> @t8 (= @t10 @t16)))) % 1.73/1.97 (assume @p12 (forall @t15 (=> @t14 (= (tptp.sdtasdt0 @t10 @t11) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t11)))))) % 1.73/1.97 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 1.73/1.97 (assume @p14 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t10 (tptp.sdtasdt0 @t1 @t11))) (= (tptp.sdtasdt0 @t12 @t1) (tptp.sdtpldt0 @t16 (tptp.sdtasdt0 @t11 @t1))))))) % 1.73/1.97 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t17 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t17)))))) % 1.73/1.97 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 1.73/1.97 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or (= @t1 tptp.sz00) (= @t5 tptp.sz00)))))) % 1.73/1.97 (assume @p18 (not (= tptp.sz10 tptp.sz00))) % 1.73/1.97 (assume @p19 (forall @t3 (=> @t18 true))) % 1.73/1.97 (assume @p20 (forall @t3 (=> @t18 (forall @t20 (=> @t19 @t7))))) % 1.73/1.97 (assume @p21 (forall @t9 (=> @t24 (=> (and (forall @t23 (=> @t21 @t22)) (forall @t23 (=> @t22 @t21))) (= @t1 @t5))))) % 1.73/1.97 (assume @p22 (forall @t9 (=> @t24 (forall @t23 (= (= @t11 (tptp.sdtpldt1 @t1 @t5)) (and @t30 (forall @t29 (= @t28 (exists (@list @t27 @t26) (and (tptp.aElementOf0 @t27 @t1) (tptp.aElementOf0 @t26 @t5) (= (tptp.sdtpldt0 @t27 @t26) @t25))))))))))) % 1.73/1.97 (assume @p23 (forall @t9 (=> @t24 (forall @t23 (= (= @t11 (tptp.sdtasasdt0 @t1 @t5)) (and @t30 (forall @t29 (= @t28 (and (tptp.aElementOf0 @t25 @t1) (tptp.aElementOf0 @t25 @t5)))))))))) % 1.73/1.97 (assume @p24 (forall @t3 (= (tptp.aIdeal0 @t1) (and @t18 (forall @t20 (=> @t19 (and (forall @t23 (=> @t21 (tptp.aElementOf0 @t12 @t1))) (forall @t23 (=> @t13 (tptp.aElementOf0 (tptp.sdtasdt0 @t11 @t5) @t1)))))))))) % 1.73/1.97 (assume @p25 (and (tptp.aSet0 tptp.xI) @t48 (tptp.aIdeal0 tptp.xI) (tptp.aSet0 tptp.xJ) @t39 (tptp.aIdeal0 tptp.xJ))) % 1.73/1.97 (assume @p26 (and (exists @t9 (and @t46 @t34 (= @t6 tptp.xx))) (tptp.aElementOf0 tptp.xx @t50) (exists @t9 (and @t46 @t34 (= @t6 tptp.xy))) (tptp.aElementOf0 tptp.xy @t50) @t49)) % 1.73/1.97 (assume @p27 (and @t52 @t51 (= tptp.xx (tptp.sdtpldt0 tptp.xk tptp.xl)))) % 1.73/1.97 (assume @p28 (and @t54 @t53 (= tptp.xy (tptp.sdtpldt0 tptp.xm tptp.xn)))) % 1.73/1.97 (assume @p29 (and @t56 @t55)) % 1.73/1.97 (assume @p30 (not (and @t58 @t57))) % 1.73/1.97 (assume @p31 true) % 1.73/1.97 (step @p32 :rule and_elim :premises (@p27) :args (1)) % 1.73/1.97 (step @p33 :rule quant-merge-prenex :args ((= (forall @t3 @t67) (forall (@list @t1 @t61 @t59) @t65)))) % 1.73/1.97 (step @p34 :rule alpha_equiv :args (@t68 (@list @t59) @t69)) % 1.73/1.97 (step @p35 :rule quant-unused-vars :args ((= @t70 @t68))) % 1.73/1.97 (step @p36 :rule trans :premises (@p35 @p34)) % 1.73/1.97 (step @p37 :rule alpha_equiv :args (@t71 (@list @t61) @t69)) % 1.73/1.97 (step @p38 :rule quant-unused-vars :args ((= @t72 @t71))) % 1.73/1.97 (step @p39 :rule trans :premises (@p38 @p37)) % 1.73/1.97 (step @p40 :rule nary_cong :premises (@p39 @p36) :args (@t73)) % 1.73/1.97 (step @p41 :rule quant-miniscope-and :args ((= @t74 @t73))) % 1.73/1.97 (step @p42 :rule trans :premises (@p41 @p40)) % 1.73/1.97 (step @p43 :rule refl :args (@t64)) % 1.73/1.97 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t75)) % 1.73/1.97 (step @p45 :rule quant-miniscope-or :args ((= @t67 @t75))) % 1.73/1.97 (step @p46 :rule trans :premises (@p45 @p44)) % 1.73/1.97 (step @p47 :rule symm :premises (@p46)) % 1.73/1.97 (step @p48 :rule cong :premises (@p47) :args ((forall @t3 (or @t64 @t77)))) % 1.73/1.97 (step @p49 :rule trans :premises (@p48 @p33)) % 1.73/1.97 (step @p50 :rule bool-impl-elim :args (@t37 @t77)) % 1.73/1.97 (step @p51 :rule cong :premises (@p50) :args ((forall @t3 (=> @t37 @t77)))) % 1.73/1.97 (step @p52 :rule trans :premises (@p51 @p49)) % 1.73/1.97 (step @p53 :rule bool-impl-elim :args (@t7 @t31)) % 1.73/1.97 (step @p54 :rule cong :premises (@p53) :args (@t32)) % 1.73/1.97 (step @p55 :rule bool-impl-elim :args (@t34 @t33)) % 1.73/1.97 (step @p56 :rule cong :premises (@p55) :args (@t35)) % 1.73/1.97 (step @p57 :rule nary_cong :premises (@p56 @p54) :args (@t36)) % 1.73/1.97 (step @p58 :rule refl :args (@t37)) % 1.73/1.97 (step @p59 :rule cong :premises (@p58 @p57) :args (@t38)) % 1.73/1.97 (step @p60 :rule cong :premises (@p59) :args (@t39)) % 1.73/1.97 (step @p61 :rule trans :premises (@p60 @p52)) % 1.73/1.97 (step @p62 :rule and_elim :premises (@p25) :args (4)) % 1.73/1.97 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 1.73/1.97 (step @p64 :rule instantiate :premises (@p63) :args ((@list tptp.xl tptp.xn tptp.xz))) % 1.73/1.97 (step @p65 :rule and_elim :premises (@p26) :args (4)) % 1.73/1.97 (step @p66 :rule quant-merge-prenex :args ((= (forall @t3 @t86) (forall (@list @t1 @t80 @t78) @t84)))) % 1.73/1.97 (step @p67 :rule alpha_equiv :args (@t87 (@list @t78) @t69)) % 1.73/1.97 (step @p68 :rule quant-unused-vars :args ((= @t88 @t87))) % 1.73/1.97 (step @p69 :rule trans :premises (@p68 @p67)) % 1.73/1.97 (step @p70 :rule alpha_equiv :args (@t89 (@list @t80) @t69)) % 1.73/1.97 (step @p71 :rule quant-unused-vars :args ((= @t90 @t89))) % 1.73/1.97 (step @p72 :rule trans :premises (@p71 @p70)) % 1.73/1.97 (step @p73 :rule nary_cong :premises (@p72 @p69) :args (@t91)) % 1.73/1.97 (step @p74 :rule quant-miniscope-and :args ((= @t92 @t91))) % 1.73/1.97 (step @p75 :rule trans :premises (@p74 @p73)) % 1.73/1.97 (step @p76 :rule refl :args (@t83)) % 1.73/1.97 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t93)) % 1.73/1.97 (step @p78 :rule quant-miniscope-or :args ((= @t86 @t93))) % 1.73/1.97 (step @p79 :rule trans :premises (@p78 @p77)) % 1.73/1.97 (step @p80 :rule symm :premises (@p79)) % 1.73/1.97 (step @p81 :rule cong :premises (@p80) :args ((forall @t3 (or @t83 @t94)))) % 1.73/1.97 (step @p82 :rule trans :premises (@p81 @p66)) % 1.73/1.97 (step @p83 :rule bool-impl-elim :args (@t46 @t94)) % 1.73/1.97 (step @p84 :rule cong :premises (@p83) :args ((forall @t3 (=> @t46 @t94)))) % 1.73/1.97 (step @p85 :rule trans :premises (@p84 @p82)) % 1.73/1.97 (step @p86 :rule bool-impl-elim :args (@t7 @t40)) % 1.73/1.97 (step @p87 :rule cong :premises (@p86) :args (@t41)) % 1.73/1.97 (step @p88 :rule bool-impl-elim :args (@t43 @t42)) % 1.73/1.97 (step @p89 :rule cong :premises (@p88) :args (@t44)) % 1.73/1.97 (step @p90 :rule nary_cong :premises (@p89 @p87) :args (@t45)) % 1.73/1.97 (step @p91 :rule refl :args (@t46)) % 1.73/1.97 (step @p92 :rule cong :premises (@p91 @p90) :args (@t47)) % 1.73/1.97 (step @p93 :rule cong :premises (@p92) :args (@t48)) % 1.73/1.97 (step @p94 :rule trans :premises (@p93 @p85)) % 1.73/1.97 (step @p95 :rule and_elim :premises (@p25) :args (1)) % 1.73/1.98 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 1.73/1.98 (step @p97 :rule instantiate :premises (@p96) :args ((@list tptp.xk tptp.xm tptp.xz))) % 1.73/1.98 (step @p98 :rule and_elim :premises (@p27) :args (0)) % 1.73/1.98 (step @p99 :rule cnf_or_pos :args (@t99)) % 1.73/1.98 (step @p100 :rule reordering :premises (@p99) :args ((or @t98 @t97 (not @t99)))) % 1.73/1.98 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p97) :args (@t97 @t100 (@list @t52 @t99))) % 1.73/1.98 (step @p102 :rule cnf_and_pos :args (@t97 1)) % 1.73/1.98 (step @p103 :rule reordering :premises (@p102) :args ((or @t96 (not @t97)))) % 1.73/1.98 (step @p104 :rule chain_m_resolution :premises (@p103 @p101) :args (@t96 @t101 (@list @t97))) % 1.73/1.98 (step @p105 :rule cnf_or_pos :args (@t96)) % 1.73/1.98 (step @p106 :rule reordering :premises (@p105) :args ((or @t58 @t95 (not @t96)))) % 1.73/1.98 (step @p107 :rule chain_m_resolution :premises (@p106 @p65 @p104) :args (@t58 @t100 (@list @t49 @t96))) % 1.73/1.98 (step @p108 :rule not_and :premises (@p30)) % 1.73/1.98 (step @p109 :rule chain_m_resolution :premises (@p108 @p107) :args ((not @t57) @t101 (@list @t58))) % 1.73/1.98 (step @p110 :rule cnf_or_pos :args (@t102)) % 1.73/1.98 (step @p111 :rule reordering :premises (@p110) :args ((or @t57 @t95 @t103))) % 1.73/1.98 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p65) :args (@t103 (@list true false) (@list @t57 @t49))) % 1.73/1.98 (step @p113 :rule cnf_and_pos :args (@t104 1)) % 1.73/1.98 (step @p114 :rule reordering :premises (@p113) :args ((or @t102 @t105))) % 1.73/1.98 (step @p115 :rule chain_m_resolution :premises (@p114 @p112) :args (@t105 (@list true) (@list @t102))) % 1.73/1.98 (step @p116 :rule cnf_or_pos :args (@t107)) % 1.73/1.98 (step @p117 :rule reordering :premises (@p116) :args ((or @t106 @t104 (not @t107)))) % 1.73/1.98 (step @p118 false :rule chain_m_resolution :premises (@p117 @p115 @p64 @p32) :args (false (@list true false false) (@list @t104 @t107 @t51))) % 1.73/1.98 ) % 1.73/1.98 % SZS output end Proof % 1.73/1.98 % cvc5 exiting %------------------------------------------------------------------------------