%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ANA012-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.T40ke488lJ true
% Computer : n016.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 Oct 2 04:28:50 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA012-2 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.T40ke488lJ true
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 15:24:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.45/0.63 % Total configuration time : 435
% 0.45/0.63 % Estimated wc time : 1092
% 0.45/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % Solved by fo/fo6_bce.sh.
% 0.57/0.74 % BCE start: 9
% 0.57/0.74 % BCE eliminated: 0
% 0.57/0.74 % PE start: 9
% 0.57/0.74 logic: eq
% 0.57/0.74 % PE eliminated: 5
% 0.57/0.74 % done 5 iterations in 0.010s
% 0.57/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.74 % SZS output start Refutation
% 0.57/0.74 thf(t_a_type, type, t_a: $i).
% 0.57/0.74 thf(class_OrderedGroup_Olordered__ab__group__abs_type, type, class_OrderedGroup_Olordered__ab__group__abs:
% 0.57/0.74 $i > $o).
% 0.57/0.74 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $o).
% 0.57/0.74 thf(c_times_type, type, c_times: $i > $i > $i > $i).
% 0.57/0.74 thf(c_HOL_Oabs_type, type, c_HOL_Oabs: $i > $i > $i).
% 0.57/0.74 thf(class_Orderings_Oorder_type, type, class_Orderings_Oorder: $i > $o).
% 0.57/0.74 thf(c_HOL_Oinverse_type, type, c_HOL_Oinverse: $i > $i > $i).
% 0.57/0.74 thf(c_0_type, type, c_0: $i).
% 0.57/0.74 thf(class_Ring__and__Field_Ofield_type, type, class_Ring__and__Field_Ofield:
% 0.57/0.74 $i > $o).
% 0.57/0.74 thf(c_1_type, type, c_1: $i).
% 0.57/0.74 thf(class_Ring__and__Field_Oordered__field_type, type, class_Ring__and__Field_Oordered__field:
% 0.57/0.74 $i > $o).
% 0.57/0.74 thf(v_c_type, type, v_c: $i).
% 0.57/0.74 thf(tfree_tcs, conjecture,
% 0.57/0.74 (~( class_Ring__and__Field_Oordered__field @ t_a ))).
% 0.57/0.74 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.74 (class_Ring__and__Field_Oordered__field @ t_a),
% 0.57/0.74 inference('cnf.neg', [status(esa)], [tfree_tcs])).
% 0.57/0.74 thf(zip_derived_cl2, plain,
% 0.57/0.74 ( (class_Ring__and__Field_Oordered__field @ t_a)),
% 0.57/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.74 thf(clsrel_Ring__and__Field_Oordered__field_0, axiom,
% 0.57/0.74 (( ~( class_Ring__and__Field_Oordered__field @ T ) ) |
% 0.57/0.74 ( class_Ring__and__Field_Ofield @ T ))).
% 0.57/0.74 thf(zip_derived_cl6, plain,
% 0.57/0.74 (![X0 : $i]:
% 0.57/0.74 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 0.57/0.74 | (class_Ring__and__Field_Ofield @ X0))),
% 0.57/0.74 inference('cnf', [status(esa)],
% 0.57/0.74 [clsrel_Ring__and__Field_Oordered__field_0])).
% 0.57/0.74 thf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0, axiom,
% 0.57/0.74 (( ~( class_Ring__and__Field_Ofield @ T_a ) ) | ( ( V_a ) = ( c_0 ) ) |
% 0.57/0.74 ( ( c_times @ ( c_HOL_Oinverse @ V_a @ T_a ) @ V_a @ T_a ) = ( c_1 ) ))).
% 0.57/0.74 thf(zip_derived_cl5, plain,
% 0.57/0.74 (![X0 : $i, X1 : $i]:
% 0.57/0.74 (~ (class_Ring__and__Field_Ofield @ X0)
% 0.57/0.74 | ((X1) = (c_0))
% 0.57/0.74 | ((c_times @ (c_HOL_Oinverse @ X1 @ X0) @ X1 @ X0) = (c_1)))),
% 0.57/0.74 inference('cnf', [status(esa)],
% 0.57/0.74 [cls_Ring__and__Field_Ofield__class_Oaxioms__1_0])).
% 0.57/0.74 thf(zip_derived_cl37, plain,
% 0.57/0.74 (![X0 : $i, X1 : $i]:
% 0.57/0.74 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 0.57/0.74 | ((c_times @ (c_HOL_Oinverse @ X1 @ X0) @ X1 @ X0) = (c_1))
% 0.57/0.74 | ((X1) = (c_0)))),
% 0.57/0.74 inference('dp-resolution', [status(thm)],
% 0.57/0.74 [zip_derived_cl6, zip_derived_cl5])).
% 0.57/0.74 thf(zip_derived_cl40, plain,
% 0.57/0.74 (![X0 : $i]:
% 0.57/0.74 (((X0) = (c_0))
% 0.57/0.74 | ((c_times @ (c_HOL_Oinverse @ X0 @ t_a) @ X0 @ t_a) = (c_1)))),
% 0.57/0.74 inference('dp-resolution', [status(thm)],
% 0.57/0.74 [zip_derived_cl2, zip_derived_cl37])).
% 0.57/0.74 thf(zip_derived_cl2, plain,
% 0.57/0.74 ( (class_Ring__and__Field_Oordered__field @ t_a)),
% 0.57/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.74 thf(clsrel_Ring__and__Field_Oordered__field_58, axiom,
% 0.57/0.74 (( ~( class_Ring__and__Field_Oordered__field @ T ) ) |
% 0.57/0.74 ( class_Orderings_Oorder @ T ))).
% 0.57/0.74 thf(zip_derived_cl8, plain,
% 0.57/0.74 (![X0 : $i]:
% 0.57/0.74 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 0.57/0.74 | (class_Orderings_Oorder @ X0))),
% 0.57/0.74 inference('cnf', [status(esa)],
% 0.57/0.74 [clsrel_Ring__and__Field_Oordered__field_58])).
% 0.57/0.74 thf(cls_Orderings_Oorder__class_Oaxioms__1_0, axiom,
% 0.57/0.74 (( ~( class_Orderings_Oorder @ T_a ) ) | ( c_lessequals @ V_x @ V_x @ T_a ))).
% 0.57/0.74 thf(zip_derived_cl4, plain,
% 0.57/0.74 (![X0 : $i, X1 : $i]:
% 0.57/0.74 (~ (class_Orderings_Oorder @ X0) | (c_lessequals @ X1 @ X1 @ X0))),
% 0.57/0.74 inference('cnf', [status(esa)],
% 0.57/0.74 [cls_Orderings_Oorder__class_Oaxioms__1_0])).
% 0.57/0.74 thf(cls_conjecture_1, conjecture,
% 0.57/0.74 (c_lessequals @
% 0.57/0.74 c_1 @ ( c_times @ V_U @ ( c_HOL_Oabs @ v_c @ t_a ) @ t_a ) @ t_a)).
% 0.57/0.74 thf(zf_stmt_1, negated_conjecture,
% 0.57/0.74 (~( c_lessequals @
% 0.57/0.74 c_1 @ ( c_times @ V_U @ ( c_HOL_Oabs @ v_c @ t_a ) @ t_a ) @ t_a )),
% 0.57/0.74 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.57/0.74 thf(zip_derived_cl1, plain,
% 0.57/0.74 (![X0 : $i]:
% 0.57/0.74 ~ (c_lessequals @ c_1 @
% 0.57/0.74 (c_times @ X0 @ (c_HOL_Oabs @ v_c @ t_a) @ t_a) @ t_a)),
% 0.57/0.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.74 thf(zip_derived_cl35, plain,
% 0.57/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.74 (((X1) != (c_1))
% 0.57/0.74 | ((X1) != (c_times @ X2 @ (c_HOL_Oabs @ v_c @ t_a) @ t_a))
% 0.57/0.74 | ((X0) != (t_a))
% 0.57/0.74 | ~ (class_Orderings_Oorder @ X0))),
% 0.57/0.74 inference('dp-resolution', [status(thm)],
% 0.57/0.74 [zip_derived_cl4, zip_derived_cl1])).
% 0.57/0.74 thf(zip_derived_cl38, plain,
% 0.57/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.74 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 0.57/0.74 | ((X0) != (t_a))
% 0.57/0.74 | ((X1) != (c_times @ X2 @ (c_HOL_Oabs @ v_c @ t_a) @ t_a))
% 0.57/0.74 | ((X1) != (c_1)))),
% 0.57/0.74 inference('dp-resolution', [status(thm)],
% 0.57/0.74 [zip_derived_cl8, zip_derived_cl35])).
% 0.57/0.74 thf(zip_derived_cl41, plain,
% 0.57/0.74 (![X0 : $i, X1 : $i]:
% 0.57/0.74 (((X0) != (c_1))
% 0.57/0.74 | ((X0) != (c_times @ X1 @ (c_HOL_Oabs @ v_c @ t_a) @ t_a))
% 0.57/0.74 | ((t_a) != (t_a)))),
% 0.57/0.74 inference('dp-resolution', [status(thm)],
% 0.57/0.74 [zip_derived_cl2, zip_derived_cl38])).
% 0.57/0.74 thf(zip_derived_cl42, plain,
% 0.57/0.74 (![X0 : $i, X1 : $i]:
% 0.57/0.74 (((X0) != (c_times @ X1 @ (c_HOL_Oabs @ v_c @ t_a) @ t_a))
% 0.57/0.74 | ((X0) != (c_1)))),
% 0.57/0.74 inference('simplify', [status(thm)], [zip_derived_cl41])).
% 0.57/0.74 thf(zip_derived_cl43, plain,
% 0.57/0.74 (![X0 : $i]: ((c_1) != (c_times @ X0 @ (c_HOL_Oabs @ v_c @ t_a) @ t_a))),
% 0.57/0.74 inference('eq_res', [status(thm)], [zip_derived_cl42])).
% 0.57/0.74 thf(zip_derived_cl44, plain,
% 0.57/0.74 ((((c_HOL_Oabs @ v_c @ t_a) = (c_0)) | ((c_1) != (c_1)))),
% 0.57/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl43])).
% 0.57/0.74 thf(zip_derived_cl45, plain, (((c_HOL_Oabs @ v_c @ t_a) = (c_0))),
% 0.57/0.74 inference('simplify', [status(thm)], [zip_derived_cl44])).
% 0.57/0.74 thf(zip_derived_cl2, plain,
% 0.57/0.74 ( (class_Ring__and__Field_Oordered__field @ t_a)),
% 0.57/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.74 thf(clsrel_Ring__and__Field_Oordered__field_47, axiom,
% 0.57/0.74 (( ~( class_Ring__and__Field_Oordered__field @ T ) ) |
% 0.57/0.74 ( class_OrderedGroup_Olordered__ab__group__abs @ T ))).
% 0.57/0.74 thf(zip_derived_cl7, plain,
% 0.57/0.74 (![X0 : $i]:
% 0.57/0.74 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 0.57/0.74 | (class_OrderedGroup_Olordered__ab__group__abs @ X0))),
% 0.57/0.74 inference('cnf', [status(esa)],
% 0.57/0.74 [clsrel_Ring__and__Field_Oordered__field_47])).
% 0.57/0.74 thf(cls_OrderedGroup_Oabs__eq__0_0, axiom,
% 0.57/0.74 (( ~( class_OrderedGroup_Olordered__ab__group__abs @ T_a ) ) |
% 0.57/0.74 ( ( c_HOL_Oabs @ V_a @ T_a ) != ( c_0 ) ) | ( ( V_a ) = ( c_0 ) ))).
% 0.57/0.74 thf(zip_derived_cl3, plain,
% 0.57/0.74 (![X0 : $i, X1 : $i]:
% 0.57/0.74 (~ (class_OrderedGroup_Olordered__ab__group__abs @ X0)
% 0.57/0.74 | ((c_HOL_Oabs @ X1 @ X0) != (c_0))
% 0.57/0.74 | ((X1) = (c_0)))),
% 0.57/0.74 inference('cnf', [status(esa)], [cls_OrderedGroup_Oabs__eq__0_0])).
% 0.57/0.74 thf(zip_derived_cl36, plain,
% 0.57/0.74 (![X0 : $i, X1 : $i]:
% 0.57/0.74 (~ (class_Ring__and__Field_Oordered__field @ X0)
% 0.57/0.74 | ((X1) = (c_0))
% 0.57/0.74 | ((c_HOL_Oabs @ X1 @ X0) != (c_0)))),
% 0.57/0.74 inference('dp-resolution', [status(thm)],
% 0.57/0.74 [zip_derived_cl7, zip_derived_cl3])).
% 0.57/0.74 thf(zip_derived_cl39, plain,
% 0.57/0.74 (![X0 : $i]: (((c_HOL_Oabs @ X0 @ t_a) != (c_0)) | ((X0) = (c_0)))),
% 0.57/0.74 inference('dp-resolution', [status(thm)],
% 0.57/0.74 [zip_derived_cl2, zip_derived_cl36])).
% 0.57/0.74 thf(zip_derived_cl48, plain, ((((c_0) != (c_0)) | ((v_c) = (c_0)))),
% 0.57/0.74 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl39])).
% 0.57/0.74 thf(zip_derived_cl49, plain, (((v_c) = (c_0))),
% 0.57/0.74 inference('simplify', [status(thm)], [zip_derived_cl48])).
% 0.57/0.74 thf(cls_conjecture_0, conjecture, (( v_c ) = ( c_0 ))).
% 0.57/0.74 thf(zf_stmt_2, negated_conjecture, (( v_c ) != ( c_0 )),
% 0.57/0.74 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.57/0.74 thf(zip_derived_cl0, plain, (((v_c) != (c_0))),
% 0.57/0.74 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.74 thf(zip_derived_cl50, plain, ($false),
% 0.57/0.74 inference('simplify_reflect-', [status(thm)],
% 0.57/0.74 [zip_derived_cl49, zip_derived_cl0])).
% 0.57/0.74
% 0.57/0.74 % SZS output end Refutation
% 0.57/0.74
% 0.57/0.74
% 0.57/0.74 % Terminating...
% 0.63/0.85 % Runner terminated.
% 1.53/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------