TSTP Solution File: RNG015-6 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n023.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 20:33:57 EDT 2022
% Result : Unsatisfiable 7.30s 7.52s
% Output : CNFRefutation 7.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 94 ( 85 unt; 9 typ; 0 def)
% Number of atoms : 219 ( 144 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 527 ( 6 ~; 0 |; 0 &; 521 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 140 ( 0 ^ 140 !; 0 ?; 140 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_add,type,
add: $i > $i > $i ).
thf(tp_additive_identity,type,
additive_identity: $i ).
thf(tp_additive_inverse,type,
additive_inverse: $i > $i ).
thf(tp_associator,type,
associator: $i > $i > $i > $i ).
thf(tp_commutator,type,
commutator: $i > $i > $i ).
thf(tp_multiply,type,
multiply: $i > $i > $i ).
thf(tp_x,type,
x: $i ).
thf(tp_y,type,
y: $i ).
thf(tp_z,type,
z: $i ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ( commutator @ X @ Y )
= ( add @ ( multiply @ Y @ X ) @ ( additive_inverse @ ( multiply @ X @ Y ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutator) ).
thf(2,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( associator @ X @ Y @ Z )
= ( add @ ( multiply @ ( multiply @ X @ Y ) @ Z ) @ ( additive_inverse @ ( multiply @ X @ ( multiply @ Y @ Z ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associator) ).
thf(3,axiom,
! [X: $i,Y: $i] :
( ( multiply @ ( multiply @ X @ X ) @ Y )
= ( multiply @ X @ ( multiply @ X @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_alternative) ).
thf(4,axiom,
! [X: $i,Y: $i] :
( ( multiply @ ( multiply @ X @ Y ) @ Y )
= ( multiply @ X @ ( multiply @ Y @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_alternative) ).
thf(5,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( add @ X @ ( add @ Y @ Z ) )
= ( add @ ( add @ X @ Y ) @ Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_for_addition) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ( add @ X @ Y )
= ( add @ Y @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_for_addition) ).
thf(7,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( multiply @ ( add @ X @ Y ) @ Z )
= ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute2) ).
thf(8,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( multiply @ X @ ( add @ Y @ Z ) )
= ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute1) ).
thf(9,axiom,
! [X: $i] :
( ( additive_inverse @ ( additive_inverse @ X ) )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
thf(10,axiom,
! [X: $i] :
( ( add @ X @ ( additive_inverse @ X ) )
= additive_identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_additive_inverse) ).
thf(11,axiom,
! [X: $i] :
( ( add @ ( additive_inverse @ X ) @ X )
= additive_identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_inverse) ).
thf(12,axiom,
! [X: $i] :
( ( multiply @ X @ additive_identity )
= additive_identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_multiplicative_zero) ).
thf(13,axiom,
! [X: $i] :
( ( multiply @ additive_identity @ X )
= additive_identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_multiplicative_zero) ).
thf(14,axiom,
! [X: $i] :
( ( add @ X @ additive_identity )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_additive_identity) ).
thf(15,axiom,
! [X: $i] :
( ( add @ additive_identity @ X )
= X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_additive_identity) ).
thf(16,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(17,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[16]) ).
thf(18,negated_conjecture,
( multiply @ x @ ( add @ y @ ( additive_inverse @ z ) ) )
!= ( add @ ( multiply @ x @ y ) @ ( additive_inverse @ ( multiply @ x @ z ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
thf(19,plain,
$false = $false,
inference(unfold_def,[status(thm)],[17]) ).
thf(20,plain,
( ( ! [X: $i,Y: $i] :
( ( commutator @ X @ Y )
= ( add @ ( multiply @ Y @ X ) @ ( additive_inverse @ ( multiply @ X @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(21,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( associator @ X @ Y @ Z )
= ( add @ ( multiply @ ( multiply @ X @ Y ) @ Z ) @ ( additive_inverse @ ( multiply @ X @ ( multiply @ Y @ Z ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(22,plain,
( ( ! [X: $i,Y: $i] :
( ( multiply @ ( multiply @ X @ X ) @ Y )
= ( multiply @ X @ ( multiply @ X @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(23,plain,
( ( ! [X: $i,Y: $i] :
( ( multiply @ ( multiply @ X @ Y ) @ Y )
= ( multiply @ X @ ( multiply @ Y @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( add @ X @ ( add @ Y @ Z ) )
= ( add @ ( add @ X @ Y ) @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i] :
( ( add @ X @ Y )
= ( add @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( multiply @ ( add @ X @ Y ) @ Z )
= ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( multiply @ X @ ( add @ Y @ Z ) )
= ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(28,plain,
( ( ! [X: $i] :
( ( additive_inverse @ ( additive_inverse @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(29,plain,
( ( ! [X: $i] :
( ( add @ X @ ( additive_inverse @ X ) )
= additive_identity ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(30,plain,
( ( ! [X: $i] :
( ( add @ ( additive_inverse @ X ) @ X )
= additive_identity ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(31,plain,
( ( ! [X: $i] :
( ( multiply @ X @ additive_identity )
= additive_identity ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(32,plain,
( ( ! [X: $i] :
( ( multiply @ additive_identity @ X )
= additive_identity ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(33,plain,
( ( ! [X: $i] :
( ( add @ X @ additive_identity )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(34,plain,
( ( ! [X: $i] :
( ( add @ additive_identity @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(35,plain,
( ( ( ( multiply @ x @ ( add @ y @ ( additive_inverse @ z ) ) )
!= ( add @ ( multiply @ x @ y ) @ ( additive_inverse @ ( multiply @ x @ z ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(36,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[19]) ).
thf(37,plain,
( ( ( ( multiply @ x @ ( add @ y @ ( additive_inverse @ z ) ) )
!= ( add @ ( multiply @ x @ y ) @ ( additive_inverse @ ( multiply @ x @ z ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[35]) ).
thf(38,plain,
( ( ( ( multiply @ x @ ( add @ y @ ( additive_inverse @ z ) ) )
!= ( add @ ( multiply @ x @ y ) @ ( additive_inverse @ ( multiply @ x @ z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(39,plain,
( ( ! [X: $i] :
( ( add @ additive_identity @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(40,plain,
( ( ! [X: $i] :
( ( add @ X @ additive_identity )
= X ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(41,plain,
( ( ! [X: $i] :
( ( multiply @ additive_identity @ X )
= additive_identity ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(42,plain,
( ( ! [X: $i] :
( ( multiply @ X @ additive_identity )
= additive_identity ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(43,plain,
( ( ! [X: $i] :
( ( add @ ( additive_inverse @ X ) @ X )
= additive_identity ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(44,plain,
( ( ! [X: $i] :
( ( add @ X @ ( additive_inverse @ X ) )
= additive_identity ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(45,plain,
( ( ! [X: $i] :
( ( additive_inverse @ ( additive_inverse @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( multiply @ X @ ( add @ Y @ Z ) )
= ( add @ ( multiply @ X @ Y ) @ ( multiply @ X @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( multiply @ ( add @ X @ Y ) @ Z )
= ( add @ ( multiply @ X @ Z ) @ ( multiply @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(48,plain,
( ( ! [X: $i,Y: $i] :
( ( add @ X @ Y )
= ( add @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(49,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( add @ X @ ( add @ Y @ Z ) )
= ( add @ ( add @ X @ Y ) @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(50,plain,
( ( ! [X: $i,Y: $i] :
( ( multiply @ ( multiply @ X @ Y ) @ Y )
= ( multiply @ X @ ( multiply @ Y @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(51,plain,
( ( ! [X: $i,Y: $i] :
( ( multiply @ ( multiply @ X @ X ) @ Y )
= ( multiply @ X @ ( multiply @ X @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(52,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( associator @ X @ Y @ Z )
= ( add @ ( multiply @ ( multiply @ X @ Y ) @ Z ) @ ( additive_inverse @ ( multiply @ X @ ( multiply @ Y @ Z ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(53,plain,
( ( ! [X: $i,Y: $i] :
( ( commutator @ X @ Y )
= ( add @ ( multiply @ Y @ X ) @ ( additive_inverse @ ( multiply @ X @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(54,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(55,plain,
( ( ( multiply @ x @ ( add @ y @ ( additive_inverse @ z ) ) )
= ( add @ ( multiply @ x @ y ) @ ( additive_inverse @ ( multiply @ x @ z ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(56,plain,
! [SV1: $i] :
( ( ( add @ additive_identity @ SV1 )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(57,plain,
! [SV2: $i] :
( ( ( add @ SV2 @ additive_identity )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(58,plain,
! [SV3: $i] :
( ( ( multiply @ additive_identity @ SV3 )
= additive_identity )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(59,plain,
! [SV4: $i] :
( ( ( multiply @ SV4 @ additive_identity )
= additive_identity )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(60,plain,
! [SV5: $i] :
( ( ( add @ ( additive_inverse @ SV5 ) @ SV5 )
= additive_identity )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(61,plain,
! [SV6: $i] :
( ( ( add @ SV6 @ ( additive_inverse @ SV6 ) )
= additive_identity )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(62,plain,
! [SV7: $i] :
( ( ( additive_inverse @ ( additive_inverse @ SV7 ) )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(63,plain,
! [SV8: $i] :
( ( ! [SY27: $i,SY28: $i] :
( ( multiply @ SV8 @ ( add @ SY27 @ SY28 ) )
= ( add @ ( multiply @ SV8 @ SY27 ) @ ( multiply @ SV8 @ SY28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(64,plain,
! [SV9: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ( multiply @ ( add @ SV9 @ SY29 ) @ SY30 )
= ( add @ ( multiply @ SV9 @ SY30 ) @ ( multiply @ SY29 @ SY30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(65,plain,
! [SV10: $i] :
( ( ! [SY31: $i] :
( ( add @ SV10 @ SY31 )
= ( add @ SY31 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(66,plain,
! [SV11: $i] :
( ( ! [SY32: $i,SY33: $i] :
( ( add @ SV11 @ ( add @ SY32 @ SY33 ) )
= ( add @ ( add @ SV11 @ SY32 ) @ SY33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(67,plain,
! [SV12: $i] :
( ( ! [SY34: $i] :
( ( multiply @ ( multiply @ SV12 @ SY34 ) @ SY34 )
= ( multiply @ SV12 @ ( multiply @ SY34 @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(68,plain,
! [SV13: $i] :
( ( ! [SY35: $i] :
( ( multiply @ ( multiply @ SV13 @ SV13 ) @ SY35 )
= ( multiply @ SV13 @ ( multiply @ SV13 @ SY35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(69,plain,
! [SV14: $i] :
( ( ! [SY36: $i,SY37: $i] :
( ( associator @ SV14 @ SY36 @ SY37 )
= ( add @ ( multiply @ ( multiply @ SV14 @ SY36 ) @ SY37 ) @ ( additive_inverse @ ( multiply @ SV14 @ ( multiply @ SY36 @ SY37 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(70,plain,
! [SV15: $i] :
( ( ! [SY38: $i] :
( ( commutator @ SV15 @ SY38 )
= ( add @ ( multiply @ SY38 @ SV15 ) @ ( additive_inverse @ ( multiply @ SV15 @ SY38 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(71,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(72,plain,
! [SV16: $i,SV8: $i] :
( ( ! [SY39: $i] :
( ( multiply @ SV8 @ ( add @ SV16 @ SY39 ) )
= ( add @ ( multiply @ SV8 @ SV16 ) @ ( multiply @ SV8 @ SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(73,plain,
! [SV17: $i,SV9: $i] :
( ( ! [SY40: $i] :
( ( multiply @ ( add @ SV9 @ SV17 ) @ SY40 )
= ( add @ ( multiply @ SV9 @ SY40 ) @ ( multiply @ SV17 @ SY40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(74,plain,
! [SV18: $i,SV10: $i] :
( ( ( add @ SV10 @ SV18 )
= ( add @ SV18 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(75,plain,
! [SV19: $i,SV11: $i] :
( ( ! [SY41: $i] :
( ( add @ SV11 @ ( add @ SV19 @ SY41 ) )
= ( add @ ( add @ SV11 @ SV19 ) @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(76,plain,
! [SV20: $i,SV12: $i] :
( ( ( multiply @ ( multiply @ SV12 @ SV20 ) @ SV20 )
= ( multiply @ SV12 @ ( multiply @ SV20 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(77,plain,
! [SV21: $i,SV13: $i] :
( ( ( multiply @ ( multiply @ SV13 @ SV13 ) @ SV21 )
= ( multiply @ SV13 @ ( multiply @ SV13 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(78,plain,
! [SV22: $i,SV14: $i] :
( ( ! [SY42: $i] :
( ( associator @ SV14 @ SV22 @ SY42 )
= ( add @ ( multiply @ ( multiply @ SV14 @ SV22 ) @ SY42 ) @ ( additive_inverse @ ( multiply @ SV14 @ ( multiply @ SV22 @ SY42 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(79,plain,
! [SV23: $i,SV15: $i] :
( ( ( commutator @ SV15 @ SV23 )
= ( add @ ( multiply @ SV23 @ SV15 ) @ ( additive_inverse @ ( multiply @ SV15 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(80,plain,
! [SV24: $i,SV16: $i,SV8: $i] :
( ( ( multiply @ SV8 @ ( add @ SV16 @ SV24 ) )
= ( add @ ( multiply @ SV8 @ SV16 ) @ ( multiply @ SV8 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(81,plain,
! [SV25: $i,SV17: $i,SV9: $i] :
( ( ( multiply @ ( add @ SV9 @ SV17 ) @ SV25 )
= ( add @ ( multiply @ SV9 @ SV25 ) @ ( multiply @ SV17 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(82,plain,
! [SV26: $i,SV19: $i,SV11: $i] :
( ( ( add @ SV11 @ ( add @ SV19 @ SV26 ) )
= ( add @ ( add @ SV11 @ SV19 ) @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(83,plain,
! [SV27: $i,SV22: $i,SV14: $i] :
( ( ( associator @ SV14 @ SV22 @ SV27 )
= ( add @ ( multiply @ ( multiply @ SV14 @ SV22 ) @ SV27 ) @ ( additive_inverse @ ( multiply @ SV14 @ ( multiply @ SV22 @ SV27 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(84,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[55,83,82,81,80,79,77,76,74,71,62,61,60,59,58,57,56]) ).
thf(85,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG015-6 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 14:41:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.36
% 0.20/0.36 No.of.Axioms: 16
% 0.20/0.36
% 0.20/0.36 Length.of.Defs: 0
% 0.20/0.36
% 0.20/0.36 Contains.Choice.Funs: false
% 0.20/0.36 (rf:0,axioms:16,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:18,loop_count:0,foatp_calls:0,translation:fof_full)....
% 7.30/7.52
% 7.30/7.52 ********************************
% 7.30/7.52 * All subproblems solved! *
% 7.30/7.52 ********************************
% 7.30/7.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,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:84,loop_count:0,foatp_calls:1,translation:fof_full)
% 7.30/7.52
% 7.30/7.52 %**** Beginning of derivation protocol ****
% 7.30/7.52 % SZS output start CNFRefutation
% See solution above
% 7.30/7.52
% 7.30/7.52 %**** End of derivation protocol ****
% 7.30/7.52 %**** no. of clauses in derivation: 85 ****
% 7.30/7.52 %**** clause counter: 84 ****
% 7.30/7.52
% 7.30/7.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,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:84,loop_count:0,foatp_calls:1,translation:fof_full)
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