0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nmEPP81C2T true 0.16/0.43 % Computer : n010.cluster.edu 0.16/0.43 % Model : x86_64 x86_64 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.43 % Memory : 8046.5625MB 0.16/0.43 % OS : Linux 6.8.0-71-generic 0.16/0.43 % CPULimit : 1440 0.16/0.43 % WCLimit : 180 0.16/0.43 % DateTime : Mon Jul 27 09:24:04 UTC 2026 0.16/0.44 % CPUTime : 0.16/0.44 % Running portfolio for 1440 s 0.16/0.44 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.44 % Number of cores: 8 0.16/0.44 % Python version: Python 3.12.3 0.16/0.45 % Running in FO mode 0.37/0.82 % Total configuration time : 435 0.37/0.82 % Estimated wc time : 1092 0.37/0.82 % Estimated cpu time (7 cpus) : 156.0 0.38/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s 0.38/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s 0.38/1.01 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s 0.38/1.02 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s 0.38/1.02 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s 0.38/1.02 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s 0.38/1.02 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s 301.09/50.91 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s 301.09/50.93 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s 301.09/51.05 % /export/starexec/sandbox2/solver/bin/fo/fo8.sh running for 50s 378.99/63.97 % /export/starexec/sandbox2/solver/bin/fo/fo2.sh running for 38s 525.57/76.05 % /export/starexec/sandbox2/solver/bin/fo/fo14.sh running for 50s 301.65/76.08 % /export/starexec/sandbox2/solver/bin/fo/fo20.sh running for 50s 301.65/76.10 % /export/starexec/sandbox2/solver/bin/fo/fo19.sh running for 50s 650.59/100.94 % /export/starexec/sandbox2/solver/bin/fo/fo15.sh running for 50s 650.59/100.94 % /export/starexec/sandbox2/solver/bin/fo/fo9.sh running for 38s 650.59/100.99 % /export/starexec/sandbox2/solver/bin/fo/fo6_hlbe.sh running for 38s 707.15/101.97 % /export/starexec/sandbox2/solver/bin/fo/fo10.sh running for 38s 874.98/125.96 % /export/starexec/sandbox2/solver/bin/fo/fo1_bce.sh running for 38s 826.53/126.12 % /export/starexec/sandbox2/solver/bin/fo/fo12.sh running for 38s 826.53/126.15 % /export/starexec/sandbox2/solver/bin/fo/fo17_hlbe.sh running for 38s 923.80/132.97 % Solved by fo/fo12.sh. 923.80/132.97 % done 2826 iterations in 6.802s 923.80/132.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 923.80/132.97 % SZS output start Refutation 923.80/132.97 thf(cons_type, type, cons: $i > $i > $i). 923.80/132.97 thf(proj12_type, type, proj12: $i > $i). 923.80/132.97 thf(assoc_type, type, assoc: $i > $i). 923.80/132.97 thf(proj2_type, type, proj2: $i > $i). 923.80/132.97 thf(eY_type, type, eY: $i). 923.80/132.97 thf(nil_type, type, nil: $i). 923.80/132.97 thf(x2_type, type, x2: $i > $i > $i). 923.80/132.97 thf(proj1_type, type, proj1: $i > $i). 923.80/132.97 thf(append_type, type, append: $i > $i > $i). 923.80/132.97 thf(eX_type, type, eX: $i). 923.80/132.97 thf(proj22_type, type, proj22: $i > $i). 923.80/132.97 thf(lin_type, type, lin: $i > $i). 923.80/132.97 thf(z_type, type, z: $i > $i > $i). 923.80/132.97 thf(mul_type, type, mul: $i). 923.80/132.97 thf(y_type, type, y: $i). 923.80/132.97 thf(axiom_029, axiom, 923.80/132.97 (![X:$i]: 923.80/132.97 ( ( ( z @ ( proj1 @ X ) @ ( proj2 @ X ) ) != ( X ) ) => 923.80/132.97 ( ( ( X ) != ( x2 @ ( proj12 @ X ) @ ( proj22 @ X ) ) ) => 923.80/132.97 ( ( assoc @ X ) = ( X ) ) ) ))). 923.80/132.97 thf(zip_derived_cl27, plain, 923.80/132.97 (![X0 : $i]: 923.80/132.97 (((X0) = (x2 @ (proj12 @ X0) @ (proj22 @ X0))) 923.80/132.97 | ((assoc @ X0) = (X0)) 923.80/132.97 | ((z @ (proj1 @ X0) @ (proj2 @ X0)) = (X0)))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_029])). 923.80/132.97 thf(axiom_027, axiom, (![X:$i,X2:$i]: ( ( eY ) != ( x2 @ X @ X2 ) ))). 923.80/132.97 thf(zip_derived_cl34, plain, (![X0 : $i, X1 : $i]: ((eY) != (x2 @ X0 @ X1))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_027])). 923.80/132.97 thf(zip_derived_cl113, plain, 923.80/132.97 (![X0 : $i]: 923.80/132.97 (((eY) != (X0)) 923.80/132.97 | ((z @ (proj1 @ X0) @ (proj2 @ X0)) = (X0)) 923.80/132.97 | ((assoc @ X0) = (X0)))), 923.80/132.97 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl34])). 923.80/132.97 thf(zip_derived_cl1104, plain, 923.80/132.97 ((((assoc @ eY) = (eY)) | ((z @ (proj1 @ eY) @ (proj2 @ eY)) = (eY)))), 923.80/132.97 inference('eq_res', [status(thm)], [zip_derived_cl113])). 923.80/132.97 thf(axiom_025, axiom, (![X:$i,X2:$i]: ( ( z @ X @ X2 ) != ( eY ) ))). 923.80/132.97 thf(zip_derived_cl1, plain, (![X0 : $i, X1 : $i]: ((z @ X0 @ X1) != (eY))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_025])). 923.80/132.97 thf(zip_derived_cl1105, plain, (((assoc @ eY) = (eY))), 923.80/132.97 inference('simplify_reflect-', [status(thm)], 923.80/132.97 [zip_derived_cl1104, zip_derived_cl1])). 923.80/132.97 thf(zip_derived_cl27, plain, 923.80/132.97 (![X0 : $i]: 923.80/132.97 (((X0) = (x2 @ (proj12 @ X0) @ (proj22 @ X0))) 923.80/132.97 | ((assoc @ X0) = (X0)) 923.80/132.97 | ((z @ (proj1 @ X0) @ (proj2 @ X0)) = (X0)))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_029])). 923.80/132.97 thf(axiom_026, axiom, (![X:$i,X2:$i]: ( ( x2 @ X @ X2 ) != ( eX ) ))). 923.80/132.97 thf(zip_derived_cl14, plain, (![X0 : $i, X1 : $i]: ((x2 @ X0 @ X1) != (eX))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_026])). 923.80/132.97 thf(zip_derived_cl112, plain, 923.80/132.97 (![X0 : $i]: 923.80/132.97 (((X0) != (eX)) 923.80/132.97 | ((z @ (proj1 @ X0) @ (proj2 @ X0)) = (X0)) 923.80/132.97 | ((assoc @ X0) = (X0)))), 923.80/132.97 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl14])). 923.80/132.97 thf(zip_derived_cl935, plain, 923.80/132.97 ((((assoc @ eX) = (eX)) | ((z @ (proj1 @ eX) @ (proj2 @ eX)) = (eX)))), 923.80/132.97 inference('eq_res', [status(thm)], [zip_derived_cl112])). 923.80/132.97 thf(axiom_024, axiom, (![X:$i,X2:$i]: ( ( eX ) != ( z @ X @ X2 ) ))). 923.80/132.97 thf(zip_derived_cl6, plain, (![X0 : $i, X1 : $i]: ((eX) != (z @ X0 @ X1))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_024])). 923.80/132.97 thf(zip_derived_cl936, plain, (((assoc @ eX) = (eX))), 923.80/132.97 inference('simplify_reflect-', [status(thm)], 923.80/132.97 [zip_derived_cl935, zip_derived_cl6])). 923.80/132.97 thf(axiom_032, axiom, 923.80/132.97 (![A2:$i,B2:$i]: 923.80/132.97 ( ( assoc @ ( x2 @ A2 @ B2 ) ) = ( x2 @ ( assoc @ A2 ) @ ( assoc @ B2 ) ) ))). 923.80/132.97 thf(zip_derived_cl17, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((assoc @ (x2 @ X0 @ X1)) = (x2 @ (assoc @ X0) @ (assoc @ X1)))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_032])). 923.80/132.97 thf(zip_derived_cl975, plain, 923.80/132.97 (![X0 : $i]: ((assoc @ (x2 @ X0 @ eX)) = (x2 @ (assoc @ X0) @ eX))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl936, zip_derived_cl17])). 923.80/132.97 thf(zip_derived_cl1744, plain, (((assoc @ (x2 @ eY @ eX)) = (x2 @ eY @ eX))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl1105, zip_derived_cl975])). 923.80/132.97 thf(zip_derived_cl1105, plain, (((assoc @ eY) = (eY))), 923.80/132.97 inference('simplify_reflect-', [status(thm)], 923.80/132.97 [zip_derived_cl1104, zip_derived_cl1])). 923.80/132.97 thf(zip_derived_cl17, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((assoc @ (x2 @ X0 @ X1)) = (x2 @ (assoc @ X0) @ (assoc @ X1)))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_032])). 923.80/132.97 thf(zip_derived_cl1108, plain, 923.80/132.97 (![X0 : $i]: ((assoc @ (x2 @ eY @ X0)) = (x2 @ eY @ (assoc @ X0)))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl1105, zip_derived_cl17])). 923.80/132.97 thf(zip_derived_cl2364, plain, 923.80/132.97 (((assoc @ (x2 @ eY @ (x2 @ eY @ eX))) = (x2 @ eY @ (x2 @ eY @ eX)))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl1744, zip_derived_cl1108])). 923.80/132.97 thf(zip_derived_cl17, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((assoc @ (x2 @ X0 @ X1)) = (x2 @ (assoc @ X0) @ (assoc @ X1)))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_032])). 923.80/132.97 thf(axiom_038, axiom, 923.80/132.97 (![A3:$i,B2:$i]: 923.80/132.97 ( ( lin @ ( x2 @ A3 @ B2 ) ) = 923.80/132.97 ( append @ 923.80/132.97 ( lin @ A3 ) @ ( append @ ( cons @ mul @ nil ) @ ( lin @ B2 ) ) ) ))). 923.80/132.97 thf(zip_derived_cl22, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((lin @ (x2 @ X0 @ X1)) 923.80/132.97 = (append @ (lin @ X0) @ (append @ (cons @ mul @ nil) @ (lin @ X1))))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_038])). 923.80/132.97 thf(axiom_034, axiom, 923.80/132.97 (![Y:$i,Z:$i,Xs:$i]: 923.80/132.97 ( ( append @ ( cons @ Z @ Xs ) @ Y ) = ( cons @ Z @ ( append @ Xs @ Y ) ) ))). 923.80/132.97 thf(zip_derived_cl35, plain, 923.80/132.97 (![X0 : $i, X1 : $i, X2 : $i]: 923.80/132.97 ((append @ (cons @ X0 @ X1) @ X2) = (cons @ X0 @ (append @ X1 @ X2)))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_034])). 923.80/132.97 thf(axiom_033, axiom, (![Y:$i]: ( ( Y ) = ( append @ nil @ Y ) ))). 923.80/132.97 thf(zip_derived_cl33, plain, (![X0 : $i]: ((X0) = (append @ nil @ X0))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_033])). 923.80/132.97 thf(zip_derived_cl75, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((lin @ (x2 @ X0 @ X1)) 923.80/132.97 = (append @ (lin @ X0) @ (cons @ mul @ (lin @ X1))))), 923.80/132.97 inference('demod', [status(thm)], 923.80/132.97 [zip_derived_cl22, zip_derived_cl35, zip_derived_cl33])). 923.80/132.97 thf(zip_derived_cl75, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((lin @ (x2 @ X0 @ X1)) 923.80/132.97 = (append @ (lin @ X0) @ (cons @ mul @ (lin @ X1))))), 923.80/132.97 inference('demod', [status(thm)], 923.80/132.97 [zip_derived_cl22, zip_derived_cl35, zip_derived_cl33])). 923.80/132.97 thf(axiom_040, axiom, (( lin @ eY ) = ( cons @ y @ nil ))). 923.80/132.97 thf(zip_derived_cl3, plain, (((lin @ eY) = (cons @ y @ nil))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_040])). 923.80/132.97 thf(zip_derived_cl35, plain, 923.80/132.97 (![X0 : $i, X1 : $i, X2 : $i]: 923.80/132.97 ((append @ (cons @ X0 @ X1) @ X2) = (cons @ X0 @ (append @ X1 @ X2)))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_034])). 923.80/132.97 thf(zip_derived_cl68, plain, 923.80/132.97 (![X0 : $i]: 923.80/132.97 ((append @ (lin @ eY) @ X0) = (cons @ y @ (append @ nil @ X0)))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl35])). 923.80/132.97 thf(zip_derived_cl33, plain, (![X0 : $i]: ((X0) = (append @ nil @ X0))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_033])). 923.80/132.97 thf(zip_derived_cl70, plain, 923.80/132.97 (![X0 : $i]: ((append @ (lin @ eY) @ X0) = (cons @ y @ X0))), 923.80/132.97 inference('demod', [status(thm)], [zip_derived_cl68, zip_derived_cl33])). 923.80/132.97 thf(zip_derived_cl76, plain, 923.80/132.97 (![X0 : $i]: 923.80/132.97 ((lin @ (x2 @ eY @ X0)) = (cons @ y @ (cons @ mul @ (lin @ X0))))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl70])). 923.80/132.97 thf(zip_derived_cl35, plain, 923.80/132.97 (![X0 : $i, X1 : $i, X2 : $i]: 923.80/132.97 ((append @ (cons @ X0 @ X1) @ X2) = (cons @ X0 @ (append @ X1 @ X2)))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_034])). 923.80/132.97 thf(zip_derived_cl189, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((append @ (lin @ (x2 @ eY @ X0)) @ X1) 923.80/132.97 = (cons @ y @ (append @ (cons @ mul @ (lin @ X0)) @ X1)))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl35])). 923.80/132.97 thf(zip_derived_cl35, plain, 923.80/132.97 (![X0 : $i, X1 : $i, X2 : $i]: 923.80/132.97 ((append @ (cons @ X0 @ X1) @ X2) = (cons @ X0 @ (append @ X1 @ X2)))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_034])). 923.80/132.97 thf(zip_derived_cl190, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((append @ (lin @ (x2 @ eY @ X0)) @ X1) 923.80/132.97 = (cons @ y @ (cons @ mul @ (append @ (lin @ X0) @ X1))))), 923.80/132.97 inference('demod', [status(thm)], [zip_derived_cl189, zip_derived_cl35])). 923.80/132.97 thf(zip_derived_cl8309, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((append @ (lin @ (x2 @ eY @ X1)) @ (cons @ mul @ (lin @ X0))) 923.80/132.97 = (cons @ y @ (cons @ mul @ (lin @ (x2 @ X1 @ X0)))))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl190])). 923.80/132.97 thf(zip_derived_cl75, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((lin @ (x2 @ X0 @ X1)) 923.80/132.97 = (append @ (lin @ X0) @ (cons @ mul @ (lin @ X1))))), 923.80/132.97 inference('demod', [status(thm)], 923.80/132.97 [zip_derived_cl22, zip_derived_cl35, zip_derived_cl33])). 923.80/132.97 thf(zip_derived_cl76, plain, 923.80/132.97 (![X0 : $i]: 923.80/132.97 ((lin @ (x2 @ eY @ X0)) = (cons @ y @ (cons @ mul @ (lin @ X0))))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl75, zip_derived_cl70])). 923.80/132.97 thf(zip_derived_cl8321, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((lin @ (x2 @ (x2 @ eY @ X1) @ X0)) 923.80/132.97 = (lin @ (x2 @ eY @ (x2 @ X1 @ X0))))), 923.80/132.97 inference('demod', [status(thm)], 923.80/132.97 [zip_derived_cl8309, zip_derived_cl75, zip_derived_cl76])). 923.80/132.97 thf(goal_041, conjecture, 923.80/132.97 (?[U:$i,V:$i]: 923.80/132.97 ( ~( ( ( lin @ U ) = ( lin @ V ) ) => ( ( assoc @ V ) = ( assoc @ U ) ) ) ))). 923.80/132.97 thf(zf_stmt_0, negated_conjecture, 923.80/132.97 (~( ?[U:$i,V:$i]: 923.80/132.97 ( ~( ( ( lin @ U ) = ( lin @ V ) ) => ( ( assoc @ V ) = ( assoc @ U ) ) ) ) )), 923.80/132.97 inference('cnf.neg', [status(esa)], [goal_041])). 923.80/132.97 thf(zip_derived_cl10, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 (((assoc @ X1) = (assoc @ X0)) | ((lin @ X0) != (lin @ X1)))), 923.80/132.97 inference('cnf', [status(esa)], [zf_stmt_0])). 923.80/132.97 thf(zip_derived_cl37372, plain, 923.80/132.97 (![X0 : $i, X1 : $i, X2 : $i]: 923.80/132.97 (((lin @ X2) != (lin @ (x2 @ eY @ (x2 @ X1 @ X0)))) 923.80/132.97 | ((assoc @ (x2 @ (x2 @ eY @ X1) @ X0)) = (assoc @ X2)))), 923.80/132.97 inference('sup-', [status(thm)], [zip_derived_cl8321, zip_derived_cl10])). 923.80/132.97 thf(zip_derived_cl37392, plain, 923.80/132.97 (![X0 : $i, X1 : $i, X2 : $i]: 923.80/132.97 (((lin @ X2) != (lin @ (x2 @ eY @ (assoc @ (x2 @ X1 @ X0))))) 923.80/132.97 | ((assoc @ (x2 @ (x2 @ eY @ (assoc @ X1)) @ (assoc @ X0))) 923.80/132.97 = (assoc @ X2)))), 923.80/132.97 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl37372])). 923.80/132.97 thf(zip_derived_cl1108, plain, 923.80/132.97 (![X0 : $i]: ((assoc @ (x2 @ eY @ X0)) = (x2 @ eY @ (assoc @ X0)))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl1105, zip_derived_cl17])). 923.80/132.97 thf(zip_derived_cl1108, plain, 923.80/132.97 (![X0 : $i]: ((assoc @ (x2 @ eY @ X0)) = (x2 @ eY @ (assoc @ X0)))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl1105, zip_derived_cl17])). 923.80/132.97 thf(zip_derived_cl17, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: 923.80/132.97 ((assoc @ (x2 @ X0 @ X1)) = (x2 @ (assoc @ X0) @ (assoc @ X1)))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_032])). 923.80/132.97 thf(zip_derived_cl37416, plain, 923.80/132.97 (![X0 : $i, X1 : $i, X2 : $i]: 923.80/132.97 (((lin @ X2) != (lin @ (assoc @ (x2 @ eY @ (x2 @ X1 @ X0))))) 923.80/132.97 | ((assoc @ (assoc @ (x2 @ (x2 @ eY @ X1) @ X0))) = (assoc @ X2)))), 923.80/132.97 inference('demod', [status(thm)], 923.80/132.97 [zip_derived_cl37392, zip_derived_cl1108, zip_derived_cl1108, 923.80/132.97 zip_derived_cl17])). 923.80/132.97 thf(zip_derived_cl37762, plain, 923.80/132.97 (![X0 : $i]: 923.80/132.97 (((lin @ X0) != (lin @ (x2 @ eY @ (x2 @ eY @ eX)))) 923.80/132.97 | ((assoc @ (assoc @ (x2 @ (x2 @ eY @ eY) @ eX))) = (assoc @ X0)))), 923.80/132.97 inference('sup-', [status(thm)], 923.80/132.97 [zip_derived_cl2364, zip_derived_cl37416])). 923.80/132.97 thf(zip_derived_cl1105, plain, (((assoc @ eY) = (eY))), 923.80/132.97 inference('simplify_reflect-', [status(thm)], 923.80/132.97 [zip_derived_cl1104, zip_derived_cl1])). 923.80/132.97 thf(zip_derived_cl1108, plain, 923.80/132.97 (![X0 : $i]: ((assoc @ (x2 @ eY @ X0)) = (x2 @ eY @ (assoc @ X0)))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl1105, zip_derived_cl17])). 923.80/132.97 thf(zip_derived_cl2360, plain, (((assoc @ (x2 @ eY @ eY)) = (x2 @ eY @ eY))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl1105, zip_derived_cl1108])). 923.80/132.97 thf(zip_derived_cl975, plain, 923.80/132.97 (![X0 : $i]: ((assoc @ (x2 @ X0 @ eX)) = (x2 @ (assoc @ X0) @ eX))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl936, zip_derived_cl17])). 923.80/132.97 thf(zip_derived_cl2436, plain, 923.80/132.97 (((assoc @ (x2 @ (x2 @ eY @ eY) @ eX)) = (x2 @ (x2 @ eY @ eY) @ eX))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl2360, zip_derived_cl975])). 923.80/132.97 thf(zip_derived_cl2436, plain, 923.80/132.97 (((assoc @ (x2 @ (x2 @ eY @ eY) @ eX)) = (x2 @ (x2 @ eY @ eY) @ eX))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl2360, zip_derived_cl975])). 923.80/132.97 thf(zip_derived_cl37792, plain, 923.80/132.97 (![X0 : $i]: 923.80/132.97 (((lin @ X0) != (lin @ (x2 @ eY @ (x2 @ eY @ eX)))) 923.80/132.97 | ((x2 @ (x2 @ eY @ eY) @ eX) = (assoc @ X0)))), 923.80/132.97 inference('demod', [status(thm)], 923.80/132.97 [zip_derived_cl37762, zip_derived_cl2436, zip_derived_cl2436])). 923.80/132.97 thf(zip_derived_cl37819, plain, 923.80/132.97 (((x2 @ (x2 @ eY @ eY) @ eX) = (assoc @ (x2 @ eY @ (x2 @ eY @ eX))))), 923.80/132.97 inference('eq_res', [status(thm)], [zip_derived_cl37792])). 923.80/132.97 thf(zip_derived_cl2364, plain, 923.80/132.97 (((assoc @ (x2 @ eY @ (x2 @ eY @ eX))) = (x2 @ eY @ (x2 @ eY @ eX)))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl1744, zip_derived_cl1108])). 923.80/132.97 thf(zip_derived_cl37820, plain, 923.80/132.97 (((x2 @ (x2 @ eY @ eY) @ eX) = (x2 @ eY @ (x2 @ eY @ eX)))), 923.80/132.97 inference('demod', [status(thm)], 923.80/132.97 [zip_derived_cl37819, zip_derived_cl2364])). 923.80/132.97 thf(axiom_021, axiom, 923.80/132.97 (![X:$i,X2:$i]: ( ( proj12 @ ( x2 @ X @ X2 ) ) = ( X ) ))). 923.80/132.97 thf(zip_derived_cl36, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: ((proj12 @ (x2 @ X0 @ X1)) = (X0))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_021])). 923.80/132.97 thf(zip_derived_cl37932, plain, 923.80/132.97 (((proj12 @ (x2 @ eY @ (x2 @ eY @ eX))) = (x2 @ eY @ eY))), 923.80/132.97 inference('sup+', [status(thm)], [zip_derived_cl37820, zip_derived_cl36])). 923.80/132.97 thf(zip_derived_cl36, plain, 923.80/132.97 (![X0 : $i, X1 : $i]: ((proj12 @ (x2 @ X0 @ X1)) = (X0))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_021])). 923.80/132.97 thf(zip_derived_cl38044, plain, (((eY) = (x2 @ eY @ eY))), 923.80/132.97 inference('demod', [status(thm)], [zip_derived_cl37932, zip_derived_cl36])). 923.80/132.97 thf(zip_derived_cl34, plain, (![X0 : $i, X1 : $i]: ((eY) != (x2 @ X0 @ X1))), 923.80/132.97 inference('cnf', [status(esa)], [axiom_027])). 923.80/132.97 thf(zip_derived_cl38045, plain, ($false), 923.80/132.97 inference('simplify_reflect-', [status(thm)], 923.80/132.97 [zip_derived_cl38044, zip_derived_cl34])). 923.80/132.97 923.80/132.97 % SZS output end Refutation 923.80/132.97 923.80/132.98 923.80/132.98 % Terminating... 783.97/133.03 % Runner terminated. 783.97/133.05 % Zipperpin 1.5 exiting 783.97/133.06 EOF