TSTP Solution File: GRP715+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GRP715+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n009.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 : Sat Jul 16 10:19:44 EDT 2022
% Result : Theorem 37.00s 37.22s
% Output : CNFRefutation 37.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 101 ( 92 unt; 8 typ; 0 def)
% Number of atoms : 257 ( 174 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 538 ( 4 ~; 0 |; 4 &; 530 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 149 ( 0 ^ 149 !; 0 ?; 149 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_minus,type,
minus: $i > $i ).
thf(tp_mult,type,
mult: $i > $i > $i ).
thf(tp_op_0,type,
op_0: $i ).
thf(tp_op_a,type,
op_a: $i ).
thf(tp_op_b,type,
op_b: $i ).
thf(tp_plus,type,
plus: $i > $i > $i ).
thf(tp_sK1_X0,type,
sK1_X0: $i ).
thf(tp_unit,type,
unit: $i ).
thf(1,axiom,
( ( mult @ op_b @ op_a )
= unit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
thf(2,axiom,
( ( mult @ op_a @ op_b )
= unit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
thf(3,axiom,
! [A: $i] :
( ( mult @ unit @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
thf(4,axiom,
! [A: $i] :
( ( mult @ A @ unit )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ B ) )
= ( mult @ ( mult @ A @ B ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] :
( ( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ B )
= ( mult @ A @ ( mult @ ( mult @ B @ C ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ( mult @ A @ ( plus @ B @ C ) )
= ( plus @ ( mult @ A @ B ) @ ( mult @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
thf(8,axiom,
! [A: $i] :
( ( plus @ A @ ( minus @ A ) )
= op_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
thf(9,axiom,
! [A: $i] :
( ( plus @ A @ op_0 )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ( plus @ ( plus @ A @ B ) @ C )
= ( plus @ A @ ( plus @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
thf(12,conjecture,
! [X0: $i] :
( ( ( mult @ ( mult @ X0 @ op_a ) @ op_b )
= X0 )
& ( ( mult @ ( mult @ X0 @ op_b ) @ op_a )
= X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
thf(13,negated_conjecture,
( ( ! [X0: $i] :
( ( ( mult @ ( mult @ X0 @ op_a ) @ op_b )
= X0 )
& ( ( mult @ ( mult @ X0 @ op_b ) @ op_a )
= X0 ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[12]) ).
thf(14,plain,
( ( ! [X0: $i] :
( ( ( mult @ ( mult @ X0 @ op_a ) @ op_b )
= X0 )
& ( ( mult @ ( mult @ X0 @ op_b ) @ op_a )
= X0 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[13]) ).
thf(15,plain,
( ( ( mult @ op_b @ op_a )
= unit )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(16,plain,
( ( ( mult @ op_a @ op_b )
= unit )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(17,plain,
( ( ! [A: $i] :
( ( mult @ unit @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(18,plain,
( ( ! [A: $i] :
( ( mult @ A @ unit )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(19,plain,
( ( ! [B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ B ) )
= ( mult @ ( mult @ A @ B ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(20,plain,
( ( ! [C: $i,B: $i,A: $i] :
( ( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ B )
= ( mult @ A @ ( mult @ ( mult @ B @ C ) @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(21,plain,
( ( ! [C: $i,B: $i,A: $i] :
( ( mult @ A @ ( plus @ B @ C ) )
= ( plus @ ( mult @ A @ B ) @ ( mult @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(22,plain,
( ( ! [A: $i] :
( ( plus @ A @ ( minus @ A ) )
= op_0 ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(23,plain,
( ( ! [A: $i] :
( ( plus @ A @ op_0 )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(24,plain,
( ( ! [B: $i,A: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(25,plain,
( ( ! [C: $i,B: $i,A: $i] :
( ( plus @ ( plus @ A @ B ) @ C )
= ( plus @ A @ ( plus @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(26,plain,
( ( ( ( mult @ ( mult @ sK1_X0 @ op_a ) @ op_b )
= sK1_X0 )
& ( ( mult @ ( mult @ sK1_X0 @ op_b ) @ op_a )
= sK1_X0 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(27,plain,
( ( ( mult @ ( mult @ sK1_X0 @ op_a ) @ op_b )
= sK1_X0 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[26]) ).
thf(28,plain,
( ( ( mult @ ( mult @ sK1_X0 @ op_b ) @ op_a )
= sK1_X0 )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[26]) ).
thf(29,plain,
( ( ( ( mult @ ( mult @ sK1_X0 @ op_a ) @ op_b )
!= sK1_X0 ) )
= $true ),
inference(polarity_switch,[status(thm)],[27]) ).
thf(30,plain,
( ( ( ( mult @ ( mult @ sK1_X0 @ op_b ) @ op_a )
!= sK1_X0 ) )
= $true ),
inference(polarity_switch,[status(thm)],[28]) ).
thf(31,plain,
( ( ! [C: $i,B: $i,A: $i] :
( ( plus @ ( plus @ A @ B ) @ C )
= ( plus @ A @ ( plus @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(32,plain,
( ( ! [B: $i,A: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(33,plain,
( ( ! [A: $i] :
( ( plus @ A @ op_0 )
= A ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(34,plain,
( ( ! [A: $i] :
( ( plus @ A @ ( minus @ A ) )
= op_0 ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(35,plain,
( ( ! [C: $i,B: $i,A: $i] :
( ( mult @ A @ ( plus @ B @ C ) )
= ( plus @ ( mult @ A @ B ) @ ( mult @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(36,plain,
( ( ! [C: $i,B: $i,A: $i] :
( ( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ B )
= ( mult @ A @ ( mult @ ( mult @ B @ C ) @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(37,plain,
( ( ! [B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ B ) )
= ( mult @ ( mult @ A @ B ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(38,plain,
( ( ! [A: $i] :
( ( mult @ A @ unit )
= A ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(39,plain,
( ( ! [A: $i] :
( ( mult @ unit @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(40,plain,
( ( ( mult @ op_a @ op_b )
= unit )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(41,plain,
( ( ( mult @ op_b @ op_a )
= unit )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(42,plain,
( ( ( ( mult @ ( mult @ sK1_X0 @ op_a ) @ op_b )
!= sK1_X0 ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(43,plain,
! [SV1: $i] :
( ( ! [SY18: $i,SY19: $i] :
( ( plus @ ( plus @ SY19 @ SY18 ) @ SV1 )
= ( plus @ SY19 @ ( plus @ SY18 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(44,plain,
! [SV2: $i] :
( ( ! [SY20: $i] :
( ( plus @ SY20 @ SV2 )
= ( plus @ SV2 @ SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(45,plain,
! [SV3: $i] :
( ( ( plus @ SV3 @ op_0 )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(46,plain,
! [SV4: $i] :
( ( ( plus @ SV4 @ ( minus @ SV4 ) )
= op_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(47,plain,
! [SV5: $i] :
( ( ! [SY21: $i,SY22: $i] :
( ( mult @ SY22 @ ( plus @ SY21 @ SV5 ) )
= ( plus @ ( mult @ SY22 @ SY21 ) @ ( mult @ SY22 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(48,plain,
! [SV6: $i] :
( ( ! [SY23: $i,SY24: $i] :
( ( mult @ ( mult @ ( mult @ SY24 @ SY23 ) @ SV6 ) @ SY23 )
= ( mult @ SY24 @ ( mult @ ( mult @ SY23 @ SV6 ) @ SY23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(49,plain,
! [SV7: $i] :
( ( ! [SY25: $i] :
( ( mult @ SY25 @ ( mult @ SV7 @ SV7 ) )
= ( mult @ ( mult @ SY25 @ SV7 ) @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(50,plain,
! [SV8: $i] :
( ( ( mult @ SV8 @ unit )
= SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(51,plain,
! [SV9: $i] :
( ( ( mult @ unit @ SV9 )
= SV9 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(52,plain,
( ( ( mult @ ( mult @ sK1_X0 @ op_a ) @ op_b )
= sK1_X0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(53,plain,
! [SV1: $i,SV10: $i] :
( ( ! [SY26: $i] :
( ( plus @ ( plus @ SY26 @ SV10 ) @ SV1 )
= ( plus @ SY26 @ ( plus @ SV10 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(54,plain,
! [SV2: $i,SV11: $i] :
( ( ( plus @ SV11 @ SV2 )
= ( plus @ SV2 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(55,plain,
! [SV5: $i,SV12: $i] :
( ( ! [SY27: $i] :
( ( mult @ SY27 @ ( plus @ SV12 @ SV5 ) )
= ( plus @ ( mult @ SY27 @ SV12 ) @ ( mult @ SY27 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV6: $i,SV13: $i] :
( ( ! [SY28: $i] :
( ( mult @ ( mult @ ( mult @ SY28 @ SV13 ) @ SV6 ) @ SV13 )
= ( mult @ SY28 @ ( mult @ ( mult @ SV13 @ SV6 ) @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(57,plain,
! [SV7: $i,SV14: $i] :
( ( ( mult @ SV14 @ ( mult @ SV7 @ SV7 ) )
= ( mult @ ( mult @ SV14 @ SV7 ) @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(58,plain,
! [SV1: $i,SV10: $i,SV15: $i] :
( ( ( plus @ ( plus @ SV15 @ SV10 ) @ SV1 )
= ( plus @ SV15 @ ( plus @ SV10 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV5: $i,SV12: $i,SV16: $i] :
( ( ( mult @ SV16 @ ( plus @ SV12 @ SV5 ) )
= ( plus @ ( mult @ SV16 @ SV12 ) @ ( mult @ SV16 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV6: $i,SV13: $i,SV17: $i] :
( ( ( mult @ ( mult @ ( mult @ SV17 @ SV13 ) @ SV6 ) @ SV13 )
= ( mult @ SV17 @ ( mult @ ( mult @ SV13 @ SV6 ) @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(61,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[40,60,59,58,57,54,52,51,50,46,45,41]) ).
thf(62,plain,
( ( ! [C: $i,B: $i,A: $i] :
( ( plus @ ( plus @ A @ B ) @ C )
= ( plus @ A @ ( plus @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(63,plain,
( ( ! [B: $i,A: $i] :
( ( plus @ A @ B )
= ( plus @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(64,plain,
( ( ! [A: $i] :
( ( plus @ A @ op_0 )
= A ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(65,plain,
( ( ! [A: $i] :
( ( plus @ A @ ( minus @ A ) )
= op_0 ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(66,plain,
( ( ! [C: $i,B: $i,A: $i] :
( ( mult @ A @ ( plus @ B @ C ) )
= ( plus @ ( mult @ A @ B ) @ ( mult @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(67,plain,
( ( ! [C: $i,B: $i,A: $i] :
( ( mult @ ( mult @ ( mult @ A @ B ) @ C ) @ B )
= ( mult @ A @ ( mult @ ( mult @ B @ C ) @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(68,plain,
( ( ! [B: $i,A: $i] :
( ( mult @ A @ ( mult @ B @ B ) )
= ( mult @ ( mult @ A @ B ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(69,plain,
( ( ! [A: $i] :
( ( mult @ A @ unit )
= A ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(70,plain,
( ( ! [A: $i] :
( ( mult @ unit @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(71,plain,
( ( ( mult @ op_a @ op_b )
= unit )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(72,plain,
( ( ( mult @ op_b @ op_a )
= unit )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(73,plain,
( ( ( ( mult @ ( mult @ sK1_X0 @ op_b ) @ op_a )
!= sK1_X0 ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(74,plain,
! [SV18: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ( plus @ ( plus @ SY30 @ SY29 ) @ SV18 )
= ( plus @ SY30 @ ( plus @ SY29 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(75,plain,
! [SV19: $i] :
( ( ! [SY31: $i] :
( ( plus @ SY31 @ SV19 )
= ( plus @ SV19 @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(76,plain,
! [SV20: $i] :
( ( ( plus @ SV20 @ op_0 )
= SV20 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(77,plain,
! [SV21: $i] :
( ( ( plus @ SV21 @ ( minus @ SV21 ) )
= op_0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(78,plain,
! [SV22: $i] :
( ( ! [SY32: $i,SY33: $i] :
( ( mult @ SY33 @ ( plus @ SY32 @ SV22 ) )
= ( plus @ ( mult @ SY33 @ SY32 ) @ ( mult @ SY33 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(79,plain,
! [SV23: $i] :
( ( ! [SY34: $i,SY35: $i] :
( ( mult @ ( mult @ ( mult @ SY35 @ SY34 ) @ SV23 ) @ SY34 )
= ( mult @ SY35 @ ( mult @ ( mult @ SY34 @ SV23 ) @ SY34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(80,plain,
! [SV24: $i] :
( ( ! [SY36: $i] :
( ( mult @ SY36 @ ( mult @ SV24 @ SV24 ) )
= ( mult @ ( mult @ SY36 @ SV24 ) @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(81,plain,
! [SV25: $i] :
( ( ( mult @ SV25 @ unit )
= SV25 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(82,plain,
! [SV26: $i] :
( ( ( mult @ unit @ SV26 )
= SV26 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(83,plain,
( ( ( mult @ ( mult @ sK1_X0 @ op_b ) @ op_a )
= sK1_X0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(84,plain,
! [SV18: $i,SV27: $i] :
( ( ! [SY37: $i] :
( ( plus @ ( plus @ SY37 @ SV27 ) @ SV18 )
= ( plus @ SY37 @ ( plus @ SV27 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(85,plain,
! [SV19: $i,SV28: $i] :
( ( ( plus @ SV28 @ SV19 )
= ( plus @ SV19 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(86,plain,
! [SV22: $i,SV29: $i] :
( ( ! [SY38: $i] :
( ( mult @ SY38 @ ( plus @ SV29 @ SV22 ) )
= ( plus @ ( mult @ SY38 @ SV29 ) @ ( mult @ SY38 @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(87,plain,
! [SV23: $i,SV30: $i] :
( ( ! [SY39: $i] :
( ( mult @ ( mult @ ( mult @ SY39 @ SV30 ) @ SV23 ) @ SV30 )
= ( mult @ SY39 @ ( mult @ ( mult @ SV30 @ SV23 ) @ SV30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(88,plain,
! [SV24: $i,SV31: $i] :
( ( ( mult @ SV31 @ ( mult @ SV24 @ SV24 ) )
= ( mult @ ( mult @ SV31 @ SV24 ) @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(89,plain,
! [SV18: $i,SV27: $i,SV32: $i] :
( ( ( plus @ ( plus @ SV32 @ SV27 ) @ SV18 )
= ( plus @ SV32 @ ( plus @ SV27 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(90,plain,
! [SV22: $i,SV29: $i,SV33: $i] :
( ( ( mult @ SV33 @ ( plus @ SV29 @ SV22 ) )
= ( plus @ ( mult @ SV33 @ SV29 ) @ ( mult @ SV33 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(91,plain,
! [SV23: $i,SV30: $i,SV34: $i] :
( ( ( mult @ ( mult @ ( mult @ SV34 @ SV30 ) @ SV23 ) @ SV30 )
= ( mult @ SV34 @ ( mult @ ( mult @ SV30 @ SV23 ) @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(92,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[71,91,90,89,88,85,83,82,81,77,76,72]) ).
thf(93,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[92,61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP715+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n009.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 Jun 13 10:59:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 11
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:11,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:13,loop_count:0,foatp_calls:0,translation:fof_full)....
% 37.00/37.22
% 37.00/37.22 ********************************
% 37.00/37.22 * All subproblems solved! *
% 37.00/37.22 ********************************
% 37.00/37.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:56,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:92,loop_count:0,foatp_calls:1,translation:fof_full)
% 37.00/37.23
% 37.00/37.23 %**** Beginning of derivation protocol ****
% 37.00/37.23 % SZS output start CNFRefutation
% See solution above
% 37.00/37.23
% 37.00/37.23 %**** End of derivation protocol ****
% 37.00/37.23 %**** no. of clauses in derivation: 93 ****
% 37.00/37.23 %**** clause counter: 92 ****
% 37.00/37.23
% 37.00/37.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:56,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:92,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------