0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qx1iPosBiL true 0.17/0.42 % Computer : n006.cluster.edu 0.17/0.42 % Model : x86_64 x86_64 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.42 % Memory : 8046.5625MB 0.17/0.42 % OS : Linux 6.8.0-71-generic 0.17/0.42 % CPULimit : 1440 0.17/0.42 % WCLimit : 180 0.17/0.42 % DateTime : Mon Jul 27 09:49:34 UTC 2026 0.17/0.43 % CPUTime : 0.17/0.43 % Running portfolio for 1440 s 0.17/0.43 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.43 % Number of cores: 8 0.17/0.43 % Python version: Python 3.12.3 0.17/0.44 % Running in FO mode 0.39/0.92 % Total configuration time : 435 0.39/0.92 % Estimated wc time : 1092 0.39/0.92 % Estimated cpu time (7 cpus) : 156.0 0.39/1.07 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s 0.39/1.11 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s 0.39/1.11 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s 1.72/1.17 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s 1.72/1.19 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s 1.96/1.25 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s 2.01/1.35 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s 300.90/51.11 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s 300.90/51.23 % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s 300.90/51.23 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s 378.00/64.04 % /export/starexec/sandbox2/solver/bin/fo/fo2.sh running for 38s 524.58/76.01 % /export/starexec/sandbox2/solver/bin/fo/fo14.sh running for 50s 524.58/76.10 % /export/starexec/sandbox2/solver/bin/fo/fo20.sh running for 50s 375.40/76.12 % /export/starexec/sandbox2/solver/bin/fo/fo19.sh running for 50s 699.30/101.06 % /export/starexec/sandbox2/solver/bin/fo/fo15.sh running for 50s 699.99/101.20 % /export/starexec/sandbox2/solver/bin/fo/fo9.sh running for 38s 650.69/101.21 % /export/starexec/sandbox2/solver/bin/fo/fo6_hlbe.sh running for 38s 702.83/101.54 % Solved by fo/fo20.sh. 702.83/101.54 % done 14844 iterations in 25.386s 702.83/101.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 702.83/101.54 % SZS output start Refutation 702.83/101.54 thf(x_type, type, x: $i). 702.83/101.54 thf(is_a_theorem_type, type, is_a_theorem: $i > $o). 702.83/101.54 thf(implies_type, type, implies: $i > $i > $i). 702.83/101.54 thf(y_type, type, y: $i). 702.83/101.54 thf(not_type, type, not: $i > $i). 702.83/101.54 thf(z_type, type, z: $i). 702.83/101.54 thf(u_type, type, u: $i). 702.83/101.54 thf(cn_1, axiom, 702.83/101.54 (![X:$i,Y:$i,Z:$i]: 702.83/101.54 ( is_a_theorem @ 702.83/101.54 ( implies @ 702.83/101.54 ( implies @ X @ Y ) @ 702.83/101.54 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) ))). 702.83/101.54 thf(zip_derived_cl1, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X0 @ X1) @ 702.83/101.54 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))), 702.83/101.54 inference('cnf', [status(esa)], [cn_1])). 702.83/101.54 thf(zip_derived_cl1, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X0 @ X1) @ 702.83/101.54 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))), 702.83/101.54 inference('cnf', [status(esa)], [cn_1])). 702.83/101.54 thf(condensed_detachment, axiom, 702.83/101.54 (![X:$i,Y:$i]: 702.83/101.54 ( ( ( is_a_theorem @ ( implies @ X @ Y ) ) & ( is_a_theorem @ X ) ) => 702.83/101.54 ( is_a_theorem @ Y ) ))). 702.83/101.54 thf(zip_derived_cl4, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (~ (is_a_theorem @ X0) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X0 @ X1)) 702.83/101.54 | (is_a_theorem @ X1))), 702.83/101.54 inference('cnf', [status(esa)], [condensed_detachment])). 702.83/101.54 thf(zip_derived_cl12, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl4, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (~ (is_a_theorem @ X0) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X0 @ X1)) 702.83/101.54 | (is_a_theorem @ X1))), 702.83/101.54 inference('cnf', [status(esa)], [condensed_detachment])). 702.83/101.54 thf(zip_derived_cl14, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl18, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (~ (is_a_theorem @ 702.83/101.54 (implies @ 702.83/101.54 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3)) 702.83/101.54 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl14])). 702.83/101.54 thf(zip_derived_cl12, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl296, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 ( (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X1 @ X3) @ 702.83/101.54 (implies @ X2 @ (implies @ X1 @ X0)))) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0))))), 702.83/101.54 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 702.83/101.54 thf(zip_derived_cl12, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])). 702.83/101.54 thf(prove_cn_23, conjecture, 702.83/101.54 (is_a_theorem @ 702.83/101.54 ( implies @ 702.83/101.54 ( implies @ ( implies @ x @ ( implies @ y @ z ) ) @ u ) @ 702.83/101.54 ( implies @ ( implies @ y @ ( implies @ x @ z ) ) @ u ) ))). 702.83/101.54 thf(zf_stmt_0, negated_conjecture, 702.83/101.54 (~( is_a_theorem @ 702.83/101.54 ( implies @ 702.83/101.54 ( implies @ ( implies @ x @ ( implies @ y @ z ) ) @ u ) @ 702.83/101.54 ( implies @ ( implies @ y @ ( implies @ x @ z ) ) @ u ) ) )), 702.83/101.54 inference('cnf.neg', [status(esa)], [prove_cn_23])). 702.83/101.54 thf(zip_derived_cl0, plain, 702.83/101.54 (~ (is_a_theorem @ 702.83/101.54 (implies @ (implies @ (implies @ x @ (implies @ y @ z)) @ u) @ 702.83/101.54 (implies @ (implies @ y @ (implies @ x @ z)) @ u)))), 702.83/101.54 inference('cnf', [status(esa)], [zf_stmt_0])). 702.83/101.54 thf(zip_derived_cl15, plain, 702.83/101.54 (~ (is_a_theorem @ 702.83/101.54 (implies @ (implies @ y @ (implies @ x @ z)) @ 702.83/101.54 (implies @ x @ (implies @ y @ z))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl0])). 702.83/101.54 thf(zip_derived_cl5845, plain, 702.83/101.54 (~ (is_a_theorem @ (implies @ x @ (implies @ (implies @ x @ z) @ z)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl296, zip_derived_cl15])). 702.83/101.54 thf(cn_2, axiom, 702.83/101.54 (![X:$i]: 702.83/101.54 ( is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ) ))). 702.83/101.54 thf(zip_derived_cl2, plain, 702.83/101.54 (![X0 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))), 702.83/101.54 inference('cnf', [status(esa)], [cn_2])). 702.83/101.54 thf(zip_derived_cl2, plain, 702.83/101.54 (![X0 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))), 702.83/101.54 inference('cnf', [status(esa)], [cn_2])). 702.83/101.54 thf(zip_derived_cl2, plain, 702.83/101.54 (![X0 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))), 702.83/101.54 inference('cnf', [status(esa)], [cn_2])). 702.83/101.54 thf(cn_3, axiom, 702.83/101.54 (![X:$i,Y:$i]: 702.83/101.54 ( is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ) ))). 702.83/101.54 thf(zip_derived_cl3, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))), 702.83/101.54 inference('cnf', [status(esa)], [cn_3])). 702.83/101.54 thf(zip_derived_cl4, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (~ (is_a_theorem @ X0) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X0 @ X1)) 702.83/101.54 | (is_a_theorem @ X1))), 702.83/101.54 inference('cnf', [status(esa)], [condensed_detachment])). 702.83/101.54 thf(zip_derived_cl7, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl3, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))), 702.83/101.54 inference('cnf', [status(esa)], [cn_3])). 702.83/101.54 thf(zip_derived_cl14, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl16, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X2)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl14])). 702.83/101.54 thf(zip_derived_cl12, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl26, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 ( (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X1 @ (not @ X2))))), 702.83/101.54 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl12])). 702.83/101.54 thf(zip_derived_cl36, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ X1) 702.83/101.54 | (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X1) @ X2))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl26])). 702.83/101.54 thf(zip_derived_cl14, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl39, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (~ (is_a_theorem @ X1) 702.83/101.54 | ~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X3)) 702.83/101.54 | (is_a_theorem @ (implies @ X2 @ X3)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl14])). 702.83/101.54 thf(zip_derived_cl46, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl39])). 702.83/101.54 thf(zip_derived_cl2, plain, 702.83/101.54 (![X0 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))), 702.83/101.54 inference('cnf', [status(esa)], [cn_2])). 702.83/101.54 thf(zip_derived_cl12, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl14, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl19, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X3)) 702.83/101.54 | (is_a_theorem @ (implies @ (implies @ X2 @ X0) @ X3)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl14])). 702.83/101.54 thf(zip_derived_cl394, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ (not @ X0) @ X1)) 702.83/101.54 | (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl19])). 702.83/101.54 thf(zip_derived_cl406, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (~ (is_a_theorem @ X0) 702.83/101.54 | (is_a_theorem @ (implies @ (implies @ X0 @ X1) @ X1)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl394])). 702.83/101.54 thf(zip_derived_cl18, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (~ (is_a_theorem @ 702.83/101.54 (implies @ 702.83/101.54 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3)) 702.83/101.54 | (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X3)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl14])). 702.83/101.54 thf(zip_derived_cl424, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl406, zip_derived_cl18])). 702.83/101.54 thf(zip_derived_cl16, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X2)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl14])). 702.83/101.54 thf(zip_derived_cl1, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X0 @ X1) @ 702.83/101.54 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))), 702.83/101.54 inference('cnf', [status(esa)], [cn_1])). 702.83/101.54 thf(zip_derived_cl25, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (is_a_theorem @ 702.83/101.54 (implies @ X1 @ 702.83/101.54 (implies @ (implies @ X2 @ X0) @ (implies @ (not @ X1) @ X0))))), 702.83/101.54 inference('s_sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl1])). 702.83/101.54 thf(zip_derived_cl296, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 ( (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X1 @ X3) @ 702.83/101.54 (implies @ X2 @ (implies @ X1 @ X0)))) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0))))), 702.83/101.54 inference('s_sup+', [status(thm)], [zip_derived_cl18, zip_derived_cl12])). 702.83/101.54 thf(zip_derived_cl2, plain, 702.83/101.54 (![X0 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))), 702.83/101.54 inference('cnf', [status(esa)], [cn_2])). 702.83/101.54 thf(zip_derived_cl3, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))), 702.83/101.54 inference('cnf', [status(esa)], [cn_3])). 702.83/101.54 thf(zip_derived_cl12, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl46, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl39])). 702.83/101.54 thf(zip_derived_cl14, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl51, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ X0) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X0 @ X2)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X2)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl14])). 702.83/101.54 thf(zip_derived_cl71, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl51])). 702.83/101.54 thf(zip_derived_cl103, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2)) 702.83/101.54 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X2))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl71])). 702.83/101.54 thf(zip_derived_cl174, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl103])). 702.83/101.54 thf(zip_derived_cl103, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X0) @ X2)) 702.83/101.54 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X2))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl71])). 702.83/101.54 thf(zip_derived_cl183, plain, 702.83/101.54 (![X0 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ X3 @ (implies @ X2 @ (implies @ X0 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl174, zip_derived_cl103])). 702.83/101.54 thf(zip_derived_cl2, plain, 702.83/101.54 (![X0 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))), 702.83/101.54 inference('cnf', [status(esa)], [cn_2])). 702.83/101.54 thf(zip_derived_cl14, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl17, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X0 @ X1)) 702.83/101.54 | (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X1)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl14])). 702.83/101.54 thf(zip_derived_cl4, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (~ (is_a_theorem @ X0) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X0 @ X1)) 702.83/101.54 | (is_a_theorem @ X1))), 702.83/101.54 inference('cnf', [status(esa)], [condensed_detachment])). 702.83/101.54 thf(zip_derived_cl192, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X0)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ (not @ X1) @ X1)) 702.83/101.54 | (is_a_theorem @ X0))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl322, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X1 @ (implies @ X0 @ X0)) @ X2)) 702.83/101.54 | (is_a_theorem @ X2))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl192])). 702.83/101.54 thf(zip_derived_cl5834, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (~ (is_a_theorem @ 702.83/101.54 (implies @ X2 @ (implies @ (implies @ X3 @ X3) @ X0))) 702.83/101.54 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl296, zip_derived_cl322])). 702.83/101.54 thf(zip_derived_cl6246, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (is_a_theorem @ 702.83/101.54 (implies @ X1 @ (implies @ X2 @ (implies @ (not @ X1) @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl5834])). 702.83/101.54 thf(zip_derived_cl14, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl6525, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (~ (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X2 @ (implies @ (not @ X1) @ X0)) @ X3)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X3)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl6246, zip_derived_cl14])). 702.83/101.54 thf(zip_derived_cl9846, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ (implies @ (not @ X3) @ X2) @ X0)) 702.83/101.54 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], 702.83/101.54 [zip_derived_cl424, zip_derived_cl6525])). 702.83/101.54 thf(zip_derived_cl10114, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl9846])). 702.83/101.54 thf(zip_derived_cl14, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl10146, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X0) @ X2)) 702.83/101.54 | (is_a_theorem @ (implies @ X0 @ X2)))), 702.83/101.54 inference('s_sup-', [status(thm)], 702.83/101.54 [zip_derived_cl10114, zip_derived_cl14])). 702.83/101.54 thf(zip_derived_cl1, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X0 @ X1) @ 702.83/101.54 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))), 702.83/101.54 inference('cnf', [status(esa)], [cn_1])). 702.83/101.54 thf(zip_derived_cl10467, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (is_a_theorem @ 702.83/101.54 (implies @ X2 @ 702.83/101.54 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup+', [status(thm)], [zip_derived_cl10146, zip_derived_cl1])). 702.83/101.54 thf(zip_derived_cl14, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X1 @ X2)) 702.83/101.54 | ~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ (implies @ X1 @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl4])). 702.83/101.54 thf(zip_derived_cl44608, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 (~ (is_a_theorem @ 702.83/101.54 (implies @ 702.83/101.54 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @ X3)) 702.83/101.54 | (is_a_theorem @ (implies @ X2 @ X3)))), 702.83/101.54 inference('s_sup-', [status(thm)], 702.83/101.54 [zip_derived_cl10467, zip_derived_cl14])). 702.83/101.54 thf(zip_derived_cl424, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i]: 702.83/101.54 (~ (is_a_theorem @ (implies @ X2 @ X0)) 702.83/101.54 | (is_a_theorem @ 702.83/101.54 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl406, zip_derived_cl18])). 702.83/101.54 thf(zip_derived_cl44906, plain, 702.83/101.54 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]: 702.83/101.54 ( (is_a_theorem @ 702.83/101.54 (implies @ X2 @ (implies @ (implies @ X2 @ X1) @ X0))) 702.83/101.54 | ~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0)))), 702.83/101.54 inference('s_sup+', [status(thm)], 702.83/101.54 [zip_derived_cl44608, zip_derived_cl424])). 702.83/101.54 thf(zip_derived_cl45120, plain, 702.83/101.54 (![X0 : $i, X1 : $i]: 702.83/101.54 (is_a_theorem @ (implies @ X1 @ (implies @ (implies @ X1 @ X0) @ X0)))), 702.83/101.54 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl44906])). 702.83/101.54 thf(zip_derived_cl45339, plain, ($false), 702.83/101.54 inference('demod', [status(thm)], 702.83/101.54 [zip_derived_cl5845, zip_derived_cl45120])). 702.83/101.54 702.83/101.54 % SZS output end Refutation 702.83/101.54 702.83/101.54 702.83/101.54 % Terminating... 702.83/101.54 % /export/starexec/sandbox2/solver/bin/fo/fo10.sh running for 38s 702.83/101.59 % Runner terminated. 614.00/101.62 % Zipperpin 1.5 exiting 614.00/101.62 EOF