%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG014+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:04:55 AM UTC 2026 % Result : Theorem 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG014+1 : TPTP v9.2.1. Released v2.7.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 01:35:59 EDT 2026 % 0.18/0.35 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.60 % SZS status Theorem % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-const tptp.e0 $$unsorted) % 0.36/0.60 (declare-const tptp.e1 $$unsorted) % 0.36/0.60 (declare-const tptp.unit $$unsorted) % 0.36/0.60 (declare-const tptp.e2 $$unsorted) % 0.36/0.60 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.op (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.e3 $$unsorted) % 0.36/0.60 (define @t1 () (tptp.op tptp.e3 tptp.e3)) % 0.36/0.60 (define @t2 () (= @t1 tptp.e3)) % 0.36/0.60 (define @t3 () (= @t1 tptp.e2)) % 0.36/0.60 (define @t4 () (= @t1 tptp.e1)) % 0.36/0.60 (define @t5 () (= @t1 tptp.e0)) % 0.36/0.60 (define @t6 () (tptp.op tptp.e3 tptp.e2)) % 0.36/0.60 (define @t7 () (tptp.op tptp.e3 tptp.e1)) % 0.36/0.60 (define @t8 () (tptp.op tptp.e3 tptp.e0)) % 0.36/0.60 (define @t9 () (tptp.op tptp.e2 tptp.e3)) % 0.36/0.60 (define @t10 () (tptp.op tptp.e2 tptp.e2)) % 0.36/0.60 (define @t11 () (= @t10 tptp.e3)) % 0.36/0.60 (define @t12 () (= @t10 tptp.e2)) % 0.36/0.60 (define @t13 () (= @t10 tptp.e1)) % 0.36/0.60 (define @t14 () (= @t10 tptp.e0)) % 0.36/0.60 (define @t15 () (tptp.op tptp.e2 tptp.e1)) % 0.36/0.60 (define @t16 () (tptp.op tptp.e2 tptp.e0)) % 0.36/0.60 (define @t17 () (tptp.op tptp.e1 tptp.e3)) % 0.36/0.60 (define @t18 () (tptp.op tptp.e1 tptp.e2)) % 0.36/0.60 (define @t19 () (tptp.op tptp.e1 tptp.e1)) % 0.36/0.60 (define @t20 () (= @t19 tptp.e3)) % 0.36/0.60 (define @t21 () (= @t19 tptp.e2)) % 0.36/0.60 (define @t22 () (= @t19 tptp.e1)) % 0.36/0.60 (define @t23 () (= @t19 tptp.e0)) % 0.36/0.60 (define @t24 () (tptp.op tptp.e1 tptp.e0)) % 0.36/0.60 (define @t25 () (tptp.op tptp.e0 tptp.e3)) % 0.36/0.60 (define @t26 () (tptp.op tptp.e0 tptp.e2)) % 0.36/0.60 (define @t27 () (tptp.op tptp.e0 tptp.e1)) % 0.36/0.60 (define @t28 () (tptp.op tptp.e0 tptp.e0)) % 0.36/0.60 (define @t29 () (= @t28 tptp.e3)) % 0.36/0.60 (define @t30 () (= @t28 tptp.e2)) % 0.36/0.60 (define @t31 () (= @t28 tptp.e1)) % 0.36/0.60 (define @t32 () (= @t28 tptp.e0)) % 0.36/0.60 (define @t33 () (= tptp.unit tptp.e0)) % 0.36/0.60 (define @t34 () (tptp.op tptp.e3 tptp.unit)) % 0.36/0.60 (define @t35 () (tptp.op tptp.e2 tptp.unit)) % 0.36/0.60 (define @t36 () (tptp.op tptp.e1 tptp.unit)) % 0.36/0.60 (define @t37 () (tptp.op tptp.e0 tptp.unit)) % 0.36/0.60 (define @t38 () (tptp.inv tptp.e3)) % 0.36/0.60 (define @t39 () (= @t38 tptp.e3)) % 0.36/0.60 (define @t40 () (= @t38 tptp.e2)) % 0.36/0.60 (define @t41 () (= @t38 tptp.e1)) % 0.36/0.60 (define @t42 () (= @t38 tptp.e0)) % 0.36/0.60 (define @t43 () (tptp.inv tptp.e2)) % 0.36/0.60 (define @t44 () (= @t43 tptp.e3)) % 0.36/0.60 (define @t45 () (= @t43 tptp.e2)) % 0.36/0.60 (define @t46 () (= @t43 tptp.e1)) % 0.36/0.60 (define @t47 () (= @t43 tptp.e0)) % 0.36/0.60 (define @t48 () (tptp.inv tptp.e1)) % 0.36/0.60 (define @t49 () (= @t48 tptp.e3)) % 0.36/0.60 (define @t50 () (= @t48 tptp.e2)) % 0.36/0.60 (define @t51 () (= @t48 tptp.e1)) % 0.36/0.60 (define @t52 () (= @t48 tptp.e0)) % 0.36/0.60 (define @t53 () (tptp.inv tptp.e0)) % 0.36/0.60 (define @t54 () (= @t53 tptp.e3)) % 0.36/0.60 (define @t55 () (= @t53 tptp.e2)) % 0.36/0.60 (define @t56 () (= @t53 tptp.e1)) % 0.36/0.60 (define @t57 () (= @t53 tptp.e0)) % 0.36/0.60 (define @t58 () (and @t29 @t20 @t11 @t2)) % 0.36/0.60 (define @t59 () (and @t30 @t21 @t12 @t3)) % 0.36/0.60 (define @t60 () (and @t31 @t22 @t13 @t4)) % 0.36/0.60 (define @t61 () (and @t32 @t23 @t14 @t5)) % 0.36/0.60 (define @t62 () (or @t61 @t60 @t59 @t58)) % 0.36/0.60 (define @t63 () (not @t62)) % 0.36/0.60 (define @t64 () (or @t61 @t60 @t59 @t58 @t63)) % 0.36/0.60 (define @t65 () (not @t64)) % 0.36/0.60 (define @t66 () (= tptp.e3 @t28)) % 0.36/0.60 (define @t67 () (not @t66)) % 0.36/0.60 (define @t68 () (= tptp.e0 tptp.unit)) % 0.36/0.60 (define @t69 () (not @t68)) % 0.36/0.60 (define @t70 () (= @t8 @t28)) % 0.36/0.60 (define @t71 () (= tptp.e3 @t34)) % 0.36/0.60 (define @t72 () (not @t71)) % 0.36/0.60 (define @t73 () (not @t70)) % 0.36/0.60 (define @t74 () (and @t71 @t73 @t68)) % 0.36/0.60 (define @t75 () (@list true false false)) % 0.36/0.60 (define @t76 () (and @t66 (= tptp.e3 @t19) (= tptp.e3 @t10) (= tptp.e3 @t1))) % 0.36/0.60 (define @t77 () (not @t76)) % 0.36/0.60 (define @t78 () (@list true)) % 0.36/0.60 (define @t79 () (= tptp.e2 @t28)) % 0.36/0.60 (define @t80 () (not @t79)) % 0.36/0.60 (define @t81 () (= @t16 @t28)) % 0.36/0.60 (define @t82 () (= tptp.e2 @t35)) % 0.36/0.60 (define @t83 () (not @t82)) % 0.36/0.60 (define @t84 () (not @t81)) % 0.36/0.60 (define @t85 () (and @t82 @t84 @t68)) % 0.36/0.60 (define @t86 () (and @t79 (= tptp.e2 @t19) (= tptp.e2 @t10) (= tptp.e2 @t1))) % 0.36/0.60 (define @t87 () (not @t86)) % 0.36/0.60 (define @t88 () (= tptp.e1 @t28)) % 0.36/0.60 (define @t89 () (not @t88)) % 0.36/0.60 (define @t90 () (= @t24 @t28)) % 0.36/0.60 (define @t91 () (= tptp.e1 @t36)) % 0.36/0.60 (define @t92 () (not @t91)) % 0.36/0.60 (define @t93 () (not @t90)) % 0.36/0.60 (define @t94 () (and @t91 @t93 @t68)) % 0.36/0.60 (define @t95 () (and @t88 (= tptp.e1 @t19) (= tptp.e1 @t10) (= tptp.e1 @t1))) % 0.36/0.60 (define @t96 () (not @t95)) % 0.36/0.60 (define @t97 () (= tptp.e0 @t1)) % 0.36/0.60 (define @t98 () (= tptp.e0 @t10)) % 0.36/0.60 (define @t99 () (= tptp.e0 @t19)) % 0.36/0.60 (define @t100 () (= tptp.e0 @t28)) % 0.36/0.60 (define @t101 () (and @t100 @t99 @t98 @t97)) % 0.36/0.60 (define @t102 () (not @t101)) % 0.36/0.60 (define @t103 () (@list false)) % 0.36/0.60 (define @t104 () (@list @t101)) % 0.36/0.60 (assume @p1 (and (or @t32 @t31 @t30 @t29) (or (= @t27 tptp.e0) (= @t27 tptp.e1) (= @t27 tptp.e2) (= @t27 tptp.e3)) (or (= @t26 tptp.e0) (= @t26 tptp.e1) (= @t26 tptp.e2) (= @t26 tptp.e3)) (or (= @t25 tptp.e0) (= @t25 tptp.e1) (= @t25 tptp.e2) (= @t25 tptp.e3)) (or (= @t24 tptp.e0) (= @t24 tptp.e1) (= @t24 tptp.e2) (= @t24 tptp.e3)) (or @t23 @t22 @t21 @t20) (or (= @t18 tptp.e0) (= @t18 tptp.e1) (= @t18 tptp.e2) (= @t18 tptp.e3)) (or (= @t17 tptp.e0) (= @t17 tptp.e1) (= @t17 tptp.e2) (= @t17 tptp.e3)) (or (= @t16 tptp.e0) (= @t16 tptp.e1) (= @t16 tptp.e2) (= @t16 tptp.e3)) (or (= @t15 tptp.e0) (= @t15 tptp.e1) (= @t15 tptp.e2) (= @t15 tptp.e3)) (or @t14 @t13 @t12 @t11) (or (= @t9 tptp.e0) (= @t9 tptp.e1) (= @t9 tptp.e2) (= @t9 tptp.e3)) (or (= @t8 tptp.e0) (= @t8 tptp.e1) (= @t8 tptp.e2) (= @t8 tptp.e3)) (or (= @t7 tptp.e0) (= @t7 tptp.e1) (= @t7 tptp.e2) (= @t7 tptp.e3)) (or (= @t6 tptp.e0) (= @t6 tptp.e1) (= @t6 tptp.e2) (= @t6 tptp.e3)) (or @t5 @t4 @t3 @t2))) % 0.36/0.60 (assume @p2 (and (= (tptp.op @t28 tptp.e0) (tptp.op tptp.e0 @t28)) (= (tptp.op @t28 tptp.e1) (tptp.op tptp.e0 @t27)) (= (tptp.op @t28 tptp.e2) (tptp.op tptp.e0 @t26)) (= (tptp.op @t28 tptp.e3) (tptp.op tptp.e0 @t25)) (= (tptp.op @t27 tptp.e0) (tptp.op tptp.e0 @t24)) (= (tptp.op @t27 tptp.e1) (tptp.op tptp.e0 @t19)) (= (tptp.op @t27 tptp.e2) (tptp.op tptp.e0 @t18)) (= (tptp.op @t27 tptp.e3) (tptp.op tptp.e0 @t17)) (= (tptp.op @t26 tptp.e0) (tptp.op tptp.e0 @t16)) (= (tptp.op @t26 tptp.e1) (tptp.op tptp.e0 @t15)) (= (tptp.op @t26 tptp.e2) (tptp.op tptp.e0 @t10)) (= (tptp.op @t26 tptp.e3) (tptp.op tptp.e0 @t9)) (= (tptp.op @t25 tptp.e0) (tptp.op tptp.e0 @t8)) (= (tptp.op @t25 tptp.e1) (tptp.op tptp.e0 @t7)) (= (tptp.op @t25 tptp.e2) (tptp.op tptp.e0 @t6)) (= (tptp.op @t25 tptp.e3) (tptp.op tptp.e0 @t1)) (= (tptp.op @t24 tptp.e0) (tptp.op tptp.e1 @t28)) (= (tptp.op @t24 tptp.e1) (tptp.op tptp.e1 @t27)) (= (tptp.op @t24 tptp.e2) (tptp.op tptp.e1 @t26)) (= (tptp.op @t24 tptp.e3) (tptp.op tptp.e1 @t25)) (= (tptp.op @t19 tptp.e0) (tptp.op tptp.e1 @t24)) (= (tptp.op @t19 tptp.e1) (tptp.op tptp.e1 @t19)) (= (tptp.op @t19 tptp.e2) (tptp.op tptp.e1 @t18)) (= (tptp.op @t19 tptp.e3) (tptp.op tptp.e1 @t17)) (= (tptp.op @t18 tptp.e0) (tptp.op tptp.e1 @t16)) (= (tptp.op @t18 tptp.e1) (tptp.op tptp.e1 @t15)) (= (tptp.op @t18 tptp.e2) (tptp.op tptp.e1 @t10)) (= (tptp.op @t18 tptp.e3) (tptp.op tptp.e1 @t9)) (= (tptp.op @t17 tptp.e0) (tptp.op tptp.e1 @t8)) (= (tptp.op @t17 tptp.e1) (tptp.op tptp.e1 @t7)) (= (tptp.op @t17 tptp.e2) (tptp.op tptp.e1 @t6)) (= (tptp.op @t17 tptp.e3) (tptp.op tptp.e1 @t1)) (= (tptp.op @t16 tptp.e0) (tptp.op tptp.e2 @t28)) (= (tptp.op @t16 tptp.e1) (tptp.op tptp.e2 @t27)) (= (tptp.op @t16 tptp.e2) (tptp.op tptp.e2 @t26)) (= (tptp.op @t16 tptp.e3) (tptp.op tptp.e2 @t25)) (= (tptp.op @t15 tptp.e0) (tptp.op tptp.e2 @t24)) (= (tptp.op @t15 tptp.e1) (tptp.op tptp.e2 @t19)) (= (tptp.op @t15 tptp.e2) (tptp.op tptp.e2 @t18)) (= (tptp.op @t15 tptp.e3) (tptp.op tptp.e2 @t17)) (= (tptp.op @t10 tptp.e0) (tptp.op tptp.e2 @t16)) (= (tptp.op @t10 tptp.e1) (tptp.op tptp.e2 @t15)) (= (tptp.op @t10 tptp.e2) (tptp.op tptp.e2 @t10)) (= (tptp.op @t10 tptp.e3) (tptp.op tptp.e2 @t9)) (= (tptp.op @t9 tptp.e0) (tptp.op tptp.e2 @t8)) (= (tptp.op @t9 tptp.e1) (tptp.op tptp.e2 @t7)) (= (tptp.op @t9 tptp.e2) (tptp.op tptp.e2 @t6)) (= (tptp.op @t9 tptp.e3) (tptp.op tptp.e2 @t1)) (= (tptp.op @t8 tptp.e0) (tptp.op tptp.e3 @t28)) (= (tptp.op @t8 tptp.e1) (tptp.op tptp.e3 @t27)) (= (tptp.op @t8 tptp.e2) (tptp.op tptp.e3 @t26)) (= (tptp.op @t8 tptp.e3) (tptp.op tptp.e3 @t25)) (= (tptp.op @t7 tptp.e0) (tptp.op tptp.e3 @t24)) (= (tptp.op @t7 tptp.e1) (tptp.op tptp.e3 @t19)) (= (tptp.op @t7 tptp.e2) (tptp.op tptp.e3 @t18)) (= (tptp.op @t7 tptp.e3) (tptp.op tptp.e3 @t17)) (= (tptp.op @t6 tptp.e0) (tptp.op tptp.e3 @t16)) (= (tptp.op @t6 tptp.e1) (tptp.op tptp.e3 @t15)) (= (tptp.op @t6 tptp.e2) (tptp.op tptp.e3 @t10)) (= (tptp.op @t6 tptp.e3) (tptp.op tptp.e3 @t9)) (= (tptp.op @t1 tptp.e0) (tptp.op tptp.e3 @t8)) (= (tptp.op @t1 tptp.e1) (tptp.op tptp.e3 @t7)) (= (tptp.op @t1 tptp.e2) (tptp.op tptp.e3 @t6)) (= (tptp.op @t1 tptp.e3) (tptp.op tptp.e3 @t1)))) % 0.36/0.60 (assume @p3 (and (= (tptp.op tptp.unit tptp.e0) tptp.e0) (= @t37 tptp.e0) (= (tptp.op tptp.unit tptp.e1) tptp.e1) (= @t36 tptp.e1) (= (tptp.op tptp.unit tptp.e2) tptp.e2) (= @t35 tptp.e2) (= (tptp.op tptp.unit tptp.e3) tptp.e3) (= @t34 tptp.e3) (or @t33 (= tptp.unit tptp.e1) (= tptp.unit tptp.e2) (= tptp.unit tptp.e3)))) % 0.36/0.60 (assume @p4 (and (= (tptp.op tptp.e0 @t53) tptp.unit) (= (tptp.op @t53 tptp.e0) tptp.unit) (= (tptp.op tptp.e1 @t48) tptp.unit) (= (tptp.op @t48 tptp.e1) tptp.unit) (= (tptp.op tptp.e2 @t43) tptp.unit) (= (tptp.op @t43 tptp.e2) tptp.unit) (= (tptp.op tptp.e3 @t38) tptp.unit) (= (tptp.op @t38 tptp.e3) tptp.unit) (or @t57 @t56 @t55 @t54) (or @t52 @t51 @t50 @t49) (or @t47 @t46 @t45 @t44) (or @t42 @t41 @t40 @t39))) % 0.36/0.60 (assume @p5 @t33) % 0.36/0.60 (assume @p6 (= (tptp.inv tptp.unit) tptp.unit)) % 0.36/0.60 (assume @p7 (and (= (tptp.inv @t53) tptp.e0) (= (tptp.inv @t48) tptp.e1) (= (tptp.inv @t43) tptp.e2) (= (tptp.inv @t38) tptp.e3))) % 0.36/0.60 (assume @p8 (and (=> @t57 @t57) (=> @t56 @t52) (=> @t55 @t47) (=> @t54 @t42) (=> @t52 @t56) (=> @t51 @t51) (=> @t50 @t46) (=> @t49 @t41) (=> @t47 @t55) (=> @t46 @t50) (=> @t45 @t45) (=> @t44 @t40) (=> @t42 @t54) (=> @t41 @t49) (=> @t40 @t44) (=> @t39 @t39))) % 0.36/0.60 (assume @p9 (and (not (= @t53 @t48)) (not (= @t53 @t43)) (not (= @t53 @t38)) (not (= @t48 @t43)) (not (= @t48 @t38)) (not (= @t43 @t38)))) % 0.36/0.60 (assume @p10 (and (not (= @t28 @t24)) (not (= @t28 @t16)) (not (= @t28 @t8)) (not (= @t24 @t16)) (not (= @t24 @t8)) (not (= @t16 @t8)) (not (= @t27 @t19)) (not (= @t27 @t15)) (not (= @t27 @t7)) (not (= @t19 @t15)) (not (= @t19 @t7)) (not (= @t15 @t7)) (not (= @t26 @t18)) (not (= @t26 @t10)) (not (= @t26 @t6)) (not (= @t18 @t10)) (not (= @t18 @t6)) (not (= @t10 @t6)) (not (= @t25 @t17)) (not (= @t25 @t9)) (not (= @t25 @t1)) (not (= @t17 @t9)) (not (= @t17 @t1)) (not (= @t9 @t1)) (not (= @t28 @t27)) (not (= @t28 @t26)) (not (= @t28 @t25)) (not (= @t27 @t26)) (not (= @t27 @t25)) (not (= @t26 @t25)) (not (= @t24 @t19)) (not (= @t24 @t18)) (not (= @t24 @t17)) (not (= @t19 @t18)) (not (= @t19 @t17)) (not (= @t18 @t17)) (not (= @t16 @t15)) (not (= @t16 @t10)) (not (= @t16 @t9)) (not (= @t15 @t10)) (not (= @t15 @t9)) (not (= @t10 @t9)) (not (= @t8 @t7)) (not (= @t8 @t6)) (not (= @t8 @t1)) (not (= @t7 @t6)) (not (= @t7 @t1)) (not (= @t6 @t1)))) % 0.36/0.60 (assume @p11 (and (not (= tptp.e0 tptp.e1)) (not (= tptp.e0 tptp.e2)) (not (= tptp.e0 tptp.e3)) (not (= tptp.e1 tptp.e2)) (not (= tptp.e1 tptp.e3)) (not (= tptp.e2 tptp.e3)))) % 0.36/0.60 (assume @p12 @t65) % 0.36/0.60 (assume @p13 true) % 0.36/0.60 (step @p14 :rule symm :premises (@p5)) % 0.36/0.60 (step @p15 :rule and_elim :premises (@p3) :args (7)) % 0.36/0.60 (step @p16 :rule symm :premises (@p15)) % 0.36/0.60 (step @p17 :rule and_elim :premises (@p10) :args (2)) % 0.36/0.60 (step @p18 :rule symm :premises (@p17)) % 0.36/0.60 (step @p19 :rule refl :args (@t67)) % 0.36/0.60 (step @p20 :rule refl :args (@t69)) % 0.36/0.60 (step @p21 :rule bool-double-not-elim :args (@t70)) % 0.36/0.60 (step @p22 :rule refl :args (@t72)) % 0.36/0.60 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20 @p19) :args ((or @t72 (not @t73) @t69 @t67))) % 0.36/0.60 (assume-push @p182 @t71) % 0.36/0.60 (assume-push @p183 @t73) % 0.36/0.60 (assume-push @p184 @t68) % 0.36/0.60 (assume-push @p185 @t73) % 0.36/0.60 (assume-push @p186 (= tptp.e3 @t8)) % 0.36/0.60 (step @p29 :rule false_intro :premises (@p18)) % 0.36/0.60 (step @p30 :rule refl :args (@t28)) % 0.36/0.60 (step @p31 :rule refl :args (tptp.e3)) % 0.36/0.60 (step @p32 :rule cong :premises (@p31 @p5) :args (@t34)) % 0.36/0.60 (step @p33 :rule symm :premises (@p15)) % 0.36/0.60 (step @p34 :rule trans :premises (@p33 @p32)) % 0.36/0.60 (step @p35 :rule cong :premises (@p34 @p30) :args (@t66)) % 0.36/0.60 (step @p36 :rule trans :premises (@p35 @p29)) % 0.36/0.60 (step @p37 :rule false_elim :premises (@p36)) % 0.36/0.60 (step-pop @p187 :rule scope :premises (@p37)) % 0.36/0.60 (step-pop @p188 :rule scope :premises (@p187)) % 0.36/0.60 (step @p38 :rule process_scope :premises (@p188) :args (@t67)) % 0.36/0.60 (step @p31 :rule refl :args (tptp.e3)) % 0.36/0.60 (step @p32 :rule cong :premises (@p31 @p5) :args (@t34)) % 0.36/0.60 (step @p41 :rule trans :premises (@p16 @p32)) % 0.36/0.60 (step @p42 :rule and_intro :premises (@p18 @p41)) % 0.36/0.60 (step @p43 :rule modus_ponens :premises (@p42 @p38)) % 0.36/0.60 (step-pop @p189 :rule scope :premises (@p43)) % 0.36/0.60 (step-pop @p190 :rule scope :premises (@p189)) % 0.36/0.60 (step-pop @p191 :rule scope :premises (@p190)) % 0.36/0.60 (step @p44 :rule process_scope :premises (@p191) :args (@t67)) % 0.36/0.60 (step @p48 :rule implies_elim :premises (@p44)) % 0.36/0.60 (step @p49 :rule cnf_and_neg :args (@t74)) % 0.36/0.60 (step @p50 :rule resolution :premises (@p49 @p48) :args (true @t74)) % 0.36/0.60 (step @p51 :rule eq_resolve :premises (@p50 @p23)) % 0.36/0.60 (step @p52 :rule reordering :premises (@p51) :args ((or @t70 @t67 @t72 @t69))) % 0.36/0.60 (step @p53 :rule chain_m_resolution :premises (@p52 @p18 @p16 @p14) :args (@t67 @t75 (@list @t70 @t71 @t68))) % 0.36/0.60 (step @p54 :rule cnf_and_pos :args (@t76 0)) % 0.36/0.60 (step @p55 :rule reordering :premises (@p54) :args ((or @t66 @t77))) % 0.36/0.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p53) :args (@t77 @t78 (@list @t66))) % 0.36/0.60 (step @p57 :rule and_elim :premises (@p3) :args (5)) % 0.36/0.60 (step @p58 :rule symm :premises (@p57)) % 0.36/0.60 (step @p59 :rule and_elim :premises (@p10) :args (1)) % 0.36/0.60 (step @p60 :rule symm :premises (@p59)) % 0.36/0.60 (step @p61 :rule refl :args (@t80)) % 0.36/0.60 (step @p62 :rule bool-double-not-elim :args (@t81)) % 0.36/0.60 (step @p63 :rule refl :args (@t83)) % 0.36/0.60 (step @p64 :rule nary_cong :premises (@p63 @p62 @p20 @p61) :args ((or @t83 (not @t84) @t69 @t80))) % 0.36/0.60 (assume-push @p192 @t82) % 0.36/0.60 (assume-push @p193 @t84) % 0.36/0.60 (assume-push @p194 @t68) % 0.36/0.60 (assume-push @p195 @t84) % 0.36/0.60 (assume-push @p196 (= tptp.e2 @t16)) % 0.36/0.60 (step @p70 :rule false_intro :premises (@p60)) % 0.36/0.60 (step @p30 :rule refl :args (@t28)) % 0.36/0.60 (step @p71 :rule refl :args (tptp.e2)) % 0.36/0.60 (step @p72 :rule cong :premises (@p71 @p5) :args (@t35)) % 0.36/0.60 (step @p73 :rule symm :premises (@p57)) % 0.36/0.60 (step @p74 :rule trans :premises (@p73 @p72)) % 0.36/0.60 (step @p75 :rule cong :premises (@p74 @p30) :args (@t79)) % 0.36/0.60 (step @p76 :rule trans :premises (@p75 @p70)) % 0.36/0.60 (step @p77 :rule false_elim :premises (@p76)) % 0.36/0.60 (step-pop @p197 :rule scope :premises (@p77)) % 0.36/0.60 (step-pop @p198 :rule scope :premises (@p197)) % 0.36/0.60 (step @p78 :rule process_scope :premises (@p198) :args (@t80)) % 0.36/0.60 (step @p71 :rule refl :args (tptp.e2)) % 0.36/0.60 (step @p72 :rule cong :premises (@p71 @p5) :args (@t35)) % 0.36/0.60 (step @p81 :rule trans :premises (@p58 @p72)) % 0.36/0.60 (step @p82 :rule and_intro :premises (@p60 @p81)) % 0.36/0.60 (step @p83 :rule modus_ponens :premises (@p82 @p78)) % 0.36/0.60 (step-pop @p199 :rule scope :premises (@p83)) % 0.36/0.60 (step-pop @p200 :rule scope :premises (@p199)) % 0.36/0.60 (step-pop @p201 :rule scope :premises (@p200)) % 0.36/0.60 (step @p84 :rule process_scope :premises (@p201) :args (@t80)) % 0.36/0.60 (step @p88 :rule implies_elim :premises (@p84)) % 0.36/0.60 (step @p89 :rule cnf_and_neg :args (@t85)) % 0.36/0.60 (step @p90 :rule resolution :premises (@p89 @p88) :args (true @t85)) % 0.36/0.60 (step @p91 :rule eq_resolve :premises (@p90 @p64)) % 0.36/0.60 (step @p92 :rule reordering :premises (@p91) :args ((or @t81 @t80 @t83 @t69))) % 0.36/0.60 (step @p93 :rule chain_m_resolution :premises (@p92 @p60 @p58 @p14) :args (@t80 @t75 (@list @t81 @t82 @t68))) % 0.36/0.60 (step @p94 :rule cnf_and_pos :args (@t86 0)) % 0.36/0.60 (step @p95 :rule reordering :premises (@p94) :args ((or @t79 @t87))) % 0.36/0.60 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args (@t87 @t78 (@list @t79))) % 0.36/0.60 (step @p97 :rule and_elim :premises (@p3) :args (3)) % 0.36/0.60 (step @p98 :rule symm :premises (@p97)) % 0.36/0.60 (step @p99 :rule and_elim :premises (@p10) :args (0)) % 0.36/0.60 (step @p100 :rule symm :premises (@p99)) % 0.36/0.60 (step @p101 :rule refl :args (@t89)) % 0.36/0.60 (step @p102 :rule bool-double-not-elim :args (@t90)) % 0.36/0.60 (step @p103 :rule refl :args (@t92)) % 0.36/0.60 (step @p104 :rule nary_cong :premises (@p103 @p102 @p20 @p101) :args ((or @t92 (not @t93) @t69 @t89))) % 0.36/0.60 (assume-push @p202 @t91) % 0.36/0.60 (assume-push @p203 @t93) % 0.36/0.60 (assume-push @p204 @t68) % 0.36/0.60 (assume-push @p205 @t93) % 0.36/0.60 (assume-push @p206 (= tptp.e1 @t24)) % 0.36/0.60 (step @p110 :rule false_intro :premises (@p100)) % 0.36/0.60 (step @p30 :rule refl :args (@t28)) % 0.36/0.60 (step @p111 :rule refl :args (tptp.e1)) % 0.36/0.60 (step @p112 :rule cong :premises (@p111 @p5) :args (@t36)) % 0.36/0.60 (step @p113 :rule symm :premises (@p97)) % 0.36/0.60 (step @p114 :rule trans :premises (@p113 @p112)) % 0.36/0.60 (step @p115 :rule cong :premises (@p114 @p30) :args (@t88)) % 0.36/0.60 (step @p116 :rule trans :premises (@p115 @p110)) % 0.36/0.60 (step @p117 :rule false_elim :premises (@p116)) % 0.36/0.60 (step-pop @p207 :rule scope :premises (@p117)) % 0.36/0.60 (step-pop @p208 :rule scope :premises (@p207)) % 0.36/0.60 (step @p118 :rule process_scope :premises (@p208) :args (@t89)) % 0.36/0.60 (step @p111 :rule refl :args (tptp.e1)) % 0.36/0.60 (step @p112 :rule cong :premises (@p111 @p5) :args (@t36)) % 0.36/0.60 (step @p121 :rule trans :premises (@p98 @p112)) % 0.36/0.60 (step @p122 :rule and_intro :premises (@p100 @p121)) % 0.36/0.60 (step @p123 :rule modus_ponens :premises (@p122 @p118)) % 0.36/0.60 (step-pop @p209 :rule scope :premises (@p123)) % 0.36/0.60 (step-pop @p210 :rule scope :premises (@p209)) % 0.36/0.60 (step-pop @p211 :rule scope :premises (@p210)) % 0.36/0.60 (step @p124 :rule process_scope :premises (@p211) :args (@t89)) % 0.36/0.60 (step @p128 :rule implies_elim :premises (@p124)) % 0.36/0.60 (step @p129 :rule cnf_and_neg :args (@t94)) % 0.36/0.60 (step @p130 :rule resolution :premises (@p129 @p128) :args (true @t94)) % 0.36/0.60 (step @p131 :rule eq_resolve :premises (@p130 @p104)) % 0.36/0.60 (step @p132 :rule reordering :premises (@p131) :args ((or @t90 @t89 @t92 @t69))) % 0.36/0.60 (step @p133 :rule chain_m_resolution :premises (@p132 @p100 @p98 @p14) :args (@t89 @t75 (@list @t90 @t91 @t68))) % 0.36/0.60 (step @p134 :rule cnf_and_pos :args (@t95 0)) % 0.36/0.60 (step @p135 :rule reordering :premises (@p134) :args ((or @t88 @t96))) % 0.36/0.60 (step @p136 :rule chain_m_resolution :premises (@p135 @p133) :args (@t96 @t78 (@list @t88))) % 0.36/0.60 (step @p137 :rule eq-symm :args (@t1 tptp.e3)) % 0.36/0.60 (step @p138 :rule eq-symm :args (@t10 tptp.e3)) % 0.36/0.60 (step @p139 :rule eq-symm :args (@t19 tptp.e3)) % 0.36/0.60 (step @p140 :rule eq-symm :args (@t28 tptp.e3)) % 0.36/0.60 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138 @p137) :args (@t58)) % 0.36/0.60 (step @p142 :rule eq-symm :args (@t1 tptp.e2)) % 0.36/0.60 (step @p143 :rule eq-symm :args (@t10 tptp.e2)) % 0.36/0.60 (step @p144 :rule eq-symm :args (@t19 tptp.e2)) % 0.36/0.60 (step @p145 :rule eq-symm :args (@t28 tptp.e2)) % 0.36/0.60 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143 @p142) :args (@t59)) % 0.36/0.60 (step @p147 :rule eq-symm :args (@t1 tptp.e1)) % 0.36/0.60 (step @p148 :rule eq-symm :args (@t10 tptp.e1)) % 0.36/0.60 (step @p149 :rule eq-symm :args (@t19 tptp.e1)) % 0.36/0.60 (step @p150 :rule eq-symm :args (@t28 tptp.e1)) % 0.36/0.60 (step @p151 :rule nary_cong :premises (@p150 @p149 @p148 @p147) :args (@t60)) % 0.36/0.60 (step @p152 :rule eq-symm :args (@t1 tptp.e0)) % 0.36/0.60 (step @p153 :rule eq-symm :args (@t10 tptp.e0)) % 0.36/0.60 (step @p154 :rule eq-symm :args (@t19 tptp.e0)) % 0.36/0.60 (step @p155 :rule eq-symm :args (@t28 tptp.e0)) % 0.36/0.60 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153 @p152) :args (@t61)) % 0.36/0.60 (step @p157 :rule nary_cong :premises (@p156 @p151 @p146 @p141) :args (@t62)) % 0.36/0.60 (step @p158 :rule cong :premises (@p157) :args (@t63)) % 0.36/0.60 (step @p159 :rule nary_cong :premises (@p156 @p151 @p146 @p141 @p158) :args (@t64)) % 0.36/0.60 (step @p160 :rule cong :premises (@p159) :args (@t65)) % 0.36/0.60 (step @p161 :rule eq_resolve :premises (@p12 @p160)) % 0.36/0.60 (step @p162 :rule not_or_elim :premises (@p161) :args (4)) % 0.36/0.60 (step @p163 :rule not_not_elim :premises (@p162)) % 0.36/0.60 (step @p164 :rule chain_m_resolution :premises (@p163 @p136 @p96 @p56) :args (@t101 (@list true true true) (@list @t95 @t86 @t76))) % 0.36/0.60 (step @p165 :rule cnf_and_pos :args (@t101 3)) % 0.36/0.60 (step @p166 :rule reordering :premises (@p165) :args ((or @t97 @t102))) % 0.36/0.60 (step @p167 :rule chain_m_resolution :premises (@p166 @p164) :args (@t97 @t103 @t104)) % 0.36/0.60 (step @p168 :rule refl :args (tptp.e0)) % 0.36/0.60 (step @p169 :rule cong :premises (@p168 @p5) :args (@t37)) % 0.36/0.60 (step @p170 :rule and_elim :premises (@p3) :args (1)) % 0.36/0.60 (step @p171 :rule symm :premises (@p170)) % 0.36/0.60 (step @p172 :rule trans :premises (@p171 @p169)) % 0.36/0.60 (step @p173 :rule cnf_and_pos :args (@t101 1)) % 0.36/0.60 (step @p174 :rule reordering :premises (@p173) :args ((or @t99 @t102))) % 0.36/0.60 (step @p175 :rule chain_m_resolution :premises (@p174 @p164) :args (@t99 @t103 @t104)) % 0.36/0.60 (step @p176 :rule cnf_and_pos :args (@t101 2)) % 0.36/0.60 (step @p177 :rule reordering :premises (@p176) :args ((or @t98 @t102))) % 0.36/0.60 (step @p178 :rule chain_m_resolution :premises (@p177 @p164) :args (@t98 @t103 @t104)) % 0.36/0.60 (step @p179 :rule not_or_elim :premises (@p161) :args (0)) % 0.36/0.60 (step @p180 :rule not_and :premises (@p179)) % 0.36/0.60 (step @p181 false :rule chain_m_resolution :premises (@p180 @p178 @p175 @p172 @p167) :args (false (@list false false false false) (@list @t98 @t99 @t100 @t97))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------