TSTP Solution File: ALG045+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ALG045+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : Mon May 20 17:59:36 EDT 2024
% Result : Unsatisfiable 0.78s 0.55s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 109 ( 31 unt; 0 def)
% Number of atoms : 892 ( 802 equ)
% Maximal formula atoms : 256 ( 8 avg)
% Number of connectives : 1060 ( 277 ~; 468 |; 313 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax4,axiom,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(ax6,axiom,
( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 )
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(ax28,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(e0,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(ax2,axiom,
( op(unit,e0) = e0
& op(e0,unit) = e0
& op(unit,e1) = e1
& op(e1,unit) = e1
& op(unit,e2) = e2
& op(e2,unit) = e2
& op(unit,e3) = e3
& op(e3,unit) = e3
& ( unit = e0
| unit = e1
| unit = e2
| unit = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
( ( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e0,e0) = e2
| op(e0,e0) = e3 )
& ( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 )
& ( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3 )
& ( op(e0,e3) = e0
| op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e3) = e3 )
& ( op(e1,e0) = e0
| op(e1,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3 )
& ( op(e1,e1) = e0
| op(e1,e1) = e1
| op(e1,e1) = e2
| op(e1,e1) = e3 )
& ( op(e1,e2) = e0
| op(e1,e2) = e1
| op(e1,e2) = e2
| op(e1,e2) = e3 )
& ( op(e1,e3) = e0
| op(e1,e3) = e1
| op(e1,e3) = e2
| op(e1,e3) = e3 )
& ( op(e2,e0) = e0
| op(e2,e0) = e1
| op(e2,e0) = e2
| op(e2,e0) = e3 )
& ( op(e2,e1) = e0
| op(e2,e1) = e1
| op(e2,e1) = e2
| op(e2,e1) = e3 )
& ( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e2,e2) = e2
| op(e2,e2) = e3 )
& ( op(e2,e3) = e0
| op(e2,e3) = e1
| op(e2,e3) = e2
| op(e2,e3) = e3 )
& ( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 )
& ( op(e3,e1) = e0
| op(e3,e1) = e1
| op(e3,e1) = e2
| op(e3,e1) = e3 )
& ( op(e3,e2) = e0
| op(e3,e2) = e1
| op(e3,e2) = e2
| op(e3,e2) = e3 )
& ( op(e3,e3) = e0
| op(e3,e3) = e1
| op(e3,e3) = e2
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(ax5,axiom,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax21,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e3,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(ax3,axiom,
( ( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0 )
& ( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0 )
& ( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1 )
& ( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1 )
& ( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2 )
& ( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 )
& ( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3 )
& ( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3 )
& ( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0 )
& ( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 )
& ( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1 )
& ( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1 )
& ( op(e1,e0) = e2
| op(e1,e1) = e2
| op(e1,e2) = e2
| op(e1,e3) = e2 )
& ( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 )
& ( op(e1,e0) = e3
| op(e1,e1) = e3
| op(e1,e2) = e3
| op(e1,e3) = e3 )
& ( op(e0,e1) = e3
| op(e1,e1) = e3
| op(e2,e1) = e3
| op(e3,e1) = e3 )
& ( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0 )
& ( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0 )
& ( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1 )
& ( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1 )
& ( op(e2,e0) = e2
| op(e2,e1) = e2
| op(e2,e2) = e2
| op(e2,e3) = e2 )
& ( op(e0,e2) = e2
| op(e1,e2) = e2
| op(e2,e2) = e2
| op(e3,e2) = e2 )
& ( op(e2,e0) = e3
| op(e2,e1) = e3
| op(e2,e2) = e3
| op(e2,e3) = e3 )
& ( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3 )
& ( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0 )
& ( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0 )
& ( op(e3,e0) = e1
| op(e3,e1) = e1
| op(e3,e2) = e1
| op(e3,e3) = e1 )
& ( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1 )
& ( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 )
& ( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 )
& ( op(e3,e0) = e3
| op(e3,e1) = e3
| op(e3,e2) = e3
| op(e3,e3) = e3 )
& ( op(e0,e3) = e3
| op(e1,e3) = e3
| op(e2,e3) = e3
| op(e3,e3) = e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(ax13,axiom,
~ ( e1 = op(e0,e0)
& e2 = op(e3,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(ax12,axiom,
~ ( e0 = op(e3,e3)
& e2 = op(e1,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(c_0_10,plain,
( epred1_0
<=> ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 ) ) ),
introduced(definition) ).
fof(c_0_11,plain,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
inference(fof_simplification,[status(thm)],[ax4]) ).
fof(c_0_12,axiom,
( epred1_0
| ( op(e0,e0) = e3
& op(e1,e1) = e3
& op(e2,e2) = e3
& op(e3,e3) = e3 ) ),
inference(apply_def,[status(thm)],[ax6,c_0_10]) ).
fof(c_0_13,plain,
( op(e0,e0) != op(e1,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e1,e0) != op(e3,e0)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e3,e1)
& op(e2,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e3,e2)
& op(e2,e2) != op(e3,e2)
& op(e0,e3) != op(e1,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e1,e1)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e1,e3)
& op(e2,e0) != op(e2,e1)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e1) != op(e2,e3)
& op(e2,e2) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e1) != op(e3,e3)
& op(e3,e2) != op(e3,e3) ),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
( ( op(e0,e0) = e3
| epred1_0 )
& ( op(e1,e1) = e3
| epred1_0 )
& ( op(e2,e2) = e3
| epred1_0 )
& ( op(e3,e3) = e3
| epred1_0 ) ),
inference(distribute,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
( e3 != op(e1,e1)
| e2 != op(e0,e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).
cnf(c_0_16,plain,
op(unit,e1) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_17,plain,
( unit = e0
| unit = e1
| unit = e2
| unit = e3 ),
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_18,plain,
op(e0,e1) != op(e1,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( op(e1,e1) = e3
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
( e3 != op(e1,e1)
| e2 != op(e0,e1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
op(e0,unit) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_22,plain,
op(e0,e1) != op(e3,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
( op(e3,e1) = e1
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
( epred1_0
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
( op(e0,e1) = e0
| op(e0,e1) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_26,plain,
( epred1_0
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_27,plain,
op(e0,e1) != op(e0,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_28,plain,
( op(e0,e3) = e0
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_29,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e0,e1) != e1 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
( op(e0,e1) = e1
| op(e0,e1) = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,plain,
( unit = e0
| unit = e1
| unit = e2
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_32,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
inference(fof_simplification,[status(thm)],[ax5]) ).
cnf(c_0_33,plain,
op(e2,unit) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_34,plain,
( unit = e2
| unit = e1
| unit = e0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
fof(c_0_35,plain,
( e0 != e1
& e0 != e2
& e0 != e3
& e1 != e2
& e1 != e3
& e2 != e3 ),
inference(fof_nnf,[status(thm)],[c_0_32]) ).
cnf(c_0_36,plain,
( op(e2,e2) = e3
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_37,plain,
( op(e2,e2) = e2
| unit = e0
| unit = e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,plain,
e2 != e3,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
op(e1,unit) = e1,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_40,plain,
( unit = e1
| unit = e0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_41,plain,
( op(e1,e1) = e1
| unit = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,plain,
e1 != e3,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_43,plain,
( epred1_0
=> ( ( op(e0,e0) = e0
& op(e1,e1) = e0
& op(e2,e2) = e0
& op(e3,e3) = e0 )
| ( op(e0,e0) = e1
& op(e1,e1) = e1
& op(e2,e2) = e1
& op(e3,e3) = e1 )
| ( op(e0,e0) = e2
& op(e1,e1) = e2
& op(e2,e2) = e2
& op(e3,e3) = e2 ) ) ),
inference(split_equiv,[status(thm)],[c_0_10]) ).
cnf(c_0_44,plain,
( unit = e0
| epred1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_41]),c_0_42]) ).
fof(c_0_45,plain,
( ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e0,e0) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e1,e1) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e2,e2) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e1,e1) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e2,e2) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e0,e0) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e1,e1) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e2,e2) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 )
& ( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).
cnf(c_0_46,plain,
( op(e0,e0) = e3
| epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_47,plain,
( op(e0,e0) = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_44]) ).
cnf(c_0_48,plain,
e0 != e3,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49,plain,
op(e3,unit) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_50,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,plain,
epred1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_52,plain,
( op(e3,e3) = e3
| unit = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_49,c_0_17]) ).
cnf(c_0_53,plain,
( op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).
cnf(c_0_54,plain,
( op(e3,e3) = e0
| op(e3,e3) = e1
| unit = e0
| unit = e1
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_38]) ).
cnf(c_0_55,plain,
( op(e3,e3) = e0
| unit = e0
| unit = e1
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_54]),c_0_42]) ).
fof(c_0_56,plain,
( e2 != op(e1,e1)
| e0 != op(e3,e1) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).
cnf(c_0_57,plain,
( op(e1,e1) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,plain,
( unit = e0
| unit = e1
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_55]),c_0_48]) ).
cnf(c_0_59,plain,
( e2 != op(e1,e1)
| e0 != op(e3,e1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_60,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_61,plain,
( op(e2,e2) = e1
| op(e2,e2) = e0
| op(e1,e1) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_51])]) ).
cnf(c_0_62,plain,
( op(e2,e2) = e2
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_33,c_0_58]) ).
cnf(c_0_63,plain,
e1 != e2,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_64,plain,
e0 != e2,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_65,plain,
op(e0,e1) != op(e0,e2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_66,plain,
( op(e0,e2) = e0
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_21,c_0_58]) ).
cnf(c_0_67,plain,
( op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0
| op(e1,e1) != e2 ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,plain,
( op(e1,e1) = e2
| unit = e0
| unit = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]) ).
cnf(c_0_69,plain,
( unit = e0
| unit = e1
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
( op(e2,e1) = e1
| unit = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_16,c_0_58]) ).
cnf(c_0_71,plain,
( op(e2,e1) = e0
| unit = e1
| unit = e0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_64]),c_0_69]) ).
cnf(c_0_72,plain,
e0 != e1,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_73,plain,
( e1 != op(e0,e0)
| e2 != op(e3,e0) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])]) ).
cnf(c_0_74,plain,
( op(e1,e1) = e2
| op(e0,e0) = e1
| op(e1,e1) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_75,plain,
( unit = e0
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_76,plain,
op(unit,e2) = e2,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_77,plain,
( e1 != op(e0,e0)
| e2 != op(e3,e0) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_78,plain,
( op(e0,e0) = e2
| op(e1,e0) = e2
| op(e2,e0) = e2
| op(e3,e0) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_79,plain,
( op(e1,e1) = e2
| op(e1,e1) = e0
| op(e0,e0) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_51])]) ).
cnf(c_0_80,plain,
( op(e1,e1) = e1
| unit = e0 ),
inference(spm,[status(thm)],[c_0_39,c_0_75]) ).
cnf(c_0_81,plain,
op(e1,e0) != op(e1,e2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_82,plain,
( op(e1,e2) = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_76,c_0_75]) ).
cnf(c_0_83,plain,
op(e2,e0) != op(e2,e1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_84,plain,
( op(e2,e1) = e2
| unit = e0 ),
inference(spm,[status(thm)],[c_0_33,c_0_75]) ).
cnf(c_0_85,plain,
( op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_86,plain,
( op(e0,e0) = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_63]),c_0_72]) ).
cnf(c_0_87,plain,
( unit = e0
| op(e1,e0) != e2 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,plain,
( unit = e0
| op(e2,e0) != e2 ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_89,plain,
( op(e3,e3) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_90,plain,
( e0 != op(e3,e3)
| e2 != op(e1,e3) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])]) ).
cnf(c_0_91,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| op(e3,e3) = e0
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_92,plain,
op(unit,e0) = e0,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_93,plain,
unit = e0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_63]),c_0_87]),c_0_88]) ).
cnf(c_0_94,plain,
op(e1,e3) != op(e3,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_95,plain,
( op(e3,e3) = e2
| op(e3,e3) = e0
| op(e0,e0) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_51])]) ).
cnf(c_0_96,plain,
( e0 != op(e3,e3)
| e2 != op(e1,e3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_97,plain,
op(unit,e3) = e3,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_98,plain,
( op(e3,e3) = e0
| op(e0,e0) = e2
| op(e0,e0) = e1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_51])]) ).
cnf(c_0_99,plain,
op(e0,e0) = e0,
inference(rw,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_100,plain,
( op(e0,e0) = e1
| op(e1,e3) != e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_101,plain,
op(e2,e0) != op(e2,e3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_102,plain,
op(e2,e0) = e2,
inference(rw,[status(thm)],[c_0_33,c_0_93]) ).
cnf(c_0_103,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(split_conjunct,[status(thm)],[ax3]) ).
cnf(c_0_104,plain,
op(e0,e3) = e3,
inference(rw,[status(thm)],[c_0_97,c_0_93]) ).
cnf(c_0_105,plain,
op(e3,e3) = e0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_99]),c_0_64]),c_0_72]) ).
cnf(c_0_106,plain,
op(e1,e3) != e2,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_99]),c_0_72]) ).
cnf(c_0_107,plain,
op(e2,e3) != e2,
inference(rw,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104]),c_0_38]),c_0_105]),c_0_106]),c_0_107]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : ALG045+1 : TPTP v8.2.0. Released v2.7.0.
% 0.05/0.10 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n012.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat May 18 23:10:07 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.55 # Version: 3.1.0
% 0.78/0.55 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.78/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.78/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.78/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.78/0.55 # Starting sh5l with 300s (1) cores
% 0.78/0.55 # sh5l with pid 25333 completed with status 8
% 0.78/0.55 # new_bool_1 with pid 25332 completed with status 8
% 0.78/0.55 # new_bool_3 with pid 25331 completed with status 8
% 0.78/0.55 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 25330 completed with status 0
% 0.78/0.55 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.78/0.55 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.78/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.78/0.55 # No SInE strategy applied
% 0.78/0.55 # Search class: FGHSF-FSLM22-SFFFFFNN
% 0.78/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.78/0.55 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 811s (1) cores
% 0.78/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.78/0.55 # Starting new_bool_3 with 136s (1) cores
% 0.78/0.55 # Starting new_bool_1 with 136s (1) cores
% 0.78/0.55 # Starting sh5l with 136s (1) cores
% 0.78/0.55 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 25346 completed with status 0
% 0.78/0.55 # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.78/0.55 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.78/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.78/0.55 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.78/0.55 # No SInE strategy applied
% 0.78/0.55 # Search class: FGHSF-FSLM22-SFFFFFNN
% 0.78/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.78/0.55 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 811s (1) cores
% 0.78/0.55 # Preprocessing time : 0.002 s
% 0.78/0.55 # Presaturation interreduction done
% 0.78/0.55
% 0.78/0.55 # Proof found!
% 0.78/0.55 # SZS status Unsatisfiable
% 0.78/0.55 # SZS output start CNFRefutation
% See solution above
% 0.78/0.55 # Parsed axioms : 30
% 0.78/0.55 # Removed by relevancy pruning/SinE : 0
% 0.78/0.55 # Initial clauses : 203
% 0.78/0.55 # Removed in clause preprocessing : 0
% 0.78/0.55 # Initial clauses in saturation : 203
% 0.78/0.55 # Processed clauses : 2657
% 0.78/0.55 # ...of these trivial : 103
% 0.78/0.55 # ...subsumed : 1458
% 0.78/0.55 # ...remaining for further processing : 1095
% 0.78/0.55 # Other redundant clauses eliminated : 0
% 0.78/0.55 # Clauses deleted for lack of memory : 0
% 0.78/0.55 # Backward-subsumed : 203
% 0.78/0.55 # Backward-rewritten : 605
% 0.78/0.55 # Generated clauses : 6319
% 0.78/0.55 # ...of the previous two non-redundant : 6545
% 0.78/0.55 # ...aggressively subsumed : 0
% 0.78/0.55 # Contextual simplify-reflections : 38
% 0.78/0.55 # Paramodulations : 6180
% 0.78/0.55 # Factorizations : 103
% 0.78/0.55 # NegExts : 0
% 0.78/0.55 # Equation resolutions : 0
% 0.78/0.55 # Disequality decompositions : 0
% 0.78/0.55 # Total rewrite steps : 943
% 0.78/0.55 # ...of those cached : 931
% 0.78/0.55 # Propositional unsat checks : 0
% 0.78/0.55 # Propositional check models : 0
% 0.78/0.55 # Propositional check unsatisfiable : 0
% 0.78/0.55 # Propositional clauses : 0
% 0.78/0.55 # Propositional clauses after purity: 0
% 0.78/0.55 # Propositional unsat core size : 0
% 0.78/0.55 # Propositional preprocessing time : 0.000
% 0.78/0.55 # Propositional encoding time : 0.000
% 0.78/0.55 # Propositional solver time : 0.000
% 0.78/0.55 # Success case prop preproc time : 0.000
% 0.78/0.55 # Success case prop encoding time : 0.000
% 0.78/0.55 # Success case prop solver time : 0.000
% 0.78/0.55 # Current number of processed clauses : 48
% 0.78/0.55 # Positive orientable unit clauses : 12
% 0.78/0.55 # Positive unorientable unit clauses: 0
% 0.78/0.55 # Negative unit clauses : 36
% 0.78/0.55 # Non-unit-clauses : 0
% 0.78/0.55 # Current number of unprocessed clauses: 4138
% 0.78/0.55 # ...number of literals in the above : 22992
% 0.78/0.55 # Current number of archived formulas : 0
% 0.78/0.55 # Current number of archived clauses : 1047
% 0.78/0.55 # Clause-clause subsumption calls (NU) : 10099
% 0.78/0.55 # Rec. Clause-clause subsumption calls : 4628
% 0.78/0.55 # Non-unit clause-clause subsumptions : 656
% 0.78/0.55 # Unit Clause-clause subsumption calls : 1055
% 0.78/0.55 # Rewrite failures with RHS unbound : 0
% 0.78/0.55 # BW rewrite match attempts : 12
% 0.78/0.55 # BW rewrite match successes : 12
% 0.78/0.55 # Condensation attempts : 0
% 0.78/0.55 # Condensation successes : 0
% 0.78/0.55 # Termbank termtop insertions : 70578
% 0.78/0.55 # Search garbage collected termcells : 551
% 0.78/0.55
% 0.78/0.55 # -------------------------------------------------
% 0.78/0.55 # User time : 0.118 s
% 0.78/0.55 # System time : 0.008 s
% 0.78/0.55 # Total time : 0.126 s
% 0.78/0.55 # Maximum resident set size: 2032 pages
% 0.78/0.55
% 0.78/0.55 # -------------------------------------------------
% 0.78/0.55 # User time : 0.612 s
% 0.78/0.55 # System time : 0.039 s
% 0.78/0.55 # Total time : 0.651 s
% 0.78/0.55 # Maximum resident set size: 1744 pages
% 0.78/0.55 % E---3.1 exiting
% 0.78/0.55 % E exiting
%------------------------------------------------------------------------------