%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GRP037-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 Oct 7 10:20:08 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.29s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of formulae : 145 ( 94 unt; 0 typ; 0 def)
% Number of atoms : 743 ( 226 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 1271 ( 184 ~; 222 |; 0 &; 865 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 404 ( 0 ^; 404 !; 0 ?; 404 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_another_identity,type,
another_identity: $i ).
thf(tp_another_inverse,type,
another_inverse: $i > $i ).
thf(tp_identity,type,
identity: $i ).
thf(tp_inverse,type,
inverse: $i > $i ).
thf(tp_multiply,type,
multiply: $i > $i > $i ).
thf(tp_product,type,
product: $i > $i > $i > $o ).
thf(tp_subgroup_member,type,
subgroup_member: $i > $o ).
thf(1,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( subgroup_member @ A )
| ~ ( subgroup_member @ B )
| ~ ( product @ A @ ( inverse @ B ) @ C )
| ( subgroup_member @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
thf(2,axiom,
! [X: $i,Y: $i,U: $i,Z: $i,V: $i,W: $i] :
( ~ ( product @ X @ Y @ U )
| ~ ( product @ Y @ Z @ V )
| ~ ( product @ X @ V @ W )
| ( product @ U @ Z @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
thf(3,axiom,
! [X: $i,Y: $i,U: $i,Z: $i,V: $i,W: $i] :
( ~ ( product @ X @ Y @ U )
| ~ ( product @ Y @ Z @ V )
| ~ ( product @ U @ Z @ W )
| ( product @ X @ V @ W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
thf(4,axiom,
! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( product @ X @ Y @ Z )
| ~ ( product @ X @ Y @ W )
| ( Z = W ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
thf(5,axiom,
! [X: $i,Y: $i] : ( product @ X @ Y @ ( multiply @ X @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
thf(6,axiom,
! [X: $i] : ( product @ X @ ( inverse @ X ) @ identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
thf(7,axiom,
! [X: $i] : ( product @ ( inverse @ X ) @ X @ identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
thf(8,axiom,
! [X: $i] : ( product @ X @ identity @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
thf(9,axiom,
! [X: $i] : ( product @ identity @ X @ X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
thf(10,axiom,
subgroup_member @ another_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_identity_in_subgroup) ).
thf(11,axiom,
subgroup_member @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ D @ B @ C )
| ( D = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ D @ C )
| ( D = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
thf(14,axiom,
! [A: $i] :
( ~ ( subgroup_member @ A )
| ( subgroup_member @ ( another_inverse @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_inverse_in_subgroup) ).
thf(15,axiom,
! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ ( another_inverse @ A ) @ A @ another_identity ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_left_inverse) ).
thf(16,axiom,
! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ A @ ( another_inverse @ A ) @ another_identity ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_right_inverse) ).
thf(17,axiom,
! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ A @ another_identity @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_right_identity) ).
thf(18,axiom,
! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ another_identity @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_left_identity) ).
thf(19,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(20,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,negated_conjecture,
( ( inverse @ a )
!= ( another_inverse @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_inverses_are_equal) ).
thf(22,plain,
$false = $false,
inference(unfold_def,[status(thm)],[20]) ).
thf(23,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( subgroup_member @ A )
| ~ ( subgroup_member @ B )
| ~ ( product @ A @ ( inverse @ B ) @ C )
| ( subgroup_member @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i,U: $i,Z: $i,V: $i,W: $i] :
( ~ ( product @ X @ Y @ U )
| ~ ( product @ Y @ Z @ V )
| ~ ( product @ X @ V @ W )
| ( product @ U @ Z @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i,U: $i,Z: $i,V: $i,W: $i] :
( ~ ( product @ X @ Y @ U )
| ~ ( product @ Y @ Z @ V )
| ~ ( product @ U @ Z @ W )
| ( product @ X @ V @ W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( product @ X @ Y @ Z )
| ~ ( product @ X @ Y @ W )
| ( Z = W ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] : ( product @ X @ Y @ ( multiply @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(28,plain,
( ( ! [X: $i] : ( product @ X @ ( inverse @ X ) @ identity ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(29,plain,
( ( ! [X: $i] : ( product @ ( inverse @ X ) @ X @ identity ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(30,plain,
( ( ! [X: $i] : ( product @ X @ identity @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(31,plain,
( ( ! [X: $i] : ( product @ identity @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(32,plain,
( ( subgroup_member @ another_identity )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(33,plain,
( ( subgroup_member @ a )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(34,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ D @ B @ C )
| ( D = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(35,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ D @ C )
| ( D = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(36,plain,
( ( ! [A: $i] :
( ~ ( subgroup_member @ A )
| ( subgroup_member @ ( another_inverse @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(37,plain,
( ( ! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ ( another_inverse @ A ) @ A @ another_identity ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(38,plain,
( ( ! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ A @ ( another_inverse @ A ) @ another_identity ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(39,plain,
( ( ! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ A @ another_identity @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(40,plain,
( ( ! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ another_identity @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(41,plain,
( ( ( inverse @ a )
!= ( another_inverse @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(42,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(43,plain,
( ( ( inverse @ a )
!= ( another_inverse @ a ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(44,plain,
( ( ! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ another_identity @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(45,plain,
( ( ! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ A @ another_identity @ A ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(46,plain,
( ( ! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ A @ ( another_inverse @ A ) @ another_identity ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(47,plain,
( ( ! [A: $i] :
( ~ ( subgroup_member @ A )
| ( product @ ( another_inverse @ A ) @ A @ another_identity ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(48,plain,
( ( ! [A: $i] :
( ~ ( subgroup_member @ A )
| ( subgroup_member @ ( another_inverse @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(49,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ D @ C )
| ( D = B ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(50,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ D @ B @ C )
| ( D = A ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(51,plain,
( ( subgroup_member @ a )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(52,plain,
( ( subgroup_member @ another_identity )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(53,plain,
( ( ! [X: $i] : ( product @ identity @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(54,plain,
( ( ! [X: $i] : ( product @ X @ identity @ X ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(55,plain,
( ( ! [X: $i] : ( product @ ( inverse @ X ) @ X @ identity ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(56,plain,
( ( ! [X: $i] : ( product @ X @ ( inverse @ X ) @ identity ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(57,plain,
( ( ! [X: $i,Y: $i] : ( product @ X @ Y @ ( multiply @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(58,plain,
( ( ! [X: $i,Y: $i,Z: $i,W: $i] :
( ~ ( product @ X @ Y @ Z )
| ~ ( product @ X @ Y @ W )
| ( Z = W ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(59,plain,
( ( ! [X: $i,Y: $i,U: $i,Z: $i,V: $i,W: $i] :
( ~ ( product @ X @ Y @ U )
| ~ ( product @ Y @ Z @ V )
| ~ ( product @ U @ Z @ W )
| ( product @ X @ V @ W ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(60,plain,
( ( ! [X: $i,Y: $i,U: $i,Z: $i,V: $i,W: $i] :
( ~ ( product @ X @ Y @ U )
| ~ ( product @ Y @ Z @ V )
| ~ ( product @ X @ V @ W )
| ( product @ U @ Z @ W ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(61,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( subgroup_member @ A )
| ~ ( subgroup_member @ B )
| ~ ( product @ A @ ( inverse @ B ) @ C )
| ( subgroup_member @ C ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(62,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[42]) ).
thf(63,plain,
( ( ( inverse @ a )
!= ( another_inverse @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(64,plain,
! [SV1: $i] :
( ( ~ ( subgroup_member @ SV1 )
| ( product @ another_identity @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(65,plain,
! [SV2: $i] :
( ( ~ ( subgroup_member @ SV2 )
| ( product @ SV2 @ another_identity @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(66,plain,
! [SV3: $i] :
( ( ~ ( subgroup_member @ SV3 )
| ( product @ SV3 @ ( another_inverse @ SV3 ) @ another_identity ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(67,plain,
! [SV4: $i] :
( ( ~ ( subgroup_member @ SV4 )
| ( product @ ( another_inverse @ SV4 ) @ SV4 @ another_identity ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(68,plain,
! [SV5: $i] :
( ( ~ ( subgroup_member @ SV5 )
| ( subgroup_member @ ( another_inverse @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(69,plain,
! [SV6: $i] :
( ( ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ( product @ SV6 @ SY38 @ SY39 )
| ~ ( product @ SV6 @ SY40 @ SY39 )
| ( SY40 = SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(70,plain,
! [SV7: $i] :
( ( ! [SY41: $i,SY42: $i,SY43: $i] :
( ~ ( product @ SV7 @ SY41 @ SY42 )
| ~ ( product @ SY43 @ SY41 @ SY42 )
| ( SY43 = SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(71,plain,
! [SV8: $i] :
( ( product @ identity @ SV8 @ SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(72,plain,
! [SV9: $i] :
( ( product @ SV9 @ identity @ SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(73,plain,
! [SV10: $i] :
( ( product @ ( inverse @ SV10 ) @ SV10 @ identity )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(74,plain,
! [SV11: $i] :
( ( product @ SV11 @ ( inverse @ SV11 ) @ identity )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(75,plain,
! [SV12: $i] :
( ( ! [SY44: $i] : ( product @ SV12 @ SY44 @ ( multiply @ SV12 @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(76,plain,
! [SV13: $i] :
( ( ! [SY45: $i,SY46: $i,SY47: $i] :
( ~ ( product @ SV13 @ SY45 @ SY46 )
| ~ ( product @ SV13 @ SY45 @ SY47 )
| ( SY46 = SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(77,plain,
! [SV14: $i] :
( ( ! [SY48: $i,SY49: $i,SY50: $i,SY51: $i,SY52: $i] :
( ~ ( product @ SV14 @ SY48 @ SY49 )
| ~ ( product @ SY48 @ SY50 @ SY51 )
| ~ ( product @ SY49 @ SY50 @ SY52 )
| ( product @ SV14 @ SY51 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(78,plain,
! [SV15: $i] :
( ( ! [SY53: $i,SY54: $i,SY55: $i,SY56: $i,SY57: $i] :
( ~ ( product @ SV15 @ SY53 @ SY54 )
| ~ ( product @ SY53 @ SY55 @ SY56 )
| ~ ( product @ SV15 @ SY56 @ SY57 )
| ( product @ SY54 @ SY55 @ SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(79,plain,
! [SV16: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ~ ( subgroup_member @ SV16 )
| ~ ( subgroup_member @ SY58 )
| ~ ( product @ SV16 @ ( inverse @ SY58 ) @ SY59 )
| ( subgroup_member @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(80,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(81,plain,
( ( ( inverse @ a )
= ( another_inverse @ a ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(82,plain,
! [SV1: $i] :
( ( ( ~ ( subgroup_member @ SV1 ) )
= $true )
| ( ( product @ another_identity @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(83,plain,
! [SV2: $i] :
( ( ( ~ ( subgroup_member @ SV2 ) )
= $true )
| ( ( product @ SV2 @ another_identity @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(84,plain,
! [SV3: $i] :
( ( ( ~ ( subgroup_member @ SV3 ) )
= $true )
| ( ( product @ SV3 @ ( another_inverse @ SV3 ) @ another_identity )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[66]) ).
thf(85,plain,
! [SV4: $i] :
( ( ( ~ ( subgroup_member @ SV4 ) )
= $true )
| ( ( product @ ( another_inverse @ SV4 ) @ SV4 @ another_identity )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(86,plain,
! [SV5: $i] :
( ( ( ~ ( subgroup_member @ SV5 ) )
= $true )
| ( ( subgroup_member @ ( another_inverse @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(87,plain,
! [SV17: $i,SV6: $i] :
( ( ! [SY60: $i,SY61: $i] :
( ~ ( product @ SV6 @ SV17 @ SY60 )
| ~ ( product @ SV6 @ SY61 @ SY60 )
| ( SY61 = SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(88,plain,
! [SV18: $i,SV7: $i] :
( ( ! [SY62: $i,SY63: $i] :
( ~ ( product @ SV7 @ SV18 @ SY62 )
| ~ ( product @ SY63 @ SV18 @ SY62 )
| ( SY63 = SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(89,plain,
! [SV19: $i,SV12: $i] :
( ( product @ SV12 @ SV19 @ ( multiply @ SV12 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(90,plain,
! [SV20: $i,SV13: $i] :
( ( ! [SY64: $i,SY65: $i] :
( ~ ( product @ SV13 @ SV20 @ SY64 )
| ~ ( product @ SV13 @ SV20 @ SY65 )
| ( SY64 = SY65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(91,plain,
! [SV21: $i,SV14: $i] :
( ( ! [SY66: $i,SY67: $i,SY68: $i,SY69: $i] :
( ~ ( product @ SV14 @ SV21 @ SY66 )
| ~ ( product @ SV21 @ SY67 @ SY68 )
| ~ ( product @ SY66 @ SY67 @ SY69 )
| ( product @ SV14 @ SY68 @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(92,plain,
! [SV22: $i,SV15: $i] :
( ( ! [SY70: $i,SY71: $i,SY72: $i,SY73: $i] :
( ~ ( product @ SV15 @ SV22 @ SY70 )
| ~ ( product @ SV22 @ SY71 @ SY72 )
| ~ ( product @ SV15 @ SY72 @ SY73 )
| ( product @ SY70 @ SY71 @ SY73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(93,plain,
! [SV23: $i,SV16: $i] :
( ( ! [SY74: $i] :
( ~ ( subgroup_member @ SV16 )
| ~ ( subgroup_member @ SV23 )
| ~ ( product @ SV16 @ ( inverse @ SV23 ) @ SY74 )
| ( subgroup_member @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV1: $i] :
( ( ( subgroup_member @ SV1 )
= $false )
| ( ( product @ another_identity @ SV1 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(95,plain,
! [SV2: $i] :
( ( ( subgroup_member @ SV2 )
= $false )
| ( ( product @ SV2 @ another_identity @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(96,plain,
! [SV3: $i] :
( ( ( subgroup_member @ SV3 )
= $false )
| ( ( product @ SV3 @ ( another_inverse @ SV3 ) @ another_identity )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(97,plain,
! [SV4: $i] :
( ( ( subgroup_member @ SV4 )
= $false )
| ( ( product @ ( another_inverse @ SV4 ) @ SV4 @ another_identity )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(98,plain,
! [SV5: $i] :
( ( ( subgroup_member @ SV5 )
= $false )
| ( ( subgroup_member @ ( another_inverse @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(99,plain,
! [SV24: $i,SV17: $i,SV6: $i] :
( ( ! [SY75: $i] :
( ~ ( product @ SV6 @ SV17 @ SV24 )
| ~ ( product @ SV6 @ SY75 @ SV24 )
| ( SY75 = SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(100,plain,
! [SV25: $i,SV18: $i,SV7: $i] :
( ( ! [SY76: $i] :
( ~ ( product @ SV7 @ SV18 @ SV25 )
| ~ ( product @ SY76 @ SV18 @ SV25 )
| ( SY76 = SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(101,plain,
! [SV26: $i,SV20: $i,SV13: $i] :
( ( ! [SY77: $i] :
( ~ ( product @ SV13 @ SV20 @ SV26 )
| ~ ( product @ SV13 @ SV20 @ SY77 )
| ( SV26 = SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(102,plain,
! [SV27: $i,SV21: $i,SV14: $i] :
( ( ! [SY78: $i,SY79: $i,SY80: $i] :
( ~ ( product @ SV14 @ SV21 @ SV27 )
| ~ ( product @ SV21 @ SY78 @ SY79 )
| ~ ( product @ SV27 @ SY78 @ SY80 )
| ( product @ SV14 @ SY79 @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV28: $i,SV22: $i,SV15: $i] :
( ( ! [SY81: $i,SY82: $i,SY83: $i] :
( ~ ( product @ SV15 @ SV22 @ SV28 )
| ~ ( product @ SV22 @ SY81 @ SY82 )
| ~ ( product @ SV15 @ SY82 @ SY83 )
| ( product @ SV28 @ SY81 @ SY83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV29: $i,SV23: $i,SV16: $i] :
( ( ~ ( subgroup_member @ SV16 )
| ~ ( subgroup_member @ SV23 )
| ~ ( product @ SV16 @ ( inverse @ SV23 ) @ SV29 )
| ( subgroup_member @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV30: $i,SV24: $i,SV17: $i,SV6: $i] :
( ( ~ ( product @ SV6 @ SV17 @ SV24 )
| ~ ( product @ SV6 @ SV30 @ SV24 )
| ( SV30 = SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(106,plain,
! [SV31: $i,SV25: $i,SV18: $i,SV7: $i] :
( ( ~ ( product @ SV7 @ SV18 @ SV25 )
| ~ ( product @ SV31 @ SV18 @ SV25 )
| ( SV31 = SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(107,plain,
! [SV32: $i,SV26: $i,SV20: $i,SV13: $i] :
( ( ~ ( product @ SV13 @ SV20 @ SV26 )
| ~ ( product @ SV13 @ SV20 @ SV32 )
| ( SV26 = SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(108,plain,
! [SV33: $i,SV27: $i,SV21: $i,SV14: $i] :
( ( ! [SY84: $i,SY85: $i] :
( ~ ( product @ SV14 @ SV21 @ SV27 )
| ~ ( product @ SV21 @ SV33 @ SY84 )
| ~ ( product @ SV27 @ SV33 @ SY85 )
| ( product @ SV14 @ SY84 @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(109,plain,
! [SV34: $i,SV28: $i,SV22: $i,SV15: $i] :
( ( ! [SY86: $i,SY87: $i] :
( ~ ( product @ SV15 @ SV22 @ SV28 )
| ~ ( product @ SV22 @ SV34 @ SY86 )
| ~ ( product @ SV15 @ SY86 @ SY87 )
| ( product @ SV28 @ SV34 @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(110,plain,
! [SV29: $i,SV23: $i,SV16: $i] :
( ( ( ~ ( subgroup_member @ SV16 ) )
= $true )
| ( ( ~ ( subgroup_member @ SV23 )
| ~ ( product @ SV16 @ ( inverse @ SV23 ) @ SV29 )
| ( subgroup_member @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(111,plain,
! [SV30: $i,SV24: $i,SV17: $i,SV6: $i] :
( ( ( ~ ( product @ SV6 @ SV17 @ SV24 ) )
= $true )
| ( ( ~ ( product @ SV6 @ SV30 @ SV24 )
| ( SV30 = SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(112,plain,
! [SV31: $i,SV25: $i,SV18: $i,SV7: $i] :
( ( ( ~ ( product @ SV7 @ SV18 @ SV25 ) )
= $true )
| ( ( ~ ( product @ SV31 @ SV18 @ SV25 )
| ( SV31 = SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(113,plain,
! [SV32: $i,SV26: $i,SV20: $i,SV13: $i] :
( ( ( ~ ( product @ SV13 @ SV20 @ SV26 ) )
= $true )
| ( ( ~ ( product @ SV13 @ SV20 @ SV32 )
| ( SV26 = SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(114,plain,
! [SV35: $i,SV33: $i,SV27: $i,SV21: $i,SV14: $i] :
( ( ! [SY88: $i] :
( ~ ( product @ SV14 @ SV21 @ SV27 )
| ~ ( product @ SV21 @ SV33 @ SV35 )
| ~ ( product @ SV27 @ SV33 @ SY88 )
| ( product @ SV14 @ SV35 @ SY88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(115,plain,
! [SV36: $i,SV34: $i,SV28: $i,SV22: $i,SV15: $i] :
( ( ! [SY89: $i] :
( ~ ( product @ SV15 @ SV22 @ SV28 )
| ~ ( product @ SV22 @ SV34 @ SV36 )
| ~ ( product @ SV15 @ SV36 @ SY89 )
| ( product @ SV28 @ SV34 @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(116,plain,
! [SV29: $i,SV23: $i,SV16: $i] :
( ( ( subgroup_member @ SV16 )
= $false )
| ( ( ~ ( subgroup_member @ SV23 )
| ~ ( product @ SV16 @ ( inverse @ SV23 ) @ SV29 )
| ( subgroup_member @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(117,plain,
! [SV30: $i,SV24: $i,SV17: $i,SV6: $i] :
( ( ( product @ SV6 @ SV17 @ SV24 )
= $false )
| ( ( ~ ( product @ SV6 @ SV30 @ SV24 )
| ( SV30 = SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(118,plain,
! [SV31: $i,SV25: $i,SV18: $i,SV7: $i] :
( ( ( product @ SV7 @ SV18 @ SV25 )
= $false )
| ( ( ~ ( product @ SV31 @ SV18 @ SV25 )
| ( SV31 = SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(119,plain,
! [SV32: $i,SV26: $i,SV20: $i,SV13: $i] :
( ( ( product @ SV13 @ SV20 @ SV26 )
= $false )
| ( ( ~ ( product @ SV13 @ SV20 @ SV32 )
| ( SV26 = SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(120,plain,
! [SV37: $i,SV35: $i,SV33: $i,SV27: $i,SV21: $i,SV14: $i] :
( ( ~ ( product @ SV14 @ SV21 @ SV27 )
| ~ ( product @ SV21 @ SV33 @ SV35 )
| ~ ( product @ SV27 @ SV33 @ SV37 )
| ( product @ SV14 @ SV35 @ SV37 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(121,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV28: $i,SV22: $i,SV15: $i] :
( ( ~ ( product @ SV15 @ SV22 @ SV28 )
| ~ ( product @ SV22 @ SV34 @ SV36 )
| ~ ( product @ SV15 @ SV36 @ SV38 )
| ( product @ SV28 @ SV34 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(122,plain,
! [SV29: $i,SV16: $i,SV23: $i] :
( ( ( ~ ( subgroup_member @ SV23 ) )
= $true )
| ( ( ~ ( product @ SV16 @ ( inverse @ SV23 ) @ SV29 )
| ( subgroup_member @ SV29 ) )
= $true )
| ( ( subgroup_member @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(123,plain,
! [SV17: $i,SV24: $i,SV30: $i,SV6: $i] :
( ( ( ~ ( product @ SV6 @ SV30 @ SV24 ) )
= $true )
| ( ( SV30 = SV17 )
= $true )
| ( ( product @ SV6 @ SV17 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[117]) ).
thf(124,plain,
! [SV7: $i,SV25: $i,SV18: $i,SV31: $i] :
( ( ( ~ ( product @ SV31 @ SV18 @ SV25 ) )
= $true )
| ( ( SV31 = SV7 )
= $true )
| ( ( product @ SV7 @ SV18 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(125,plain,
! [SV26: $i,SV32: $i,SV20: $i,SV13: $i] :
( ( ( ~ ( product @ SV13 @ SV20 @ SV32 ) )
= $true )
| ( ( SV26 = SV32 )
= $true )
| ( ( product @ SV13 @ SV20 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(126,plain,
! [SV37: $i,SV35: $i,SV33: $i,SV27: $i,SV21: $i,SV14: $i] :
( ( ( ~ ( product @ SV14 @ SV21 @ SV27 ) )
= $true )
| ( ( ~ ( product @ SV21 @ SV33 @ SV35 )
| ~ ( product @ SV27 @ SV33 @ SV37 )
| ( product @ SV14 @ SV35 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(127,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV28: $i,SV22: $i,SV15: $i] :
( ( ( ~ ( product @ SV15 @ SV22 @ SV28 ) )
= $true )
| ( ( ~ ( product @ SV22 @ SV34 @ SV36 )
| ~ ( product @ SV15 @ SV36 @ SV38 )
| ( product @ SV28 @ SV34 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(128,plain,
! [SV29: $i,SV16: $i,SV23: $i] :
( ( ( subgroup_member @ SV23 )
= $false )
| ( ( ~ ( product @ SV16 @ ( inverse @ SV23 ) @ SV29 )
| ( subgroup_member @ SV29 ) )
= $true )
| ( ( subgroup_member @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(129,plain,
! [SV17: $i,SV24: $i,SV30: $i,SV6: $i] :
( ( ( product @ SV6 @ SV30 @ SV24 )
= $false )
| ( ( SV30 = SV17 )
= $true )
| ( ( product @ SV6 @ SV17 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(130,plain,
! [SV7: $i,SV25: $i,SV18: $i,SV31: $i] :
( ( ( product @ SV31 @ SV18 @ SV25 )
= $false )
| ( ( SV31 = SV7 )
= $true )
| ( ( product @ SV7 @ SV18 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(131,plain,
! [SV26: $i,SV32: $i,SV20: $i,SV13: $i] :
( ( ( product @ SV13 @ SV20 @ SV32 )
= $false )
| ( ( SV26 = SV32 )
= $true )
| ( ( product @ SV13 @ SV20 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(132,plain,
! [SV37: $i,SV35: $i,SV33: $i,SV27: $i,SV21: $i,SV14: $i] :
( ( ( product @ SV14 @ SV21 @ SV27 )
= $false )
| ( ( ~ ( product @ SV21 @ SV33 @ SV35 )
| ~ ( product @ SV27 @ SV33 @ SV37 )
| ( product @ SV14 @ SV35 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(133,plain,
! [SV38: $i,SV36: $i,SV34: $i,SV28: $i,SV22: $i,SV15: $i] :
( ( ( product @ SV15 @ SV22 @ SV28 )
= $false )
| ( ( ~ ( product @ SV22 @ SV34 @ SV36 )
| ~ ( product @ SV15 @ SV36 @ SV38 )
| ( product @ SV28 @ SV34 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(134,plain,
! [SV29: $i,SV23: $i,SV16: $i] :
( ( ( ~ ( product @ SV16 @ ( inverse @ SV23 ) @ SV29 ) )
= $true )
| ( ( subgroup_member @ SV29 )
= $true )
| ( ( subgroup_member @ SV23 )
= $false )
| ( ( subgroup_member @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(135,plain,
! [SV14: $i,SV37: $i,SV27: $i,SV35: $i,SV33: $i,SV21: $i] :
( ( ( ~ ( product @ SV21 @ SV33 @ SV35 ) )
= $true )
| ( ( ~ ( product @ SV27 @ SV33 @ SV37 )
| ( product @ SV14 @ SV35 @ SV37 ) )
= $true )
| ( ( product @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(136,plain,
! [SV28: $i,SV38: $i,SV15: $i,SV36: $i,SV34: $i,SV22: $i] :
( ( ( ~ ( product @ SV22 @ SV34 @ SV36 ) )
= $true )
| ( ( ~ ( product @ SV15 @ SV36 @ SV38 )
| ( product @ SV28 @ SV34 @ SV38 ) )
= $true )
| ( ( product @ SV15 @ SV22 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(137,plain,
! [SV29: $i,SV23: $i,SV16: $i] :
( ( ( product @ SV16 @ ( inverse @ SV23 ) @ SV29 )
= $false )
| ( ( subgroup_member @ SV29 )
= $true )
| ( ( subgroup_member @ SV23 )
= $false )
| ( ( subgroup_member @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(138,plain,
! [SV14: $i,SV37: $i,SV27: $i,SV35: $i,SV33: $i,SV21: $i] :
( ( ( product @ SV21 @ SV33 @ SV35 )
= $false )
| ( ( ~ ( product @ SV27 @ SV33 @ SV37 )
| ( product @ SV14 @ SV35 @ SV37 ) )
= $true )
| ( ( product @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(139,plain,
! [SV28: $i,SV38: $i,SV15: $i,SV36: $i,SV34: $i,SV22: $i] :
( ( ( product @ SV22 @ SV34 @ SV36 )
= $false )
| ( ( ~ ( product @ SV15 @ SV36 @ SV38 )
| ( product @ SV28 @ SV34 @ SV38 ) )
= $true )
| ( ( product @ SV15 @ SV22 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(140,plain,
! [SV21: $i,SV35: $i,SV14: $i,SV37: $i,SV33: $i,SV27: $i] :
( ( ( ~ ( product @ SV27 @ SV33 @ SV37 ) )
= $true )
| ( ( product @ SV14 @ SV35 @ SV37 )
= $true )
| ( ( product @ SV21 @ SV33 @ SV35 )
= $false )
| ( ( product @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(141,plain,
! [SV22: $i,SV34: $i,SV28: $i,SV38: $i,SV36: $i,SV15: $i] :
( ( ( ~ ( product @ SV15 @ SV36 @ SV38 ) )
= $true )
| ( ( product @ SV28 @ SV34 @ SV38 )
= $true )
| ( ( product @ SV22 @ SV34 @ SV36 )
= $false )
| ( ( product @ SV15 @ SV22 @ SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(142,plain,
! [SV21: $i,SV35: $i,SV14: $i,SV37: $i,SV33: $i,SV27: $i] :
( ( ( product @ SV27 @ SV33 @ SV37 )
= $false )
| ( ( product @ SV14 @ SV35 @ SV37 )
= $true )
| ( ( product @ SV21 @ SV33 @ SV35 )
= $false )
| ( ( product @ SV14 @ SV21 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(143,plain,
! [SV22: $i,SV34: $i,SV28: $i,SV38: $i,SV36: $i,SV15: $i] :
( ( ( product @ SV15 @ SV36 @ SV38 )
= $false )
| ( ( product @ SV28 @ SV34 @ SV38 )
= $true )
| ( ( product @ SV22 @ SV34 @ SV36 )
= $false )
| ( ( product @ SV15 @ SV22 @ SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(144,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[51,143,142,137,131,130,129,98,97,96,95,94,89,81,80,74,73,72,71,52]) ).
thf(145,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP037-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n017.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 10:27:15 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.29
% 0.07/0.29 No.of.Axioms: 19
% 0.07/0.29
% 0.07/0.29 Length.of.Defs: 0
% 0.07/0.29
% 0.07/0.29 Contains.Choice.Funs: false
% 0.07/0.29 ...
% 0.07/0.29
% 0.07/0.29 ********************************
% 0.07/0.29 * All subproblems solved! *
% 0.07/0.29 ********************************
% 0.07/0.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:19,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:144,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.07/0.29
% 0.07/0.29 %**** Beginning of derivation protocol ****
% 0.07/0.29 % SZS output start CNFRefutation
% See solution above
% 0.17/0.29
% 0.17/0.29 %**** End of derivation protocol ****
% 0.17/0.29 %**** no. of clauses in derivation: 145 ****
% 0.17/0.29 %**** clause counter: 144 ****
% 0.17/0.29
% 0.17/0.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:19,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:144,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------