TSTP Solution File: GRP683+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GRP683+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 : n005.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 10:19:33 EDT 2022
% Result : Theorem 1.72s 1.98s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 83 ( 76 unt; 6 typ; 0 def)
% Number of atoms : 219 ( 148 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 826 ( 4 ~; 0 |; 6 &; 816 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 168 ( 0 ^ 168 !; 0 ?; 168 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_ld,type,
ld: $i > $i > $i ).
thf(tp_mult,type,
mult: $i > $i > $i ).
thf(tp_rd,type,
rd: $i > $i > $i ).
thf(tp_sK1_X3,type,
sK1_X3: $i ).
thf(tp_sK2_SY19,type,
sK2_SY19: $i ).
thf(tp_sK3_SY21,type,
sK3_SY21: $i ).
thf(1,axiom,
! [B: $i,A: $i] :
( ( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) )
= ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
thf(2,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) )
= ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) )
= ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= ( rd @ ( mult @ A @ B ) @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ( mult @ A @ ( ld @ A @ B ) )
= ( ld @ A @ ( mult @ A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
thf(6,axiom,
! [A: $i] :
( ( rd @ ( mult @ A @ A ) @ A )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
thf(7,axiom,
! [A: $i] :
( ( ld @ A @ ( mult @ A @ A ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
thf(8,conjecture,
! [X3: $i,X4: $i,X5: $i] :
( ( ( mult @ X3 @ ( ld @ X4 @ ( mult @ X4 @ X5 ) ) )
= ( mult @ X3 @ X5 ) )
& ( ( mult @ ( rd @ ( mult @ X3 @ X4 ) @ X4 ) @ X5 )
= ( mult @ X3 @ X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
thf(9,negated_conjecture,
( ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( mult @ X3 @ ( ld @ X4 @ ( mult @ X4 @ X5 ) ) )
= ( mult @ X3 @ X5 ) )
& ( ( mult @ ( rd @ ( mult @ X3 @ X4 ) @ X4 ) @ X5 )
= ( mult @ X3 @ X5 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[8]) ).
thf(10,plain,
( ( ! [X3: $i,X4: $i,X5: $i] :
( ( ( mult @ X3 @ ( ld @ X4 @ ( mult @ X4 @ X5 ) ) )
= ( mult @ X3 @ X5 ) )
& ( ( mult @ ( rd @ ( mult @ X3 @ X4 ) @ X4 ) @ X5 )
= ( mult @ X3 @ X5 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [B: $i,A: $i] :
( ( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) )
= ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(12,plain,
( ( ! [D: $i,C: $i,B: $i,A: $i] :
( ( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) )
= ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(13,plain,
( ( ! [D: $i,C: $i,B: $i,A: $i] :
( ( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) )
= ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(14,plain,
( ( ! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= ( rd @ ( mult @ A @ B ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(15,plain,
( ( ! [B: $i,A: $i] :
( ( mult @ A @ ( ld @ A @ B ) )
= ( ld @ A @ ( mult @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(16,plain,
( ( ! [A: $i] :
( ( rd @ ( mult @ A @ A ) @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(17,plain,
( ( ! [A: $i] :
( ( ld @ A @ ( mult @ A @ A ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(18,plain,
( ( ! [SY19: $i,SY20: $i] :
( ( ( mult @ sK1_X3 @ ( ld @ SY19 @ ( mult @ SY19 @ SY20 ) ) )
= ( mult @ sK1_X3 @ SY20 ) )
& ( ( mult @ ( rd @ ( mult @ sK1_X3 @ SY19 ) @ SY19 ) @ SY20 )
= ( mult @ sK1_X3 @ SY20 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(19,plain,
( ( ! [SY21: $i] :
( ( ( mult @ sK1_X3 @ ( ld @ sK2_SY19 @ ( mult @ sK2_SY19 @ SY21 ) ) )
= ( mult @ sK1_X3 @ SY21 ) )
& ( ( mult @ ( rd @ ( mult @ sK1_X3 @ sK2_SY19 ) @ sK2_SY19 ) @ SY21 )
= ( mult @ sK1_X3 @ SY21 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[18]) ).
thf(20,plain,
( ( ( ( mult @ sK1_X3 @ ( ld @ sK2_SY19 @ ( mult @ sK2_SY19 @ sK3_SY21 ) ) )
= ( mult @ sK1_X3 @ sK3_SY21 ) )
& ( ( mult @ ( rd @ ( mult @ sK1_X3 @ sK2_SY19 ) @ sK2_SY19 ) @ sK3_SY21 )
= ( mult @ sK1_X3 @ sK3_SY21 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[19]) ).
thf(21,plain,
( ( ( mult @ sK1_X3 @ ( ld @ sK2_SY19 @ ( mult @ sK2_SY19 @ sK3_SY21 ) ) )
= ( mult @ sK1_X3 @ sK3_SY21 ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(22,plain,
( ( ( mult @ ( rd @ ( mult @ sK1_X3 @ sK2_SY19 ) @ sK2_SY19 ) @ sK3_SY21 )
= ( mult @ sK1_X3 @ sK3_SY21 ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(23,plain,
( ( ( ( mult @ sK1_X3 @ ( ld @ sK2_SY19 @ ( mult @ sK2_SY19 @ sK3_SY21 ) ) )
!= ( mult @ sK1_X3 @ sK3_SY21 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ( mult @ ( rd @ ( mult @ sK1_X3 @ sK2_SY19 ) @ sK2_SY19 ) @ sK3_SY21 )
!= ( mult @ sK1_X3 @ sK3_SY21 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(25,plain,
( ( ! [A: $i] :
( ( ld @ A @ ( mult @ A @ A ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(26,plain,
( ( ! [A: $i] :
( ( rd @ ( mult @ A @ A ) @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(27,plain,
( ( ! [B: $i,A: $i] :
( ( mult @ A @ ( ld @ A @ B ) )
= ( ld @ A @ ( mult @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(28,plain,
( ( ! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= ( rd @ ( mult @ A @ B ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(29,plain,
( ( ! [D: $i,C: $i,B: $i,A: $i] :
( ( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) )
= ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(30,plain,
( ( ! [D: $i,C: $i,B: $i,A: $i] :
( ( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) )
= ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(31,plain,
( ( ! [B: $i,A: $i] :
( ( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) )
= ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(32,plain,
( ( ( ( mult @ sK1_X3 @ ( ld @ sK2_SY19 @ ( mult @ sK2_SY19 @ sK3_SY21 ) ) )
!= ( mult @ sK1_X3 @ sK3_SY21 ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(33,plain,
! [SV1: $i] :
( ( ( ld @ SV1 @ ( mult @ SV1 @ SV1 ) )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(34,plain,
! [SV2: $i] :
( ( ( rd @ ( mult @ SV2 @ SV2 ) @ SV2 )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(35,plain,
! [SV3: $i] :
( ( ! [SY22: $i] :
( ( mult @ SY22 @ ( ld @ SY22 @ SV3 ) )
= ( ld @ SY22 @ ( mult @ SY22 @ SV3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(36,plain,
! [SV4: $i] :
( ( ! [SY23: $i] :
( ( mult @ ( rd @ SY23 @ SV4 ) @ SV4 )
= ( rd @ ( mult @ SY23 @ SV4 ) @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(37,plain,
! [SV5: $i] :
( ( ! [SY24: $i,SY25: $i,SY26: $i] :
( ( ld @ ( ld @ SY26 @ SY25 ) @ ( mult @ ( ld @ SY26 @ SY25 ) @ ( mult @ SY24 @ SV5 ) ) )
= ( mult @ ( ld @ SY26 @ ( mult @ SY26 @ SY24 ) ) @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(38,plain,
! [SV6: $i] :
( ( ! [SY27: $i,SY28: $i,SY29: $i] :
( ( rd @ ( mult @ ( mult @ SY29 @ SY28 ) @ ( rd @ SY27 @ SV6 ) ) @ ( rd @ SY27 @ SV6 ) )
= ( mult @ SY29 @ ( rd @ ( mult @ SY28 @ SV6 ) @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(39,plain,
! [SV7: $i] :
( ( ! [SY30: $i] :
( ( ld @ SY30 @ ( mult @ SY30 @ ( ld @ SV7 @ SV7 ) ) )
= ( rd @ ( mult @ ( rd @ SY30 @ SY30 ) @ SV7 ) @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(40,plain,
( ( ( mult @ sK1_X3 @ ( ld @ sK2_SY19 @ ( mult @ sK2_SY19 @ sK3_SY21 ) ) )
= ( mult @ sK1_X3 @ sK3_SY21 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(41,plain,
! [SV3: $i,SV8: $i] :
( ( ( mult @ SV8 @ ( ld @ SV8 @ SV3 ) )
= ( ld @ SV8 @ ( mult @ SV8 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV4: $i,SV9: $i] :
( ( ( mult @ ( rd @ SV9 @ SV4 ) @ SV4 )
= ( rd @ ( mult @ SV9 @ SV4 ) @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV5: $i,SV10: $i] :
( ( ! [SY31: $i,SY32: $i] :
( ( ld @ ( ld @ SY32 @ SY31 ) @ ( mult @ ( ld @ SY32 @ SY31 ) @ ( mult @ SV10 @ SV5 ) ) )
= ( mult @ ( ld @ SY32 @ ( mult @ SY32 @ SV10 ) ) @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV6: $i,SV11: $i] :
( ( ! [SY33: $i,SY34: $i] :
( ( rd @ ( mult @ ( mult @ SY34 @ SY33 ) @ ( rd @ SV11 @ SV6 ) ) @ ( rd @ SV11 @ SV6 ) )
= ( mult @ SY34 @ ( rd @ ( mult @ SY33 @ SV6 ) @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV7: $i,SV12: $i] :
( ( ( ld @ SV12 @ ( mult @ SV12 @ ( ld @ SV7 @ SV7 ) ) )
= ( rd @ ( mult @ ( rd @ SV12 @ SV12 ) @ SV7 ) @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV5: $i,SV10: $i,SV13: $i] :
( ( ! [SY35: $i] :
( ( ld @ ( ld @ SY35 @ SV13 ) @ ( mult @ ( ld @ SY35 @ SV13 ) @ ( mult @ SV10 @ SV5 ) ) )
= ( mult @ ( ld @ SY35 @ ( mult @ SY35 @ SV10 ) ) @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(47,plain,
! [SV6: $i,SV11: $i,SV14: $i] :
( ( ! [SY36: $i] :
( ( rd @ ( mult @ ( mult @ SY36 @ SV14 ) @ ( rd @ SV11 @ SV6 ) ) @ ( rd @ SV11 @ SV6 ) )
= ( mult @ SY36 @ ( rd @ ( mult @ SV14 @ SV6 ) @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(48,plain,
! [SV5: $i,SV10: $i,SV13: $i,SV15: $i] :
( ( ( ld @ ( ld @ SV15 @ SV13 ) @ ( mult @ ( ld @ SV15 @ SV13 ) @ ( mult @ SV10 @ SV5 ) ) )
= ( mult @ ( ld @ SV15 @ ( mult @ SV15 @ SV10 ) ) @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV6: $i,SV11: $i,SV14: $i,SV16: $i] :
( ( ( rd @ ( mult @ ( mult @ SV16 @ SV14 ) @ ( rd @ SV11 @ SV6 ) ) @ ( rd @ SV11 @ SV6 ) )
= ( mult @ SV16 @ ( rd @ ( mult @ SV14 @ SV6 ) @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(50,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[33,49,48,45,42,41,40,34]) ).
thf(51,plain,
( ( ! [A: $i] :
( ( ld @ A @ ( mult @ A @ A ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(52,plain,
( ( ! [A: $i] :
( ( rd @ ( mult @ A @ A ) @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(53,plain,
( ( ! [B: $i,A: $i] :
( ( mult @ A @ ( ld @ A @ B ) )
= ( ld @ A @ ( mult @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(54,plain,
( ( ! [B: $i,A: $i] :
( ( mult @ ( rd @ A @ B ) @ B )
= ( rd @ ( mult @ A @ B ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(55,plain,
( ( ! [D: $i,C: $i,B: $i,A: $i] :
( ( ld @ ( ld @ A @ B ) @ ( mult @ ( ld @ A @ B ) @ ( mult @ C @ D ) ) )
= ( mult @ ( ld @ A @ ( mult @ A @ C ) ) @ D ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(56,plain,
( ( ! [D: $i,C: $i,B: $i,A: $i] :
( ( rd @ ( mult @ ( mult @ A @ B ) @ ( rd @ C @ D ) ) @ ( rd @ C @ D ) )
= ( mult @ A @ ( rd @ ( mult @ B @ D ) @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(57,plain,
( ( ! [B: $i,A: $i] :
( ( ld @ A @ ( mult @ A @ ( ld @ B @ B ) ) )
= ( rd @ ( mult @ ( rd @ A @ A ) @ B ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(58,plain,
( ( ( ( mult @ ( rd @ ( mult @ sK1_X3 @ sK2_SY19 ) @ sK2_SY19 ) @ sK3_SY21 )
!= ( mult @ sK1_X3 @ sK3_SY21 ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(59,plain,
! [SV17: $i] :
( ( ( ld @ SV17 @ ( mult @ SV17 @ SV17 ) )
= SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(60,plain,
! [SV18: $i] :
( ( ( rd @ ( mult @ SV18 @ SV18 ) @ SV18 )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV19: $i] :
( ( ! [SY37: $i] :
( ( mult @ SY37 @ ( ld @ SY37 @ SV19 ) )
= ( ld @ SY37 @ ( mult @ SY37 @ SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(62,plain,
! [SV20: $i] :
( ( ! [SY38: $i] :
( ( mult @ ( rd @ SY38 @ SV20 ) @ SV20 )
= ( rd @ ( mult @ SY38 @ SV20 ) @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV21: $i] :
( ( ! [SY39: $i,SY40: $i,SY41: $i] :
( ( ld @ ( ld @ SY41 @ SY40 ) @ ( mult @ ( ld @ SY41 @ SY40 ) @ ( mult @ SY39 @ SV21 ) ) )
= ( mult @ ( ld @ SY41 @ ( mult @ SY41 @ SY39 ) ) @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV22: $i] :
( ( ! [SY42: $i,SY43: $i,SY44: $i] :
( ( rd @ ( mult @ ( mult @ SY44 @ SY43 ) @ ( rd @ SY42 @ SV22 ) ) @ ( rd @ SY42 @ SV22 ) )
= ( mult @ SY44 @ ( rd @ ( mult @ SY43 @ SV22 ) @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV23: $i] :
( ( ! [SY45: $i] :
( ( ld @ SY45 @ ( mult @ SY45 @ ( ld @ SV23 @ SV23 ) ) )
= ( rd @ ( mult @ ( rd @ SY45 @ SY45 ) @ SV23 ) @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(66,plain,
( ( ( mult @ ( rd @ ( mult @ sK1_X3 @ sK2_SY19 ) @ sK2_SY19 ) @ sK3_SY21 )
= ( mult @ sK1_X3 @ sK3_SY21 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(67,plain,
! [SV19: $i,SV24: $i] :
( ( ( mult @ SV24 @ ( ld @ SV24 @ SV19 ) )
= ( ld @ SV24 @ ( mult @ SV24 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(68,plain,
! [SV20: $i,SV25: $i] :
( ( ( mult @ ( rd @ SV25 @ SV20 ) @ SV20 )
= ( rd @ ( mult @ SV25 @ SV20 ) @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(69,plain,
! [SV21: $i,SV26: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ( ld @ ( ld @ SY47 @ SY46 ) @ ( mult @ ( ld @ SY47 @ SY46 ) @ ( mult @ SV26 @ SV21 ) ) )
= ( mult @ ( ld @ SY47 @ ( mult @ SY47 @ SV26 ) ) @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(70,plain,
! [SV22: $i,SV27: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ( rd @ ( mult @ ( mult @ SY49 @ SY48 ) @ ( rd @ SV27 @ SV22 ) ) @ ( rd @ SV27 @ SV22 ) )
= ( mult @ SY49 @ ( rd @ ( mult @ SY48 @ SV22 ) @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(71,plain,
! [SV23: $i,SV28: $i] :
( ( ( ld @ SV28 @ ( mult @ SV28 @ ( ld @ SV23 @ SV23 ) ) )
= ( rd @ ( mult @ ( rd @ SV28 @ SV28 ) @ SV23 ) @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(72,plain,
! [SV21: $i,SV26: $i,SV29: $i] :
( ( ! [SY50: $i] :
( ( ld @ ( ld @ SY50 @ SV29 ) @ ( mult @ ( ld @ SY50 @ SV29 ) @ ( mult @ SV26 @ SV21 ) ) )
= ( mult @ ( ld @ SY50 @ ( mult @ SY50 @ SV26 ) ) @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(73,plain,
! [SV22: $i,SV27: $i,SV30: $i] :
( ( ! [SY51: $i] :
( ( rd @ ( mult @ ( mult @ SY51 @ SV30 ) @ ( rd @ SV27 @ SV22 ) ) @ ( rd @ SV27 @ SV22 ) )
= ( mult @ SY51 @ ( rd @ ( mult @ SV30 @ SV22 ) @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(74,plain,
! [SV21: $i,SV26: $i,SV29: $i,SV31: $i] :
( ( ( ld @ ( ld @ SV31 @ SV29 ) @ ( mult @ ( ld @ SV31 @ SV29 ) @ ( mult @ SV26 @ SV21 ) ) )
= ( mult @ ( ld @ SV31 @ ( mult @ SV31 @ SV26 ) ) @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(75,plain,
! [SV22: $i,SV27: $i,SV30: $i,SV32: $i] :
( ( ( rd @ ( mult @ ( mult @ SV32 @ SV30 ) @ ( rd @ SV27 @ SV22 ) ) @ ( rd @ SV27 @ SV22 ) )
= ( mult @ SV32 @ ( rd @ ( mult @ SV30 @ SV22 ) @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(76,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[59,75,74,71,68,67,66,60]) ).
thf(77,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[76,50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP683+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n005.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 07:34:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 7
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:7,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:9,loop_count:0,foatp_calls:0,translation:fof_full)....
% 1.72/1.98
% 1.72/1.98 ********************************
% 1.72/1.98 * All subproblems solved! *
% 1.72/1.98 ********************************
% 1.72/1.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,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:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:76,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.72/1.98
% 1.72/1.98 %**** Beginning of derivation protocol ****
% 1.72/1.98 % SZS output start CNFRefutation
% See solution above
% 1.72/1.98
% 1.72/1.98 %**** End of derivation protocol ****
% 1.72/1.98 %**** no. of clauses in derivation: 77 ****
% 1.72/1.98 %**** clause counter: 76 ****
% 1.72/1.98
% 1.72/1.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:7,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:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:76,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------