%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV199+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:00:47 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 328 ( 196 equ)
% Maximal formula atoms : 72 ( 10 avg)
% Number of connectives : 373 ( 77 ~; 62 |; 213 &)
% ( 1 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 32 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0010,conjecture,
( ( ! [X4,X20] :
( ( leq(X20,pred(pv5))
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(z_defuse,X4,X20) = use )
& ! [X14,X18] :
( ( leq(X18,pred(pv5))
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(u_defuse,X14,X18) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [X21,X22] :
( ( leq(X22,pv5)
& leq(X21,n2)
& leq(n0,X22)
& leq(n0,X21) )
=> ( ( ~ ( pv5 = X22
& n2 = X21 )
& ~ ( pv5 = X22
& n1 = X21 )
& ~ ( pv5 = X22
& n0 = X21 ) )
=> a_select3(z_defuse,X21,X22) = use ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).
fof(finite_domain_0,axiom,
! [X1] :
( ( leq(X1,n0)
& leq(n0,X1) )
=> X1 = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(finite_domain_2,axiom,
! [X1] :
( ( leq(X1,n2)
& leq(n0,X1) )
=> ( X1 = n2
| X1 = n1
| X1 = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_2) ).
fof(c_0_3,plain,
( epred2_0
<=> ( ! [X4,X20] :
( ( leq(X20,pred(pv5))
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(z_defuse,X4,X20) = use )
& ! [X14,X18] :
( ( leq(X18,pred(pv5))
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(u_defuse,X14,X18) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
introduced(definition) ).
fof(c_0_4,negated_conjecture,
~ ( ( ! [X4,X20] :
( ( leq(X20,pred(pv5))
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(z_defuse,X4,X20) = use )
& ! [X14,X18] :
( ( leq(X18,pred(pv5))
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(u_defuse,X14,X18) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [X21,X22] :
( ( leq(X22,pv5)
& leq(X21,n2)
& leq(n0,X22)
& leq(n0,X21) )
=> ( ( ~ ( pv5 = X22
& n2 = X21 )
& ~ ( pv5 = X22
& n1 = X21 )
& ~ ( pv5 = X22
& n0 = X21 ) )
=> a_select3(z_defuse,X21,X22) = use ) ) ),
inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0010]) ).
fof(c_0_5,plain,
( epred2_0
=> ( ! [X4,X20] :
( ( leq(X20,pred(pv5))
& leq(X4,n2)
& leq(n0,X20)
& leq(n0,X4) )
=> a_select3(z_defuse,X4,X20) = use )
& ! [X14,X18] :
( ( leq(X18,pred(pv5))
& leq(X14,n2)
& leq(n0,X18)
& leq(n0,X14) )
=> a_select3(u_defuse,X14,X18) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
inference(split_equiv,[status(thm)],[c_0_3]) ).
fof(c_0_6,negated_conjecture,
~ ( epred2_0
=> ! [X21,X22] :
( ( leq(X22,pv5)
& leq(X21,n2)
& leq(n0,X22)
& leq(n0,X21) )
=> ( ( ~ ( pv5 = X22
& n2 = X21 )
& ~ ( pv5 = X22
& n1 = X21 )
& ~ ( pv5 = X22
& n0 = X21 ) )
=> a_select3(z_defuse,X21,X22) = use ) ) ),
inference(apply_def,[status(thm)],[c_0_4,c_0_3]) ).
fof(c_0_7,plain,
! [X202,X203,X204,X205] :
( ( ~ epred2_0
| a_select3(z_defuse,X204,X205) = use
| ~ leq(X205,pred(pv5))
| ~ leq(X204,n2)
| ~ leq(n0,X205)
| ~ leq(n0,X204) )
& ( ~ epred2_0
| a_select3(u_defuse,X202,X203) = use
| ~ leq(X203,pred(pv5))
| ~ leq(X202,n2)
| ~ leq(n0,X203)
| ~ leq(n0,X202) )
& ( ~ epred2_0
| leq(pv5,n998) )
& ( ~ epred2_0
| leq(pv5,n0) )
& ( ~ epred2_0
| leq(n0,pv5) )
& ( ~ epred2_0
| a_select2(xinit_noise_defuse,n5) = use )
& ( ~ epred2_0
| a_select2(xinit_noise_defuse,n4) = use )
& ( ~ epred2_0
| a_select2(xinit_noise_defuse,n3) = use )
& ( ~ epred2_0
| a_select2(xinit_noise_defuse,n2) = use )
& ( ~ epred2_0
| a_select2(xinit_noise_defuse,n1) = use )
& ( ~ epred2_0
| a_select2(xinit_noise_defuse,n0) = use )
& ( ~ epred2_0
| a_select2(xinit_mean_defuse,n5) = use )
& ( ~ epred2_0
| a_select2(xinit_mean_defuse,n4) = use )
& ( ~ epred2_0
| a_select2(xinit_mean_defuse,n3) = use )
& ( ~ epred2_0
| a_select2(xinit_mean_defuse,n2) = use )
& ( ~ epred2_0
| a_select2(xinit_mean_defuse,n1) = use )
& ( ~ epred2_0
| a_select2(xinit_mean_defuse,n0) = use )
& ( ~ epred2_0
| a_select2(xinit_defuse,n5) = use )
& ( ~ epred2_0
| a_select2(xinit_defuse,n4) = use )
& ( ~ epred2_0
| a_select2(xinit_defuse,n3) = use )
& ( ~ epred2_0
| a_select3(u_defuse,n2,n0) = use )
& ( ~ epred2_0
| a_select3(u_defuse,n1,n0) = use )
& ( ~ epred2_0
| a_select3(u_defuse,n0,n0) = use )
& ( ~ epred2_0
| a_select2(sigma_defuse,n5) = use )
& ( ~ epred2_0
| a_select2(sigma_defuse,n4) = use )
& ( ~ epred2_0
| a_select2(sigma_defuse,n3) = use )
& ( ~ epred2_0
| a_select2(sigma_defuse,n2) = use )
& ( ~ epred2_0
| a_select2(sigma_defuse,n1) = use )
& ( ~ epred2_0
| a_select2(sigma_defuse,n0) = use )
& ( ~ epred2_0
| a_select2(rho_defuse,n2) = use )
& ( ~ epred2_0
| a_select2(rho_defuse,n1) = use )
& ( ~ epred2_0
| a_select2(rho_defuse,n0) = use ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_8,negated_conjecture,
( a_select3(z_defuse,esk24_0,esk25_0) != use
& ( pv5 != esk25_0
| n2 != esk24_0 )
& ( pv5 != esk25_0
| n1 != esk24_0 )
& ( pv5 != esk25_0
| n0 != esk24_0 )
& leq(esk25_0,pv5)
& leq(esk24_0,n2)
& leq(n0,esk25_0)
& leq(n0,esk24_0)
& epred2_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_9,plain,
! [X190] :
( X190 = n0
| ~ leq(X190,n0)
| ~ leq(n0,X190) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_0])])]) ).
cnf(c_0_10,plain,
( ~ epred2_0
| leq(pv5,n0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
epred2_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( ~ epred2_0
| leq(n0,pv5) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( ~ leq(X1,n0)
| ~ leq(n0,X1)
| X1 = n0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
leq(pv5,n0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_15,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11])]) ).
cnf(c_0_16,negated_conjecture,
leq(esk25_0,pv5),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
pv5 = n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
leq(esk25_0,n0),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
leq(n0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_20,plain,
! [X192] :
( X192 = n2
| X192 = n1
| X192 = n0
| ~ leq(X192,n2)
| ~ leq(n0,X192) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_2])])]) ).
cnf(c_0_21,negated_conjecture,
( pv5 != esk25_0
| n2 != esk24_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,negated_conjecture,
esk25_0 = n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_19])]) ).
cnf(c_0_23,negated_conjecture,
( pv5 != esk25_0
| n1 != esk24_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,negated_conjecture,
( pv5 != esk25_0
| n0 != esk24_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,plain,
( ~ leq(X1,n2)
| ~ leq(n0,X1)
| X1 = n2
| X1 = n1
| X1 = n0 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
leq(esk24_0,n2),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_27,negated_conjecture,
leq(n0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,negated_conjecture,
esk24_0 != n2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_17]),c_0_22])]) ).
cnf(c_0_29,negated_conjecture,
esk24_0 != n1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_17]),c_0_22])]) ).
cnf(c_0_30,negated_conjecture,
esk24_0 != n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_17]),c_0_22])]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]),c_0_28]),c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV199+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:40:14 UTC 2026
% 0.16/0.37 % CPUTime :
% 0.16/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.16/0.46 % Version: 3.5.1
% 0.16/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.46 % Starting sh5l with 300s (1) cores
% 0.16/0.46 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2700383 completed with status 0
% 0.16/0.46 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.46 % No SInE strategy applied
% 0.16/0.46 % Search class: FGHSM-FSLM33-DFFFFFNN
% 0.16/0.46 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.46 % Starting U----_206b_01_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.46 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.16/0.46 % Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.16/0.46 % SubtermCWHack with pid 2700390 completed with status 0
% 0.16/0.46 % Result found by SubtermCWHack
% 0.16/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.46 % No SInE strategy applied
% 0.16/0.46 % Search class: FGHSM-FSLM33-DFFFFFNN
% 0.16/0.46 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.46 % Preprocessing time : 0.004 s
% 0.16/0.46
% 0.16/0.46 % Proof found!
% 0.16/0.46 % SZS status Theorem
% 0.16/0.46 % SZS output start CNFRefutation
% See solution above
% 0.16/0.46 % Parsed axioms : 92
% 0.16/0.46 % Removed by relevancy pruning/SinE : 0
% 0.16/0.46 % Initial clauses : 240
% 0.16/0.46 % Removed in clause preprocessing : 2
% 0.16/0.46 % Initial clauses in saturation : 238
% 0.16/0.46 % Processed clauses : 154
% 0.16/0.46 % ...of these trivial : 4
% 0.16/0.46 % ...subsumed : 3
% 0.16/0.46 % ...remaining for further processing : 147
% 0.16/0.46 % Other redundant clauses eliminated : 0
% 0.16/0.46 % Clauses deleted for lack of memory : 0
% 0.16/0.46 % Backward-subsumed : 0
% 0.16/0.46 % Backward-rewritten : 12
% 0.16/0.46 % Generated clauses : 133
% 0.16/0.46 % ...of the previous two non-redundant : 89
% 0.16/0.46 % ...aggressively subsumed : 0
% 0.16/0.46 % Contextual simplify-reflections : 0
% 0.16/0.46 % Paramodulations : 131
% 0.16/0.46 % Factorizations : 2
% 0.16/0.46 % NegExts : 0
% 0.16/0.46 % Equation resolutions : 0
% 0.16/0.46 % Disequality decompositions : 0
% 0.16/0.46 % Total rewrite steps : 121
% 0.16/0.46 % ...of those cached : 85
% 0.16/0.46 % Propositional unsat checks : 0
% 0.16/0.46 % Propositional check models : 0
% 0.16/0.46 % Propositional check unsatisfiable : 0
% 0.16/0.46 % Propositional clauses : 0
% 0.16/0.46 % Propositional clauses after purity: 0
% 0.16/0.46 % Propositional unsat core size : 0
% 0.16/0.46 % Propositional preprocessing time : 0.000
% 0.16/0.46 % Propositional encoding time : 0.000
% 0.16/0.46 % Propositional solver time : 0.000
% 0.16/0.46 % Success case prop preproc time : 0.000
% 0.16/0.46 % Success case prop encoding time : 0.000
% 0.16/0.46 % Success case prop solver time : 0.000
% 0.16/0.46 % Current number of processed clauses : 135
% 0.16/0.46 % Positive orientable unit clauses : 107
% 0.16/0.46 % Positive unorientable unit clauses: 1
% 0.16/0.46 % Negative unit clauses : 7
% 0.16/0.46 % Non-unit-clauses : 20
% 0.16/0.46 % Current number of unprocessed clauses: 173
% 0.16/0.46 % ...number of literals in the above : 807
% 0.16/0.46 % Current number of archived formulas : 0
% 0.16/0.46 % Current number of archived clauses : 14
% 0.16/0.46 % Clause-clause subsumption calls (NU) : 104
% 0.16/0.46 % Rec. Clause-clause subsumption calls : 70
% 0.16/0.46 % Non-unit clause-clause subsumptions : 2
% 0.16/0.46 % Unit Clause-clause subsumption calls : 25
% 0.16/0.46 % Rewrite failures with RHS unbound : 0
% 0.16/0.46 % BW rewrite match attempts : 10
% 0.16/0.46 % BW rewrite match successes : 6
% 0.16/0.46 % Condensation attempts : 0
% 0.16/0.46 % Condensation successes : 0
% 0.16/0.46 % Termbank termtop insertions : 15851
% 0.16/0.46 % Search garbage collected termcells : 2376
% 0.16/0.46
% 0.16/0.46 % -------------------------------------------------
% 0.16/0.46 % User time : 0.019 s
% 0.16/0.46 % System time : 0.009 s
% 0.16/0.46 % Total time : 0.027 s
% 0.16/0.46 % Maximum resident set size: 4220 pages
% 0.16/0.46
% 0.16/0.46 % -------------------------------------------------
% 0.16/0.46 % User time : 0.058 s
% 0.16/0.46 % System time : 0.028 s
% 0.16/0.46 % Total time : 0.086 s
% 0.16/0.46 % Maximum resident set size: 4608 pages
% 0.16/0.46 % E exiting
%------------------------------------------------------------------------------