%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PUZ026-1 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1xv3t1syPs true
% Computer : n003.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 04:49:30 PM UTC 2025
% Result : Unsatisfiable 0.57s 0.83s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PUZ026-1 : TPTP v9.2.0. Released v1.0.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1xv3t1syPs true
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 15:07:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.57/0.65 % Total configuration time : 435
% 0.57/0.65 % Estimated wc time : 1092
% 0.57/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.80 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.83 % Solved by fo/fo1_av.sh.
% 0.57/0.83 % done 88 iterations in 0.026s
% 0.57/0.83 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.83 % SZS output start Refutation
% 0.57/0.83 thf(normal_type, type, normal: $i > $i).
% 0.57/0.83 thf(c_type, type, c: $i).
% 0.57/0.83 thf(a_truth_type, type, a_truth: $i > $o).
% 0.57/0.83 thf(people_type, type, people: $i > $i > $i > $o).
% 0.57/0.83 thf(a_type, type, a: $i).
% 0.57/0.83 thf(truthteller_type, type, truthteller: $i > $i).
% 0.57/0.83 thf(b_type, type, b: $i).
% 0.57/0.83 thf(liar_type, type, liar: $i > $i).
% 0.57/0.83 thf(says_type, type, says: $i > $i > $i).
% 0.57/0.83 thf(a_b_c_are_people, axiom, (people @ a @ b @ c)).
% 0.57/0.83 thf(zip_derived_cl16, plain, ( (people @ a @ b @ c)),
% 0.57/0.83 inference('cnf', [status(esa)], [a_b_c_are_people])).
% 0.57/0.83 thf(not_two_liars1, axiom,
% 0.57/0.83 (( ~( people @ X @ Y @ Z ) ) | ( ~( a_truth @ ( liar @ X ) ) ) |
% 0.57/0.83 ( ~( a_truth @ ( liar @ Y ) ) ))).
% 0.57/0.83 thf(zip_derived_cl12, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.83 (~ (people @ X0 @ X1 @ X2)
% 0.57/0.83 | ~ (a_truth @ (liar @ X0))
% 0.57/0.83 | ~ (a_truth @ (liar @ X1)))),
% 0.57/0.83 inference('cnf', [status(esa)], [not_two_liars1])).
% 0.57/0.83 thf(zip_derived_cl71, plain,
% 0.57/0.83 ((~ (a_truth @ (liar @ a)) | ~ (a_truth @ (liar @ b)))),
% 0.57/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl12])).
% 0.57/0.83 thf(zip_derived_cl73, plain,
% 0.57/0.83 ((~ (a_truth @ (liar @ a))) <= (~ ( (a_truth @ (liar @ a))))),
% 0.57/0.83 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.57/0.83 thf(person_is_one_type, axiom,
% 0.57/0.83 (( a_truth @ ( truthteller @ X ) ) | ( a_truth @ ( liar @ X ) ) |
% 0.57/0.83 ( a_truth @ ( normal @ X ) ))).
% 0.57/0.83 thf(zip_derived_cl0, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 ( (a_truth @ (truthteller @ X0))
% 0.57/0.83 | (a_truth @ (liar @ X0))
% 0.57/0.83 | (a_truth @ (normal @ X0)))),
% 0.57/0.83 inference('cnf', [status(esa)], [person_is_one_type])).
% 0.57/0.83 thf(zip_derived_cl74, plain,
% 0.57/0.83 ((( (a_truth @ (truthteller @ a)) | (a_truth @ (normal @ a))))
% 0.57/0.83 <= (~ ( (a_truth @ (liar @ a))))),
% 0.57/0.83 inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl0])).
% 0.57/0.83 thf(a_says_a_normal, axiom, (a_truth @ ( says @ a @ ( normal @ a ) ))).
% 0.57/0.83 thf(zip_derived_cl19, plain, ( (a_truth @ (says @ a @ (normal @ a)))),
% 0.57/0.83 inference('cnf', [status(esa)], [a_says_a_normal])).
% 0.57/0.83 thf(truthtellers_tell_truth, axiom,
% 0.57/0.83 (( ~( a_truth @ ( truthteller @ X ) ) ) |
% 0.57/0.83 ( ~( a_truth @ ( says @ X @ Y ) ) ) | ( a_truth @ Y ))).
% 0.57/0.83 thf(zip_derived_cl4, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i]:
% 0.57/0.83 (~ (a_truth @ (truthteller @ X0))
% 0.57/0.83 | ~ (a_truth @ (says @ X0 @ X1))
% 0.57/0.83 | (a_truth @ X1))),
% 0.57/0.83 inference('cnf', [status(esa)], [truthtellers_tell_truth])).
% 0.57/0.83 thf(zip_derived_cl36, plain,
% 0.57/0.83 ((~ (a_truth @ (truthteller @ a)) | (a_truth @ (normal @ a)))),
% 0.57/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl4])).
% 0.57/0.83 thf(not_truthteller_and_normal, axiom,
% 0.57/0.83 (( ~( a_truth @ ( truthteller @ X ) ) ) | ( ~( a_truth @ ( normal @ X ) ) ))).
% 0.57/0.83 thf(zip_derived_cl1, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 (~ (a_truth @ (truthteller @ X0)) | ~ (a_truth @ (normal @ X0)))),
% 0.57/0.83 inference('cnf', [status(esa)], [not_truthteller_and_normal])).
% 0.57/0.83 thf(zip_derived_cl59, plain, (~ (a_truth @ (truthteller @ a))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 0.57/0.83 thf(zip_derived_cl80, plain,
% 0.57/0.83 (( (a_truth @ (normal @ a))) <= (~ ( (a_truth @ (liar @ a))))),
% 0.57/0.83 inference('clc', [status(thm)], [zip_derived_cl74, zip_derived_cl59])).
% 0.57/0.83 thf(prove_one_of_each, conjecture,
% 0.57/0.83 (~( ( ~( a_truth @ ( truthteller @ Truthteller ) ) ) |
% 0.57/0.83 ( ~( a_truth @ ( normal @ Normal ) ) ) |
% 0.57/0.83 ( ~( a_truth @ ( liar @ Liar ) ) ) ))).
% 0.57/0.83 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.83 (( ~( a_truth @ ( truthteller @ Truthteller ) ) ) |
% 0.57/0.83 ( ~( a_truth @ ( normal @ Normal ) ) ) |
% 0.57/0.83 ( ~( a_truth @ ( liar @ Liar ) ) )),
% 0.57/0.83 inference('cnf.neg', [status(esa)], [prove_one_of_each])).
% 0.57/0.83 thf(zip_derived_cl22, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.83 (~ (a_truth @ (truthteller @ X0))
% 0.57/0.83 | ~ (a_truth @ (normal @ X1))
% 0.57/0.83 | ~ (a_truth @ (liar @ X2)))),
% 0.57/0.83 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.83 thf(zip_derived_cl24, plain,
% 0.57/0.83 ((![X1 : $i]: ~ (a_truth @ (normal @ X1)))
% 0.57/0.83 <= ((![X1 : $i]: ~ (a_truth @ (normal @ X1))))),
% 0.57/0.83 inference('split', [status(esa)], [zip_derived_cl22])).
% 0.57/0.83 thf('0', plain,
% 0.57/0.83 (~ (![X1 : $i]: ~ (a_truth @ (normal @ X1))) | ( (a_truth @ (liar @ a)))),
% 0.57/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl24])).
% 0.57/0.83 thf(b_c_a_are_people, axiom, (people @ b @ c @ a)).
% 0.57/0.83 thf(zip_derived_cl17, plain, ( (people @ b @ c @ a)),
% 0.57/0.83 inference('cnf', [status(esa)], [b_c_a_are_people])).
% 0.57/0.83 thf(not_two_normal1, axiom,
% 0.57/0.83 (( ~( people @ X @ Y @ Z ) ) | ( ~( a_truth @ ( normal @ X ) ) ) |
% 0.57/0.83 ( ~( a_truth @ ( normal @ Y ) ) ))).
% 0.57/0.83 thf(zip_derived_cl14, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.83 (~ (people @ X0 @ X1 @ X2)
% 0.57/0.83 | ~ (a_truth @ (normal @ X0))
% 0.57/0.83 | ~ (a_truth @ (normal @ X1)))),
% 0.57/0.83 inference('cnf', [status(esa)], [not_two_normal1])).
% 0.57/0.83 thf(zip_derived_cl103, plain,
% 0.57/0.83 ((~ (a_truth @ (normal @ b)) | ~ (a_truth @ (normal @ c)))),
% 0.57/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl14])).
% 0.57/0.83 thf('1', plain,
% 0.57/0.83 (~ ( (a_truth @ (normal @ c))) | ~ ( (a_truth @ (normal @ b)))),
% 0.57/0.83 inference('split', [status(esa)], [zip_derived_cl103])).
% 0.57/0.83 thf(b_says_a_normal, axiom, (a_truth @ ( says @ b @ ( normal @ a ) ))).
% 0.57/0.83 thf(zip_derived_cl20, plain, ( (a_truth @ (says @ b @ (normal @ a)))),
% 0.57/0.83 inference('cnf', [status(esa)], [b_says_a_normal])).
% 0.57/0.83 thf(liars_lie, axiom,
% 0.57/0.83 (( ~( a_truth @ ( liar @ X ) ) ) | ( ~( a_truth @ ( says @ X @ Y ) ) ) |
% 0.57/0.83 ( ~( a_truth @ Y ) ))).
% 0.57/0.83 thf(zip_derived_cl5, plain,
% 0.57/0.83 (![X0 : $i, X1 : $i]:
% 0.57/0.83 (~ (a_truth @ (liar @ X0))
% 0.57/0.83 | ~ (a_truth @ (says @ X0 @ X1))
% 0.57/0.83 | ~ (a_truth @ X1))),
% 0.57/0.83 inference('cnf', [status(esa)], [liars_lie])).
% 0.57/0.83 thf(zip_derived_cl39, plain,
% 0.57/0.83 ((~ (a_truth @ (liar @ b)) | ~ (a_truth @ (normal @ a)))),
% 0.57/0.83 inference('s_sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl5])).
% 0.57/0.83 thf(zip_derived_cl40, plain,
% 0.57/0.83 ((~ (a_truth @ (liar @ b))) <= (~ ( (a_truth @ (liar @ b))))),
% 0.57/0.83 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.57/0.83 thf(zip_derived_cl0, plain,
% 0.57/0.83 (![X0 : $i]:
% 0.57/0.83 ( (a_truth @ (truthteller @ X0))
% 0.57/0.83 | (a_truth @ (liar @ X0))
% 0.57/0.84 | (a_truth @ (normal @ X0)))),
% 0.57/0.84 inference('cnf', [status(esa)], [person_is_one_type])).
% 0.57/0.84 thf(zip_derived_cl42, plain,
% 0.57/0.84 ((( (a_truth @ (truthteller @ b)) | (a_truth @ (normal @ b))))
% 0.57/0.84 <= (~ ( (a_truth @ (liar @ b))))),
% 0.57/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl40, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl46, plain,
% 0.57/0.84 (( (a_truth @ (normal @ b))) <= (( (a_truth @ (normal @ b))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl42])).
% 0.57/0.84 thf(zip_derived_cl24, plain,
% 0.57/0.84 ((![X1 : $i]: ~ (a_truth @ (normal @ X1)))
% 0.57/0.84 <= ((![X1 : $i]: ~ (a_truth @ (normal @ X1))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl22])).
% 0.57/0.84 thf('2', plain,
% 0.57/0.84 (~ ( (a_truth @ (normal @ b))) |
% 0.57/0.84 ~ (![X1 : $i]: ~ (a_truth @ (normal @ X1)))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl24])).
% 0.57/0.84 thf(zip_derived_cl16, plain, ( (people @ a @ b @ c)),
% 0.57/0.84 inference('cnf', [status(esa)], [a_b_c_are_people])).
% 0.57/0.84 thf(not_two_liars2, axiom,
% 0.57/0.84 (( ~( people @ X @ Y @ Z ) ) | ( ~( a_truth @ ( liar @ X ) ) ) |
% 0.57/0.84 ( ~( a_truth @ ( liar @ Z ) ) ))).
% 0.57/0.84 thf(zip_derived_cl13, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 (~ (people @ X0 @ X1 @ X2)
% 0.57/0.84 | ~ (a_truth @ (liar @ X0))
% 0.57/0.84 | ~ (a_truth @ (liar @ X2)))),
% 0.57/0.84 inference('cnf', [status(esa)], [not_two_liars2])).
% 0.57/0.84 thf(zip_derived_cl85, plain,
% 0.57/0.84 ((~ (a_truth @ (liar @ a)) | ~ (a_truth @ (liar @ c)))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl13])).
% 0.57/0.84 thf(zip_derived_cl104, plain,
% 0.57/0.84 ((~ (a_truth @ (liar @ c))) <= (~ ( (a_truth @ (liar @ c))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl85])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]:
% 0.57/0.84 ( (a_truth @ (truthteller @ X0))
% 0.57/0.84 | (a_truth @ (liar @ X0))
% 0.57/0.84 | (a_truth @ (normal @ X0)))),
% 0.57/0.84 inference('cnf', [status(esa)], [person_is_one_type])).
% 0.57/0.84 thf(zip_derived_cl106, plain,
% 0.57/0.84 ((( (a_truth @ (truthteller @ c)) | (a_truth @ (normal @ c))))
% 0.57/0.84 <= (~ ( (a_truth @ (liar @ c))))),
% 0.57/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl0])).
% 0.57/0.84 thf(zip_derived_cl109, plain,
% 0.57/0.84 (( (a_truth @ (truthteller @ c))) <= (( (a_truth @ (truthteller @ c))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl106])).
% 0.57/0.84 thf(zip_derived_cl25, plain,
% 0.57/0.84 ((![X0 : $i]: ~ (a_truth @ (truthteller @ X0)))
% 0.57/0.84 <= ((![X0 : $i]: ~ (a_truth @ (truthteller @ X0))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl22])).
% 0.57/0.84 thf('3', plain,
% 0.57/0.84 (~ ( (a_truth @ (truthteller @ c))) |
% 0.57/0.84 ~ (![X0 : $i]: ~ (a_truth @ (truthteller @ X0)))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl109, zip_derived_cl25])).
% 0.57/0.84 thf(zip_derived_cl59, plain, (~ (a_truth @ (truthteller @ a))),
% 0.57/0.84 inference('clc', [status(thm)], [zip_derived_cl36, zip_derived_cl1])).
% 0.57/0.84 thf(zip_derived_cl0, plain,
% 0.57/0.84 (![X0 : $i]:
% 0.57/0.84 ( (a_truth @ (truthteller @ X0))
% 0.57/0.84 | (a_truth @ (liar @ X0))
% 0.57/0.84 | (a_truth @ (normal @ X0)))),
% 0.57/0.84 inference('cnf', [status(esa)], [person_is_one_type])).
% 0.57/0.84 thf(zip_derived_cl23, plain,
% 0.57/0.84 ((![X2 : $i]: ~ (a_truth @ (liar @ X2)))
% 0.57/0.84 <= ((![X2 : $i]: ~ (a_truth @ (liar @ X2))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl22])).
% 0.57/0.84 thf(zip_derived_cl27, plain,
% 0.57/0.84 ((![X0 : $i]:
% 0.57/0.84 ( (a_truth @ (normal @ X0)) | (a_truth @ (truthteller @ X0))))
% 0.57/0.84 <= ((![X2 : $i]: ~ (a_truth @ (liar @ X2))))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 0.57/0.84 thf(zip_derived_cl60, plain,
% 0.57/0.84 (( (a_truth @ (normal @ a))) <= ((![X2 : $i]: ~ (a_truth @ (liar @ X2))))),
% 0.57/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl27])).
% 0.57/0.84 thf(zip_derived_cl41, plain,
% 0.57/0.84 ((~ (a_truth @ (normal @ a))) <= (~ ( (a_truth @ (normal @ a))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.57/0.84 thf('4', plain,
% 0.57/0.84 (~ (![X2 : $i]: ~ (a_truth @ (liar @ X2))) | ( (a_truth @ (normal @ a)))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl41])).
% 0.57/0.84 thf('5', plain,
% 0.57/0.84 (( (a_truth @ (liar @ c))) | ( (a_truth @ (truthteller @ c))) |
% 0.57/0.84 ( (a_truth @ (normal @ c)))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl106])).
% 0.57/0.84 thf('6', plain, (~ ( (a_truth @ (liar @ b))) | ~ ( (a_truth @ (liar @ a)))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl71])).
% 0.57/0.84 thf('7', plain,
% 0.57/0.84 (~ ( (a_truth @ (liar @ b))) | ~ ( (a_truth @ (normal @ a)))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.57/0.84 thf(zip_derived_cl16, plain, ( (people @ a @ b @ c)),
% 0.57/0.84 inference('cnf', [status(esa)], [a_b_c_are_people])).
% 0.57/0.84 thf(not_two_normal2, axiom,
% 0.57/0.84 (( ~( people @ X @ Y @ Z ) ) | ( ~( a_truth @ ( normal @ X ) ) ) |
% 0.57/0.84 ( ~( a_truth @ ( normal @ Z ) ) ))).
% 0.57/0.84 thf(zip_derived_cl15, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 (~ (people @ X0 @ X1 @ X2)
% 0.57/0.84 | ~ (a_truth @ (normal @ X0))
% 0.57/0.84 | ~ (a_truth @ (normal @ X2)))),
% 0.57/0.84 inference('cnf', [status(esa)], [not_two_normal2])).
% 0.57/0.84 thf(zip_derived_cl122, plain,
% 0.57/0.84 ((~ (a_truth @ (normal @ a)) | ~ (a_truth @ (normal @ c)))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl15])).
% 0.57/0.84 thf('8', plain,
% 0.57/0.84 (~ ( (a_truth @ (normal @ c))) | ~ ( (a_truth @ (normal @ a)))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl122])).
% 0.57/0.84 thf(zip_derived_cl17, plain, ( (people @ b @ c @ a)),
% 0.57/0.84 inference('cnf', [status(esa)], [b_c_a_are_people])).
% 0.57/0.84 thf(not_two_truthtellers1, axiom,
% 0.57/0.84 (( ~( people @ X @ Y @ Z ) ) | ( ~( a_truth @ ( truthteller @ X ) ) ) |
% 0.57/0.84 ( ~( a_truth @ ( truthteller @ Y ) ) ))).
% 0.57/0.84 thf(zip_derived_cl10, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 (~ (people @ X0 @ X1 @ X2)
% 0.57/0.84 | ~ (a_truth @ (truthteller @ X0))
% 0.57/0.84 | ~ (a_truth @ (truthteller @ X1)))),
% 0.57/0.84 inference('cnf', [status(esa)], [not_two_truthtellers1])).
% 0.57/0.84 thf(zip_derived_cl76, plain,
% 0.57/0.84 ((~ (a_truth @ (truthteller @ b)) | ~ (a_truth @ (truthteller @ c)))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl10])).
% 0.57/0.84 thf('9', plain,
% 0.57/0.84 (~ ( (a_truth @ (truthteller @ c))) | ~ ( (a_truth @ (truthteller @ b)))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl76])).
% 0.57/0.84 thf(zip_derived_cl108, plain,
% 0.57/0.84 (( (a_truth @ (normal @ c))) <= (( (a_truth @ (normal @ c))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl106])).
% 0.57/0.84 thf(zip_derived_cl24, plain,
% 0.57/0.84 ((![X1 : $i]: ~ (a_truth @ (normal @ X1)))
% 0.57/0.84 <= ((![X1 : $i]: ~ (a_truth @ (normal @ X1))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl22])).
% 0.57/0.84 thf('10', plain,
% 0.57/0.84 (~ ( (a_truth @ (normal @ c))) |
% 0.57/0.84 ~ (![X1 : $i]: ~ (a_truth @ (normal @ X1)))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl24])).
% 0.57/0.84 thf('11', plain, (~ ( (a_truth @ (liar @ a))) | ~ ( (a_truth @ (liar @ c)))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl85])).
% 0.57/0.84 thf(zip_derived_cl80, plain,
% 0.57/0.84 (( (a_truth @ (normal @ a))) <= (~ ( (a_truth @ (liar @ a))))),
% 0.57/0.84 inference('clc', [status(thm)], [zip_derived_cl74, zip_derived_cl59])).
% 0.57/0.84 thf(zip_derived_cl41, plain,
% 0.57/0.84 ((~ (a_truth @ (normal @ a))) <= (~ ( (a_truth @ (normal @ a))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl39])).
% 0.57/0.84 thf('12', plain, (( (a_truth @ (normal @ a))) | ( (a_truth @ (liar @ a)))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl41])).
% 0.57/0.84 thf(zip_derived_cl16, plain, ( (people @ a @ b @ c)),
% 0.57/0.84 inference('cnf', [status(esa)], [a_b_c_are_people])).
% 0.57/0.84 thf(zip_derived_cl14, plain,
% 0.57/0.84 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.84 (~ (people @ X0 @ X1 @ X2)
% 0.57/0.84 | ~ (a_truth @ (normal @ X0))
% 0.57/0.84 | ~ (a_truth @ (normal @ X1)))),
% 0.57/0.84 inference('cnf', [status(esa)], [not_two_normal1])).
% 0.57/0.84 thf(zip_derived_cl102, plain,
% 0.57/0.84 ((~ (a_truth @ (normal @ a)) | ~ (a_truth @ (normal @ b)))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl14])).
% 0.57/0.84 thf('13', plain,
% 0.57/0.84 (~ ( (a_truth @ (normal @ b))) | ~ ( (a_truth @ (normal @ a)))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl102])).
% 0.57/0.84 thf('14', plain,
% 0.57/0.84 (( (a_truth @ (truthteller @ b))) | ( (a_truth @ (normal @ b))) |
% 0.57/0.84 ( (a_truth @ (liar @ b)))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl42])).
% 0.57/0.84 thf(zip_derived_cl47, plain,
% 0.57/0.84 (( (a_truth @ (truthteller @ b))) <= (( (a_truth @ (truthteller @ b))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl42])).
% 0.57/0.84 thf(zip_derived_cl25, plain,
% 0.57/0.84 ((![X0 : $i]: ~ (a_truth @ (truthteller @ X0)))
% 0.57/0.84 <= ((![X0 : $i]: ~ (a_truth @ (truthteller @ X0))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl22])).
% 0.57/0.84 thf('15', plain,
% 0.57/0.84 (~ (![X0 : $i]: ~ (a_truth @ (truthteller @ X0))) |
% 0.57/0.84 ~ ( (a_truth @ (truthteller @ b)))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl25])).
% 0.57/0.84 thf('16', plain,
% 0.57/0.84 ((![X2 : $i]: ~ (a_truth @ (liar @ X2))) |
% 0.57/0.84 (![X0 : $i]: ~ (a_truth @ (truthteller @ X0))) |
% 0.57/0.84 (![X1 : $i]: ~ (a_truth @ (normal @ X1)))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl22])).
% 0.57/0.84 thf(zip_derived_cl133, plain,
% 0.57/0.84 ((~ (a_truth @ (normal @ c))) <= (~ ( (a_truth @ (normal @ c))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl103])).
% 0.57/0.84 thf(zip_derived_cl87, plain,
% 0.57/0.84 ((~ (a_truth @ (truthteller @ c)))
% 0.57/0.84 <= (~ ( (a_truth @ (truthteller @ c))))),
% 0.57/0.84 inference('split', [status(esa)], [zip_derived_cl76])).
% 0.57/0.84 thf(zip_derived_cl27, plain,
% 0.57/0.84 ((![X0 : $i]:
% 0.57/0.84 ( (a_truth @ (normal @ X0)) | (a_truth @ (truthteller @ X0))))
% 0.57/0.84 <= ((![X2 : $i]: ~ (a_truth @ (liar @ X2))))),
% 0.57/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl23])).
% 0.57/0.84 thf(zip_derived_cl89, plain,
% 0.57/0.84 (( (a_truth @ (normal @ c)))
% 0.57/0.84 <= (~ ( (a_truth @ (truthteller @ c))) &
% 0.57/0.84 (![X2 : $i]: ~ (a_truth @ (liar @ X2))))),
% 0.57/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl87, zip_derived_cl27])).
% 0.57/0.84 thf('17', plain,
% 0.57/0.84 (~ (![X2 : $i]: ~ (a_truth @ (liar @ X2))) |
% 0.57/0.84 ( (a_truth @ (truthteller @ c))) | ( (a_truth @ (normal @ c)))),
% 0.57/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl133, zip_derived_cl89])).
% 0.57/0.84 thf(zip_derived_cl159, plain, ($false),
% 0.57/0.84 inference('sat_resolution*', [status(thm)],
% 0.57/0.84 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.57/0.84 '12', '13', '14', '15', '16', '17'])).
% 0.57/0.84
% 0.57/0.84 % SZS output end Refutation
% 0.57/0.84
% 0.57/0.84
% 0.57/0.84 % Terminating...
% 1.85/0.88 % Runner terminated.
% 1.85/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------