%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ014-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.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 05:02:16 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.72s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of clauses : 47 ( 16 unt; 7 nHn; 47 RR)
% Number of literals : 102 ( 0 equ; 56 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c6,axiom,
( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
cnf(c19,axiom,
some_scotch_dance_not,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c19) ).
cnf(c10,axiom,
( some_irish_fight_not
| ~ some_english_sing
| ~ some_monitors_are_not_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
cnf(c18,axiom,
some_english_sing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c18) ).
cnf(prove_all_monitors_are_awake,negated_conjecture,
some_monitors_are_not_awake,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_all_monitors_are_awake) ).
cnf(c1,axiom,
( some_monitors_are_awake
| ~ some_english_sing
| ~ some_english_sing_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
cnf(c9,axiom,
( some_english_sing_not
| ~ some_english_sing
| ~ some_scotch_dance_not
| ~ some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).
cnf(c4,axiom,
( some_irish_fight
| ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
cnf(c7,axiom,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).
cnf(c2,axiom,
( some_welsh_eat
| ~ some_scotch_dance
| ~ some_irish_fight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).
cnf(c8,axiom,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).
cnf(c5,axiom,
( some_scotch_dance
| some_welsh_eat_not
| ~ some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).
cnf(c3,axiom,
( some_germans_play_not
| some_of_the_eleven_are_not_oiling
| ~ some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).
cnf(c17,axiom,
( some_germans_play
| some_germans_play_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c17) ).
cnf(c11,axiom,
( some_scotch_dance
| ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).
cnf(c_0_15,axiom,
( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not ),
c6 ).
cnf(c_0_16,axiom,
some_scotch_dance_not,
c19 ).
cnf(c_0_17,axiom,
( some_irish_fight_not
| ~ some_english_sing
| ~ some_monitors_are_not_awake ),
c10 ).
cnf(c_0_18,axiom,
some_english_sing,
c18 ).
cnf(c_0_19,negated_conjecture,
some_monitors_are_not_awake,
prove_all_monitors_are_awake ).
cnf(c_0_20,plain,
( some_germans_play
| ~ some_irish_fight_not ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_21,plain,
some_irish_fight_not,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_22,axiom,
( some_monitors_are_awake
| ~ some_english_sing
| ~ some_english_sing_not ),
c1 ).
cnf(c_0_23,axiom,
( some_english_sing_not
| ~ some_english_sing
| ~ some_scotch_dance_not
| ~ some_germans_play ),
c9 ).
cnf(c_0_24,plain,
some_germans_play,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).
cnf(c_0_25,axiom,
( some_irish_fight
| ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake ),
c4 ).
cnf(c_0_26,plain,
( some_monitors_are_awake
| ~ some_english_sing_not ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_18])]) ).
cnf(c_0_27,plain,
some_english_sing_not,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_18]),c_0_24]),c_0_16])]) ).
cnf(c_0_28,plain,
( some_irish_fight
| ~ some_monitors_are_awake ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_19])]) ).
cnf(c_0_29,plain,
some_monitors_are_awake,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
cnf(c_0_30,axiom,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
c7 ).
cnf(c_0_31,axiom,
( some_welsh_eat
| ~ some_scotch_dance
| ~ some_irish_fight ),
c2 ).
cnf(c_0_32,plain,
some_irish_fight,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).
cnf(c_0_33,plain,
( ~ some_welsh_eat
| ~ some_scotch_dance ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_29])]) ).
cnf(c_0_34,axiom,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
c8 ).
cnf(c_0_35,axiom,
( some_scotch_dance
| some_welsh_eat_not
| ~ some_germans_play ),
c5 ).
cnf(c_0_36,plain,
~ some_scotch_dance,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]),c_0_33]) ).
cnf(c_0_37,axiom,
( some_germans_play_not
| some_of_the_eleven_are_not_oiling
| ~ some_germans_play ),
c3 ).
cnf(c_0_38,axiom,
( some_germans_play
| some_germans_play_not ),
c17 ).
cnf(c_0_39,plain,
( ~ some_welsh_eat_not
| ~ some_germans_play_not ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_32])]) ).
cnf(c_0_40,plain,
some_welsh_eat_not,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_24])]),c_0_36]) ).
cnf(c_0_41,axiom,
( some_scotch_dance
| ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling ),
c11 ).
cnf(c_0_42,plain,
( some_of_the_eleven_are_not_oiling
| some_germans_play_not ),
inference(csr,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,plain,
~ some_germans_play_not,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_44,plain,
( some_scotch_dance
| ~ some_of_the_eleven_are_not_oiling ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_29])]) ).
cnf(c_0_45,plain,
some_of_the_eleven_are_not_oiling,
inference(sr,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ014-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n027.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:32:50 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.24/1.72 % Version : CSE_E---1.7
% 1.24/1.72 % Problem : theBenchmark.p
% 1.24/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.72 % SZS output start CNFRefutation
% See solution above
% 1.24/1.72 % Total time : 1.369s
%------------------------------------------------------------------------------