%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ027-1 : 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 : n014.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 1.16s 1.89s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 40 ( 9 unt; 4 nHn; 38 RR)
% Number of literals : 91 ( 0 equ; 61 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-1 aty)
% Number of variables : 4 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a_and_b_normal,hypothesis,
( answer(a_and_b_normal)
| ~ a_truth(normal(a))
| ~ a_truth(normal(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_normal) ).
cnf(prove_there_is_an_answer,negated_conjecture,
~ answer(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
cnf(a_liar_b_normal,hypothesis,
( answer(a_liar_b_normal)
| ~ a_truth(liar(a))
| ~ a_truth(normal(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_liar_b_normal) ).
cnf(a_truthteller_b_normal,hypothesis,
( answer(a_truthteller_b_normal)
| ~ a_truth(truthteller(a))
| ~ a_truth(normal(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_truthteller_b_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(a_normal_b_liar,hypothesis,
( answer(a_normal_b_liar)
| ~ a_truth(normal(a))
| ~ a_truth(liar(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_normal_b_liar) ).
cnf(a_normal_b_truthteller,hypothesis,
( answer(a_normal_b_truthteller)
| ~ a_truth(normal(a))
| ~ a_truth(truthteller(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_normal_b_truthteller) ).
cnf(a_and_b_liar,hypothesis,
( answer(a_and_b_liar)
| ~ a_truth(liar(a))
| ~ a_truth(liar(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_liar) ).
cnf(a_truthteller_b_liar,hypothesis,
( answer(a_truthteller_b_liar)
| ~ a_truth(truthteller(a))
| ~ a_truth(liar(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_truthteller_b_liar) ).
cnf(a_liar_b_truthteller,hypothesis,
( answer(a_liar_b_truthteller)
| ~ a_truth(liar(a))
| ~ a_truth(truthteller(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_liar_b_truthteller) ).
cnf(a_and_b_truthteller,hypothesis,
( answer(a_and_b_truthteller)
| ~ a_truth(truthteller(a))
| ~ a_truth(truthteller(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_truthteller) ).
cnf(c_0_11,hypothesis,
( answer(a_and_b_normal)
| ~ a_truth(normal(a))
| ~ a_truth(normal(b)) ),
a_and_b_normal ).
cnf(c_0_12,negated_conjecture,
~ answer(X1),
prove_there_is_an_answer ).
cnf(c_0_13,hypothesis,
( answer(a_liar_b_normal)
| ~ a_truth(liar(a))
| ~ a_truth(normal(b)) ),
a_liar_b_normal ).
cnf(c_0_14,hypothesis,
( answer(a_truthteller_b_normal)
| ~ a_truth(truthteller(a))
| ~ a_truth(normal(b)) ),
a_truthteller_b_normal ).
cnf(c_0_15,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b)) ),
inference(sr,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1))
| a_truth(normal(X1)) ),
person_is_one_type ).
cnf(c_0_17,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b)) ),
inference(sr,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_18,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b)) ),
inference(sr,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_19,hypothesis,
( answer(a_normal_b_liar)
| ~ a_truth(normal(a))
| ~ a_truth(liar(b)) ),
a_normal_b_liar ).
cnf(c_0_20,hypothesis,
~ a_truth(normal(b)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).
cnf(c_0_21,hypothesis,
( answer(a_normal_b_truthteller)
| ~ a_truth(normal(a))
| ~ a_truth(truthteller(b)) ),
a_normal_b_truthteller ).
cnf(c_0_22,hypothesis,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
inference(sr,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_23,hypothesis,
( a_truth(liar(b))
| a_truth(truthteller(b)) ),
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_24,hypothesis,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
inference(sr,[status(thm)],[c_0_21,c_0_12]) ).
cnf(c_0_25,hypothesis,
( answer(a_and_b_liar)
| ~ a_truth(liar(a))
| ~ a_truth(liar(b)) ),
a_and_b_liar ).
cnf(c_0_26,hypothesis,
~ a_truth(normal(a)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_27,hypothesis,
( answer(a_truthteller_b_liar)
| ~ a_truth(truthteller(a))
| ~ a_truth(liar(b)) ),
a_truthteller_b_liar ).
cnf(c_0_28,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b)) ),
inference(sr,[status(thm)],[c_0_25,c_0_12]) ).
cnf(c_0_29,hypothesis,
( a_truth(liar(a))
| a_truth(truthteller(a)) ),
inference(spm,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_30,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b)) ),
inference(sr,[status(thm)],[c_0_27,c_0_12]) ).
cnf(c_0_31,hypothesis,
( answer(a_liar_b_truthteller)
| ~ a_truth(liar(a))
| ~ a_truth(truthteller(b)) ),
a_liar_b_truthteller ).
cnf(c_0_32,hypothesis,
~ a_truth(liar(b)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_33,hypothesis,
( answer(a_and_b_truthteller)
| ~ a_truth(truthteller(a))
| ~ a_truth(truthteller(b)) ),
a_and_b_truthteller ).
cnf(c_0_34,hypothesis,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(sr,[status(thm)],[c_0_31,c_0_12]) ).
cnf(c_0_35,hypothesis,
a_truth(truthteller(b)),
inference(sr,[status(thm)],[c_0_23,c_0_32]) ).
cnf(c_0_36,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(truthteller(b)) ),
inference(sr,[status(thm)],[c_0_33,c_0_12]) ).
cnf(c_0_37,hypothesis,
~ a_truth(liar(a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_38,hypothesis,
~ a_truth(truthteller(a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_35])]) ).
cnf(c_0_39,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_29,c_0_37]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.23 % Problem : PUZ027-1 : TPTP v9.2.1. Released v1.0.0.
% 0.02/0.23 % 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
% 0.13/0.47 % Computer : n014.cluster.edu
% 0.13/0.47 % Model : x86_64 x86_64
% 0.13/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.47 % Memory : 8042.1875MB
% 0.13/0.47 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.47 % CPULimit : 300
% 0.13/0.47 % WCLimit : 300
% 0.13/0.47 % DateTime : Tue May 5 01:33:37 EDT 2026
% 0.13/0.47 % CPUTime :
% 0.13/0.48 % start to proof: theBenchmark
% 1.16/1.89 % Version : CSE_E---1.7
% 1.16/1.89 % Problem : theBenchmark.p
% 1.16/1.89 % SZS status Unsatisfiable for theBenchmark.p
% 1.16/1.89 % SZS output start CNFRefutation
% See solution above
% 1.16/1.89 % Total time : 1.401s
%------------------------------------------------------------------------------