TSTP Solution File: NUM017-2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : NUM017-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 11:46:24 EDT 2022
% Result : Unsatisfiable 1.05s 1.27s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 26
% Syntax : Number of formulae : 146 ( 79 unt; 10 typ; 0 def)
% Number of atoms : 755 ( 216 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 1348 ( 192 ~; 235 |; 0 &; 921 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 439 ( 0 ^ 439 !; 0 ?; 439 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_c,type,
c: $i ).
thf(tp_d,type,
d: $i ).
thf(tp_divides,type,
divides: $i > $i > $o ).
thf(tp_e,type,
e: $i ).
thf(tp_multiply,type,
multiply: $i > $i > $i ).
thf(tp_prime,type,
prime: $i > $o ).
thf(tp_product,type,
product: $i > $i > $i > $o ).
thf(tp_second_divided_by_1st,type,
second_divided_by_1st: $i > $i > $i ).
thf(1,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( divides @ A @ B )
| ~ ( product @ C @ C @ B )
| ~ ( prime @ A )
| ( divides @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',primes_lemma1) ).
thf(2,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( product @ A @ B @ C )
| ( divides @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_divisible_by_operand) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ~ ( divides @ A @ B )
| ( product @ A @ ( second_divided_by_1st @ A @ B ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_implies_product) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ B @ D )
| ( D = C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_defined_product) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( divides @ A @ B )
| ~ ( divides @ C @ A )
| ( divides @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_divides) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ D @ C )
| ( B = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( product @ A @ B @ C )
| ( product @ B @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_commutativity) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ D @ B @ E )
| ~ ( product @ F @ D @ A )
| ( product @ F @ E @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_associativity2) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ D @ E @ B )
| ~ ( product @ A @ D @ F )
| ( product @ F @ E @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_associativity1) ).
thf(10,axiom,
! [A: $i,B: $i] : ( product @ A @ B @ ( multiply @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product) ).
thf(11,axiom,
~ ( product @ a @ e @ d ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_squared_is_not_b_squared) ).
thf(12,axiom,
product @ c @ c @ e,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_squared) ).
thf(13,axiom,
product @ b @ b @ d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_squared) ).
thf(14,axiom,
prime @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_prime) ).
thf(15,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(16,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[15]) ).
thf(17,negated_conjecture,
! [A: $i] :
( ~ ( divides @ A @ c )
| ~ ( divides @ A @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_no_common_divisor) ).
thf(18,plain,
$false = $false,
inference(unfold_def,[status(thm)],[16]) ).
thf(19,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( divides @ A @ B )
| ~ ( product @ C @ C @ B )
| ~ ( prime @ A )
| ( divides @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(20,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( product @ A @ B @ C )
| ( divides @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(21,plain,
( ( ! [A: $i,B: $i] :
( ~ ( divides @ A @ B )
| ( product @ A @ ( second_divided_by_1st @ A @ B ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(22,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ B @ D )
| ( D = C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(23,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( divides @ A @ B )
| ~ ( divides @ C @ A )
| ( divides @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(24,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ A @ D @ C )
| ( B = D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(25,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( product @ A @ B @ C )
| ( product @ B @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(26,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ D @ B @ E )
| ~ ( product @ F @ D @ A )
| ( product @ F @ E @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(27,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ~ ( product @ A @ B @ C )
| ~ ( product @ D @ E @ B )
| ~ ( product @ A @ D @ F )
| ( product @ F @ E @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(28,plain,
( ( ! [A: $i,B: $i] : ( product @ A @ B @ ( multiply @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(29,plain,
( ( ~ ( product @ a @ e @ d ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(30,plain,
( ( product @ c @ c @ e )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(31,plain,
( ( product @ b @ b @ d )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(32,plain,
( ( prime @ a )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(33,plain,
( ( ! [A: $i] :
( ~ ( divides @ A @ c )
| ~ ( divides @ A @ b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(34,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[18]) ).
thf(35,plain,
( ( ! [A: $i,B: $i] :
( ~ ( divides @ A @ B )
| ! [C: $i] :
( ~ ( product @ C @ C @ B )
| ~ ( prime @ A )
| ( divides @ A @ C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(36,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( product @ A @ B @ C )
| ! [D: $i] :
( ~ ( product @ A @ B @ D )
| ( D = C ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(37,plain,
( ( ! [A: $i,B: $i] :
( ~ ( divides @ A @ B )
| ! [C: $i] :
( ~ ( divides @ C @ A )
| ( divides @ C @ B ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(38,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( product @ A @ B @ C )
| ! [D: $i] :
( ~ ( product @ A @ D @ C )
| ( B = D ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(39,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ! [E: $i] :
( ~ ( product @ D @ B @ E )
| ! [F: $i] :
( ~ ( product @ F @ D @ A )
| ( product @ F @ E @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(40,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ! [E: $i] :
( ~ ( product @ D @ E @ B )
| ! [F: $i] :
( ~ ( product @ A @ D @ F )
| ( product @ F @ E @ C ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(41,plain,
( ( ! [A: $i] :
( ~ ( divides @ A @ c )
| ~ ( divides @ A @ b ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(42,plain,
( ( prime @ a )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(43,plain,
( ( product @ b @ b @ d )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(44,plain,
( ( product @ c @ c @ e )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(45,plain,
( ( ~ ( product @ a @ e @ d ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(46,plain,
( ( ! [A: $i,B: $i] : ( product @ A @ B @ ( multiply @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(47,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ! [E: $i] :
( ~ ( product @ D @ E @ B )
| ! [F: $i] :
( ~ ( product @ A @ D @ F )
| ( product @ F @ E @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(48,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ~ ( product @ A @ B @ C )
| ! [E: $i] :
( ~ ( product @ D @ B @ E )
| ! [F: $i] :
( ~ ( product @ F @ D @ A )
| ( product @ F @ E @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(49,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( product @ A @ B @ C )
| ( product @ B @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(50,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( product @ A @ B @ C )
| ! [D: $i] :
( ~ ( product @ A @ D @ C )
| ( B = D ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(51,plain,
( ( ! [A: $i,B: $i] :
( ~ ( divides @ A @ B )
| ! [C: $i] :
( ~ ( divides @ C @ A )
| ( divides @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(52,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( product @ A @ B @ C )
| ! [D: $i] :
( ~ ( product @ A @ B @ D )
| ( D = C ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(53,plain,
( ( ! [A: $i,B: $i] :
( ~ ( divides @ A @ B )
| ( product @ A @ ( second_divided_by_1st @ A @ B ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(54,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( product @ A @ B @ C )
| ( divides @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(55,plain,
( ( ! [A: $i,B: $i] :
( ~ ( divides @ A @ B )
| ! [C: $i] :
( ~ ( product @ C @ C @ B )
| ~ ( prime @ A )
| ( divides @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(56,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(57,plain,
! [SV1: $i] :
( ( ~ ( divides @ SV1 @ c )
| ~ ( divides @ SV1 @ b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(58,plain,
( ( product @ a @ e @ d )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(59,plain,
! [SV2: $i] :
( ( ! [SY37: $i] : ( product @ SV2 @ SY37 @ ( multiply @ SV2 @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(60,plain,
! [SV3: $i] :
( ( ! [SY38: $i,SY39: $i,SY40: $i] :
( ~ ( product @ SV3 @ SY38 @ SY39 )
| ! [SY41: $i] :
( ~ ( product @ SY40 @ SY41 @ SY38 )
| ! [SY42: $i] :
( ~ ( product @ SV3 @ SY40 @ SY42 )
| ( product @ SY42 @ SY41 @ SY39 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(61,plain,
! [SV4: $i] :
( ( ! [SY43: $i,SY44: $i,SY45: $i] :
( ~ ( product @ SV4 @ SY43 @ SY44 )
| ! [SY46: $i] :
( ~ ( product @ SY45 @ SY43 @ SY46 )
| ! [SY47: $i] :
( ~ ( product @ SY47 @ SY45 @ SV4 )
| ( product @ SY47 @ SY46 @ SY44 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(62,plain,
! [SV5: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ~ ( product @ SV5 @ SY48 @ SY49 )
| ( product @ SY48 @ SV5 @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(63,plain,
! [SV6: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ~ ( product @ SV6 @ SY50 @ SY51 )
| ! [SY52: $i] :
( ~ ( product @ SV6 @ SY52 @ SY51 )
| ( SY50 = SY52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(64,plain,
! [SV7: $i] :
( ( ! [SY53: $i] :
( ~ ( divides @ SV7 @ SY53 )
| ! [SY54: $i] :
( ~ ( divides @ SY54 @ SV7 )
| ( divides @ SY54 @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(65,plain,
! [SV8: $i] :
( ( ! [SY55: $i,SY56: $i] :
( ~ ( product @ SV8 @ SY55 @ SY56 )
| ! [SY57: $i] :
( ~ ( product @ SV8 @ SY55 @ SY57 )
| ( SY57 = SY56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(66,plain,
! [SV9: $i] :
( ( ! [SY58: $i] :
( ~ ( divides @ SV9 @ SY58 )
| ( product @ SV9 @ ( second_divided_by_1st @ SV9 @ SY58 ) @ SY58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(67,plain,
! [SV10: $i] :
( ( ! [SY59: $i,SY60: $i] :
( ~ ( product @ SV10 @ SY59 @ SY60 )
| ( divides @ SV10 @ SY60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(68,plain,
! [SV11: $i] :
( ( ! [SY61: $i] :
( ~ ( divides @ SV11 @ SY61 )
| ! [SY62: $i] :
( ~ ( product @ SY62 @ SY62 @ SY61 )
| ~ ( prime @ SV11 )
| ( divides @ SV11 @ SY62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(69,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(70,plain,
! [SV1: $i] :
( ( ( ~ ( divides @ SV1 @ c ) )
= $true )
| ( ( ~ ( divides @ SV1 @ b ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(71,plain,
! [SV12: $i,SV2: $i] :
( ( product @ SV2 @ SV12 @ ( multiply @ SV2 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(72,plain,
! [SV13: $i,SV3: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ~ ( product @ SV3 @ SV13 @ SY63 )
| ! [SY65: $i] :
( ~ ( product @ SY64 @ SY65 @ SV13 )
| ! [SY42: $i] :
( ~ ( product @ SV3 @ SY64 @ SY42 )
| ( product @ SY42 @ SY65 @ SY63 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(73,plain,
! [SV14: $i,SV4: $i] :
( ( ! [SY67: $i,SY68: $i] :
( ~ ( product @ SV4 @ SV14 @ SY67 )
| ! [SY69: $i] :
( ~ ( product @ SY68 @ SV14 @ SY69 )
| ! [SY47: $i] :
( ~ ( product @ SY47 @ SY68 @ SV4 )
| ( product @ SY47 @ SY69 @ SY67 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(74,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY71: $i] :
( ~ ( product @ SV5 @ SV15 @ SY71 )
| ( product @ SV15 @ SV5 @ SY71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(75,plain,
! [SV16: $i,SV6: $i] :
( ( ! [SY72: $i] :
( ~ ( product @ SV6 @ SV16 @ SY72 )
| ! [SY73: $i] :
( ~ ( product @ SV6 @ SY73 @ SY72 )
| ( SV16 = SY73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(76,plain,
! [SV17: $i,SV7: $i] :
( ( ~ ( divides @ SV7 @ SV17 )
| ! [SY74: $i] :
( ~ ( divides @ SY74 @ SV7 )
| ( divides @ SY74 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(77,plain,
! [SV18: $i,SV8: $i] :
( ( ! [SY75: $i] :
( ~ ( product @ SV8 @ SV18 @ SY75 )
| ! [SY76: $i] :
( ~ ( product @ SV8 @ SV18 @ SY76 )
| ( SY76 = SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(78,plain,
! [SV19: $i,SV9: $i] :
( ( ~ ( divides @ SV9 @ SV19 )
| ( product @ SV9 @ ( second_divided_by_1st @ SV9 @ SV19 ) @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(79,plain,
! [SV20: $i,SV10: $i] :
( ( ! [SY77: $i] :
( ~ ( product @ SV10 @ SV20 @ SY77 )
| ( divides @ SV10 @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(80,plain,
! [SV21: $i,SV11: $i] :
( ( ~ ( divides @ SV11 @ SV21 )
| ! [SY78: $i] :
( ~ ( product @ SY78 @ SY78 @ SV21 )
| ~ ( prime @ SV11 )
| ( divides @ SV11 @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(81,plain,
! [SV1: $i] :
( ( ( divides @ SV1 @ c )
= $false )
| ( ( ~ ( divides @ SV1 @ b ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(82,plain,
! [SV22: $i,SV13: $i,SV3: $i] :
( ( ! [SY79: $i] :
( ~ ( product @ SV3 @ SV13 @ SV22 )
| ! [SY80: $i] :
( ~ ( product @ SY79 @ SY80 @ SV13 )
| ! [SY81: $i] :
( ~ ( product @ SV3 @ SY79 @ SY81 )
| ( product @ SY81 @ SY80 @ SV22 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV23: $i,SV14: $i,SV4: $i] :
( ( ! [SY82: $i] :
( ~ ( product @ SV4 @ SV14 @ SV23 )
| ! [SY83: $i] :
( ~ ( product @ SY82 @ SV14 @ SY83 )
| ! [SY84: $i] :
( ~ ( product @ SY84 @ SY82 @ SV4 )
| ( product @ SY84 @ SY83 @ SV23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV24: $i,SV15: $i,SV5: $i] :
( ( ~ ( product @ SV5 @ SV15 @ SV24 )
| ( product @ SV15 @ SV5 @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(85,plain,
! [SV25: $i,SV16: $i,SV6: $i] :
( ( ~ ( product @ SV6 @ SV16 @ SV25 )
| ! [SY85: $i] :
( ~ ( product @ SV6 @ SY85 @ SV25 )
| ( SV16 = SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(86,plain,
! [SV17: $i,SV7: $i] :
( ( ( ~ ( divides @ SV7 @ SV17 ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( divides @ SY74 @ SV7 )
| ( divides @ SY74 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(87,plain,
! [SV26: $i,SV18: $i,SV8: $i] :
( ( ~ ( product @ SV8 @ SV18 @ SV26 )
| ! [SY86: $i] :
( ~ ( product @ SV8 @ SV18 @ SY86 )
| ( SY86 = SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(88,plain,
! [SV19: $i,SV9: $i] :
( ( ( ~ ( divides @ SV9 @ SV19 ) )
= $true )
| ( ( product @ SV9 @ ( second_divided_by_1st @ SV9 @ SV19 ) @ SV19 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(89,plain,
! [SV27: $i,SV20: $i,SV10: $i] :
( ( ~ ( product @ SV10 @ SV20 @ SV27 )
| ( divides @ SV10 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(90,plain,
! [SV21: $i,SV11: $i] :
( ( ( ~ ( divides @ SV11 @ SV21 ) )
= $true )
| ( ( ! [SY78: $i] :
( ~ ( product @ SY78 @ SY78 @ SV21 )
| ~ ( prime @ SV11 )
| ( divides @ SV11 @ SY78 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(91,plain,
! [SV1: $i] :
( ( ( divides @ SV1 @ b )
= $false )
| ( ( divides @ SV1 @ c )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(92,plain,
! [SV28: $i,SV22: $i,SV13: $i,SV3: $i] :
( ( ~ ( product @ SV3 @ SV13 @ SV22 )
| ! [SY87: $i] :
( ~ ( product @ SV28 @ SY87 @ SV13 )
| ! [SY88: $i] :
( ~ ( product @ SV3 @ SV28 @ SY88 )
| ( product @ SY88 @ SY87 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(93,plain,
! [SV29: $i,SV23: $i,SV14: $i,SV4: $i] :
( ( ~ ( product @ SV4 @ SV14 @ SV23 )
| ! [SY89: $i] :
( ~ ( product @ SV29 @ SV14 @ SY89 )
| ! [SY90: $i] :
( ~ ( product @ SY90 @ SV29 @ SV4 )
| ( product @ SY90 @ SY89 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(94,plain,
! [SV24: $i,SV15: $i,SV5: $i] :
( ( ( ~ ( product @ SV5 @ SV15 @ SV24 ) )
= $true )
| ( ( product @ SV15 @ SV5 @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(95,plain,
! [SV25: $i,SV16: $i,SV6: $i] :
( ( ( ~ ( product @ SV6 @ SV16 @ SV25 ) )
= $true )
| ( ( ! [SY85: $i] :
( ~ ( product @ SV6 @ SY85 @ SV25 )
| ( SV16 = SY85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(96,plain,
! [SV17: $i,SV7: $i] :
( ( ( divides @ SV7 @ SV17 )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( divides @ SY74 @ SV7 )
| ( divides @ SY74 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(97,plain,
! [SV26: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( product @ SV8 @ SV18 @ SV26 ) )
= $true )
| ( ( ! [SY86: $i] :
( ~ ( product @ SV8 @ SV18 @ SY86 )
| ( SY86 = SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV19: $i,SV9: $i] :
( ( ( divides @ SV9 @ SV19 )
= $false )
| ( ( product @ SV9 @ ( second_divided_by_1st @ SV9 @ SV19 ) @ SV19 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV27: $i,SV20: $i,SV10: $i] :
( ( ( ~ ( product @ SV10 @ SV20 @ SV27 ) )
= $true )
| ( ( divides @ SV10 @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV21: $i,SV11: $i] :
( ( ( divides @ SV11 @ SV21 )
= $false )
| ( ( ! [SY78: $i] :
( ~ ( product @ SY78 @ SY78 @ SV21 )
| ~ ( prime @ SV11 )
| ( divides @ SV11 @ SY78 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(101,plain,
! [SV28: $i,SV22: $i,SV13: $i,SV3: $i] :
( ( ( ~ ( product @ SV3 @ SV13 @ SV22 ) )
= $true )
| ( ( ! [SY87: $i] :
( ~ ( product @ SV28 @ SY87 @ SV13 )
| ! [SY88: $i] :
( ~ ( product @ SV3 @ SV28 @ SY88 )
| ( product @ SY88 @ SY87 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(102,plain,
! [SV29: $i,SV23: $i,SV14: $i,SV4: $i] :
( ( ( ~ ( product @ SV4 @ SV14 @ SV23 ) )
= $true )
| ( ( ! [SY89: $i] :
( ~ ( product @ SV29 @ SV14 @ SY89 )
| ! [SY90: $i] :
( ~ ( product @ SY90 @ SV29 @ SV4 )
| ( product @ SY90 @ SY89 @ SV23 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(103,plain,
! [SV24: $i,SV15: $i,SV5: $i] :
( ( ( product @ SV5 @ SV15 @ SV24 )
= $false )
| ( ( product @ SV15 @ SV5 @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(104,plain,
! [SV25: $i,SV16: $i,SV6: $i] :
( ( ( product @ SV6 @ SV16 @ SV25 )
= $false )
| ( ( ! [SY85: $i] :
( ~ ( product @ SV6 @ SY85 @ SV25 )
| ( SV16 = SY85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(105,plain,
! [SV17: $i,SV7: $i,SV30: $i] :
( ( ( ~ ( divides @ SV30 @ SV7 )
| ( divides @ SV30 @ SV17 ) )
= $true )
| ( ( divides @ SV7 @ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(106,plain,
! [SV26: $i,SV18: $i,SV8: $i] :
( ( ( product @ SV8 @ SV18 @ SV26 )
= $false )
| ( ( ! [SY86: $i] :
( ~ ( product @ SV8 @ SV18 @ SY86 )
| ( SY86 = SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(107,plain,
! [SV27: $i,SV20: $i,SV10: $i] :
( ( ( product @ SV10 @ SV20 @ SV27 )
= $false )
| ( ( divides @ SV10 @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(108,plain,
! [SV11: $i,SV21: $i,SV31: $i] :
( ( ( ~ ( product @ SV31 @ SV31 @ SV21 )
| ~ ( prime @ SV11 )
| ( divides @ SV11 @ SV31 ) )
= $true )
| ( ( divides @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(109,plain,
! [SV28: $i,SV22: $i,SV13: $i,SV3: $i] :
( ( ( product @ SV3 @ SV13 @ SV22 )
= $false )
| ( ( ! [SY87: $i] :
( ~ ( product @ SV28 @ SY87 @ SV13 )
| ! [SY88: $i] :
( ~ ( product @ SV3 @ SV28 @ SY88 )
| ( product @ SY88 @ SY87 @ SV22 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(110,plain,
! [SV29: $i,SV23: $i,SV14: $i,SV4: $i] :
( ( ( product @ SV4 @ SV14 @ SV23 )
= $false )
| ( ( ! [SY89: $i] :
( ~ ( product @ SV29 @ SV14 @ SY89 )
| ! [SY90: $i] :
( ~ ( product @ SY90 @ SV29 @ SV4 )
| ( product @ SY90 @ SY89 @ SV23 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(111,plain,
! [SV16: $i,SV25: $i,SV32: $i,SV6: $i] :
( ( ( ~ ( product @ SV6 @ SV32 @ SV25 )
| ( SV16 = SV32 ) )
= $true )
| ( ( product @ SV6 @ SV16 @ SV25 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(112,plain,
! [SV17: $i,SV7: $i,SV30: $i] :
( ( ( ~ ( divides @ SV30 @ SV7 ) )
= $true )
| ( ( divides @ SV30 @ SV17 )
= $true )
| ( ( divides @ SV7 @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(113,plain,
! [SV26: $i,SV33: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( product @ SV8 @ SV18 @ SV33 )
| ( SV33 = SV26 ) )
= $true )
| ( ( product @ SV8 @ SV18 @ SV26 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(114,plain,
! [SV11: $i,SV21: $i,SV31: $i] :
( ( ( ~ ( product @ SV31 @ SV31 @ SV21 ) )
= $true )
| ( ( ~ ( prime @ SV11 )
| ( divides @ SV11 @ SV31 ) )
= $true )
| ( ( divides @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(115,plain,
! [SV22: $i,SV3: $i,SV13: $i,SV34: $i,SV28: $i] :
( ( ( ~ ( product @ SV28 @ SV34 @ SV13 )
| ! [SY91: $i] :
( ~ ( product @ SV3 @ SV28 @ SY91 )
| ( product @ SY91 @ SV34 @ SV22 ) ) )
= $true )
| ( ( product @ SV3 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(116,plain,
! [SV23: $i,SV4: $i,SV35: $i,SV14: $i,SV29: $i] :
( ( ( ~ ( product @ SV29 @ SV14 @ SV35 )
| ! [SY92: $i] :
( ~ ( product @ SY92 @ SV29 @ SV4 )
| ( product @ SY92 @ SV35 @ SV23 ) ) )
= $true )
| ( ( product @ SV4 @ SV14 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(117,plain,
! [SV16: $i,SV25: $i,SV32: $i,SV6: $i] :
( ( ( ~ ( product @ SV6 @ SV32 @ SV25 ) )
= $true )
| ( ( SV16 = SV32 )
= $true )
| ( ( product @ SV6 @ SV16 @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(118,plain,
! [SV17: $i,SV7: $i,SV30: $i] :
( ( ( divides @ SV30 @ SV7 )
= $false )
| ( ( divides @ SV30 @ SV17 )
= $true )
| ( ( divides @ SV7 @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(119,plain,
! [SV26: $i,SV33: $i,SV18: $i,SV8: $i] :
( ( ( ~ ( product @ SV8 @ SV18 @ SV33 ) )
= $true )
| ( ( SV33 = SV26 )
= $true )
| ( ( product @ SV8 @ SV18 @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(120,plain,
! [SV11: $i,SV21: $i,SV31: $i] :
( ( ( product @ SV31 @ SV31 @ SV21 )
= $false )
| ( ( ~ ( prime @ SV11 )
| ( divides @ SV11 @ SV31 ) )
= $true )
| ( ( divides @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(121,plain,
! [SV22: $i,SV3: $i,SV13: $i,SV34: $i,SV28: $i] :
( ( ( ~ ( product @ SV28 @ SV34 @ SV13 ) )
= $true )
| ( ( ! [SY91: $i] :
( ~ ( product @ SV3 @ SV28 @ SY91 )
| ( product @ SY91 @ SV34 @ SV22 ) ) )
= $true )
| ( ( product @ SV3 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(122,plain,
! [SV23: $i,SV4: $i,SV35: $i,SV14: $i,SV29: $i] :
( ( ( ~ ( product @ SV29 @ SV14 @ SV35 ) )
= $true )
| ( ( ! [SY92: $i] :
( ~ ( product @ SY92 @ SV29 @ SV4 )
| ( product @ SY92 @ SV35 @ SV23 ) ) )
= $true )
| ( ( product @ SV4 @ SV14 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(123,plain,
! [SV16: $i,SV25: $i,SV32: $i,SV6: $i] :
( ( ( product @ SV6 @ SV32 @ SV25 )
= $false )
| ( ( SV16 = SV32 )
= $true )
| ( ( product @ SV6 @ SV16 @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(124,plain,
! [SV26: $i,SV33: $i,SV18: $i,SV8: $i] :
( ( ( product @ SV8 @ SV18 @ SV33 )
= $false )
| ( ( SV33 = SV26 )
= $true )
| ( ( product @ SV8 @ SV18 @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(125,plain,
! [SV21: $i,SV31: $i,SV11: $i] :
( ( ( ~ ( prime @ SV11 ) )
= $true )
| ( ( divides @ SV11 @ SV31 )
= $true )
| ( ( product @ SV31 @ SV31 @ SV21 )
= $false )
| ( ( divides @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(126,plain,
! [SV22: $i,SV3: $i,SV13: $i,SV34: $i,SV28: $i] :
( ( ( product @ SV28 @ SV34 @ SV13 )
= $false )
| ( ( ! [SY91: $i] :
( ~ ( product @ SV3 @ SV28 @ SY91 )
| ( product @ SY91 @ SV34 @ SV22 ) ) )
= $true )
| ( ( product @ SV3 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(127,plain,
! [SV23: $i,SV4: $i,SV35: $i,SV14: $i,SV29: $i] :
( ( ( product @ SV29 @ SV14 @ SV35 )
= $false )
| ( ( ! [SY92: $i] :
( ~ ( product @ SY92 @ SV29 @ SV4 )
| ( product @ SY92 @ SV35 @ SV23 ) ) )
= $true )
| ( ( product @ SV4 @ SV14 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(128,plain,
! [SV21: $i,SV31: $i,SV11: $i] :
( ( ( prime @ SV11 )
= $false )
| ( ( divides @ SV11 @ SV31 )
= $true )
| ( ( product @ SV31 @ SV31 @ SV21 )
= $false )
| ( ( divides @ SV11 @ SV21 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(129,plain,
! [SV13: $i,SV22: $i,SV34: $i,SV36: $i,SV28: $i,SV3: $i] :
( ( ( ~ ( product @ SV3 @ SV28 @ SV36 )
| ( product @ SV36 @ SV34 @ SV22 ) )
= $true )
| ( ( product @ SV28 @ SV34 @ SV13 )
= $false )
| ( ( product @ SV3 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(130,plain,
! [SV14: $i,SV23: $i,SV35: $i,SV4: $i,SV29: $i,SV37: $i] :
( ( ( ~ ( product @ SV37 @ SV29 @ SV4 )
| ( product @ SV37 @ SV35 @ SV23 ) )
= $true )
| ( ( product @ SV29 @ SV14 @ SV35 )
= $false )
| ( ( product @ SV4 @ SV14 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(131,plain,
! [SV13: $i,SV22: $i,SV34: $i,SV36: $i,SV28: $i,SV3: $i] :
( ( ( ~ ( product @ SV3 @ SV28 @ SV36 ) )
= $true )
| ( ( product @ SV36 @ SV34 @ SV22 )
= $true )
| ( ( product @ SV28 @ SV34 @ SV13 )
= $false )
| ( ( product @ SV3 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(132,plain,
! [SV14: $i,SV23: $i,SV35: $i,SV4: $i,SV29: $i,SV37: $i] :
( ( ( ~ ( product @ SV37 @ SV29 @ SV4 ) )
= $true )
| ( ( product @ SV37 @ SV35 @ SV23 )
= $true )
| ( ( product @ SV29 @ SV14 @ SV35 )
= $false )
| ( ( product @ SV4 @ SV14 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(133,plain,
! [SV13: $i,SV22: $i,SV34: $i,SV36: $i,SV28: $i,SV3: $i] :
( ( ( product @ SV3 @ SV28 @ SV36 )
= $false )
| ( ( product @ SV36 @ SV34 @ SV22 )
= $true )
| ( ( product @ SV28 @ SV34 @ SV13 )
= $false )
| ( ( product @ SV3 @ SV13 @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(134,plain,
! [SV14: $i,SV23: $i,SV35: $i,SV4: $i,SV29: $i,SV37: $i] :
( ( ( product @ SV37 @ SV29 @ SV4 )
= $false )
| ( ( product @ SV37 @ SV35 @ SV23 )
= $true )
| ( ( product @ SV29 @ SV14 @ SV35 )
= $false )
| ( ( product @ SV4 @ SV14 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(135,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[42,134,133,128,124,123,118,107,103,98,91,71,69,58,44,43]) ).
thf(136,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM017-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 09:27:52 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.36
% 0.12/0.36 No.of.Axioms: 15
% 0.12/0.36
% 0.12/0.36 Length.of.Defs: 0
% 0.12/0.36
% 0.12/0.36 Contains.Choice.Funs: false
% 0.12/0.37 (rf:0,axioms:15,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:17,loop_count:0,foatp_calls:0,translation:fof_full)........
% 1.05/1.27
% 1.05/1.27 ********************************
% 1.05/1.27 * All subproblems solved! *
% 1.05/1.27 ********************************
% 1.05/1.27 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:15,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:135,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.05/1.28
% 1.05/1.28 %**** Beginning of derivation protocol ****
% 1.05/1.28 % SZS output start CNFRefutation
% See solution above
% 1.05/1.28
% 1.05/1.28 %**** End of derivation protocol ****
% 1.05/1.28 %**** no. of clauses in derivation: 136 ****
% 1.05/1.28 %**** clause counter: 135 ****
% 1.05/1.28
% 1.05/1.28 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:15,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:135,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------