TSTP Solution File: SET008-1 by Zipperpin---2.1.9999

View Problem - Process Solution

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% File     : Zipperpin---2.1.9999
% Problem  : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pHRwqD9BpU true

% Computer : n020.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 : Thu Aug 31 16:11:36 EDT 2023

% Result   : Unsatisfiable 0.22s 0.78s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.pHRwqD9BpU true
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 13:45:59 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78  % Solved by fo/fo6_bce.sh.
% 0.22/0.78  % BCE start: 21
% 0.22/0.78  % BCE eliminated: 0
% 0.22/0.78  % PE start: 21
% 0.22/0.78  logic: neq
% 0.22/0.78  % PE eliminated: 4
% 0.22/0.78  % done 45 iterations in 0.039s
% 0.22/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.78  % SZS output start Refutation
% 0.22/0.78  thf(intersection_type, type, intersection: $i > $i > $i > $o).
% 0.22/0.78  thf(aI_bDa_type, type, aI_bDa: $i).
% 0.22/0.78  thf(difference_type, type, difference: $i > $i > $i > $o).
% 0.22/0.78  thf(a_type, type, a: $i).
% 0.22/0.78  thf(member_type, type, member: $i > $i > $o).
% 0.22/0.78  thf(bDa_type, type, bDa: $i).
% 0.22/0.78  thf(b_type, type, b: $i).
% 0.22/0.78  thf(h_type, type, h: $i > $i > $i > $i).
% 0.22/0.78  thf(a_intersection_bDa, conjecture, (intersection @ a @ bDa @ aI_bDa)).
% 0.22/0.78  thf(zf_stmt_0, negated_conjecture, (~( intersection @ a @ bDa @ aI_bDa )),
% 0.22/0.78    inference('cnf.neg', [status(esa)], [a_intersection_bDa])).
% 0.22/0.78  thf(zip_derived_cl19, plain, (~ (intersection @ a @ bDa @ aI_bDa)),
% 0.22/0.78      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.22/0.78  thf(intersection_axiom2, axiom,
% 0.22/0.78    (( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Intersection ) | 
% 0.22/0.78     ( intersection @ Set1 @ Set2 @ Intersection ) | 
% 0.22/0.78     ( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set2 ))).
% 0.22/0.78  thf(zip_derived_cl10, plain,
% 0.22/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.78         ( (member @ (h @ X0 @ X1 @ X2) @ X2)
% 0.22/0.78          |  (intersection @ X0 @ X1 @ X2)
% 0.22/0.78          |  (member @ (h @ X0 @ X1 @ X2) @ X1))),
% 0.22/0.78      inference('cnf', [status(esa)], [intersection_axiom2])).
% 0.22/0.78  thf(prove_aI_bDa_is_empty, conjecture, (member @ A @ aI_bDa)).
% 0.22/0.78  thf(zf_stmt_1, negated_conjecture, (~( member @ A @ aI_bDa )),
% 0.22/0.78    inference('cnf.neg', [status(esa)], [prove_aI_bDa_is_empty])).
% 0.22/0.78  thf(zip_derived_cl20, plain, (![X0 : $i]: ~ (member @ X0 @ aI_bDa)),
% 0.22/0.78      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.22/0.78  thf(zip_derived_cl76, plain,
% 0.22/0.78      (![X0 : $i, X1 : $i]:
% 0.22/0.78         ( (member @ (h @ X1 @ X0 @ aI_bDa) @ X0)
% 0.22/0.78          |  (intersection @ X1 @ X0 @ aI_bDa))),
% 0.22/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl20])).
% 0.22/0.78  thf(intersection_axiom1, axiom,
% 0.22/0.78    (( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Intersection ) | 
% 0.22/0.78     ( intersection @ Set1 @ Set2 @ Intersection ) | 
% 0.22/0.78     ( member @ ( h @ Set1 @ Set2 @ Intersection ) @ Set1 ))).
% 0.22/0.78  thf(zip_derived_cl9, plain,
% 0.22/0.78      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.22/0.78         ( (member @ (h @ X0 @ X1 @ X2) @ X2)
% 0.22/0.78          |  (intersection @ X0 @ X1 @ X2)
% 0.22/0.78          |  (member @ (h @ X0 @ X1 @ X2) @ X0))),
% 0.22/0.78      inference('cnf', [status(esa)], [intersection_axiom1])).
% 0.22/0.78  thf(zip_derived_cl20, plain, (![X0 : $i]: ~ (member @ X0 @ aI_bDa)),
% 0.22/0.78      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.22/0.78  thf(zip_derived_cl58, plain,
% 0.22/0.78      (![X0 : $i, X1 : $i]:
% 0.22/0.78         ( (member @ (h @ X1 @ X0 @ aI_bDa) @ X1)
% 0.22/0.78          |  (intersection @ X1 @ X0 @ aI_bDa))),
% 0.22/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl20])).
% 0.22/0.78  thf(b_minus_a, axiom, (difference @ b @ a @ bDa)).
% 0.22/0.78  thf(zip_derived_cl18, plain, ( (difference @ b @ a @ bDa)),
% 0.22/0.78      inference('cnf', [status(esa)], [b_minus_a])).
% 0.22/0.78  thf(not_member_of_difference, axiom,
% 0.22/0.78    (( ~( member @ Element @ Set1 ) ) | ( ~( member @ Element @ Set2 ) ) | 
% 0.22/0.78     ( ~( difference @ A_set @ Set1 @ Set2 ) ))).
% 0.22/0.78  thf(zip_derived_cl13, plain,
% 0.22/0.78      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.22/0.78         (~ (member @ X0 @ X1)
% 0.22/0.78          | ~ (member @ X0 @ X2)
% 0.22/0.78          | ~ (difference @ X3 @ X1 @ X2))),
% 0.22/0.78      inference('cnf', [status(esa)], [not_member_of_difference])).
% 0.22/0.78  thf(zip_derived_cl49, plain,
% 0.22/0.78      (![X0 : $i]: (~ (member @ X0 @ a) | ~ (member @ X0 @ bDa))),
% 0.22/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl13])).
% 0.22/0.78  thf(zip_derived_cl66, plain,
% 0.22/0.78      (![X0 : $i]:
% 0.22/0.78         ( (intersection @ a @ X0 @ aI_bDa)
% 0.22/0.78          | ~ (member @ (h @ a @ X0 @ aI_bDa) @ bDa))),
% 0.22/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl49])).
% 0.22/0.78  thf(zip_derived_cl220, plain,
% 0.22/0.78      (( (intersection @ a @ bDa @ aI_bDa) |  (intersection @ a @ bDa @ aI_bDa))),
% 0.22/0.78      inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl66])).
% 0.22/0.78  thf(zip_derived_cl225, plain, ( (intersection @ a @ bDa @ aI_bDa)),
% 0.22/0.78      inference('simplify', [status(thm)], [zip_derived_cl220])).
% 0.22/0.78  thf(zip_derived_cl226, plain, ($false),
% 0.22/0.78      inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl225])).
% 0.22/0.78  
% 0.22/0.78  % SZS output end Refutation
% 0.22/0.78  
% 0.22/0.78  
% 0.22/0.78  % Terminating...
% 1.77/0.87  % Runner terminated.
% 1.77/0.88  % Zipperpin 1.5 exiting
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