%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ031^5 : 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 08:20:32 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 43 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 352 ( 0 equ; 0 cnn)
% Maximal formula atoms : 63 ( 8 avg)
% Number of connectives : 1004 ( 228 ~; 209 |; 100 &; 467 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 62 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 18 usr; 7 con; 0-2 aty)
% Number of variables : 183 ( 0 ^; 183 !; 0 ?; 183 :)
% 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,
caterpillar: $i > $o ).
thf(decl_30,type,
cf: $i > $i ).
thf(decl_31,type,
bird: $i > $o ).
thf(decl_32,type,
wolf: $i > $o ).
thf(decl_33,type,
fox: $i > $o ).
thf(decl_34,type,
msmaller: $i > $i > $o ).
thf(decl_35,type,
a_grain: $i ).
thf(decl_36,type,
a_snail: $i ).
thf(decl_37,type,
a_caterpillar: $i ).
thf(decl_38,type,
a_bird: $i ).
thf(decl_39,type,
a_fox: $i ).
thf(decl_40,type,
a_wolf: $i ).
thf(cPUZ031_1,conjecture,
~ ( ! [X1: $i] :
( ( animal @ X1 )
| ~ ( wolf @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( fox @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( bird @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( caterpillar @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( snail @ X1 ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( caterpillar @ a_caterpillar )
& ( 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 ) )
& ! [X6: $i,X7: $i] :
( ( msmaller @ X6 @ X7 )
| ~ ( caterpillar @ X6 )
| ~ ( bird @ X7 ) )
& ! [X4: $i,X7: $i] :
( ( msmaller @ X4 @ X7 )
| ~ ( snail @ X4 )
| ~ ( bird @ X7 ) )
& ! [X7: $i,X8: $i] :
( ( msmaller @ X7 @ X8 )
| ~ ( bird @ X7 )
| ~ ( fox @ X8 ) )
& ! [X8: $i,X9: $i] :
( ( msmaller @ X8 @ X9 )
| ~ ( fox @ X8 )
| ~ ( wolf @ X9 ) )
& ! [X8: $i,X9: $i] :
( ~ ( wolf @ X9 )
| ~ ( fox @ X8 )
| ~ ( eats @ X9 @ X8 ) )
& ! [X9: $i,X10: $i] :
( ~ ( wolf @ X9 )
| ~ ( grain @ X10 )
| ~ ( eats @ X9 @ X10 ) )
& ! [X7: $i,X6: $i] :
( ( eats @ X7 @ X6 )
| ~ ( bird @ X7 )
| ~ ( caterpillar @ X6 ) )
& ! [X7: $i,X4: $i] :
( ~ ( bird @ X7 )
| ~ ( snail @ X4 )
| ~ ( eats @ X7 @ X4 ) )
& ! [X6: $i] :
( ( plant @ ( cf @ X6 ) )
| ~ ( caterpillar @ X6 ) )
& ! [X6: $i] :
( ( eats @ X6 @ ( cf @ X6 ) )
| ~ ( caterpillar @ X6 ) )
& ! [X4: $i] :
( ( plant @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X4: $i] :
( ( eats @ X4 @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X2: $i,X11: $i,X10: $i] :
( ~ ( animal @ X2 )
| ~ ( animal @ X11 )
| ~ ( grain @ X10 )
| ~ ( eats @ X2 @ X11 )
| ~ ( eats @ X11 @ X10 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.K8JY8BjpDK/E---3.1_2088954.p',cPUZ031_1) ).
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 )
| ~ ( caterpillar @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( snail @ X1 ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( caterpillar @ a_caterpillar )
& ( 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 ) )
& ! [X6: $i,X7: $i] :
( ( msmaller @ X6 @ X7 )
| ~ ( caterpillar @ X6 )
| ~ ( bird @ X7 ) )
& ! [X4: $i,X7: $i] :
( ( msmaller @ X4 @ X7 )
| ~ ( snail @ X4 )
| ~ ( bird @ X7 ) )
& ! [X7: $i,X8: $i] :
( ( msmaller @ X7 @ X8 )
| ~ ( bird @ X7 )
| ~ ( fox @ X8 ) )
& ! [X8: $i,X9: $i] :
( ( msmaller @ X8 @ X9 )
| ~ ( fox @ X8 )
| ~ ( wolf @ X9 ) )
& ! [X8: $i,X9: $i] :
( ~ ( wolf @ X9 )
| ~ ( fox @ X8 )
| ~ ( eats @ X9 @ X8 ) )
& ! [X9: $i,X10: $i] :
( ~ ( wolf @ X9 )
| ~ ( grain @ X10 )
| ~ ( eats @ X9 @ X10 ) )
& ! [X7: $i,X6: $i] :
( ( eats @ X7 @ X6 )
| ~ ( bird @ X7 )
| ~ ( caterpillar @ X6 ) )
& ! [X7: $i,X4: $i] :
( ~ ( bird @ X7 )
| ~ ( snail @ X4 )
| ~ ( eats @ X7 @ X4 ) )
& ! [X6: $i] :
( ( plant @ ( cf @ X6 ) )
| ~ ( caterpillar @ X6 ) )
& ! [X6: $i] :
( ( eats @ X6 @ ( cf @ X6 ) )
| ~ ( caterpillar @ X6 ) )
& ! [X4: $i] :
( ( plant @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X4: $i] :
( ( eats @ X4 @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X2: $i,X11: $i,X10: $i] :
( ~ ( animal @ X2 )
| ~ ( animal @ X11 )
| ~ ( grain @ X10 )
| ~ ( eats @ X2 @ X11 )
| ~ ( eats @ X11 @ X10 ) ) ),
inference(assume_negation,[status(cth)],[cPUZ031_1]) ).
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 )
| ~ ( caterpillar @ X1 ) )
& ! [X1: $i] :
( ( animal @ X1 )
| ~ ( snail @ X1 ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( caterpillar @ a_caterpillar )
& ( 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 ) )
& ! [X6: $i,X7: $i] :
( ( msmaller @ X6 @ X7 )
| ~ ( caterpillar @ X6 )
| ~ ( bird @ X7 ) )
& ! [X4: $i,X7: $i] :
( ( msmaller @ X4 @ X7 )
| ~ ( snail @ X4 )
| ~ ( bird @ X7 ) )
& ! [X7: $i,X8: $i] :
( ( msmaller @ X7 @ X8 )
| ~ ( bird @ X7 )
| ~ ( fox @ X8 ) )
& ! [X8: $i,X9: $i] :
( ( msmaller @ X8 @ X9 )
| ~ ( fox @ X8 )
| ~ ( wolf @ X9 ) )
& ! [X8: $i,X9: $i] :
( ~ ( wolf @ X9 )
| ~ ( fox @ X8 )
| ~ ( eats @ X9 @ X8 ) )
& ! [X9: $i,X10: $i] :
( ~ ( wolf @ X9 )
| ~ ( grain @ X10 )
| ~ ( eats @ X9 @ X10 ) )
& ! [X7: $i,X6: $i] :
( ( eats @ X7 @ X6 )
| ~ ( bird @ X7 )
| ~ ( caterpillar @ X6 ) )
& ! [X7: $i,X4: $i] :
( ~ ( bird @ X7 )
| ~ ( snail @ X4 )
| ~ ( eats @ X7 @ X4 ) )
& ! [X6: $i] :
( ( plant @ ( cf @ X6 ) )
| ~ ( caterpillar @ X6 ) )
& ! [X6: $i] :
( ( eats @ X6 @ ( cf @ X6 ) )
| ~ ( caterpillar @ X6 ) )
& ! [X4: $i] :
( ( plant @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X4: $i] :
( ( eats @ X4 @ ( sf @ X4 ) )
| ~ ( snail @ X4 ) )
& ! [X2: $i,X11: $i,X10: $i] :
( ~ ( animal @ X2 )
| ~ ( animal @ X11 )
| ~ ( grain @ X10 )
| ~ ( eats @ X2 @ X11 )
| ~ ( eats @ X11 @ X10 ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [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,X63: $i,X64: $i,X65: $i,X66: $i,X67: $i,X68: $i,X69: $i,X70: $i,X71: $i,X72: $i,X73: $i,X74: $i,X75: $i,X76: $i,X77: $i] :
( ( ( animal @ X45 )
| ~ ( wolf @ X45 ) )
& ( ( animal @ X46 )
| ~ ( fox @ X46 ) )
& ( ( animal @ X47 )
| ~ ( bird @ X47 ) )
& ( ( animal @ X48 )
| ~ ( caterpillar @ X48 ) )
& ( ( animal @ X49 )
| ~ ( snail @ X49 ) )
& ( wolf @ a_wolf )
& ( fox @ a_fox )
& ( bird @ a_bird )
& ( caterpillar @ a_caterpillar )
& ( snail @ a_snail )
& ( grain @ a_grain )
& ( ( plant @ X50 )
| ~ ( grain @ X50 ) )
& ( ( eats @ X51 @ X52 )
| ( eats @ X51 @ X53 )
| ~ ( animal @ X51 )
| ~ ( plant @ X52 )
| ~ ( animal @ X53 )
| ~ ( plant @ X54 )
| ~ ( msmaller @ X53 @ X51 )
| ~ ( eats @ X53 @ X54 ) )
& ( ( msmaller @ X55 @ X56 )
| ~ ( caterpillar @ X55 )
| ~ ( bird @ X56 ) )
& ( ( msmaller @ X57 @ X58 )
| ~ ( snail @ X57 )
| ~ ( bird @ X58 ) )
& ( ( msmaller @ X59 @ X60 )
| ~ ( bird @ X59 )
| ~ ( fox @ X60 ) )
& ( ( msmaller @ X61 @ X62 )
| ~ ( fox @ X61 )
| ~ ( wolf @ X62 ) )
& ( ~ ( wolf @ X64 )
| ~ ( fox @ X63 )
| ~ ( eats @ X64 @ X63 ) )
& ( ~ ( wolf @ X65 )
| ~ ( grain @ X66 )
| ~ ( eats @ X65 @ X66 ) )
& ( ( eats @ X67 @ X68 )
| ~ ( bird @ X67 )
| ~ ( caterpillar @ X68 ) )
& ( ~ ( bird @ X69 )
| ~ ( snail @ X70 )
| ~ ( eats @ X69 @ X70 ) )
& ( ( plant @ ( cf @ X71 ) )
| ~ ( caterpillar @ X71 ) )
& ( ( eats @ X72 @ ( cf @ X72 ) )
| ~ ( caterpillar @ X72 ) )
& ( ( plant @ ( sf @ X73 ) )
| ~ ( snail @ X73 ) )
& ( ( eats @ X74 @ ( sf @ X74 ) )
| ~ ( snail @ X74 ) )
& ( ~ ( animal @ X75 )
| ~ ( animal @ X76 )
| ~ ( grain @ X77 )
| ~ ( eats @ X75 @ X76 )
| ~ ( eats @ X76 @ X77 ) ) ),
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,
! [X1: $i] :
( ( plant @ X1 )
| ~ ( grain @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_13,negated_conjecture,
grain @ a_grain,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_14,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_15,negated_conjecture,
plant @ a_grain,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_16,negated_conjecture,
! [X2: $i,X1: $i] :
( ( eats @ X1 @ a_grain )
| ~ ( snail @ X2 )
| ~ ( bird @ X1 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_17,negated_conjecture,
snail @ a_snail,
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 @ X1 @ a_grain )
| ~ ( bird @ X1 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_21,negated_conjecture,
bird @ a_bird,
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,
! [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_25,negated_conjecture,
animal @ a_bird,
inference(spm,[status(thm)],[c_0_6,c_0_21]) ).
thf(c_0_26,negated_conjecture,
fox @ a_fox,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_27,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_15]),c_0_21])]) ).
thf(c_0_28,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_24,c_0_23]),c_0_13]),c_0_25])]) ).
thf(c_0_29,negated_conjecture,
animal @ a_fox,
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
thf(c_0_30,negated_conjecture,
! [X1: $i,X2: $i] :
( ( msmaller @ X1 @ X2 )
| ~ ( fox @ X1 )
| ~ ( wolf @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_31,negated_conjecture,
! [X1: $i] :
( ( animal @ X1 )
| ~ ( wolf @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_32,negated_conjecture,
! [X1: $i,X2: $i] :
( ~ ( wolf @ X1 )
| ~ ( fox @ X2 )
| ~ ( eats @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_33,negated_conjecture,
! [X1: $i] :
( ( eats @ X1 @ a_grain )
| ( eats @ X1 @ a_bird )
| ~ ( fox @ X1 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_15]) ).
thf(c_0_34,negated_conjecture,
~ ( eats @ a_fox @ a_bird ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_35,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_30]),c_0_31]),c_0_19]),c_0_32]) ).
thf(c_0_36,negated_conjecture,
eats @ a_fox @ a_grain,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_26]),c_0_34]) ).
thf(c_0_37,negated_conjecture,
! [X2: $i,X1: $i] :
( ( eats @ X1 @ X2 )
| ~ ( plant @ X2 )
| ~ ( wolf @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_15]),c_0_26])]) ).
thf(c_0_38,negated_conjecture,
! [X1: $i] :
( ( eats @ X1 @ a_grain )
| ~ ( wolf @ X1 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_15]) ).
thf(c_0_39,negated_conjecture,
wolf @ a_wolf,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_40,negated_conjecture,
! [X1: $i,X2: $i] :
( ~ ( wolf @ X1 )
| ~ ( grain @ X2 )
| ~ ( eats @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_41,negated_conjecture,
eats @ a_wolf @ a_grain,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_13]),c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ031^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:20:51 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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.K8JY8BjpDK/E---3.1_2088954.p
% 0.08/0.25 % Version: 3.5.1-ho
% 0.08/0.25 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.08/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.25 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.25 % Starting full_lambda_5 with 300s (1) cores
% 0.08/0.25 % Starting new_ho_10_unif with 300s (1) cores
% 0.08/0.25 % new_ho_10_unif with pid 2088970 completed with status 0
% 0.08/0.25 % Result found by new_ho_10_unif
% 0.08/0.25 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.08/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.25 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.25 % Starting full_lambda_5 with 300s (1) cores
% 0.08/0.25 % Starting new_ho_10_unif with 300s (1) cores
% 0.08/0.25 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.25 % No SInE strategy applied
% 0.08/0.25 % Search class: HGHNF-FFSM11-SFFFFFNN
% 0.08/0.25 % partial match(1): HGHNF-FFSF11-SFFFFFNN
% 0.08/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.25 % SubtermCWHack with pid 2088976 completed with status 0
% 0.08/0.25 % Result found by SubtermCWHack
% 0.08/0.25 % Preprocessing class: HSMSSMSSSSSNFFN.
% 0.08/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.08/0.25 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.25 % Starting full_lambda_5 with 300s (1) cores
% 0.08/0.25 % Starting new_ho_10_unif with 300s (1) cores
% 0.08/0.25 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.25 % No SInE strategy applied
% 0.08/0.25 % Search class: HGHNF-FFSM11-SFFFFFNN
% 0.08/0.25 % partial match(1): HGHNF-FFSF11-SFFFFFNN
% 0.08/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.25 % Preprocessing time : 0.001 s
% 0.08/0.25
% 0.08/0.25 % Proof found!
% 0.08/0.25 % SZS status Theorem
% 0.08/0.25 % SZS output start CNFRefutation
% See solution above
% 0.08/0.25 % Parsed axioms : 19
% 0.08/0.25 % Removed by relevancy pruning/SinE : 0
% 0.08/0.25 % Initial clauses : 44
% 0.08/0.25 % Removed in clause preprocessing : 18
% 0.08/0.25 % Initial clauses in saturation : 26
% 0.08/0.25 % Processed clauses : 93
% 0.08/0.25 % ...of these trivial : 0
% 0.08/0.25 % ...subsumed : 4
% 0.08/0.25 % ...remaining for further processing : 89
% 0.08/0.25 % Other redundant clauses eliminated : 0
% 0.08/0.25 % Clauses deleted for lack of memory : 0
% 0.08/0.25 % Backward-subsumed : 14
% 0.08/0.25 % Backward-rewritten : 0
% 0.08/0.25 % Generated clauses : 93
% 0.08/0.25 % ...of the previous two non-redundant : 92
% 0.08/0.25 % ...aggressively subsumed : 0
% 0.08/0.25 % Contextual simplify-reflections : 12
% 0.08/0.25 % Paramodulations : 93
% 0.08/0.25 % Factorizations : 0
% 0.08/0.25 % NegExts : 0
% 0.08/0.25 % Equation resolutions : 0
% 0.08/0.25 % Disequality decompositions : 0
% 0.08/0.25 % Total rewrite steps : 22
% 0.08/0.25 % ...of those cached : 14
% 0.08/0.25 % Propositional unsat checks : 0
% 0.08/0.25 % Propositional check models : 0
% 0.08/0.25 % Propositional check unsatisfiable : 0
% 0.08/0.25 % Propositional clauses : 0
% 0.08/0.25 % Propositional clauses after purity: 0
% 0.08/0.25 % Propositional unsat core size : 0
% 0.08/0.25 % Propositional preprocessing time : 0.000
% 0.08/0.25 % Propositional encoding time : 0.000
% 0.08/0.25 % Propositional solver time : 0.000
% 0.08/0.25 % Success case prop preproc time : 0.000
% 0.08/0.25 % Success case prop encoding time : 0.000
% 0.08/0.25 % Success case prop solver time : 0.000
% 0.08/0.25 % Current number of processed clauses : 75
% 0.08/0.25 % Positive orientable unit clauses : 16
% 0.08/0.25 % Positive unorientable unit clauses: 0
% 0.08/0.25 % Negative unit clauses : 14
% 0.08/0.25 % Non-unit-clauses : 45
% 0.08/0.25 % Current number of unprocessed clauses: 20
% 0.08/0.25 % ...number of literals in the above : 108
% 0.08/0.25 % Current number of archived formulas : 0
% 0.08/0.25 % Current number of archived clauses : 14
% 0.08/0.25 % Clause-clause subsumption calls (NU) : 252
% 0.08/0.25 % Rec. Clause-clause subsumption calls : 108
% 0.08/0.25 % Non-unit clause-clause subsumptions : 25
% 0.08/0.25 % Unit Clause-clause subsumption calls : 190
% 0.08/0.25 % Rewrite failures with RHS unbound : 0
% 0.08/0.25 % BW rewrite match attempts : 0
% 0.08/0.25 % BW rewrite match successes : 0
% 0.08/0.25 % Condensation attempts : 0
% 0.08/0.25 % Condensation successes : 0
% 0.08/0.25 % Termbank termtop insertions : 4325
% 0.08/0.25 % Search garbage collected termcells : 499
% 0.08/0.25
% 0.08/0.25 % -------------------------------------------------
% 0.08/0.25 % User time : 0.005 s
% 0.08/0.25 % System time : 0.007 s
% 0.08/0.25 % Total time : 0.012 s
% 0.08/0.25 % Maximum resident set size: 3664 pages
% 0.08/0.25
% 0.08/0.25 % -------------------------------------------------
% 0.08/0.25 % User time : 0.008 s
% 0.08/0.25 % System time : 0.011 s
% 0.08/0.25 % Total time : 0.019 s
% 0.08/0.25 % Maximum resident set size: 4864 pages
% 0.08/0.25 % E exiting
%------------------------------------------------------------------------------