%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX190+1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 09:07:19 AM UTC 2026 % Result : Theorem 16.13s 16.39s % Output : Proof 16.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX190+1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.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 23:06:13 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.13/16.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.13/16.39 --- Run --no-e-matching --full-saturate-quant at 6... % 16.13/16.39 % SZS status Theorem % 16.13/16.39 % SZS output start Proof % 16.13/16.39 ( % 16.13/16.39 (declare-sort $$unsorted 0) % 16.13/16.39 (declare-const tptp.fail3 (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.fail12 (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.mulNat (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.fail (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.d (-> $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.fail2 (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.y (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.fail22 (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.proj1S (-> $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.fail32 (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.x (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.proj12 (-> $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.addNat (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.n (-> $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.x2 $$unsorted) % 16.13/16.39 (declare-const tptp.proj1N (-> $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.fail1 (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.proj1 (-> $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.proj2 (-> $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.z $$unsorted) % 16.13/16.39 (declare-const tptp.proj22 (-> $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.fail4 (-> $$unsorted $$unsorted $$unsorted)) % 16.13/16.39 (declare-const tptp.opt (-> $$unsorted $$unsorted)) % 16.13/16.39 (define @t1 () (@var "X" $$unsorted)) % 16.13/16.39 (define @t2 () (tptp.s @t1)) % 16.13/16.39 (define @t3 () (@list @t1)) % 16.13/16.39 (define @t4 () (tptp.n @t1)) % 16.13/16.39 (define @t5 () (@var "X2" $$unsorted)) % 16.13/16.39 (define @t6 () (tptp.x @t1 @t5)) % 16.13/16.39 (define @t7 () (@list @t1 @t5)) % 16.13/16.39 (define @t8 () (tptp.y @t1 @t5)) % 16.13/16.39 (define @t9 () (@var "X3" $$unsorted)) % 16.13/16.39 (define @t10 () (@list @t1 @t5 @t9)) % 16.13/16.39 (define @t11 () (@var "X4" $$unsorted)) % 16.13/16.39 (define @t12 () (@var "Y" $$unsorted)) % 16.13/16.39 (define @t13 () (tptp.opt @t12)) % 16.13/16.39 (define @t14 () (tptp.s tptp.z)) % 16.13/16.39 (define @t15 () (tptp.s @t14)) % 16.13/16.39 (define @t16 () (tptp.n @t15)) % 16.13/16.39 (define @t17 () (@var "E" $$unsorted)) % 16.13/16.39 (define @t18 () (tptp.fail2 @t12 @t17)) % 16.13/16.39 (define @t19 () (= @t12 @t17)) % 16.13/16.39 (define @t20 () (@list @t12 @t17)) % 16.13/16.39 (define @t21 () (tptp.opt @t17)) % 16.13/16.39 (define @t22 () (@var "B" $$unsorted)) % 16.13/16.39 (define @t23 () (@var "A" $$unsorted)) % 16.13/16.39 (define @t24 () (tptp.x @t23 @t22)) % 16.13/16.39 (define @t25 () (tptp.fail1 @t12 @t17)) % 16.13/16.39 (define @t26 () (not (= @t12 (tptp.n (tptp.proj1N @t12))))) % 16.13/16.39 (define @t27 () (@var "C" $$unsorted)) % 16.13/16.39 (define @t28 () (tptp.n @t27)) % 16.13/16.39 (define @t29 () (not (= @t17 (tptp.n (tptp.proj1N @t17))))) % 16.13/16.39 (define @t30 () (@var "B2" $$unsorted)) % 16.13/16.39 (define @t31 () (tptp.fail @t12 @t17)) % 16.13/16.39 (define @t32 () (tptp.n (tptp.s @t5))) % 16.13/16.39 (define @t33 () (tptp.n tptp.z)) % 16.13/16.39 (define @t34 () (@list @t12)) % 16.13/16.39 (define @t35 () (@var "E2" $$unsorted)) % 16.13/16.39 (define @t36 () (@var "X5" $$unsorted)) % 16.13/16.39 (define @t37 () (tptp.fail4 @t36 @t35)) % 16.13/16.39 (define @t38 () (@list @t36 @t35)) % 16.13/16.39 (define @t39 () (tptp.fail32 @t36 @t35)) % 16.13/16.39 (define @t40 () (not (= @t36 (tptp.n (tptp.proj1N @t36))))) % 16.13/16.39 (define @t41 () (@var "A2" $$unsorted)) % 16.13/16.39 (define @t42 () (tptp.n @t41)) % 16.13/16.39 (define @t43 () (not (= @t35 (tptp.n (tptp.proj1N @t35))))) % 16.13/16.39 (define @t44 () (@var "B3" $$unsorted)) % 16.13/16.39 (define @t45 () (@var "B4" $$unsorted)) % 16.13/16.39 (define @t46 () (@var "A3" $$unsorted)) % 16.13/16.39 (define @t47 () (tptp.fail22 @t36 @t35)) % 16.13/16.39 (define @t48 () (@var "X8" $$unsorted)) % 16.13/16.39 (define @t49 () (tptp.n (tptp.s (tptp.s @t48)))) % 16.13/16.39 (define @t50 () (tptp.n @t14)) % 16.13/16.39 (define @t51 () (@list @t36)) % 16.13/16.39 (define @t52 () (tptp.fail12 @t36 @t35)) % 16.13/16.39 (define @t53 () (@var "X11" $$unsorted)) % 16.13/16.39 (define @t54 () (tptp.n (tptp.s (tptp.s @t53)))) % 16.13/16.39 (define @t55 () (@list @t35)) % 16.13/16.39 (define @t56 () (tptp.fail3 @t36 @t35)) % 16.13/16.39 (define @t57 () (@var "X13" $$unsorted)) % 16.13/16.39 (define @t58 () (tptp.n (tptp.s @t57))) % 16.13/16.39 (define @t59 () (tptp.d (tptp.n @t12))) % 16.13/16.39 (define @t60 () (forall @t34 (= @t59 @t33))) % 16.13/16.39 (define @t61 () (@var "G" $$unsorted)) % 16.13/16.39 (define @t62 () (@var "F" $$unsorted)) % 16.13/16.39 (define @t63 () (@var "G2" $$unsorted)) % 16.13/16.39 (define @t64 () (@var "H" $$unsorted)) % 16.13/16.39 (define @t65 () (tptp.d tptp.x2)) % 16.13/16.39 (define @t66 () (@var "Z" $$unsorted)) % 16.13/16.39 (define @t67 () (tptp.s @t66)) % 16.13/16.39 (define @t68 () (@list @t12 @t66)) % 16.13/16.39 (define @t69 () (tptp.addNat tptp.z @t12)) % 16.13/16.39 (define @t70 () (forall @t34 (= @t69 @t12))) % 16.13/16.39 (define @t71 () (tptp.n (tptp.s @t11))) % 16.13/16.39 (define @t72 () (forall (@list @t17 @t11) (= (tptp.opt (tptp.x @t71 @t17)) (tptp.fail @t71 @t17)))) % 16.13/16.39 (define @t73 () (tptp.opt (tptp.x @t33 @t17))) % 16.13/16.39 (define @t74 () (@list @t17)) % 16.13/16.39 (define @t75 () (forall @t74 (= @t73 @t17))) % 16.13/16.39 (define @t76 () (@var "X15" $$unsorted)) % 16.13/16.39 (define @t77 () (tptp.n (tptp.s @t76))) % 16.13/16.39 (define @t78 () (= (tptp.opt (tptp.d @t17)) (tptp.opt (tptp.d @t21)))) % 16.13/16.39 (define @t79 () (not @t78)) % 16.13/16.39 (define @t80 () (exists @t74 @t79)) % 16.13/16.39 (define @t81 () (not @t80)) % 16.13/16.39 (define @t82 () (@list @t14)) % 16.13/16.39 (define @t83 () (tptp.x tptp.x2 tptp.x2)) % 16.13/16.39 (define @t84 () (@list @t50 tptp.z)) % 16.13/16.39 (define @t85 () (tptp.x @t50 @t50)) % 16.13/16.39 (define @t86 () (tptp.opt @t85)) % 16.13/16.39 (define @t87 () (tptp.fail @t50 @t50)) % 16.13/16.39 (define @t88 () (= @t86 @t87)) % 16.13/16.39 (define @t89 () (= @t87 @t86)) % 16.13/16.39 (define @t90 () (forall @t74 (not @t79))) % 16.13/16.39 (define @t91 () (not @t90)) % 16.13/16.39 (define @t92 () (tptp.x @t33 @t83)) % 16.13/16.39 (define @t93 () (= @t50 @t65)) % 16.13/16.39 (define @t94 () (tptp.d @t33)) % 16.13/16.39 (define @t95 () (= @t33 @t94)) % 16.13/16.39 (define @t96 () (tptp.x @t65 @t65)) % 16.13/16.39 (define @t97 () (tptp.d @t83)) % 16.13/16.39 (define @t98 () (= @t97 @t96)) % 16.13/16.39 (define @t99 () (tptp.d @t16)) % 16.13/16.39 (define @t100 () (= @t33 @t99)) % 16.13/16.39 (define @t101 () (tptp.addNat tptp.z @t14)) % 16.13/16.39 (define @t102 () (= @t14 @t101)) % 16.13/16.39 (define @t103 () (tptp.d @t50)) % 16.13/16.39 (define @t104 () (= @t33 @t103)) % 16.13/16.39 (define @t105 () (tptp.opt @t92)) % 16.13/16.39 (define @t106 () (= @t83 @t105)) % 16.13/16.39 (define @t107 () (tptp.fail1 @t50 @t50)) % 16.13/16.39 (define @t108 () (= @t87 @t107)) % 16.13/16.39 (define @t109 () (tptp.addNat @t14 @t14)) % 16.13/16.39 (define @t110 () (= @t109 (tptp.s @t101))) % 16.13/16.39 (define @t111 () (tptp.x @t103 @t103)) % 16.13/16.39 (define @t112 () (= (tptp.d @t85) @t111)) % 16.13/16.39 (define @t113 () (= @t107 (tptp.n @t109))) % 16.13/16.39 (define @t114 () (tptp.x @t94 @t97)) % 16.13/16.39 (define @t115 () (tptp.d @t92)) % 16.13/16.39 (define @t116 () (= @t115 @t114)) % 16.13/16.39 (define @t117 () (= @t85 (tptp.opt (tptp.x @t33 @t85)))) % 16.13/16.39 (define @t118 () (tptp.opt @t115)) % 16.13/16.39 (define @t119 () (= @t118 (tptp.opt (tptp.d @t105)))) % 16.13/16.39 (define @t120 () (= @t33 (tptp.x @t33 @t33))) % 16.13/16.39 (define @t121 () (and @t93 @t95 @t98 @t100 @t102 @t104 @t106 @t108 @t89 @t110 @t112 @t113 @t116 @t117 @t119)) % 16.13/16.39 (assume @p1 (forall @t3 (= (tptp.proj1S @t2) @t1))) % 16.13/16.39 (assume @p2 (forall @t3 (not (= @t2 tptp.z)))) % 16.13/16.39 (assume @p3 (forall @t3 (= (tptp.proj1N @t4) @t1))) % 16.13/16.39 (assume @p4 (forall @t7 (= (tptp.proj1 @t6) @t1))) % 16.13/16.39 (assume @p5 (forall @t7 (= (tptp.proj2 @t6) @t5))) % 16.13/16.39 (assume @p6 (forall @t7 (= (tptp.proj12 @t8) @t1))) % 16.13/16.39 (assume @p7 (forall @t7 (= (tptp.proj22 @t8) @t5))) % 16.13/16.39 (assume @p8 (forall @t10 (not (= @t4 (tptp.x @t5 @t9))))) % 16.13/16.39 (assume @p9 (forall @t10 (not (= @t4 (tptp.y @t5 @t9))))) % 16.13/16.39 (assume @p10 (forall @t3 (not (= @t4 tptp.x2)))) % 16.13/16.39 (assume @p11 (forall (@list @t1 @t5 @t9 @t11) (not (= @t6 (tptp.y @t9 @t11))))) % 16.13/16.39 (assume @p12 (forall @t7 (not (= @t6 tptp.x2)))) % 16.13/16.39 (assume @p13 (forall @t7 (not (= @t8 tptp.x2)))) % 16.13/16.39 (assume @p14 (forall @t20 (=> @t19 (= @t18 (tptp.y @t16 @t13))))) % 16.13/16.39 (assume @p15 (forall @t20 (=> (not @t19) (=> (not (= @t12 (tptp.x (tptp.proj1 @t12) (tptp.proj2 @t12)))) (= @t18 (tptp.x @t13 @t21)))))) % 16.13/16.39 (assume @p16 (forall (@list @t17 @t23 @t22) (=> (not (= @t24 @t17)) (= (tptp.fail2 @t24 @t17) (tptp.opt (tptp.x @t23 (tptp.x @t22 @t17))))))) % 16.13/16.39 (assume @p17 (forall @t20 (=> @t26 (= @t25 @t18)))) % 16.13/16.39 (assume @p18 (forall (@list @t17 @t27) (=> @t29 (= (tptp.fail1 @t28 @t17) (tptp.fail2 @t28 @t17))))) % 16.13/16.39 (assume @p19 (forall (@list @t27 @t30) (= (tptp.fail1 @t28 (tptp.n @t30)) (tptp.n (tptp.addNat @t27 @t30))))) % 16.13/16.39 (assume @p20 (forall @t20 (=> @t29 (= @t31 @t25)))) % 16.13/16.39 (assume @p21 (forall (@list @t12 @t5) (= (tptp.fail @t12 @t32) (tptp.fail1 @t12 @t32)))) % 16.13/16.39 (assume @p22 (forall @t34 (= (tptp.fail @t12 @t33) @t12))) % 16.13/16.39 (assume @p23 (forall @t38 (= @t37 (tptp.y (tptp.opt @t36) (tptp.opt @t35))))) % 16.13/16.39 (assume @p24 (forall @t38 (=> @t40 (=> (not (= @t36 (tptp.y (tptp.proj12 @t36) (tptp.proj22 @t36)))) (= @t39 @t37))))) % 16.13/16.39 (assume @p25 (forall (@list @t35 @t41) (=> @t43 (= (tptp.fail32 @t42 @t35) (tptp.fail4 @t42 @t35))))) % 16.13/16.39 (assume @p26 (forall (@list @t41 @t44) (= (tptp.fail32 @t42 (tptp.n @t44)) (tptp.n (tptp.mulNat @t41 @t44))))) % 16.13/16.39 (assume @p27 (forall (@list @t35 @t46 @t45) (= (tptp.fail32 (tptp.y @t46 @t45) @t35) (tptp.opt (tptp.y @t46 (tptp.y @t45 @t35)))))) % 16.13/16.39 (assume @p28 (forall @t38 (=> @t43 (= @t47 @t39)))) % 16.13/16.39 (assume @p29 (forall (@list @t36 @t48) (= (tptp.fail22 @t36 @t49) (tptp.fail32 @t36 @t49)))) % 16.13/16.39 (assume @p30 (forall @t51 (= (tptp.fail22 @t36 @t50) @t36))) % 16.13/16.39 (assume @p31 (forall @t51 (= (tptp.fail22 @t36 @t33) (tptp.fail32 @t36 @t33)))) % 16.13/16.39 (assume @p32 (forall @t38 (=> @t40 (= @t52 @t47)))) % 16.13/16.39 (assume @p33 (forall (@list @t35 @t53) (= (tptp.fail12 @t54 @t35) (tptp.fail22 @t54 @t35)))) % 16.13/16.39 (assume @p34 (forall @t55 (= (tptp.fail12 @t50 @t35) @t35))) % 16.13/16.39 (assume @p35 (forall @t55 (= (tptp.fail12 @t33 @t35) (tptp.fail22 @t33 @t35)))) % 16.13/16.39 (assume @p36 (forall @t38 (=> @t43 (= @t56 @t52)))) % 16.13/16.39 (assume @p37 (forall (@list @t36 @t57) (= (tptp.fail3 @t36 @t58) (tptp.fail12 @t36 @t58)))) % 16.13/16.39 (assume @p38 (forall @t51 (= (tptp.fail3 @t36 @t33) @t33))) % 16.13/16.39 (assume @p39 @t60) % 16.13/16.39 (assume @p40 (forall (@list @t62 @t61) (= (tptp.d (tptp.x @t62 @t61)) (tptp.x (tptp.d @t62) (tptp.d @t61))))) % 16.13/16.39 (assume @p41 (forall (@list @t64 @t63) (= (tptp.d (tptp.y @t64 @t63)) (tptp.x (tptp.y (tptp.d @t64) @t63) (tptp.y @t64 (tptp.d @t63)))))) % 16.13/16.39 (assume @p42 (= @t65 @t50)) % 16.13/16.39 (assume @p43 (forall @t68 (= (tptp.addNat @t67 @t12) (tptp.s (tptp.addNat @t66 @t12))))) % 16.13/16.39 (assume @p44 @t70) % 16.13/16.39 (assume @p45 (forall @t68 (= (tptp.mulNat @t67 @t12) (tptp.addNat @t12 (tptp.mulNat @t66 @t12))))) % 16.13/16.39 (assume @p46 (forall @t34 (= (tptp.mulNat tptp.z @t12) tptp.z))) % 16.13/16.39 (assume @p47 (forall @t3 (=> (not (= @t1 (tptp.x (tptp.proj1 @t1) (tptp.proj2 @t1)))) (=> (not (= @t1 (tptp.y (tptp.proj12 @t1) (tptp.proj22 @t1)))) (= (tptp.opt @t1) @t1))))) % 16.13/16.39 (assume @p48 (forall @t20 (=> @t26 (= (tptp.opt (tptp.x @t12 @t17)) @t31)))) % 16.13/16.39 (assume @p49 @t72) % 16.13/16.39 (assume @p50 @t75) % 16.13/16.39 (assume @p51 (forall @t38 (=> @t40 (= (tptp.opt (tptp.y @t36 @t35)) @t56)))) % 16.13/16.39 (assume @p52 (forall (@list @t35 @t76) (= (tptp.opt (tptp.y @t77 @t35)) (tptp.fail3 @t77 @t35)))) % 16.13/16.39 (assume @p53 (forall @t55 (= (tptp.opt (tptp.y @t33 @t35)) @t33))) % 16.13/16.39 (assume @p54 @t81) % 16.13/16.39 (assume @p55 true) % 16.13/16.39 (step @p56 :rule symm :premises (@p42)) % 16.13/16.39 (step @p57 :rule eq-symm :args (@t59 @t33)) % 16.13/16.39 (step @p58 :rule cong :premises (@p57) :args (@t60)) % 16.13/16.39 (step @p59 :rule eq_resolve :premises (@p39 @p58)) % 16.13/16.39 (step @p60 :rule instantiate :premises (@p59) :args ((@list tptp.z))) % 16.13/16.39 (step @p61 :rule instantiate :premises (@p40) :args ((@list tptp.x2 tptp.x2))) % 16.13/16.39 (step @p62 :rule instantiate :premises (@p59) :args ((@list @t15))) % 16.13/16.39 (step @p63 :rule eq-symm :args (@t69 @t12)) % 16.13/16.39 (step @p64 :rule cong :premises (@p63) :args (@t70)) % 16.13/16.39 (step @p65 :rule eq_resolve :premises (@p44 @p64)) % 16.13/16.39 (step @p66 :rule instantiate :premises (@p65) :args (@t82)) % 16.13/16.39 (step @p67 :rule instantiate :premises (@p59) :args (@t82)) % 16.13/16.39 (step @p68 :rule eq-symm :args (@t73 @t17)) % 16.13/16.39 (step @p69 :rule cong :premises (@p68) :args (@t75)) % 16.13/16.39 (step @p70 :rule eq_resolve :premises (@p50 @p69)) % 16.13/16.39 (step @p71 :rule instantiate :premises (@p70) :args ((@list @t83))) % 16.13/16.39 (step @p72 :rule instantiate :premises (@p8) :args ((@list tptp.z @t33 @t33))) % 16.13/16.39 (step @p73 :rule instantiate :premises (@p21) :args (@t84)) % 16.13/16.39 (step @p74 :rule eq-symm :args (@t86 @t87)) % 16.13/16.39 (step @p75 :rule refl :args (@t72)) % 16.13/16.39 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t72 @t88))) % 16.13/16.39 (assume-push @p158 @t72) % 16.13/16.39 (step @p78 :rule instantiate :premises (@p49) :args (@t84)) % 16.13/16.39 (step-pop @p159 :rule scope :premises (@p78)) % 16.13/16.39 (step @p79 :rule process_scope :premises (@p159) :args (@t88)) % 16.13/16.39 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 16.13/16.39 (step @p82 :rule implies_elim :premises (@p81)) % 16.13/16.39 (step @p83 :rule chain_m_resolution :premises (@p82 @p49) :args (@t89 (@list false) (@list @t72))) % 16.13/16.39 (step @p84 :rule instantiate :premises (@p43) :args ((@list @t14 tptp.z))) % 16.13/16.39 (step @p85 :rule instantiate :premises (@p40) :args ((@list @t50 @t50))) % 16.13/16.39 (step @p86 :rule instantiate :premises (@p19) :args ((@list @t14 @t14))) % 16.13/16.39 (step @p87 :rule instantiate :premises (@p40) :args ((@list @t33 @t83))) % 16.13/16.39 (step @p88 :rule instantiate :premises (@p70) :args ((@list @t85))) % 16.13/16.39 (step @p89 :rule bool-double-not-elim :args ((forall @t74 @t78))) % 16.13/16.39 (step @p90 :rule bool-double-not-elim :args (@t78)) % 16.13/16.39 (step @p91 :rule cong :premises (@p90) :args (@t90)) % 16.13/16.39 (step @p92 :rule cong :premises (@p91) :args (@t91)) % 16.13/16.39 (step @p93 :rule exists-elim :args ((= @t80 @t91))) % 16.13/16.39 (step @p94 :rule trans :premises (@p93 @p92)) % 16.13/16.39 (step @p95 :rule cong :premises (@p94) :args (@t81)) % 16.13/16.39 (step @p96 :rule trans :premises (@p95 @p89)) % 16.13/16.39 (step @p97 :rule eq_resolve :premises (@p54 @p96)) % 16.13/16.39 (step @p98 :rule instantiate :premises (@p97) :args ((@list @t92))) % 16.13/16.39 (assume-push @p160 @t93) % 16.13/16.39 (assume-push @p161 @t95) % 16.13/16.39 (assume-push @p162 @t98) % 16.13/16.39 (assume-push @p163 @t100) % 16.13/16.39 (assume-push @p164 @t102) % 16.13/16.39 (assume-push @p165 @t104) % 16.13/16.39 (assume-push @p166 @t106) % 16.13/16.39 (assume-push @p167 @t108) % 16.13/16.39 (assume-push @p168 @t89) % 16.13/16.39 (assume-push @p169 @t110) % 16.13/16.39 (assume-push @p170 @t112) % 16.13/16.39 (assume-push @p171 @t113) % 16.13/16.39 (assume-push @p172 @t116) % 16.13/16.39 (assume-push @p173 @t117) % 16.13/16.39 (assume-push @p174 @t119) % 16.13/16.39 (step @p114 :rule symm :premises (@p67)) % 16.13/16.39 (step @p115 :rule cong :premises (@p114 @p114) :args (@t111)) % 16.13/16.39 (step @p116 :rule symm :premises (@p88)) % 16.13/16.40 (step @p117 :rule cong :premises (@p42 @p42) :args (@t96)) % 16.13/16.40 (step @p118 :rule trans :premises (@p61 @p117)) % 16.13/16.40 (step @p119 :rule symm :premises (@p60)) % 16.13/16.40 (step @p120 :rule cong :premises (@p119 @p118) :args (@t114)) % 16.13/16.40 (step @p121 :rule trans :premises (@p87 @p120)) % 16.13/16.40 (step @p122 :rule cong :premises (@p121) :args (@t118)) % 16.13/16.40 (step @p123 :rule symm :premises (@p98)) % 16.13/16.40 (step @p124 :rule cong :premises (@p71) :args (@t97)) % 16.13/16.40 (step @p125 :rule cong :premises (@p124) :args ((tptp.opt @t97))) % 16.13/16.40 (step @p126 :rule symm :premises (@p118)) % 16.13/16.40 (step @p127 :rule cong :premises (@p126) :args (@t86)) % 16.13/16.40 (step @p128 :rule symm :premises (@p73)) % 16.13/16.40 (step @p129 :rule symm :premises (@p86)) % 16.13/16.40 (step @p130 :rule symm :premises (@p84)) % 16.13/16.40 (step @p131 :rule cong :premises (@p66) :args (@t15)) % 16.13/16.40 (step @p132 :rule trans :premises (@p131 @p130)) % 16.13/16.40 (step @p133 :rule cong :premises (@p132) :args (@t16)) % 16.13/16.40 (step @p134 :rule trans :premises (@p133 @p129 @p128 @p83 @p127 @p125 @p123 @p122 @p116)) % 16.13/16.40 (step @p135 :rule cong :premises (@p134) :args (@t99)) % 16.13/16.40 (step @p136 :rule trans :premises (@p62 @p135 @p85 @p115)) % 16.13/16.40 (step-pop @p175 :rule scope :premises (@p136)) % 16.13/16.40 (step-pop @p176 :rule scope :premises (@p175)) % 16.13/16.40 (step-pop @p177 :rule scope :premises (@p176)) % 16.13/16.40 (step-pop @p178 :rule scope :premises (@p177)) % 16.13/16.40 (step-pop @p179 :rule scope :premises (@p178)) % 16.13/16.40 (step-pop @p180 :rule scope :premises (@p179)) % 16.13/16.40 (step-pop @p181 :rule scope :premises (@p180)) % 16.13/16.40 (step-pop @p182 :rule scope :premises (@p181)) % 16.13/16.40 (step-pop @p183 :rule scope :premises (@p182)) % 16.13/16.40 (step-pop @p184 :rule scope :premises (@p183)) % 16.13/16.40 (step-pop @p185 :rule scope :premises (@p184)) % 16.13/16.40 (step-pop @p186 :rule scope :premises (@p185)) % 16.13/16.40 (step-pop @p187 :rule scope :premises (@p186)) % 16.13/16.40 (step-pop @p188 :rule scope :premises (@p187)) % 16.13/16.40 (step-pop @p189 :rule scope :premises (@p188)) % 16.13/16.40 (step @p137 :rule process_scope :premises (@p189) :args (@t120)) % 16.13/16.40 (step @p153 :rule implies_elim :premises (@p137)) % 16.13/16.40 (step @p154 :rule cnf_and_neg :args (@t121)) % 16.13/16.40 (step @p155 :rule resolution :premises (@p154 @p153) :args (true @t121)) % 16.13/16.40 (step @p156 :rule reordering :premises (@p155) :args ((or (not @t93) (not @t95) (not @t98) (not @t100) (not @t102) (not @t104) (not @t106) @t120 (not @t108) (not @t89) (not @t110) (not @t112) (not @t113) (not @t116) (not @t117) (not @t119)))) % 16.13/16.40 (step @p157 false :rule chain_m_resolution :premises (@p156 @p98 @p88 @p87 @p86 @p85 @p84 @p83 @p73 @p72 @p71 @p67 @p66 @p62 @p61 @p60 @p56) :args (false (@list false false false false false false false false true false false false false false false false) (@list @t119 @t117 @t116 @t113 @t112 @t110 @t89 @t108 @t120 @t106 @t104 @t102 @t100 @t98 @t95 @t93))) % 16.13/16.40 ) % 16.13/16.40 % SZS output end Proof % 16.13/16.40 % cvc5 exiting %------------------------------------------------------------------------------