%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ094^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 : Wed Sep 30 08:20:34 AM UTC 2026
% Result : Theorem 0.22s 0.28s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 1
% Syntax : Number of formulae : 46 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 315 ( 0 equ; 0 cnn)
% Maximal formula atoms : 50 ( 6 avg)
% Number of connectives : 895 ( 213 ~; 193 |; 76 &; 413 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 166 ( 0 ^; 166 !; 0 ?; 166 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
eats: $i > $i > $o ).
thf(decl_24,type,
grain: $i > $o ).
thf(decl_25,type,
animal: $i > $o ).
thf(decl_26,type,
snail: $i > $o ).
thf(decl_27,type,
sf: $i > $i ).
thf(decl_28,type,
plant: $i > $o ).
thf(decl_29,type,
bird: $i > $o ).
thf(decl_30,type,
wolf: $i > $o ).
thf(decl_31,type,
fox: $i > $o ).
thf(decl_32,type,
msmaller: $i > $i > $o ).
thf(decl_33,type,
a_grain: $i ).
thf(decl_34,type,
a_snail: $i ).
thf(decl_35,type,
a_bird: $i ).
thf(decl_36,type,
a_fox: $i ).
thf(decl_37,type,
a_wolf: $i ).
thf(cPUZ031_2,conjecture,
~ ( ! [X1: $i] :
( ( animal @ X1 )
| ~ ( wolf @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( fox @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( bird @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( snail @ X1 ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( snail @ a_snail )
& ( grain @ a_grain )
& ! [X1: $i] :
( ( plant @ X1 )
| ~ ( grain @ X1 ) )
& ! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ( eats @ X2 @ X3 )
| ( eats @ X2 @ X4 )
| ~ ( animal @ X2 )
| ~ ( plant @ X3 )
| ~ ( animal @ X4 )
| ~ ( plant @ X5 )
| ~ ( msmaller @ X4 @ X2 )
| ~ ( eats @ X4 @ X5 ) )
& ! [X4: $i,X6: $i] :
( ( msmaller @ X4 @ X6 )
| ~ ( snail @ X4 )
| ~ ( bird @ X6 ) )
& ! [X6: $i,X7: $i] :
( ( msmaller @ X6 @ X7 )
| ~ ( bird @ X6 )
| ~ ( fox @ X7 ) )
& ! [X7: $i,X8: $i] :
( ( msmaller @ X7 @ X8 )
| ~ ( fox @ X7 )
| ~ ( wolf @ X8 ) )
& ! [X7: $i,X8: $i] :
( ~ ( wolf @ X8 )
| ~ ( fox @ X7 )
| ~ ( eats @ X8 @ X7 ) )
& ! [X8: $i,X9: $i] :
( ~ ( wolf @ X8 )
| ~ ( grain @ X9 )
| ~ ( eats @ X8 @ X9 ) )
& ! [X6: $i,X4: $i] :
( ~ ( bird @ X6 )
| ~ ( snail @ X4 )
| ~ ( eats @ X6 @ X4 ) )
& ! [X4: $i] :
( ( plant @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X4: $i] :
( ( eats @ X4 @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X2: $i,X10: $i,X9: $i] :
( ~ ( animal @ X2 )
| ~ ( animal @ X10 )
| ~ ( grain @ X9 )
| ~ ( eats @ X2 @ X10 )
| ~ ( eats @ X10 @ X9 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.N9OpfKknAI/E---3.1_2091195.p',cPUZ031_2) ).
thf(c_0_1,negated_conjecture,
~ ~ ( ! [X1: $i] :
( ( animal @ X1 )
| ~ ( wolf @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( fox @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( bird @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( snail @ X1 ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( snail @ a_snail )
& ( grain @ a_grain )
& ! [X1: $i] :
( ( plant @ X1 )
| ~ ( grain @ X1 ) )
& ! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ( eats @ X2 @ X3 )
| ( eats @ X2 @ X4 )
| ~ ( animal @ X2 )
| ~ ( plant @ X3 )
| ~ ( animal @ X4 )
| ~ ( plant @ X5 )
| ~ ( msmaller @ X4 @ X2 )
| ~ ( eats @ X4 @ X5 ) )
& ! [X4: $i,X6: $i] :
( ( msmaller @ X4 @ X6 )
| ~ ( snail @ X4 )
| ~ ( bird @ X6 ) )
& ! [X6: $i,X7: $i] :
( ( msmaller @ X6 @ X7 )
| ~ ( bird @ X6 )
| ~ ( fox @ X7 ) )
& ! [X7: $i,X8: $i] :
( ( msmaller @ X7 @ X8 )
| ~ ( fox @ X7 )
| ~ ( wolf @ X8 ) )
& ! [X7: $i,X8: $i] :
( ~ ( wolf @ X8 )
| ~ ( fox @ X7 )
| ~ ( eats @ X8 @ X7 ) )
& ! [X8: $i,X9: $i] :
( ~ ( wolf @ X8 )
| ~ ( grain @ X9 )
| ~ ( eats @ X8 @ X9 ) )
& ! [X6: $i,X4: $i] :
( ~ ( bird @ X6 )
| ~ ( snail @ X4 )
| ~ ( eats @ X6 @ X4 ) )
& ! [X4: $i] :
( ( plant @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X4: $i] :
( ( eats @ X4 @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X2: $i,X10: $i,X9: $i] :
( ~ ( animal @ X2 )
| ~ ( animal @ X10 )
| ~ ( grain @ X9 )
| ~ ( eats @ X2 @ X10 )
| ~ ( eats @ X10 @ X9 ) ) ),
inference(assume_negation,[status(cth)],[cPUZ031_2]) ).
thf(c_0_2,negated_conjecture,
~ ~ ( ! [X1: $i] :
( ( animal @ X1 )
| ~ ( wolf @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( fox @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( bird @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( snail @ X1 ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( snail @ a_snail )
& ( grain @ a_grain )
& ! [X1: $i] :
( ( plant @ X1 )
| ~ ( grain @ X1 ) )
& ! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ( eats @ X2 @ X3 )
| ( eats @ X2 @ X4 )
| ~ ( animal @ X2 )
| ~ ( plant @ X3 )
| ~ ( animal @ X4 )
| ~ ( plant @ X5 )
| ~ ( msmaller @ X4 @ X2 )
| ~ ( eats @ X4 @ X5 ) )
& ! [X4: $i,X6: $i] :
( ( msmaller @ X4 @ X6 )
| ~ ( snail @ X4 )
| ~ ( bird @ X6 ) )
& ! [X6: $i,X7: $i] :
( ( msmaller @ X6 @ X7 )
| ~ ( bird @ X6 )
| ~ ( fox @ X7 ) )
& ! [X7: $i,X8: $i] :
( ( msmaller @ X7 @ X8 )
| ~ ( fox @ X7 )
| ~ ( wolf @ X8 ) )
& ! [X7: $i,X8: $i] :
( ~ ( wolf @ X8 )
| ~ ( fox @ X7 )
| ~ ( eats @ X8 @ X7 ) )
& ! [X8: $i,X9: $i] :
( ~ ( wolf @ X8 )
| ~ ( grain @ X9 )
| ~ ( eats @ X8 @ X9 ) )
& ! [X6: $i,X4: $i] :
( ~ ( bird @ X6 )
| ~ ( snail @ X4 )
| ~ ( eats @ X6 @ X4 ) )
& ! [X4: $i] :
( ( plant @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X4: $i] :
( ( eats @ X4 @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X2: $i,X10: $i,X9: $i] :
( ~ ( animal @ X2 )
| ~ ( animal @ X10 )
| ~ ( grain @ X9 )
| ~ ( eats @ X2 @ X10 )
| ~ ( eats @ X10 @ X9 ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X37: $i,X38: $i,X39: $i,X40: $i,X41: $i,X42: $i,X43: $i,X44: $i,X45: $i,X46: $i,X47: $i,X48: $i,X49: $i,X50: $i,X51: $i,X52: $i,X53: $i,X54: $i,X55: $i,X56: $i,X57: $i,X58: $i,X59: $i,X60: $i,X61: $i,X62: $i] :
( ( ( animal @ X37 )
| ~ ( wolf @ X37 ) )
& ( ( animal @ X38 )
| ~ ( fox @ X38 ) )
& ( ( animal @ X39 )
| ~ ( bird @ X39 ) )
& ( ( animal @ X40 )
| ~ ( snail @ X40 ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( snail @ a_snail )
& ( grain @ a_grain )
& ( ( plant @ X41 )
| ~ ( grain @ X41 ) )
& ( ( eats @ X42 @ X43 )
| ( eats @ X42 @ X44 )
| ~ ( animal @ X42 )
| ~ ( plant @ X43 )
| ~ ( animal @ X44 )
| ~ ( plant @ X45 )
| ~ ( msmaller @ X44 @ X42 )
| ~ ( eats @ X44 @ X45 ) )
& ( ( msmaller @ X46 @ X47 )
| ~ ( snail @ X46 )
| ~ ( bird @ X47 ) )
& ( ( msmaller @ X48 @ X49 )
| ~ ( bird @ X48 )
| ~ ( fox @ X49 ) )
& ( ( msmaller @ X50 @ X51 )
| ~ ( fox @ X50 )
| ~ ( wolf @ X51 ) )
& ( ~ ( wolf @ X53 )
| ~ ( fox @ X52 )
| ~ ( eats @ X53 @ X52 ) )
& ( ~ ( wolf @ X54 )
| ~ ( grain @ X55 )
| ~ ( eats @ X54 @ X55 ) )
& ( ~ ( bird @ X56 )
| ~ ( snail @ X57 )
| ~ ( eats @ X56 @ X57 ) )
& ( ( plant @ ( sf @ X58 ) )
| ~ ( snail @ X58 ) )
& ( ( eats @ X59 @ ( sf @ X59 ) )
| ~ ( snail @ X59 ) )
& ( ~ ( animal @ X60 )
| ~ ( animal @ X61 )
| ~ ( grain @ X62 )
| ~ ( eats @ X60 @ X61 )
| ~ ( eats @ X61 @ X62 ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
thf(c_0_4,negated_conjecture,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( eats @ X1 @ X2 )
| ( eats @ X1 @ X3 )
| ~ ( animal @ X1 )
| ~ ( plant @ X2 )
| ~ ( animal @ X3 )
| ~ ( plant @ X4 )
| ~ ( msmaller @ X3 @ X1 )
| ~ ( eats @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i,X2: $i] :
( ( msmaller @ X1 @ X2 )
| ~ ( snail @ X1 )
| ~ ( bird @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i] :
( ( animal @ X1 )
| ~ ( bird @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X1: $i] :
( ( animal @ X1 )
| ~ ( snail @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
! [X1: $i,X2: $i] :
( ~ ( bird @ X1 )
| ~ ( snail @ X2 )
| ~ ( eats @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_9,negated_conjecture,
! [X4: $i,X3: $i,X2: $i,X1: $i] :
( ( eats @ X1 @ X2 )
| ~ ( eats @ X3 @ X4 )
| ~ ( plant @ X4 )
| ~ ( plant @ X2 )
| ~ ( snail @ X3 )
| ~ ( bird @ X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]),c_0_8]) ).
thf(c_0_10,negated_conjecture,
! [X1: $i] :
( ( eats @ X1 @ ( sf @ X1 ) )
| ~ ( snail @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_11,negated_conjecture,
! [X1: $i] :
( ( plant @ ( sf @ X1 ) )
| ~ ( snail @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_12,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( eats @ X1 @ X2 )
| ~ ( plant @ X2 )
| ~ ( snail @ X3 )
| ~ ( bird @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
thf(c_0_13,negated_conjecture,
! [X1: $i] :
( ( plant @ X1 )
| ~ ( grain @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_14,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( eats @ X1 @ X2 )
| ~ ( snail @ X3 )
| ~ ( bird @ X1 )
| ~ ( grain @ X2 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_15,negated_conjecture,
snail @ a_snail,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_16,negated_conjecture,
! [X1: $i,X2: $i] :
( ( eats @ X1 @ X2 )
| ~ ( bird @ X1 )
| ~ ( grain @ X2 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_17,negated_conjecture,
bird @ a_bird,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_18,negated_conjecture,
! [X1: $i,X2: $i] :
( ( msmaller @ X1 @ X2 )
| ~ ( bird @ X1 )
| ~ ( fox @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_19,negated_conjecture,
! [X1: $i] :
( ( animal @ X1 )
| ~ ( fox @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_20,negated_conjecture,
! [X1: $i] :
( ( eats @ a_bird @ X1 )
| ~ ( grain @ X1 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_21,negated_conjecture,
grain @ a_grain,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_22,negated_conjecture,
! [X4: $i,X3: $i,X2: $i,X1: $i] :
( ( eats @ X1 @ X2 )
| ( eats @ X1 @ X3 )
| ~ ( eats @ X2 @ X4 )
| ~ ( plant @ X4 )
| ~ ( plant @ X3 )
| ~ ( bird @ X2 )
| ~ ( fox @ X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_18]),c_0_19]),c_0_6]) ).
thf(c_0_23,negated_conjecture,
eats @ a_bird @ a_grain,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_24,negated_conjecture,
! [X2: $i,X1: $i] :
( ( eats @ X1 @ a_bird )
| ( eats @ X1 @ X2 )
| ~ ( plant @ a_grain )
| ~ ( plant @ X2 )
| ~ ( fox @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17])]) ).
thf(c_0_25,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ~ ( animal @ X1 )
| ~ ( animal @ X2 )
| ~ ( grain @ X3 )
| ~ ( eats @ X1 @ X2 )
| ~ ( eats @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_26,negated_conjecture,
animal @ a_bird,
inference(spm,[status(thm)],[c_0_6,c_0_17]) ).
thf(c_0_27,negated_conjecture,
fox @ a_fox,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_28,negated_conjecture,
! [X2: $i,X1: $i] :
( ( eats @ X1 @ a_bird )
| ( eats @ X1 @ X2 )
| ~ ( plant @ X2 )
| ~ ( fox @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_13]),c_0_21])]) ).
thf(c_0_29,negated_conjecture,
! [X1: $i] :
( ~ ( eats @ X1 @ a_bird )
| ~ ( animal @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_21]),c_0_26])]) ).
thf(c_0_30,negated_conjecture,
animal @ a_fox,
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
thf(c_0_31,negated_conjecture,
! [X1: $i,X2: $i] :
( ( eats @ X1 @ a_bird )
| ( eats @ X1 @ X2 )
| ~ ( fox @ X1 )
| ~ ( grain @ X2 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_13]) ).
thf(c_0_32,negated_conjecture,
~ ( eats @ a_fox @ a_bird ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_33,negated_conjecture,
! [X1: $i,X2: $i] :
( ( msmaller @ X1 @ X2 )
| ~ ( fox @ X1 )
| ~ ( wolf @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_34,negated_conjecture,
! [X1: $i] :
( ( animal @ X1 )
| ~ ( wolf @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_35,negated_conjecture,
! [X1: $i,X2: $i] :
( ~ ( wolf @ X1 )
| ~ ( fox @ X2 )
| ~ ( eats @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_36,negated_conjecture,
! [X1: $i] :
( ( eats @ a_fox @ X1 )
| ~ ( grain @ X1 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_27]),c_0_32]) ).
thf(c_0_37,negated_conjecture,
! [X1: $i,X2: $i,X4: $i,X3: $i] :
( ( eats @ X1 @ X2 )
| ~ ( eats @ X3 @ X4 )
| ~ ( plant @ X4 )
| ~ ( plant @ X2 )
| ~ ( wolf @ X1 )
| ~ ( fox @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_33]),c_0_34]),c_0_19]),c_0_35]) ).
thf(c_0_38,negated_conjecture,
eats @ a_fox @ a_grain,
inference(spm,[status(thm)],[c_0_36,c_0_21]) ).
thf(c_0_39,negated_conjecture,
! [X2: $i,X1: $i] :
( ( eats @ X1 @ X2 )
| ~ ( plant @ a_grain )
| ~ ( plant @ X2 )
| ~ ( wolf @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_27])]) ).
thf(c_0_40,negated_conjecture,
! [X2: $i,X1: $i] :
( ( eats @ X1 @ X2 )
| ~ ( plant @ X2 )
| ~ ( wolf @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_13]),c_0_21])]) ).
thf(c_0_41,negated_conjecture,
! [X1: $i,X2: $i] :
( ~ ( wolf @ X1 )
| ~ ( grain @ X2 )
| ~ ( eats @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_42,negated_conjecture,
! [X1: $i,X2: $i] :
( ~ ( wolf @ X1 )
| ~ ( grain @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_13]),c_0_41]) ).
thf(c_0_43,negated_conjecture,
wolf @ a_wolf,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_44,negated_conjecture,
! [X1: $i] :
~ ( grain @ X1 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
thf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_21,c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ094^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:21:36 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.N9OpfKknAI/E---3.1_2091195.p
% 0.22/0.28 % Version: 3.5.1-ho
% 0.22/0.28 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.28 % Starting full_lambda_5 with 300s (1) cores
% 0.22/0.28 % Starting new_ho_10_unif with 300s (1) cores
% 0.22/0.28 % new_ho_10_unif with pid 2091232 completed with status 0
% 0.22/0.28 % Result found by new_ho_10_unif
% 0.22/0.28 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.28 % Starting full_lambda_5 with 300s (1) cores
% 0.22/0.28 % Starting new_ho_10_unif with 300s (1) cores
% 0.22/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.28 % No SInE strategy applied
% 0.22/0.28 % Search class: HGHNF-FFSS11-SFFFFFNN
% 0.22/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.28 % SubtermCWHack with pid 2091234 completed with status 0
% 0.22/0.28 % Result found by SubtermCWHack
% 0.22/0.28 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.22/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.22/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.22/0.28 % Starting full_lambda_5 with 300s (1) cores
% 0.22/0.28 % Starting new_ho_10_unif with 300s (1) cores
% 0.22/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.28 % No SInE strategy applied
% 0.22/0.28 % Search class: HGHNF-FFSS11-SFFFFFNN
% 0.22/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.28 % Preprocessing time : 0.001 s
% 0.22/0.28
% 0.22/0.28 % Proof found!
% 0.22/0.28 % SZS status Theorem
% 0.22/0.28 % SZS output start CNFRefutation
% See solution above
% 0.22/0.28 % Parsed axioms : 16
% 0.22/0.28 % Removed by relevancy pruning/SinE : 0
% 0.22/0.28 % Initial clauses : 35
% 0.22/0.28 % Removed in clause preprocessing : 15
% 0.22/0.28 % Initial clauses in saturation : 20
% 0.22/0.28 % Processed clauses : 86
% 0.22/0.28 % ...of these trivial : 0
% 0.22/0.28 % ...subsumed : 4
% 0.22/0.28 % ...remaining for further processing : 82
% 0.22/0.28 % Other redundant clauses eliminated : 0
% 0.22/0.28 % Clauses deleted for lack of memory : 0
% 0.22/0.28 % Backward-subsumed : 29
% 0.22/0.28 % Backward-rewritten : 1
% 0.22/0.28 % Generated clauses : 81
% 0.22/0.28 % ...of the previous two non-redundant : 80
% 0.22/0.28 % ...aggressively subsumed : 0
% 0.22/0.28 % Contextual simplify-reflections : 17
% 0.22/0.28 % Paramodulations : 80
% 0.22/0.28 % Factorizations : 0
% 0.22/0.28 % NegExts : 0
% 0.22/0.28 % Equation resolutions : 0
% 0.22/0.28 % Disequality decompositions : 0
% 0.22/0.28 % Total rewrite steps : 13
% 0.22/0.28 % ...of those cached : 7
% 0.22/0.28 % Propositional unsat checks : 0
% 0.22/0.28 % Propositional check models : 0
% 0.22/0.28 % Propositional check unsatisfiable : 0
% 0.22/0.28 % Propositional clauses : 0
% 0.22/0.28 % Propositional clauses after purity: 0
% 0.22/0.28 % Propositional unsat core size : 0
% 0.22/0.28 % Propositional preprocessing time : 0.000
% 0.22/0.28 % Propositional encoding time : 0.000
% 0.22/0.28 % Propositional solver time : 0.000
% 0.22/0.28 % Success case prop preproc time : 0.000
% 0.22/0.28 % Success case prop encoding time : 0.000
% 0.22/0.28 % Success case prop solver time : 0.000
% 0.22/0.28 % Current number of processed clauses : 51
% 0.22/0.28 % Positive orientable unit clauses : 10
% 0.22/0.28 % Positive unorientable unit clauses: 0
% 0.22/0.28 % Negative unit clauses : 14
% 0.22/0.28 % Non-unit-clauses : 27
% 0.22/0.28 % Current number of unprocessed clauses: 13
% 0.22/0.28 % ...number of literals in the above : 83
% 0.22/0.28 % Current number of archived formulas : 0
% 0.22/0.28 % Current number of archived clauses : 31
% 0.22/0.28 % Clause-clause subsumption calls (NU) : 221
% 0.22/0.28 % Rec. Clause-clause subsumption calls : 122
% 0.22/0.28 % Non-unit clause-clause subsumptions : 33
% 0.22/0.28 % Unit Clause-clause subsumption calls : 220
% 0.22/0.28 % Rewrite failures with RHS unbound : 0
% 0.22/0.28 % BW rewrite match attempts : 1
% 0.22/0.28 % BW rewrite match successes : 1
% 0.22/0.28 % Condensation attempts : 0
% 0.22/0.28 % Condensation successes : 0
% 0.22/0.28 % Termbank termtop insertions : 3794
% 0.22/0.28 % Search garbage collected termcells : 397
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.007 s
% 0.22/0.28 % System time : 0.004 s
% 0.22/0.28 % Total time : 0.011 s
% 0.22/0.28 % Maximum resident set size: 3656 pages
% 0.22/0.28
% 0.22/0.28 % -------------------------------------------------
% 0.22/0.28 % User time : 0.009 s
% 0.22/0.28 % System time : 0.009 s
% 0.22/0.28 % Total time : 0.018 s
% 0.22/0.28 % Maximum resident set size: 4864 pages
% 0.22/0.28 % E exiting
%------------------------------------------------------------------------------