%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ013-1 : 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 : n012.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 0.14s 1.55s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 20
% Syntax : Number of clauses : 49 ( 12 unt; 16 nHn; 49 RR)
% Number of literals : 110 ( 0 equ; 54 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(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(c8,axiom,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).
cnf(c7,axiom,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).
cnf(c10,axiom,
( some_irish_fight_not
| ~ some_english_sing
| ~ some_monitors_are_not_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).
cnf(c6,axiom,
( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
cnf(c2,axiom,
( some_welsh_eat
| ~ some_scotch_dance
| ~ some_irish_fight ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).
cnf(c4,axiom,
( some_irish_fight
| ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).
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(c1,axiom,
( some_monitors_are_awake
| ~ some_english_sing
| ~ some_english_sing_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).
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(c5,axiom,
( some_scotch_dance
| some_welsh_eat_not
| ~ some_germans_play ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).
cnf(c17,axiom,
( some_germans_play
| some_germans_play_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c17) ).
cnf(c16,axiom,
( some_welsh_eat
| some_welsh_eat_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c16) ).
cnf(c15,axiom,
( some_irish_fight
| some_irish_fight_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c15) ).
cnf(c14,axiom,
( some_scotch_dance
| some_scotch_dance_not ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c14) ).
cnf(c13,axiom,
( some_monitors_are_not_awake
| some_monitors_are_awake ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c13) ).
cnf(c12,axiom,
( some_english_sing_not
| some_english_sing ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c12) ).
cnf(prove_some_monitors_are_awake,negated_conjecture,
~ some_monitors_are_awake,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_some_monitors_are_awake) ).
cnf(c19,axiom,
some_scotch_dance_not,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c19) ).
cnf(c18,axiom,
some_english_sing,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c18) ).
cnf(i_0_20,axiom,
( some_english_sing_not
| ~ some_english_sing
| ~ some_scotch_dance_not
| ~ some_germans_play ),
c9,
[final] ).
cnf(i_0_21,axiom,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
c8,
[final] ).
cnf(i_0_22,axiom,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
c7,
[final] ).
cnf(i_0_23,axiom,
( some_irish_fight_not
| ~ some_english_sing
| ~ some_monitors_are_not_awake ),
c10,
[final] ).
cnf(i_0_24,axiom,
( some_germans_play
| ~ some_scotch_dance_not
| ~ some_irish_fight_not ),
c6,
[final] ).
cnf(i_0_25,axiom,
( some_welsh_eat
| ~ some_scotch_dance
| ~ some_irish_fight ),
c2,
[final] ).
cnf(i_0_26,axiom,
( some_irish_fight
| ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake ),
c4,
[final] ).
cnf(i_0_27,axiom,
( some_scotch_dance
| ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling ),
c11,
[final] ).
cnf(i_0_28,axiom,
( some_monitors_are_awake
| ~ some_english_sing
| ~ some_english_sing_not ),
c1,
[final] ).
cnf(i_0_29,axiom,
( some_germans_play_not
| some_of_the_eleven_are_not_oiling
| ~ some_germans_play ),
c3,
[final] ).
cnf(i_0_30,axiom,
( some_scotch_dance
| some_welsh_eat_not
| ~ some_germans_play ),
c5,
[final] ).
cnf(i_0_31,axiom,
( some_germans_play
| some_germans_play_not ),
c17,
[final] ).
cnf(i_0_32,axiom,
( some_welsh_eat
| some_welsh_eat_not ),
c16,
[final] ).
cnf(i_0_33,axiom,
( some_irish_fight
| some_irish_fight_not ),
c15,
[final] ).
cnf(i_0_34,axiom,
( some_scotch_dance
| some_scotch_dance_not ),
c14,
[final] ).
cnf(i_0_35,axiom,
( some_monitors_are_not_awake
| some_monitors_are_awake ),
c13,
[final] ).
cnf(i_0_36,axiom,
( some_english_sing_not
| some_english_sing ),
c12,
[final] ).
cnf(i_0_37,negated_conjecture,
~ some_monitors_are_awake,
prove_some_monitors_are_awake,
[final] ).
cnf(i_0_38,axiom,
some_scotch_dance_not,
c19,
[final] ).
cnf(i_0_39,axiom,
some_english_sing,
c18,
[final] ).
cnf(i_0_40,plain,
( some_english_sing_not
| ~ some_germans_play ),
inference(scs_inference,[],[i_0_39,i_0_38,i_0_20]) ).
cnf(i_0_41,plain,
( some_irish_fight_not
| ~ some_monitors_are_not_awake ),
inference(scs_inference,[],[i_0_39,i_0_23]) ).
cnf(i_0_42,plain,
( some_germans_play
| ~ some_irish_fight_not ),
inference(scs_inference,[],[i_0_38,i_0_24]) ).
cnf(i_0_43,plain,
~ some_english_sing_not,
inference(scs_inference,[],[i_0_37,i_0_39,i_0_28]) ).
cnf(i_0_44,plain,
some_monitors_are_not_awake,
inference(scs_inference,[],[i_0_37,i_0_35]) ).
cnf(i_0_45,plain,
~ some_germans_play,
inference(scs_inference,[],[i_0_43,i_0_40]) ).
cnf(i_0_46,plain,
some_germans_play_not,
inference(scs_inference,[],[i_0_43,i_0_40,i_0_31]) ).
cnf(i_0_47,plain,
~ some_irish_fight_not,
inference(scs_inference,[],[i_0_43,i_0_40,i_0_31,i_0_42]) ).
cnf(i_0_48,plain,
$false,
inference(scs_inference,[],[i_0_43,i_0_44,i_0_40,i_0_31,i_0_42,i_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : PUZ013-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.07 % 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
% 0.08/0.28 % Computer : n012.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue May 5 01:32:31 EDT 2026
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % start to proof: theBenchmark
% 0.14/1.55 % Version : CSE_E---1.7
% 0.14/1.55 % Problem : theBenchmark.p
% 0.14/1.55 % SZS status Unsatisfiable for theBenchmark.p
% 0.14/1.55 % SZS output start CNFRefutation
% See solution above
% 0.14/1.57 % Total time : 1.266s
%------------------------------------------------------------------------------