%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ026-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n025.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 : Tue May 5 05:02:40 PM UTC 2026
% Result : Unsatisfiable 1.23s 1.71s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of clauses : 62 ( 19 unt; 11 nHn; 56 RR)
% Number of literals : 128 ( 0 equ; 82 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_two_liars2,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(liar(X1))
| ~ a_truth(liar(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_liars2) ).
cnf(b_c_a_are_people,hypothesis,
people(b,c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_c_a_are_people) ).
cnf(liars_lie,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',liars_lie) ).
cnf(b_says_a_normal,hypothesis,
a_truth(says(b,normal(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_says_a_normal) ).
cnf(person_is_one_type,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1))
| a_truth(normal(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',person_is_one_type) ).
cnf(truthtellers_tell_truth,axiom,
( a_truth(X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',truthtellers_tell_truth) ).
cnf(a_says_a_normal,hypothesis,
a_truth(says(a,normal(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_a_normal) ).
cnf(not_truthteller_and_normal,axiom,
( ~ a_truth(truthteller(X1))
| ~ a_truth(normal(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',not_truthteller_and_normal) ).
cnf(c_says_c_not_normal,hypothesis,
a_truth(says(c,not_normal(c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_says_c_not_normal) ).
cnf(normal_or_not_normal,axiom,
( a_truth(not_normal(X1))
| a_truth(normal(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normal_or_not_normal) ).
cnf(not_liar_and_normal,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(normal(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',not_liar_and_normal) ).
cnf(not_two_normal1,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(normal(X1))
| ~ a_truth(normal(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_normal1) ).
cnf(c_b_a_are_people,hypothesis,
people(c,b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_b_a_are_people) ).
cnf(not_two_normal2,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(normal(X1))
| ~ a_truth(normal(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_normal2) ).
cnf(not_two_truthtellers1,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(truthteller(X1))
| ~ a_truth(truthteller(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_truthtellers1) ).
cnf(prove_one_of_each,negated_conjecture,
( ~ a_truth(liar(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(truthteller(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_one_of_each) ).
cnf(not_two_truthtellers2,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(truthteller(X1))
| ~ a_truth(truthteller(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_truthtellers2) ).
cnf(a_b_c_are_people,hypothesis,
people(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_b_c_are_people) ).
cnf(c_0_18,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(liar(X1))
| ~ a_truth(liar(X3)) ),
not_two_liars2 ).
cnf(c_0_19,hypothesis,
people(b,c,a),
b_c_a_are_people ).
cnf(c_0_20,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
liars_lie ).
cnf(c_0_21,hypothesis,
a_truth(says(b,normal(a))),
b_says_a_normal ).
cnf(c_0_22,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1))
| a_truth(normal(X1)) ),
person_is_one_type ).
cnf(c_0_24,axiom,
( a_truth(X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2)) ),
truthtellers_tell_truth ).
cnf(c_0_25,hypothesis,
a_truth(says(a,normal(a))),
a_says_a_normal ).
cnf(c_0_26,axiom,
( ~ a_truth(truthteller(X1))
| ~ a_truth(normal(X1)) ),
not_truthteller_and_normal ).
cnf(c_0_27,hypothesis,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,hypothesis,
a_truth(says(c,not_normal(c))),
c_says_c_not_normal ).
cnf(c_0_29,hypothesis,
( a_truth(normal(b))
| a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,hypothesis,
~ a_truth(truthteller(a)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,hypothesis,
( a_truth(normal(b))
| a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
cnf(c_0_32,hypothesis,
( ~ a_truth(liar(c))
| ~ a_truth(not_normal(c)) ),
inference(spm,[status(thm)],[c_0_20,c_0_28]) ).
cnf(c_0_33,axiom,
( a_truth(not_normal(X1))
| a_truth(normal(X1)) ),
normal_or_not_normal ).
cnf(c_0_34,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(normal(X1)) ),
not_liar_and_normal ).
cnf(c_0_35,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(normal(X1))
| ~ a_truth(normal(X2)) ),
not_two_normal1 ).
cnf(c_0_36,hypothesis,
people(c,b,a),
c_b_a_are_people ).
cnf(c_0_37,hypothesis,
( a_truth(normal(a))
| ~ a_truth(truthteller(b)) ),
inference(spm,[status(thm)],[c_0_24,c_0_21]) ).
cnf(c_0_38,hypothesis,
( a_truth(truthteller(b))
| a_truth(normal(b)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_23]),c_0_30]),c_0_31]) ).
cnf(c_0_39,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(normal(X1))
| ~ a_truth(normal(X3)) ),
not_two_normal2 ).
cnf(c_0_40,hypothesis,
~ a_truth(liar(c)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_41,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(truthteller(X1))
| ~ a_truth(truthteller(X2)) ),
not_two_truthtellers1 ).
cnf(c_0_42,hypothesis,
( ~ a_truth(normal(b))
| ~ a_truth(normal(c)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,hypothesis,
( a_truth(normal(b))
| a_truth(normal(a)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(normal(c)) ),
inference(spm,[status(thm)],[c_0_39,c_0_36]) ).
cnf(c_0_45,negated_conjecture,
( ~ a_truth(liar(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(truthteller(X3)) ),
prove_one_of_each ).
cnf(c_0_46,hypothesis,
( a_truth(normal(c))
| a_truth(truthteller(c)) ),
inference(spm,[status(thm)],[c_0_40,c_0_23]) ).
cnf(c_0_47,hypothesis,
( ~ a_truth(truthteller(c))
| ~ a_truth(truthteller(b)) ),
inference(spm,[status(thm)],[c_0_41,c_0_19]) ).
cnf(c_0_48,hypothesis,
~ a_truth(normal(c)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_49,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(truthteller(X1))
| ~ a_truth(truthteller(X3)) ),
not_two_truthtellers2 ).
cnf(c_0_50,hypothesis,
people(a,b,c),
a_b_c_are_people ).
cnf(c_0_51,negated_conjecture,
( a_truth(normal(c))
| ~ a_truth(liar(X1))
| ~ a_truth(normal(X2)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,hypothesis,
( a_truth(normal(b))
| ~ a_truth(truthteller(c)) ),
inference(spm,[status(thm)],[c_0_47,c_0_38]) ).
cnf(c_0_53,hypothesis,
a_truth(truthteller(c)),
inference(sr,[status(thm)],[c_0_46,c_0_48]) ).
cnf(c_0_54,hypothesis,
( ~ a_truth(truthteller(c))
| ~ a_truth(truthteller(a)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
( a_truth(normal(c))
| a_truth(normal(X1))
| a_truth(truthteller(X1))
| ~ a_truth(normal(X2)) ),
inference(spm,[status(thm)],[c_0_51,c_0_23]) ).
cnf(c_0_56,hypothesis,
a_truth(normal(b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
cnf(c_0_57,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b)) ),
inference(spm,[status(thm)],[c_0_39,c_0_19]) ).
cnf(c_0_58,hypothesis,
( a_truth(normal(c))
| ~ a_truth(truthteller(a)) ),
inference(spm,[status(thm)],[c_0_54,c_0_46]) ).
cnf(c_0_59,negated_conjecture,
( a_truth(truthteller(X1))
| a_truth(normal(X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_48]) ).
cnf(c_0_60,hypothesis,
~ a_truth(normal(a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_56])]) ).
cnf(c_0_61,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_48]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ026-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n025.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 01:33:28 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.23/1.71 % Version : CSE_E---1.7
% 1.23/1.71 % Problem : theBenchmark.p
% 1.23/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.23/1.71 % SZS output start CNFRefutation
% See solution above
% 1.23/1.71 % Total time : 1.370s
%------------------------------------------------------------------------------