%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ001+1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n021.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 05:02:03 PM UTC 2026
% Result : Theorem 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 18 unt; 0 def)
% Number of atoms : 89 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 73 ( 33 ~; 28 |; 2 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 39 ( 0 sgn 25 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel55_4,axiom,
! [X1,X2] :
( killed(X1,X2)
=> hates(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_4) ).
fof(pel55_1,axiom,
? [X1] :
( lives(X1)
& killed(X1,agatha) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_1) ).
fof(pel55_3,axiom,
! [X1] :
( lives(X1)
=> ( X1 = agatha
| X1 = butler
| X1 = charles ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_3) ).
fof(pel55_10,axiom,
! [X1] :
? [X2] : ~ hates(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_10) ).
fof(pel55_5,axiom,
! [X1,X2] :
( killed(X1,X2)
=> ~ richer(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_5) ).
fof(pel55_8,axiom,
! [X1] :
( ~ richer(X1,agatha)
=> hates(butler,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_8) ).
fof(pel55_6,axiom,
! [X1] :
( hates(agatha,X1)
=> ~ hates(charles,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_6) ).
fof(pel55_9,axiom,
! [X1] :
( hates(agatha,X1)
=> hates(butler,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_9) ).
fof(pel55_7,axiom,
! [X1] :
( X1 != butler
=> hates(agatha,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_7) ).
fof(pel55_11,axiom,
agatha != butler,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55_11) ).
fof(pel55,conjecture,
killed(agatha,agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel55) ).
fof(c_0_11,plain,
! [X17,X18] :
( ~ killed(X17,X18)
| hates(X17,X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel55_4])]) ).
fof(c_0_12,plain,
( lives(esk1_0)
& killed(esk1_0,agatha) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel55_1])]) ).
fof(c_0_13,plain,
! [X16] :
( ~ lives(X16)
| X16 = agatha
| X16 = butler
| X16 = charles ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel55_3])]) ).
fof(c_0_14,plain,
! [X1] :
? [X2] : ~ hates(X1,X2),
inference(fof_simplification,[status(thm)],[pel55_10]) ).
fof(c_0_15,plain,
! [X1,X2] :
( killed(X1,X2)
=> ~ richer(X1,X2) ),
inference(fof_simplification,[status(thm)],[pel55_5]) ).
fof(c_0_16,plain,
! [X1] :
( ~ richer(X1,agatha)
=> hates(butler,X1) ),
inference(fof_simplification,[status(thm)],[pel55_8]) ).
fof(c_0_17,plain,
! [X1] :
( hates(agatha,X1)
=> ~ hates(charles,X1) ),
inference(fof_simplification,[status(thm)],[pel55_6]) ).
cnf(c_0_18,plain,
( hates(X1,X2)
| ~ killed(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
killed(esk1_0,agatha),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( X1 = agatha
| X1 = butler
| X1 = charles
| ~ lives(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
lives(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,plain,
! [X25] : ~ hates(X25,esk2_1(X25)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_14])]) ).
fof(c_0_23,plain,
! [X24] :
( ~ hates(agatha,X24)
| hates(butler,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel55_9])]) ).
fof(c_0_24,plain,
! [X19,X20] :
( ~ killed(X19,X20)
| ~ richer(X19,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
fof(c_0_25,plain,
! [X23] :
( richer(X23,agatha)
| hates(butler,X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).
fof(c_0_26,plain,
! [X21] :
( ~ hates(agatha,X21)
| ~ hates(charles,X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
cnf(c_0_27,plain,
hates(esk1_0,agatha),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_28,plain,
( esk1_0 = charles
| esk1_0 = butler
| esk1_0 = agatha ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_29,plain,
~ hates(X1,esk2_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( hates(butler,X1)
| ~ hates(agatha,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_31,plain,
! [X22] :
( X22 = butler
| hates(agatha,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel55_7])]) ).
cnf(c_0_32,plain,
( ~ killed(X1,X2)
| ~ richer(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( richer(X1,agatha)
| hates(butler,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
( ~ hates(agatha,X1)
| ~ hates(charles,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( esk1_0 = agatha
| esk1_0 = butler
| hates(charles,agatha) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
~ hates(agatha,esk2_1(butler)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( X1 = butler
| hates(agatha,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,plain,
( hates(butler,X1)
| ~ killed(X1,agatha) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
( esk1_0 = butler
| esk1_0 = agatha
| ~ hates(agatha,agatha) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
agatha != butler,
inference(split_conjunct,[status(thm)],[pel55_11]) ).
cnf(c_0_41,plain,
esk2_1(butler) = butler,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
hates(butler,esk1_0),
inference(spm,[status(thm)],[c_0_38,c_0_19]) ).
cnf(c_0_43,plain,
( esk1_0 = agatha
| esk1_0 = butler ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_40]) ).
cnf(c_0_44,plain,
~ hates(butler,butler),
inference(spm,[status(thm)],[c_0_29,c_0_41]) ).
fof(c_0_45,negated_conjecture,
~ killed(agatha,agatha),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[pel55])]) ).
cnf(c_0_46,plain,
esk1_0 = agatha,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_47,negated_conjecture,
~ killed(agatha,agatha),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_48,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_46]),c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ001+1 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n021.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 01:33:10 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Theorem for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.372s
%------------------------------------------------------------------------------