%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ032-1 : 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 : n007.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 05:02:43 PM UTC 2026
% Result : Unsatisfiable 0.27s 1.62s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 37 ( 16 unt; 7 nHn; 34 RR)
% Number of literals : 72 ( 0 equ; 39 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_says_a_says_hes_a_liar,hypothesis,
a_truth(says(b,says(a,liar(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_says_a_says_hes_a_liar) ).
cnf(liars_lie,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ002-0.ax',liars_lie) ).
cnf(truthtellers_tell_truth,axiom,
( a_truth(X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ002-0.ax',truthtellers_tell_truth) ).
cnf(truths_are_told_by_truthtellers,axiom,
( a_truth(truthteller(X2))
| ~ a_truth(X1)
| ~ a_truth(says(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ002-0.ax',truths_are_told_by_truthtellers) ).
cnf(liars_are_told_by_liars,axiom,
( a_truth(X1)
| a_truth(liar(X2))
| ~ a_truth(says(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ002-0.ax',liars_are_told_by_liars) ).
cnf(not_both,axiom,
( ~ a_truth(truthteller(X1))
| ~ a_truth(liar(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ002-0.ax',not_both) ).
cnf(c_says_b_is_a_liar,hypothesis,
a_truth(says(c,liar(b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_says_b_is_a_liar) ).
cnf(a_mumbles,hypothesis,
a_truth(says(a,mumble)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_mumbles) ).
cnf(truthteller_or_liar,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ002-0.ax',truthteller_or_liar) ).
cnf(prove_c_is_a_truthteller,negated_conjecture,
~ a_truth(truthteller(c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_is_a_truthteller) ).
cnf(i_0_10,hypothesis,
a_truth(says(b,says(a,liar(a)))),
b_says_a_says_hes_a_liar,
[final] ).
cnf(i_0_11,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
liars_lie,
[final] ).
cnf(i_0_12,axiom,
( a_truth(X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2)) ),
truthtellers_tell_truth,
[final] ).
cnf(i_0_13,axiom,
( a_truth(truthteller(X2))
| ~ a_truth(X1)
| ~ a_truth(says(X2,X1)) ),
truths_are_told_by_truthtellers,
[final] ).
cnf(i_0_14,axiom,
( a_truth(X1)
| a_truth(liar(X2))
| ~ a_truth(says(X2,X1)) ),
liars_are_told_by_liars,
[final] ).
cnf(i_0_15,axiom,
( ~ a_truth(truthteller(X1))
| ~ a_truth(liar(X1)) ),
not_both,
[final] ).
cnf(i_0_16,hypothesis,
a_truth(says(c,liar(b))),
c_says_b_is_a_liar,
[final] ).
cnf(i_0_17,hypothesis,
a_truth(says(a,mumble)),
a_mumbles,
[final] ).
cnf(i_0_18,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1)) ),
truthteller_or_liar,
[final] ).
cnf(i_0_19,negated_conjecture,
~ a_truth(truthteller(c)),
prove_c_is_a_truthteller,
[final] ).
cnf(i_0_20,plain,
~ a_truth(liar(b)),
inference(scs_inference,[],[i_0_19,i_0_16,i_0_13]) ).
cnf(i_0_21,plain,
( ~ a_truth(says(X1,X2))
| a_truth(truthteller(X1))
| ~ a_truth(X2) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_22,plain,
a_truth(liar(c)),
inference(scs_inference,[],[i_0_19,i_0_16,i_0_13,i_0_14]) ).
cnf(i_0_23,plain,
( ~ a_truth(says(X1,X2))
| a_truth(liar(X1))
| a_truth(X2) ),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_24,plain,
a_truth(truthteller(b)),
inference(scs_inference,[],[i_0_19,i_0_16,i_0_13,i_0_14,i_0_18]) ).
cnf(i_0_25,plain,
( a_truth(liar(X1))
| a_truth(truthteller(X1)) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_26,plain,
( a_truth(mumble)
| ~ a_truth(truthteller(a)) ),
inference(scs_inference,[],[i_0_19,i_0_17,i_0_16,i_0_13,i_0_14,i_0_18,i_0_12]) ).
cnf(i_0_27,plain,
( ~ a_truth(says(X1,X2))
| ~ a_truth(truthteller(X1))
| a_truth(X2) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_28,plain,
a_truth(says(a,liar(a))),
inference(scs_inference,[],[i_0_24,i_0_10,i_0_12]) ).
cnf(i_0_29,plain,
( ~ a_truth(says(X1,X2))
| ~ a_truth(truthteller(X1))
| a_truth(X2) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_30,plain,
a_truth(liar(a)),
inference(scs_inference,[],[i_0_24,i_0_10,i_0_12,i_0_14]) ).
cnf(i_0_31,plain,
( ~ a_truth(says(X1,X2))
| a_truth(liar(X1))
| a_truth(X2) ),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_32,plain,
~ a_truth(truthteller(a)),
inference(scs_inference,[],[i_0_24,i_0_10,i_0_12,i_0_14,i_0_15]) ).
cnf(i_0_33,plain,
( ~ a_truth(liar(X1))
| ~ a_truth(truthteller(X1)) ),
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_34,plain,
~ a_truth(mumble),
inference(scs_inference,[],[i_0_24,i_0_10,i_0_17,i_0_12,i_0_14,i_0_15,i_0_11]) ).
cnf(i_0_35,plain,
( ~ a_truth(liar(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_36,plain,
$false,
inference(scs_inference,[],[i_0_24,i_0_10,i_0_17,i_0_12,i_0_14,i_0_15,i_0_11,i_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ032-1 : 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
% 0.17/0.33 % Computer : n007.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 01:33:24 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 0.27/1.62 % Version : CSE_E---1.7
% 0.27/1.62 % Problem : theBenchmark.p
% 0.27/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.27/1.62 % SZS output start CNFRefutation
% See solution above
% 0.27/1.66 % Total time : 1.271s
%------------------------------------------------------------------------------