TSTP Solution File: SYN563-10 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN563-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n016.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 : Thu Jul 21 08:28:27 EDT 2022
% Result : Unsatisfiable 9.04s 9.25s
% Output : CNFRefutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 33
% Syntax : Number of formulae : 119 ( 107 unt; 12 typ; 0 def)
% Number of atoms : 277 ( 184 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 952 ( 6 ~; 0 |; 0 &; 946 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 212 ( 0 ^ 212 !; 0 ?; 212 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_b,type,
b: $i ).
thf(tp_c7,type,
c7: $i ).
thf(tp_c8,type,
c8: $i ).
thf(tp_f3,type,
f3: $i > $i ).
thf(tp_f4,type,
f4: $i > $i ).
thf(tp_ifeq,type,
ifeq: $i > $i > $i > $i > $i ).
thf(tp_ifeq2,type,
ifeq2: $i > $i > $i > $i > $i ).
thf(tp_p2,type,
p2: $i > $i > $i ).
thf(tp_p5,type,
p5: $i > $i > $i ).
thf(tp_p6,type,
p6: $i > $i > $i ).
thf(tp_true,type,
true: $i ).
thf(1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
thf(2,axiom,
! [A: $i,B: $i,C: $i] :
( ( ifeq2 @ A @ A @ B @ C )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
thf(3,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(4,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(6,negated_conjecture,
( ( ifeq @ ( p6 @ ( f4 @ c7 ) @ ( f3 @ ( f4 @ c8 ) ) ) @ true @ a @ b )
= b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_5) ).
thf(7,negated_conjecture,
( ( ifeq @ ( p6 @ ( f4 @ c7 ) @ c8 ) @ true @ a @ b )
= b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_3) ).
thf(8,negated_conjecture,
! [X14: $i,X12: $i,X15: $i,X13: $i] :
( ( ifeq2 @ ( p2 @ X14 @ X12 ) @ true @ ( ifeq2 @ ( p2 @ X15 @ X13 ) @ true @ ( ifeq2 @ ( p5 @ X14 @ X15 ) @ true @ ( p5 @ X12 @ X13 ) @ true ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_17) ).
thf(9,negated_conjecture,
! [X25: $i,X24: $i,X26: $i,X23: $i] :
( ( ifeq2 @ ( p2 @ X25 @ X24 ) @ true @ ( ifeq2 @ ( p2 @ X26 @ X23 ) @ true @ ( ifeq2 @ ( p6 @ X26 @ X25 ) @ true @ ( p6 @ X23 @ X24 ) @ true ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_16) ).
thf(10,negated_conjecture,
! [X7: $i,X9: $i,X8: $i] :
( ( ifeq2 @ ( p6 @ X7 @ X9 ) @ true @ ( ifeq2 @ ( p5 @ X9 @ X8 ) @ true @ ( p5 @ X7 @ X8 ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_15) ).
thf(11,negated_conjecture,
! [X19: $i,X18: $i,X17: $i] :
( ( ifeq2 @ ( p6 @ X19 @ X18 ) @ true @ ( ifeq2 @ ( p6 @ X17 @ X19 ) @ true @ ( p6 @ X17 @ X18 ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_14) ).
thf(12,negated_conjecture,
! [X0: $i,X2: $i,X1: $i] :
( ( ifeq2 @ ( p2 @ X0 @ X2 ) @ true @ ( ifeq2 @ ( p2 @ X0 @ X1 ) @ true @ ( p2 @ X1 @ X2 ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
thf(13,negated_conjecture,
! [X5: $i,X6: $i] :
( ( ifeq2 @ ( p2 @ X5 @ X6 ) @ true @ ( p2 @ ( f4 @ X5 ) @ ( f4 @ X6 ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
thf(14,negated_conjecture,
! [X3: $i,X4: $i] :
( ( ifeq2 @ ( p2 @ X3 @ X4 ) @ true @ ( p2 @ ( f3 @ X3 ) @ ( f3 @ X4 ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
thf(15,negated_conjecture,
! [X10: $i,X11: $i] :
( ( ifeq2 @ ( p5 @ X10 @ X11 ) @ true @ ( p6 @ ( f4 @ X10 ) @ X11 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_10) ).
thf(16,negated_conjecture,
! [X27: $i] :
( ( ifeq2 @ ( p6 @ c7 @ X27 ) @ true @ ( p6 @ c7 @ ( f3 @ X27 ) ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_9) ).
thf(17,negated_conjecture,
! [X10: $i,X11: $i] :
( ( ifeq2 @ ( p6 @ ( f4 @ X10 ) @ X11 ) @ true @ ( p5 @ X10 @ X11 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_8) ).
thf(18,negated_conjecture,
! [X16: $i] :
( ( p5 @ ( f3 @ ( f3 @ X16 ) ) @ ( f3 @ ( f4 @ X16 ) ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_7) ).
thf(19,negated_conjecture,
! [X20: $i,X21: $i] :
( ( ifeq2 @ ( p5 @ X20 @ X21 ) @ true @ ( p6 @ X20 @ X21 ) @ true )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_6) ).
thf(20,negated_conjecture,
( ( p2 @ ( f4 @ c7 ) @ ( f4 @ c8 ) )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
thf(21,negated_conjecture,
! [X22: $i] :
( ( p6 @ X22 @ X22 )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_2) ).
thf(22,negated_conjecture,
! [X0: $i] :
( ( p2 @ X0 @ X0 )
= true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
thf(23,plain,
$false = $false,
inference(unfold_def,[status(thm)],[4]) ).
thf(24,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(25,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq2 @ A @ A @ B @ C )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(26,plain,
( ( ( a != b ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(27,plain,
( ( ( ifeq @ ( p6 @ ( f4 @ c7 ) @ ( f3 @ ( f4 @ c8 ) ) ) @ true @ a @ b )
= b )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(28,plain,
( ( ( ifeq @ ( p6 @ ( f4 @ c7 ) @ c8 ) @ true @ a @ b )
= b )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(29,plain,
( ( ! [X14: $i,X12: $i,X15: $i,X13: $i] :
( ( ifeq2 @ ( p2 @ X14 @ X12 ) @ true @ ( ifeq2 @ ( p2 @ X15 @ X13 ) @ true @ ( ifeq2 @ ( p5 @ X14 @ X15 ) @ true @ ( p5 @ X12 @ X13 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(30,plain,
( ( ! [X25: $i,X24: $i,X26: $i,X23: $i] :
( ( ifeq2 @ ( p2 @ X25 @ X24 ) @ true @ ( ifeq2 @ ( p2 @ X26 @ X23 ) @ true @ ( ifeq2 @ ( p6 @ X26 @ X25 ) @ true @ ( p6 @ X23 @ X24 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(31,plain,
( ( ! [X7: $i,X9: $i,X8: $i] :
( ( ifeq2 @ ( p6 @ X7 @ X9 ) @ true @ ( ifeq2 @ ( p5 @ X9 @ X8 ) @ true @ ( p5 @ X7 @ X8 ) @ true ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(32,plain,
( ( ! [X19: $i,X18: $i,X17: $i] :
( ( ifeq2 @ ( p6 @ X19 @ X18 ) @ true @ ( ifeq2 @ ( p6 @ X17 @ X19 ) @ true @ ( p6 @ X17 @ X18 ) @ true ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(33,plain,
( ( ! [X0: $i,X2: $i,X1: $i] :
( ( ifeq2 @ ( p2 @ X0 @ X2 ) @ true @ ( ifeq2 @ ( p2 @ X0 @ X1 ) @ true @ ( p2 @ X1 @ X2 ) @ true ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(34,plain,
( ( ! [X5: $i,X6: $i] :
( ( ifeq2 @ ( p2 @ X5 @ X6 ) @ true @ ( p2 @ ( f4 @ X5 ) @ ( f4 @ X6 ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(35,plain,
( ( ! [X3: $i,X4: $i] :
( ( ifeq2 @ ( p2 @ X3 @ X4 ) @ true @ ( p2 @ ( f3 @ X3 ) @ ( f3 @ X4 ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(36,plain,
( ( ! [X10: $i,X11: $i] :
( ( ifeq2 @ ( p5 @ X10 @ X11 ) @ true @ ( p6 @ ( f4 @ X10 ) @ X11 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(37,plain,
( ( ! [X27: $i] :
( ( ifeq2 @ ( p6 @ c7 @ X27 ) @ true @ ( p6 @ c7 @ ( f3 @ X27 ) ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(38,plain,
( ( ! [X10: $i,X11: $i] :
( ( ifeq2 @ ( p6 @ ( f4 @ X10 ) @ X11 ) @ true @ ( p5 @ X10 @ X11 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(39,plain,
( ( ! [X16: $i] :
( ( p5 @ ( f3 @ ( f3 @ X16 ) ) @ ( f3 @ ( f4 @ X16 ) ) )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(40,plain,
( ( ! [X20: $i,X21: $i] :
( ( ifeq2 @ ( p5 @ X20 @ X21 ) @ true @ ( p6 @ X20 @ X21 ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(41,plain,
( ( ( p2 @ ( f4 @ c7 ) @ ( f4 @ c8 ) )
= true )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(42,plain,
( ( ! [X22: $i] :
( ( p6 @ X22 @ X22 )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(43,plain,
( ( ! [X0: $i] :
( ( p2 @ X0 @ X0 )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(44,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(45,plain,
( ( ( a != b ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(46,plain,
( ( ! [X0: $i] :
( ( p2 @ X0 @ X0 )
= true ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(47,plain,
( ( ! [X22: $i] :
( ( p6 @ X22 @ X22 )
= true ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(48,plain,
( ( ( p2 @ ( f4 @ c7 ) @ ( f4 @ c8 ) )
= true )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(49,plain,
( ( ! [X20: $i,X21: $i] :
( ( ifeq2 @ ( p5 @ X20 @ X21 ) @ true @ ( p6 @ X20 @ X21 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(50,plain,
( ( ! [X16: $i] :
( ( p5 @ ( f3 @ ( f3 @ X16 ) ) @ ( f3 @ ( f4 @ X16 ) ) )
= true ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(51,plain,
( ( ! [X10: $i,X11: $i] :
( ( ifeq2 @ ( p6 @ ( f4 @ X10 ) @ X11 ) @ true @ ( p5 @ X10 @ X11 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(52,plain,
( ( ! [X27: $i] :
( ( ifeq2 @ ( p6 @ c7 @ X27 ) @ true @ ( p6 @ c7 @ ( f3 @ X27 ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(53,plain,
( ( ! [X10: $i,X11: $i] :
( ( ifeq2 @ ( p5 @ X10 @ X11 ) @ true @ ( p6 @ ( f4 @ X10 ) @ X11 ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(54,plain,
( ( ! [X3: $i,X4: $i] :
( ( ifeq2 @ ( p2 @ X3 @ X4 ) @ true @ ( p2 @ ( f3 @ X3 ) @ ( f3 @ X4 ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(55,plain,
( ( ! [X5: $i,X6: $i] :
( ( ifeq2 @ ( p2 @ X5 @ X6 ) @ true @ ( p2 @ ( f4 @ X5 ) @ ( f4 @ X6 ) ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(56,plain,
( ( ! [X0: $i,X2: $i,X1: $i] :
( ( ifeq2 @ ( p2 @ X0 @ X2 ) @ true @ ( ifeq2 @ ( p2 @ X0 @ X1 ) @ true @ ( p2 @ X1 @ X2 ) @ true ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(57,plain,
( ( ! [X19: $i,X18: $i,X17: $i] :
( ( ifeq2 @ ( p6 @ X19 @ X18 ) @ true @ ( ifeq2 @ ( p6 @ X17 @ X19 ) @ true @ ( p6 @ X17 @ X18 ) @ true ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(58,plain,
( ( ! [X7: $i,X9: $i,X8: $i] :
( ( ifeq2 @ ( p6 @ X7 @ X9 ) @ true @ ( ifeq2 @ ( p5 @ X9 @ X8 ) @ true @ ( p5 @ X7 @ X8 ) @ true ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(59,plain,
( ( ! [X25: $i,X24: $i,X26: $i,X23: $i] :
( ( ifeq2 @ ( p2 @ X25 @ X24 ) @ true @ ( ifeq2 @ ( p2 @ X26 @ X23 ) @ true @ ( ifeq2 @ ( p6 @ X26 @ X25 ) @ true @ ( p6 @ X23 @ X24 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(60,plain,
( ( ! [X14: $i,X12: $i,X15: $i,X13: $i] :
( ( ifeq2 @ ( p2 @ X14 @ X12 ) @ true @ ( ifeq2 @ ( p2 @ X15 @ X13 ) @ true @ ( ifeq2 @ ( p5 @ X14 @ X15 ) @ true @ ( p5 @ X12 @ X13 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(61,plain,
( ( ( ifeq @ ( p6 @ ( f4 @ c7 ) @ c8 ) @ true @ a @ b )
= b )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(62,plain,
( ( ( ifeq @ ( p6 @ ( f4 @ c7 ) @ ( f3 @ ( f4 @ c8 ) ) ) @ true @ a @ b )
= b )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(63,plain,
( ( ( a != b ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(64,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq2 @ A @ A @ B @ C )
= B ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(65,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(66,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(67,plain,
! [SV1: $i] :
( ( ( p2 @ SV1 @ SV1 )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(68,plain,
! [SV2: $i] :
( ( ( p6 @ SV2 @ SV2 )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(69,plain,
! [SV3: $i] :
( ( ! [SY37: $i] :
( ( ifeq2 @ ( p5 @ SV3 @ SY37 ) @ true @ ( p6 @ SV3 @ SY37 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(70,plain,
! [SV4: $i] :
( ( ( p5 @ ( f3 @ ( f3 @ SV4 ) ) @ ( f3 @ ( f4 @ SV4 ) ) )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(71,plain,
! [SV5: $i] :
( ( ! [SY38: $i] :
( ( ifeq2 @ ( p6 @ ( f4 @ SV5 ) @ SY38 ) @ true @ ( p5 @ SV5 @ SY38 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(72,plain,
! [SV6: $i] :
( ( ( ifeq2 @ ( p6 @ c7 @ SV6 ) @ true @ ( p6 @ c7 @ ( f3 @ SV6 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(73,plain,
! [SV7: $i] :
( ( ! [SY39: $i] :
( ( ifeq2 @ ( p5 @ SV7 @ SY39 ) @ true @ ( p6 @ ( f4 @ SV7 ) @ SY39 ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(74,plain,
! [SV8: $i] :
( ( ! [SY40: $i] :
( ( ifeq2 @ ( p2 @ SV8 @ SY40 ) @ true @ ( p2 @ ( f3 @ SV8 ) @ ( f3 @ SY40 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(75,plain,
! [SV9: $i] :
( ( ! [SY41: $i] :
( ( ifeq2 @ ( p2 @ SV9 @ SY41 ) @ true @ ( p2 @ ( f4 @ SV9 ) @ ( f4 @ SY41 ) ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(76,plain,
! [SV10: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ( ifeq2 @ ( p2 @ SV10 @ SY42 ) @ true @ ( ifeq2 @ ( p2 @ SV10 @ SY43 ) @ true @ ( p2 @ SY43 @ SY42 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(77,plain,
! [SV11: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ( ifeq2 @ ( p6 @ SV11 @ SY44 ) @ true @ ( ifeq2 @ ( p6 @ SY45 @ SV11 ) @ true @ ( p6 @ SY45 @ SY44 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(78,plain,
! [SV12: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ( ifeq2 @ ( p6 @ SV12 @ SY46 ) @ true @ ( ifeq2 @ ( p5 @ SY46 @ SY47 ) @ true @ ( p5 @ SV12 @ SY47 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(79,plain,
! [SV13: $i] :
( ( ! [SY48: $i,SY49: $i,SY50: $i] :
( ( ifeq2 @ ( p2 @ SV13 @ SY48 ) @ true @ ( ifeq2 @ ( p2 @ SY49 @ SY50 ) @ true @ ( ifeq2 @ ( p6 @ SY49 @ SV13 ) @ true @ ( p6 @ SY50 @ SY48 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(80,plain,
! [SV14: $i] :
( ( ! [SY51: $i,SY52: $i,SY53: $i] :
( ( ifeq2 @ ( p2 @ SV14 @ SY51 ) @ true @ ( ifeq2 @ ( p2 @ SY52 @ SY53 ) @ true @ ( ifeq2 @ ( p5 @ SV14 @ SY52 ) @ true @ ( p5 @ SY51 @ SY53 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(81,plain,
( ( a = b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(82,plain,
! [SV15: $i] :
( ( ! [SY54: $i,SY55: $i] :
( ( ifeq2 @ SV15 @ SV15 @ SY54 @ SY55 )
= SY54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(83,plain,
! [SV16: $i] :
( ( ! [SY56: $i,SY57: $i] :
( ( ifeq @ SV16 @ SV16 @ SY56 @ SY57 )
= SY56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(84,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(85,plain,
! [SV17: $i,SV3: $i] :
( ( ( ifeq2 @ ( p5 @ SV3 @ SV17 ) @ true @ ( p6 @ SV3 @ SV17 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(86,plain,
! [SV18: $i,SV5: $i] :
( ( ( ifeq2 @ ( p6 @ ( f4 @ SV5 ) @ SV18 ) @ true @ ( p5 @ SV5 @ SV18 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(87,plain,
! [SV19: $i,SV7: $i] :
( ( ( ifeq2 @ ( p5 @ SV7 @ SV19 ) @ true @ ( p6 @ ( f4 @ SV7 ) @ SV19 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(88,plain,
! [SV20: $i,SV8: $i] :
( ( ( ifeq2 @ ( p2 @ SV8 @ SV20 ) @ true @ ( p2 @ ( f3 @ SV8 ) @ ( f3 @ SV20 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(89,plain,
! [SV21: $i,SV9: $i] :
( ( ( ifeq2 @ ( p2 @ SV9 @ SV21 ) @ true @ ( p2 @ ( f4 @ SV9 ) @ ( f4 @ SV21 ) ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(90,plain,
! [SV22: $i,SV10: $i] :
( ( ! [SY58: $i] :
( ( ifeq2 @ ( p2 @ SV10 @ SV22 ) @ true @ ( ifeq2 @ ( p2 @ SV10 @ SY58 ) @ true @ ( p2 @ SY58 @ SV22 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(91,plain,
! [SV23: $i,SV11: $i] :
( ( ! [SY59: $i] :
( ( ifeq2 @ ( p6 @ SV11 @ SV23 ) @ true @ ( ifeq2 @ ( p6 @ SY59 @ SV11 ) @ true @ ( p6 @ SY59 @ SV23 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(92,plain,
! [SV24: $i,SV12: $i] :
( ( ! [SY60: $i] :
( ( ifeq2 @ ( p6 @ SV12 @ SV24 ) @ true @ ( ifeq2 @ ( p5 @ SV24 @ SY60 ) @ true @ ( p5 @ SV12 @ SY60 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(93,plain,
! [SV25: $i,SV13: $i] :
( ( ! [SY61: $i,SY62: $i] :
( ( ifeq2 @ ( p2 @ SV13 @ SV25 ) @ true @ ( ifeq2 @ ( p2 @ SY61 @ SY62 ) @ true @ ( ifeq2 @ ( p6 @ SY61 @ SV13 ) @ true @ ( p6 @ SY62 @ SV25 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV26: $i,SV14: $i] :
( ( ! [SY63: $i,SY64: $i] :
( ( ifeq2 @ ( p2 @ SV14 @ SV26 ) @ true @ ( ifeq2 @ ( p2 @ SY63 @ SY64 ) @ true @ ( ifeq2 @ ( p5 @ SV14 @ SY63 ) @ true @ ( p5 @ SV26 @ SY64 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV27: $i,SV15: $i] :
( ( ! [SY65: $i] :
( ( ifeq2 @ SV15 @ SV15 @ SV27 @ SY65 )
= SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(96,plain,
! [SV28: $i,SV16: $i] :
( ( ! [SY66: $i] :
( ( ifeq @ SV16 @ SV16 @ SV28 @ SY66 )
= SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(97,plain,
! [SV29: $i,SV22: $i,SV10: $i] :
( ( ( ifeq2 @ ( p2 @ SV10 @ SV22 ) @ true @ ( ifeq2 @ ( p2 @ SV10 @ SV29 ) @ true @ ( p2 @ SV29 @ SV22 ) @ true ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(98,plain,
! [SV30: $i,SV23: $i,SV11: $i] :
( ( ( ifeq2 @ ( p6 @ SV11 @ SV23 ) @ true @ ( ifeq2 @ ( p6 @ SV30 @ SV11 ) @ true @ ( p6 @ SV30 @ SV23 ) @ true ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(99,plain,
! [SV31: $i,SV24: $i,SV12: $i] :
( ( ( ifeq2 @ ( p6 @ SV12 @ SV24 ) @ true @ ( ifeq2 @ ( p5 @ SV24 @ SV31 ) @ true @ ( p5 @ SV12 @ SV31 ) @ true ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(100,plain,
! [SV32: $i,SV25: $i,SV13: $i] :
( ( ! [SY67: $i] :
( ( ifeq2 @ ( p2 @ SV13 @ SV25 ) @ true @ ( ifeq2 @ ( p2 @ SV32 @ SY67 ) @ true @ ( ifeq2 @ ( p6 @ SV32 @ SV13 ) @ true @ ( p6 @ SY67 @ SV25 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(101,plain,
! [SV33: $i,SV26: $i,SV14: $i] :
( ( ! [SY68: $i] :
( ( ifeq2 @ ( p2 @ SV14 @ SV26 ) @ true @ ( ifeq2 @ ( p2 @ SV33 @ SY68 ) @ true @ ( ifeq2 @ ( p5 @ SV14 @ SV33 ) @ true @ ( p5 @ SV26 @ SY68 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(102,plain,
! [SV34: $i,SV27: $i,SV15: $i] :
( ( ( ifeq2 @ SV15 @ SV15 @ SV27 @ SV34 )
= SV27 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(103,plain,
! [SV35: $i,SV28: $i,SV16: $i] :
( ( ( ifeq @ SV16 @ SV16 @ SV28 @ SV35 )
= SV28 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(104,plain,
! [SV36: $i,SV32: $i,SV25: $i,SV13: $i] :
( ( ( ifeq2 @ ( p2 @ SV13 @ SV25 ) @ true @ ( ifeq2 @ ( p2 @ SV32 @ SV36 ) @ true @ ( ifeq2 @ ( p6 @ SV32 @ SV13 ) @ true @ ( p6 @ SV36 @ SV25 ) @ true ) @ true ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV37: $i,SV33: $i,SV26: $i,SV14: $i] :
( ( ( ifeq2 @ ( p2 @ SV14 @ SV26 ) @ true @ ( ifeq2 @ ( p2 @ SV33 @ SV37 ) @ true @ ( ifeq2 @ ( p5 @ SV14 @ SV33 ) @ true @ ( p5 @ SV26 @ SV37 ) @ true ) @ true ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(106,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[48,105,104,103,102,99,98,97,89,88,87,86,85,84,81,72,70,68,67,62,61]) ).
thf(107,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN563-10 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.15 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jul 11 14:51:13 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.38
% 0.15/0.38 No.of.Axioms: 20
% 0.15/0.38
% 0.15/0.38 Length.of.Defs: 0
% 0.15/0.38
% 0.15/0.38 Contains.Choice.Funs: false
% 0.15/0.40 (rf:0,axioms:20,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:22,loop_count:0,foatp_calls:0,translation:fof_full)......
% 9.04/9.25
% 9.04/9.25 ********************************
% 9.04/9.25 * All subproblems solved! *
% 9.04/9.25 ********************************
% 9.04/9.25 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:20,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:106,loop_count:0,foatp_calls:1,translation:fof_full)
% 9.04/9.26
% 9.04/9.26 %**** Beginning of derivation protocol ****
% 9.04/9.26 % SZS output start CNFRefutation
% See solution above
% 9.04/9.26
% 9.04/9.26 %**** End of derivation protocol ****
% 9.04/9.26 %**** no. of clauses in derivation: 107 ****
% 9.04/9.26 %**** clause counter: 106 ****
% 9.04/9.26
% 9.04/9.26 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:20,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:106,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------